From fa09595d5ccdac631e816c17ecfc9b2b2f5798ec Mon Sep 17 00:00:00 2001 From: Michael McMaster Date: Sat, 6 Feb 2021 17:58:56 +1000 Subject: [PATCH] STMCUBEMX to 1.8 update --- Makefile.2020c | 2 - Makefile.2021 | 8 + STM32CubeMX/2020c/.mxproject | 4 +- .../Source/BasicMathFunctions/arm_abs_f32.c | 165 - .../Source/BasicMathFunctions/arm_abs_q15.c | 179 - .../Source/BasicMathFunctions/arm_abs_q31.c | 130 - .../Source/BasicMathFunctions/arm_abs_q7.c | 157 - .../Source/BasicMathFunctions/arm_add_f32.c | 150 - .../Source/BasicMathFunctions/arm_add_q15.c | 140 - .../Source/BasicMathFunctions/arm_add_q31.c | 148 - .../Source/BasicMathFunctions/arm_add_q7.c | 134 - .../BasicMathFunctions/arm_dot_prod_f32.c | 135 - .../BasicMathFunctions/arm_dot_prod_q15.c | 140 - .../BasicMathFunctions/arm_dot_prod_q31.c | 143 - .../BasicMathFunctions/arm_dot_prod_q7.c | 159 - .../Source/BasicMathFunctions/arm_mult_f32.c | 174 - .../Source/BasicMathFunctions/arm_mult_q15.c | 154 - 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STM32CubeMX/2020c/Middlewares/ST/STM32_USB_Host_Library/Core/Inc/usbh_ctlreq.h delete mode 100644 STM32CubeMX/2020c/Middlewares/ST/STM32_USB_Host_Library/Core/Inc/usbh_def.h delete mode 100644 STM32CubeMX/2020c/Middlewares/ST/STM32_USB_Host_Library/Core/Inc/usbh_ioreq.h delete mode 100644 STM32CubeMX/2020c/Middlewares/ST/STM32_USB_Host_Library/Core/Inc/usbh_pipes.h delete mode 100644 STM32CubeMX/2020c/Middlewares/ST/STM32_USB_Host_Library/Core/Src/usbh_conf_template.c delete mode 100644 STM32CubeMX/2020c/Middlewares/ST/STM32_USB_Host_Library/Core/Src/usbh_core.c delete mode 100644 STM32CubeMX/2020c/Middlewares/ST/STM32_USB_Host_Library/Core/Src/usbh_ctlreq.c delete mode 100644 STM32CubeMX/2020c/Middlewares/ST/STM32_USB_Host_Library/Core/Src/usbh_ioreq.c delete mode 100644 STM32CubeMX/2020c/Middlewares/ST/STM32_USB_Host_Library/Core/Src/usbh_pipes.c delete mode 100644 STM32CubeMX/2020c/TrueSTUDIO/SCSI2SD-V6 Configuration/.settings/com.atollic.truestudio.debug.hardware_device.prefs delete mode 100644 STM32CubeMX/2020c/TrueSTUDIO/SCSI2SD-V6 Configuration/SCSI2SD-V6 Configuration.elf.launch delete mode 100644 STM32CubeMX/2020c/TrueSTUDIO/SCSI2SD-V6 Configuration/STM32F205VC_FLASH.ld diff --git a/Makefile.2020c b/Makefile.2020c index 8c7057c4..33a3f4fd 100644 --- a/Makefile.2020c +++ b/Makefile.2020c @@ -39,7 +39,6 @@ build/2020c/stm32cubemx/stm32f2xx_it.o: STM32CubeMX/2020c/Src/stm32f2xx_it.c build/2020c/stm32cubemx/tim.o: STM32CubeMX/2020c/Src/tim.c build/2020c/stm32cubemx/usart.o: STM32CubeMX/2020c/Src/usart.c build/2020c/stm32cubemx/usbd_conf.o: STM32CubeMX/2020c/Src/usbd_conf.c -build/2020c/stm32cubemx/usb_otg_fs.o: STM32CubeMX/2020c/Src/usb_otg_fs.c build/2020c/stm32cubemx/stm32f2xx_hal.o: STM32CubeMX/2020c/Drivers/STM32F2xx_HAL_Driver/Src/stm32f2xx_hal.c build/2020c/stm32cubemx/stm32f2xx_hal_cortex.o: STM32CubeMX/2020c/Drivers/STM32F2xx_HAL_Driver/Src/stm32f2xx_hal_cortex.c build/2020c/stm32cubemx/stm32f2xx_hal_dma.o: STM32CubeMX/2020c/Drivers/STM32F2xx_HAL_Driver/Src/stm32f2xx_hal_dma.c @@ -77,7 +76,6 @@ STM32OBJS = \ build/2020c/stm32cubemx/tim.o \ build/2020c/stm32cubemx/usart.o \ build/2020c/stm32cubemx/usbd_conf.o \ - build/2020c/stm32cubemx/usb_otg_fs.o \ build/2020c/stm32cubemx/stm32f2xx_hal.o \ build/2020c/stm32cubemx/stm32f2xx_hal_cortex.o \ build/2020c/stm32cubemx/stm32f2xx_hal_dma.o \ diff --git a/Makefile.2021 b/Makefile.2021 index 7483ef61..5894e973 100644 --- a/Makefile.2021 +++ b/Makefile.2021 @@ -28,6 +28,7 @@ STM32CubeMX_INCUDE = \ all: build/firmware.V6.2021.dfu +build/2021/stm32cubemx/dma.o: STM32CubeMX/2021/Src/dma.c build/2021/stm32cubemx/fmc.o: STM32CubeMX/2021/Src/fmc.c build/2021/stm32cubemx/gpio.o: STM32CubeMX/2021/Src/gpio.c build/2021/stm32cubemx/main.o: STM32CubeMX/2021/Src/main.c @@ -46,13 +47,16 @@ build/2021/stm32cubemx/stm32f4xx_hal_gpio.o: STM32CubeMX/2021/Drivers/STM32F4xx_ build/2021/stm32cubemx/stm32f4xx_hal_hcd.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_hcd.c build/2021/stm32cubemx/stm32f4xx_hal_pcd.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_pcd.c build/2021/stm32cubemx/stm32f4xx_hal_pcd_ex.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_pcd_ex.c +build/2021/stm32cubemx/stm32f4xx_hal_pwr_ex.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_pwr_ex.c build/2021/stm32cubemx/stm32f4xx_hal_rcc.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_rcc.c +build/2021/stm32cubemx/stm32f4xx_hal_rcc_ex.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_rcc_ex.c build/2021/stm32cubemx/stm32f4xx_hal_sd.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_sd.c build/2021/stm32cubemx/stm32f4xx_hal_spi.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_spi.c build/2021/stm32cubemx/stm32f4xx_hal_sram.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_sram.c build/2021/stm32cubemx/stm32f4xx_hal_tim.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_tim.c build/2021/stm32cubemx/stm32f4xx_hal_tim_ex.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_tim_ex.c build/2021/stm32cubemx/stm32f4xx_hal_uart.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_hal_uart.c +build/2021/stm32cubemx/stm32f4xx_ll_fmc.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_ll_fmc.c build/2021/stm32cubemx/stm32f4xx_ll_fsmc.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_ll_fsmc.c build/2021/stm32cubemx/stm32f4xx_ll_sdmmc.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_ll_sdmmc.c build/2021/stm32cubemx/stm32f4xx_ll_usb.o: STM32CubeMX/2021/Drivers/STM32F4xx_HAL_Driver/Src/stm32f4xx_ll_usb.c @@ -63,6 +67,7 @@ build/2021/stm32cubemx/system_stm32f4xx.o: STM32CubeMX/2021/Drivers/CMSIS/Device build/2021/stm32cubemx/startup_stm32f446xx.o: STM32CubeMX/2021/Drivers/CMSIS/Device/ST/STM32F4xx/Source/Templates/gcc/startup_stm32f446xx.s STM32OBJS = \ + build/2021/stm32cubemx/dma.o \ build/2021/stm32cubemx/fmc.o \ build/2021/stm32cubemx/gpio.o \ build/2021/stm32cubemx/main.o \ @@ -81,13 +86,16 @@ STM32OBJS = \ build/2021/stm32cubemx/stm32f4xx_hal_hcd.o \ build/2021/stm32cubemx/stm32f4xx_hal_pcd.o \ build/2021/stm32cubemx/stm32f4xx_hal_pcd_ex.o \ + build/2021/stm32cubemx/stm32f4xx_hal_pwr_ex.o \ build/2021/stm32cubemx/stm32f4xx_hal_rcc.o \ + build/2021/stm32cubemx/stm32f4xx_hal_rcc_ex.o \ build/2021/stm32cubemx/stm32f4xx_hal_sd.o \ build/2021/stm32cubemx/stm32f4xx_hal_spi.o \ build/2021/stm32cubemx/stm32f4xx_hal_sram.o \ build/2021/stm32cubemx/stm32f4xx_hal_tim.o \ build/2021/stm32cubemx/stm32f4xx_hal_tim_ex.o \ build/2021/stm32cubemx/stm32f4xx_hal_uart.o \ + build/2021/stm32cubemx/stm32f4xx_ll_fmc.o \ build/2021/stm32cubemx/stm32f4xx_ll_fsmc.o \ build/2021/stm32cubemx/stm32f4xx_ll_sdmmc.o \ build/2021/stm32cubemx/stm32f4xx_ll_usb.o \ diff --git a/STM32CubeMX/2020c/.mxproject b/STM32CubeMX/2020c/.mxproject index 77d89994..b6a40d7c 100644 --- a/STM32CubeMX/2020c/.mxproject +++ b/STM32CubeMX/2020c/.mxproject @@ -5,10 +5,10 @@ SourceFiles=gpio.h;dma.h;ffconf.h;bsp_driver_sd.h;fatfs.h;fsmc.h;sdio.h;spi.h;ti HeaderFiles=gpio.h;dma.h;ffconf.h;bsp_driver_sd.h;fatfs.h;fsmc.h;sdio.h;spi.h;tim.h;usart.h;usb_device.h;usbd_conf.h;usbd_desc.h;usbd_storage_if.h;usb_host.h;usbh_conf.h;stm32f2xx_it.h;stm32f2xx_hal_conf.h;;sys.h;usb_otg_hs.h;usb_otg_fs.h;main.h; [PreviousLibFiles] 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CDefines=__weak:__attribute__((weak));__packed:__attribute__((__packed__));USE_HAL_DRIVER;STM32F205xx;USE_HAL_DRIVER;USE_HAL_DRIVER; diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_f32.c deleted file mode 100644 index 66b10df4..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_f32.c +++ /dev/null @@ -1,165 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_abs_f32.c -* -* Description: Vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" -#include - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicAbs Vector Absolute Value - * - * Computes the absolute value of a vector on an element-by-element basis. - * - * 
        
- *     pDst[n] = abs(pSrc[n]),   0 <= n < blockSize.        
- *
- * - * The functions support in-place computation allowing the source and - * destination pointers to reference the same memory buffer. - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - -/** - * @brief Floating-point vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_abs_f32( - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; /* temporary variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute and then store the results in the destination buffer. */ - /* read sample from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - - /* find absolute value */ - in1 = fabsf(in1); - - /* read sample from source */ - in4 = *(pSrc + 3); - - /* find absolute value */ - in2 = fabsf(in2); - - /* read sample from source */ - *pDst = in1; - - /* find absolute value */ - in3 = fabsf(in3); - - /* find absolute value */ - in4 = fabsf(in4); - - /* store result to destination */ - *(pDst + 1) = in2; - - /* store result to destination */ - *(pDst + 2) = in3; - - /* store result to destination */ - *(pDst + 3) = in4; - - - /* Update source pointer to process next sampels */ - pSrc += 4u; - - /* Update destination pointer to process next sampels */ - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute and then store the results in the destination buffer. */ - *pDst++ = fabsf(*pSrc++); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicAbs group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q15.c deleted file mode 100644 index f0af0911..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q15.c +++ /dev/null @@ -1,179 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_abs_q15.c -* -* Description: Q15 vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - -/** - * @brief Q15 vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. - */ - -void arm_abs_q15( - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - __SIMD32_TYPE *simd; - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t in1; /* Input value1 */ - q15_t in2; /* Input value2 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - simd = __SIMD32_CONST(pDst); - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read two inputs */ - in1 = *pSrc++; - in2 = *pSrc++; - - - /* Store the Absolute result in the destination buffer by packing the two values, in a single cycle */ -#ifndef ARM_MATH_BIG_ENDIAN - *simd++ = - __PKHBT(((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), - ((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), 16); - -#else - - - *simd++ = - __PKHBT(((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), - ((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - in1 = *pSrc++; - in2 = *pSrc++; - - -#ifndef ARM_MATH_BIG_ENDIAN - - *simd++ = - __PKHBT(((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), - ((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), 16); - -#else - - - *simd++ = - __PKHBT(((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), - ((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Decrement the loop counter */ - blkCnt--; - } - pDst = (q15_t *)simd; - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read the input */ - in1 = *pSrc++; - - /* Calculate absolute value of input and then store the result in the destination buffer. */ - *pDst++ = (in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t in; /* Temporary input variable */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read the input */ - in = *pSrc++; - - /* Calculate absolute value of input and then store the result in the destination buffer. */ - *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of BasicAbs group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q31.c deleted file mode 100644 index 294ba75a..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q31.c +++ /dev/null @@ -1,130 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_abs_q31.c -* -* Description: Q31 vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - - -/** - * @brief Q31 vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. - */ - -void arm_abs_q31( - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q31_t in; /* Input value */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and then store the results in the destination buffer. */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = (in1 > 0) ? in1 : (q31_t)__QSUB(0, in1); - *pDst++ = (in2 > 0) ? in2 : (q31_t)__QSUB(0, in2); - *pDst++ = (in3 > 0) ? in3 : (q31_t)__QSUB(0, in3); - *pDst++ = (in4 > 0) ? in4 : (q31_t)__QSUB(0, in4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute value of the input (if -1 then saturated to 0x7fffffff) and then store the results in the destination buffer. */ - in = *pSrc++; - *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); - - /* Decrement the loop counter */ - blkCnt--; - } - -} - -/** - * @} end of BasicAbs group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q7.c deleted file mode 100644 index 5056290c..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q7.c +++ /dev/null @@ -1,157 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_abs_q7.c -* -* Description: Q7 vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - -/** - * @brief Q7 vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - * - * \par Conditions for optimum performance - * Input and output buffers should be aligned by 32-bit - * - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. - */ - -void arm_abs_q7( - q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q7_t in; /* Input value1 */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; /* temporary input variables */ - q31_t out1, out2, out3, out4; /* temporary output variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read inputs */ - in1 = (q31_t) * pSrc; - in2 = (q31_t) * (pSrc + 1); - in3 = (q31_t) * (pSrc + 2); - - /* find absolute value */ - out1 = (in1 > 0) ? in1 : (q31_t)__QSUB8(0, in1); - - /* read input */ - in4 = (q31_t) * (pSrc + 3); - - /* find absolute value */ - out2 = (in2 > 0) ? in2 : (q31_t)__QSUB8(0, in2); - - /* store result to destination */ - *pDst = (q7_t) out1; - - /* find absolute value */ - out3 = (in3 > 0) ? in3 : (q31_t)__QSUB8(0, in3); - - /* find absolute value */ - out4 = (in4 > 0) ? in4 : (q31_t)__QSUB8(0, in4); - - /* store result to destination */ - *(pDst + 1) = (q7_t) out2; - - /* store result to destination */ - *(pDst + 2) = (q7_t) out3; - - /* store result to destination */ - *(pDst + 3) = (q7_t) out4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = blockSize; - -#endif // #define ARM_MATH_CM0_FAMILY - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read the input */ - in = *pSrc++; - - /* Store the Absolute result in the destination buffer */ - *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? 0x7f : -in); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicAbs group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_f32.c deleted file mode 100644 index 3430e83e..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_f32.c +++ /dev/null @@ -1,150 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_add_f32.c -* -* Description: Floating-point vector addition. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicAdd Vector Addition - * - * Element-by-element addition of two vectors. - * - * 
        
- *     pDst[n] = pSrcA[n] + pSrcB[n],   0 <= n < blockSize.        
- *
- * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - -/** - * @brief Floating-point vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_add_f32( - float32_t * pSrcA, - float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inA1, inA2, inA3, inA4; /* temporary input variabels */ - float32_t inB1, inB2, inB3, inB4; /* temporary input variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - - /* read four inputs from sourceA and four inputs from sourceB */ - inA1 = *pSrcA; - inB1 = *pSrcB; - inA2 = *(pSrcA + 1); - inB2 = *(pSrcB + 1); - inA3 = *(pSrcA + 2); - inB3 = *(pSrcB + 2); - inA4 = *(pSrcA + 3); - inB4 = *(pSrcB + 3); - - /* C = A + B */ - /* add and store result to destination */ - *pDst = inA1 + inB1; - *(pDst + 1) = inA2 + inB2; - *(pDst + 2) = inA3 + inB3; - *(pDst + 3) = inA4 + inB4; - - /* update pointers to process next samples */ - pSrcA += 4u; - pSrcB += 4u; - pDst += 4u; - - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (*pSrcA++) + (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicAdd group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q15.c deleted file mode 100644 index 570aa4c8..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q15.c +++ /dev/null @@ -1,140 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_add_q15.c -* -* Description: Q15 vector addition -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - -/** - * @brief Q15 vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_add_q15( - q15_t * pSrcA, - q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inB1, inB2; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - inA1 = *__SIMD32(pSrcA)++; - inA2 = *__SIMD32(pSrcA)++; - inB1 = *__SIMD32(pSrcB)++; - inB2 = *__SIMD32(pSrcB)++; - - *__SIMD32(pDst)++ = __QADD16(inA1, inB1); - *__SIMD32(pDst)++ = __QADD16(inA2, inB2); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __QADD16(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __SSAT(((q31_t) * pSrcA++ + *pSrcB++), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -} - -/** - * @} end of BasicAdd group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q31.c deleted file mode 100644 index 63d83a8e..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q31.c +++ /dev/null @@ -1,148 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_add_q31.c -* -* Description: Q31 vector addition. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - - -/** - * @brief Q31 vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_add_q31( - q31_t * pSrcA, - q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; - q31_t inB1, inB2, inB3, inB4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - *pDst++ = __QADD(inA1, inB1); - *pDst++ = __QADD(inA2, inB2); - *pDst++ = __QADD(inA3, inB3); - *pDst++ = __QADD(inA4, inB4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = __QADD(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrcA++ + *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of BasicAdd group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q7.c deleted file mode 100644 index 66e1e23c..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q7.c +++ /dev/null @@ -1,134 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_add_q7.c -* -* Description: Q7 vector addition. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - -/** - * @brief Q7 vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. - */ - -void arm_add_q7( - q7_t * pSrcA, - q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *__SIMD32(pDst)++ = __QADD8(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q7_t) __SSAT(*pSrcA++ + *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((q15_t) * pSrcA++ + *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -} - -/** - * @} end of BasicAdd group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_f32.c deleted file mode 100644 index d7f7bdcb..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_f32.c +++ /dev/null @@ -1,135 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_f32.c -* -* Description: Floating-point dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup dot_prod Vector Dot Product - * - * Computes the dot product of two vectors. - * The vectors are multiplied element-by-element and then summed. - * - * 
- *     sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1]
- *
- * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of floating-point vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - */ - - -void arm_dot_prod_f32( - float32_t * pSrcA, - float32_t * pSrcB, - uint32_t blockSize, - float32_t * result) -{ - float32_t sum = 0.0f; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer */ - sum += (*pSrcA++) * (*pSrcB++); - sum += (*pSrcA++) * (*pSrcB++); - sum += (*pSrcA++) * (*pSrcB++); - sum += (*pSrcA++) * (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - sum += (*pSrcA++) * (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - /* Store the result back in the destination buffer */ - *result = sum; -} - -/** - * @} end of dot_prod group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q15.c deleted file mode 100644 index 6f04ed1b..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q15.c +++ /dev/null @@ -1,140 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_q15.c -* -* Description: Q15 dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of Q15 vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these - * results are added to a 64-bit accumulator in 34.30 format. - * Nonsaturating additions are used and given that there are 33 guard bits in the accumulator - * there is no risk of overflow. - * The return result is in 34.30 format. - */ - -void arm_dot_prod_q15( - q15_t * pSrcA, - q15_t * pSrcB, - uint32_t blockSize, - q63_t * result) -{ - q63_t sum = 0; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - sum = __SMLALD(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++, sum); - sum = __SMLALD(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the results in a temporary buffer. */ - sum = __SMLALD(*pSrcA++, *pSrcB++, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the results in a temporary buffer. */ - sum += (q63_t) ((q31_t) * pSrcA++ * *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Store the result in the destination buffer in 34.30 format */ - *result = sum; - -} - -/** - * @} end of dot_prod group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q31.c deleted file mode 100644 index b199f8b8..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q31.c +++ /dev/null @@ -1,143 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_q31.c -* -* Description: Q31 dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of Q31 vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these - * are truncated to 2.48 format by discarding the lower 14 bits. - * The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. - * There are 15 guard bits in the accumulator and there is no risk of overflow as long as - * the length of the vectors is less than 2^16 elements. - * The return result is in 16.48 format. - */ - -void arm_dot_prod_q31( - q31_t * pSrcA, - q31_t * pSrcB, - uint32_t blockSize, - q63_t * result) -{ - q63_t sum = 0; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; - q31_t inB1, inB2, inB3, inB4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - sum += ((q63_t) inA1 * inB1) >> 14u; - sum += ((q63_t) inA2 * inB2) >> 14u; - sum += ((q63_t) inA3 * inB3) >> 14u; - sum += ((q63_t) inA4 * inB4) >> 14u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - sum += ((q63_t) * pSrcA++ * *pSrcB++) >> 14u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Store the result in the destination buffer in 16.48 format */ - *result = sum; -} - -/** - * @} end of dot_prod group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q7.c deleted file mode 100644 index 0ad6ae47..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q7.c +++ /dev/null @@ -1,159 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_q7.c -* -* Description: Q7 dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of Q7 vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these - * results are added to an accumulator in 18.14 format. - * Nonsaturating additions are used and there is no danger of wrap around as long as - * the vectors are less than 2^18 elements long. - * The return result is in 18.14 format. - */ - -void arm_dot_prod_q7( - q7_t * pSrcA, - q7_t * pSrcB, - uint32_t blockSize, - q31_t * result) -{ - uint32_t blkCnt; /* loop counter */ - - q31_t sum = 0; /* Temporary variables to store output */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t input1, input2; /* Temporary variables to store input */ - q31_t inA1, inA2, inB1, inB2; /* Temporary variables to store input */ - - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read 4 samples at a time from sourceA */ - input1 = *__SIMD32(pSrcA)++; - /* read 4 samples at a time from sourceB */ - input2 = *__SIMD32(pSrcB)++; - - /* extract two q7_t samples to q15_t samples */ - inA1 = __SXTB16(__ROR(input1, 8)); - /* extract reminaing two samples */ - inA2 = __SXTB16(input1); - /* extract two q7_t samples to q15_t samples */ - inB1 = __SXTB16(__ROR(input2, 8)); - /* extract reminaing two samples */ - inB2 = __SXTB16(input2); - - /* multiply and accumulate two samples at a time */ - sum = __SMLAD(inA1, inB1, sum); - sum = __SMLAD(inA2, inB2, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Dot product and then store the results in a temporary buffer. */ - sum = __SMLAD(*pSrcA++, *pSrcB++, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Dot product and then store the results in a temporary buffer. */ - sum += (q31_t) ((q15_t) * pSrcA++ * *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - /* Store the result in the destination buffer in 18.14 format */ - *result = sum; -} - -/** - * @} end of dot_prod group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_f32.c deleted file mode 100644 index 27eca680..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_f32.c +++ /dev/null @@ -1,174 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_mult_f32.c -* -* Description: Floating-point vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicMult Vector Multiplication - * - * Element-by-element multiplication of two vectors. - * - * 
        
- *     pDst[n] = pSrcA[n] * pSrcB[n],   0 <= n < blockSize.        
- *
- * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicMult - * @{ - */ - -/** - * @brief Floating-point vector multiplication. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_mult_f32( - float32_t * pSrcA, - float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inA1, inA2, inA3, inA4; /* temporary input variables */ - float32_t inB1, inB2, inB3, inB4; /* temporary input variables */ - float32_t out1, out2, out3, out4; /* temporary output variables */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the results in output buffer */ - /* read sample from sourceA */ - inA1 = *pSrcA; - /* read sample from sourceB */ - inB1 = *pSrcB; - /* read sample from sourceA */ - inA2 = *(pSrcA + 1); - /* read sample from sourceB */ - inB2 = *(pSrcB + 1); - - /* out = sourceA * sourceB */ - out1 = inA1 * inB1; - - /* read sample from sourceA */ - inA3 = *(pSrcA + 2); - /* read sample from sourceB */ - inB3 = *(pSrcB + 2); - - /* out = sourceA * sourceB */ - out2 = inA2 * inB2; - - /* read sample from sourceA */ - inA4 = *(pSrcA + 3); - - /* store result to destination buffer */ - *pDst = out1; - - /* read sample from sourceB */ - inB4 = *(pSrcB + 3); - - /* out = sourceA * sourceB */ - out3 = inA3 * inB3; - - /* store result to destination buffer */ - *(pDst + 1) = out2; - - /* out = sourceA * sourceB */ - out4 = inA4 * inB4; - /* store result to destination buffer */ - *(pDst + 2) = out3; - /* store result to destination buffer */ - *(pDst + 3) = out4; - - - /* update pointers to process next samples */ - pSrcA += 4u; - pSrcB += 4u; - pDst += 4u; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the results in output buffer */ - *pDst++ = (*pSrcA++) * (*pSrcB++); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q15.c deleted file mode 100644 index d546f8af..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q15.c +++ /dev/null @@ -1,154 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_mult_q15.c -* -* Description: Q15 vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicMult - * @{ - */ - - -/** - * @brief Q15 vector multiplication - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_mult_q15( - q15_t * pSrcA, - q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inB1, inB2; /* temporary input variables */ - q15_t out1, out2, out3, out4; /* temporary output variables */ - q31_t mul1, mul2, mul3, mul4; /* temporary variables */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read two samples at a time from sourceA */ - inA1 = *__SIMD32(pSrcA)++; - /* read two samples at a time from sourceB */ - inB1 = *__SIMD32(pSrcB)++; - /* read two samples at a time from sourceA */ - inA2 = *__SIMD32(pSrcA)++; - /* read two samples at a time from sourceB */ - inB2 = *__SIMD32(pSrcB)++; - - /* multiply mul = sourceA * sourceB */ - mul1 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); - mul2 = (q31_t) ((q15_t) inA1 * (q15_t) inB1); - mul3 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB2 >> 16)); - mul4 = (q31_t) ((q15_t) inA2 * (q15_t) inB2); - - /* saturate result to 16 bit */ - out1 = (q15_t) __SSAT(mul1 >> 15, 16); - out2 = (q15_t) __SSAT(mul2 >> 15, 16); - out3 = (q15_t) __SSAT(mul3 >> 15, 16); - out4 = (q15_t) __SSAT(mul4 >> 15, 16); - - /* store the result */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16); - *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16); - *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the result in the destination buffer */ - *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q31.c deleted file mode 100644 index ca8b07b9..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q31.c +++ /dev/null @@ -1,160 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_mult_q31.c -* -* Description: Q31 vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicMult - * @{ - */ - -/** - * @brief Q31 vector multiplication. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_mult_q31( - q31_t * pSrcA, - q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; /* temporary input variables */ - q31_t inB1, inB2, inB3, inB4; /* temporary input variables */ - q31_t out1, out2, out3, out4; /* temporary output variables */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and then store the results in the destination buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - out1 = ((q63_t) inA1 * inB1) >> 32; - out2 = ((q63_t) inA2 * inB2) >> 32; - out3 = ((q63_t) inA3 * inB3) >> 32; - out4 = ((q63_t) inA4 * inB4) >> 32; - - out1 = __SSAT(out1, 31); - out2 = __SSAT(out2, 31); - out3 = __SSAT(out3, 31); - out4 = __SSAT(out4, 31); - - *pDst++ = out1 << 1u; - *pDst++ = out2 << 1u; - *pDst++ = out3 << 1u; - *pDst++ = out4 << 1u; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and then store the results in the destination buffer. */ - inA1 = *pSrcA++; - inB1 = *pSrcB++; - out1 = ((q63_t) inA1 * inB1) >> 32; - out1 = __SSAT(out1, 31); - *pDst++ = out1 << 1u; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and then store the results in the destination buffer. */ - *pDst++ = - (q31_t) clip_q63_to_q31(((q63_t) (*pSrcA++) * (*pSrcB++)) >> 31); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ -} - -/** - * @} end of BasicMult group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q7.c deleted file mode 100644 index c2b50b67..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q7.c +++ /dev/null @@ -1,127 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_mult_q7.c -* -* Description: Q7 vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicMult - * @{ - */ - -/** - * @brief Q7 vector multiplication - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. - */ - -void arm_mult_q7( - q7_t * pSrcA, - q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q7_t out1, out2, out3, out4; /* Temporary variables to store the product */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the results in temporary variables */ - out1 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - out2 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - out3 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - out4 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - - /* Store the results of 4 inputs in the destination buffer in single cycle by packing */ - *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the result in the destination buffer */ - *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_f32.c deleted file mode 100644 index 4a260b05..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_f32.c +++ /dev/null @@ -1,146 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_negate_f32.c -* -* Description: Negates floating-point vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup negate Vector Negate - * - * Negates the elements of a vector. - * - * 
        
- *     pDst[n] = -pSrc[n],   0 <= n < blockSize.        
- *
- * - * The functions support in-place computation allowing the source and - * destination pointers to reference the same memory buffer. - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - */ - -void arm_negate_f32( - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; /* temporary variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read inputs from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* negate the input */ - in1 = -in1; - in2 = -in2; - in3 = -in3; - in4 = -in4; - - /* store the result to destination */ - *pDst = in1; - *(pDst + 1) = in2; - *(pDst + 2) = in3; - *(pDst + 3) = in4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the results in the destination buffer. */ - *pDst++ = -*pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q15.c deleted file mode 100644 index b130e7b5..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q15.c +++ /dev/null @@ -1,142 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_negate_q15.c -* -* Description: Negates Q15 vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * \par Conditions for optimum performance - * Input and output buffers should be aligned by 32-bit - * - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. - */ - -void arm_negate_q15( - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q15_t in; - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in1, in2; /* Temporary variables */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = -A */ - /* Read two inputs at a time */ - in1 = _SIMD32_OFFSET(pSrc); - in2 = _SIMD32_OFFSET(pSrc + 2); - - /* negate two samples at a time */ - in1 = __QSUB16(0, in1); - - /* negate two samples at a time */ - in2 = __QSUB16(0, in2); - - /* store the result to destination 2 samples at a time */ - _SIMD32_OFFSET(pDst) = in1; - /* store the result to destination 2 samples at a time */ - _SIMD32_OFFSET(pDst + 2) = in2; - - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the result in the destination buffer. */ - in = *pSrc++; - *pDst++ = (in == (q15_t) 0x8000) ? 0x7fff : -in; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q31.c deleted file mode 100644 index 470e151c..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q31.c +++ /dev/null @@ -1,129 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_negate_q31.c -* -* Description: Negates Q31 vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. - */ - -void arm_negate_q31( - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t in; /* Temporary variable */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the results in the destination buffer. */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = __QSUB(0, in1); - *pDst++ = __QSUB(0, in2); - *pDst++ = __QSUB(0, in3); - *pDst++ = __QSUB(0, in4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the result in the destination buffer. */ - in = *pSrc++; - *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q7.c deleted file mode 100644 index e1ba06dd..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q7.c +++ /dev/null @@ -1,125 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_negate_q7.c -* -* Description: Negates Q7 vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a Q7 vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. - */ - -void arm_negate_q7( - q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q7_t in; - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t input; /* Input values1-4 */ - q31_t zero = 0x00000000; - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = -A */ - /* Read four inputs */ - input = *__SIMD32(pSrc)++; - - /* Store the Negated results in the destination buffer in a single cycle by packing the results */ - *__SIMD32(pDst)++ = __QSUB8(zero, input); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the results in the destination buffer. */ \ - in = *pSrc++; - *pDst++ = (in == (q7_t) 0x80) ? 0x7f : -in; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_f32.c deleted file mode 100644 index 4f3f593d..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_f32.c +++ /dev/null @@ -1,165 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_offset_f32.c -* -* Description: Floating-point vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup offset Vector Offset - * - * Adds a constant offset to each element of a vector. - * - * 
        
- *     pDst[n] = pSrc[n] + offset,   0 <= n < blockSize.        
- *
- * - * The functions support in-place computation allowing the source and - * destination pointers to reference the same memory buffer. - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - */ - - -void arm_offset_f32( - float32_t * pSrc, - float32_t offset, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - /* read samples from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - - /* add offset to input */ - in1 = in1 + offset; - - /* read samples from source */ - in3 = *(pSrc + 2); - - /* add offset to input */ - in2 = in2 + offset; - - /* read samples from source */ - in4 = *(pSrc + 3); - - /* add offset to input */ - in3 = in3 + offset; - - /* store result to destination */ - *pDst = in1; - - /* add offset to input */ - in4 = in4 + offset; - - /* store result to destination */ - *(pDst + 1) = in2; - - /* store result to destination */ - *(pDst + 2) = in3; - - /* store result to destination */ - *(pDst + 3) = in4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (*pSrc++) + offset; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of offset group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q15.c deleted file mode 100644 index 81247533..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q15.c +++ /dev/null @@ -1,136 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_offset_q15.c -* -* Description: Q15 vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. - */ - -void arm_offset_q15( - q15_t * pSrc, - q15_t offset, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t offset_packed; /* Offset packed to 32 bit */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Offset is packed to 32 bit in order to use SIMD32 for addition */ - offset_packed = __PKHBT(offset, offset, 16); - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer, 2 samples at a time. */ - *__SIMD32(pDst)++ = __QADD16(*__SIMD32(pSrc)++, offset_packed); - *__SIMD32(pDst)++ = __QADD16(*__SIMD32(pSrc)++, offset_packed); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __QADD16(*pSrc++, offset); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __SSAT(((q31_t) * pSrc++ + offset), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of offset group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q31.c deleted file mode 100644 index 49516efb..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q31.c +++ /dev/null @@ -1,140 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_offset_q31.c -* -* Description: Q31 vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. - */ - -void arm_offset_q31( - q31_t * pSrc, - q31_t offset, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = __QADD(in1, offset); - *pDst++ = __QADD(in2, offset); - *pDst++ = __QADD(in3, offset); - *pDst++ = __QADD(in4, offset); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = __QADD(*pSrc++, offset); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of offset group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q7.c deleted file mode 100644 index 111b9b42..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q7.c +++ /dev/null @@ -1,135 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_offset_q7.c -* -* Description: Q7 vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a Q7 vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] are saturated. - */ - -void arm_offset_q7( - q7_t * pSrc, - q7_t offset, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t offset_packed; /* Offset packed to 32 bit */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Offset is packed to 32 bit in order to use SIMD32 for addition */ - offset_packed = __PACKq7(offset, offset, offset, offset); - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination bufferfor 4 samples at a time. */ - *__SIMD32(pDst)++ = __QADD8(*__SIMD32(pSrc)++, offset_packed); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((q15_t) * pSrc++ + offset, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of offset group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_f32.c deleted file mode 100644 index 2c4febc9..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_f32.c +++ /dev/null @@ -1,169 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_scale_f32.c -* -* Description: Multiplies a floating-point vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup scale Vector Scale - * - * Multiply a vector by a scalar value. For floating-point data, the algorithm used is: - * - * 
        
- *     pDst[n] = pSrc[n] * scale,   0 <= n < blockSize.        
- *
- * - * In the fixed-point Q7, Q15, and Q31 functions, scale is represented by - * a fractional multiplication scaleFract and an arithmetic shift shift. - * The shift allows the gain of the scaling operation to exceed 1.0. - * The algorithm used with fixed-point data is: - * - * 
        
- *     pDst[n] = (pSrc[n] * scaleFract) << shift,   0 <= n < blockSize.        
- *
- * - * The overall scale factor applied to the fixed-point data is - * 
        
- *     scale = scaleFract * 2^shift.        
- *
- * - * The functions support in-place computation allowing the source and destination - * pointers to reference the same memory buffer. - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a floating-point vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scale scale factor to be applied - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - */ - - -void arm_scale_f32( - float32_t * pSrc, - float32_t scale, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; /* temporary variabels */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the results in the destination buffer. */ - /* read input samples from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - - /* multiply with scaling factor */ - in1 = in1 * scale; - - /* read input sample from source */ - in3 = *(pSrc + 2); - - /* multiply with scaling factor */ - in2 = in2 * scale; - - /* read input sample from source */ - in4 = *(pSrc + 3); - - /* multiply with scaling factor */ - in3 = in3 * scale; - in4 = in4 * scale; - /* store the result to destination */ - *pDst = in1; - *(pDst + 1) = in2; - *(pDst + 2) = in3; - *(pDst + 3) = in4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (*pSrc++) * scale; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of scale group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q15.c deleted file mode 100644 index 4587cce2..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q15.c +++ /dev/null @@ -1,162 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_scale_q15.c -* -* Description: Multiplies a Q15 vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a Q15 vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The input data *pSrc and scaleFract are in 1.15 format. - * These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format. - */ - - -void arm_scale_q15( - q15_t * pSrc, - q15_t scaleFract, - int8_t shift, - q15_t * pDst, - uint32_t blockSize) -{ - int8_t kShift = 15 - shift; /* shift to apply after scaling */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q15_t in1, in2, in3, in4; - q31_t inA1, inA2; /* Temporary variables */ - q31_t out1, out2, out3, out4; - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Reading 2 inputs from memory */ - inA1 = *__SIMD32(pSrc)++; - inA2 = *__SIMD32(pSrc)++; - - /* C = A * scale */ - /* Scale the inputs and then store the 2 results in the destination buffer - * in single cycle by packing the outputs */ - out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract); - out2 = (q31_t) ((q15_t) inA1 * scaleFract); - out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract); - out4 = (q31_t) ((q15_t) inA2 * scaleFract); - - /* apply shifting */ - out1 = out1 >> kShift; - out2 = out2 >> kShift; - out3 = out3 >> kShift; - out4 = out4 >> kShift; - - /* saturate the output */ - in1 = (q15_t) (__SSAT(out1, 16)); - in2 = (q15_t) (__SSAT(out2, 16)); - in3 = (q15_t) (__SSAT(out3, 16)); - in4 = (q15_t) (__SSAT(out4, 16)); - - /* store the result to destination */ - *__SIMD32(pDst)++ = __PKHBT(in2, in1, 16); - *__SIMD32(pDst)++ = __PKHBT(in4, in3, 16); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q15_t) (__SSAT(((*pSrc++) * scaleFract) >> kShift, 16)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q15_t) (__SSAT(((q31_t) * pSrc++ * scaleFract) >> kShift, 16)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of scale group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q31.c deleted file mode 100644 index 2dba5bd7..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q31.c +++ /dev/null @@ -1,239 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_scale_q31.c -* -* Description: Multiplies a Q31 vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a Q31 vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The input data *pSrc and scaleFract are in 1.31 format. - * These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format. - */ - -void arm_scale_q31( - q31_t * pSrc, - q31_t scaleFract, - int8_t shift, - q31_t * pDst, - uint32_t blockSize) -{ - int8_t kShift = shift + 1; /* Shift to apply after scaling */ - int8_t sign = (kShift & 0x80); - uint32_t blkCnt; /* loop counter */ - q31_t in, out; - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in1, in2, in3, in4; /* temporary input variables */ - q31_t out1, out2, out3, out4; /* temporary output variabels */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read four inputs from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* multiply input with scaler value */ - in1 = ((q63_t) in1 * scaleFract) >> 32; - in2 = ((q63_t) in2 * scaleFract) >> 32; - in3 = ((q63_t) in3 * scaleFract) >> 32; - in4 = ((q63_t) in4 * scaleFract) >> 32; - - /* apply shifting */ - out1 = in1 << kShift; - out2 = in2 << kShift; - - /* saturate the results. */ - if(in1 != (out1 >> kShift)) - out1 = 0x7FFFFFFF ^ (in1 >> 31); - - if(in2 != (out2 >> kShift)) - out2 = 0x7FFFFFFF ^ (in2 >> 31); - - out3 = in3 << kShift; - out4 = in4 << kShift; - - *pDst = out1; - *(pDst + 1) = out2; - - if(in3 != (out3 >> kShift)) - out3 = 0x7FFFFFFF ^ (in3 >> 31); - - if(in4 != (out4 >> kShift)) - out4 = 0x7FFFFFFF ^ (in4 >> 31); - - /* Store result destination */ - *(pDst + 2) = out3; - *(pDst + 3) = out4; - - /* Update pointers to process next sampels */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - } - else - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read four inputs from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* multiply input with scaler value */ - in1 = ((q63_t) in1 * scaleFract) >> 32; - in2 = ((q63_t) in2 * scaleFract) >> 32; - in3 = ((q63_t) in3 * scaleFract) >> 32; - in4 = ((q63_t) in4 * scaleFract) >> 32; - - /* apply shifting */ - out1 = in1 >> -kShift; - out2 = in2 >> -kShift; - - out3 = in3 >> -kShift; - out4 = in4 >> -kShift; - - /* Store result destination */ - *pDst = out1; - *(pDst + 1) = out2; - - *(pDst + 2) = out3; - *(pDst + 3) = out4; - - /* Update pointers to process next sampels */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - } - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - if(sign == 0) - { - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - in = *pSrc++; - in = ((q63_t) in * scaleFract) >> 32; - - out = in << kShift; - - if(in != (out >> kShift)) - out = 0x7FFFFFFF ^ (in >> 31); - - *pDst++ = out; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - in = *pSrc++; - in = ((q63_t) in * scaleFract) >> 32; - - out = in >> -kShift; - - *pDst++ = out; - - /* Decrement the loop counter */ - blkCnt--; - } - - } -} - -/** - * @} end of scale group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q7.c deleted file mode 100644 index 330c739c..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q7.c +++ /dev/null @@ -1,149 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_scale_q7.c -* -* Description: Multiplies a Q7 vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a Q7 vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The input data *pSrc and scaleFract are in 1.7 format. - * These are multiplied to yield a 2.14 intermediate result and this is shifted with saturation to 1.7 format. - */ - -void arm_scale_q7( - q7_t * pSrc, - q7_t scaleFract, - int8_t shift, - q7_t * pDst, - uint32_t blockSize) -{ - int8_t kShift = 7 - shift; /* shift to apply after scaling */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q7_t in1, in2, in3, in4, out1, out2, out3, out4; /* Temporary variables to store input & output */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Reading 4 inputs from memory */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - /* C = A * scale */ - /* Scale the inputs and then store the results in the temporary variables. */ - out1 = (q7_t) (__SSAT(((in1) * scaleFract) >> kShift, 8)); - out2 = (q7_t) (__SSAT(((in2) * scaleFract) >> kShift, 8)); - out3 = (q7_t) (__SSAT(((in3) * scaleFract) >> kShift, 8)); - out4 = (q7_t) (__SSAT(((in4) * scaleFract) >> kShift, 8)); - - /* Packing the individual outputs into 32bit and storing in - * destination buffer in single write */ - *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) (__SSAT(((*pSrc++) * scaleFract) >> kShift, 8)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) (__SSAT((((q15_t) * pSrc++ * scaleFract) >> kShift), 8)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of scale group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q15.c deleted file mode 100644 index b2d27e60..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q15.c +++ /dev/null @@ -1,248 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_shift_q15.c -* -* Description: Shifts the elements of a Q15 vector by a specified number of bits. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup shift - * @{ - */ - -/** - * @brief Shifts the elements of a Q15 vector a specified number of bits. - * @param[in] *pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_shift_q15( - q15_t * pSrc, - int8_t shiftBits, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - uint8_t sign; /* Sign of shiftBits */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t in1, in2; /* Temporary variables */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Read 2 inputs */ - in1 = *pSrc++; - in2 = *pSrc++; - /* C = A << shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in1 << shiftBits), 16), - __SSAT((in2 << shiftBits), 16), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in2 << shiftBits), 16), - __SSAT((in1 << shiftBits), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - in1 = *pSrc++; - in2 = *pSrc++; - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in1 << shiftBits), 16), - __SSAT((in2 << shiftBits), 16), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in2 << shiftBits), 16), - __SSAT((in1 << shiftBits), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift and then store the results in the destination buffer. */ - *pDst++ = __SSAT((*pSrc++ << shiftBits), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Read 2 inputs */ - in1 = *pSrc++; - in2 = *pSrc++; - - /* C = A >> shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT((in1 >> -shiftBits), - (in2 >> -shiftBits), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT((in2 >> -shiftBits), - (in1 >> -shiftBits), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - in1 = *pSrc++; - in2 = *pSrc++; - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT((in1 >> -shiftBits), - (in2 >> -shiftBits), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT((in2 >> -shiftBits), - (in1 >> -shiftBits), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ - *pDst++ = (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift and then store the results in the destination buffer. */ - *pDst++ = __SSAT(((q31_t) * pSrc++ << shiftBits), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ - *pDst++ = (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of shift group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q31.c deleted file mode 100644 index 59904911..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q31.c +++ /dev/null @@ -1,203 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_shift_q31.c -* -* Description: Shifts the elements of a Q31 vector by a specified number of bits. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ -/** - * @defgroup shift Vector Shift - * - * Shifts the elements of a fixed-point vector by a specified number of bits. - * There are separate functions for Q7, Q15, and Q31 data types. - * The underlying algorithm used is: - * - * 
        
- *     pDst[n] = pSrc[n] << shift,   0 <= n < blockSize.        
- *
- * - * If shift is positive then the elements of the vector are shifted to the left. - * If shift is negative then the elements of the vector are shifted to the right. - * - * The functions support in-place computation allowing the source and destination - * pointers to reference the same memory buffer. - */ - -/** - * @addtogroup shift - * @{ - */ - -/** - * @brief Shifts the elements of a Q31 vector a specified number of bits. - * @param[in] *pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_shift_q31( - q31_t * pSrc, - int8_t shiftBits, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */ - -#ifndef ARM_MATH_CM0_FAMILY - - q31_t in1, in2, in3, in4; /* Temporary input variables */ - q31_t out1, out2, out3, out4; /* Temporary output variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift the input and then store the results in the destination buffer. */ - in1 = *pSrc; - in2 = *(pSrc + 1); - out1 = in1 << shiftBits; - in3 = *(pSrc + 2); - out2 = in2 << shiftBits; - in4 = *(pSrc + 3); - if(in1 != (out1 >> shiftBits)) - out1 = 0x7FFFFFFF ^ (in1 >> 31); - - if(in2 != (out2 >> shiftBits)) - out2 = 0x7FFFFFFF ^ (in2 >> 31); - - *pDst = out1; - out3 = in3 << shiftBits; - *(pDst + 1) = out2; - out4 = in4 << shiftBits; - - if(in3 != (out3 >> shiftBits)) - out3 = 0x7FFFFFFF ^ (in3 >> 31); - - if(in4 != (out4 >> shiftBits)) - out4 = 0x7FFFFFFF ^ (in4 >> 31); - - *(pDst + 2) = out3; - *(pDst + 3) = out4; - - /* Update destination pointer to process next sampels */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the input and then store the results in the destination buffer. */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - *pDst = (in1 >> -shiftBits); - *(pDst + 1) = (in2 >> -shiftBits); - *(pDst + 2) = (in3 >> -shiftBits); - *(pDst + 3) = (in4 >> -shiftBits); - - - pSrc += 4u; - pDst += 4u; - - blkCnt--; - } - - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A (>> or <<) shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (sign == 0u) ? clip_q63_to_q31((q63_t) * pSrc++ << shiftBits) : - (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - - -} - -/** - * @} end of shift group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q7.c deleted file mode 100644 index f9250540..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q7.c +++ /dev/null @@ -1,220 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_shift_q7.c -* -* Description: Processing function for the Q7 Shifting -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup shift - * @{ - */ - - -/** - * @brief Shifts the elements of a Q7 vector a specified number of bits. - * @param[in] *pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * \par Conditions for optimum performance - * Input and output buffers should be aligned by 32-bit - * - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x8 0x7F] will be saturated. - */ - -void arm_shift_q7( - q7_t * pSrc, - int8_t shiftBits, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - uint8_t sign; /* Sign of shiftBits */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q7_t in1; /* Input value1 */ - q7_t in2; /* Input value2 */ - q7_t in3; /* Input value3 */ - q7_t in4; /* Input value4 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Read 4 inputs */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* Store the Shifted result in the destination buffer in single cycle by packing the outputs */ - *__SIMD32(pDst)++ = __PACKq7(__SSAT((in1 << shiftBits), 8), - __SSAT((in2 << shiftBits), 8), - __SSAT((in3 << shiftBits), 8), - __SSAT((in4 << shiftBits), 8)); - /* Update source pointer to process next sampels */ - pSrc += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((*pSrc++ << shiftBits), 8); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - shiftBits = -shiftBits; - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Read 4 inputs */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* Store the Shifted result in the destination buffer in single cycle by packing the outputs */ - *__SIMD32(pDst)++ = __PACKq7((in1 >> shiftBits), (in2 >> shiftBits), - (in3 >> shiftBits), (in4 >> shiftBits)); - - - pSrc += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - in1 = *pSrc++; - *pDst++ = (in1 >> shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT(((q15_t) * pSrc++ << shiftBits), 8); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ -} - -/** - * @} end of shift group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_f32.c deleted file mode 100644 index e7ff234a..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_f32.c +++ /dev/null @@ -1,150 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_sub_f32.c -* -* Description: Floating-point vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicSub Vector Subtraction - * - * Element-by-element subtraction of two vectors. - * - * 
        
- *     pDst[n] = pSrcA[n] - pSrcB[n],   0 <= n < blockSize.        
- *
- * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicSub - * @{ - */ - - -/** - * @brief Floating-point vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_sub_f32( - float32_t * pSrcA, - float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inA1, inA2, inA3, inA4; /* temporary variables */ - float32_t inB1, inB2, inB3, inB4; /* temporary variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer. */ - /* Read 4 input samples from sourceA and sourceB */ - inA1 = *pSrcA; - inB1 = *pSrcB; - inA2 = *(pSrcA + 1); - inB2 = *(pSrcB + 1); - inA3 = *(pSrcA + 2); - inB3 = *(pSrcB + 2); - inA4 = *(pSrcA + 3); - inB4 = *(pSrcB + 3); - - /* dst = srcA - srcB */ - /* subtract and store the result */ - *pDst = inA1 - inB1; - *(pDst + 1) = inA2 - inB2; - *(pDst + 2) = inA3 - inB3; - *(pDst + 3) = inA4 - inB4; - - - /* Update pointers to process next sampels */ - pSrcA += 4u; - pSrcB += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer. */ - *pDst++ = (*pSrcA++) - (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicSub group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q15.c deleted file mode 100644 index 420db7f7..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q15.c +++ /dev/null @@ -1,140 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_sub_q15.c -* -* Description: Q15 vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicSub - * @{ - */ - -/** - * @brief Q15 vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_sub_q15( - q15_t * pSrcA, - q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2; - q31_t inB1, inB2; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer two samples at a time. */ - inA1 = *__SIMD32(pSrcA)++; - inA2 = *__SIMD32(pSrcA)++; - inB1 = *__SIMD32(pSrcB)++; - inB2 = *__SIMD32(pSrcB)++; - - *__SIMD32(pDst)++ = __QSUB16(inA1, inB1); - *__SIMD32(pDst)++ = __QSUB16(inA2, inB2); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q15_t) __QSUB16(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q15_t) __SSAT(((q31_t) * pSrcA++ - *pSrcB++), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -} - -/** - * @} end of BasicSub group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q31.c deleted file mode 100644 index 40ee7e10..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q31.c +++ /dev/null @@ -1,146 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_sub_q31.c -* -* Description: Q31 vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicSub - * @{ - */ - -/** - * @brief Q31 vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_sub_q31( - q31_t * pSrcA, - q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; - q31_t inB1, inB2, inB3, inB4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - *pDst++ = __QSUB(inA1, inB1); - *pDst++ = __QSUB(inA2, inB2); - *pDst++ = __QSUB(inA3, inB3); - *pDst++ = __QSUB(inA4, inB4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = __QSUB(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrcA++ - *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of BasicSub group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q7.c deleted file mode 100644 index 2a2cb5e3..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q7.c +++ /dev/null @@ -1,131 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_sub_q7.c -* -* Description: Q7 vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicSub - * @{ - */ - -/** - * @brief Q7 vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. - */ - -void arm_sub_q7( - q7_t * pSrcA, - q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer 4 samples at a time. */ - *__SIMD32(pDst)++ = __QSUB8(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = __SSAT(*pSrcA++ - *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((q15_t) * pSrcA++ - *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -} - -/** - * @} end of BasicSub group - */ diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/CommonTables/arm_common_tables.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/CommonTables/arm_common_tables.c deleted file mode 100644 index 79fe976e..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/CommonTables/arm_common_tables.c +++ /dev/null @@ -1,27251 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_common_tables.c -* -* Description: This file has common tables like fft twiddle factors, Bitreverse, reciprocal etc which are used across different functions -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup CFFT_CIFFT Complex FFT Tables - * @{ - */ - -/** -* \par -* Pseudo code for Generation of Bit reversal Table is -* \par -* 
for(l=1;l <= N/4;l++)    
-* {    
-*   for(i=0;i> 1;    
-*  }
-* \par -* where N = 4096 logN2 = 12 -* \par -* N is the maximum FFT Size supported -*/ - -/* -* @brief Table for bit reversal process -*/ -const uint16_t armBitRevTable[1024] = { - 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x80, 0x480, 0x280, - 0x680, 0x180, 0x580, 0x380, 0x780, 0x40, 0x440, 0x240, 0x640, 0x140, - 0x540, 0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0, - 0x7c0, 0x20, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0xa0, - 0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460, 0x260, - 0x660, 0x160, 0x560, 0x360, 0x760, 0xe0, 0x4e0, 0x2e0, 0x6e0, 0x1e0, - 0x5e0, 0x3e0, 0x7e0, 0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, - 0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x50, - 0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, - 0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230, 0x630, 0x130, - 0x530, 0x330, 0x730, 0xb0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, - 0x7b0, 0x70, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0xf0, - 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x8, 0x408, 0x208, - 0x608, 0x108, 0x508, 0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188, - 0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348, - 0x748, 0xc8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, - 0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8, 0x4a8, 0x2a8, - 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x68, 0x468, 0x268, 0x668, 0x168, - 0x568, 0x368, 0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8, - 0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x98, - 0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258, - 0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8, 0x2d8, 0x6d8, 0x1d8, - 0x5d8, 0x3d8, 0x7d8, 0x38, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, - 0x738, 0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x78, - 0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0xf8, 0x4f8, 0x2f8, - 0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604, 0x104, - 0x504, 0x304, 0x704, 0x84, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384, - 0x784, 0x44, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4, - 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x24, 0x424, 0x224, - 0x624, 0x124, 0x524, 0x324, 0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, - 0x5a4, 0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364, - 0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, - 0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494, 0x294, - 0x694, 0x194, 0x594, 0x394, 0x794, 0x54, 0x454, 0x254, 0x654, 0x154, - 0x554, 0x354, 0x754, 0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, - 0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0xb4, - 0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, - 0x674, 0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4, 0x6f4, 0x1f4, - 0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, - 0x70c, 0x8c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x4c, - 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0xcc, 0x4cc, 0x2cc, - 0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c, - 0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac, - 0x7ac, 0x6c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, - 0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c, 0x41c, 0x21c, - 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x9c, 0x49c, 0x29c, 0x69c, 0x19c, - 0x59c, 0x39c, 0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c, - 0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x3c, - 0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc, - 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c, 0x27c, 0x67c, 0x17c, - 0x57c, 0x37c, 0x77c, 0xfc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, - 0x7fc, 0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x82, - 0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x42, 0x442, 0x242, - 0x642, 0x142, 0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2, 0x1c2, - 0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322, - 0x722, 0xa2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62, - 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0xe2, 0x4e2, 0x2e2, - 0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, - 0x512, 0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392, - 0x792, 0x52, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0xd2, - 0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432, 0x232, - 0x632, 0x132, 0x532, 0x332, 0x732, 0xb2, 0x4b2, 0x2b2, 0x6b2, 0x1b2, - 0x5b2, 0x3b2, 0x7b2, 0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372, - 0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0xa, - 0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, - 0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a, 0x64a, 0x14a, - 0x54a, 0x34a, 0x74a, 0xca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, - 0x7ca, 0x2a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0xaa, - 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x6a, 0x46a, 0x26a, - 0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea, - 0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a, - 0x71a, 0x9a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, - 0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda, 0x4da, 0x2da, - 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x3a, 0x43a, 0x23a, 0x63a, 0x13a, - 0x53a, 0x33a, 0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba, - 0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0xfa, - 0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206, - 0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486, 0x286, 0x686, 0x186, - 0x586, 0x386, 0x786, 0x46, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346, - 0x746, 0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x26, - 0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0xa6, 0x4a6, 0x2a6, - 0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666, 0x166, - 0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6, - 0x7e6, 0x16, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96, - 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x56, 0x456, 0x256, - 0x656, 0x156, 0x556, 0x356, 0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, - 0x5d6, 0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336, - 0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, - 0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6, 0x2f6, - 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe, 0x40e, 0x20e, 0x60e, 0x10e, - 0x50e, 0x30e, 0x70e, 0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e, - 0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0xce, - 0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, - 0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae, 0x6ae, 0x1ae, - 0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e, - 0x76e, 0xee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x1e, - 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x9e, 0x49e, 0x29e, - 0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e, - 0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de, - 0x7de, 0x3e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, - 0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e, 0x47e, 0x27e, - 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, - 0x5fe, 0x3fe, 0x7fe, 0x1 -}; - - -/* -* @brief Floating-point Twiddle factors Table Generation -*/ - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* 
for(i = 0; i< N/; i++)    
-* {    
-*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 16 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_16[32] = { - 1.000000000f, 0.000000000f, - 0.923879533f, 0.382683432f, - 0.707106781f, 0.707106781f, - 0.382683432f, 0.923879533f, - 0.000000000f, 1.000000000f, - -0.382683432f, 0.923879533f, - -0.707106781f, 0.707106781f, - -0.923879533f, 0.382683432f, - -1.000000000f, 0.000000000f, - -0.923879533f, -0.382683432f, - -0.707106781f, -0.707106781f, - -0.382683432f, -0.923879533f, - -0.000000000f, -1.000000000f, - 0.382683432f, -0.923879533f, - 0.707106781f, -0.707106781f, - 0.923879533f, -0.382683432f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* 
for(i = 0; i< N/; i++)    
-* {    
-*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 32 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_32[64] = { - 1.000000000f, 0.000000000f, - 0.980785280f, 0.195090322f, - 0.923879533f, 0.382683432f, - 0.831469612f, 0.555570233f, - 0.707106781f, 0.707106781f, - 0.555570233f, 0.831469612f, - 0.382683432f, 0.923879533f, - 0.195090322f, 0.980785280f, - 0.000000000f, 1.000000000f, - -0.195090322f, 0.980785280f, - -0.382683432f, 0.923879533f, - -0.555570233f, 0.831469612f, - -0.707106781f, 0.707106781f, - -0.831469612f, 0.555570233f, - -0.923879533f, 0.382683432f, - -0.980785280f, 0.195090322f, - -1.000000000f, 0.000000000f, - -0.980785280f, -0.195090322f, - -0.923879533f, -0.382683432f, - -0.831469612f, -0.555570233f, - -0.707106781f, -0.707106781f, - -0.555570233f, -0.831469612f, - -0.382683432f, -0.923879533f, - -0.195090322f, -0.980785280f, - -0.000000000f, -1.000000000f, - 0.195090322f, -0.980785280f, - 0.382683432f, -0.923879533f, - 0.555570233f, -0.831469612f, - 0.707106781f, -0.707106781f, - 0.831469612f, -0.555570233f, - 0.923879533f, -0.382683432f, - 0.980785280f, -0.195090322f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* 
for(i = 0; i< N/; i++)    
-* {    
-*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 64 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_64[128] = { - 1.000000000f, 0.000000000f, - 0.995184727f, 0.098017140f, - 0.980785280f, 0.195090322f, - 0.956940336f, 0.290284677f, - 0.923879533f, 0.382683432f, - 0.881921264f, 0.471396737f, - 0.831469612f, 0.555570233f, - 0.773010453f, 0.634393284f, - 0.707106781f, 0.707106781f, - 0.634393284f, 0.773010453f, - 0.555570233f, 0.831469612f, - 0.471396737f, 0.881921264f, - 0.382683432f, 0.923879533f, - 0.290284677f, 0.956940336f, - 0.195090322f, 0.980785280f, - 0.098017140f, 0.995184727f, - 0.000000000f, 1.000000000f, - -0.098017140f, 0.995184727f, - -0.195090322f, 0.980785280f, - -0.290284677f, 0.956940336f, - -0.382683432f, 0.923879533f, - -0.471396737f, 0.881921264f, - -0.555570233f, 0.831469612f, - -0.634393284f, 0.773010453f, - -0.707106781f, 0.707106781f, - -0.773010453f, 0.634393284f, - -0.831469612f, 0.555570233f, - -0.881921264f, 0.471396737f, - -0.923879533f, 0.382683432f, - -0.956940336f, 0.290284677f, - -0.980785280f, 0.195090322f, - -0.995184727f, 0.098017140f, - -1.000000000f, 0.000000000f, - -0.995184727f, -0.098017140f, - -0.980785280f, -0.195090322f, - -0.956940336f, -0.290284677f, - -0.923879533f, -0.382683432f, - -0.881921264f, -0.471396737f, - -0.831469612f, -0.555570233f, - -0.773010453f, -0.634393284f, - -0.707106781f, -0.707106781f, - -0.634393284f, -0.773010453f, - -0.555570233f, -0.831469612f, - -0.471396737f, -0.881921264f, - -0.382683432f, -0.923879533f, - -0.290284677f, -0.956940336f, - -0.195090322f, -0.980785280f, - -0.098017140f, -0.995184727f, - -0.000000000f, -1.000000000f, - 0.098017140f, -0.995184727f, - 0.195090322f, -0.980785280f, - 0.290284677f, -0.956940336f, - 0.382683432f, -0.923879533f, - 0.471396737f, -0.881921264f, - 0.555570233f, -0.831469612f, - 0.634393284f, -0.773010453f, - 0.707106781f, -0.707106781f, - 0.773010453f, -0.634393284f, - 0.831469612f, -0.555570233f, - 0.881921264f, -0.471396737f, - 0.923879533f, -0.382683432f, - 0.956940336f, -0.290284677f, - 0.980785280f, -0.195090322f, - 0.995184727f, -0.098017140f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* 
for(i = 0; i< N/; i++)    
-* {    
-*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 128 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ - -const float32_t twiddleCoef_128[256] = { - 1.000000000f , 0.000000000f , - 0.998795456f , 0.049067674f , - 0.995184727f , 0.098017140f , - 0.989176510f , 0.146730474f , - 0.980785280f , 0.195090322f , - 0.970031253f , 0.242980180f , - 0.956940336f , 0.290284677f , - 0.941544065f , 0.336889853f , - 0.923879533f , 0.382683432f , - 0.903989293f , 0.427555093f , - 0.881921264f , 0.471396737f , - 0.857728610f , 0.514102744f , - 0.831469612f , 0.555570233f , - 0.803207531f , 0.595699304f , - 0.773010453f , 0.634393284f , - 0.740951125f , 0.671558955f , - 0.707106781f , 0.707106781f , - 0.671558955f , 0.740951125f , - 0.634393284f , 0.773010453f , - 0.595699304f , 0.803207531f , - 0.555570233f , 0.831469612f , - 0.514102744f , 0.857728610f , - 0.471396737f , 0.881921264f , - 0.427555093f , 0.903989293f , - 0.382683432f , 0.923879533f , - 0.336889853f , 0.941544065f , - 0.290284677f , 0.956940336f , - 0.242980180f , 0.970031253f , - 0.195090322f , 0.980785280f , - 0.146730474f , 0.989176510f , - 0.098017140f , 0.995184727f , - 0.049067674f , 0.998795456f , - 0.000000000f , 1.000000000f , - -0.049067674f , 0.998795456f , - -0.098017140f , 0.995184727f , - -0.146730474f , 0.989176510f , - -0.195090322f , 0.980785280f , - -0.242980180f , 0.970031253f , - -0.290284677f , 0.956940336f , - -0.336889853f , 0.941544065f , - -0.382683432f , 0.923879533f , - -0.427555093f , 0.903989293f , - -0.471396737f , 0.881921264f , - -0.514102744f , 0.857728610f , - -0.555570233f , 0.831469612f , - -0.595699304f , 0.803207531f , - -0.634393284f , 0.773010453f , - -0.671558955f , 0.740951125f , - -0.707106781f , 0.707106781f , - -0.740951125f , 0.671558955f , - -0.773010453f , 0.634393284f , - -0.803207531f , 0.595699304f , - -0.831469612f , 0.555570233f , - -0.857728610f , 0.514102744f , - -0.881921264f , 0.471396737f , - -0.903989293f , 0.427555093f , - -0.923879533f , 0.382683432f , - -0.941544065f , 0.336889853f , - -0.956940336f , 0.290284677f , - -0.970031253f , 0.242980180f , - -0.980785280f , 0.195090322f , - -0.989176510f , 0.146730474f , - -0.995184727f , 0.098017140f , - -0.998795456f , 0.049067674f , - -1.000000000f , 0.000000000f , - -0.998795456f , -0.049067674f , - -0.995184727f , -0.098017140f , - -0.989176510f , -0.146730474f , - -0.980785280f , -0.195090322f , - -0.970031253f , -0.242980180f , - -0.956940336f , -0.290284677f , - -0.941544065f , -0.336889853f , - -0.923879533f , -0.382683432f , - -0.903989293f , -0.427555093f , - -0.881921264f , -0.471396737f , - -0.857728610f , -0.514102744f , - -0.831469612f , -0.555570233f , - -0.803207531f , -0.595699304f , - -0.773010453f , -0.634393284f , - -0.740951125f , -0.671558955f , - -0.707106781f , -0.707106781f , - -0.671558955f , -0.740951125f , - -0.634393284f , -0.773010453f , - -0.595699304f , -0.803207531f , - -0.555570233f , -0.831469612f , - -0.514102744f , -0.857728610f , - -0.471396737f , -0.881921264f , - -0.427555093f , -0.903989293f , - -0.382683432f , -0.923879533f , - -0.336889853f , -0.941544065f , - -0.290284677f , -0.956940336f , - -0.242980180f , -0.970031253f , - -0.195090322f , -0.980785280f , - -0.146730474f , -0.989176510f , - -0.098017140f , -0.995184727f , - -0.049067674f , -0.998795456f , - -0.000000000f , -1.000000000f , - 0.049067674f , -0.998795456f , - 0.098017140f , -0.995184727f , - 0.146730474f , -0.989176510f , - 0.195090322f , -0.980785280f , - 0.242980180f , -0.970031253f , - 0.290284677f , -0.956940336f , - 0.336889853f , -0.941544065f , - 0.382683432f , -0.923879533f , - 0.427555093f , -0.903989293f , - 0.471396737f , -0.881921264f , - 0.514102744f , -0.857728610f , - 0.555570233f , -0.831469612f , - 0.595699304f , -0.803207531f , - 0.634393284f , -0.773010453f , - 0.671558955f , -0.740951125f , - 0.707106781f , -0.707106781f , - 0.740951125f , -0.671558955f , - 0.773010453f , -0.634393284f , - 0.803207531f , -0.595699304f , - 0.831469612f , -0.555570233f , - 0.857728610f , -0.514102744f , - 0.881921264f , -0.471396737f , - 0.903989293f , -0.427555093f , - 0.923879533f , -0.382683432f , - 0.941544065f , -0.336889853f , - 0.956940336f , -0.290284677f , - 0.970031253f , -0.242980180f , - 0.980785280f , -0.195090322f , - 0.989176510f , -0.146730474f , - 0.995184727f , -0.098017140f , - 0.998795456f , -0.049067674f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* 
for(i = 0; i< N/; i++)    
-* {    
-*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 256 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_256[512] = { - 1.000000000f, 0.000000000f, - 0.999698819f, 0.024541229f, - 0.998795456f, 0.049067674f, - 0.997290457f, 0.073564564f, - 0.995184727f, 0.098017140f, - 0.992479535f, 0.122410675f, - 0.989176510f, 0.146730474f, - 0.985277642f, 0.170961889f, - 0.980785280f, 0.195090322f, - 0.975702130f, 0.219101240f, - 0.970031253f, 0.242980180f, - 0.963776066f, 0.266712757f, - 0.956940336f, 0.290284677f, - 0.949528181f, 0.313681740f, - 0.941544065f, 0.336889853f, - 0.932992799f, 0.359895037f, - 0.923879533f, 0.382683432f, - 0.914209756f, 0.405241314f, - 0.903989293f, 0.427555093f, - 0.893224301f, 0.449611330f, - 0.881921264f, 0.471396737f, - 0.870086991f, 0.492898192f, - 0.857728610f, 0.514102744f, - 0.844853565f, 0.534997620f, - 0.831469612f, 0.555570233f, - 0.817584813f, 0.575808191f, - 0.803207531f, 0.595699304f, - 0.788346428f, 0.615231591f, - 0.773010453f, 0.634393284f, - 0.757208847f, 0.653172843f, - 0.740951125f, 0.671558955f, - 0.724247083f, 0.689540545f, - 0.707106781f, 0.707106781f, - 0.689540545f, 0.724247083f, - 0.671558955f, 0.740951125f, - 0.653172843f, 0.757208847f, - 0.634393284f, 0.773010453f, - 0.615231591f, 0.788346428f, - 0.595699304f, 0.803207531f, - 0.575808191f, 0.817584813f, - 0.555570233f, 0.831469612f, - 0.534997620f, 0.844853565f, - 0.514102744f, 0.857728610f, - 0.492898192f, 0.870086991f, - 0.471396737f, 0.881921264f, - 0.449611330f, 0.893224301f, - 0.427555093f, 0.903989293f, - 0.405241314f, 0.914209756f, - 0.382683432f, 0.923879533f, - 0.359895037f, 0.932992799f, - 0.336889853f, 0.941544065f, - 0.313681740f, 0.949528181f, - 0.290284677f, 0.956940336f, - 0.266712757f, 0.963776066f, - 0.242980180f, 0.970031253f, - 0.219101240f, 0.975702130f, - 0.195090322f, 0.980785280f, - 0.170961889f, 0.985277642f, - 0.146730474f, 0.989176510f, - 0.122410675f, 0.992479535f, - 0.098017140f, 0.995184727f, - 0.073564564f, 0.997290457f, - 0.049067674f, 0.998795456f, - 0.024541229f, 0.999698819f, - 0.000000000f, 1.000000000f, - -0.024541229f, 0.999698819f, - -0.049067674f, 0.998795456f, - -0.073564564f, 0.997290457f, - -0.098017140f, 0.995184727f, - -0.122410675f, 0.992479535f, - -0.146730474f, 0.989176510f, - -0.170961889f, 0.985277642f, - -0.195090322f, 0.980785280f, - -0.219101240f, 0.975702130f, - -0.242980180f, 0.970031253f, - -0.266712757f, 0.963776066f, - -0.290284677f, 0.956940336f, - -0.313681740f, 0.949528181f, - -0.336889853f, 0.941544065f, - -0.359895037f, 0.932992799f, - -0.382683432f, 0.923879533f, - -0.405241314f, 0.914209756f, - -0.427555093f, 0.903989293f, - -0.449611330f, 0.893224301f, - -0.471396737f, 0.881921264f, - -0.492898192f, 0.870086991f, - -0.514102744f, 0.857728610f, - -0.534997620f, 0.844853565f, - -0.555570233f, 0.831469612f, - -0.575808191f, 0.817584813f, - -0.595699304f, 0.803207531f, - -0.615231591f, 0.788346428f, - -0.634393284f, 0.773010453f, - -0.653172843f, 0.757208847f, - -0.671558955f, 0.740951125f, - -0.689540545f, 0.724247083f, - -0.707106781f, 0.707106781f, - -0.724247083f, 0.689540545f, - -0.740951125f, 0.671558955f, - -0.757208847f, 0.653172843f, - -0.773010453f, 0.634393284f, - -0.788346428f, 0.615231591f, - -0.803207531f, 0.595699304f, - -0.817584813f, 0.575808191f, - -0.831469612f, 0.555570233f, - -0.844853565f, 0.534997620f, - -0.857728610f, 0.514102744f, - -0.870086991f, 0.492898192f, - -0.881921264f, 0.471396737f, - -0.893224301f, 0.449611330f, - -0.903989293f, 0.427555093f, - -0.914209756f, 0.405241314f, - -0.923879533f, 0.382683432f, - -0.932992799f, 0.359895037f, - -0.941544065f, 0.336889853f, - -0.949528181f, 0.313681740f, - -0.956940336f, 0.290284677f, - -0.963776066f, 0.266712757f, - -0.970031253f, 0.242980180f, - -0.975702130f, 0.219101240f, - -0.980785280f, 0.195090322f, - -0.985277642f, 0.170961889f, - -0.989176510f, 0.146730474f, - -0.992479535f, 0.122410675f, - -0.995184727f, 0.098017140f, - -0.997290457f, 0.073564564f, - -0.998795456f, 0.049067674f, - -0.999698819f, 0.024541229f, - -1.000000000f, 0.000000000f, - -0.999698819f, -0.024541229f, - -0.998795456f, -0.049067674f, - -0.997290457f, -0.073564564f, - -0.995184727f, -0.098017140f, - -0.992479535f, -0.122410675f, - -0.989176510f, -0.146730474f, - -0.985277642f, -0.170961889f, - -0.980785280f, -0.195090322f, - -0.975702130f, -0.219101240f, - -0.970031253f, -0.242980180f, - -0.963776066f, -0.266712757f, - -0.956940336f, -0.290284677f, - -0.949528181f, -0.313681740f, - -0.941544065f, -0.336889853f, - -0.932992799f, -0.359895037f, - -0.923879533f, -0.382683432f, - -0.914209756f, -0.405241314f, - -0.903989293f, -0.427555093f, - -0.893224301f, -0.449611330f, - -0.881921264f, -0.471396737f, - -0.870086991f, -0.492898192f, - -0.857728610f, -0.514102744f, - -0.844853565f, -0.534997620f, - -0.831469612f, -0.555570233f, - -0.817584813f, -0.575808191f, - -0.803207531f, -0.595699304f, - -0.788346428f, -0.615231591f, - -0.773010453f, -0.634393284f, - -0.757208847f, -0.653172843f, - -0.740951125f, -0.671558955f, - -0.724247083f, -0.689540545f, - -0.707106781f, -0.707106781f, - -0.689540545f, -0.724247083f, - -0.671558955f, -0.740951125f, - -0.653172843f, -0.757208847f, - -0.634393284f, -0.773010453f, - -0.615231591f, -0.788346428f, - -0.595699304f, -0.803207531f, - -0.575808191f, -0.817584813f, - -0.555570233f, -0.831469612f, - -0.534997620f, -0.844853565f, - -0.514102744f, -0.857728610f, - -0.492898192f, -0.870086991f, - -0.471396737f, -0.881921264f, - -0.449611330f, -0.893224301f, - -0.427555093f, -0.903989293f, - -0.405241314f, -0.914209756f, - -0.382683432f, -0.923879533f, - -0.359895037f, -0.932992799f, - -0.336889853f, -0.941544065f, - -0.313681740f, -0.949528181f, - -0.290284677f, -0.956940336f, - -0.266712757f, -0.963776066f, - -0.242980180f, -0.970031253f, - -0.219101240f, -0.975702130f, - -0.195090322f, -0.980785280f, - -0.170961889f, -0.985277642f, - -0.146730474f, -0.989176510f, - -0.122410675f, -0.992479535f, - -0.098017140f, -0.995184727f, - -0.073564564f, -0.997290457f, - -0.049067674f, -0.998795456f, - -0.024541229f, -0.999698819f, - -0.000000000f, -1.000000000f, - 0.024541229f, -0.999698819f, - 0.049067674f, -0.998795456f, - 0.073564564f, -0.997290457f, - 0.098017140f, -0.995184727f, - 0.122410675f, -0.992479535f, - 0.146730474f, -0.989176510f, - 0.170961889f, -0.985277642f, - 0.195090322f, -0.980785280f, - 0.219101240f, -0.975702130f, - 0.242980180f, -0.970031253f, - 0.266712757f, -0.963776066f, - 0.290284677f, -0.956940336f, - 0.313681740f, -0.949528181f, - 0.336889853f, -0.941544065f, - 0.359895037f, -0.932992799f, - 0.382683432f, -0.923879533f, - 0.405241314f, -0.914209756f, - 0.427555093f, -0.903989293f, - 0.449611330f, -0.893224301f, - 0.471396737f, -0.881921264f, - 0.492898192f, -0.870086991f, - 0.514102744f, -0.857728610f, - 0.534997620f, -0.844853565f, - 0.555570233f, -0.831469612f, - 0.575808191f, -0.817584813f, - 0.595699304f, -0.803207531f, - 0.615231591f, -0.788346428f, - 0.634393284f, -0.773010453f, - 0.653172843f, -0.757208847f, - 0.671558955f, -0.740951125f, - 0.689540545f, -0.724247083f, - 0.707106781f, -0.707106781f, - 0.724247083f, -0.689540545f, - 0.740951125f, -0.671558955f, - 0.757208847f, -0.653172843f, - 0.773010453f, -0.634393284f, - 0.788346428f, -0.615231591f, - 0.803207531f, -0.595699304f, - 0.817584813f, -0.575808191f, - 0.831469612f, -0.555570233f, - 0.844853565f, -0.534997620f, - 0.857728610f, -0.514102744f, - 0.870086991f, -0.492898192f, - 0.881921264f, -0.471396737f, - 0.893224301f, -0.449611330f, - 0.903989293f, -0.427555093f, - 0.914209756f, -0.405241314f, - 0.923879533f, -0.382683432f, - 0.932992799f, -0.359895037f, - 0.941544065f, -0.336889853f, - 0.949528181f, -0.313681740f, - 0.956940336f, -0.290284677f, - 0.963776066f, -0.266712757f, - 0.970031253f, -0.242980180f, - 0.975702130f, -0.219101240f, - 0.980785280f, -0.195090322f, - 0.985277642f, -0.170961889f, - 0.989176510f, -0.146730474f, - 0.992479535f, -0.122410675f, - 0.995184727f, -0.098017140f, - 0.997290457f, -0.073564564f, - 0.998795456f, -0.049067674f, - 0.999698819f, -0.024541229f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* 
for(i = 0; i< N/; i++)    
-* {    
-*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 512 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_512[1024] = { - 1.000000000f, 0.000000000f, - 0.999924702f, 0.012271538f, - 0.999698819f, 0.024541229f, - 0.999322385f, 0.036807223f, - 0.998795456f, 0.049067674f, - 0.998118113f, 0.061320736f, - 0.997290457f, 0.073564564f, - 0.996312612f, 0.085797312f, - 0.995184727f, 0.098017140f, - 0.993906970f, 0.110222207f, - 0.992479535f, 0.122410675f, - 0.990902635f, 0.134580709f, - 0.989176510f, 0.146730474f, - 0.987301418f, 0.158858143f, - 0.985277642f, 0.170961889f, - 0.983105487f, 0.183039888f, - 0.980785280f, 0.195090322f, - 0.978317371f, 0.207111376f, - 0.975702130f, 0.219101240f, - 0.972939952f, 0.231058108f, - 0.970031253f, 0.242980180f, - 0.966976471f, 0.254865660f, - 0.963776066f, 0.266712757f, - 0.960430519f, 0.278519689f, - 0.956940336f, 0.290284677f, - 0.953306040f, 0.302005949f, - 0.949528181f, 0.313681740f, - 0.945607325f, 0.325310292f, - 0.941544065f, 0.336889853f, - 0.937339012f, 0.348418680f, - 0.932992799f, 0.359895037f, - 0.928506080f, 0.371317194f, - 0.923879533f, 0.382683432f, - 0.919113852f, 0.393992040f, - 0.914209756f, 0.405241314f, - 0.909167983f, 0.416429560f, - 0.903989293f, 0.427555093f, - 0.898674466f, 0.438616239f, - 0.893224301f, 0.449611330f, - 0.887639620f, 0.460538711f, - 0.881921264f, 0.471396737f, - 0.876070094f, 0.482183772f, - 0.870086991f, 0.492898192f, - 0.863972856f, 0.503538384f, - 0.857728610f, 0.514102744f, - 0.851355193f, 0.524589683f, - 0.844853565f, 0.534997620f, - 0.838224706f, 0.545324988f, - 0.831469612f, 0.555570233f, - 0.824589303f, 0.565731811f, - 0.817584813f, 0.575808191f, - 0.810457198f, 0.585797857f, - 0.803207531f, 0.595699304f, - 0.795836905f, 0.605511041f, - 0.788346428f, 0.615231591f, - 0.780737229f, 0.624859488f, - 0.773010453f, 0.634393284f, - 0.765167266f, 0.643831543f, - 0.757208847f, 0.653172843f, - 0.749136395f, 0.662415778f, - 0.740951125f, 0.671558955f, - 0.732654272f, 0.680600998f, - 0.724247083f, 0.689540545f, - 0.715730825f, 0.698376249f, - 0.707106781f, 0.707106781f, - 0.698376249f, 0.715730825f, - 0.689540545f, 0.724247083f, - 0.680600998f, 0.732654272f, - 0.671558955f, 0.740951125f, - 0.662415778f, 0.749136395f, - 0.653172843f, 0.757208847f, - 0.643831543f, 0.765167266f, - 0.634393284f, 0.773010453f, - 0.624859488f, 0.780737229f, - 0.615231591f, 0.788346428f, - 0.605511041f, 0.795836905f, - 0.595699304f, 0.803207531f, - 0.585797857f, 0.810457198f, - 0.575808191f, 0.817584813f, - 0.565731811f, 0.824589303f, - 0.555570233f, 0.831469612f, - 0.545324988f, 0.838224706f, - 0.534997620f, 0.844853565f, - 0.524589683f, 0.851355193f, - 0.514102744f, 0.857728610f, - 0.503538384f, 0.863972856f, - 0.492898192f, 0.870086991f, - 0.482183772f, 0.876070094f, - 0.471396737f, 0.881921264f, - 0.460538711f, 0.887639620f, - 0.449611330f, 0.893224301f, - 0.438616239f, 0.898674466f, - 0.427555093f, 0.903989293f, - 0.416429560f, 0.909167983f, - 0.405241314f, 0.914209756f, - 0.393992040f, 0.919113852f, - 0.382683432f, 0.923879533f, - 0.371317194f, 0.928506080f, - 0.359895037f, 0.932992799f, - 0.348418680f, 0.937339012f, - 0.336889853f, 0.941544065f, - 0.325310292f, 0.945607325f, - 0.313681740f, 0.949528181f, - 0.302005949f, 0.953306040f, - 0.290284677f, 0.956940336f, - 0.278519689f, 0.960430519f, - 0.266712757f, 0.963776066f, - 0.254865660f, 0.966976471f, - 0.242980180f, 0.970031253f, - 0.231058108f, 0.972939952f, - 0.219101240f, 0.975702130f, - 0.207111376f, 0.978317371f, - 0.195090322f, 0.980785280f, - 0.183039888f, 0.983105487f, - 0.170961889f, 0.985277642f, - 0.158858143f, 0.987301418f, - 0.146730474f, 0.989176510f, - 0.134580709f, 0.990902635f, - 0.122410675f, 0.992479535f, - 0.110222207f, 0.993906970f, - 0.098017140f, 0.995184727f, - 0.085797312f, 0.996312612f, - 0.073564564f, 0.997290457f, - 0.061320736f, 0.998118113f, - 0.049067674f, 0.998795456f, - 0.036807223f, 0.999322385f, - 0.024541229f, 0.999698819f, - 0.012271538f, 0.999924702f, - 0.000000000f, 1.000000000f, - -0.012271538f, 0.999924702f, - -0.024541229f, 0.999698819f, - -0.036807223f, 0.999322385f, - -0.049067674f, 0.998795456f, - -0.061320736f, 0.998118113f, - -0.073564564f, 0.997290457f, - -0.085797312f, 0.996312612f, - -0.098017140f, 0.995184727f, - -0.110222207f, 0.993906970f, - -0.122410675f, 0.992479535f, - -0.134580709f, 0.990902635f, - -0.146730474f, 0.989176510f, - -0.158858143f, 0.987301418f, - -0.170961889f, 0.985277642f, - -0.183039888f, 0.983105487f, - -0.195090322f, 0.980785280f, - -0.207111376f, 0.978317371f, - -0.219101240f, 0.975702130f, - -0.231058108f, 0.972939952f, - -0.242980180f, 0.970031253f, - -0.254865660f, 0.966976471f, - -0.266712757f, 0.963776066f, - -0.278519689f, 0.960430519f, - -0.290284677f, 0.956940336f, - -0.302005949f, 0.953306040f, - -0.313681740f, 0.949528181f, - -0.325310292f, 0.945607325f, - -0.336889853f, 0.941544065f, - -0.348418680f, 0.937339012f, - -0.359895037f, 0.932992799f, - -0.371317194f, 0.928506080f, - -0.382683432f, 0.923879533f, - -0.393992040f, 0.919113852f, - -0.405241314f, 0.914209756f, - -0.416429560f, 0.909167983f, - -0.427555093f, 0.903989293f, - -0.438616239f, 0.898674466f, - -0.449611330f, 0.893224301f, - -0.460538711f, 0.887639620f, - -0.471396737f, 0.881921264f, - -0.482183772f, 0.876070094f, - -0.492898192f, 0.870086991f, - -0.503538384f, 0.863972856f, - -0.514102744f, 0.857728610f, - -0.524589683f, 0.851355193f, - -0.534997620f, 0.844853565f, - -0.545324988f, 0.838224706f, - -0.555570233f, 0.831469612f, - -0.565731811f, 0.824589303f, - -0.575808191f, 0.817584813f, - -0.585797857f, 0.810457198f, - -0.595699304f, 0.803207531f, - -0.605511041f, 0.795836905f, - -0.615231591f, 0.788346428f, - -0.624859488f, 0.780737229f, - -0.634393284f, 0.773010453f, - -0.643831543f, 0.765167266f, - -0.653172843f, 0.757208847f, - -0.662415778f, 0.749136395f, - -0.671558955f, 0.740951125f, - -0.680600998f, 0.732654272f, - -0.689540545f, 0.724247083f, - -0.698376249f, 0.715730825f, - -0.707106781f, 0.707106781f, - -0.715730825f, 0.698376249f, - -0.724247083f, 0.689540545f, - -0.732654272f, 0.680600998f, - -0.740951125f, 0.671558955f, - -0.749136395f, 0.662415778f, - -0.757208847f, 0.653172843f, - -0.765167266f, 0.643831543f, - -0.773010453f, 0.634393284f, - -0.780737229f, 0.624859488f, - -0.788346428f, 0.615231591f, - -0.795836905f, 0.605511041f, - -0.803207531f, 0.595699304f, - -0.810457198f, 0.585797857f, - -0.817584813f, 0.575808191f, - -0.824589303f, 0.565731811f, - -0.831469612f, 0.555570233f, - -0.838224706f, 0.545324988f, - -0.844853565f, 0.534997620f, - -0.851355193f, 0.524589683f, - -0.857728610f, 0.514102744f, - -0.863972856f, 0.503538384f, - -0.870086991f, 0.492898192f, - -0.876070094f, 0.482183772f, - -0.881921264f, 0.471396737f, - -0.887639620f, 0.460538711f, - -0.893224301f, 0.449611330f, - -0.898674466f, 0.438616239f, - -0.903989293f, 0.427555093f, - -0.909167983f, 0.416429560f, - -0.914209756f, 0.405241314f, - -0.919113852f, 0.393992040f, - -0.923879533f, 0.382683432f, - -0.928506080f, 0.371317194f, - -0.932992799f, 0.359895037f, - -0.937339012f, 0.348418680f, - -0.941544065f, 0.336889853f, - -0.945607325f, 0.325310292f, - -0.949528181f, 0.313681740f, - -0.953306040f, 0.302005949f, - -0.956940336f, 0.290284677f, - -0.960430519f, 0.278519689f, - -0.963776066f, 0.266712757f, - -0.966976471f, 0.254865660f, - -0.970031253f, 0.242980180f, - -0.972939952f, 0.231058108f, - -0.975702130f, 0.219101240f, - -0.978317371f, 0.207111376f, - -0.980785280f, 0.195090322f, - -0.983105487f, 0.183039888f, - -0.985277642f, 0.170961889f, - -0.987301418f, 0.158858143f, - -0.989176510f, 0.146730474f, - -0.990902635f, 0.134580709f, - -0.992479535f, 0.122410675f, - -0.993906970f, 0.110222207f, - -0.995184727f, 0.098017140f, - -0.996312612f, 0.085797312f, - -0.997290457f, 0.073564564f, - -0.998118113f, 0.061320736f, - -0.998795456f, 0.049067674f, - -0.999322385f, 0.036807223f, - -0.999698819f, 0.024541229f, - -0.999924702f, 0.012271538f, - -1.000000000f, 0.000000000f, - -0.999924702f, -0.012271538f, - -0.999698819f, -0.024541229f, - -0.999322385f, -0.036807223f, - -0.998795456f, -0.049067674f, - -0.998118113f, -0.061320736f, - -0.997290457f, -0.073564564f, - -0.996312612f, -0.085797312f, - -0.995184727f, -0.098017140f, - -0.993906970f, -0.110222207f, - -0.992479535f, -0.122410675f, - -0.990902635f, -0.134580709f, - -0.989176510f, -0.146730474f, - -0.987301418f, -0.158858143f, - -0.985277642f, -0.170961889f, - -0.983105487f, -0.183039888f, - -0.980785280f, -0.195090322f, - -0.978317371f, -0.207111376f, - -0.975702130f, -0.219101240f, - -0.972939952f, -0.231058108f, - -0.970031253f, -0.242980180f, - -0.966976471f, -0.254865660f, - -0.963776066f, -0.266712757f, - -0.960430519f, -0.278519689f, - -0.956940336f, -0.290284677f, - -0.953306040f, -0.302005949f, - -0.949528181f, -0.313681740f, - -0.945607325f, -0.325310292f, - -0.941544065f, -0.336889853f, - -0.937339012f, -0.348418680f, - -0.932992799f, -0.359895037f, - -0.928506080f, -0.371317194f, - -0.923879533f, -0.382683432f, - -0.919113852f, -0.393992040f, - -0.914209756f, -0.405241314f, - -0.909167983f, -0.416429560f, - -0.903989293f, -0.427555093f, - -0.898674466f, -0.438616239f, - -0.893224301f, -0.449611330f, - -0.887639620f, -0.460538711f, - -0.881921264f, -0.471396737f, - -0.876070094f, -0.482183772f, - -0.870086991f, -0.492898192f, - -0.863972856f, -0.503538384f, - -0.857728610f, -0.514102744f, - -0.851355193f, -0.524589683f, - -0.844853565f, -0.534997620f, - -0.838224706f, -0.545324988f, - -0.831469612f, -0.555570233f, - -0.824589303f, -0.565731811f, - -0.817584813f, -0.575808191f, - -0.810457198f, -0.585797857f, - -0.803207531f, -0.595699304f, - -0.795836905f, -0.605511041f, - -0.788346428f, -0.615231591f, - -0.780737229f, -0.624859488f, - -0.773010453f, -0.634393284f, - -0.765167266f, -0.643831543f, - -0.757208847f, -0.653172843f, - -0.749136395f, -0.662415778f, - -0.740951125f, -0.671558955f, - -0.732654272f, -0.680600998f, - -0.724247083f, -0.689540545f, - -0.715730825f, -0.698376249f, - -0.707106781f, -0.707106781f, - -0.698376249f, -0.715730825f, - -0.689540545f, -0.724247083f, - -0.680600998f, -0.732654272f, - -0.671558955f, -0.740951125f, - -0.662415778f, -0.749136395f, - -0.653172843f, -0.757208847f, - -0.643831543f, -0.765167266f, - -0.634393284f, -0.773010453f, - -0.624859488f, -0.780737229f, - -0.615231591f, -0.788346428f, - -0.605511041f, -0.795836905f, - -0.595699304f, -0.803207531f, - -0.585797857f, -0.810457198f, - -0.575808191f, -0.817584813f, - -0.565731811f, -0.824589303f, - -0.555570233f, -0.831469612f, - -0.545324988f, -0.838224706f, - -0.534997620f, -0.844853565f, - -0.524589683f, -0.851355193f, - -0.514102744f, -0.857728610f, - -0.503538384f, -0.863972856f, - -0.492898192f, -0.870086991f, - -0.482183772f, -0.876070094f, - -0.471396737f, -0.881921264f, - -0.460538711f, -0.887639620f, - -0.449611330f, -0.893224301f, - -0.438616239f, -0.898674466f, - -0.427555093f, -0.903989293f, - -0.416429560f, -0.909167983f, - -0.405241314f, -0.914209756f, - -0.393992040f, -0.919113852f, - -0.382683432f, -0.923879533f, - -0.371317194f, -0.928506080f, - -0.359895037f, -0.932992799f, - -0.348418680f, -0.937339012f, - -0.336889853f, -0.941544065f, - -0.325310292f, -0.945607325f, - -0.313681740f, -0.949528181f, - -0.302005949f, -0.953306040f, - -0.290284677f, -0.956940336f, - -0.278519689f, -0.960430519f, - -0.266712757f, -0.963776066f, - -0.254865660f, -0.966976471f, - -0.242980180f, -0.970031253f, - -0.231058108f, -0.972939952f, - -0.219101240f, -0.975702130f, - -0.207111376f, -0.978317371f, - -0.195090322f, -0.980785280f, - -0.183039888f, -0.983105487f, - -0.170961889f, -0.985277642f, - -0.158858143f, -0.987301418f, - -0.146730474f, -0.989176510f, - -0.134580709f, -0.990902635f, - -0.122410675f, -0.992479535f, - -0.110222207f, -0.993906970f, - -0.098017140f, -0.995184727f, - -0.085797312f, -0.996312612f, - -0.073564564f, -0.997290457f, - -0.061320736f, -0.998118113f, - -0.049067674f, -0.998795456f, - -0.036807223f, -0.999322385f, - -0.024541229f, -0.999698819f, - -0.012271538f, -0.999924702f, - -0.000000000f, -1.000000000f, - 0.012271538f, -0.999924702f, - 0.024541229f, -0.999698819f, - 0.036807223f, -0.999322385f, - 0.049067674f, -0.998795456f, - 0.061320736f, -0.998118113f, - 0.073564564f, -0.997290457f, - 0.085797312f, -0.996312612f, - 0.098017140f, -0.995184727f, - 0.110222207f, -0.993906970f, - 0.122410675f, -0.992479535f, - 0.134580709f, -0.990902635f, - 0.146730474f, -0.989176510f, - 0.158858143f, -0.987301418f, - 0.170961889f, -0.985277642f, - 0.183039888f, -0.983105487f, - 0.195090322f, -0.980785280f, - 0.207111376f, -0.978317371f, - 0.219101240f, -0.975702130f, - 0.231058108f, -0.972939952f, - 0.242980180f, -0.970031253f, - 0.254865660f, -0.966976471f, - 0.266712757f, -0.963776066f, - 0.278519689f, -0.960430519f, - 0.290284677f, -0.956940336f, - 0.302005949f, -0.953306040f, - 0.313681740f, -0.949528181f, - 0.325310292f, -0.945607325f, - 0.336889853f, -0.941544065f, - 0.348418680f, -0.937339012f, - 0.359895037f, -0.932992799f, - 0.371317194f, -0.928506080f, - 0.382683432f, -0.923879533f, - 0.393992040f, -0.919113852f, - 0.405241314f, -0.914209756f, - 0.416429560f, -0.909167983f, - 0.427555093f, -0.903989293f, - 0.438616239f, -0.898674466f, - 0.449611330f, -0.893224301f, - 0.460538711f, -0.887639620f, - 0.471396737f, -0.881921264f, - 0.482183772f, -0.876070094f, - 0.492898192f, -0.870086991f, - 0.503538384f, -0.863972856f, - 0.514102744f, -0.857728610f, - 0.524589683f, -0.851355193f, - 0.534997620f, -0.844853565f, - 0.545324988f, -0.838224706f, - 0.555570233f, -0.831469612f, - 0.565731811f, -0.824589303f, - 0.575808191f, -0.817584813f, - 0.585797857f, -0.810457198f, - 0.595699304f, -0.803207531f, - 0.605511041f, -0.795836905f, - 0.615231591f, -0.788346428f, - 0.624859488f, -0.780737229f, - 0.634393284f, -0.773010453f, - 0.643831543f, -0.765167266f, - 0.653172843f, -0.757208847f, - 0.662415778f, -0.749136395f, - 0.671558955f, -0.740951125f, - 0.680600998f, -0.732654272f, - 0.689540545f, -0.724247083f, - 0.698376249f, -0.715730825f, - 0.707106781f, -0.707106781f, - 0.715730825f, -0.698376249f, - 0.724247083f, -0.689540545f, - 0.732654272f, -0.680600998f, - 0.740951125f, -0.671558955f, - 0.749136395f, -0.662415778f, - 0.757208847f, -0.653172843f, - 0.765167266f, -0.643831543f, - 0.773010453f, -0.634393284f, - 0.780737229f, -0.624859488f, - 0.788346428f, -0.615231591f, - 0.795836905f, -0.605511041f, - 0.803207531f, -0.595699304f, - 0.810457198f, -0.585797857f, - 0.817584813f, -0.575808191f, - 0.824589303f, -0.565731811f, - 0.831469612f, -0.555570233f, - 0.838224706f, -0.545324988f, - 0.844853565f, -0.534997620f, - 0.851355193f, -0.524589683f, - 0.857728610f, -0.514102744f, - 0.863972856f, -0.503538384f, - 0.870086991f, -0.492898192f, - 0.876070094f, -0.482183772f, - 0.881921264f, -0.471396737f, - 0.887639620f, -0.460538711f, - 0.893224301f, -0.449611330f, - 0.898674466f, -0.438616239f, - 0.903989293f, -0.427555093f, - 0.909167983f, -0.416429560f, - 0.914209756f, -0.405241314f, - 0.919113852f, -0.393992040f, - 0.923879533f, -0.382683432f, - 0.928506080f, -0.371317194f, - 0.932992799f, -0.359895037f, - 0.937339012f, -0.348418680f, - 0.941544065f, -0.336889853f, - 0.945607325f, -0.325310292f, - 0.949528181f, -0.313681740f, - 0.953306040f, -0.302005949f, - 0.956940336f, -0.290284677f, - 0.960430519f, -0.278519689f, - 0.963776066f, -0.266712757f, - 0.966976471f, -0.254865660f, - 0.970031253f, -0.242980180f, - 0.972939952f, -0.231058108f, - 0.975702130f, -0.219101240f, - 0.978317371f, -0.207111376f, - 0.980785280f, -0.195090322f, - 0.983105487f, -0.183039888f, - 0.985277642f, -0.170961889f, - 0.987301418f, -0.158858143f, - 0.989176510f, -0.146730474f, - 0.990902635f, -0.134580709f, - 0.992479535f, -0.122410675f, - 0.993906970f, -0.110222207f, - 0.995184727f, -0.098017140f, - 0.996312612f, -0.085797312f, - 0.997290457f, -0.073564564f, - 0.998118113f, -0.061320736f, - 0.998795456f, -0.049067674f, - 0.999322385f, -0.036807223f, - 0.999698819f, -0.024541229f, - 0.999924702f, -0.012271538f -}; -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* 
for(i = 0; i< N/; i++)    
-* {    
-*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 1024 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_1024[2048] = { -1.000000000f , 0.000000000f , -0.999981175f , 0.006135885f , -0.999924702f , 0.012271538f , -0.999830582f , 0.018406730f , -0.999698819f , 0.024541229f , -0.999529418f , 0.030674803f , -0.999322385f , 0.036807223f , -0.999077728f , 0.042938257f , -0.998795456f , 0.049067674f , -0.998475581f , 0.055195244f , -0.998118113f , 0.061320736f , -0.997723067f , 0.067443920f , -0.997290457f , 0.073564564f , -0.996820299f , 0.079682438f , -0.996312612f , 0.085797312f , -0.995767414f , 0.091908956f , -0.995184727f , 0.098017140f , -0.994564571f , 0.104121634f , -0.993906970f , 0.110222207f , -0.993211949f , 0.116318631f , -0.992479535f , 0.122410675f , -0.991709754f , 0.128498111f , -0.990902635f , 0.134580709f , -0.990058210f , 0.140658239f , -0.989176510f , 0.146730474f , -0.988257568f , 0.152797185f , -0.987301418f , 0.158858143f , -0.986308097f , 0.164913120f , -0.985277642f , 0.170961889f , -0.984210092f , 0.177004220f , -0.983105487f , 0.183039888f , -0.981963869f , 0.189068664f , -0.980785280f , 0.195090322f , -0.979569766f , 0.201104635f , -0.978317371f , 0.207111376f , -0.977028143f , 0.213110320f , -0.975702130f , 0.219101240f , -0.974339383f , 0.225083911f , -0.972939952f , 0.231058108f , -0.971503891f , 0.237023606f , -0.970031253f , 0.242980180f , -0.968522094f , 0.248927606f , -0.966976471f , 0.254865660f , -0.965394442f , 0.260794118f , -0.963776066f , 0.266712757f , -0.962121404f , 0.272621355f , -0.960430519f , 0.278519689f , -0.958703475f , 0.284407537f , -0.956940336f , 0.290284677f , -0.955141168f , 0.296150888f , -0.953306040f , 0.302005949f , -0.951435021f , 0.307849640f , -0.949528181f , 0.313681740f , -0.947585591f , 0.319502031f , -0.945607325f , 0.325310292f , -0.943593458f , 0.331106306f , -0.941544065f , 0.336889853f , -0.939459224f , 0.342660717f , -0.937339012f , 0.348418680f , -0.935183510f , 0.354163525f , -0.932992799f , 0.359895037f , -0.930766961f , 0.365612998f , -0.928506080f , 0.371317194f , -0.926210242f , 0.377007410f , -0.923879533f , 0.382683432f , -0.921514039f , 0.388345047f , -0.919113852f , 0.393992040f , -0.916679060f , 0.399624200f , -0.914209756f , 0.405241314f , -0.911706032f , 0.410843171f , -0.909167983f , 0.416429560f , -0.906595705f , 0.422000271f , -0.903989293f , 0.427555093f , -0.901348847f , 0.433093819f , -0.898674466f , 0.438616239f , -0.895966250f , 0.444122145f , -0.893224301f , 0.449611330f , -0.890448723f , 0.455083587f , -0.887639620f , 0.460538711f , -0.884797098f , 0.465976496f , -0.881921264f , 0.471396737f , -0.879012226f , 0.476799230f , -0.876070094f , 0.482183772f , -0.873094978f , 0.487550160f , -0.870086991f , 0.492898192f , -0.867046246f , 0.498227667f , -0.863972856f , 0.503538384f , -0.860866939f , 0.508830143f , -0.857728610f , 0.514102744f , -0.854557988f , 0.519355990f , -0.851355193f , 0.524589683f , -0.848120345f , 0.529803625f , -0.844853565f , 0.534997620f , -0.841554977f , 0.540171473f , -0.838224706f , 0.545324988f , -0.834862875f , 0.550457973f , -0.831469612f , 0.555570233f , -0.828045045f , 0.560661576f , -0.824589303f , 0.565731811f , -0.821102515f , 0.570780746f , -0.817584813f , 0.575808191f , -0.814036330f , 0.580813958f , -0.810457198f , 0.585797857f , -0.806847554f , 0.590759702f , -0.803207531f , 0.595699304f , -0.799537269f , 0.600616479f , -0.795836905f , 0.605511041f , -0.792106577f , 0.610382806f , -0.788346428f , 0.615231591f , -0.784556597f , 0.620057212f , -0.780737229f , 0.624859488f , -0.776888466f , 0.629638239f , -0.773010453f , 0.634393284f , -0.769103338f , 0.639124445f , -0.765167266f , 0.643831543f , -0.761202385f , 0.648514401f , -0.757208847f , 0.653172843f , -0.753186799f , 0.657806693f , -0.749136395f , 0.662415778f , -0.745057785f , 0.666999922f , -0.740951125f , 0.671558955f , -0.736816569f , 0.676092704f , -0.732654272f , 0.680600998f , -0.728464390f , 0.685083668f , -0.724247083f , 0.689540545f , -0.720002508f , 0.693971461f , -0.715730825f , 0.698376249f , -0.711432196f , 0.702754744f , -0.707106781f , 0.707106781f , -0.702754744f , 0.711432196f , -0.698376249f , 0.715730825f , -0.693971461f , 0.720002508f , -0.689540545f , 0.724247083f , -0.685083668f , 0.728464390f , -0.680600998f , 0.732654272f , -0.676092704f , 0.736816569f , -0.671558955f , 0.740951125f , -0.666999922f , 0.745057785f , -0.662415778f , 0.749136395f , -0.657806693f , 0.753186799f , -0.653172843f , 0.757208847f , -0.648514401f , 0.761202385f , -0.643831543f , 0.765167266f , -0.639124445f , 0.769103338f , -0.634393284f , 0.773010453f , -0.629638239f , 0.776888466f , -0.624859488f , 0.780737229f , -0.620057212f , 0.784556597f , -0.615231591f , 0.788346428f , -0.610382806f , 0.792106577f , -0.605511041f , 0.795836905f , -0.600616479f , 0.799537269f , -0.595699304f , 0.803207531f , -0.590759702f , 0.806847554f , -0.585797857f , 0.810457198f , -0.580813958f , 0.814036330f , -0.575808191f , 0.817584813f , -0.570780746f , 0.821102515f , -0.565731811f , 0.824589303f , -0.560661576f , 0.828045045f , -0.555570233f , 0.831469612f , -0.550457973f , 0.834862875f , -0.545324988f , 0.838224706f , -0.540171473f , 0.841554977f , -0.534997620f , 0.844853565f , -0.529803625f , 0.848120345f , -0.524589683f , 0.851355193f , -0.519355990f , 0.854557988f , -0.514102744f , 0.857728610f , -0.508830143f , 0.860866939f , -0.503538384f , 0.863972856f , -0.498227667f , 0.867046246f , -0.492898192f , 0.870086991f , -0.487550160f , 0.873094978f , -0.482183772f , 0.876070094f , -0.476799230f , 0.879012226f , -0.471396737f , 0.881921264f , -0.465976496f , 0.884797098f , -0.460538711f , 0.887639620f , -0.455083587f , 0.890448723f , -0.449611330f , 0.893224301f , -0.444122145f , 0.895966250f , -0.438616239f , 0.898674466f , -0.433093819f , 0.901348847f , -0.427555093f , 0.903989293f , -0.422000271f , 0.906595705f , -0.416429560f , 0.909167983f , -0.410843171f , 0.911706032f , -0.405241314f , 0.914209756f , -0.399624200f , 0.916679060f , -0.393992040f , 0.919113852f , -0.388345047f , 0.921514039f , -0.382683432f , 0.923879533f , -0.377007410f , 0.926210242f , -0.371317194f , 0.928506080f , -0.365612998f , 0.930766961f , -0.359895037f , 0.932992799f , -0.354163525f , 0.935183510f , -0.348418680f , 0.937339012f , -0.342660717f , 0.939459224f , -0.336889853f , 0.941544065f , -0.331106306f , 0.943593458f , -0.325310292f , 0.945607325f , -0.319502031f , 0.947585591f , -0.313681740f , 0.949528181f , -0.307849640f , 0.951435021f , -0.302005949f , 0.953306040f , -0.296150888f , 0.955141168f , -0.290284677f , 0.956940336f , -0.284407537f , 0.958703475f , -0.278519689f , 0.960430519f , -0.272621355f , 0.962121404f , -0.266712757f , 0.963776066f , -0.260794118f , 0.965394442f , -0.254865660f , 0.966976471f , -0.248927606f , 0.968522094f , -0.242980180f , 0.970031253f , -0.237023606f , 0.971503891f , -0.231058108f , 0.972939952f , -0.225083911f , 0.974339383f , -0.219101240f , 0.975702130f , -0.213110320f , 0.977028143f , -0.207111376f , 0.978317371f , -0.201104635f , 0.979569766f , -0.195090322f , 0.980785280f , -0.189068664f , 0.981963869f , -0.183039888f , 0.983105487f , -0.177004220f , 0.984210092f , -0.170961889f , 0.985277642f , -0.164913120f , 0.986308097f , -0.158858143f , 0.987301418f , -0.152797185f , 0.988257568f , -0.146730474f , 0.989176510f , -0.140658239f , 0.990058210f , -0.134580709f , 0.990902635f , -0.128498111f , 0.991709754f , -0.122410675f , 0.992479535f , -0.116318631f , 0.993211949f , -0.110222207f , 0.993906970f , -0.104121634f , 0.994564571f , -0.098017140f , 0.995184727f , -0.091908956f , 0.995767414f , -0.085797312f , 0.996312612f , -0.079682438f , 0.996820299f , -0.073564564f , 0.997290457f , -0.067443920f , 0.997723067f , -0.061320736f , 0.998118113f , -0.055195244f , 0.998475581f , -0.049067674f , 0.998795456f , -0.042938257f , 0.999077728f , -0.036807223f , 0.999322385f , -0.030674803f , 0.999529418f , -0.024541229f , 0.999698819f , -0.018406730f , 0.999830582f , -0.012271538f , 0.999924702f , -0.006135885f , 0.999981175f , -0.000000000f , 1.000000000f , --0.006135885f , 0.999981175f , --0.012271538f , 0.999924702f , --0.018406730f , 0.999830582f , --0.024541229f , 0.999698819f , --0.030674803f , 0.999529418f , --0.036807223f , 0.999322385f , --0.042938257f , 0.999077728f , --0.049067674f , 0.998795456f , --0.055195244f , 0.998475581f , --0.061320736f , 0.998118113f , --0.067443920f , 0.997723067f , --0.073564564f , 0.997290457f , --0.079682438f , 0.996820299f , --0.085797312f , 0.996312612f , --0.091908956f , 0.995767414f , --0.098017140f , 0.995184727f , --0.104121634f , 0.994564571f , --0.110222207f , 0.993906970f , --0.116318631f , 0.993211949f , --0.122410675f , 0.992479535f , --0.128498111f , 0.991709754f , --0.134580709f , 0.990902635f , --0.140658239f , 0.990058210f , --0.146730474f , 0.989176510f , --0.152797185f , 0.988257568f , --0.158858143f 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--0.170961889f , -0.985277642f , --0.164913120f , -0.986308097f , --0.158858143f , -0.987301418f , --0.152797185f , -0.988257568f , --0.146730474f , -0.989176510f , --0.140658239f , -0.990058210f , --0.134580709f , -0.990902635f , --0.128498111f , -0.991709754f , --0.122410675f , -0.992479535f , --0.116318631f , -0.993211949f , --0.110222207f , -0.993906970f , --0.104121634f , -0.994564571f , --0.098017140f , -0.995184727f , --0.091908956f , -0.995767414f , --0.085797312f , -0.996312612f , --0.079682438f , -0.996820299f , --0.073564564f , -0.997290457f , --0.067443920f , -0.997723067f , --0.061320736f , -0.998118113f , --0.055195244f , -0.998475581f , --0.049067674f , -0.998795456f , --0.042938257f , -0.999077728f , --0.036807223f , -0.999322385f , --0.030674803f , -0.999529418f , --0.024541229f , -0.999698819f , --0.018406730f , -0.999830582f , --0.012271538f , -0.999924702f , --0.006135885f , -0.999981175f , --0.000000000f , -1.000000000f , -0.006135885f , -0.999981175f , -0.012271538f , -0.999924702f , -0.018406730f , -0.999830582f , -0.024541229f , -0.999698819f , -0.030674803f , -0.999529418f , -0.036807223f , -0.999322385f , -0.042938257f , -0.999077728f , -0.049067674f , -0.998795456f , -0.055195244f , -0.998475581f , -0.061320736f , -0.998118113f , -0.067443920f , -0.997723067f , -0.073564564f , -0.997290457f , -0.079682438f , -0.996820299f , -0.085797312f , -0.996312612f , -0.091908956f , -0.995767414f , -0.098017140f , -0.995184727f , -0.104121634f , -0.994564571f , -0.110222207f , -0.993906970f , -0.116318631f , -0.993211949f , -0.122410675f , -0.992479535f , -0.128498111f , -0.991709754f , -0.134580709f , -0.990902635f , -0.140658239f , -0.990058210f , -0.146730474f , -0.989176510f , -0.152797185f , -0.988257568f , -0.158858143f , -0.987301418f , -0.164913120f , -0.986308097f , -0.170961889f , -0.985277642f , -0.177004220f , -0.984210092f , -0.183039888f , -0.983105487f , -0.189068664f , -0.981963869f , -0.195090322f , -0.980785280f , -0.201104635f , -0.979569766f , -0.207111376f , -0.978317371f , -0.213110320f , -0.977028143f , -0.219101240f , -0.975702130f , -0.225083911f , -0.974339383f , -0.231058108f , -0.972939952f , -0.237023606f , -0.971503891f , -0.242980180f , -0.970031253f , -0.248927606f , -0.968522094f , -0.254865660f , -0.966976471f , -0.260794118f , -0.965394442f , -0.266712757f , -0.963776066f , -0.272621355f , -0.962121404f , -0.278519689f , -0.960430519f , -0.284407537f , -0.958703475f , -0.290284677f , -0.956940336f , -0.296150888f , -0.955141168f , -0.302005949f , -0.953306040f , -0.307849640f , -0.951435021f , -0.313681740f , -0.949528181f , -0.319502031f , -0.947585591f , -0.325310292f , -0.945607325f , -0.331106306f , -0.943593458f , -0.336889853f , -0.941544065f , -0.342660717f , -0.939459224f , -0.348418680f , -0.937339012f , -0.354163525f , -0.935183510f , -0.359895037f , -0.932992799f , -0.365612998f , -0.930766961f , -0.371317194f , -0.928506080f , -0.377007410f , -0.926210242f , -0.382683432f , -0.923879533f , -0.388345047f , -0.921514039f , -0.393992040f , -0.919113852f , -0.399624200f , -0.916679060f , -0.405241314f , -0.914209756f , -0.410843171f , -0.911706032f , -0.416429560f , -0.909167983f , -0.422000271f , -0.906595705f , -0.427555093f , -0.903989293f , -0.433093819f , -0.901348847f , -0.438616239f , -0.898674466f , -0.444122145f , -0.895966250f , -0.449611330f , -0.893224301f , -0.455083587f , -0.890448723f , -0.460538711f , -0.887639620f , -0.465976496f , -0.884797098f , -0.471396737f , -0.881921264f , -0.476799230f , -0.879012226f , -0.482183772f , -0.876070094f , -0.487550160f , -0.873094978f , -0.492898192f , -0.870086991f , -0.498227667f , -0.867046246f , -0.503538384f , -0.863972856f , -0.508830143f , -0.860866939f , -0.514102744f , -0.857728610f , -0.519355990f , -0.854557988f , -0.524589683f , -0.851355193f , -0.529803625f , -0.848120345f , -0.534997620f , -0.844853565f , -0.540171473f , -0.841554977f , -0.545324988f , -0.838224706f , -0.550457973f , -0.834862875f , -0.555570233f , -0.831469612f , -0.560661576f , -0.828045045f , -0.565731811f , -0.824589303f , -0.570780746f , -0.821102515f , -0.575808191f , -0.817584813f , -0.580813958f , -0.814036330f , -0.585797857f , -0.810457198f , -0.590759702f , -0.806847554f , -0.595699304f , -0.803207531f , -0.600616479f , -0.799537269f , -0.605511041f , -0.795836905f , -0.610382806f , -0.792106577f , -0.615231591f , -0.788346428f , -0.620057212f , -0.784556597f , -0.624859488f , -0.780737229f , -0.629638239f , -0.776888466f , -0.634393284f , -0.773010453f , -0.639124445f , -0.769103338f , -0.643831543f , -0.765167266f , -0.648514401f , -0.761202385f , -0.653172843f , -0.757208847f , -0.657806693f , -0.753186799f , -0.662415778f , -0.749136395f , -0.666999922f , -0.745057785f , -0.671558955f , -0.740951125f , -0.676092704f , -0.736816569f , -0.680600998f , -0.732654272f , -0.685083668f , -0.728464390f , -0.689540545f , -0.724247083f , -0.693971461f , -0.720002508f , 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-0.821102515f , -0.570780746f , -0.824589303f , -0.565731811f , -0.828045045f , -0.560661576f , -0.831469612f , -0.555570233f , -0.834862875f , -0.550457973f , -0.838224706f , -0.545324988f , -0.841554977f , -0.540171473f , -0.844853565f , -0.534997620f , -0.848120345f , -0.529803625f , -0.851355193f , -0.524589683f , -0.854557988f , -0.519355990f , -0.857728610f , -0.514102744f , -0.860866939f , -0.508830143f , -0.863972856f , -0.503538384f , -0.867046246f , -0.498227667f , -0.870086991f , -0.492898192f , -0.873094978f , -0.487550160f , -0.876070094f , -0.482183772f , -0.879012226f , -0.476799230f , -0.881921264f , -0.471396737f , -0.884797098f , -0.465976496f , -0.887639620f , -0.460538711f , -0.890448723f , -0.455083587f , -0.893224301f , -0.449611330f , -0.895966250f , -0.444122145f , -0.898674466f , -0.438616239f , -0.901348847f , -0.433093819f , -0.903989293f , -0.427555093f , -0.906595705f , -0.422000271f , -0.909167983f , -0.416429560f , -0.911706032f , -0.410843171f , -0.914209756f , -0.405241314f , -0.916679060f , -0.399624200f , -0.919113852f , -0.393992040f , -0.921514039f , -0.388345047f , -0.923879533f , -0.382683432f , -0.926210242f , -0.377007410f , -0.928506080f , -0.371317194f , -0.930766961f , -0.365612998f , -0.932992799f , -0.359895037f , -0.935183510f , -0.354163525f , -0.937339012f , -0.348418680f , -0.939459224f , -0.342660717f , -0.941544065f , -0.336889853f , -0.943593458f , -0.331106306f , -0.945607325f , -0.325310292f , -0.947585591f , -0.319502031f , -0.949528181f , -0.313681740f , -0.951435021f , -0.307849640f , -0.953306040f , -0.302005949f , -0.955141168f , -0.296150888f , -0.956940336f , -0.290284677f , -0.958703475f , -0.284407537f , -0.960430519f , -0.278519689f , -0.962121404f , -0.272621355f , -0.963776066f , -0.266712757f , -0.965394442f , -0.260794118f , -0.966976471f , -0.254865660f , -0.968522094f , -0.248927606f , -0.970031253f , -0.242980180f , -0.971503891f , -0.237023606f , -0.972939952f , -0.231058108f , -0.974339383f , -0.225083911f , -0.975702130f , -0.219101240f , -0.977028143f , -0.213110320f , -0.978317371f , -0.207111376f , -0.979569766f , -0.201104635f , -0.980785280f , -0.195090322f , -0.981963869f , -0.189068664f , -0.983105487f , -0.183039888f , -0.984210092f , -0.177004220f , -0.985277642f , -0.170961889f , -0.986308097f , -0.164913120f , -0.987301418f , -0.158858143f , -0.988257568f , -0.152797185f , -0.989176510f , -0.146730474f , -0.990058210f , -0.140658239f , -0.990902635f , -0.134580709f , -0.991709754f , -0.128498111f , -0.992479535f , -0.122410675f , -0.993211949f , -0.116318631f , -0.993906970f , -0.110222207f , -0.994564571f , -0.104121634f , -0.995184727f , -0.098017140f , -0.995767414f , -0.091908956f , -0.996312612f , -0.085797312f , -0.996820299f , -0.079682438f , -0.997290457f , -0.073564564f , -0.997723067f , -0.067443920f , -0.998118113f , -0.061320736f , -0.998475581f , -0.055195244f , -0.998795456f , -0.049067674f , -0.999077728f , -0.042938257f , -0.999322385f , -0.036807223f , -0.999529418f , -0.030674803f , -0.999698819f , -0.024541229f , -0.999830582f , -0.018406730f , -0.999924702f , -0.012271538f , -0.999981175f , -0.006135885f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* 
for(i = 0; i< N/; i++)    
-* {    
-*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 2048 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_2048[4096] = { - 1.000000000f, 0.000000000f, - 0.999995294f, 0.003067957f, - 0.999981175f, 0.006135885f, - 0.999957645f, 0.009203755f, - 0.999924702f, 0.012271538f, - 0.999882347f, 0.015339206f, - 0.999830582f, 0.018406730f, - 0.999769405f, 0.021474080f, - 0.999698819f, 0.024541229f, - 0.999618822f, 0.027608146f, - 0.999529418f, 0.030674803f, - 0.999430605f, 0.033741172f, - 0.999322385f, 0.036807223f, - 0.999204759f, 0.039872928f, - 0.999077728f, 0.042938257f, - 0.998941293f, 0.046003182f, - 0.998795456f, 0.049067674f, - 0.998640218f, 0.052131705f, - 0.998475581f, 0.055195244f, - 0.998301545f, 0.058258265f, - 0.998118113f, 0.061320736f, - 0.997925286f, 0.064382631f, - 0.997723067f, 0.067443920f, - 0.997511456f, 0.070504573f, - 0.997290457f, 0.073564564f, - 0.997060070f, 0.076623861f, - 0.996820299f, 0.079682438f, - 0.996571146f, 0.082740265f, - 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0.973644250f, -0.228072083f, - 0.974339383f, -0.225083911f, - 0.975025345f, -0.222093621f, - 0.975702130f, -0.219101240f, - 0.976369731f, -0.216106797f, - 0.977028143f, -0.213110320f, - 0.977677358f, -0.210111837f, - 0.978317371f, -0.207111376f, - 0.978948175f, -0.204108966f, - 0.979569766f, -0.201104635f, - 0.980182136f, -0.198098411f, - 0.980785280f, -0.195090322f, - 0.981379193f, -0.192080397f, - 0.981963869f, -0.189068664f, - 0.982539302f, -0.186055152f, - 0.983105487f, -0.183039888f, - 0.983662419f, -0.180022901f, - 0.984210092f, -0.177004220f, - 0.984748502f, -0.173983873f, - 0.985277642f, -0.170961889f, - 0.985797509f, -0.167938295f, - 0.986308097f, -0.164913120f, - 0.986809402f, -0.161886394f, - 0.987301418f, -0.158858143f, - 0.987784142f, -0.155828398f, - 0.988257568f, -0.152797185f, - 0.988721692f, -0.149764535f, - 0.989176510f, -0.146730474f, - 0.989622017f, -0.143695033f, - 0.990058210f, -0.140658239f, - 0.990485084f, -0.137620122f, - 0.990902635f, -0.134580709f, - 0.991310860f, -0.131540029f, - 0.991709754f, -0.128498111f, - 0.992099313f, -0.125454983f, - 0.992479535f, -0.122410675f, - 0.992850414f, -0.119365215f, - 0.993211949f, -0.116318631f, - 0.993564136f, -0.113270952f, - 0.993906970f, -0.110222207f, - 0.994240449f, -0.107172425f, - 0.994564571f, -0.104121634f, - 0.994879331f, -0.101069863f, - 0.995184727f, -0.098017140f, - 0.995480755f, -0.094963495f, - 0.995767414f, -0.091908956f, - 0.996044701f, -0.088853553f, - 0.996312612f, -0.085797312f, - 0.996571146f, -0.082740265f, - 0.996820299f, -0.079682438f, - 0.997060070f, -0.076623861f, - 0.997290457f, -0.073564564f, - 0.997511456f, -0.070504573f, - 0.997723067f, -0.067443920f, - 0.997925286f, -0.064382631f, - 0.998118113f, -0.061320736f, - 0.998301545f, -0.058258265f, - 0.998475581f, -0.055195244f, - 0.998640218f, -0.052131705f, - 0.998795456f, -0.049067674f, - 0.998941293f, -0.046003182f, - 0.999077728f, -0.042938257f, - 0.999204759f, -0.039872928f, - 0.999322385f, -0.036807223f, - 0.999430605f, -0.033741172f, - 0.999529418f, -0.030674803f, - 0.999618822f, -0.027608146f, - 0.999698819f, -0.024541229f, - 0.999769405f, -0.021474080f, - 0.999830582f, -0.018406730f, - 0.999882347f, -0.015339206f, - 0.999924702f, -0.012271538f, - 0.999957645f, -0.009203755f, - 0.999981175f, -0.006135885f, - 0.999995294f, -0.003067957f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* 
for(i = 0; i< N/; i++)    
-* {    
-*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_4096[8192] = { - 1.000000000f, 0.000000000f, - 0.999998823f, 0.001533980f, - 0.999995294f, 0.003067957f, - 0.999989411f, 0.004601926f, - 0.999981175f, 0.006135885f, - 0.999970586f, 0.007669829f, - 0.999957645f, 0.009203755f, - 0.999942350f, 0.010737659f, - 0.999924702f, 0.012271538f, - 0.999904701f, 0.013805389f, - 0.999882347f, 0.015339206f, - 0.999857641f, 0.016872988f, - 0.999830582f, 0.018406730f, - 0.999801170f, 0.019940429f, - 0.999769405f, 0.021474080f, - 0.999735288f, 0.023007681f, - 0.999698819f, 0.024541229f, - 0.999659997f, 0.026074718f, - 0.999618822f, 0.027608146f, - 0.999575296f, 0.029141509f, - 0.999529418f, 0.030674803f, - 0.999481187f, 0.032208025f, - 0.999430605f, 0.033741172f, - 0.999377670f, 0.035274239f, - 0.999322385f, 0.036807223f, - 0.999264747f, 0.038340120f, - 0.999204759f, 0.039872928f, - 0.999142419f, 0.041405641f, - 0.999077728f, 0.042938257f, - 0.999010686f, 0.044470772f, - 0.998941293f, 0.046003182f, - 0.998869550f, 0.047535484f, - 0.998795456f, 0.049067674f, - 0.998719012f, 0.050599749f, - 0.998640218f, 0.052131705f, - 0.998559074f, 0.053663538f, - 0.998475581f, 0.055195244f, - 0.998389737f, 0.056726821f, - 0.998301545f, 0.058258265f, - 0.998211003f, 0.059789571f, - 0.998118113f, 0.061320736f, - 0.998022874f, 0.062851758f, - 0.997925286f, 0.064382631f, - 0.997825350f, 0.065913353f, - 0.997723067f, 0.067443920f, - 0.997618435f, 0.068974328f, - 0.997511456f, 0.070504573f, - 0.997402130f, 0.072034653f, - 0.997290457f, 0.073564564f, - 0.997176437f, 0.075094301f, - 0.997060070f, 0.076623861f, - 0.996941358f, 0.078153242f, - 0.996820299f, 0.079682438f, - 0.996696895f, 0.081211447f, - 0.996571146f, 0.082740265f, - 0.996443051f, 0.084268888f, - 0.996312612f, 0.085797312f, - 0.996179829f, 0.087325535f, - 0.996044701f, 0.088853553f, - 0.995907229f, 0.090381361f, - 0.995767414f, 0.091908956f, - 0.995625256f, 0.093436336f, - 0.995480755f, 0.094963495f, - 0.995333912f, 0.096490431f, - 0.995184727f, 0.098017140f, - 0.995033199f, 0.099543619f, - 0.994879331f, 0.101069863f, - 0.994723121f, 0.102595869f, - 0.994564571f, 0.104121634f, - 0.994403680f, 0.105647154f, - 0.994240449f, 0.107172425f, - 0.994074879f, 0.108697444f, - 0.993906970f, 0.110222207f, - 0.993736722f, 0.111746711f, - 0.993564136f, 0.113270952f, - 0.993389211f, 0.114794927f, - 0.993211949f, 0.116318631f, - 0.993032350f, 0.117842062f, - 0.992850414f, 0.119365215f, - 0.992666142f, 0.120888087f, - 0.992479535f, 0.122410675f, - 0.992290591f, 0.123932975f, - 0.992099313f, 0.125454983f, - 0.991905700f, 0.126976696f, - 0.991709754f, 0.128498111f, - 0.991511473f, 0.130019223f, - 0.991310860f, 0.131540029f, - 0.991107914f, 0.133060525f, - 0.990902635f, 0.134580709f, - 0.990695025f, 0.136100575f, - 0.990485084f, 0.137620122f, - 0.990272812f, 0.139139344f, - 0.990058210f, 0.140658239f, - 0.989841278f, 0.142176804f, - 0.989622017f, 0.143695033f, - 0.989400428f, 0.145212925f, - 0.989176510f, 0.146730474f, - 0.988950265f, 0.148247679f, - 0.988721692f, 0.149764535f, - 0.988490793f, 0.151281038f, - 0.988257568f, 0.152797185f, - 0.988022017f, 0.154312973f, - 0.987784142f, 0.155828398f, - 0.987543942f, 0.157343456f, - 0.987301418f, 0.158858143f, - 0.987056571f, 0.160372457f, - 0.986809402f, 0.161886394f, - 0.986559910f, 0.163399949f, - 0.986308097f, 0.164913120f, - 0.986053963f, 0.166425904f, - 0.985797509f, 0.167938295f, - 0.985538735f, 0.169450291f, - 0.985277642f, 0.170961889f, - 0.985014231f, 0.172473084f, - 0.984748502f, 0.173983873f, - 0.984480455f, 0.175494253f, - 0.984210092f, 0.177004220f, - 0.983937413f, 0.178513771f, - 0.983662419f, 0.180022901f, - 0.983385110f, 0.181531608f, - 0.983105487f, 0.183039888f, - 0.982823551f, 0.184547737f, - 0.982539302f, 0.186055152f, - 0.982252741f, 0.187562129f, - 0.981963869f, 0.189068664f, - 0.981672686f, 0.190574755f, - 0.981379193f, 0.192080397f, - 0.981083391f, 0.193585587f, - 0.980785280f, 0.195090322f, - 0.980484862f, 0.196594598f, - 0.980182136f, 0.198098411f, - 0.979877104f, 0.199601758f, - 0.979569766f, 0.201104635f, - 0.979260123f, 0.202607039f, - 0.978948175f, 0.204108966f, - 0.978633924f, 0.205610413f, - 0.978317371f, 0.207111376f, - 0.977998515f, 0.208611852f, - 0.977677358f, 0.210111837f, - 0.977353900f, 0.211611327f, - 0.977028143f, 0.213110320f, - 0.976700086f, 0.214608811f, - 0.976369731f, 0.216106797f, - 0.976037079f, 0.217604275f, - 0.975702130f, 0.219101240f, - 0.975364885f, 0.220597690f, - 0.975025345f, 0.222093621f, - 0.974683511f, 0.223589029f, - 0.974339383f, 0.225083911f, - 0.973992962f, 0.226578264f, - 0.973644250f, 0.228072083f, - 0.973293246f, 0.229565366f, - 0.972939952f, 0.231058108f, - 0.972584369f, 0.232550307f, - 0.972226497f, 0.234041959f, - 0.971866337f, 0.235533059f, - 0.971503891f, 0.237023606f, - 0.971139158f, 0.238513595f, - 0.970772141f, 0.240003022f, - 0.970402839f, 0.241491885f, - 0.970031253f, 0.242980180f, - 0.969657385f, 0.244467903f, - 0.969281235f, 0.245955050f, - 0.968902805f, 0.247441619f, - 0.968522094f, 0.248927606f, - 0.968139105f, 0.250413007f, - 0.967753837f, 0.251897818f, - 0.967366292f, 0.253382037f, - 0.966976471f, 0.254865660f, - 0.966584374f, 0.256348682f, - 0.966190003f, 0.257831102f, - 0.965793359f, 0.259312915f, - 0.965394442f, 0.260794118f, - 0.964993253f, 0.262274707f, - 0.964589793f, 0.263754679f, - 0.964184064f, 0.265234030f, - 0.963776066f, 0.266712757f, - 0.963365800f, 0.268190857f, - 0.962953267f, 0.269668326f, - 0.962538468f, 0.271145160f, - 0.962121404f, 0.272621355f, - 0.961702077f, 0.274096910f, - 0.961280486f, 0.275571819f, - 0.960856633f, 0.277046080f, - 0.960430519f, 0.278519689f, - 0.960002146f, 0.279992643f, - 0.959571513f, 0.281464938f, - 0.959138622f, 0.282936570f, - 0.958703475f, 0.284407537f, - 0.958266071f, 0.285877835f, - 0.957826413f, 0.287347460f, - 0.957384501f, 0.288816408f, - 0.956940336f, 0.290284677f, - 0.956493919f, 0.291752263f, - 0.956045251f, 0.293219163f, - 0.955594334f, 0.294685372f, - 0.955141168f, 0.296150888f, - 0.954685755f, 0.297615707f, - 0.954228095f, 0.299079826f, - 0.953768190f, 0.300543241f, - 0.953306040f, 0.302005949f, - 0.952841648f, 0.303467947f, - 0.952375013f, 0.304929230f, - 0.951906137f, 0.306389795f, - 0.951435021f, 0.307849640f, - 0.950961666f, 0.309308760f, - 0.950486074f, 0.310767153f, - 0.950008245f, 0.312224814f, - 0.949528181f, 0.313681740f, - 0.949045882f, 0.315137929f, - 0.948561350f, 0.316593376f, - 0.948074586f, 0.318048077f, - 0.947585591f, 0.319502031f, - 0.947094366f, 0.320955232f, - 0.946600913f, 0.322407679f, - 0.946105232f, 0.323859367f, - 0.945607325f, 0.325310292f, - 0.945107193f, 0.326760452f, - 0.944604837f, 0.328209844f, - 0.944100258f, 0.329658463f, - 0.943593458f, 0.331106306f, - 0.943084437f, 0.332553370f, - 0.942573198f, 0.333999651f, - 0.942059740f, 0.335445147f, - 0.941544065f, 0.336889853f, - 0.941026175f, 0.338333767f, - 0.940506071f, 0.339776884f, - 0.939983753f, 0.341219202f, - 0.939459224f, 0.342660717f, - 0.938932484f, 0.344101426f, - 0.938403534f, 0.345541325f, - 0.937872376f, 0.346980411f, - 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0.985277642f, -0.170961889f, - 0.985538735f, -0.169450291f, - 0.985797509f, -0.167938295f, - 0.986053963f, -0.166425904f, - 0.986308097f, -0.164913120f, - 0.986559910f, -0.163399949f, - 0.986809402f, -0.161886394f, - 0.987056571f, -0.160372457f, - 0.987301418f, -0.158858143f, - 0.987543942f, -0.157343456f, - 0.987784142f, -0.155828398f, - 0.988022017f, -0.154312973f, - 0.988257568f, -0.152797185f, - 0.988490793f, -0.151281038f, - 0.988721692f, -0.149764535f, - 0.988950265f, -0.148247679f, - 0.989176510f, -0.146730474f, - 0.989400428f, -0.145212925f, - 0.989622017f, -0.143695033f, - 0.989841278f, -0.142176804f, - 0.990058210f, -0.140658239f, - 0.990272812f, -0.139139344f, - 0.990485084f, -0.137620122f, - 0.990695025f, -0.136100575f, - 0.990902635f, -0.134580709f, - 0.991107914f, -0.133060525f, - 0.991310860f, -0.131540029f, - 0.991511473f, -0.130019223f, - 0.991709754f, -0.128498111f, - 0.991905700f, -0.126976696f, - 0.992099313f, -0.125454983f, - 0.992290591f, -0.123932975f, - 0.992479535f, -0.122410675f, - 0.992666142f, -0.120888087f, - 0.992850414f, -0.119365215f, - 0.993032350f, -0.117842062f, - 0.993211949f, -0.116318631f, - 0.993389211f, -0.114794927f, - 0.993564136f, -0.113270952f, - 0.993736722f, -0.111746711f, - 0.993906970f, -0.110222207f, - 0.994074879f, -0.108697444f, - 0.994240449f, -0.107172425f, - 0.994403680f, -0.105647154f, - 0.994564571f, -0.104121634f, - 0.994723121f, -0.102595869f, - 0.994879331f, -0.101069863f, - 0.995033199f, -0.099543619f, - 0.995184727f, -0.098017140f, - 0.995333912f, -0.096490431f, - 0.995480755f, -0.094963495f, - 0.995625256f, -0.093436336f, - 0.995767414f, -0.091908956f, - 0.995907229f, -0.090381361f, - 0.996044701f, -0.088853553f, - 0.996179829f, -0.087325535f, - 0.996312612f, -0.085797312f, - 0.996443051f, -0.084268888f, - 0.996571146f, -0.082740265f, - 0.996696895f, -0.081211447f, - 0.996820299f, -0.079682438f, - 0.996941358f, -0.078153242f, - 0.997060070f, -0.076623861f, - 0.997176437f, -0.075094301f, - 0.997290457f, -0.073564564f, - 0.997402130f, -0.072034653f, - 0.997511456f, -0.070504573f, - 0.997618435f, -0.068974328f, - 0.997723067f, -0.067443920f, - 0.997825350f, -0.065913353f, - 0.997925286f, -0.064382631f, - 0.998022874f, -0.062851758f, - 0.998118113f, -0.061320736f, - 0.998211003f, -0.059789571f, - 0.998301545f, -0.058258265f, - 0.998389737f, -0.056726821f, - 0.998475581f, -0.055195244f, - 0.998559074f, -0.053663538f, - 0.998640218f, -0.052131705f, - 0.998719012f, -0.050599749f, - 0.998795456f, -0.049067674f, - 0.998869550f, -0.047535484f, - 0.998941293f, -0.046003182f, - 0.999010686f, -0.044470772f, - 0.999077728f, -0.042938257f, - 0.999142419f, -0.041405641f, - 0.999204759f, -0.039872928f, - 0.999264747f, -0.038340120f, - 0.999322385f, -0.036807223f, - 0.999377670f, -0.035274239f, - 0.999430605f, -0.033741172f, - 0.999481187f, -0.032208025f, - 0.999529418f, -0.030674803f, - 0.999575296f, -0.029141509f, - 0.999618822f, -0.027608146f, - 0.999659997f, -0.026074718f, - 0.999698819f, -0.024541229f, - 0.999735288f, -0.023007681f, - 0.999769405f, -0.021474080f, - 0.999801170f, -0.019940429f, - 0.999830582f, -0.018406730f, - 0.999857641f, -0.016872988f, - 0.999882347f, -0.015339206f, - 0.999904701f, -0.013805389f, - 0.999924702f, -0.012271538f, - 0.999942350f, -0.010737659f, - 0.999957645f, -0.009203755f, - 0.999970586f, -0.007669829f, - 0.999981175f, -0.006135885f, - 0.999989411f, -0.004601926f, - 0.999995294f, -0.003067957f, - 0.999998823f, -0.001533980f -}; - -/* -* @brief Q31 Twiddle factors Table -*/ - - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 16 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ -const q31_t twiddleCoef_16_q31[24] = { - 0x7FFFFFFF, 0x00000000, - 0x7641AF3C, 0x30FBC54D, - 0x5A82799A, 0x5A82799A, - 0x30FBC54D, 0x7641AF3C, - 0x00000000, 0x7FFFFFFF, - 0xCF043AB2, 0x7641AF3C, - 0xA57D8666, 0x5A82799A, - 0x89BE50C3, 0x30FBC54D, - 0x80000000, 0x00000000, - 0x89BE50C3, 0xCF043AB2, - 0xA57D8666, 0xA57D8666, - 0xCF043AB2, 0x89BE50C3 -}; - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 32 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ -const q31_t twiddleCoef_32_q31[48] = { - 0x7FFFFFFF, 0x00000000, - 0x7D8A5F3F, 0x18F8B83C, - 0x7641AF3C, 0x30FBC54D, - 0x6A6D98A4, 0x471CECE6, - 0x5A82799A, 0x5A82799A, - 0x471CECE6, 0x6A6D98A4, - 0x30FBC54D, 0x7641AF3C, - 0x18F8B83C, 0x7D8A5F3F, - 0x00000000, 0x7FFFFFFF, - 0xE70747C3, 0x7D8A5F3F, - 0xCF043AB2, 0x7641AF3C, - 0xB8E31319, 0x6A6D98A4, - 0xA57D8666, 0x5A82799A, - 0x9592675B, 0x471CECE6, - 0x89BE50C3, 0x30FBC54D, - 0x8275A0C0, 0x18F8B83C, - 0x80000000, 0x00000000, - 0x8275A0C0, 0xE70747C3, - 0x89BE50C3, 0xCF043AB2, - 0x9592675B, 0xB8E31319, - 0xA57D8666, 0xA57D8666, - 0xB8E31319, 0x9592675B, - 0xCF043AB2, 0x89BE50C3, - 0xE70747C3, 0x8275A0C0 -}; - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 64 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ -const q31_t twiddleCoef_64_q31[96] = { - 0x7FFFFFFF, 0x00000000, - 0x7F62368F, 0x0C8BD35E, - 0x7D8A5F3F, 0x18F8B83C, - 0x7A7D055B, 0x25280C5D, - 0x7641AF3C, 0x30FBC54D, - 0x70E2CBC6, 0x3C56BA70, - 0x6A6D98A4, 0x471CECE6, - 0x62F201AC, 0x5133CC94, - 0x5A82799A, 0x5A82799A, - 0x5133CC94, 0x62F201AC, - 0x471CECE6, 0x6A6D98A4, - 0x3C56BA70, 0x70E2CBC6, - 0x30FBC54D, 0x7641AF3C, - 0x25280C5D, 0x7A7D055B, - 0x18F8B83C, 0x7D8A5F3F, - 0x0C8BD35E, 0x7F62368F, - 0x00000000, 0x7FFFFFFF, - 0xF3742CA1, 0x7F62368F, - 0xE70747C3, 0x7D8A5F3F, - 0xDAD7F3A2, 0x7A7D055B, - 0xCF043AB2, 0x7641AF3C, - 0xC3A9458F, 0x70E2CBC6, - 0xB8E31319, 0x6A6D98A4, - 0xAECC336B, 0x62F201AC, - 0xA57D8666, 0x5A82799A, - 0x9D0DFE53, 0x5133CC94, - 0x9592675B, 0x471CECE6, - 0x8F1D343A, 0x3C56BA70, - 0x89BE50C3, 0x30FBC54D, - 0x8582FAA4, 0x25280C5D, - 0x8275A0C0, 0x18F8B83C, - 0x809DC970, 0x0C8BD35E, - 0x80000000, 0x00000000, - 0x809DC970, 0xF3742CA1, - 0x8275A0C0, 0xE70747C3, - 0x8582FAA4, 0xDAD7F3A2, - 0x89BE50C3, 0xCF043AB2, - 0x8F1D343A, 0xC3A9458F, - 0x9592675B, 0xB8E31319, - 0x9D0DFE53, 0xAECC336B, - 0xA57D8666, 0xA57D8666, - 0xAECC336B, 0x9D0DFE53, - 0xB8E31319, 0x9592675B, - 0xC3A9458F, 0x8F1D343A, - 0xCF043AB2, 0x89BE50C3, - 0xDAD7F3A2, 0x8582FAA4, - 0xE70747C3, 0x8275A0C0, - 0xF3742CA1, 0x809DC970 -}; - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 128 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ -const q31_t twiddleCoef_128_q31[192] = { - 0x7FFFFFFF, 0x00000000, - 0x7FD8878D, 0x0647D97C, - 0x7F62368F, 0x0C8BD35E, - 0x7E9D55FC, 0x12C8106E, - 0x7D8A5F3F, 0x18F8B83C, - 0x7C29FBEE, 0x1F19F97B, - 0x7A7D055B, 0x25280C5D, - 0x78848413, 0x2B1F34EB, - 0x7641AF3C, 0x30FBC54D, - 0x73B5EBD0, 0x36BA2013, - 0x70E2CBC6, 0x3C56BA70, - 0x6DCA0D14, 0x41CE1E64, - 0x6A6D98A4, 0x471CECE6, - 0x66CF811F, 0x4C3FDFF3, - 0x62F201AC, 0x5133CC94, - 0x5ED77C89, 0x55F5A4D2, - 0x5A82799A, 0x5A82799A, - 0x55F5A4D2, 0x5ED77C89, - 0x5133CC94, 0x62F201AC, - 0x4C3FDFF3, 0x66CF811F, - 0x471CECE6, 0x6A6D98A4, - 0x41CE1E64, 0x6DCA0D14, - 0x3C56BA70, 0x70E2CBC6, - 0x36BA2013, 0x73B5EBD0, - 0x30FBC54D, 0x7641AF3C, - 0x2B1F34EB, 0x78848413, - 0x25280C5D, 0x7A7D055B, - 0x1F19F97B, 0x7C29FBEE, - 0x18F8B83C, 0x7D8A5F3F, - 0x12C8106E, 0x7E9D55FC, - 0x0C8BD35E, 0x7F62368F, - 0x0647D97C, 0x7FD8878D, - 0x00000000, 0x7FFFFFFF, - 0xF9B82683, 0x7FD8878D, - 0xF3742CA1, 0x7F62368F, - 0xED37EF91, 0x7E9D55FC, - 0xE70747C3, 0x7D8A5F3F, - 0xE0E60684, 0x7C29FBEE, - 0xDAD7F3A2, 0x7A7D055B, - 0xD4E0CB14, 0x78848413, - 0xCF043AB2, 0x7641AF3C, - 0xC945DFEC, 0x73B5EBD0, - 0xC3A9458F, 0x70E2CBC6, - 0xBE31E19B, 0x6DCA0D14, - 0xB8E31319, 0x6A6D98A4, - 0xB3C0200C, 0x66CF811F, - 0xAECC336B, 0x62F201AC, - 0xAA0A5B2D, 0x5ED77C89, - 0xA57D8666, 0x5A82799A, - 0xA1288376, 0x55F5A4D2, - 0x9D0DFE53, 0x5133CC94, - 0x99307EE0, 0x4C3FDFF3, - 0x9592675B, 0x471CECE6, - 0x9235F2EB, 0x41CE1E64, - 0x8F1D343A, 0x3C56BA70, - 0x8C4A142F, 0x36BA2013, - 0x89BE50C3, 0x30FBC54D, - 0x877B7BEC, 0x2B1F34EB, - 0x8582FAA4, 0x25280C5D, - 0x83D60411, 0x1F19F97B, - 0x8275A0C0, 0x18F8B83C, - 0x8162AA03, 0x12C8106E, - 0x809DC970, 0x0C8BD35E, - 0x80277872, 0x0647D97C, - 0x80000000, 0x00000000, - 0x80277872, 0xF9B82683, - 0x809DC970, 0xF3742CA1, - 0x8162AA03, 0xED37EF91, - 0x8275A0C0, 0xE70747C3, - 0x83D60411, 0xE0E60684, - 0x8582FAA4, 0xDAD7F3A2, - 0x877B7BEC, 0xD4E0CB14, - 0x89BE50C3, 0xCF043AB2, - 0x8C4A142F, 0xC945DFEC, - 0x8F1D343A, 0xC3A9458F, - 0x9235F2EB, 0xBE31E19B, - 0x9592675B, 0xB8E31319, - 0x99307EE0, 0xB3C0200C, - 0x9D0DFE53, 0xAECC336B, - 0xA1288376, 0xAA0A5B2D, - 0xA57D8666, 0xA57D8666, - 0xAA0A5B2D, 0xA1288376, - 0xAECC336B, 0x9D0DFE53, - 0xB3C0200C, 0x99307EE0, - 0xB8E31319, 0x9592675B, - 0xBE31E19B, 0x9235F2EB, - 0xC3A9458F, 0x8F1D343A, - 0xC945DFEC, 0x8C4A142F, - 0xCF043AB2, 0x89BE50C3, - 0xD4E0CB14, 0x877B7BEC, - 0xDAD7F3A2, 0x8582FAA4, - 0xE0E60684, 0x83D60411, - 0xE70747C3, 0x8275A0C0, - 0xED37EF91, 0x8162AA03, - 0xF3742CA1, 0x809DC970, - 0xF9B82683, 0x80277872 -}; - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 256 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ -const q31_t twiddleCoef_256_q31[384] = { - 0x7FFFFFFF, 0x00000000, - 0x7FF62182, 0x03242ABF, - 0x7FD8878D, 0x0647D97C, - 0x7FA736B4, 0x096A9049, - 0x7F62368F, 0x0C8BD35E, - 0x7F0991C3, 0x0FAB272B, - 0x7E9D55FC, 0x12C8106E, - 0x7E1D93E9, 0x15E21444, - 0x7D8A5F3F, 0x18F8B83C, - 0x7CE3CEB1, 0x1C0B826A, - 0x7C29FBEE, 0x1F19F97B, - 0x7B5D039D, 0x2223A4C5, - 0x7A7D055B, 0x25280C5D, - 0x798A23B1, 0x2826B928, - 0x78848413, 0x2B1F34EB, - 0x776C4EDB, 0x2E110A62, - 0x7641AF3C, 0x30FBC54D, - 0x7504D345, 0x33DEF287, - 0x73B5EBD0, 0x36BA2013, - 0x72552C84, 0x398CDD32, - 0x70E2CBC6, 0x3C56BA70, - 0x6F5F02B1, 0x3F1749B7, - 0x6DCA0D14, 0x41CE1E64, - 0x6C242960, 0x447ACD50, - 0x6A6D98A4, 0x471CECE6, - 0x68A69E81, 0x49B41533, - 0x66CF811F, 0x4C3FDFF3, - 0x64E88926, 0x4EBFE8A4, - 0x62F201AC, 0x5133CC94, - 0x60EC3830, 0x539B2AEF, - 0x5ED77C89, 0x55F5A4D2, - 0x5CB420DF, 0x5842DD54, - 0x5A82799A, 0x5A82799A, - 0x5842DD54, 0x5CB420DF, - 0x55F5A4D2, 0x5ED77C89, - 0x539B2AEF, 0x60EC3830, - 0x5133CC94, 0x62F201AC, - 0x4EBFE8A4, 0x64E88926, - 0x4C3FDFF3, 0x66CF811F, - 0x49B41533, 0x68A69E81, - 0x471CECE6, 0x6A6D98A4, - 0x447ACD50, 0x6C242960, - 0x41CE1E64, 0x6DCA0D14, - 0x3F1749B7, 0x6F5F02B1, - 0x3C56BA70, 0x70E2CBC6, - 0x398CDD32, 0x72552C84, - 0x36BA2013, 0x73B5EBD0, - 0x33DEF287, 0x7504D345, - 0x30FBC54D, 0x7641AF3C, - 0x2E110A62, 0x776C4EDB, - 0x2B1F34EB, 0x78848413, - 0x2826B928, 0x798A23B1, - 0x25280C5D, 0x7A7D055B, - 0x2223A4C5, 0x7B5D039D, - 0x1F19F97B, 0x7C29FBEE, - 0x1C0B826A, 0x7CE3CEB1, - 0x18F8B83C, 0x7D8A5F3F, - 0x15E21444, 0x7E1D93E9, - 0x12C8106E, 0x7E9D55FC, - 0x0FAB272B, 0x7F0991C3, - 0x0C8BD35E, 0x7F62368F, - 0x096A9049, 0x7FA736B4, - 0x0647D97C, 0x7FD8878D, - 0x03242ABF, 0x7FF62182, - 0x00000000, 0x7FFFFFFF, - 0xFCDBD541, 0x7FF62182, - 0xF9B82683, 0x7FD8878D, - 0xF6956FB6, 0x7FA736B4, - 0xF3742CA1, 0x7F62368F, - 0xF054D8D4, 0x7F0991C3, - 0xED37EF91, 0x7E9D55FC, - 0xEA1DEBBB, 0x7E1D93E9, - 0xE70747C3, 0x7D8A5F3F, - 0xE3F47D95, 0x7CE3CEB1, - 0xE0E60684, 0x7C29FBEE, - 0xDDDC5B3A, 0x7B5D039D, - 0xDAD7F3A2, 0x7A7D055B, - 0xD7D946D7, 0x798A23B1, - 0xD4E0CB14, 0x78848413, - 0xD1EEF59E, 0x776C4EDB, - 0xCF043AB2, 0x7641AF3C, - 0xCC210D78, 0x7504D345, - 0xC945DFEC, 0x73B5EBD0, - 0xC67322CD, 0x72552C84, - 0xC3A9458F, 0x70E2CBC6, - 0xC0E8B648, 0x6F5F02B1, - 0xBE31E19B, 0x6DCA0D14, - 0xBB8532AF, 0x6C242960, - 0xB8E31319, 0x6A6D98A4, - 0xB64BEACC, 0x68A69E81, - 0xB3C0200C, 0x66CF811F, - 0xB140175B, 0x64E88926, - 0xAECC336B, 0x62F201AC, - 0xAC64D510, 0x60EC3830, - 0xAA0A5B2D, 0x5ED77C89, - 0xA7BD22AB, 0x5CB420DF, - 0xA57D8666, 0x5A82799A, - 0xA34BDF20, 0x5842DD54, - 0xA1288376, 0x55F5A4D2, - 0x9F13C7D0, 0x539B2AEF, - 0x9D0DFE53, 0x5133CC94, - 0x9B1776D9, 0x4EBFE8A4, - 0x99307EE0, 0x4C3FDFF3, - 0x9759617E, 0x49B41533, - 0x9592675B, 0x471CECE6, - 0x93DBD69F, 0x447ACD50, - 0x9235F2EB, 0x41CE1E64, - 0x90A0FD4E, 0x3F1749B7, - 0x8F1D343A, 0x3C56BA70, - 0x8DAAD37B, 0x398CDD32, - 0x8C4A142F, 0x36BA2013, - 0x8AFB2CBA, 0x33DEF287, - 0x89BE50C3, 0x30FBC54D, - 0x8893B124, 0x2E110A62, - 0x877B7BEC, 0x2B1F34EB, - 0x8675DC4E, 0x2826B928, - 0x8582FAA4, 0x25280C5D, - 0x84A2FC62, 0x2223A4C5, - 0x83D60411, 0x1F19F97B, - 0x831C314E, 0x1C0B826A, - 0x8275A0C0, 0x18F8B83C, - 0x81E26C16, 0x15E21444, - 0x8162AA03, 0x12C8106E, - 0x80F66E3C, 0x0FAB272B, - 0x809DC970, 0x0C8BD35E, - 0x8058C94C, 0x096A9049, - 0x80277872, 0x0647D97C, - 0x8009DE7D, 0x03242ABF, - 0x80000000, 0x00000000, - 0x8009DE7D, 0xFCDBD541, - 0x80277872, 0xF9B82683, - 0x8058C94C, 0xF6956FB6, - 0x809DC970, 0xF3742CA1, - 0x80F66E3C, 0xF054D8D4, - 0x8162AA03, 0xED37EF91, - 0x81E26C16, 0xEA1DEBBB, - 0x8275A0C0, 0xE70747C3, - 0x831C314E, 0xE3F47D95, - 0x83D60411, 0xE0E60684, - 0x84A2FC62, 0xDDDC5B3A, - 0x8582FAA4, 0xDAD7F3A2, - 0x8675DC4E, 0xD7D946D7, - 0x877B7BEC, 0xD4E0CB14, - 0x8893B124, 0xD1EEF59E, - 0x89BE50C3, 0xCF043AB2, - 0x8AFB2CBA, 0xCC210D78, - 0x8C4A142F, 0xC945DFEC, - 0x8DAAD37B, 0xC67322CD, - 0x8F1D343A, 0xC3A9458F, - 0x90A0FD4E, 0xC0E8B648, - 0x9235F2EB, 0xBE31E19B, - 0x93DBD69F, 0xBB8532AF, - 0x9592675B, 0xB8E31319, - 0x9759617E, 0xB64BEACC, - 0x99307EE0, 0xB3C0200C, - 0x9B1776D9, 0xB140175B, - 0x9D0DFE53, 0xAECC336B, - 0x9F13C7D0, 0xAC64D510, - 0xA1288376, 0xAA0A5B2D, - 0xA34BDF20, 0xA7BD22AB, - 0xA57D8666, 0xA57D8666, - 0xA7BD22AB, 0xA34BDF20, - 0xAA0A5B2D, 0xA1288376, - 0xAC64D510, 0x9F13C7D0, - 0xAECC336B, 0x9D0DFE53, - 0xB140175B, 0x9B1776D9, - 0xB3C0200C, 0x99307EE0, - 0xB64BEACC, 0x9759617E, - 0xB8E31319, 0x9592675B, - 0xBB8532AF, 0x93DBD69F, - 0xBE31E19B, 0x9235F2EB, - 0xC0E8B648, 0x90A0FD4E, - 0xC3A9458F, 0x8F1D343A, - 0xC67322CD, 0x8DAAD37B, - 0xC945DFEC, 0x8C4A142F, - 0xCC210D78, 0x8AFB2CBA, - 0xCF043AB2, 0x89BE50C3, - 0xD1EEF59E, 0x8893B124, - 0xD4E0CB14, 0x877B7BEC, - 0xD7D946D7, 0x8675DC4E, - 0xDAD7F3A2, 0x8582FAA4, - 0xDDDC5B3A, 0x84A2FC62, - 0xE0E60684, 0x83D60411, - 0xE3F47D95, 0x831C314E, - 0xE70747C3, 0x8275A0C0, - 0xEA1DEBBB, 0x81E26C16, - 0xED37EF91, 0x8162AA03, - 0xF054D8D4, 0x80F66E3C, - 0xF3742CA1, 0x809DC970, - 0xF6956FB6, 0x8058C94C, - 0xF9B82683, 0x80277872, - 0xFCDBD541, 0x8009DE7D -}; - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 512 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ -const q31_t twiddleCoef_512_q31[768] = { - 0x7FFFFFFF, 0x00000000, - 0x7FFD885A, 0x01921D1F, - 0x7FF62182, 0x03242ABF, - 0x7FE9CBC0, 0x04B6195D, - 0x7FD8878D, 0x0647D97C, - 0x7FC25596, 0x07D95B9E, - 0x7FA736B4, 0x096A9049, - 0x7F872BF3, 0x0AFB6805, - 0x7F62368F, 0x0C8BD35E, - 0x7F3857F5, 0x0E1BC2E3, - 0x7F0991C3, 0x0FAB272B, - 0x7ED5E5C6, 0x1139F0CE, - 0x7E9D55FC, 0x12C8106E, - 0x7E5FE493, 0x145576B1, - 0x7E1D93E9, 0x15E21444, - 0x7DD6668E, 0x176DD9DE, - 0x7D8A5F3F, 0x18F8B83C, - 0x7D3980EC, 0x1A82A025, - 0x7CE3CEB1, 0x1C0B826A, - 0x7C894BDD, 0x1D934FE5, - 0x7C29FBEE, 0x1F19F97B, - 0x7BC5E28F, 0x209F701C, - 0x7B5D039D, 0x2223A4C5, - 0x7AEF6323, 0x23A6887E, - 0x7A7D055B, 0x25280C5D, - 0x7A05EEAD, 0x26A82185, - 0x798A23B1, 0x2826B928, - 0x7909A92C, 0x29A3C484, - 0x78848413, 0x2B1F34EB, - 0x77FAB988, 0x2C98FBBA, - 0x776C4EDB, 0x2E110A62, - 0x76D94988, 0x2F875262, - 0x7641AF3C, 0x30FBC54D, - 0x75A585CF, 0x326E54C7, - 0x7504D345, 0x33DEF287, - 0x745F9DD1, 0x354D9056, - 0x73B5EBD0, 0x36BA2013, - 0x7307C3D0, 0x382493B0, - 0x72552C84, 0x398CDD32, - 0x719E2CD2, 0x3AF2EEB7, - 0x70E2CBC6, 0x3C56BA70, - 0x70231099, 0x3DB832A5, - 0x6F5F02B1, 0x3F1749B7, - 0x6E96A99C, 0x4073F21D, - 0x6DCA0D14, 0x41CE1E64, - 0x6CF934FB, 0x4325C135, - 0x6C242960, 0x447ACD50, - 0x6B4AF278, 0x45CD358F, - 0x6A6D98A4, 0x471CECE6, - 0x698C246C, 0x4869E664, - 0x68A69E81, 0x49B41533, - 0x67BD0FBC, 0x4AFB6C97, - 0x66CF811F, 0x4C3FDFF3, - 0x65DDFBD3, 0x4D8162C4, - 0x64E88926, 0x4EBFE8A4, - 0x63EF328F, 0x4FFB654D, - 0x62F201AC, 0x5133CC94, - 0x61F1003E, 0x5269126E, - 0x60EC3830, 0x539B2AEF, - 0x5FE3B38D, 0x54CA0A4A, - 0x5ED77C89, 0x55F5A4D2, - 0x5DC79D7C, 0x571DEEF9, - 0x5CB420DF, 0x5842DD54, - 0x5B9D1153, 0x59646497, - 0x5A82799A, 0x5A82799A, - 0x59646497, 0x5B9D1153, - 0x5842DD54, 0x5CB420DF, - 0x571DEEF9, 0x5DC79D7C, - 0x55F5A4D2, 0x5ED77C89, - 0x54CA0A4A, 0x5FE3B38D, - 0x539B2AEF, 0x60EC3830, - 0x5269126E, 0x61F1003E, - 0x5133CC94, 0x62F201AC, - 0x4FFB654D, 0x63EF328F, - 0x4EBFE8A4, 0x64E88926, - 0x4D8162C4, 0x65DDFBD3, - 0x4C3FDFF3, 0x66CF811F, - 0x4AFB6C97, 0x67BD0FBC, - 0x49B41533, 0x68A69E81, - 0x4869E664, 0x698C246C, - 0x471CECE6, 0x6A6D98A4, - 0x45CD358F, 0x6B4AF278, - 0x447ACD50, 0x6C242960, - 0x4325C135, 0x6CF934FB, - 0x41CE1E64, 0x6DCA0D14, - 0x4073F21D, 0x6E96A99C, - 0x3F1749B7, 0x6F5F02B1, - 0x3DB832A5, 0x70231099, - 0x3C56BA70, 0x70E2CBC6, - 0x3AF2EEB7, 0x719E2CD2, - 0x398CDD32, 0x72552C84, - 0x382493B0, 0x7307C3D0, - 0x36BA2013, 0x73B5EBD0, - 0x354D9056, 0x745F9DD1, - 0x33DEF287, 0x7504D345, - 0x326E54C7, 0x75A585CF, - 0x30FBC54D, 0x7641AF3C, - 0x2F875262, 0x76D94988, - 0x2E110A62, 0x776C4EDB, - 0x2C98FBBA, 0x77FAB988, - 0x2B1F34EB, 0x78848413, - 0x29A3C484, 0x7909A92C, - 0x2826B928, 0x798A23B1, - 0x26A82185, 0x7A05EEAD, - 0x25280C5D, 0x7A7D055B, - 0x23A6887E, 0x7AEF6323, - 0x2223A4C5, 0x7B5D039D, - 0x209F701C, 0x7BC5E28F, - 0x1F19F97B, 0x7C29FBEE, - 0x1D934FE5, 0x7C894BDD, - 0x1C0B826A, 0x7CE3CEB1, - 0x1A82A025, 0x7D3980EC, - 0x18F8B83C, 0x7D8A5F3F, - 0x176DD9DE, 0x7DD6668E, - 0x15E21444, 0x7E1D93E9, - 0x145576B1, 0x7E5FE493, - 0x12C8106E, 0x7E9D55FC, - 0x1139F0CE, 0x7ED5E5C6, - 0x0FAB272B, 0x7F0991C3, - 0x0E1BC2E3, 0x7F3857F5, - 0x0C8BD35E, 0x7F62368F, - 0x0AFB6805, 0x7F872BF3, - 0x096A9049, 0x7FA736B4, - 0x07D95B9E, 0x7FC25596, - 0x0647D97C, 0x7FD8878D, - 0x04B6195D, 0x7FE9CBC0, - 0x03242ABF, 0x7FF62182, - 0x01921D1F, 0x7FFD885A, - 0x00000000, 0x7FFFFFFF, - 0xFE6DE2E0, 0x7FFD885A, - 0xFCDBD541, 0x7FF62182, - 0xFB49E6A2, 0x7FE9CBC0, - 0xF9B82683, 0x7FD8878D, - 0xF826A461, 0x7FC25596, - 0xF6956FB6, 0x7FA736B4, - 0xF50497FA, 0x7F872BF3, - 0xF3742CA1, 0x7F62368F, - 0xF1E43D1C, 0x7F3857F5, - 0xF054D8D4, 0x7F0991C3, - 0xEEC60F31, 0x7ED5E5C6, - 0xED37EF91, 0x7E9D55FC, - 0xEBAA894E, 0x7E5FE493, - 0xEA1DEBBB, 0x7E1D93E9, - 0xE8922621, 0x7DD6668E, - 0xE70747C3, 0x7D8A5F3F, - 0xE57D5FDA, 0x7D3980EC, - 0xE3F47D95, 0x7CE3CEB1, - 0xE26CB01A, 0x7C894BDD, - 0xE0E60684, 0x7C29FBEE, - 0xDF608FE3, 0x7BC5E28F, - 0xDDDC5B3A, 0x7B5D039D, - 0xDC597781, 0x7AEF6323, - 0xDAD7F3A2, 0x7A7D055B, - 0xD957DE7A, 0x7A05EEAD, - 0xD7D946D7, 0x798A23B1, - 0xD65C3B7B, 0x7909A92C, - 0xD4E0CB14, 0x78848413, - 0xD3670445, 0x77FAB988, - 0xD1EEF59E, 0x776C4EDB, - 0xD078AD9D, 0x76D94988, - 0xCF043AB2, 0x7641AF3C, - 0xCD91AB38, 0x75A585CF, - 0xCC210D78, 0x7504D345, - 0xCAB26FA9, 0x745F9DD1, - 0xC945DFEC, 0x73B5EBD0, - 0xC7DB6C50, 0x7307C3D0, - 0xC67322CD, 0x72552C84, - 0xC50D1148, 0x719E2CD2, - 0xC3A9458F, 0x70E2CBC6, - 0xC247CD5A, 0x70231099, - 0xC0E8B648, 0x6F5F02B1, - 0xBF8C0DE2, 0x6E96A99C, - 0xBE31E19B, 0x6DCA0D14, - 0xBCDA3ECA, 0x6CF934FB, - 0xBB8532AF, 0x6C242960, - 0xBA32CA70, 0x6B4AF278, - 0xB8E31319, 0x6A6D98A4, - 0xB796199B, 0x698C246C, - 0xB64BEACC, 0x68A69E81, - 0xB5049368, 0x67BD0FBC, - 0xB3C0200C, 0x66CF811F, - 0xB27E9D3B, 0x65DDFBD3, - 0xB140175B, 0x64E88926, - 0xB0049AB2, 0x63EF328F, - 0xAECC336B, 0x62F201AC, - 0xAD96ED91, 0x61F1003E, - 0xAC64D510, 0x60EC3830, - 0xAB35F5B5, 0x5FE3B38D, - 0xAA0A5B2D, 0x5ED77C89, - 0xA8E21106, 0x5DC79D7C, - 0xA7BD22AB, 0x5CB420DF, - 0xA69B9B68, 0x5B9D1153, - 0xA57D8666, 0x5A82799A, - 0xA462EEAC, 0x59646497, - 0xA34BDF20, 0x5842DD54, - 0xA2386283, 0x571DEEF9, - 0xA1288376, 0x55F5A4D2, - 0xA01C4C72, 0x54CA0A4A, - 0x9F13C7D0, 0x539B2AEF, - 0x9E0EFFC1, 0x5269126E, - 0x9D0DFE53, 0x5133CC94, - 0x9C10CD70, 0x4FFB654D, - 0x9B1776D9, 0x4EBFE8A4, - 0x9A22042C, 0x4D8162C4, - 0x99307EE0, 0x4C3FDFF3, - 0x9842F043, 0x4AFB6C97, - 0x9759617E, 0x49B41533, - 0x9673DB94, 0x4869E664, - 0x9592675B, 0x471CECE6, - 0x94B50D87, 0x45CD358F, - 0x93DBD69F, 0x447ACD50, - 0x9306CB04, 0x4325C135, - 0x9235F2EB, 0x41CE1E64, - 0x91695663, 0x4073F21D, - 0x90A0FD4E, 0x3F1749B7, - 0x8FDCEF66, 0x3DB832A5, - 0x8F1D343A, 0x3C56BA70, - 0x8E61D32D, 0x3AF2EEB7, - 0x8DAAD37B, 0x398CDD32, - 0x8CF83C30, 0x382493B0, - 0x8C4A142F, 0x36BA2013, - 0x8BA0622F, 0x354D9056, - 0x8AFB2CBA, 0x33DEF287, - 0x8A5A7A30, 0x326E54C7, - 0x89BE50C3, 0x30FBC54D, - 0x8926B677, 0x2F875262, - 0x8893B124, 0x2E110A62, - 0x88054677, 0x2C98FBBA, - 0x877B7BEC, 0x2B1F34EB, - 0x86F656D3, 0x29A3C484, - 0x8675DC4E, 0x2826B928, - 0x85FA1152, 0x26A82185, - 0x8582FAA4, 0x25280C5D, - 0x85109CDC, 0x23A6887E, - 0x84A2FC62, 0x2223A4C5, - 0x843A1D70, 0x209F701C, - 0x83D60411, 0x1F19F97B, - 0x8376B422, 0x1D934FE5, - 0x831C314E, 0x1C0B826A, - 0x82C67F13, 0x1A82A025, - 0x8275A0C0, 0x18F8B83C, - 0x82299971, 0x176DD9DE, - 0x81E26C16, 0x15E21444, - 0x81A01B6C, 0x145576B1, - 0x8162AA03, 0x12C8106E, - 0x812A1A39, 0x1139F0CE, - 0x80F66E3C, 0x0FAB272B, - 0x80C7A80A, 0x0E1BC2E3, - 0x809DC970, 0x0C8BD35E, - 0x8078D40D, 0x0AFB6805, - 0x8058C94C, 0x096A9049, - 0x803DAA69, 0x07D95B9E, - 0x80277872, 0x0647D97C, - 0x80163440, 0x04B6195D, - 0x8009DE7D, 0x03242ABF, - 0x800277A5, 0x01921D1F, - 0x80000000, 0x00000000, - 0x800277A5, 0xFE6DE2E0, - 0x8009DE7D, 0xFCDBD541, - 0x80163440, 0xFB49E6A2, - 0x80277872, 0xF9B82683, - 0x803DAA69, 0xF826A461, - 0x8058C94C, 0xF6956FB6, - 0x8078D40D, 0xF50497FA, - 0x809DC970, 0xF3742CA1, - 0x80C7A80A, 0xF1E43D1C, - 0x80F66E3C, 0xF054D8D4, - 0x812A1A39, 0xEEC60F31, - 0x8162AA03, 0xED37EF91, - 0x81A01B6C, 0xEBAA894E, - 0x81E26C16, 0xEA1DEBBB, - 0x82299971, 0xE8922621, - 0x8275A0C0, 0xE70747C3, - 0x82C67F13, 0xE57D5FDA, - 0x831C314E, 0xE3F47D95, - 0x8376B422, 0xE26CB01A, - 0x83D60411, 0xE0E60684, - 0x843A1D70, 0xDF608FE3, - 0x84A2FC62, 0xDDDC5B3A, - 0x85109CDC, 0xDC597781, - 0x8582FAA4, 0xDAD7F3A2, - 0x85FA1152, 0xD957DE7A, - 0x8675DC4E, 0xD7D946D7, - 0x86F656D3, 0xD65C3B7B, - 0x877B7BEC, 0xD4E0CB14, - 0x88054677, 0xD3670445, - 0x8893B124, 0xD1EEF59E, - 0x8926B677, 0xD078AD9D, - 0x89BE50C3, 0xCF043AB2, - 0x8A5A7A30, 0xCD91AB38, - 0x8AFB2CBA, 0xCC210D78, - 0x8BA0622F, 0xCAB26FA9, - 0x8C4A142F, 0xC945DFEC, - 0x8CF83C30, 0xC7DB6C50, - 0x8DAAD37B, 0xC67322CD, - 0x8E61D32D, 0xC50D1148, - 0x8F1D343A, 0xC3A9458F, - 0x8FDCEF66, 0xC247CD5A, - 0x90A0FD4E, 0xC0E8B648, - 0x91695663, 0xBF8C0DE2, - 0x9235F2EB, 0xBE31E19B, - 0x9306CB04, 0xBCDA3ECA, - 0x93DBD69F, 0xBB8532AF, - 0x94B50D87, 0xBA32CA70, - 0x9592675B, 0xB8E31319, - 0x9673DB94, 0xB796199B, - 0x9759617E, 0xB64BEACC, - 0x9842F043, 0xB5049368, - 0x99307EE0, 0xB3C0200C, - 0x9A22042C, 0xB27E9D3B, - 0x9B1776D9, 0xB140175B, - 0x9C10CD70, 0xB0049AB2, - 0x9D0DFE53, 0xAECC336B, - 0x9E0EFFC1, 0xAD96ED91, - 0x9F13C7D0, 0xAC64D510, - 0xA01C4C72, 0xAB35F5B5, - 0xA1288376, 0xAA0A5B2D, - 0xA2386283, 0xA8E21106, - 0xA34BDF20, 0xA7BD22AB, - 0xA462EEAC, 0xA69B9B68, - 0xA57D8666, 0xA57D8666, - 0xA69B9B68, 0xA462EEAC, - 0xA7BD22AB, 0xA34BDF20, - 0xA8E21106, 0xA2386283, - 0xAA0A5B2D, 0xA1288376, - 0xAB35F5B5, 0xA01C4C72, - 0xAC64D510, 0x9F13C7D0, - 0xAD96ED91, 0x9E0EFFC1, - 0xAECC336B, 0x9D0DFE53, - 0xB0049AB2, 0x9C10CD70, - 0xB140175B, 0x9B1776D9, - 0xB27E9D3B, 0x9A22042C, - 0xB3C0200C, 0x99307EE0, - 0xB5049368, 0x9842F043, - 0xB64BEACC, 0x9759617E, - 0xB796199B, 0x9673DB94, - 0xB8E31319, 0x9592675B, - 0xBA32CA70, 0x94B50D87, - 0xBB8532AF, 0x93DBD69F, - 0xBCDA3ECA, 0x9306CB04, - 0xBE31E19B, 0x9235F2EB, - 0xBF8C0DE2, 0x91695663, - 0xC0E8B648, 0x90A0FD4E, - 0xC247CD5A, 0x8FDCEF66, - 0xC3A9458F, 0x8F1D343A, - 0xC50D1148, 0x8E61D32D, - 0xC67322CD, 0x8DAAD37B, - 0xC7DB6C50, 0x8CF83C30, - 0xC945DFEC, 0x8C4A142F, - 0xCAB26FA9, 0x8BA0622F, - 0xCC210D78, 0x8AFB2CBA, - 0xCD91AB38, 0x8A5A7A30, - 0xCF043AB2, 0x89BE50C3, - 0xD078AD9D, 0x8926B677, - 0xD1EEF59E, 0x8893B124, - 0xD3670445, 0x88054677, - 0xD4E0CB14, 0x877B7BEC, - 0xD65C3B7B, 0x86F656D3, - 0xD7D946D7, 0x8675DC4E, - 0xD957DE7A, 0x85FA1152, - 0xDAD7F3A2, 0x8582FAA4, - 0xDC597781, 0x85109CDC, - 0xDDDC5B3A, 0x84A2FC62, - 0xDF608FE3, 0x843A1D70, - 0xE0E60684, 0x83D60411, - 0xE26CB01A, 0x8376B422, - 0xE3F47D95, 0x831C314E, - 0xE57D5FDA, 0x82C67F13, - 0xE70747C3, 0x8275A0C0, - 0xE8922621, 0x82299971, - 0xEA1DEBBB, 0x81E26C16, - 0xEBAA894E, 0x81A01B6C, - 0xED37EF91, 0x8162AA03, - 0xEEC60F31, 0x812A1A39, - 0xF054D8D4, 0x80F66E3C, - 0xF1E43D1C, 0x80C7A80A, - 0xF3742CA1, 0x809DC970, - 0xF50497FA, 0x8078D40D, - 0xF6956FB6, 0x8058C94C, - 0xF826A461, 0x803DAA69, - 0xF9B82683, 0x80277872, - 0xFB49E6A2, 0x80163440, - 0xFCDBD541, 0x8009DE7D, - 0xFE6DE2E0, 0x800277A5 -}; - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 1024 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ -const q31_t twiddleCoef_1024_q31[1536] = { - 0x7FFFFFFF, 0x00000000, - 0x7FFF6216, 0x00C90F88, - 0x7FFD885A, 0x01921D1F, - 0x7FFA72D1, 0x025B26D7, - 0x7FF62182, 0x03242ABF, - 0x7FF09477, 0x03ED26E6, - 0x7FE9CBC0, 0x04B6195D, - 0x7FE1C76B, 0x057F0034, - 0x7FD8878D, 0x0647D97C, - 0x7FCE0C3E, 0x0710A344, - 0x7FC25596, 0x07D95B9E, - 0x7FB563B2, 0x08A2009A, - 0x7FA736B4, 0x096A9049, - 0x7F97CEBC, 0x0A3308BC, - 0x7F872BF3, 0x0AFB6805, - 0x7F754E7F, 0x0BC3AC35, - 0x7F62368F, 0x0C8BD35E, - 0x7F4DE450, 0x0D53DB92, - 0x7F3857F5, 0x0E1BC2E3, - 0x7F2191B4, 0x0EE38765, - 0x7F0991C3, 0x0FAB272B, - 0x7EF0585F, 0x1072A047, - 0x7ED5E5C6, 0x1139F0CE, - 0x7EBA3A39, 0x120116D4, - 0x7E9D55FC, 0x12C8106E, - 0x7E7F3956, 0x138EDBB0, - 0x7E5FE493, 0x145576B1, - 0x7E3F57FE, 0x151BDF85, - 0x7E1D93E9, 0x15E21444, - 0x7DFA98A7, 0x16A81305, - 0x7DD6668E, 0x176DD9DE, - 0x7DB0FDF7, 0x183366E8, - 0x7D8A5F3F, 0x18F8B83C, - 0x7D628AC5, 0x19BDCBF2, - 0x7D3980EC, 0x1A82A025, - 0x7D0F4218, 0x1B4732EF, - 0x7CE3CEB1, 0x1C0B826A, - 0x7CB72724, 0x1CCF8CB3, - 0x7C894BDD, 0x1D934FE5, - 0x7C5A3D4F, 0x1E56CA1E, - 0x7C29FBEE, 0x1F19F97B, - 0x7BF88830, 0x1FDCDC1A, - 0x7BC5E28F, 0x209F701C, - 0x7B920B89, 0x2161B39F, - 0x7B5D039D, 0x2223A4C5, - 0x7B26CB4F, 0x22E541AE, - 0x7AEF6323, 0x23A6887E, - 0x7AB6CBA3, 0x24677757, - 0x7A7D055B, 0x25280C5D, - 0x7A4210D8, 0x25E845B5, - 0x7A05EEAD, 0x26A82185, - 0x79C89F6D, 0x27679DF4, - 0x798A23B1, 0x2826B928, - 0x794A7C11, 0x28E5714A, - 0x7909A92C, 0x29A3C484, - 0x78C7ABA1, 0x2A61B101, - 0x78848413, 0x2B1F34EB, - 0x78403328, 0x2BDC4E6F, - 0x77FAB988, 0x2C98FBBA, - 0x77B417DF, 0x2D553AFB, - 0x776C4EDB, 0x2E110A62, - 0x77235F2D, 0x2ECC681E, - 0x76D94988, 0x2F875262, - 0x768E0EA5, 0x3041C760, - 0x7641AF3C, 0x30FBC54D, - 0x75F42C0A, 0x31B54A5D, - 0x75A585CF, 0x326E54C7, - 0x7555BD4B, 0x3326E2C2, - 0x7504D345, 0x33DEF287, - 0x74B2C883, 0x3496824F, - 0x745F9DD1, 0x354D9056, - 0x740B53FA, 0x36041AD9, - 0x73B5EBD0, 0x36BA2013, - 0x735F6626, 0x376F9E46, - 0x7307C3D0, 0x382493B0, - 0x72AF05A6, 0x38D8FE93, - 0x72552C84, 0x398CDD32, - 0x71FA3948, 0x3A402DD1, - 0x719E2CD2, 0x3AF2EEB7, - 0x71410804, 0x3BA51E29, - 0x70E2CBC6, 0x3C56BA70, - 0x708378FE, 0x3D07C1D5, - 0x70231099, 0x3DB832A5, - 0x6FC19385, 0x3E680B2C, - 0x6F5F02B1, 0x3F1749B7, - 0x6EFB5F12, 0x3FC5EC97, - 0x6E96A99C, 0x4073F21D, - 0x6E30E349, 0x4121589A, - 0x6DCA0D14, 0x41CE1E64, - 0x6D6227FA, 0x427A41D0, - 0x6CF934FB, 0x4325C135, - 0x6C8F351C, 0x43D09AEC, - 0x6C242960, 0x447ACD50, - 0x6BB812D0, 0x452456BC, - 0x6B4AF278, 0x45CD358F, - 0x6ADCC964, 0x46756827, - 0x6A6D98A4, 0x471CECE6, - 0x69FD614A, 0x47C3C22E, - 0x698C246C, 0x4869E664, - 0x6919E320, 0x490F57EE, - 0x68A69E81, 0x49B41533, - 0x683257AA, 0x4A581C9D, - 0x67BD0FBC, 0x4AFB6C97, - 0x6746C7D7, 0x4B9E038F, - 0x66CF811F, 0x4C3FDFF3, - 0x66573CBB, 0x4CE10034, - 0x65DDFBD3, 0x4D8162C4, - 0x6563BF92, 0x4E210617, - 0x64E88926, 0x4EBFE8A4, - 0x646C59BF, 0x4F5E08E3, - 0x63EF328F, 0x4FFB654D, - 0x637114CC, 0x5097FC5E, - 0x62F201AC, 0x5133CC94, - 0x6271FA69, 0x51CED46E, - 0x61F1003E, 0x5269126E, - 0x616F146B, 0x53028517, - 0x60EC3830, 0x539B2AEF, - 0x60686CCE, 0x5433027D, - 0x5FE3B38D, 0x54CA0A4A, - 0x5F5E0DB3, 0x556040E2, - 0x5ED77C89, 0x55F5A4D2, - 0x5E50015D, 0x568A34A9, - 0x5DC79D7C, 0x571DEEF9, - 0x5D3E5236, 0x57B0D256, - 0x5CB420DF, 0x5842DD54, - 0x5C290ACC, 0x58D40E8C, - 0x5B9D1153, 0x59646497, - 0x5B1035CF, 0x59F3DE12, - 0x5A82799A, 0x5A82799A, - 0x59F3DE12, 0x5B1035CF, - 0x59646497, 0x5B9D1153, - 0x58D40E8C, 0x5C290ACC, - 0x5842DD54, 0x5CB420DF, - 0x57B0D256, 0x5D3E5236, - 0x571DEEF9, 0x5DC79D7C, - 0x568A34A9, 0x5E50015D, - 0x55F5A4D2, 0x5ED77C89, - 0x556040E2, 0x5F5E0DB3, - 0x54CA0A4A, 0x5FE3B38D, - 0x5433027D, 0x60686CCE, - 0x539B2AEF, 0x60EC3830, - 0x53028517, 0x616F146B, - 0x5269126E, 0x61F1003E, - 0x51CED46E, 0x6271FA69, - 0x5133CC94, 0x62F201AC, - 0x5097FC5E, 0x637114CC, - 0x4FFB654D, 0x63EF328F, - 0x4F5E08E3, 0x646C59BF, - 0x4EBFE8A4, 0x64E88926, - 0x4E210617, 0x6563BF92, - 0x4D8162C4, 0x65DDFBD3, - 0x4CE10034, 0x66573CBB, - 0x4C3FDFF3, 0x66CF811F, - 0x4B9E038F, 0x6746C7D7, - 0x4AFB6C97, 0x67BD0FBC, - 0x4A581C9D, 0x683257AA, - 0x49B41533, 0x68A69E81, - 0x490F57EE, 0x6919E320, - 0x4869E664, 0x698C246C, - 0x47C3C22E, 0x69FD614A, - 0x471CECE6, 0x6A6D98A4, - 0x46756827, 0x6ADCC964, - 0x45CD358F, 0x6B4AF278, - 0x452456BC, 0x6BB812D0, - 0x447ACD50, 0x6C242960, - 0x43D09AEC, 0x6C8F351C, - 0x4325C135, 0x6CF934FB, - 0x427A41D0, 0x6D6227FA, - 0x41CE1E64, 0x6DCA0D14, - 0x4121589A, 0x6E30E349, - 0x4073F21D, 0x6E96A99C, - 0x3FC5EC97, 0x6EFB5F12, - 0x3F1749B7, 0x6F5F02B1, - 0x3E680B2C, 0x6FC19385, - 0x3DB832A5, 0x70231099, - 0x3D07C1D5, 0x708378FE, - 0x3C56BA70, 0x70E2CBC6, - 0x3BA51E29, 0x71410804, - 0x3AF2EEB7, 0x719E2CD2, - 0x3A402DD1, 0x71FA3948, - 0x398CDD32, 0x72552C84, - 0x38D8FE93, 0x72AF05A6, - 0x382493B0, 0x7307C3D0, - 0x376F9E46, 0x735F6626, - 0x36BA2013, 0x73B5EBD0, - 0x36041AD9, 0x740B53FA, - 0x354D9056, 0x745F9DD1, - 0x3496824F, 0x74B2C883, - 0x33DEF287, 0x7504D345, - 0x3326E2C2, 0x7555BD4B, - 0x326E54C7, 0x75A585CF, - 0x31B54A5D, 0x75F42C0A, - 0x30FBC54D, 0x7641AF3C, - 0x3041C760, 0x768E0EA5, - 0x2F875262, 0x76D94988, - 0x2ECC681E, 0x77235F2D, - 0x2E110A62, 0x776C4EDB, - 0x2D553AFB, 0x77B417DF, - 0x2C98FBBA, 0x77FAB988, - 0x2BDC4E6F, 0x78403328, - 0x2B1F34EB, 0x78848413, - 0x2A61B101, 0x78C7ABA1, - 0x29A3C484, 0x7909A92C, - 0x28E5714A, 0x794A7C11, - 0x2826B928, 0x798A23B1, - 0x27679DF4, 0x79C89F6D, - 0x26A82185, 0x7A05EEAD, - 0x25E845B5, 0x7A4210D8, - 0x25280C5D, 0x7A7D055B, - 0x24677757, 0x7AB6CBA3, - 0x23A6887E, 0x7AEF6323, - 0x22E541AE, 0x7B26CB4F, - 0x2223A4C5, 0x7B5D039D, - 0x2161B39F, 0x7B920B89, - 0x209F701C, 0x7BC5E28F, - 0x1FDCDC1A, 0x7BF88830, - 0x1F19F97B, 0x7C29FBEE, - 0x1E56CA1E, 0x7C5A3D4F, - 0x1D934FE5, 0x7C894BDD, - 0x1CCF8CB3, 0x7CB72724, - 0x1C0B826A, 0x7CE3CEB1, - 0x1B4732EF, 0x7D0F4218, - 0x1A82A025, 0x7D3980EC, - 0x19BDCBF2, 0x7D628AC5, - 0x18F8B83C, 0x7D8A5F3F, - 0x183366E8, 0x7DB0FDF7, - 0x176DD9DE, 0x7DD6668E, - 0x16A81305, 0x7DFA98A7, - 0x15E21444, 0x7E1D93E9, - 0x151BDF85, 0x7E3F57FE, - 0x145576B1, 0x7E5FE493, - 0x138EDBB0, 0x7E7F3956, - 0x12C8106E, 0x7E9D55FC, - 0x120116D4, 0x7EBA3A39, - 0x1139F0CE, 0x7ED5E5C6, - 0x1072A047, 0x7EF0585F, - 0x0FAB272B, 0x7F0991C3, - 0x0EE38765, 0x7F2191B4, - 0x0E1BC2E3, 0x7F3857F5, - 0x0D53DB92, 0x7F4DE450, - 0x0C8BD35E, 0x7F62368F, - 0x0BC3AC35, 0x7F754E7F, - 0x0AFB6805, 0x7F872BF3, - 0x0A3308BC, 0x7F97CEBC, - 0x096A9049, 0x7FA736B4, - 0x08A2009A, 0x7FB563B2, - 0x07D95B9E, 0x7FC25596, - 0x0710A344, 0x7FCE0C3E, - 0x0647D97C, 0x7FD8878D, - 0x057F0034, 0x7FE1C76B, - 0x04B6195D, 0x7FE9CBC0, - 0x03ED26E6, 0x7FF09477, - 0x03242ABF, 0x7FF62182, - 0x025B26D7, 0x7FFA72D1, - 0x01921D1F, 0x7FFD885A, - 0x00C90F88, 0x7FFF6216, - 0x00000000, 0x7FFFFFFF, - 0xFF36F078, 0x7FFF6216, - 0xFE6DE2E0, 0x7FFD885A, - 0xFDA4D928, 0x7FFA72D1, - 0xFCDBD541, 0x7FF62182, - 0xFC12D919, 0x7FF09477, - 0xFB49E6A2, 0x7FE9CBC0, - 0xFA80FFCB, 0x7FE1C76B, - 0xF9B82683, 0x7FD8878D, - 0xF8EF5CBB, 0x7FCE0C3E, - 0xF826A461, 0x7FC25596, - 0xF75DFF65, 0x7FB563B2, - 0xF6956FB6, 0x7FA736B4, - 0xF5CCF743, 0x7F97CEBC, - 0xF50497FA, 0x7F872BF3, - 0xF43C53CA, 0x7F754E7F, - 0xF3742CA1, 0x7F62368F, - 0xF2AC246D, 0x7F4DE450, - 0xF1E43D1C, 0x7F3857F5, - 0xF11C789A, 0x7F2191B4, - 0xF054D8D4, 0x7F0991C3, - 0xEF8D5FB8, 0x7EF0585F, - 0xEEC60F31, 0x7ED5E5C6, - 0xEDFEE92B, 0x7EBA3A39, - 0xED37EF91, 0x7E9D55FC, - 0xEC71244F, 0x7E7F3956, - 0xEBAA894E, 0x7E5FE493, - 0xEAE4207A, 0x7E3F57FE, - 0xEA1DEBBB, 0x7E1D93E9, - 0xE957ECFB, 0x7DFA98A7, - 0xE8922621, 0x7DD6668E, - 0xE7CC9917, 0x7DB0FDF7, - 0xE70747C3, 0x7D8A5F3F, - 0xE642340D, 0x7D628AC5, - 0xE57D5FDA, 0x7D3980EC, - 0xE4B8CD10, 0x7D0F4218, - 0xE3F47D95, 0x7CE3CEB1, - 0xE330734C, 0x7CB72724, - 0xE26CB01A, 0x7C894BDD, - 0xE1A935E1, 0x7C5A3D4F, - 0xE0E60684, 0x7C29FBEE, - 0xE02323E5, 0x7BF88830, - 0xDF608FE3, 0x7BC5E28F, - 0xDE9E4C60, 0x7B920B89, - 0xDDDC5B3A, 0x7B5D039D, - 0xDD1ABE51, 0x7B26CB4F, - 0xDC597781, 0x7AEF6323, - 0xDB9888A8, 0x7AB6CBA3, - 0xDAD7F3A2, 0x7A7D055B, - 0xDA17BA4A, 0x7A4210D8, - 0xD957DE7A, 0x7A05EEAD, - 0xD898620C, 0x79C89F6D, - 0xD7D946D7, 0x798A23B1, - 0xD71A8EB5, 0x794A7C11, - 0xD65C3B7B, 0x7909A92C, - 0xD59E4EFE, 0x78C7ABA1, - 0xD4E0CB14, 0x78848413, - 0xD423B190, 0x78403328, - 0xD3670445, 0x77FAB988, - 0xD2AAC504, 0x77B417DF, - 0xD1EEF59E, 0x776C4EDB, - 0xD13397E1, 0x77235F2D, - 0xD078AD9D, 0x76D94988, - 0xCFBE389F, 0x768E0EA5, - 0xCF043AB2, 0x7641AF3C, - 0xCE4AB5A2, 0x75F42C0A, - 0xCD91AB38, 0x75A585CF, - 0xCCD91D3D, 0x7555BD4B, - 0xCC210D78, 0x7504D345, - 0xCB697DB0, 0x74B2C883, - 0xCAB26FA9, 0x745F9DD1, - 0xC9FBE527, 0x740B53FA, - 0xC945DFEC, 0x73B5EBD0, - 0xC89061BA, 0x735F6626, - 0xC7DB6C50, 0x7307C3D0, - 0xC727016C, 0x72AF05A6, - 0xC67322CD, 0x72552C84, - 0xC5BFD22E, 0x71FA3948, - 0xC50D1148, 0x719E2CD2, - 0xC45AE1D7, 0x71410804, - 0xC3A9458F, 0x70E2CBC6, - 0xC2F83E2A, 0x708378FE, - 0xC247CD5A, 0x70231099, - 0xC197F4D3, 0x6FC19385, - 0xC0E8B648, 0x6F5F02B1, - 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0x86F656D3, 0x29A3C484, - 0x86B583EE, 0x28E5714A, - 0x8675DC4E, 0x2826B928, - 0x86376092, 0x27679DF4, - 0x85FA1152, 0x26A82185, - 0x85BDEF27, 0x25E845B5, - 0x8582FAA4, 0x25280C5D, - 0x8549345C, 0x24677757, - 0x85109CDC, 0x23A6887E, - 0x84D934B0, 0x22E541AE, - 0x84A2FC62, 0x2223A4C5, - 0x846DF476, 0x2161B39F, - 0x843A1D70, 0x209F701C, - 0x840777CF, 0x1FDCDC1A, - 0x83D60411, 0x1F19F97B, - 0x83A5C2B0, 0x1E56CA1E, - 0x8376B422, 0x1D934FE5, - 0x8348D8DB, 0x1CCF8CB3, - 0x831C314E, 0x1C0B826A, - 0x82F0BDE8, 0x1B4732EF, - 0x82C67F13, 0x1A82A025, - 0x829D753A, 0x19BDCBF2, - 0x8275A0C0, 0x18F8B83C, - 0x824F0208, 0x183366E8, - 0x82299971, 0x176DD9DE, - 0x82056758, 0x16A81305, - 0x81E26C16, 0x15E21444, - 0x81C0A801, 0x151BDF85, - 0x81A01B6C, 0x145576B1, - 0x8180C6A9, 0x138EDBB0, - 0x8162AA03, 0x12C8106E, - 0x8145C5C6, 0x120116D4, - 0x812A1A39, 0x1139F0CE, - 0x810FA7A0, 0x1072A047, - 0x80F66E3C, 0x0FAB272B, - 0x80DE6E4C, 0x0EE38765, - 0x80C7A80A, 0x0E1BC2E3, - 0x80B21BAF, 0x0D53DB92, - 0x809DC970, 0x0C8BD35E, - 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0x8971F15A, 0xCFBE389F, - 0x89BE50C3, 0xCF043AB2, - 0x8A0BD3F5, 0xCE4AB5A2, - 0x8A5A7A30, 0xCD91AB38, - 0x8AAA42B4, 0xCCD91D3D, - 0x8AFB2CBA, 0xCC210D78, - 0x8B4D377C, 0xCB697DB0, - 0x8BA0622F, 0xCAB26FA9, - 0x8BF4AC05, 0xC9FBE527, - 0x8C4A142F, 0xC945DFEC, - 0x8CA099D9, 0xC89061BA, - 0x8CF83C30, 0xC7DB6C50, - 0x8D50FA59, 0xC727016C, - 0x8DAAD37B, 0xC67322CD, - 0x8E05C6B7, 0xC5BFD22E, - 0x8E61D32D, 0xC50D1148, - 0x8EBEF7FB, 0xC45AE1D7, - 0x8F1D343A, 0xC3A9458F, - 0x8F7C8701, 0xC2F83E2A, - 0x8FDCEF66, 0xC247CD5A, - 0x903E6C7A, 0xC197F4D3, - 0x90A0FD4E, 0xC0E8B648, - 0x9104A0ED, 0xC03A1368, - 0x91695663, 0xBF8C0DE2, - 0x91CF1CB6, 0xBEDEA765, - 0x9235F2EB, 0xBE31E19B, - 0x929DD805, 0xBD85BE2F, - 0x9306CB04, 0xBCDA3ECA, - 0x9370CAE4, 0xBC2F6513, - 0x93DBD69F, 0xBB8532AF, - 0x9447ED2F, 0xBADBA943, - 0x94B50D87, 0xBA32CA70, - 0x9523369B, 0xB98A97D8, - 0x9592675B, 0xB8E31319, - 0x96029EB5, 0xB83C3DD1, - 0x9673DB94, 0xB796199B, - 0x96E61CDF, 0xB6F0A811, - 0x9759617E, 0xB64BEACC, - 0x97CDA855, 0xB5A7E362, - 0x9842F043, 0xB5049368, - 0x98B93828, 0xB461FC70, - 0x99307EE0, 0xB3C0200C, - 0x99A8C344, 0xB31EFFCB, - 0x9A22042C, 0xB27E9D3B, - 0x9A9C406D, 0xB1DEF9E8, - 0x9B1776D9, 0xB140175B, - 0x9B93A640, 0xB0A1F71C, - 0x9C10CD70, 0xB0049AB2, - 0x9C8EEB33, 0xAF6803A1, - 0x9D0DFE53, 0xAECC336B, - 0x9D8E0596, 0xAE312B91, - 0x9E0EFFC1, 0xAD96ED91, - 0x9E90EB94, 0xACFD7AE8, - 0x9F13C7D0, 0xAC64D510, - 0x9F979331, 0xABCCFD82, - 0xA01C4C72, 0xAB35F5B5, - 0xA0A1F24C, 0xAA9FBF1D, - 0xA1288376, 0xAA0A5B2D, - 0xA1AFFEA2, 0xA975CB56, - 0xA2386283, 0xA8E21106, - 0xA2C1ADC9, 0xA84F2DA9, - 0xA34BDF20, 0xA7BD22AB, - 0xA3D6F533, 0xA72BF173, - 0xA462EEAC, 0xA69B9B68, - 0xA4EFCA31, 0xA60C21ED, - 0xA57D8666, 0xA57D8666, - 0xA60C21ED, 0xA4EFCA31, - 0xA69B9B68, 0xA462EEAC, - 0xA72BF173, 0xA3D6F533, - 0xA7BD22AB, 0xA34BDF20, - 0xA84F2DA9, 0xA2C1ADC9, - 0xA8E21106, 0xA2386283, - 0xA975CB56, 0xA1AFFEA2, - 0xAA0A5B2D, 0xA1288376, - 0xAA9FBF1D, 0xA0A1F24C, - 0xAB35F5B5, 0xA01C4C72, - 0xABCCFD82, 0x9F979331, - 0xAC64D510, 0x9F13C7D0, - 0xACFD7AE8, 0x9E90EB94, - 0xAD96ED91, 0x9E0EFFC1, - 0xAE312B91, 0x9D8E0596, - 0xAECC336B, 0x9D0DFE53, - 0xAF6803A1, 0x9C8EEB33, - 0xB0049AB2, 0x9C10CD70, - 0xB0A1F71C, 0x9B93A640, - 0xB140175B, 0x9B1776D9, - 0xB1DEF9E8, 0x9A9C406D, - 0xB27E9D3B, 0x9A22042C, - 0xB31EFFCB, 0x99A8C344, - 0xB3C0200C, 0x99307EE0, - 0xB461FC70, 0x98B93828, - 0xB5049368, 0x9842F043, - 0xB5A7E362, 0x97CDA855, - 0xB64BEACC, 0x9759617E, - 0xB6F0A811, 0x96E61CDF, - 0xB796199B, 0x9673DB94, - 0xB83C3DD1, 0x96029EB5, - 0xB8E31319, 0x9592675B, - 0xB98A97D8, 0x9523369B, - 0xBA32CA70, 0x94B50D87, - 0xBADBA943, 0x9447ED2F, - 0xBB8532AF, 0x93DBD69F, - 0xBC2F6513, 0x9370CAE4, - 0xBCDA3ECA, 0x9306CB04, - 0xBD85BE2F, 0x929DD805, - 0xBE31E19B, 0x9235F2EB, - 0xBEDEA765, 0x91CF1CB6, - 0xBF8C0DE2, 0x91695663, - 0xC03A1368, 0x9104A0ED, - 0xC0E8B648, 0x90A0FD4E, - 0xC197F4D3, 0x903E6C7A, - 0xC247CD5A, 0x8FDCEF66, - 0xC2F83E2A, 0x8F7C8701, - 0xC3A9458F, 0x8F1D343A, - 0xC45AE1D7, 0x8EBEF7FB, - 0xC50D1148, 0x8E61D32D, - 0xC5BFD22E, 0x8E05C6B7, - 0xC67322CD, 0x8DAAD37B, - 0xC727016C, 0x8D50FA59, - 0xC7DB6C50, 0x8CF83C30, - 0xC89061BA, 0x8CA099D9, - 0xC945DFEC, 0x8C4A142F, - 0xC9FBE527, 0x8BF4AC05, - 0xCAB26FA9, 0x8BA0622F, - 0xCB697DB0, 0x8B4D377C, - 0xCC210D78, 0x8AFB2CBA, - 0xCCD91D3D, 0x8AAA42B4, - 0xCD91AB38, 0x8A5A7A30, - 0xCE4AB5A2, 0x8A0BD3F5, - 0xCF043AB2, 0x89BE50C3, - 0xCFBE389F, 0x8971F15A, - 0xD078AD9D, 0x8926B677, - 0xD13397E1, 0x88DCA0D3, - 0xD1EEF59E, 0x8893B124, - 0xD2AAC504, 0x884BE820, - 0xD3670445, 0x88054677, - 0xD423B190, 0x87BFCCD7, - 0xD4E0CB14, 0x877B7BEC, - 0xD59E4EFE, 0x8738545E, - 0xD65C3B7B, 0x86F656D3, - 0xD71A8EB5, 0x86B583EE, - 0xD7D946D7, 0x8675DC4E, - 0xD898620C, 0x86376092, - 0xD957DE7A, 0x85FA1152, - 0xDA17BA4A, 0x85BDEF27, - 0xDAD7F3A2, 0x8582FAA4, - 0xDB9888A8, 0x8549345C, - 0xDC597781, 0x85109CDC, - 0xDD1ABE51, 0x84D934B0, - 0xDDDC5B3A, 0x84A2FC62, - 0xDE9E4C60, 0x846DF476, - 0xDF608FE3, 0x843A1D70, - 0xE02323E5, 0x840777CF, - 0xE0E60684, 0x83D60411, - 0xE1A935E1, 0x83A5C2B0, - 0xE26CB01A, 0x8376B422, - 0xE330734C, 0x8348D8DB, - 0xE3F47D95, 0x831C314E, - 0xE4B8CD10, 0x82F0BDE8, - 0xE57D5FDA, 0x82C67F13, - 0xE642340D, 0x829D753A, - 0xE70747C3, 0x8275A0C0, - 0xE7CC9917, 0x824F0208, - 0xE8922621, 0x82299971, - 0xE957ECFB, 0x82056758, - 0xEA1DEBBB, 0x81E26C16, - 0xEAE4207A, 0x81C0A801, - 0xEBAA894E, 0x81A01B6C, - 0xEC71244F, 0x8180C6A9, - 0xED37EF91, 0x8162AA03, - 0xEDFEE92B, 0x8145C5C6, - 0xEEC60F31, 0x812A1A39, - 0xEF8D5FB8, 0x810FA7A0, - 0xF054D8D4, 0x80F66E3C, - 0xF11C789A, 0x80DE6E4C, - 0xF1E43D1C, 0x80C7A80A, - 0xF2AC246D, 0x80B21BAF, - 0xF3742CA1, 0x809DC970, - 0xF43C53CA, 0x808AB180, - 0xF50497FA, 0x8078D40D, - 0xF5CCF743, 0x80683143, - 0xF6956FB6, 0x8058C94C, - 0xF75DFF65, 0x804A9C4D, - 0xF826A461, 0x803DAA69, - 0xF8EF5CBB, 0x8031F3C1, - 0xF9B82683, 0x80277872, - 0xFA80FFCB, 0x801E3894, - 0xFB49E6A2, 0x80163440, - 0xFC12D919, 0x800F6B88, - 0xFCDBD541, 0x8009DE7D, - 0xFDA4D928, 0x80058D2E, - 0xFE6DE2E0, 0x800277A5, - 0xFF36F078, 0x80009DE9 -}; - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 2048 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ -const q31_t twiddleCoef_2048_q31[3072] = { - 0x7FFFFFFF, 0x00000000, - 0x7FFFD885, 0x006487E3, - 0x7FFF6216, 0x00C90F88, - 0x7FFE9CB2, 0x012D96B0, - 0x7FFD885A, 0x01921D1F, - 0x7FFC250F, 0x01F6A296, - 0x7FFA72D1, 0x025B26D7, - 0x7FF871A1, 0x02BFA9A4, - 0x7FF62182, 0x03242ABF, - 0x7FF38273, 0x0388A9E9, - 0x7FF09477, 0x03ED26E6, - 0x7FED5790, 0x0451A176, - 0x7FE9CBC0, 0x04B6195D, - 0x7FE5F108, 0x051A8E5C, - 0x7FE1C76B, 0x057F0034, - 0x7FDD4EEC, 0x05E36EA9, - 0x7FD8878D, 0x0647D97C, - 0x7FD37152, 0x06AC406F, - 0x7FCE0C3E, 0x0710A344, - 0x7FC85853, 0x077501BE, - 0x7FC25596, 0x07D95B9E, - 0x7FBC040A, 0x083DB0A7, - 0x7FB563B2, 0x08A2009A, - 0x7FAE7494, 0x09064B3A, - 0x7FA736B4, 0x096A9049, - 0x7F9FAA15, 0x09CECF89, - 0x7F97CEBC, 0x0A3308BC, - 0x7F8FA4AF, 0x0A973BA5, - 0x7F872BF3, 0x0AFB6805, - 0x7F7E648B, 0x0B5F8D9F, - 0x7F754E7F, 0x0BC3AC35, - 0x7F6BE9D4, 0x0C27C389, - 0x7F62368F, 0x0C8BD35E, - 0x7F5834B6, 0x0CEFDB75, - 0x7F4DE450, 0x0D53DB92, - 0x7F434563, 0x0DB7D376, - 0x7F3857F5, 0x0E1BC2E3, - 0x7F2D1C0E, 0x0E7FA99D, - 0x7F2191B4, 0x0EE38765, - 0x7F15B8EE, 0x0F475BFE, - 0x7F0991C3, 0x0FAB272B, - 0x7EFD1C3C, 0x100EE8AD, - 0x7EF0585F, 0x1072A047, - 0x7EE34635, 0x10D64DBC, - 0x7ED5E5C6, 0x1139F0CE, - 0x7EC8371A, 0x119D8940, - 0x7EBA3A39, 0x120116D4, - 0x7EABEF2C, 0x1264994E, - 0x7E9D55FC, 0x12C8106E, - 0x7E8E6EB1, 0x132B7BF9, - 0x7E7F3956, 0x138EDBB0, - 0x7E6FB5F3, 0x13F22F57, - 0x7E5FE493, 0x145576B1, - 0x7E4FC53E, 0x14B8B17F, - 0x7E3F57FE, 0x151BDF85, - 0x7E2E9CDF, 0x157F0086, - 0x7E1D93E9, 0x15E21444, - 0x7E0C3D29, 0x16451A83, - 0x7DFA98A7, 0x16A81305, - 0x7DE8A670, 0x170AFD8D, - 0x7DD6668E, 0x176DD9DE, - 0x7DC3D90D, 0x17D0A7BB, - 0x7DB0FDF7, 0x183366E8, - 0x7D9DD55A, 0x18961727, - 0x7D8A5F3F, 0x18F8B83C, - 0x7D769BB5, 0x195B49E9, - 0x7D628AC5, 0x19BDCBF2, - 0x7D4E2C7E, 0x1A203E1B, - 0x7D3980EC, 0x1A82A025, - 0x7D24881A, 0x1AE4F1D6, - 0x7D0F4218, 0x1B4732EF, - 0x7CF9AEF0, 0x1BA96334, - 0x7CE3CEB1, 0x1C0B826A, - 0x7CCDA168, 0x1C6D9053, - 0x7CB72724, 0x1CCF8CB3, - 0x7CA05FF1, 0x1D31774D, - 0x7C894BDD, 0x1D934FE5, - 0x7C71EAF8, 0x1DF5163F, - 0x7C5A3D4F, 0x1E56CA1E, - 0x7C4242F2, 0x1EB86B46, - 0x7C29FBEE, 0x1F19F97B, - 0x7C116853, 0x1F7B7480, - 0x7BF88830, 0x1FDCDC1A, - 0x7BDF5B94, 0x203E300D, - 0x7BC5E28F, 0x209F701C, - 0x7BAC1D31, 0x21009C0B, - 0x7B920B89, 0x2161B39F, - 0x7B77ADA8, 0x21C2B69C, - 0x7B5D039D, 0x2223A4C5, - 0x7B420D7A, 0x22847DDF, - 0x7B26CB4F, 0x22E541AE, - 0x7B0B3D2C, 0x2345EFF7, - 0x7AEF6323, 0x23A6887E, - 0x7AD33D45, 0x24070B07, - 0x7AB6CBA3, 0x24677757, - 0x7A9A0E4F, 0x24C7CD32, - 0x7A7D055B, 0x25280C5D, - 0x7A5FB0D8, 0x2588349D, - 0x7A4210D8, 0x25E845B5, - 0x7A24256E, 0x26483F6C, - 0x7A05EEAD, 0x26A82185, - 0x79E76CA6, 0x2707EBC6, - 0x79C89F6D, 0x27679DF4, - 0x79A98715, 0x27C737D2, - 0x798A23B1, 0x2826B928, - 0x796A7554, 0x288621B9, - 0x794A7C11, 0x28E5714A, - 0x792A37FE, 0x2944A7A2, - 0x7909A92C, 0x29A3C484, - 0x78E8CFB1, 0x2A02C7B8, - 0x78C7ABA1, 0x2A61B101, - 0x78A63D10, 0x2AC08025, - 0x78848413, 0x2B1F34EB, - 0x786280BF, 0x2B7DCF17, - 0x78403328, 0x2BDC4E6F, - 0x781D9B64, 0x2C3AB2B9, - 0x77FAB988, 0x2C98FBBA, - 0x77D78DAA, 0x2CF72939, - 0x77B417DF, 0x2D553AFB, - 0x7790583D, 0x2DB330C7, - 0x776C4EDB, 0x2E110A62, - 0x7747FBCE, 0x2E6EC792, - 0x77235F2D, 0x2ECC681E, - 0x76FE790E, 0x2F29EBCC, - 0x76D94988, 0x2F875262, - 0x76B3D0B3, 0x2FE49BA6, - 0x768E0EA5, 0x3041C760, - 0x76680376, 0x309ED555, - 0x7641AF3C, 0x30FBC54D, - 0x761B1211, 0x3158970D, - 0x75F42C0A, 0x31B54A5D, - 0x75CCFD42, 0x3211DF03, - 0x75A585CF, 0x326E54C7, - 0x757DC5CA, 0x32CAAB6F, - 0x7555BD4B, 0x3326E2C2, - 0x752D6C6C, 0x3382FA88, - 0x7504D345, 0x33DEF287, - 0x74DBF1EF, 0x343ACA87, - 0x74B2C883, 0x3496824F, - 0x7489571B, 0x34F219A7, - 0x745F9DD1, 0x354D9056, - 0x74359CBD, 0x35A8E624, - 0x740B53FA, 0x36041AD9, - 0x73E0C3A3, 0x365F2E3B, - 0x73B5EBD0, 0x36BA2013, - 0x738ACC9E, 0x3714F02A, - 0x735F6626, 0x376F9E46, - 0x7333B883, 0x37CA2A30, - 0x7307C3D0, 0x382493B0, - 0x72DB8828, 0x387EDA8E, - 0x72AF05A6, 0x38D8FE93, - 0x72823C66, 0x3932FF87, - 0x72552C84, 0x398CDD32, - 0x7227D61C, 0x39E6975D, - 0x71FA3948, 0x3A402DD1, - 0x71CC5626, 0x3A99A057, - 0x719E2CD2, 0x3AF2EEB7, - 0x716FBD68, 0x3B4C18BA, - 0x71410804, 0x3BA51E29, - 0x71120CC5, 0x3BFDFECD, - 0x70E2CBC6, 0x3C56BA70, - 0x70B34524, 0x3CAF50DA, - 0x708378FE, 0x3D07C1D5, - 0x70536771, 0x3D600D2B, - 0x70231099, 0x3DB832A5, - 0x6FF27496, 0x3E10320D, - 0x6FC19385, 0x3E680B2C, - 0x6F906D84, 0x3EBFBDCC, - 0x6F5F02B1, 0x3F1749B7, - 0x6F2D532C, 0x3F6EAEB8, - 0x6EFB5F12, 0x3FC5EC97, - 0x6EC92682, 0x401D0320, - 0x6E96A99C, 0x4073F21D, - 0x6E63E87F, 0x40CAB957, - 0x6E30E349, 0x4121589A, - 0x6DFD9A1B, 0x4177CFB0, - 0x6DCA0D14, 0x41CE1E64, - 0x6D963C54, 0x42244480, - 0x6D6227FA, 0x427A41D0, - 0x6D2DD027, 0x42D0161E, - 0x6CF934FB, 0x4325C135, - 0x6CC45697, 0x437B42E1, - 0x6C8F351C, 0x43D09AEC, - 0x6C59D0A9, 0x4425C923, - 0x6C242960, 0x447ACD50, - 0x6BEE3F62, 0x44CFA73F, - 0x6BB812D0, 0x452456BC, - 0x6B81A3CD, 0x4578DB93, - 0x6B4AF278, 0x45CD358F, - 0x6B13FEF5, 0x4621647C, - 0x6ADCC964, 0x46756827, - 0x6AA551E8, 0x46C9405C, - 0x6A6D98A4, 0x471CECE6, - 0x6A359DB9, 0x47706D93, - 0x69FD614A, 0x47C3C22E, - 0x69C4E37A, 0x4816EA85, - 0x698C246C, 0x4869E664, - 0x69532442, 0x48BCB598, - 0x6919E320, 0x490F57EE, - 0x68E06129, 0x4961CD32, - 0x68A69E81, 0x49B41533, - 0x686C9B4B, 0x4A062FBD, - 0x683257AA, 0x4A581C9D, - 0x67F7D3C4, 0x4AA9DBA1, - 0x67BD0FBC, 0x4AFB6C97, - 0x67820BB6, 0x4B4CCF4D, - 0x6746C7D7, 0x4B9E038F, - 0x670B4443, 0x4BEF092D, - 0x66CF811F, 0x4C3FDFF3, - 0x66937E90, 0x4C9087B1, - 0x66573CBB, 0x4CE10034, - 0x661ABBC5, 0x4D31494B, - 0x65DDFBD3, 0x4D8162C4, - 0x65A0FD0B, 0x4DD14C6E, - 0x6563BF92, 0x4E210617, - 0x6526438E, 0x4E708F8F, - 0x64E88926, 0x4EBFE8A4, - 0x64AA907F, 0x4F0F1126, - 0x646C59BF, 0x4F5E08E3, - 0x642DE50D, 0x4FACCFAB, - 0x63EF328F, 0x4FFB654D, - 0x63B0426D, 0x5049C999, - 0x637114CC, 0x5097FC5E, - 0x6331A9D4, 0x50E5FD6C, - 0x62F201AC, 0x5133CC94, - 0x62B21C7B, 0x518169A4, - 0x6271FA69, 0x51CED46E, - 0x62319B9D, 0x521C0CC1, - 0x61F1003E, 0x5269126E, - 0x61B02876, 0x52B5E545, - 0x616F146B, 0x53028517, - 0x612DC446, 0x534EF1B5, - 0x60EC3830, 0x539B2AEF, - 0x60AA704F, 0x53E73097, - 0x60686CCE, 0x5433027D, - 0x60262DD5, 0x547EA073, - 0x5FE3B38D, 0x54CA0A4A, - 0x5FA0FE1E, 0x55153FD4, - 0x5F5E0DB3, 0x556040E2, - 0x5F1AE273, 0x55AB0D46, - 0x5ED77C89, 0x55F5A4D2, - 0x5E93DC1F, 0x56400757, - 0x5E50015D, 0x568A34A9, - 0x5E0BEC6E, 0x56D42C99, - 0x5DC79D7C, 0x571DEEF9, - 0x5D8314B0, 0x57677B9D, - 0x5D3E5236, 0x57B0D256, - 0x5CF95638, 0x57F9F2F7, - 0x5CB420DF, 0x5842DD54, - 0x5C6EB258, 0x588B913F, - 0x5C290ACC, 0x58D40E8C, - 0x5BE32A67, 0x591C550E, - 0x5B9D1153, 0x59646497, - 0x5B56BFBD, 0x59AC3CFD, - 0x5B1035CF, 0x59F3DE12, - 0x5AC973B4, 0x5A3B47AA, - 0x5A82799A, 0x5A82799A, - 0x5A3B47AA, 0x5AC973B4, - 0x59F3DE12, 0x5B1035CF, - 0x59AC3CFD, 0x5B56BFBD, - 0x59646497, 0x5B9D1153, - 0x591C550E, 0x5BE32A67, - 0x58D40E8C, 0x5C290ACC, - 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0x8217598F, 0x170AFD8D, - 0x82056758, 0x16A81305, - 0x81F3C2D7, 0x16451A83, - 0x81E26C16, 0x15E21444, - 0x81D16320, 0x157F0086, - 0x81C0A801, 0x151BDF85, - 0x81B03AC1, 0x14B8B17F, - 0x81A01B6C, 0x145576B1, - 0x81904A0C, 0x13F22F57, - 0x8180C6A9, 0x138EDBB0, - 0x8171914E, 0x132B7BF9, - 0x8162AA03, 0x12C8106E, - 0x815410D3, 0x1264994E, - 0x8145C5C6, 0x120116D4, - 0x8137C8E6, 0x119D8940, - 0x812A1A39, 0x1139F0CE, - 0x811CB9CA, 0x10D64DBC, - 0x810FA7A0, 0x1072A047, - 0x8102E3C3, 0x100EE8AD, - 0x80F66E3C, 0x0FAB272B, - 0x80EA4712, 0x0F475BFE, - 0x80DE6E4C, 0x0EE38765, - 0x80D2E3F1, 0x0E7FA99D, - 0x80C7A80A, 0x0E1BC2E3, - 0x80BCBA9C, 0x0DB7D376, - 0x80B21BAF, 0x0D53DB92, - 0x80A7CB49, 0x0CEFDB75, - 0x809DC970, 0x0C8BD35E, - 0x8094162B, 0x0C27C389, - 0x808AB180, 0x0BC3AC35, - 0x80819B74, 0x0B5F8D9F, - 0x8078D40D, 0x0AFB6805, - 0x80705B50, 0x0A973BA5, - 0x80683143, 0x0A3308BC, - 0x806055EA, 0x09CECF89, - 0x8058C94C, 0x096A9049, - 0x80518B6B, 0x09064B3A, - 0x804A9C4D, 0x08A2009A, - 0x8043FBF6, 0x083DB0A7, - 0x803DAA69, 0x07D95B9E, - 0x8037A7AC, 0x077501BE, - 0x8031F3C1, 0x0710A344, - 0x802C8EAD, 0x06AC406F, - 0x80277872, 0x0647D97C, - 0x8022B113, 0x05E36EA9, - 0x801E3894, 0x057F0034, - 0x801A0EF7, 0x051A8E5C, - 0x80163440, 0x04B6195D, - 0x8012A86F, 0x0451A176, - 0x800F6B88, 0x03ED26E6, - 0x800C7D8C, 0x0388A9E9, - 0x8009DE7D, 0x03242ABF, - 0x80078E5E, 0x02BFA9A4, - 0x80058D2E, 0x025B26D7, - 0x8003DAF0, 0x01F6A296, - 0x800277A5, 0x01921D1F, - 0x8001634D, 0x012D96B0, - 0x80009DE9, 0x00C90F88, - 0x8000277A, 0x006487E3, - 0x80000000, 0x00000000, - 0x8000277A, 0xFF9B781D, - 0x80009DE9, 0xFF36F078, - 0x8001634D, 0xFED2694F, - 0x800277A5, 0xFE6DE2E0, - 0x8003DAF0, 0xFE095D69, - 0x80058D2E, 0xFDA4D928, - 0x80078E5E, 0xFD40565B, - 0x8009DE7D, 0xFCDBD541, - 0x800C7D8C, 0xFC775616, - 0x800F6B88, 0xFC12D919, - 0x8012A86F, 0xFBAE5E89, - 0x80163440, 0xFB49E6A2, - 0x801A0EF7, 0xFAE571A4, - 0x801E3894, 0xFA80FFCB, - 0x8022B113, 0xFA1C9156, - 0x80277872, 0xF9B82683, - 0x802C8EAD, 0xF953BF90, - 0x8031F3C1, 0xF8EF5CBB, - 0x8037A7AC, 0xF88AFE41, - 0x803DAA69, 0xF826A461, - 0x8043FBF6, 0xF7C24F58, - 0x804A9C4D, 0xF75DFF65, - 0x80518B6B, 0xF6F9B4C5, - 0x8058C94C, 0xF6956FB6, - 0x806055EA, 0xF6313076, - 0x80683143, 0xF5CCF743, - 0x80705B50, 0xF568C45A, - 0x8078D40D, 0xF50497FA, - 0x80819B74, 0xF4A07260, - 0x808AB180, 0xF43C53CA, - 0x8094162B, 0xF3D83C76, - 0x809DC970, 0xF3742CA1, - 0x80A7CB49, 0xF310248A, - 0x80B21BAF, 0xF2AC246D, - 0x80BCBA9C, 0xF2482C89, - 0x80C7A80A, 0xF1E43D1C, - 0x80D2E3F1, 0xF1805662, - 0x80DE6E4C, 0xF11C789A, - 0x80EA4712, 0xF0B8A401, - 0x80F66E3C, 0xF054D8D4, - 0x8102E3C3, 0xEFF11752, - 0x810FA7A0, 0xEF8D5FB8, - 0x811CB9CA, 0xEF29B243, - 0x812A1A39, 0xEEC60F31, - 0x8137C8E6, 0xEE6276BF, - 0x8145C5C6, 0xEDFEE92B, - 0x815410D3, 0xED9B66B2, - 0x8162AA03, 0xED37EF91, - 0x8171914E, 0xECD48406, - 0x8180C6A9, 0xEC71244F, - 0x81904A0C, 0xEC0DD0A8, - 0x81A01B6C, 0xEBAA894E, - 0x81B03AC1, 0xEB474E80, - 0x81C0A801, 0xEAE4207A, - 0x81D16320, 0xEA80FF79, - 0x81E26C16, 0xEA1DEBBB, - 0x81F3C2D7, 0xE9BAE57C, - 0x82056758, 0xE957ECFB, - 0x8217598F, 0xE8F50273, - 0x82299971, 0xE8922621, - 0x823C26F2, 0xE82F5844, - 0x824F0208, 0xE7CC9917, - 0x82622AA5, 0xE769E8D8, - 0x8275A0C0, 0xE70747C3, - 0x8289644A, 0xE6A4B616, - 0x829D753A, 0xE642340D, - 0x82B1D381, 0xE5DFC1E4, - 0x82C67F13, 0xE57D5FDA, - 0x82DB77E5, 0xE51B0E2A, - 0x82F0BDE8, 0xE4B8CD10, - 0x8306510F, 0xE4569CCB, - 0x831C314E, 0xE3F47D95, - 0x83325E97, 0xE3926FAC, - 0x8348D8DB, 0xE330734C, - 0x835FA00E, 0xE2CE88B2, - 0x8376B422, 0xE26CB01A, - 0x838E1507, 0xE20AE9C1, - 0x83A5C2B0, 0xE1A935E1, - 0x83BDBD0D, 0xE14794B9, - 0x83D60411, 0xE0E60684, - 0x83EE97AC, 0xE0848B7F, - 0x840777CF, 0xE02323E5, - 0x8420A46B, 0xDFC1CFF2, - 0x843A1D70, 0xDF608FE3, - 0x8453E2CE, 0xDEFF63F4, - 0x846DF476, 0xDE9E4C60, - 0x84885257, 0xDE3D4963, - 0x84A2FC62, 0xDDDC5B3A, - 0x84BDF285, 0xDD7B8220, - 0x84D934B0, 0xDD1ABE51, - 0x84F4C2D3, 0xDCBA1008, - 0x85109CDC, 0xDC597781, - 0x852CC2BA, 0xDBF8F4F8, - 0x8549345C, 0xDB9888A8, - 0x8565F1B0, 0xDB3832CD, - 0x8582FAA4, 0xDAD7F3A2, - 0x85A04F28, 0xDA77CB62, - 0x85BDEF27, 0xDA17BA4A, - 0x85DBDA91, 0xD9B7C093, - 0x85FA1152, 0xD957DE7A, - 0x86189359, 0xD8F81439, - 0x86376092, 0xD898620C, - 0x865678EA, 0xD838C82D, - 0x8675DC4E, 0xD7D946D7, - 0x86958AAB, 0xD779DE46, - 0x86B583EE, 0xD71A8EB5, - 0x86D5C802, 0xD6BB585D, - 0x86F656D3, 0xD65C3B7B, - 0x8717304E, 0xD5FD3847, - 0x8738545E, 0xD59E4EFE, - 0x8759C2EF, 0xD53F7FDA, - 0x877B7BEC, 0xD4E0CB14, - 0x879D7F40, 0xD48230E8, - 0x87BFCCD7, 0xD423B190, - 0x87E2649B, 0xD3C54D46, - 0x88054677, 0xD3670445, - 0x88287255, 0xD308D6C6, - 0x884BE820, 0xD2AAC504, - 0x886FA7C2, 0xD24CCF38, - 0x8893B124, 0xD1EEF59E, - 0x88B80431, 0xD191386D, - 0x88DCA0D3, 0xD13397E1, - 0x890186F1, 0xD0D61433, - 0x8926B677, 0xD078AD9D, - 0x894C2F4C, 0xD01B6459, - 0x8971F15A, 0xCFBE389F, - 0x8997FC89, 0xCF612AAA, - 0x89BE50C3, 0xCF043AB2, - 0x89E4EDEE, 0xCEA768F2, - 0x8A0BD3F5, 0xCE4AB5A2, - 0x8A3302BD, 0xCDEE20FC, - 0x8A5A7A30, 0xCD91AB38, - 0x8A823A35, 0xCD355490, - 0x8AAA42B4, 0xCCD91D3D, - 0x8AD29393, 0xCC7D0577, - 0x8AFB2CBA, 0xCC210D78, - 0x8B240E10, 0xCBC53578, - 0x8B4D377C, 0xCB697DB0, - 0x8B76A8E4, 0xCB0DE658, - 0x8BA0622F, 0xCAB26FA9, - 0x8BCA6342, 0xCA5719DB, - 0x8BF4AC05, 0xC9FBE527, - 0x8C1F3C5C, 0xC9A0D1C4, - 0x8C4A142F, 0xC945DFEC, - 0x8C753361, 0xC8EB0FD6, - 0x8CA099D9, 0xC89061BA, - 0x8CCC477D, 0xC835D5D0, - 0x8CF83C30, 0xC7DB6C50, - 0x8D2477D8, 0xC7812571, - 0x8D50FA59, 0xC727016C, - 0x8D7DC399, 0xC6CD0079, - 0x8DAAD37B, 0xC67322CD, - 0x8DD829E4, 0xC61968A2, - 0x8E05C6B7, 0xC5BFD22E, - 0x8E33A9D9, 0xC5665FA8, - 0x8E61D32D, 0xC50D1148, - 0x8E904298, 0xC4B3E746, - 0x8EBEF7FB, 0xC45AE1D7, - 0x8EEDF33B, 0xC4020132, - 0x8F1D343A, 0xC3A9458F, - 0x8F4CBADB, 0xC350AF25, - 0x8F7C8701, 0xC2F83E2A, - 0x8FAC988E, 0xC29FF2D4, - 0x8FDCEF66, 0xC247CD5A, - 0x900D8B69, 0xC1EFCDF2, - 0x903E6C7A, 0xC197F4D3, - 0x906F927B, 0xC1404233, - 0x90A0FD4E, 0xC0E8B648, - 0x90D2ACD3, 0xC0915147, - 0x9104A0ED, 0xC03A1368, - 0x9136D97D, 0xBFE2FCDF, - 0x91695663, 0xBF8C0DE2, - 0x919C1780, 0xBF3546A8, - 0x91CF1CB6, 0xBEDEA765, - 0x920265E4, 0xBE88304F, - 0x9235F2EB, 0xBE31E19B, - 0x9269C3AC, 0xBDDBBB7F, - 0x929DD805, 0xBD85BE2F, - 0x92D22FD8, 0xBD2FE9E1, - 0x9306CB04, 0xBCDA3ECA, - 0x933BA968, 0xBC84BD1E, - 0x9370CAE4, 0xBC2F6513, - 0x93A62F56, 0xBBDA36DC, - 0x93DBD69F, 0xBB8532AF, - 0x9411C09D, 0xBB3058C0, - 0x9447ED2F, 0xBADBA943, - 0x947E5C32, 0xBA87246C, - 0x94B50D87, 0xBA32CA70, - 0x94EC010B, 0xB9DE9B83, - 0x9523369B, 0xB98A97D8, - 0x955AAE17, 0xB936BFA3, - 0x9592675B, 0xB8E31319, - 0x95CA6246, 0xB88F926C, - 0x96029EB5, 0xB83C3DD1, - 0x963B1C85, 0xB7E9157A, - 0x9673DB94, 0xB796199B, - 0x96ACDBBD, 0xB7434A67, - 0x96E61CDF, 0xB6F0A811, - 0x971F9ED6, 0xB69E32CD, - 0x9759617E, 0xB64BEACC, - 0x979364B5, 0xB5F9D042, - 0x97CDA855, 0xB5A7E362, - 0x98082C3B, 0xB556245E, - 0x9842F043, 0xB5049368, - 0x987DF449, 0xB4B330B2, - 0x98B93828, 0xB461FC70, - 0x98F4BBBC, 0xB410F6D2, - 0x99307EE0, 0xB3C0200C, - 0x996C816F, 0xB36F784E, - 0x99A8C344, 0xB31EFFCB, - 0x99E5443A, 0xB2CEB6B5, - 0x9A22042C, 0xB27E9D3B, - 0x9A5F02F5, 0xB22EB392, - 0x9A9C406D, 0xB1DEF9E8, - 0x9AD9BC71, 0xB18F7070, - 0x9B1776D9, 0xB140175B, - 0x9B556F80, 0xB0F0EEDA, - 0x9B93A640, 0xB0A1F71C, - 0x9BD21AF2, 0xB0533055, - 0x9C10CD70, 0xB0049AB2, - 0x9C4FBD92, 0xAFB63667, - 0x9C8EEB33, 0xAF6803A1, - 0x9CCE562B, 0xAF1A0293, - 0x9D0DFE53, 0xAECC336B, - 0x9D4DE384, 0xAE7E965B, - 0x9D8E0596, 0xAE312B91, - 0x9DCE6462, 0xADE3F33E, - 0x9E0EFFC1, 0xAD96ED91, - 0x9E4FD789, 0xAD4A1ABA, - 0x9E90EB94, 0xACFD7AE8, - 0x9ED23BB9, 0xACB10E4A, - 0x9F13C7D0, 0xAC64D510, - 0x9F558FB0, 0xAC18CF68, - 0x9F979331, 0xABCCFD82, - 0x9FD9D22A, 0xAB815F8C, - 0xA01C4C72, 0xAB35F5B5, - 0xA05F01E1, 0xAAEAC02B, - 0xA0A1F24C, 0xAA9FBF1D, - 0xA0E51D8C, 0xAA54F2B9, - 0xA1288376, 0xAA0A5B2D, - 0xA16C23E1, 0xA9BFF8A8, - 0xA1AFFEA2, 0xA975CB56, - 0xA1F41391, 0xA92BD366, - 0xA2386283, 0xA8E21106, - 0xA27CEB4F, 0xA8988463, - 0xA2C1ADC9, 0xA84F2DA9, - 0xA306A9C7, 0xA8060D08, - 0xA34BDF20, 0xA7BD22AB, - 0xA3914DA7, 0xA7746EC0, - 0xA3D6F533, 0xA72BF173, - 0xA41CD598, 0xA6E3AAF2, - 0xA462EEAC, 0xA69B9B68, - 0xA4A94042, 0xA653C302, - 0xA4EFCA31, 0xA60C21ED, - 0xA5368C4B, 0xA5C4B855, - 0xA57D8666, 0xA57D8666, - 0xA5C4B855, 0xA5368C4B, - 0xA60C21ED, 0xA4EFCA31, - 0xA653C302, 0xA4A94042, - 0xA69B9B68, 0xA462EEAC, - 0xA6E3AAF2, 0xA41CD598, - 0xA72BF173, 0xA3D6F533, - 0xA7746EC0, 0xA3914DA7, - 0xA7BD22AB, 0xA34BDF20, - 0xA8060D08, 0xA306A9C7, - 0xA84F2DA9, 0xA2C1ADC9, - 0xA8988463, 0xA27CEB4F, - 0xA8E21106, 0xA2386283, - 0xA92BD366, 0xA1F41391, - 0xA975CB56, 0xA1AFFEA2, - 0xA9BFF8A8, 0xA16C23E1, - 0xAA0A5B2D, 0xA1288376, - 0xAA54F2B9, 0xA0E51D8C, - 0xAA9FBF1D, 0xA0A1F24C, - 0xAAEAC02B, 0xA05F01E1, - 0xAB35F5B5, 0xA01C4C72, - 0xAB815F8C, 0x9FD9D22A, - 0xABCCFD82, 0x9F979331, - 0xAC18CF68, 0x9F558FB0, - 0xAC64D510, 0x9F13C7D0, - 0xACB10E4A, 0x9ED23BB9, - 0xACFD7AE8, 0x9E90EB94, - 0xAD4A1ABA, 0x9E4FD789, - 0xAD96ED91, 0x9E0EFFC1, - 0xADE3F33E, 0x9DCE6462, - 0xAE312B91, 0x9D8E0596, - 0xAE7E965B, 0x9D4DE384, - 0xAECC336B, 0x9D0DFE53, - 0xAF1A0293, 0x9CCE562B, - 0xAF6803A1, 0x9C8EEB33, - 0xAFB63667, 0x9C4FBD92, - 0xB0049AB2, 0x9C10CD70, - 0xB0533055, 0x9BD21AF2, - 0xB0A1F71C, 0x9B93A640, - 0xB0F0EEDA, 0x9B556F80, - 0xB140175B, 0x9B1776D9, - 0xB18F7070, 0x9AD9BC71, - 0xB1DEF9E8, 0x9A9C406D, - 0xB22EB392, 0x9A5F02F5, - 0xB27E9D3B, 0x9A22042C, - 0xB2CEB6B5, 0x99E5443A, - 0xB31EFFCB, 0x99A8C344, - 0xB36F784E, 0x996C816F, - 0xB3C0200C, 0x99307EE0, - 0xB410F6D2, 0x98F4BBBC, - 0xB461FC70, 0x98B93828, - 0xB4B330B2, 0x987DF449, - 0xB5049368, 0x9842F043, - 0xB556245E, 0x98082C3B, - 0xB5A7E362, 0x97CDA855, - 0xB5F9D042, 0x979364B5, - 0xB64BEACC, 0x9759617E, - 0xB69E32CD, 0x971F9ED6, - 0xB6F0A811, 0x96E61CDF, - 0xB7434A67, 0x96ACDBBD, - 0xB796199B, 0x9673DB94, - 0xB7E9157A, 0x963B1C85, - 0xB83C3DD1, 0x96029EB5, - 0xB88F926C, 0x95CA6246, - 0xB8E31319, 0x9592675B, - 0xB936BFA3, 0x955AAE17, - 0xB98A97D8, 0x9523369B, - 0xB9DE9B83, 0x94EC010B, - 0xBA32CA70, 0x94B50D87, - 0xBA87246C, 0x947E5C32, - 0xBADBA943, 0x9447ED2F, - 0xBB3058C0, 0x9411C09D, - 0xBB8532AF, 0x93DBD69F, - 0xBBDA36DC, 0x93A62F56, - 0xBC2F6513, 0x9370CAE4, - 0xBC84BD1E, 0x933BA968, - 0xBCDA3ECA, 0x9306CB04, - 0xBD2FE9E1, 0x92D22FD8, - 0xBD85BE2F, 0x929DD805, - 0xBDDBBB7F, 0x9269C3AC, - 0xBE31E19B, 0x9235F2EB, - 0xBE88304F, 0x920265E4, - 0xBEDEA765, 0x91CF1CB6, - 0xBF3546A8, 0x919C1780, - 0xBF8C0DE2, 0x91695663, - 0xBFE2FCDF, 0x9136D97D, - 0xC03A1368, 0x9104A0ED, - 0xC0915147, 0x90D2ACD3, - 0xC0E8B648, 0x90A0FD4E, - 0xC1404233, 0x906F927B, - 0xC197F4D3, 0x903E6C7A, - 0xC1EFCDF2, 0x900D8B69, - 0xC247CD5A, 0x8FDCEF66, - 0xC29FF2D4, 0x8FAC988E, - 0xC2F83E2A, 0x8F7C8701, - 0xC350AF25, 0x8F4CBADB, - 0xC3A9458F, 0x8F1D343A, - 0xC4020132, 0x8EEDF33B, - 0xC45AE1D7, 0x8EBEF7FB, - 0xC4B3E746, 0x8E904298, - 0xC50D1148, 0x8E61D32D, - 0xC5665FA8, 0x8E33A9D9, - 0xC5BFD22E, 0x8E05C6B7, - 0xC61968A2, 0x8DD829E4, - 0xC67322CD, 0x8DAAD37B, - 0xC6CD0079, 0x8D7DC399, - 0xC727016C, 0x8D50FA59, - 0xC7812571, 0x8D2477D8, - 0xC7DB6C50, 0x8CF83C30, - 0xC835D5D0, 0x8CCC477D, - 0xC89061BA, 0x8CA099D9, - 0xC8EB0FD6, 0x8C753361, - 0xC945DFEC, 0x8C4A142F, - 0xC9A0D1C4, 0x8C1F3C5C, - 0xC9FBE527, 0x8BF4AC05, - 0xCA5719DB, 0x8BCA6342, - 0xCAB26FA9, 0x8BA0622F, - 0xCB0DE658, 0x8B76A8E4, - 0xCB697DB0, 0x8B4D377C, - 0xCBC53578, 0x8B240E10, - 0xCC210D78, 0x8AFB2CBA, - 0xCC7D0577, 0x8AD29393, - 0xCCD91D3D, 0x8AAA42B4, - 0xCD355490, 0x8A823A35, - 0xCD91AB38, 0x8A5A7A30, - 0xCDEE20FC, 0x8A3302BD, - 0xCE4AB5A2, 0x8A0BD3F5, - 0xCEA768F2, 0x89E4EDEE, - 0xCF043AB2, 0x89BE50C3, - 0xCF612AAA, 0x8997FC89, - 0xCFBE389F, 0x8971F15A, - 0xD01B6459, 0x894C2F4C, - 0xD078AD9D, 0x8926B677, - 0xD0D61433, 0x890186F1, - 0xD13397E1, 0x88DCA0D3, - 0xD191386D, 0x88B80431, - 0xD1EEF59E, 0x8893B124, - 0xD24CCF38, 0x886FA7C2, - 0xD2AAC504, 0x884BE820, - 0xD308D6C6, 0x88287255, - 0xD3670445, 0x88054677, - 0xD3C54D46, 0x87E2649B, - 0xD423B190, 0x87BFCCD7, - 0xD48230E8, 0x879D7F40, - 0xD4E0CB14, 0x877B7BEC, - 0xD53F7FDA, 0x8759C2EF, - 0xD59E4EFE, 0x8738545E, - 0xD5FD3847, 0x8717304E, - 0xD65C3B7B, 0x86F656D3, - 0xD6BB585D, 0x86D5C802, - 0xD71A8EB5, 0x86B583EE, - 0xD779DE46, 0x86958AAB, - 0xD7D946D7, 0x8675DC4E, - 0xD838C82D, 0x865678EA, - 0xD898620C, 0x86376092, - 0xD8F81439, 0x86189359, - 0xD957DE7A, 0x85FA1152, - 0xD9B7C093, 0x85DBDA91, - 0xDA17BA4A, 0x85BDEF27, - 0xDA77CB62, 0x85A04F28, - 0xDAD7F3A2, 0x8582FAA4, - 0xDB3832CD, 0x8565F1B0, - 0xDB9888A8, 0x8549345C, - 0xDBF8F4F8, 0x852CC2BA, - 0xDC597781, 0x85109CDC, - 0xDCBA1008, 0x84F4C2D3, - 0xDD1ABE51, 0x84D934B0, - 0xDD7B8220, 0x84BDF285, - 0xDDDC5B3A, 0x84A2FC62, - 0xDE3D4963, 0x84885257, - 0xDE9E4C60, 0x846DF476, - 0xDEFF63F4, 0x8453E2CE, - 0xDF608FE3, 0x843A1D70, - 0xDFC1CFF2, 0x8420A46B, - 0xE02323E5, 0x840777CF, - 0xE0848B7F, 0x83EE97AC, - 0xE0E60684, 0x83D60411, - 0xE14794B9, 0x83BDBD0D, - 0xE1A935E1, 0x83A5C2B0, - 0xE20AE9C1, 0x838E1507, - 0xE26CB01A, 0x8376B422, - 0xE2CE88B2, 0x835FA00E, - 0xE330734C, 0x8348D8DB, - 0xE3926FAC, 0x83325E97, - 0xE3F47D95, 0x831C314E, - 0xE4569CCB, 0x8306510F, - 0xE4B8CD10, 0x82F0BDE8, - 0xE51B0E2A, 0x82DB77E5, - 0xE57D5FDA, 0x82C67F13, - 0xE5DFC1E4, 0x82B1D381, - 0xE642340D, 0x829D753A, - 0xE6A4B616, 0x8289644A, - 0xE70747C3, 0x8275A0C0, - 0xE769E8D8, 0x82622AA5, - 0xE7CC9917, 0x824F0208, - 0xE82F5844, 0x823C26F2, - 0xE8922621, 0x82299971, - 0xE8F50273, 0x8217598F, - 0xE957ECFB, 0x82056758, - 0xE9BAE57C, 0x81F3C2D7, - 0xEA1DEBBB, 0x81E26C16, - 0xEA80FF79, 0x81D16320, - 0xEAE4207A, 0x81C0A801, - 0xEB474E80, 0x81B03AC1, - 0xEBAA894E, 0x81A01B6C, - 0xEC0DD0A8, 0x81904A0C, - 0xEC71244F, 0x8180C6A9, - 0xECD48406, 0x8171914E, - 0xED37EF91, 0x8162AA03, - 0xED9B66B2, 0x815410D3, - 0xEDFEE92B, 0x8145C5C6, - 0xEE6276BF, 0x8137C8E6, - 0xEEC60F31, 0x812A1A39, - 0xEF29B243, 0x811CB9CA, - 0xEF8D5FB8, 0x810FA7A0, - 0xEFF11752, 0x8102E3C3, - 0xF054D8D4, 0x80F66E3C, - 0xF0B8A401, 0x80EA4712, - 0xF11C789A, 0x80DE6E4C, - 0xF1805662, 0x80D2E3F1, - 0xF1E43D1C, 0x80C7A80A, - 0xF2482C89, 0x80BCBA9C, - 0xF2AC246D, 0x80B21BAF, - 0xF310248A, 0x80A7CB49, - 0xF3742CA1, 0x809DC970, - 0xF3D83C76, 0x8094162B, - 0xF43C53CA, 0x808AB180, - 0xF4A07260, 0x80819B74, - 0xF50497FA, 0x8078D40D, - 0xF568C45A, 0x80705B50, - 0xF5CCF743, 0x80683143, - 0xF6313076, 0x806055EA, - 0xF6956FB6, 0x8058C94C, - 0xF6F9B4C5, 0x80518B6B, - 0xF75DFF65, 0x804A9C4D, - 0xF7C24F58, 0x8043FBF6, - 0xF826A461, 0x803DAA69, - 0xF88AFE41, 0x8037A7AC, - 0xF8EF5CBB, 0x8031F3C1, - 0xF953BF90, 0x802C8EAD, - 0xF9B82683, 0x80277872, - 0xFA1C9156, 0x8022B113, - 0xFA80FFCB, 0x801E3894, - 0xFAE571A4, 0x801A0EF7, - 0xFB49E6A2, 0x80163440, - 0xFBAE5E89, 0x8012A86F, - 0xFC12D919, 0x800F6B88, - 0xFC775616, 0x800C7D8C, - 0xFCDBD541, 0x8009DE7D, - 0xFD40565B, 0x80078E5E, - 0xFDA4D928, 0x80058D2E, - 0xFE095D69, 0x8003DAF0, - 0xFE6DE2E0, 0x800277A5, - 0xFED2694F, 0x8001634D, - 0xFF36F078, 0x80009DE9, - 0xFF9B781D, 0x8000277A -}; - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ -const q31_t twiddleCoef_4096_q31[6144] = -{ - 0x7FFFFFFF, 0x00000000, - 0x7FFFF621, 0x003243F5, - 0x7FFFD885, 0x006487E3, - 0x7FFFA72C, 0x0096CBC1, - 0x7FFF6216, 0x00C90F88, - 0x7FFF0942, 0x00FB532F, - 0x7FFE9CB2, 0x012D96B0, - 0x7FFE1C64, 0x015FDA03, - 0x7FFD885A, 0x01921D1F, - 0x7FFCE093, 0x01C45FFE, - 0x7FFC250F, 0x01F6A296, - 0x7FFB55CE, 0x0228E4E1, - 0x7FFA72D1, 0x025B26D7, - 0x7FF97C17, 0x028D6870, - 0x7FF871A1, 0x02BFA9A4, - 0x7FF7536F, 0x02F1EA6B, - 0x7FF62182, 0x03242ABF, - 0x7FF4DBD8, 0x03566A96, - 0x7FF38273, 0x0388A9E9, - 0x7FF21553, 0x03BAE8B1, - 0x7FF09477, 0x03ED26E6, - 0x7FEEFFE1, 0x041F647F, - 0x7FED5790, 0x0451A176, - 0x7FEB9B85, 0x0483DDC3, - 0x7FE9CBC0, 0x04B6195D, - 0x7FE7E840, 0x04E8543D, - 0x7FE5F108, 0x051A8E5C, - 0x7FE3E616, 0x054CC7B0, - 0x7FE1C76B, 0x057F0034, - 0x7FDF9508, 0x05B137DF, - 0x7FDD4EEC, 0x05E36EA9, - 0x7FDAF518, 0x0615A48A, - 0x7FD8878D, 0x0647D97C, - 0x7FD6064B, 0x067A0D75, - 0x7FD37152, 0x06AC406F, - 0x7FD0C8A3, 0x06DE7261, - 0x7FCE0C3E, 0x0710A344, - 0x7FCB3C23, 0x0742D310, - 0x7FC85853, 0x077501BE, - 0x7FC560CF, 0x07A72F45, - 0x7FC25596, 0x07D95B9E, - 0x7FBF36A9, 0x080B86C1, - 0x7FBC040A, 0x083DB0A7, - 0x7FB8BDB7, 0x086FD947, - 0x7FB563B2, 0x08A2009A, - 0x7FB1F5FC, 0x08D42698, - 0x7FAE7494, 0x09064B3A, - 0x7FAADF7C, 0x09386E77, - 0x7FA736B4, 0x096A9049, - 0x7FA37A3C, 0x099CB0A7, - 0x7F9FAA15, 0x09CECF89, - 0x7F9BC63F, 0x0A00ECE8, - 0x7F97CEBC, 0x0A3308BC, - 0x7F93C38C, 0x0A6522FE, - 0x7F8FA4AF, 0x0A973BA5, - 0x7F8B7226, 0x0AC952AA, - 0x7F872BF3, 0x0AFB6805, - 0x7F82D214, 0x0B2D7BAE, - 0x7F7E648B, 0x0B5F8D9F, - 0x7F79E35A, 0x0B919DCE, - 0x7F754E7F, 0x0BC3AC35, - 0x7F70A5FD, 0x0BF5B8CB, - 0x7F6BE9D4, 0x0C27C389, - 0x7F671A04, 0x0C59CC67, - 0x7F62368F, 0x0C8BD35E, - 0x7F5D3F75, 0x0CBDD865, - 0x7F5834B6, 0x0CEFDB75, - 0x7F531654, 0x0D21DC87, - 0x7F4DE450, 0x0D53DB92, - 0x7F489EAA, 0x0D85D88F, - 0x7F434563, 0x0DB7D376, - 0x7F3DD87C, 0x0DE9CC3F, - 0x7F3857F5, 0x0E1BC2E3, - 0x7F32C3D0, 0x0E4DB75B, - 0x7F2D1C0E, 0x0E7FA99D, - 0x7F2760AF, 0x0EB199A3, - 0x7F2191B4, 0x0EE38765, - 0x7F1BAF1E, 0x0F1572DC, - 0x7F15B8EE, 0x0F475BFE, - 0x7F0FAF24, 0x0F7942C6, - 0x7F0991C3, 0x0FAB272B, - 0x7F0360CB, 0x0FDD0925, - 0x7EFD1C3C, 0x100EE8AD, - 0x7EF6C418, 0x1040C5BB, - 0x7EF0585F, 0x1072A047, - 0x7EE9D913, 0x10A4784A, - 0x7EE34635, 0x10D64DBC, - 0x7EDC9FC6, 0x11082096, - 0x7ED5E5C6, 0x1139F0CE, - 0x7ECF1837, 0x116BBE5F, - 0x7EC8371A, 0x119D8940, - 0x7EC1426F, 0x11CF516A, - 0x7EBA3A39, 0x120116D4, - 0x7EB31E77, 0x1232D978, - 0x7EABEF2C, 0x1264994E, - 0x7EA4AC58, 0x1296564D, - 0x7E9D55FC, 0x12C8106E, - 0x7E95EC19, 0x12F9C7AA, - 0x7E8E6EB1, 0x132B7BF9, - 0x7E86DDC5, 0x135D2D53, - 0x7E7F3956, 0x138EDBB0, - 0x7E778165, 0x13C0870A, - 0x7E6FB5F3, 0x13F22F57, - 0x7E67D702, 0x1423D492, - 0x7E5FE493, 0x145576B1, - 0x7E57DEA6, 0x148715AD, - 0x7E4FC53E, 0x14B8B17F, - 0x7E47985B, 0x14EA4A1F, - 0x7E3F57FE, 0x151BDF85, - 0x7E37042A, 0x154D71AA, - 0x7E2E9CDF, 0x157F0086, - 0x7E26221E, 0x15B08C11, - 0x7E1D93E9, 0x15E21444, - 0x7E14F242, 0x16139917, - 0x7E0C3D29, 0x16451A83, - 0x7E03749F, 0x1676987F, - 0x7DFA98A7, 0x16A81305, - 0x7DF1A942, 0x16D98A0C, - 0x7DE8A670, 0x170AFD8D, - 0x7DDF9034, 0x173C6D80, - 0x7DD6668E, 0x176DD9DE, - 0x7DCD2981, 0x179F429F, - 0x7DC3D90D, 0x17D0A7BB, - 0x7DBA7534, 0x1802092C, - 0x7DB0FDF7, 0x183366E8, - 0x7DA77359, 0x1864C0E9, - 0x7D9DD55A, 0x18961727, - 0x7D9423FB, 0x18C7699B, - 0x7D8A5F3F, 0x18F8B83C, - 0x7D808727, 0x192A0303, - 0x7D769BB5, 0x195B49E9, - 0x7D6C9CE9, 0x198C8CE6, - 0x7D628AC5, 0x19BDCBF2, - 0x7D58654C, 0x19EF0706, - 0x7D4E2C7E, 0x1A203E1B, - 0x7D43E05E, 0x1A517127, - 0x7D3980EC, 0x1A82A025, - 0x7D2F0E2A, 0x1AB3CB0C, - 0x7D24881A, 0x1AE4F1D6, - 0x7D19EEBE, 0x1B161479, - 0x7D0F4218, 0x1B4732EF, - 0x7D048228, 0x1B784D30, - 0x7CF9AEF0, 0x1BA96334, - 0x7CEEC873, 0x1BDA74F5, - 0x7CE3CEB1, 0x1C0B826A, - 0x7CD8C1AD, 0x1C3C8B8C, - 0x7CCDA168, 0x1C6D9053, - 0x7CC26DE5, 0x1C9E90B8, - 0x7CB72724, 0x1CCF8CB3, - 0x7CABCD27, 0x1D00843C, - 0x7CA05FF1, 0x1D31774D, - 0x7C94DF82, 0x1D6265DD, - 0x7C894BDD, 0x1D934FE5, - 0x7C7DA504, 0x1DC4355D, - 0x7C71EAF8, 0x1DF5163F, - 0x7C661DBB, 0x1E25F281, - 0x7C5A3D4F, 0x1E56CA1E, - 0x7C4E49B6, 0x1E879D0C, - 0x7C4242F2, 0x1EB86B46, - 0x7C362904, 0x1EE934C2, - 0x7C29FBEE, 0x1F19F97B, - 0x7C1DBBB2, 0x1F4AB967, - 0x7C116853, 0x1F7B7480, - 0x7C0501D1, 0x1FAC2ABF, - 0x7BF88830, 0x1FDCDC1A, - 0x7BEBFB70, 0x200D888C, - 0x7BDF5B94, 0x203E300D, - 0x7BD2A89E, 0x206ED295, - 0x7BC5E28F, 0x209F701C, - 0x7BB9096A, 0x20D0089B, - 0x7BAC1D31, 0x21009C0B, - 0x7B9F1DE5, 0x21312A65, - 0x7B920B89, 0x2161B39F, - 0x7B84E61E, 0x219237B4, - 0x7B77ADA8, 0x21C2B69C, - 0x7B6A6227, 0x21F3304E, - 0x7B5D039D, 0x2223A4C5, - 0x7B4F920E, 0x225413F8, - 0x7B420D7A, 0x22847DDF, - 0x7B3475E4, 0x22B4E274, - 0x7B26CB4F, 0x22E541AE, - 0x7B190DBB, 0x23159B87, - 0x7B0B3D2C, 0x2345EFF7, - 0x7AFD59A3, 0x23763EF7, - 0x7AEF6323, 0x23A6887E, - 0x7AE159AE, 0x23D6CC86, - 0x7AD33D45, 0x24070B07, - 0x7AC50DEB, 0x243743FA, - 0x7AB6CBA3, 0x24677757, - 0x7AA8766E, 0x2497A517, - 0x7A9A0E4F, 0x24C7CD32, - 0x7A8B9348, 0x24F7EFA1, - 0x7A7D055B, 0x25280C5D, - 0x7A6E648A, 0x2558235E, - 0x7A5FB0D8, 0x2588349D, - 0x7A50EA46, 0x25B84012, - 0x7A4210D8, 0x25E845B5, - 0x7A33248F, 0x26184581, - 0x7A24256E, 0x26483F6C, - 0x7A151377, 0x26783370, - 0x7A05EEAD, 0x26A82185, - 0x79F6B711, 0x26D809A5, - 0x79E76CA6, 0x2707EBC6, - 0x79D80F6F, 0x2737C7E3, - 0x79C89F6D, 0x27679DF4, - 0x79B91CA4, 0x27976DF1, - 0x79A98715, 0x27C737D2, - 0x7999DEC3, 0x27F6FB92, - 0x798A23B1, 0x2826B928, - 0x797A55E0, 0x2856708C, - 0x796A7554, 0x288621B9, - 0x795A820E, 0x28B5CCA5, - 0x794A7C11, 0x28E5714A, - 0x793A6360, 0x29150FA1, - 0x792A37FE, 0x2944A7A2, - 0x7919F9EB, 0x29743945, - 0x7909A92C, 0x29A3C484, - 0x78F945C3, 0x29D34958, - 0x78E8CFB1, 0x2A02C7B8, - 0x78D846FB, 0x2A323F9D, - 0x78C7ABA1, 0x2A61B101, - 0x78B6FDA8, 0x2A911BDB, - 0x78A63D10, 0x2AC08025, - 0x789569DE, 0x2AEFDDD8, - 0x78848413, 0x2B1F34EB, - 0x78738BB3, 0x2B4E8558, - 0x786280BF, 0x2B7DCF17, - 0x7851633B, 0x2BAD1221, - 0x78403328, 0x2BDC4E6F, - 0x782EF08B, 0x2C0B83F9, - 0x781D9B64, 0x2C3AB2B9, - 0x780C33B8, 0x2C69DAA6, - 0x77FAB988, 0x2C98FBBA, - 0x77E92CD8, 0x2CC815ED, - 0x77D78DAA, 0x2CF72939, - 0x77C5DC01, 0x2D263595, - 0x77B417DF, 0x2D553AFB, - 0x77A24148, 0x2D843963, - 0x7790583D, 0x2DB330C7, - 0x777E5CC3, 0x2DE2211E, - 0x776C4EDB, 0x2E110A62, - 0x775A2E88, 0x2E3FEC8B, - 0x7747FBCE, 0x2E6EC792, - 0x7735B6AE, 0x2E9D9B70, - 0x77235F2D, 0x2ECC681E, - 0x7710F54B, 0x2EFB2D94, - 0x76FE790E, 0x2F29EBCC, - 0x76EBEA77, 0x2F58A2BD, - 0x76D94988, 0x2F875262, - 0x76C69646, 0x2FB5FAB2, - 0x76B3D0B3, 0x2FE49BA6, - 0x76A0F8D2, 0x30133538, - 0x768E0EA5, 0x3041C760, - 0x767B1230, 0x30705217, - 0x76680376, 0x309ED555, - 0x7654E279, 0x30CD5114, - 0x7641AF3C, 0x30FBC54D, - 0x762E69C3, 0x312A31F8, - 0x761B1211, 0x3158970D, - 0x7607A827, 0x3186F487, - 0x75F42C0A, 0x31B54A5D, - 0x75E09DBD, 0x31E39889, - 0x75CCFD42, 0x3211DF03, - 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0xFC45174E, 0x7FF21553, - 0xFC12D919, 0x7FF09477, - 0xFBE09B80, 0x7FEEFFE1, - 0xFBAE5E89, 0x7FED5790, - 0xFB7C223C, 0x7FEB9B85, - 0xFB49E6A2, 0x7FE9CBC0, - 0xFB17ABC2, 0x7FE7E840, - 0xFAE571A4, 0x7FE5F108, - 0xFAB3384F, 0x7FE3E616, - 0xFA80FFCB, 0x7FE1C76B, - 0xFA4EC820, 0x7FDF9508, - 0xFA1C9156, 0x7FDD4EEC, - 0xF9EA5B75, 0x7FDAF518, - 0xF9B82683, 0x7FD8878D, - 0xF985F28A, 0x7FD6064B, - 0xF953BF90, 0x7FD37152, - 0xF9218D9E, 0x7FD0C8A3, - 0xF8EF5CBB, 0x7FCE0C3E, - 0xF8BD2CEF, 0x7FCB3C23, - 0xF88AFE41, 0x7FC85853, - 0xF858D0BA, 0x7FC560CF, - 0xF826A461, 0x7FC25596, - 0xF7F4793E, 0x7FBF36A9, - 0xF7C24F58, 0x7FBC040A, - 0xF79026B8, 0x7FB8BDB7, - 0xF75DFF65, 0x7FB563B2, - 0xF72BD967, 0x7FB1F5FC, - 0xF6F9B4C5, 0x7FAE7494, - 0xF6C79188, 0x7FAADF7C, - 0xF6956FB6, 0x7FA736B4, - 0xF6634F58, 0x7FA37A3C, - 0xF6313076, 0x7F9FAA15, - 0xF5FF1317, 0x7F9BC63F, - 0xF5CCF743, 0x7F97CEBC, - 0xF59ADD01, 0x7F93C38C, - 0xF568C45A, 0x7F8FA4AF, - 0xF536AD55, 0x7F8B7226, - 0xF50497FA, 0x7F872BF3, - 0xF4D28451, 0x7F82D214, - 0xF4A07260, 0x7F7E648B, - 0xF46E6231, 0x7F79E35A, - 0xF43C53CA, 0x7F754E7F, - 0xF40A4734, 0x7F70A5FD, - 0xF3D83C76, 0x7F6BE9D4, - 0xF3A63398, 0x7F671A04, - 0xF3742CA1, 0x7F62368F, - 0xF342279A, 0x7F5D3F75, - 0xF310248A, 0x7F5834B6, - 0xF2DE2378, 0x7F531654, - 0xF2AC246D, 0x7F4DE450, - 0xF27A2770, 0x7F489EAA, - 0xF2482C89, 0x7F434563, - 0xF21633C0, 0x7F3DD87C, - 0xF1E43D1C, 0x7F3857F5, - 0xF1B248A5, 0x7F32C3D0, - 0xF1805662, 0x7F2D1C0E, - 0xF14E665C, 0x7F2760AF, - 0xF11C789A, 0x7F2191B4, - 0xF0EA8D23, 0x7F1BAF1E, - 0xF0B8A401, 0x7F15B8EE, - 0xF086BD39, 0x7F0FAF24, - 0xF054D8D4, 0x7F0991C3, - 0xF022F6DA, 0x7F0360CB, - 0xEFF11752, 0x7EFD1C3C, - 0xEFBF3A44, 0x7EF6C418, - 0xEF8D5FB8, 0x7EF0585F, - 0xEF5B87B5, 0x7EE9D913, - 0xEF29B243, 0x7EE34635, - 0xEEF7DF6A, 0x7EDC9FC6, - 0xEEC60F31, 0x7ED5E5C6, - 0xEE9441A0, 0x7ECF1837, - 0xEE6276BF, 0x7EC8371A, - 0xEE30AE95, 0x7EC1426F, - 0xEDFEE92B, 0x7EBA3A39, - 0xEDCD2687, 0x7EB31E77, - 0xED9B66B2, 0x7EABEF2C, - 0xED69A9B2, 0x7EA4AC58, - 0xED37EF91, 0x7E9D55FC, - 0xED063855, 0x7E95EC19, - 0xECD48406, 0x7E8E6EB1, - 0xECA2D2AC, 0x7E86DDC5, - 0xEC71244F, 0x7E7F3956, - 0xEC3F78F5, 0x7E778165, - 0xEC0DD0A8, 0x7E6FB5F3, - 0xEBDC2B6D, 0x7E67D702, - 0xEBAA894E, 0x7E5FE493, - 0xEB78EA52, 0x7E57DEA6, - 0xEB474E80, 0x7E4FC53E, - 0xEB15B5E0, 0x7E47985B, - 0xEAE4207A, 0x7E3F57FE, - 0xEAB28E55, 0x7E37042A, - 0xEA80FF79, 0x7E2E9CDF, - 0xEA4F73EE, 0x7E26221E, - 0xEA1DEBBB, 0x7E1D93E9, - 0xE9EC66E8, 0x7E14F242, - 0xE9BAE57C, 0x7E0C3D29, - 0xE9896780, 0x7E03749F, - 0xE957ECFB, 0x7DFA98A7, - 0xE92675F4, 0x7DF1A942, - 0xE8F50273, 0x7DE8A670, - 0xE8C3927F, 0x7DDF9034, - 0xE8922621, 0x7DD6668E, - 0xE860BD60, 0x7DCD2981, - 0xE82F5844, 0x7DC3D90D, - 0xE7FDF6D3, 0x7DBA7534, - 0xE7CC9917, 0x7DB0FDF7, - 0xE79B3F16, 0x7DA77359, - 0xE769E8D8, 0x7D9DD55A, - 0xE7389664, 0x7D9423FB, - 0xE70747C3, 0x7D8A5F3F, - 0xE6D5FCFC, 0x7D808727, - 0xE6A4B616, 0x7D769BB5, - 0xE6737319, 0x7D6C9CE9, - 0xE642340D, 0x7D628AC5, - 0xE610F8F9, 0x7D58654C, - 0xE5DFC1E4, 0x7D4E2C7E, - 0xE5AE8ED8, 0x7D43E05E, - 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0xABA72806, 0x9FB8AB41, - 0xABCCFD82, 0x9F979331, - 0xABF2DFFA, 0x9F7689FF, - 0xAC18CF68, 0x9F558FB0, - 0xAC3ECBC7, 0x9F34A449, - 0xAC64D510, 0x9F13C7D0, - 0xAC8AEB3E, 0x9EF2FA48, - 0xACB10E4A, 0x9ED23BB9, - 0xACD73E30, 0x9EB18C26, - 0xACFD7AE8, 0x9E90EB94, - 0xAD23C46D, 0x9E705A09, - 0xAD4A1ABA, 0x9E4FD789, - 0xAD707DC8, 0x9E2F641A, - 0xAD96ED91, 0x9E0EFFC1, - 0xADBD6A10, 0x9DEEAA82, - 0xADE3F33E, 0x9DCE6462, - 0xAE0A8916, 0x9DAE2D68, - 0xAE312B91, 0x9D8E0596, - 0xAE57DAAA, 0x9D6DECF4, - 0xAE7E965B, 0x9D4DE384, - 0xAEA55E9D, 0x9D2DE94D, - 0xAECC336B, 0x9D0DFE53, - 0xAEF314BF, 0x9CEE229C, - 0xAF1A0293, 0x9CCE562B, - 0xAF40FCE0, 0x9CAE9907, - 0xAF6803A1, 0x9C8EEB33, - 0xAF8F16D0, 0x9C6F4CB5, - 0xAFB63667, 0x9C4FBD92, - 0xAFDD625F, 0x9C303DCF, - 0xB0049AB2, 0x9C10CD70, - 0xB02BDF5C, 0x9BF16C7A, - 0xB0533055, 0x9BD21AF2, - 0xB07A8D97, 0x9BB2D8DD, - 0xB0A1F71C, 0x9B93A640, - 0xB0C96CDF, 0x9B748320, - 0xB0F0EEDA, 0x9B556F80, - 0xB1187D05, 0x9B366B67, - 0xB140175B, 0x9B1776D9, - 0xB167BDD6, 0x9AF891DB, - 0xB18F7070, 0x9AD9BC71, - 0xB1B72F23, 0x9ABAF6A0, - 0xB1DEF9E8, 0x9A9C406D, - 0xB206D0BA, 0x9A7D99DD, - 0xB22EB392, 0x9A5F02F5, - 0xB256A26A, 0x9A407BB8, - 0xB27E9D3B, 0x9A22042C, - 0xB2A6A401, 0x9A039C56, - 0xB2CEB6B5, 0x99E5443A, - 0xB2F6D54F, 0x99C6FBDE, - 0xB31EFFCB, 0x99A8C344, - 0xB3473622, 0x998A9A73, - 0xB36F784E, 0x996C816F, - 0xB397C649, 0x994E783C, - 0xB3C0200C, 0x99307EE0, - 0xB3E88591, 0x9912955E, - 0xB410F6D2, 0x98F4BBBC, - 0xB43973C9, 0x98D6F1FE, - 0xB461FC70, 0x98B93828, - 0xB48A90C0, 0x989B8E3F, - 0xB4B330B2, 0x987DF449, - 0xB4DBDC42, 0x98606A48, - 0xB5049368, 0x9842F043, - 0xB52D561E, 0x9825863D, - 0xB556245E, 0x98082C3B, - 0xB57EFE21, 0x97EAE241, - 0xB5A7E362, 0x97CDA855, - 0xB5D0D41A, 0x97B07E7A, - 0xB5F9D042, 0x979364B5, - 0xB622D7D5, 0x97765B0A, - 0xB64BEACC, 0x9759617E, - 0xB6750921, 0x973C7816, - 0xB69E32CD, 0x971F9ED6, - 0xB6C767CA, 0x9702D5C2, - 0xB6F0A811, 0x96E61CDF, - 0xB719F39D, 0x96C97431, - 0xB7434A67, 0x96ACDBBD, - 0xB76CAC68, 0x96905387, - 0xB796199B, 0x9673DB94, - 0xB7BF91F8, 0x965773E7, - 0xB7E9157A, 0x963B1C85, - 0xB812A419, 0x961ED573, - 0xB83C3DD1, 0x96029EB5, - 0xB865E299, 0x95E6784F, - 0xB88F926C, 0x95CA6246, - 0xB8B94D44, 0x95AE5C9E, - 0xB8E31319, 0x9592675B, - 0xB90CE3E6, 0x95768282, - 0xB936BFA3, 0x955AAE17, - 0xB960A64B, 0x953EEA1E, - 0xB98A97D8, 0x9523369B, - 0xB9B49442, 0x95079393, - 0xB9DE9B83, 0x94EC010B, - 0xBA08AD94, 0x94D07F05, - 0xBA32CA70, 0x94B50D87, - 0xBA5CF210, 0x9499AC95, - 0xBA87246C, 0x947E5C32, - 0xBAB1617F, 0x94631C64, - 0xBADBA943, 0x9447ED2F, - 0xBB05FBB0, 0x942CCE95, - 0xBB3058C0, 0x9411C09D, - 0xBB5AC06C, 0x93F6C34A, - 0xBB8532AF, 0x93DBD69F, - 0xBBAFAF81, 0x93C0FAA2, - 0xBBDA36DC, 0x93A62F56, - 0xBC04C8BA, 0x938B74C0, - 0xBC2F6513, 0x9370CAE4, - 0xBC5A0BE1, 0x935631C5, - 0xBC84BD1E, 0x933BA968, - 0xBCAF78C3, 0x932131D1, - 0xBCDA3ECA, 0x9306CB04, - 0xBD050F2C, 0x92EC7505, - 0xBD2FE9E1, 0x92D22FD8, - 0xBD5ACEE5, 0x92B7FB82, - 0xBD85BE2F, 0x929DD805, - 0xBDB0B7BA, 0x9283C567, - 0xBDDBBB7F, 0x9269C3AC, - 0xBE06C977, 0x924FD2D6, - 0xBE31E19B, 0x9235F2EB, - 0xBE5D03E5, 0x921C23EE, - 0xBE88304F, 0x920265E4, - 0xBEB366D1, 0x91E8B8D0, - 0xBEDEA765, 0x91CF1CB6, - 0xBF09F204, 0x91B5919A, - 0xBF3546A8, 0x919C1780, - 0xBF60A54A, 0x9182AE6C, - 0xBF8C0DE2, 0x91695663, - 0xBFB7806C, 0x91500F67, - 0xBFE2FCDF, 0x9136D97D, - 0xC00E8335, 0x911DB4A8, - 0xC03A1368, 0x9104A0ED, - 0xC065AD70, 0x90EB9E50, - 0xC0915147, 0x90D2ACD3, - 0xC0BCFEE7, 0x90B9CC7C, - 0xC0E8B648, 0x90A0FD4E, - 0xC1147763, 0x90883F4C, - 0xC1404233, 0x906F927B, - 0xC16C16B0, 0x9056F6DF, - 0xC197F4D3, 0x903E6C7A, - 0xC1C3DC96, 0x9025F352, - 0xC1EFCDF2, 0x900D8B69, - 0xC21BC8E0, 0x8FF534C4, - 0xC247CD5A, 0x8FDCEF66, - 0xC273DB58, 0x8FC4BB53, - 0xC29FF2D4, 0x8FAC988E, - 0xC2CC13C7, 0x8F94871D, - 0xC2F83E2A, 0x8F7C8701, - 0xC32471F6, 0x8F64983F, - 0xC350AF25, 0x8F4CBADB, - 0xC37CF5B0, 0x8F34EED8, - 0xC3A9458F, 0x8F1D343A, - 0xC3D59EBD, 0x8F058B04, - 0xC4020132, 0x8EEDF33B, - 0xC42E6CE8, 0x8ED66CE1, - 0xC45AE1D7, 0x8EBEF7FB, - 0xC4875FF8, 0x8EA7948C, - 0xC4B3E746, 0x8E904298, - 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0xCBC53578, 0x8B240E10, - 0xCBF31D75, 0x8B0F9461, - 0xCC210D78, 0x8AFB2CBA, - 0xCC4F057B, 0x8AE6D71F, - 0xCC7D0577, 0x8AD29393, - 0xCCAB0D65, 0x8ABE6219, - 0xCCD91D3D, 0x8AAA42B4, - 0xCD0734F8, 0x8A963567, - 0xCD355490, 0x8A823A35, - 0xCD637BFD, 0x8A6E5122, - 0xCD91AB38, 0x8A5A7A30, - 0xCDBFE23A, 0x8A46B563, - 0xCDEE20FC, 0x8A3302BD, - 0xCE1C6776, 0x8A1F6242, - 0xCE4AB5A2, 0x8A0BD3F5, - 0xCE790B78, 0x89F857D8, - 0xCEA768F2, 0x89E4EDEE, - 0xCED5CE08, 0x89D1963C, - 0xCF043AB2, 0x89BE50C3, - 0xCF32AEEB, 0x89AB1D86, - 0xCF612AAA, 0x8997FC89, - 0xCF8FADE8, 0x8984EDCF, - 0xCFBE389F, 0x8971F15A, - 0xCFECCAC7, 0x895F072D, - 0xD01B6459, 0x894C2F4C, - 0xD04A054D, 0x893969B9, - 0xD078AD9D, 0x8926B677, - 0xD0A75D42, 0x89141589, - 0xD0D61433, 0x890186F1, - 0xD104D26B, 0x88EF0AB4, - 0xD13397E1, 0x88DCA0D3, - 0xD162648F, 0x88CA4951, - 0xD191386D, 0x88B80431, - 0xD1C01374, 0x88A5D177, - 0xD1EEF59E, 0x8893B124, - 0xD21DDEE1, 0x8881A33C, - 0xD24CCF38, 0x886FA7C2, - 0xD27BC69C, 0x885DBEB7, - 0xD2AAC504, 0x884BE820, - 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0xE17862F3, 0x83B1B649, - 0xE1A935E1, 0x83A5C2B0, - 0xE1DA0D7E, 0x8399E244, - 0xE20AE9C1, 0x838E1507, - 0xE23BCAA2, 0x83825AFB, - 0xE26CB01A, 0x8376B422, - 0xE29D9A22, 0x836B207D, - 0xE2CE88B2, 0x835FA00E, - 0xE2FF7BC3, 0x835432D8, - 0xE330734C, 0x8348D8DB, - 0xE3616F47, 0x833D921A, - 0xE3926FAC, 0x83325E97, - 0xE3C37473, 0x83273E52, - 0xE3F47D95, 0x831C314E, - 0xE4258B0A, 0x8311378C, - 0xE4569CCB, 0x8306510F, - 0xE487B2CF, 0x82FB7DD8, - 0xE4B8CD10, 0x82F0BDE8, - 0xE4E9EB86, 0x82E61141, - 0xE51B0E2A, 0x82DB77E5, - 0xE54C34F3, 0x82D0F1D5, - 0xE57D5FDA, 0x82C67F13, - 0xE5AE8ED8, 0x82BC1FA1, - 0xE5DFC1E4, 0x82B1D381, - 0xE610F8F9, 0x82A79AB3, - 0xE642340D, 0x829D753A, - 0xE6737319, 0x82936316, - 0xE6A4B616, 0x8289644A, - 0xE6D5FCFC, 0x827F78D8, - 0xE70747C3, 0x8275A0C0, - 0xE7389664, 0x826BDC04, - 0xE769E8D8, 0x82622AA5, - 0xE79B3F16, 0x82588CA6, - 0xE7CC9917, 0x824F0208, - 0xE7FDF6D3, 0x82458ACB, - 0xE82F5844, 0x823C26F2, - 0xE860BD60, 0x8232D67E, - 0xE8922621, 0x82299971, - 0xE8C3927F, 0x82206FCB, - 0xE8F50273, 0x8217598F, - 0xE92675F4, 0x820E56BE, - 0xE957ECFB, 0x82056758, - 0xE9896780, 0x81FC8B60, - 0xE9BAE57C, 0x81F3C2D7, - 0xE9EC66E8, 0x81EB0DBD, - 0xEA1DEBBB, 0x81E26C16, - 0xEA4F73EE, 0x81D9DDE1, - 0xEA80FF79, 0x81D16320, - 0xEAB28E55, 0x81C8FBD5, - 0xEAE4207A, 0x81C0A801, - 0xEB15B5E0, 0x81B867A4, - 0xEB474E80, 0x81B03AC1, - 0xEB78EA52, 0x81A82159, - 0xEBAA894E, 0x81A01B6C, - 0xEBDC2B6D, 0x819828FD, - 0xEC0DD0A8, 0x81904A0C, - 0xEC3F78F5, 0x81887E9A, - 0xEC71244F, 0x8180C6A9, - 0xECA2D2AC, 0x8179223A, - 0xECD48406, 0x8171914E, - 0xED063855, 0x816A13E6, - 0xED37EF91, 0x8162AA03, - 0xED69A9B2, 0x815B53A8, - 0xED9B66B2, 0x815410D3, - 0xEDCD2687, 0x814CE188, - 0xEDFEE92B, 0x8145C5C6, - 0xEE30AE95, 0x813EBD90, - 0xEE6276BF, 0x8137C8E6, - 0xEE9441A0, 0x8130E7C8, - 0xEEC60F31, 0x812A1A39, - 0xEEF7DF6A, 0x81236039, - 0xEF29B243, 0x811CB9CA, - 0xEF5B87B5, 0x811626EC, - 0xEF8D5FB8, 0x810FA7A0, - 0xEFBF3A44, 0x81093BE8, - 0xEFF11752, 0x8102E3C3, - 0xF022F6DA, 0x80FC9F35, - 0xF054D8D4, 0x80F66E3C, - 0xF086BD39, 0x80F050DB, - 0xF0B8A401, 0x80EA4712, - 0xF0EA8D23, 0x80E450E2, - 0xF11C789A, 0x80DE6E4C, - 0xF14E665C, 0x80D89F51, - 0xF1805662, 0x80D2E3F1, - 0xF1B248A5, 0x80CD3C2F, - 0xF1E43D1C, 0x80C7A80A, - 0xF21633C0, 0x80C22783, - 0xF2482C89, 0x80BCBA9C, - 0xF27A2770, 0x80B76155, - 0xF2AC246D, 0x80B21BAF, - 0xF2DE2378, 0x80ACE9AB, - 0xF310248A, 0x80A7CB49, - 0xF342279A, 0x80A2C08B, - 0xF3742CA1, 0x809DC970, - 0xF3A63398, 0x8098E5FB, - 0xF3D83C76, 0x8094162B, - 0xF40A4734, 0x808F5A02, - 0xF43C53CA, 0x808AB180, - 0xF46E6231, 0x80861CA5, - 0xF4A07260, 0x80819B74, - 0xF4D28451, 0x807D2DEB, - 0xF50497FA, 0x8078D40D, - 0xF536AD55, 0x80748DD9, - 0xF568C45A, 0x80705B50, - 0xF59ADD01, 0x806C3C73, - 0xF5CCF743, 0x80683143, - 0xF5FF1317, 0x806439C0, - 0xF6313076, 0x806055EA, - 0xF6634F58, 0x805C85C3, - 0xF6956FB6, 0x8058C94C, - 0xF6C79188, 0x80552083, - 0xF6F9B4C5, 0x80518B6B, - 0xF72BD967, 0x804E0A03, - 0xF75DFF65, 0x804A9C4D, - 0xF79026B8, 0x80474248, - 0xF7C24F58, 0x8043FBF6, - 0xF7F4793E, 0x8040C956, - 0xF826A461, 0x803DAA69, - 0xF858D0BA, 0x803A9F31, - 0xF88AFE41, 0x8037A7AC, - 0xF8BD2CEF, 0x8034C3DC, - 0xF8EF5CBB, 0x8031F3C1, - 0xF9218D9E, 0x802F375C, - 0xF953BF90, 0x802C8EAD, - 0xF985F28A, 0x8029F9B4, - 0xF9B82683, 0x80277872, - 0xF9EA5B75, 0x80250AE7, - 0xFA1C9156, 0x8022B113, - 0xFA4EC820, 0x80206AF8, - 0xFA80FFCB, 0x801E3894, - 0xFAB3384F, 0x801C19E9, - 0xFAE571A4, 0x801A0EF7, - 0xFB17ABC2, 0x801817BF, - 0xFB49E6A2, 0x80163440, - 0xFB7C223C, 0x8014647A, - 0xFBAE5E89, 0x8012A86F, - 0xFBE09B80, 0x8011001E, - 0xFC12D919, 0x800F6B88, - 0xFC45174E, 0x800DEAAC, - 0xFC775616, 0x800C7D8C, - 0xFCA99569, 0x800B2427, - 0xFCDBD541, 0x8009DE7D, - 0xFD0E1594, 0x8008AC90, - 0xFD40565B, 0x80078E5E, - 0xFD72978F, 0x800683E8, - 0xFDA4D928, 0x80058D2E, - 0xFDD71B1E, 0x8004AA31, - 0xFE095D69, 0x8003DAF0, - 0xFE3BA001, 0x80031F6C, - 0xFE6DE2E0, 0x800277A5, - 0xFEA025FC, 0x8001E39B, - 0xFED2694F, 0x8001634D, - 0xFF04ACD0, 0x8000F6BD, - 0xFF36F078, 0x80009DE9, - 0xFF69343E, 0x800058D3, - 0xFF9B781D, 0x8000277A, - 0xFFCDBC0A, 0x800009DE -}; - - - -/* -* @brief q15 Twiddle factors Table -*/ - - -/** -* \par -* Example code for q15 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 16 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to q15(Fixed point 1.15): -* round(twiddleCoefq15(i) * pow(2, 15)) -* -*/ -const q15_t twiddleCoef_16_q15[24] = { - 0x7FFF, 0x0000, - 0x7641, 0x30FB, - 0x5A82, 0x5A82, - 0x30FB, 0x7641, - 0x0000, 0x7FFF, - 0xCF04, 0x7641, - 0xA57D, 0x5A82, - 0x89BE, 0x30FB, - 0x8000, 0x0000, - 0x89BE, 0xCF04, - 0xA57D, 0xA57D, - 0xCF04, 0x89BE -}; - -/** -* \par -* Example code for q15 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 32 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to q15(Fixed point 1.15): -* round(twiddleCoefq15(i) * pow(2, 15)) -* -*/ -const q15_t twiddleCoef_32_q15[48] = { - 0x7FFF, 0x0000, - 0x7D8A, 0x18F8, - 0x7641, 0x30FB, - 0x6A6D, 0x471C, - 0x5A82, 0x5A82, - 0x471C, 0x6A6D, - 0x30FB, 0x7641, - 0x18F8, 0x7D8A, - 0x0000, 0x7FFF, - 0xE707, 0x7D8A, - 0xCF04, 0x7641, - 0xB8E3, 0x6A6D, - 0xA57D, 0x5A82, - 0x9592, 0x471C, - 0x89BE, 0x30FB, - 0x8275, 0x18F8, - 0x8000, 0x0000, - 0x8275, 0xE707, - 0x89BE, 0xCF04, - 0x9592, 0xB8E3, - 0xA57D, 0xA57D, - 0xB8E3, 0x9592, - 0xCF04, 0x89BE, - 0xE707, 0x8275 -}; - -/** -* \par -* Example code for q15 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 64 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to q15(Fixed point 1.15): -* round(twiddleCoefq15(i) * pow(2, 15)) -* -*/ -const q15_t twiddleCoef_64_q15[96] = { - 0x7FFF, 0x0000, - 0x7F62, 0x0C8B, - 0x7D8A, 0x18F8, - 0x7A7D, 0x2528, - 0x7641, 0x30FB, - 0x70E2, 0x3C56, - 0x6A6D, 0x471C, - 0x62F2, 0x5133, - 0x5A82, 0x5A82, - 0x5133, 0x62F2, - 0x471C, 0x6A6D, - 0x3C56, 0x70E2, - 0x30FB, 0x7641, - 0x2528, 0x7A7D, - 0x18F8, 0x7D8A, - 0x0C8B, 0x7F62, - 0x0000, 0x7FFF, - 0xF374, 0x7F62, - 0xE707, 0x7D8A, - 0xDAD7, 0x7A7D, - 0xCF04, 0x7641, - 0xC3A9, 0x70E2, - 0xB8E3, 0x6A6D, - 0xAECC, 0x62F2, - 0xA57D, 0x5A82, - 0x9D0D, 0x5133, - 0x9592, 0x471C, - 0x8F1D, 0x3C56, - 0x89BE, 0x30FB, - 0x8582, 0x2528, - 0x8275, 0x18F8, - 0x809D, 0x0C8B, - 0x8000, 0x0000, - 0x809D, 0xF374, - 0x8275, 0xE707, - 0x8582, 0xDAD7, - 0x89BE, 0xCF04, - 0x8F1D, 0xC3A9, - 0x9592, 0xB8E3, - 0x9D0D, 0xAECC, - 0xA57D, 0xA57D, - 0xAECC, 0x9D0D, - 0xB8E3, 0x9592, - 0xC3A9, 0x8F1D, - 0xCF04, 0x89BE, - 0xDAD7, 0x8582, - 0xE707, 0x8275, - 0xF374, 0x809D -}; - -/** -* \par -* Example code for q15 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 128 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to q15(Fixed point 1.15): -* round(twiddleCoefq15(i) * pow(2, 15)) -* -*/ -const q15_t twiddleCoef_128_q15[192] = { - 0x7FFF, 0x0000, - 0x7FD8, 0x0647, - 0x7F62, 0x0C8B, - 0x7E9D, 0x12C8, - 0x7D8A, 0x18F8, - 0x7C29, 0x1F19, - 0x7A7D, 0x2528, - 0x7884, 0x2B1F, - 0x7641, 0x30FB, - 0x73B5, 0x36BA, - 0x70E2, 0x3C56, - 0x6DCA, 0x41CE, - 0x6A6D, 0x471C, - 0x66CF, 0x4C3F, - 0x62F2, 0x5133, - 0x5ED7, 0x55F5, - 0x5A82, 0x5A82, - 0x55F5, 0x5ED7, - 0x5133, 0x62F2, - 0x4C3F, 0x66CF, - 0x471C, 0x6A6D, - 0x41CE, 0x6DCA, - 0x3C56, 0x70E2, - 0x36BA, 0x73B5, - 0x30FB, 0x7641, - 0x2B1F, 0x7884, - 0x2528, 0x7A7D, - 0x1F19, 0x7C29, - 0x18F8, 0x7D8A, - 0x12C8, 0x7E9D, - 0x0C8B, 0x7F62, - 0x0647, 0x7FD8, - 0x0000, 0x7FFF, - 0xF9B8, 0x7FD8, - 0xF374, 0x7F62, - 0xED37, 0x7E9D, - 0xE707, 0x7D8A, - 0xE0E6, 0x7C29, - 0xDAD7, 0x7A7D, - 0xD4E0, 0x7884, - 0xCF04, 0x7641, - 0xC945, 0x73B5, - 0xC3A9, 0x70E2, - 0xBE31, 0x6DCA, - 0xB8E3, 0x6A6D, - 0xB3C0, 0x66CF, - 0xAECC, 0x62F2, - 0xAA0A, 0x5ED7, - 0xA57D, 0x5A82, - 0xA128, 0x55F5, - 0x9D0D, 0x5133, - 0x9930, 0x4C3F, - 0x9592, 0x471C, - 0x9235, 0x41CE, - 0x8F1D, 0x3C56, - 0x8C4A, 0x36BA, - 0x89BE, 0x30FB, - 0x877B, 0x2B1F, - 0x8582, 0x2528, - 0x83D6, 0x1F19, - 0x8275, 0x18F8, - 0x8162, 0x12C8, - 0x809D, 0x0C8B, - 0x8027, 0x0647, - 0x8000, 0x0000, - 0x8027, 0xF9B8, - 0x809D, 0xF374, - 0x8162, 0xED37, - 0x8275, 0xE707, - 0x83D6, 0xE0E6, - 0x8582, 0xDAD7, - 0x877B, 0xD4E0, - 0x89BE, 0xCF04, - 0x8C4A, 0xC945, - 0x8F1D, 0xC3A9, - 0x9235, 0xBE31, - 0x9592, 0xB8E3, - 0x9930, 0xB3C0, - 0x9D0D, 0xAECC, - 0xA128, 0xAA0A, - 0xA57D, 0xA57D, - 0xAA0A, 0xA128, - 0xAECC, 0x9D0D, - 0xB3C0, 0x9930, - 0xB8E3, 0x9592, - 0xBE31, 0x9235, - 0xC3A9, 0x8F1D, - 0xC945, 0x8C4A, - 0xCF04, 0x89BE, - 0xD4E0, 0x877B, - 0xDAD7, 0x8582, - 0xE0E6, 0x83D6, - 0xE707, 0x8275, - 0xED37, 0x8162, - 0xF374, 0x809D, - 0xF9B8, 0x8027 -}; - -/** -* \par -* Example code for q15 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 256 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to q15(Fixed point 1.15): -* round(twiddleCoefq15(i) * pow(2, 15)) -* -*/ -const q15_t twiddleCoef_256_q15[384] = { - 0x7FFF, 0x0000, - 0x7FF6, 0x0324, - 0x7FD8, 0x0647, - 0x7FA7, 0x096A, - 0x7F62, 0x0C8B, - 0x7F09, 0x0FAB, - 0x7E9D, 0x12C8, - 0x7E1D, 0x15E2, - 0x7D8A, 0x18F8, - 0x7CE3, 0x1C0B, - 0x7C29, 0x1F19, - 0x7B5D, 0x2223, - 0x7A7D, 0x2528, - 0x798A, 0x2826, - 0x7884, 0x2B1F, - 0x776C, 0x2E11, - 0x7641, 0x30FB, - 0x7504, 0x33DE, - 0x73B5, 0x36BA, - 0x7255, 0x398C, - 0x70E2, 0x3C56, - 0x6F5F, 0x3F17, - 0x6DCA, 0x41CE, - 0x6C24, 0x447A, - 0x6A6D, 0x471C, - 0x68A6, 0x49B4, - 0x66CF, 0x4C3F, - 0x64E8, 0x4EBF, - 0x62F2, 0x5133, - 0x60EC, 0x539B, - 0x5ED7, 0x55F5, - 0x5CB4, 0x5842, - 0x5A82, 0x5A82, - 0x5842, 0x5CB4, - 0x55F5, 0x5ED7, - 0x539B, 0x60EC, - 0x5133, 0x62F2, - 0x4EBF, 0x64E8, - 0x4C3F, 0x66CF, - 0x49B4, 0x68A6, - 0x471C, 0x6A6D, - 0x447A, 0x6C24, - 0x41CE, 0x6DCA, - 0x3F17, 0x6F5F, - 0x3C56, 0x70E2, - 0x398C, 0x7255, - 0x36BA, 0x73B5, - 0x33DE, 0x7504, - 0x30FB, 0x7641, - 0x2E11, 0x776C, - 0x2B1F, 0x7884, - 0x2826, 0x798A, - 0x2528, 0x7A7D, - 0x2223, 0x7B5D, - 0x1F19, 0x7C29, - 0x1C0B, 0x7CE3, - 0x18F8, 0x7D8A, - 0x15E2, 0x7E1D, - 0x12C8, 0x7E9D, - 0x0FAB, 0x7F09, - 0x0C8B, 0x7F62, - 0x096A, 0x7FA7, - 0x0647, 0x7FD8, - 0x0324, 0x7FF6, - 0x0000, 0x7FFF, - 0xFCDB, 0x7FF6, - 0xF9B8, 0x7FD8, - 0xF695, 0x7FA7, - 0xF374, 0x7F62, - 0xF054, 0x7F09, - 0xED37, 0x7E9D, - 0xEA1D, 0x7E1D, - 0xE707, 0x7D8A, - 0xE3F4, 0x7CE3, - 0xE0E6, 0x7C29, - 0xDDDC, 0x7B5D, - 0xDAD7, 0x7A7D, - 0xD7D9, 0x798A, - 0xD4E0, 0x7884, - 0xD1EE, 0x776C, - 0xCF04, 0x7641, - 0xCC21, 0x7504, - 0xC945, 0x73B5, - 0xC673, 0x7255, - 0xC3A9, 0x70E2, - 0xC0E8, 0x6F5F, - 0xBE31, 0x6DCA, - 0xBB85, 0x6C24, - 0xB8E3, 0x6A6D, - 0xB64B, 0x68A6, - 0xB3C0, 0x66CF, - 0xB140, 0x64E8, - 0xAECC, 0x62F2, - 0xAC64, 0x60EC, - 0xAA0A, 0x5ED7, - 0xA7BD, 0x5CB4, - 0xA57D, 0x5A82, - 0xA34B, 0x5842, - 0xA128, 0x55F5, - 0x9F13, 0x539B, - 0x9D0D, 0x5133, - 0x9B17, 0x4EBF, - 0x9930, 0x4C3F, - 0x9759, 0x49B4, - 0x9592, 0x471C, - 0x93DB, 0x447A, - 0x9235, 0x41CE, - 0x90A0, 0x3F17, - 0x8F1D, 0x3C56, - 0x8DAA, 0x398C, - 0x8C4A, 0x36BA, - 0x8AFB, 0x33DE, - 0x89BE, 0x30FB, - 0x8893, 0x2E11, - 0x877B, 0x2B1F, - 0x8675, 0x2826, - 0x8582, 0x2528, - 0x84A2, 0x2223, - 0x83D6, 0x1F19, - 0x831C, 0x1C0B, - 0x8275, 0x18F8, - 0x81E2, 0x15E2, - 0x8162, 0x12C8, - 0x80F6, 0x0FAB, - 0x809D, 0x0C8B, - 0x8058, 0x096A, - 0x8027, 0x0647, - 0x8009, 0x0324, - 0x8000, 0x0000, - 0x8009, 0xFCDB, - 0x8027, 0xF9B8, - 0x8058, 0xF695, - 0x809D, 0xF374, - 0x80F6, 0xF054, - 0x8162, 0xED37, - 0x81E2, 0xEA1D, - 0x8275, 0xE707, - 0x831C, 0xE3F4, - 0x83D6, 0xE0E6, - 0x84A2, 0xDDDC, - 0x8582, 0xDAD7, - 0x8675, 0xD7D9, - 0x877B, 0xD4E0, - 0x8893, 0xD1EE, - 0x89BE, 0xCF04, - 0x8AFB, 0xCC21, - 0x8C4A, 0xC945, - 0x8DAA, 0xC673, - 0x8F1D, 0xC3A9, - 0x90A0, 0xC0E8, - 0x9235, 0xBE31, - 0x93DB, 0xBB85, - 0x9592, 0xB8E3, - 0x9759, 0xB64B, - 0x9930, 0xB3C0, - 0x9B17, 0xB140, - 0x9D0D, 0xAECC, - 0x9F13, 0xAC64, - 0xA128, 0xAA0A, - 0xA34B, 0xA7BD, - 0xA57D, 0xA57D, - 0xA7BD, 0xA34B, - 0xAA0A, 0xA128, - 0xAC64, 0x9F13, - 0xAECC, 0x9D0D, - 0xB140, 0x9B17, - 0xB3C0, 0x9930, - 0xB64B, 0x9759, - 0xB8E3, 0x9592, - 0xBB85, 0x93DB, - 0xBE31, 0x9235, - 0xC0E8, 0x90A0, - 0xC3A9, 0x8F1D, - 0xC673, 0x8DAA, - 0xC945, 0x8C4A, - 0xCC21, 0x8AFB, - 0xCF04, 0x89BE, - 0xD1EE, 0x8893, - 0xD4E0, 0x877B, - 0xD7D9, 0x8675, - 0xDAD7, 0x8582, - 0xDDDC, 0x84A2, - 0xE0E6, 0x83D6, - 0xE3F4, 0x831C, - 0xE707, 0x8275, - 0xEA1D, 0x81E2, - 0xED37, 0x8162, - 0xF054, 0x80F6, - 0xF374, 0x809D, - 0xF695, 0x8058, - 0xF9B8, 0x8027, - 0xFCDB, 0x8009 -}; - -/** -* \par -* Example code for q15 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 512 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to q15(Fixed point 1.15): -* round(twiddleCoefq15(i) * pow(2, 15)) -* -*/ -const q15_t twiddleCoef_512_q15[768] = { - 0x7FFF, 0x0000, - 0x7FFD, 0x0192, - 0x7FF6, 0x0324, - 0x7FE9, 0x04B6, - 0x7FD8, 0x0647, - 0x7FC2, 0x07D9, - 0x7FA7, 0x096A, - 0x7F87, 0x0AFB, - 0x7F62, 0x0C8B, - 0x7F38, 0x0E1B, - 0x7F09, 0x0FAB, - 0x7ED5, 0x1139, - 0x7E9D, 0x12C8, - 0x7E5F, 0x1455, - 0x7E1D, 0x15E2, - 0x7DD6, 0x176D, - 0x7D8A, 0x18F8, - 0x7D39, 0x1A82, - 0x7CE3, 0x1C0B, - 0x7C89, 0x1D93, - 0x7C29, 0x1F19, - 0x7BC5, 0x209F, - 0x7B5D, 0x2223, - 0x7AEF, 0x23A6, - 0x7A7D, 0x2528, - 0x7A05, 0x26A8, - 0x798A, 0x2826, - 0x7909, 0x29A3, - 0x7884, 0x2B1F, - 0x77FA, 0x2C98, - 0x776C, 0x2E11, - 0x76D9, 0x2F87, - 0x7641, 0x30FB, - 0x75A5, 0x326E, - 0x7504, 0x33DE, - 0x745F, 0x354D, - 0x73B5, 0x36BA, - 0x7307, 0x3824, - 0x7255, 0x398C, - 0x719E, 0x3AF2, - 0x70E2, 0x3C56, - 0x7023, 0x3DB8, - 0x6F5F, 0x3F17, - 0x6E96, 0x4073, - 0x6DCA, 0x41CE, - 0x6CF9, 0x4325, - 0x6C24, 0x447A, - 0x6B4A, 0x45CD, - 0x6A6D, 0x471C, - 0x698C, 0x4869, - 0x68A6, 0x49B4, - 0x67BD, 0x4AFB, - 0x66CF, 0x4C3F, - 0x65DD, 0x4D81, - 0x64E8, 0x4EBF, - 0x63EF, 0x4FFB, - 0x62F2, 0x5133, - 0x61F1, 0x5269, - 0x60EC, 0x539B, - 0x5FE3, 0x54CA, - 0x5ED7, 0x55F5, - 0x5DC7, 0x571D, - 0x5CB4, 0x5842, - 0x5B9D, 0x5964, - 0x5A82, 0x5A82, - 0x5964, 0x5B9D, - 0x5842, 0x5CB4, - 0x571D, 0x5DC7, - 0x55F5, 0x5ED7, - 0x54CA, 0x5FE3, - 0x539B, 0x60EC, - 0x5269, 0x61F1, - 0x5133, 0x62F2, - 0x4FFB, 0x63EF, - 0x4EBF, 0x64E8, - 0x4D81, 0x65DD, - 0x4C3F, 0x66CF, - 0x4AFB, 0x67BD, - 0x49B4, 0x68A6, - 0x4869, 0x698C, - 0x471C, 0x6A6D, - 0x45CD, 0x6B4A, - 0x447A, 0x6C24, - 0x4325, 0x6CF9, - 0x41CE, 0x6DCA, - 0x4073, 0x6E96, - 0x3F17, 0x6F5F, - 0x3DB8, 0x7023, - 0x3C56, 0x70E2, - 0x3AF2, 0x719E, - 0x398C, 0x7255, - 0x3824, 0x7307, - 0x36BA, 0x73B5, - 0x354D, 0x745F, - 0x33DE, 0x7504, - 0x326E, 0x75A5, - 0x30FB, 0x7641, - 0x2F87, 0x76D9, - 0x2E11, 0x776C, - 0x2C98, 0x77FA, - 0x2B1F, 0x7884, - 0x29A3, 0x7909, - 0x2826, 0x798A, - 0x26A8, 0x7A05, - 0x2528, 0x7A7D, - 0x23A6, 0x7AEF, - 0x2223, 0x7B5D, - 0x209F, 0x7BC5, - 0x1F19, 0x7C29, - 0x1D93, 0x7C89, - 0x1C0B, 0x7CE3, - 0x1A82, 0x7D39, - 0x18F8, 0x7D8A, - 0x176D, 0x7DD6, - 0x15E2, 0x7E1D, - 0x1455, 0x7E5F, - 0x12C8, 0x7E9D, - 0x1139, 0x7ED5, - 0x0FAB, 0x7F09, - 0x0E1B, 0x7F38, - 0x0C8B, 0x7F62, - 0x0AFB, 0x7F87, - 0x096A, 0x7FA7, - 0x07D9, 0x7FC2, - 0x0647, 0x7FD8, - 0x04B6, 0x7FE9, - 0x0324, 0x7FF6, - 0x0192, 0x7FFD, - 0x0000, 0x7FFF, - 0xFE6D, 0x7FFD, - 0xFCDB, 0x7FF6, - 0xFB49, 0x7FE9, - 0xF9B8, 0x7FD8, - 0xF826, 0x7FC2, - 0xF695, 0x7FA7, - 0xF504, 0x7F87, - 0xF374, 0x7F62, - 0xF1E4, 0x7F38, - 0xF054, 0x7F09, - 0xEEC6, 0x7ED5, - 0xED37, 0x7E9D, - 0xEBAA, 0x7E5F, - 0xEA1D, 0x7E1D, - 0xE892, 0x7DD6, - 0xE707, 0x7D8A, - 0xE57D, 0x7D39, - 0xE3F4, 0x7CE3, - 0xE26C, 0x7C89, - 0xE0E6, 0x7C29, - 0xDF60, 0x7BC5, - 0xDDDC, 0x7B5D, - 0xDC59, 0x7AEF, - 0xDAD7, 0x7A7D, - 0xD957, 0x7A05, - 0xD7D9, 0x798A, - 0xD65C, 0x7909, - 0xD4E0, 0x7884, - 0xD367, 0x77FA, - 0xD1EE, 0x776C, - 0xD078, 0x76D9, - 0xCF04, 0x7641, - 0xCD91, 0x75A5, - 0xCC21, 0x7504, - 0xCAB2, 0x745F, - 0xC945, 0x73B5, - 0xC7DB, 0x7307, - 0xC673, 0x7255, - 0xC50D, 0x719E, - 0xC3A9, 0x70E2, - 0xC247, 0x7023, - 0xC0E8, 0x6F5F, - 0xBF8C, 0x6E96, - 0xBE31, 0x6DCA, - 0xBCDA, 0x6CF9, - 0xBB85, 0x6C24, - 0xBA32, 0x6B4A, - 0xB8E3, 0x6A6D, - 0xB796, 0x698C, - 0xB64B, 0x68A6, - 0xB504, 0x67BD, - 0xB3C0, 0x66CF, - 0xB27E, 0x65DD, - 0xB140, 0x64E8, - 0xB004, 0x63EF, - 0xAECC, 0x62F2, - 0xAD96, 0x61F1, - 0xAC64, 0x60EC, - 0xAB35, 0x5FE3, - 0xAA0A, 0x5ED7, - 0xA8E2, 0x5DC7, - 0xA7BD, 0x5CB4, - 0xA69B, 0x5B9D, - 0xA57D, 0x5A82, - 0xA462, 0x5964, - 0xA34B, 0x5842, - 0xA238, 0x571D, - 0xA128, 0x55F5, - 0xA01C, 0x54CA, - 0x9F13, 0x539B, - 0x9E0E, 0x5269, - 0x9D0D, 0x5133, - 0x9C10, 0x4FFB, - 0x9B17, 0x4EBF, - 0x9A22, 0x4D81, - 0x9930, 0x4C3F, - 0x9842, 0x4AFB, - 0x9759, 0x49B4, - 0x9673, 0x4869, - 0x9592, 0x471C, - 0x94B5, 0x45CD, - 0x93DB, 0x447A, - 0x9306, 0x4325, - 0x9235, 0x41CE, - 0x9169, 0x4073, - 0x90A0, 0x3F17, - 0x8FDC, 0x3DB8, - 0x8F1D, 0x3C56, - 0x8E61, 0x3AF2, - 0x8DAA, 0x398C, - 0x8CF8, 0x3824, - 0x8C4A, 0x36BA, - 0x8BA0, 0x354D, - 0x8AFB, 0x33DE, - 0x8A5A, 0x326E, - 0x89BE, 0x30FB, - 0x8926, 0x2F87, - 0x8893, 0x2E11, - 0x8805, 0x2C98, - 0x877B, 0x2B1F, - 0x86F6, 0x29A3, - 0x8675, 0x2826, - 0x85FA, 0x26A8, - 0x8582, 0x2528, - 0x8510, 0x23A6, - 0x84A2, 0x2223, - 0x843A, 0x209F, - 0x83D6, 0x1F19, - 0x8376, 0x1D93, - 0x831C, 0x1C0B, - 0x82C6, 0x1A82, - 0x8275, 0x18F8, - 0x8229, 0x176D, - 0x81E2, 0x15E2, - 0x81A0, 0x1455, - 0x8162, 0x12C8, - 0x812A, 0x1139, - 0x80F6, 0x0FAB, - 0x80C7, 0x0E1B, - 0x809D, 0x0C8B, - 0x8078, 0x0AFB, - 0x8058, 0x096A, - 0x803D, 0x07D9, - 0x8027, 0x0647, - 0x8016, 0x04B6, - 0x8009, 0x0324, - 0x8002, 0x0192, - 0x8000, 0x0000, - 0x8002, 0xFE6D, - 0x8009, 0xFCDB, - 0x8016, 0xFB49, - 0x8027, 0xF9B8, - 0x803D, 0xF826, - 0x8058, 0xF695, - 0x8078, 0xF504, - 0x809D, 0xF374, - 0x80C7, 0xF1E4, - 0x80F6, 0xF054, - 0x812A, 0xEEC6, - 0x8162, 0xED37, - 0x81A0, 0xEBAA, - 0x81E2, 0xEA1D, - 0x8229, 0xE892, - 0x8275, 0xE707, - 0x82C6, 0xE57D, - 0x831C, 0xE3F4, - 0x8376, 0xE26C, - 0x83D6, 0xE0E6, - 0x843A, 0xDF60, - 0x84A2, 0xDDDC, - 0x8510, 0xDC59, - 0x8582, 0xDAD7, - 0x85FA, 0xD957, - 0x8675, 0xD7D9, - 0x86F6, 0xD65C, - 0x877B, 0xD4E0, - 0x8805, 0xD367, - 0x8893, 0xD1EE, - 0x8926, 0xD078, - 0x89BE, 0xCF04, - 0x8A5A, 0xCD91, - 0x8AFB, 0xCC21, - 0x8BA0, 0xCAB2, - 0x8C4A, 0xC945, - 0x8CF8, 0xC7DB, - 0x8DAA, 0xC673, - 0x8E61, 0xC50D, - 0x8F1D, 0xC3A9, - 0x8FDC, 0xC247, - 0x90A0, 0xC0E8, - 0x9169, 0xBF8C, - 0x9235, 0xBE31, - 0x9306, 0xBCDA, - 0x93DB, 0xBB85, - 0x94B5, 0xBA32, - 0x9592, 0xB8E3, - 0x9673, 0xB796, - 0x9759, 0xB64B, - 0x9842, 0xB504, - 0x9930, 0xB3C0, - 0x9A22, 0xB27E, - 0x9B17, 0xB140, - 0x9C10, 0xB004, - 0x9D0D, 0xAECC, - 0x9E0E, 0xAD96, - 0x9F13, 0xAC64, - 0xA01C, 0xAB35, - 0xA128, 0xAA0A, - 0xA238, 0xA8E2, - 0xA34B, 0xA7BD, - 0xA462, 0xA69B, - 0xA57D, 0xA57D, - 0xA69B, 0xA462, - 0xA7BD, 0xA34B, - 0xA8E2, 0xA238, - 0xAA0A, 0xA128, - 0xAB35, 0xA01C, - 0xAC64, 0x9F13, - 0xAD96, 0x9E0E, - 0xAECC, 0x9D0D, - 0xB004, 0x9C10, - 0xB140, 0x9B17, - 0xB27E, 0x9A22, - 0xB3C0, 0x9930, - 0xB504, 0x9842, - 0xB64B, 0x9759, - 0xB796, 0x9673, - 0xB8E3, 0x9592, - 0xBA32, 0x94B5, - 0xBB85, 0x93DB, - 0xBCDA, 0x9306, - 0xBE31, 0x9235, - 0xBF8C, 0x9169, - 0xC0E8, 0x90A0, - 0xC247, 0x8FDC, - 0xC3A9, 0x8F1D, - 0xC50D, 0x8E61, - 0xC673, 0x8DAA, - 0xC7DB, 0x8CF8, - 0xC945, 0x8C4A, - 0xCAB2, 0x8BA0, - 0xCC21, 0x8AFB, - 0xCD91, 0x8A5A, - 0xCF04, 0x89BE, - 0xD078, 0x8926, - 0xD1EE, 0x8893, - 0xD367, 0x8805, - 0xD4E0, 0x877B, - 0xD65C, 0x86F6, - 0xD7D9, 0x8675, - 0xD957, 0x85FA, - 0xDAD7, 0x8582, - 0xDC59, 0x8510, - 0xDDDC, 0x84A2, - 0xDF60, 0x843A, - 0xE0E6, 0x83D6, - 0xE26C, 0x8376, - 0xE3F4, 0x831C, - 0xE57D, 0x82C6, - 0xE707, 0x8275, - 0xE892, 0x8229, - 0xEA1D, 0x81E2, - 0xEBAA, 0x81A0, - 0xED37, 0x8162, - 0xEEC6, 0x812A, - 0xF054, 0x80F6, - 0xF1E4, 0x80C7, - 0xF374, 0x809D, - 0xF504, 0x8078, - 0xF695, 0x8058, - 0xF826, 0x803D, - 0xF9B8, 0x8027, - 0xFB49, 0x8016, - 0xFCDB, 0x8009, - 0xFE6D, 0x8002 -}; - -/** -* \par -* Example code for q15 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 1024 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to q15(Fixed point 1.15): -* round(twiddleCoefq15(i) * pow(2, 15)) -* -*/ -const q15_t twiddleCoef_1024_q15[1536] = { - 0x7FFF, 0x0000, - 0x7FFF, 0x00C9, - 0x7FFD, 0x0192, - 0x7FFA, 0x025B, - 0x7FF6, 0x0324, - 0x7FF0, 0x03ED, - 0x7FE9, 0x04B6, - 0x7FE1, 0x057F, - 0x7FD8, 0x0647, - 0x7FCE, 0x0710, - 0x7FC2, 0x07D9, - 0x7FB5, 0x08A2, - 0x7FA7, 0x096A, - 0x7F97, 0x0A33, - 0x7F87, 0x0AFB, - 0x7F75, 0x0BC3, - 0x7F62, 0x0C8B, - 0x7F4D, 0x0D53, - 0x7F38, 0x0E1B, - 0x7F21, 0x0EE3, - 0x7F09, 0x0FAB, - 0x7EF0, 0x1072, - 0x7ED5, 0x1139, - 0x7EBA, 0x1201, - 0x7E9D, 0x12C8, - 0x7E7F, 0x138E, - 0x7E5F, 0x1455, - 0x7E3F, 0x151B, - 0x7E1D, 0x15E2, - 0x7DFA, 0x16A8, - 0x7DD6, 0x176D, - 0x7DB0, 0x1833, - 0x7D8A, 0x18F8, - 0x7D62, 0x19BD, - 0x7D39, 0x1A82, - 0x7D0F, 0x1B47, - 0x7CE3, 0x1C0B, - 0x7CB7, 0x1CCF, - 0x7C89, 0x1D93, - 0x7C5A, 0x1E56, - 0x7C29, 0x1F19, - 0x7BF8, 0x1FDC, - 0x7BC5, 0x209F, - 0x7B92, 0x2161, - 0x7B5D, 0x2223, - 0x7B26, 0x22E5, - 0x7AEF, 0x23A6, - 0x7AB6, 0x2467, - 0x7A7D, 0x2528, - 0x7A42, 0x25E8, - 0x7A05, 0x26A8, - 0x79C8, 0x2767, - 0x798A, 0x2826, - 0x794A, 0x28E5, - 0x7909, 0x29A3, - 0x78C7, 0x2A61, - 0x7884, 0x2B1F, - 0x7840, 0x2BDC, - 0x77FA, 0x2C98, - 0x77B4, 0x2D55, - 0x776C, 0x2E11, - 0x7723, 0x2ECC, - 0x76D9, 0x2F87, - 0x768E, 0x3041, - 0x7641, 0x30FB, - 0x75F4, 0x31B5, - 0x75A5, 0x326E, - 0x7555, 0x3326, - 0x7504, 0x33DE, - 0x74B2, 0x3496, - 0x745F, 0x354D, - 0x740B, 0x3604, - 0x73B5, 0x36BA, - 0x735F, 0x376F, - 0x7307, 0x3824, - 0x72AF, 0x38D8, - 0x7255, 0x398C, - 0x71FA, 0x3A40, - 0x719E, 0x3AF2, - 0x7141, 0x3BA5, - 0x70E2, 0x3C56, - 0x7083, 0x3D07, - 0x7023, 0x3DB8, - 0x6FC1, 0x3E68, - 0x6F5F, 0x3F17, - 0x6EFB, 0x3FC5, - 0x6E96, 0x4073, - 0x6E30, 0x4121, - 0x6DCA, 0x41CE, - 0x6D62, 0x427A, - 0x6CF9, 0x4325, - 0x6C8F, 0x43D0, - 0x6C24, 0x447A, - 0x6BB8, 0x4524, - 0x6B4A, 0x45CD, - 0x6ADC, 0x4675, - 0x6A6D, 0x471C, - 0x69FD, 0x47C3, - 0x698C, 0x4869, - 0x6919, 0x490F, - 0x68A6, 0x49B4, - 0x6832, 0x4A58, - 0x67BD, 0x4AFB, - 0x6746, 0x4B9E, - 0x66CF, 0x4C3F, - 0x6657, 0x4CE1, - 0x65DD, 0x4D81, - 0x6563, 0x4E21, - 0x64E8, 0x4EBF, - 0x646C, 0x4F5E, - 0x63EF, 0x4FFB, - 0x6371, 0x5097, - 0x62F2, 0x5133, - 0x6271, 0x51CE, - 0x61F1, 0x5269, - 0x616F, 0x5302, - 0x60EC, 0x539B, - 0x6068, 0x5433, - 0x5FE3, 0x54CA, - 0x5F5E, 0x5560, - 0x5ED7, 0x55F5, - 0x5E50, 0x568A, - 0x5DC7, 0x571D, - 0x5D3E, 0x57B0, - 0x5CB4, 0x5842, - 0x5C29, 0x58D4, - 0x5B9D, 0x5964, - 0x5B10, 0x59F3, - 0x5A82, 0x5A82, - 0x59F3, 0x5B10, - 0x5964, 0x5B9D, - 0x58D4, 0x5C29, - 0x5842, 0x5CB4, - 0x57B0, 0x5D3E, - 0x571D, 0x5DC7, - 0x568A, 0x5E50, - 0x55F5, 0x5ED7, - 0x5560, 0x5F5E, - 0x54CA, 0x5FE3, - 0x5433, 0x6068, - 0x539B, 0x60EC, - 0x5302, 0x616F, - 0x5269, 0x61F1, - 0x51CE, 0x6271, - 0x5133, 0x62F2, - 0x5097, 0x6371, - 0x4FFB, 0x63EF, - 0x4F5E, 0x646C, - 0x4EBF, 0x64E8, - 0x4E21, 0x6563, - 0x4D81, 0x65DD, - 0x4CE1, 0x6657, - 0x4C3F, 0x66CF, - 0x4B9E, 0x6746, - 0x4AFB, 0x67BD, - 0x4A58, 0x6832, - 0x49B4, 0x68A6, - 0x490F, 0x6919, - 0x4869, 0x698C, - 0x47C3, 0x69FD, - 0x471C, 0x6A6D, - 0x4675, 0x6ADC, - 0x45CD, 0x6B4A, - 0x4524, 0x6BB8, - 0x447A, 0x6C24, - 0x43D0, 0x6C8F, - 0x4325, 0x6CF9, - 0x427A, 0x6D62, - 0x41CE, 0x6DCA, - 0x4121, 0x6E30, - 0x4073, 0x6E96, - 0x3FC5, 0x6EFB, - 0x3F17, 0x6F5F, - 0x3E68, 0x6FC1, - 0x3DB8, 0x7023, - 0x3D07, 0x7083, - 0x3C56, 0x70E2, - 0x3BA5, 0x7141, - 0x3AF2, 0x719E, - 0x3A40, 0x71FA, - 0x398C, 0x7255, - 0x38D8, 0x72AF, - 0x3824, 0x7307, - 0x376F, 0x735F, - 0x36BA, 0x73B5, - 0x3604, 0x740B, - 0x354D, 0x745F, - 0x3496, 0x74B2, - 0x33DE, 0x7504, - 0x3326, 0x7555, - 0x326E, 0x75A5, - 0x31B5, 0x75F4, - 0x30FB, 0x7641, - 0x3041, 0x768E, - 0x2F87, 0x76D9, - 0x2ECC, 0x7723, - 0x2E11, 0x776C, - 0x2D55, 0x77B4, - 0x2C98, 0x77FA, - 0x2BDC, 0x7840, - 0x2B1F, 0x7884, - 0x2A61, 0x78C7, - 0x29A3, 0x7909, - 0x28E5, 0x794A, - 0x2826, 0x798A, - 0x2767, 0x79C8, - 0x26A8, 0x7A05, - 0x25E8, 0x7A42, - 0x2528, 0x7A7D, - 0x2467, 0x7AB6, - 0x23A6, 0x7AEF, - 0x22E5, 0x7B26, - 0x2223, 0x7B5D, - 0x2161, 0x7B92, - 0x209F, 0x7BC5, - 0x1FDC, 0x7BF8, - 0x1F19, 0x7C29, - 0x1E56, 0x7C5A, - 0x1D93, 0x7C89, - 0x1CCF, 0x7CB7, - 0x1C0B, 0x7CE3, - 0x1B47, 0x7D0F, - 0x1A82, 0x7D39, - 0x19BD, 0x7D62, - 0x18F8, 0x7D8A, - 0x1833, 0x7DB0, - 0x176D, 0x7DD6, - 0x16A8, 0x7DFA, - 0x15E2, 0x7E1D, - 0x151B, 0x7E3F, - 0x1455, 0x7E5F, - 0x138E, 0x7E7F, - 0x12C8, 0x7E9D, - 0x1201, 0x7EBA, - 0x1139, 0x7ED5, - 0x1072, 0x7EF0, - 0x0FAB, 0x7F09, - 0x0EE3, 0x7F21, - 0x0E1B, 0x7F38, - 0x0D53, 0x7F4D, - 0x0C8B, 0x7F62, - 0x0BC3, 0x7F75, - 0x0AFB, 0x7F87, - 0x0A33, 0x7F97, - 0x096A, 0x7FA7, - 0x08A2, 0x7FB5, - 0x07D9, 0x7FC2, - 0x0710, 0x7FCE, - 0x0647, 0x7FD8, - 0x057F, 0x7FE1, - 0x04B6, 0x7FE9, - 0x03ED, 0x7FF0, - 0x0324, 0x7FF6, - 0x025B, 0x7FFA, - 0x0192, 0x7FFD, - 0x00C9, 0x7FFF, - 0x0000, 0x7FFF, - 0xFF36, 0x7FFF, - 0xFE6D, 0x7FFD, - 0xFDA4, 0x7FFA, - 0xFCDB, 0x7FF6, - 0xFC12, 0x7FF0, - 0xFB49, 0x7FE9, - 0xFA80, 0x7FE1, - 0xF9B8, 0x7FD8, - 0xF8EF, 0x7FCE, - 0xF826, 0x7FC2, - 0xF75D, 0x7FB5, - 0xF695, 0x7FA7, - 0xF5CC, 0x7F97, - 0xF504, 0x7F87, - 0xF43C, 0x7F75, - 0xF374, 0x7F62, - 0xF2AC, 0x7F4D, - 0xF1E4, 0x7F38, - 0xF11C, 0x7F21, - 0xF054, 0x7F09, - 0xEF8D, 0x7EF0, - 0xEEC6, 0x7ED5, - 0xEDFE, 0x7EBA, - 0xED37, 0x7E9D, - 0xEC71, 0x7E7F, - 0xEBAA, 0x7E5F, - 0xEAE4, 0x7E3F, - 0xEA1D, 0x7E1D, - 0xE957, 0x7DFA, - 0xE892, 0x7DD6, - 0xE7CC, 0x7DB0, - 0xE707, 0x7D8A, - 0xE642, 0x7D62, - 0xE57D, 0x7D39, - 0xE4B8, 0x7D0F, - 0xE3F4, 0x7CE3, - 0xE330, 0x7CB7, - 0xE26C, 0x7C89, - 0xE1A9, 0x7C5A, - 0xE0E6, 0x7C29, - 0xE023, 0x7BF8, - 0xDF60, 0x7BC5, - 0xDE9E, 0x7B92, - 0xDDDC, 0x7B5D, - 0xDD1A, 0x7B26, - 0xDC59, 0x7AEF, - 0xDB98, 0x7AB6, - 0xDAD7, 0x7A7D, - 0xDA17, 0x7A42, - 0xD957, 0x7A05, - 0xD898, 0x79C8, - 0xD7D9, 0x798A, - 0xD71A, 0x794A, - 0xD65C, 0x7909, - 0xD59E, 0x78C7, - 0xD4E0, 0x7884, - 0xD423, 0x7840, - 0xD367, 0x77FA, - 0xD2AA, 0x77B4, - 0xD1EE, 0x776C, - 0xD133, 0x7723, - 0xD078, 0x76D9, - 0xCFBE, 0x768E, - 0xCF04, 0x7641, - 0xCE4A, 0x75F4, - 0xCD91, 0x75A5, - 0xCCD9, 0x7555, - 0xCC21, 0x7504, - 0xCB69, 0x74B2, - 0xCAB2, 0x745F, - 0xC9FB, 0x740B, - 0xC945, 0x73B5, - 0xC890, 0x735F, - 0xC7DB, 0x7307, - 0xC727, 0x72AF, - 0xC673, 0x7255, - 0xC5BF, 0x71FA, - 0xC50D, 0x719E, - 0xC45A, 0x7141, - 0xC3A9, 0x70E2, - 0xC2F8, 0x7083, - 0xC247, 0x7023, - 0xC197, 0x6FC1, - 0xC0E8, 0x6F5F, - 0xC03A, 0x6EFB, - 0xBF8C, 0x6E96, - 0xBEDE, 0x6E30, - 0xBE31, 0x6DCA, - 0xBD85, 0x6D62, - 0xBCDA, 0x6CF9, - 0xBC2F, 0x6C8F, - 0xBB85, 0x6C24, - 0xBADB, 0x6BB8, - 0xBA32, 0x6B4A, - 0xB98A, 0x6ADC, - 0xB8E3, 0x6A6D, - 0xB83C, 0x69FD, - 0xB796, 0x698C, - 0xB6F0, 0x6919, - 0xB64B, 0x68A6, - 0xB5A7, 0x6832, - 0xB504, 0x67BD, - 0xB461, 0x6746, - 0xB3C0, 0x66CF, - 0xB31E, 0x6657, - 0xB27E, 0x65DD, - 0xB1DE, 0x6563, - 0xB140, 0x64E8, - 0xB0A1, 0x646C, - 0xB004, 0x63EF, - 0xAF68, 0x6371, - 0xAECC, 0x62F2, - 0xAE31, 0x6271, - 0xAD96, 0x61F1, - 0xACFD, 0x616F, - 0xAC64, 0x60EC, - 0xABCC, 0x6068, - 0xAB35, 0x5FE3, - 0xAA9F, 0x5F5E, - 0xAA0A, 0x5ED7, - 0xA975, 0x5E50, - 0xA8E2, 0x5DC7, - 0xA84F, 0x5D3E, - 0xA7BD, 0x5CB4, - 0xA72B, 0x5C29, - 0xA69B, 0x5B9D, - 0xA60C, 0x5B10, - 0xA57D, 0x5A82, - 0xA4EF, 0x59F3, - 0xA462, 0x5964, - 0xA3D6, 0x58D4, - 0xA34B, 0x5842, - 0xA2C1, 0x57B0, - 0xA238, 0x571D, - 0xA1AF, 0x568A, - 0xA128, 0x55F5, - 0xA0A1, 0x5560, - 0xA01C, 0x54CA, - 0x9F97, 0x5433, - 0x9F13, 0x539B, - 0x9E90, 0x5302, - 0x9E0E, 0x5269, - 0x9D8E, 0x51CE, - 0x9D0D, 0x5133, - 0x9C8E, 0x5097, - 0x9C10, 0x4FFB, - 0x9B93, 0x4F5E, - 0x9B17, 0x4EBF, - 0x9A9C, 0x4E21, - 0x9A22, 0x4D81, - 0x99A8, 0x4CE1, - 0x9930, 0x4C3F, - 0x98B9, 0x4B9E, - 0x9842, 0x4AFB, - 0x97CD, 0x4A58, - 0x9759, 0x49B4, - 0x96E6, 0x490F, - 0x9673, 0x4869, - 0x9602, 0x47C3, - 0x9592, 0x471C, - 0x9523, 0x4675, - 0x94B5, 0x45CD, - 0x9447, 0x4524, - 0x93DB, 0x447A, - 0x9370, 0x43D0, - 0x9306, 0x4325, - 0x929D, 0x427A, - 0x9235, 0x41CE, - 0x91CF, 0x4121, - 0x9169, 0x4073, - 0x9104, 0x3FC5, - 0x90A0, 0x3F17, - 0x903E, 0x3E68, - 0x8FDC, 0x3DB8, - 0x8F7C, 0x3D07, - 0x8F1D, 0x3C56, - 0x8EBE, 0x3BA5, - 0x8E61, 0x3AF2, - 0x8E05, 0x3A40, - 0x8DAA, 0x398C, - 0x8D50, 0x38D8, - 0x8CF8, 0x3824, - 0x8CA0, 0x376F, - 0x8C4A, 0x36BA, - 0x8BF4, 0x3604, - 0x8BA0, 0x354D, - 0x8B4D, 0x3496, - 0x8AFB, 0x33DE, - 0x8AAA, 0x3326, - 0x8A5A, 0x326E, - 0x8A0B, 0x31B5, - 0x89BE, 0x30FB, - 0x8971, 0x3041, - 0x8926, 0x2F87, - 0x88DC, 0x2ECC, - 0x8893, 0x2E11, - 0x884B, 0x2D55, - 0x8805, 0x2C98, - 0x87BF, 0x2BDC, - 0x877B, 0x2B1F, - 0x8738, 0x2A61, - 0x86F6, 0x29A3, - 0x86B5, 0x28E5, - 0x8675, 0x2826, - 0x8637, 0x2767, - 0x85FA, 0x26A8, - 0x85BD, 0x25E8, - 0x8582, 0x2528, - 0x8549, 0x2467, - 0x8510, 0x23A6, - 0x84D9, 0x22E5, - 0x84A2, 0x2223, - 0x846D, 0x2161, - 0x843A, 0x209F, - 0x8407, 0x1FDC, - 0x83D6, 0x1F19, - 0x83A5, 0x1E56, - 0x8376, 0x1D93, - 0x8348, 0x1CCF, - 0x831C, 0x1C0B, - 0x82F0, 0x1B47, - 0x82C6, 0x1A82, - 0x829D, 0x19BD, - 0x8275, 0x18F8, - 0x824F, 0x1833, - 0x8229, 0x176D, - 0x8205, 0x16A8, - 0x81E2, 0x15E2, - 0x81C0, 0x151B, - 0x81A0, 0x1455, - 0x8180, 0x138E, - 0x8162, 0x12C8, - 0x8145, 0x1201, - 0x812A, 0x1139, - 0x810F, 0x1072, - 0x80F6, 0x0FAB, - 0x80DE, 0x0EE3, - 0x80C7, 0x0E1B, - 0x80B2, 0x0D53, - 0x809D, 0x0C8B, - 0x808A, 0x0BC3, - 0x8078, 0x0AFB, - 0x8068, 0x0A33, - 0x8058, 0x096A, - 0x804A, 0x08A2, - 0x803D, 0x07D9, - 0x8031, 0x0710, - 0x8027, 0x0647, - 0x801E, 0x057F, - 0x8016, 0x04B6, - 0x800F, 0x03ED, - 0x8009, 0x0324, - 0x8005, 0x025B, - 0x8002, 0x0192, - 0x8000, 0x00C9, - 0x8000, 0x0000, - 0x8000, 0xFF36, - 0x8002, 0xFE6D, - 0x8005, 0xFDA4, - 0x8009, 0xFCDB, - 0x800F, 0xFC12, - 0x8016, 0xFB49, - 0x801E, 0xFA80, - 0x8027, 0xF9B8, - 0x8031, 0xF8EF, - 0x803D, 0xF826, - 0x804A, 0xF75D, - 0x8058, 0xF695, - 0x8068, 0xF5CC, - 0x8078, 0xF504, - 0x808A, 0xF43C, - 0x809D, 0xF374, - 0x80B2, 0xF2AC, - 0x80C7, 0xF1E4, - 0x80DE, 0xF11C, - 0x80F6, 0xF054, - 0x810F, 0xEF8D, - 0x812A, 0xEEC6, - 0x8145, 0xEDFE, - 0x8162, 0xED37, - 0x8180, 0xEC71, - 0x81A0, 0xEBAA, - 0x81C0, 0xEAE4, - 0x81E2, 0xEA1D, - 0x8205, 0xE957, - 0x8229, 0xE892, - 0x824F, 0xE7CC, - 0x8275, 0xE707, - 0x829D, 0xE642, - 0x82C6, 0xE57D, - 0x82F0, 0xE4B8, - 0x831C, 0xE3F4, - 0x8348, 0xE330, - 0x8376, 0xE26C, - 0x83A5, 0xE1A9, - 0x83D6, 0xE0E6, - 0x8407, 0xE023, - 0x843A, 0xDF60, - 0x846D, 0xDE9E, - 0x84A2, 0xDDDC, - 0x84D9, 0xDD1A, - 0x8510, 0xDC59, - 0x8549, 0xDB98, - 0x8582, 0xDAD7, - 0x85BD, 0xDA17, - 0x85FA, 0xD957, - 0x8637, 0xD898, - 0x8675, 0xD7D9, - 0x86B5, 0xD71A, - 0x86F6, 0xD65C, - 0x8738, 0xD59E, - 0x877B, 0xD4E0, - 0x87BF, 0xD423, - 0x8805, 0xD367, - 0x884B, 0xD2AA, - 0x8893, 0xD1EE, - 0x88DC, 0xD133, - 0x8926, 0xD078, - 0x8971, 0xCFBE, - 0x89BE, 0xCF04, - 0x8A0B, 0xCE4A, - 0x8A5A, 0xCD91, - 0x8AAA, 0xCCD9, - 0x8AFB, 0xCC21, - 0x8B4D, 0xCB69, - 0x8BA0, 0xCAB2, - 0x8BF4, 0xC9FB, - 0x8C4A, 0xC945, - 0x8CA0, 0xC890, - 0x8CF8, 0xC7DB, - 0x8D50, 0xC727, - 0x8DAA, 0xC673, - 0x8E05, 0xC5BF, - 0x8E61, 0xC50D, - 0x8EBE, 0xC45A, - 0x8F1D, 0xC3A9, - 0x8F7C, 0xC2F8, - 0x8FDC, 0xC247, - 0x903E, 0xC197, - 0x90A0, 0xC0E8, - 0x9104, 0xC03A, - 0x9169, 0xBF8C, - 0x91CF, 0xBEDE, - 0x9235, 0xBE31, - 0x929D, 0xBD85, - 0x9306, 0xBCDA, - 0x9370, 0xBC2F, - 0x93DB, 0xBB85, - 0x9447, 0xBADB, - 0x94B5, 0xBA32, - 0x9523, 0xB98A, - 0x9592, 0xB8E3, - 0x9602, 0xB83C, - 0x9673, 0xB796, - 0x96E6, 0xB6F0, - 0x9759, 0xB64B, - 0x97CD, 0xB5A7, - 0x9842, 0xB504, - 0x98B9, 0xB461, - 0x9930, 0xB3C0, - 0x99A8, 0xB31E, - 0x9A22, 0xB27E, - 0x9A9C, 0xB1DE, - 0x9B17, 0xB140, - 0x9B93, 0xB0A1, - 0x9C10, 0xB004, - 0x9C8E, 0xAF68, - 0x9D0D, 0xAECC, - 0x9D8E, 0xAE31, - 0x9E0E, 0xAD96, - 0x9E90, 0xACFD, - 0x9F13, 0xAC64, - 0x9F97, 0xABCC, - 0xA01C, 0xAB35, - 0xA0A1, 0xAA9F, - 0xA128, 0xAA0A, - 0xA1AF, 0xA975, - 0xA238, 0xA8E2, - 0xA2C1, 0xA84F, - 0xA34B, 0xA7BD, - 0xA3D6, 0xA72B, - 0xA462, 0xA69B, - 0xA4EF, 0xA60C, - 0xA57D, 0xA57D, - 0xA60C, 0xA4EF, - 0xA69B, 0xA462, - 0xA72B, 0xA3D6, - 0xA7BD, 0xA34B, - 0xA84F, 0xA2C1, - 0xA8E2, 0xA238, - 0xA975, 0xA1AF, - 0xAA0A, 0xA128, - 0xAA9F, 0xA0A1, - 0xAB35, 0xA01C, - 0xABCC, 0x9F97, - 0xAC64, 0x9F13, - 0xACFD, 0x9E90, - 0xAD96, 0x9E0E, - 0xAE31, 0x9D8E, - 0xAECC, 0x9D0D, - 0xAF68, 0x9C8E, - 0xB004, 0x9C10, - 0xB0A1, 0x9B93, - 0xB140, 0x9B17, - 0xB1DE, 0x9A9C, - 0xB27E, 0x9A22, - 0xB31E, 0x99A8, - 0xB3C0, 0x9930, - 0xB461, 0x98B9, - 0xB504, 0x9842, - 0xB5A7, 0x97CD, - 0xB64B, 0x9759, - 0xB6F0, 0x96E6, - 0xB796, 0x9673, - 0xB83C, 0x9602, - 0xB8E3, 0x9592, - 0xB98A, 0x9523, - 0xBA32, 0x94B5, - 0xBADB, 0x9447, - 0xBB85, 0x93DB, - 0xBC2F, 0x9370, - 0xBCDA, 0x9306, - 0xBD85, 0x929D, - 0xBE31, 0x9235, - 0xBEDE, 0x91CF, - 0xBF8C, 0x9169, - 0xC03A, 0x9104, - 0xC0E8, 0x90A0, - 0xC197, 0x903E, - 0xC247, 0x8FDC, - 0xC2F8, 0x8F7C, - 0xC3A9, 0x8F1D, - 0xC45A, 0x8EBE, - 0xC50D, 0x8E61, - 0xC5BF, 0x8E05, - 0xC673, 0x8DAA, - 0xC727, 0x8D50, - 0xC7DB, 0x8CF8, - 0xC890, 0x8CA0, - 0xC945, 0x8C4A, - 0xC9FB, 0x8BF4, - 0xCAB2, 0x8BA0, - 0xCB69, 0x8B4D, - 0xCC21, 0x8AFB, - 0xCCD9, 0x8AAA, - 0xCD91, 0x8A5A, - 0xCE4A, 0x8A0B, - 0xCF04, 0x89BE, - 0xCFBE, 0x8971, - 0xD078, 0x8926, - 0xD133, 0x88DC, - 0xD1EE, 0x8893, - 0xD2AA, 0x884B, - 0xD367, 0x8805, - 0xD423, 0x87BF, - 0xD4E0, 0x877B, - 0xD59E, 0x8738, - 0xD65C, 0x86F6, - 0xD71A, 0x86B5, - 0xD7D9, 0x8675, - 0xD898, 0x8637, - 0xD957, 0x85FA, - 0xDA17, 0x85BD, - 0xDAD7, 0x8582, - 0xDB98, 0x8549, - 0xDC59, 0x8510, - 0xDD1A, 0x84D9, - 0xDDDC, 0x84A2, - 0xDE9E, 0x846D, - 0xDF60, 0x843A, - 0xE023, 0x8407, - 0xE0E6, 0x83D6, - 0xE1A9, 0x83A5, - 0xE26C, 0x8376, - 0xE330, 0x8348, - 0xE3F4, 0x831C, - 0xE4B8, 0x82F0, - 0xE57D, 0x82C6, - 0xE642, 0x829D, - 0xE707, 0x8275, - 0xE7CC, 0x824F, - 0xE892, 0x8229, - 0xE957, 0x8205, - 0xEA1D, 0x81E2, - 0xEAE4, 0x81C0, - 0xEBAA, 0x81A0, - 0xEC71, 0x8180, - 0xED37, 0x8162, - 0xEDFE, 0x8145, - 0xEEC6, 0x812A, - 0xEF8D, 0x810F, - 0xF054, 0x80F6, - 0xF11C, 0x80DE, - 0xF1E4, 0x80C7, - 0xF2AC, 0x80B2, - 0xF374, 0x809D, - 0xF43C, 0x808A, - 0xF504, 0x8078, - 0xF5CC, 0x8068, - 0xF695, 0x8058, - 0xF75D, 0x804A, - 0xF826, 0x803D, - 0xF8EF, 0x8031, - 0xF9B8, 0x8027, - 0xFA80, 0x801E, - 0xFB49, 0x8016, - 0xFC12, 0x800F, - 0xFCDB, 0x8009, - 0xFDA4, 0x8005, - 0xFE6D, 0x8002, - 0xFF36, 0x8000 -}; - -/** -* \par -* Example code for q15 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 2048 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to q15(Fixed point 1.15): -* round(twiddleCoefq15(i) * pow(2, 15)) -* -*/ -const q15_t twiddleCoef_2048_q15[3072] = { - 0x7FFF, 0x0000, - 0x7FFF, 0x0064, - 0x7FFF, 0x00C9, - 0x7FFE, 0x012D, - 0x7FFD, 0x0192, - 0x7FFC, 0x01F6, - 0x7FFA, 0x025B, - 0x7FF8, 0x02BF, - 0x7FF6, 0x0324, - 0x7FF3, 0x0388, - 0x7FF0, 0x03ED, - 0x7FED, 0x0451, - 0x7FE9, 0x04B6, - 0x7FE5, 0x051A, - 0x7FE1, 0x057F, - 0x7FDD, 0x05E3, - 0x7FD8, 0x0647, - 0x7FD3, 0x06AC, - 0x7FCE, 0x0710, - 0x7FC8, 0x0775, - 0x7FC2, 0x07D9, - 0x7FBC, 0x083D, - 0x7FB5, 0x08A2, - 0x7FAE, 0x0906, - 0x7FA7, 0x096A, - 0x7F9F, 0x09CE, - 0x7F97, 0x0A33, - 0x7F8F, 0x0A97, - 0x7F87, 0x0AFB, - 0x7F7E, 0x0B5F, - 0x7F75, 0x0BC3, - 0x7F6B, 0x0C27, - 0x7F62, 0x0C8B, - 0x7F58, 0x0CEF, - 0x7F4D, 0x0D53, - 0x7F43, 0x0DB7, - 0x7F38, 0x0E1B, - 0x7F2D, 0x0E7F, - 0x7F21, 0x0EE3, - 0x7F15, 0x0F47, - 0x7F09, 0x0FAB, - 0x7EFD, 0x100E, - 0x7EF0, 0x1072, - 0x7EE3, 0x10D6, - 0x7ED5, 0x1139, - 0x7EC8, 0x119D, - 0x7EBA, 0x1201, - 0x7EAB, 0x1264, - 0x7E9D, 0x12C8, - 0x7E8E, 0x132B, - 0x7E7F, 0x138E, - 0x7E6F, 0x13F2, - 0x7E5F, 0x1455, - 0x7E4F, 0x14B8, - 0x7E3F, 0x151B, - 0x7E2E, 0x157F, - 0x7E1D, 0x15E2, - 0x7E0C, 0x1645, - 0x7DFA, 0x16A8, - 0x7DE8, 0x170A, - 0x7DD6, 0x176D, - 0x7DC3, 0x17D0, - 0x7DB0, 0x1833, - 0x7D9D, 0x1896, - 0x7D8A, 0x18F8, - 0x7D76, 0x195B, - 0x7D62, 0x19BD, - 0x7D4E, 0x1A20, - 0x7D39, 0x1A82, - 0x7D24, 0x1AE4, - 0x7D0F, 0x1B47, - 0x7CF9, 0x1BA9, - 0x7CE3, 0x1C0B, - 0x7CCD, 0x1C6D, - 0x7CB7, 0x1CCF, - 0x7CA0, 0x1D31, - 0x7C89, 0x1D93, - 0x7C71, 0x1DF5, - 0x7C5A, 0x1E56, - 0x7C42, 0x1EB8, - 0x7C29, 0x1F19, - 0x7C11, 0x1F7B, - 0x7BF8, 0x1FDC, - 0x7BDF, 0x203E, - 0x7BC5, 0x209F, - 0x7BAC, 0x2100, - 0x7B92, 0x2161, - 0x7B77, 0x21C2, - 0x7B5D, 0x2223, - 0x7B42, 0x2284, - 0x7B26, 0x22E5, - 0x7B0B, 0x2345, - 0x7AEF, 0x23A6, - 0x7AD3, 0x2407, - 0x7AB6, 0x2467, - 0x7A9A, 0x24C7, - 0x7A7D, 0x2528, - 0x7A5F, 0x2588, - 0x7A42, 0x25E8, - 0x7A24, 0x2648, - 0x7A05, 0x26A8, - 0x79E7, 0x2707, - 0x79C8, 0x2767, - 0x79A9, 0x27C7, - 0x798A, 0x2826, - 0x796A, 0x2886, - 0x794A, 0x28E5, - 0x792A, 0x2944, - 0x7909, 0x29A3, - 0x78E8, 0x2A02, - 0x78C7, 0x2A61, - 0x78A6, 0x2AC0, - 0x7884, 0x2B1F, - 0x7862, 0x2B7D, - 0x7840, 0x2BDC, - 0x781D, 0x2C3A, - 0x77FA, 0x2C98, - 0x77D7, 0x2CF7, - 0x77B4, 0x2D55, - 0x7790, 0x2DB3, - 0x776C, 0x2E11, - 0x7747, 0x2E6E, - 0x7723, 0x2ECC, - 0x76FE, 0x2F29, - 0x76D9, 0x2F87, - 0x76B3, 0x2FE4, - 0x768E, 0x3041, - 0x7668, 0x309E, - 0x7641, 0x30FB, - 0x761B, 0x3158, - 0x75F4, 0x31B5, - 0x75CC, 0x3211, - 0x75A5, 0x326E, - 0x757D, 0x32CA, - 0x7555, 0x3326, - 0x752D, 0x3382, - 0x7504, 0x33DE, - 0x74DB, 0x343A, - 0x74B2, 0x3496, - 0x7489, 0x34F2, - 0x745F, 0x354D, - 0x7435, 0x35A8, - 0x740B, 0x3604, - 0x73E0, 0x365F, - 0x73B5, 0x36BA, - 0x738A, 0x3714, - 0x735F, 0x376F, - 0x7333, 0x37CA, - 0x7307, 0x3824, - 0x72DB, 0x387E, - 0x72AF, 0x38D8, - 0x7282, 0x3932, - 0x7255, 0x398C, - 0x7227, 0x39E6, - 0x71FA, 0x3A40, - 0x71CC, 0x3A99, - 0x719E, 0x3AF2, - 0x716F, 0x3B4C, - 0x7141, 0x3BA5, - 0x7112, 0x3BFD, - 0x70E2, 0x3C56, - 0x70B3, 0x3CAF, - 0x7083, 0x3D07, - 0x7053, 0x3D60, - 0x7023, 0x3DB8, - 0x6FF2, 0x3E10, - 0x6FC1, 0x3E68, - 0x6F90, 0x3EBF, - 0x6F5F, 0x3F17, - 0x6F2D, 0x3F6E, - 0x6EFB, 0x3FC5, - 0x6EC9, 0x401D, - 0x6E96, 0x4073, - 0x6E63, 0x40CA, - 0x6E30, 0x4121, - 0x6DFD, 0x4177, - 0x6DCA, 0x41CE, - 0x6D96, 0x4224, - 0x6D62, 0x427A, - 0x6D2D, 0x42D0, - 0x6CF9, 0x4325, - 0x6CC4, 0x437B, - 0x6C8F, 0x43D0, - 0x6C59, 0x4425, - 0x6C24, 0x447A, - 0x6BEE, 0x44CF, - 0x6BB8, 0x4524, - 0x6B81, 0x4578, - 0x6B4A, 0x45CD, - 0x6B13, 0x4621, - 0x6ADC, 0x4675, - 0x6AA5, 0x46C9, - 0x6A6D, 0x471C, - 0x6A35, 0x4770, - 0x69FD, 0x47C3, - 0x69C4, 0x4816, - 0x698C, 0x4869, - 0x6953, 0x48BC, - 0x6919, 0x490F, - 0x68E0, 0x4961, - 0x68A6, 0x49B4, - 0x686C, 0x4A06, - 0x6832, 0x4A58, - 0x67F7, 0x4AA9, - 0x67BD, 0x4AFB, - 0x6782, 0x4B4C, - 0x6746, 0x4B9E, - 0x670B, 0x4BEF, - 0x66CF, 0x4C3F, - 0x6693, 0x4C90, - 0x6657, 0x4CE1, - 0x661A, 0x4D31, - 0x65DD, 0x4D81, - 0x65A0, 0x4DD1, - 0x6563, 0x4E21, - 0x6526, 0x4E70, - 0x64E8, 0x4EBF, - 0x64AA, 0x4F0F, - 0x646C, 0x4F5E, - 0x642D, 0x4FAC, - 0x63EF, 0x4FFB, - 0x63B0, 0x5049, - 0x6371, 0x5097, - 0x6331, 0x50E5, - 0x62F2, 0x5133, - 0x62B2, 0x5181, - 0x6271, 0x51CE, - 0x6231, 0x521C, - 0x61F1, 0x5269, - 0x61B0, 0x52B5, - 0x616F, 0x5302, - 0x612D, 0x534E, - 0x60EC, 0x539B, - 0x60AA, 0x53E7, - 0x6068, 0x5433, - 0x6026, 0x547E, - 0x5FE3, 0x54CA, - 0x5FA0, 0x5515, - 0x5F5E, 0x5560, - 0x5F1A, 0x55AB, - 0x5ED7, 0x55F5, - 0x5E93, 0x5640, - 0x5E50, 0x568A, - 0x5E0B, 0x56D4, - 0x5DC7, 0x571D, - 0x5D83, 0x5767, - 0x5D3E, 0x57B0, - 0x5CF9, 0x57F9, - 0x5CB4, 0x5842, - 0x5C6E, 0x588B, - 0x5C29, 0x58D4, - 0x5BE3, 0x591C, - 0x5B9D, 0x5964, - 0x5B56, 0x59AC, - 0x5B10, 0x59F3, - 0x5AC9, 0x5A3B, - 0x5A82, 0x5A82, - 0x5A3B, 0x5AC9, - 0x59F3, 0x5B10, - 0x59AC, 0x5B56, - 0x5964, 0x5B9D, - 0x591C, 0x5BE3, - 0x58D4, 0x5C29, - 0x588B, 0x5C6E, - 0x5842, 0x5CB4, - 0x57F9, 0x5CF9, - 0x57B0, 0x5D3E, - 0x5767, 0x5D83, - 0x571D, 0x5DC7, - 0x56D4, 0x5E0B, - 0x568A, 0x5E50, - 0x5640, 0x5E93, - 0x55F5, 0x5ED7, - 0x55AB, 0x5F1A, - 0x5560, 0x5F5E, - 0x5515, 0x5FA0, - 0x54CA, 0x5FE3, - 0x547E, 0x6026, - 0x5433, 0x6068, - 0x53E7, 0x60AA, - 0x539B, 0x60EC, - 0x534E, 0x612D, - 0x5302, 0x616F, - 0x52B5, 0x61B0, - 0x5269, 0x61F1, - 0x521C, 0x6231, - 0x51CE, 0x6271, - 0x5181, 0x62B2, - 0x5133, 0x62F2, - 0x50E5, 0x6331, - 0x5097, 0x6371, - 0x5049, 0x63B0, - 0x4FFB, 0x63EF, - 0x4FAC, 0x642D, - 0x4F5E, 0x646C, - 0x4F0F, 0x64AA, - 0x4EBF, 0x64E8, - 0x4E70, 0x6526, - 0x4E21, 0x6563, - 0x4DD1, 0x65A0, - 0x4D81, 0x65DD, - 0x4D31, 0x661A, - 0x4CE1, 0x6657, - 0x4C90, 0x6693, - 0x4C3F, 0x66CF, - 0x4BEF, 0x670B, - 0x4B9E, 0x6746, - 0x4B4C, 0x6782, - 0x4AFB, 0x67BD, - 0x4AA9, 0x67F7, - 0x4A58, 0x6832, - 0x4A06, 0x686C, - 0x49B4, 0x68A6, - 0x4961, 0x68E0, - 0x490F, 0x6919, - 0x48BC, 0x6953, - 0x4869, 0x698C, - 0x4816, 0x69C4, - 0x47C3, 0x69FD, - 0x4770, 0x6A35, - 0x471C, 0x6A6D, - 0x46C9, 0x6AA5, - 0x4675, 0x6ADC, - 0x4621, 0x6B13, - 0x45CD, 0x6B4A, - 0x4578, 0x6B81, - 0x4524, 0x6BB8, - 0x44CF, 0x6BEE, - 0x447A, 0x6C24, - 0x4425, 0x6C59, - 0x43D0, 0x6C8F, - 0x437B, 0x6CC4, - 0x4325, 0x6CF9, - 0x42D0, 0x6D2D, - 0x427A, 0x6D62, - 0x4224, 0x6D96, - 0x41CE, 0x6DCA, - 0x4177, 0x6DFD, - 0x4121, 0x6E30, - 0x40CA, 0x6E63, - 0x4073, 0x6E96, - 0x401D, 0x6EC9, - 0x3FC5, 0x6EFB, - 0x3F6E, 0x6F2D, - 0x3F17, 0x6F5F, - 0x3EBF, 0x6F90, - 0x3E68, 0x6FC1, - 0x3E10, 0x6FF2, - 0x3DB8, 0x7023, - 0x3D60, 0x7053, - 0x3D07, 0x7083, - 0x3CAF, 0x70B3, - 0x3C56, 0x70E2, - 0x3BFD, 0x7112, - 0x3BA5, 0x7141, - 0x3B4C, 0x716F, - 0x3AF2, 0x719E, - 0x3A99, 0x71CC, - 0x3A40, 0x71FA, - 0x39E6, 0x7227, - 0x398C, 0x7255, - 0x3932, 0x7282, - 0x38D8, 0x72AF, - 0x387E, 0x72DB, - 0x3824, 0x7307, - 0x37CA, 0x7333, - 0x376F, 0x735F, - 0x3714, 0x738A, - 0x36BA, 0x73B5, - 0x365F, 0x73E0, - 0x3604, 0x740B, - 0x35A8, 0x7435, - 0x354D, 0x745F, - 0x34F2, 0x7489, - 0x3496, 0x74B2, - 0x343A, 0x74DB, - 0x33DE, 0x7504, - 0x3382, 0x752D, - 0x3326, 0x7555, - 0x32CA, 0x757D, - 0x326E, 0x75A5, - 0x3211, 0x75CC, - 0x31B5, 0x75F4, - 0x3158, 0x761B, - 0x30FB, 0x7641, - 0x309E, 0x7668, - 0x3041, 0x768E, - 0x2FE4, 0x76B3, - 0x2F87, 0x76D9, - 0x2F29, 0x76FE, - 0x2ECC, 0x7723, - 0x2E6E, 0x7747, - 0x2E11, 0x776C, - 0x2DB3, 0x7790, - 0x2D55, 0x77B4, - 0x2CF7, 0x77D7, - 0x2C98, 0x77FA, - 0x2C3A, 0x781D, - 0x2BDC, 0x7840, - 0x2B7D, 0x7862, - 0x2B1F, 0x7884, - 0x2AC0, 0x78A6, - 0x2A61, 0x78C7, - 0x2A02, 0x78E8, - 0x29A3, 0x7909, - 0x2944, 0x792A, - 0x28E5, 0x794A, - 0x2886, 0x796A, - 0x2826, 0x798A, - 0x27C7, 0x79A9, - 0x2767, 0x79C8, - 0x2707, 0x79E7, - 0x26A8, 0x7A05, - 0x2648, 0x7A24, - 0x25E8, 0x7A42, - 0x2588, 0x7A5F, - 0x2528, 0x7A7D, - 0x24C7, 0x7A9A, - 0x2467, 0x7AB6, - 0x2407, 0x7AD3, - 0x23A6, 0x7AEF, - 0x2345, 0x7B0B, - 0x22E5, 0x7B26, - 0x2284, 0x7B42, - 0x2223, 0x7B5D, - 0x21C2, 0x7B77, - 0x2161, 0x7B92, - 0x2100, 0x7BAC, - 0x209F, 0x7BC5, - 0x203E, 0x7BDF, - 0x1FDC, 0x7BF8, - 0x1F7B, 0x7C11, - 0x1F19, 0x7C29, - 0x1EB8, 0x7C42, - 0x1E56, 0x7C5A, - 0x1DF5, 0x7C71, - 0x1D93, 0x7C89, - 0x1D31, 0x7CA0, - 0x1CCF, 0x7CB7, - 0x1C6D, 0x7CCD, - 0x1C0B, 0x7CE3, - 0x1BA9, 0x7CF9, - 0x1B47, 0x7D0F, - 0x1AE4, 0x7D24, - 0x1A82, 0x7D39, - 0x1A20, 0x7D4E, - 0x19BD, 0x7D62, - 0x195B, 0x7D76, - 0x18F8, 0x7D8A, - 0x1896, 0x7D9D, - 0x1833, 0x7DB0, - 0x17D0, 0x7DC3, - 0x176D, 0x7DD6, - 0x170A, 0x7DE8, - 0x16A8, 0x7DFA, - 0x1645, 0x7E0C, - 0x15E2, 0x7E1D, - 0x157F, 0x7E2E, - 0x151B, 0x7E3F, - 0x14B8, 0x7E4F, - 0x1455, 0x7E5F, - 0x13F2, 0x7E6F, - 0x138E, 0x7E7F, - 0x132B, 0x7E8E, - 0x12C8, 0x7E9D, - 0x1264, 0x7EAB, - 0x1201, 0x7EBA, - 0x119D, 0x7EC8, - 0x1139, 0x7ED5, - 0x10D6, 0x7EE3, - 0x1072, 0x7EF0, - 0x100E, 0x7EFD, - 0x0FAB, 0x7F09, - 0x0F47, 0x7F15, - 0x0EE3, 0x7F21, - 0x0E7F, 0x7F2D, - 0x0E1B, 0x7F38, - 0x0DB7, 0x7F43, - 0x0D53, 0x7F4D, - 0x0CEF, 0x7F58, - 0x0C8B, 0x7F62, - 0x0C27, 0x7F6B, - 0x0BC3, 0x7F75, - 0x0B5F, 0x7F7E, - 0x0AFB, 0x7F87, - 0x0A97, 0x7F8F, - 0x0A33, 0x7F97, - 0x09CE, 0x7F9F, - 0x096A, 0x7FA7, - 0x0906, 0x7FAE, - 0x08A2, 0x7FB5, - 0x083D, 0x7FBC, - 0x07D9, 0x7FC2, - 0x0775, 0x7FC8, - 0x0710, 0x7FCE, - 0x06AC, 0x7FD3, - 0x0647, 0x7FD8, - 0x05E3, 0x7FDD, - 0x057F, 0x7FE1, - 0x051A, 0x7FE5, - 0x04B6, 0x7FE9, - 0x0451, 0x7FED, - 0x03ED, 0x7FF0, - 0x0388, 0x7FF3, - 0x0324, 0x7FF6, - 0x02BF, 0x7FF8, - 0x025B, 0x7FFA, - 0x01F6, 0x7FFC, - 0x0192, 0x7FFD, - 0x012D, 0x7FFE, - 0x00C9, 0x7FFF, - 0x0064, 0x7FFF, - 0x0000, 0x7FFF, - 0xFF9B, 0x7FFF, - 0xFF36, 0x7FFF, - 0xFED2, 0x7FFE, - 0xFE6D, 0x7FFD, - 0xFE09, 0x7FFC, - 0xFDA4, 0x7FFA, - 0xFD40, 0x7FF8, - 0xFCDB, 0x7FF6, - 0xFC77, 0x7FF3, - 0xFC12, 0x7FF0, - 0xFBAE, 0x7FED, - 0xFB49, 0x7FE9, - 0xFAE5, 0x7FE5, - 0xFA80, 0x7FE1, - 0xFA1C, 0x7FDD, - 0xF9B8, 0x7FD8, - 0xF953, 0x7FD3, - 0xF8EF, 0x7FCE, - 0xF88A, 0x7FC8, - 0xF826, 0x7FC2, - 0xF7C2, 0x7FBC, - 0xF75D, 0x7FB5, - 0xF6F9, 0x7FAE, - 0xF695, 0x7FA7, - 0xF631, 0x7F9F, - 0xF5CC, 0x7F97, - 0xF568, 0x7F8F, - 0xF504, 0x7F87, - 0xF4A0, 0x7F7E, - 0xF43C, 0x7F75, - 0xF3D8, 0x7F6B, - 0xF374, 0x7F62, - 0xF310, 0x7F58, - 0xF2AC, 0x7F4D, - 0xF248, 0x7F43, - 0xF1E4, 0x7F38, - 0xF180, 0x7F2D, - 0xF11C, 0x7F21, - 0xF0B8, 0x7F15, - 0xF054, 0x7F09, - 0xEFF1, 0x7EFD, - 0xEF8D, 0x7EF0, - 0xEF29, 0x7EE3, - 0xEEC6, 0x7ED5, - 0xEE62, 0x7EC8, - 0xEDFE, 0x7EBA, - 0xED9B, 0x7EAB, - 0xED37, 0x7E9D, - 0xECD4, 0x7E8E, - 0xEC71, 0x7E7F, - 0xEC0D, 0x7E6F, - 0xEBAA, 0x7E5F, - 0xEB47, 0x7E4F, - 0xEAE4, 0x7E3F, - 0xEA80, 0x7E2E, - 0xEA1D, 0x7E1D, - 0xE9BA, 0x7E0C, - 0xE957, 0x7DFA, - 0xE8F5, 0x7DE8, - 0xE892, 0x7DD6, - 0xE82F, 0x7DC3, - 0xE7CC, 0x7DB0, - 0xE769, 0x7D9D, - 0xE707, 0x7D8A, - 0xE6A4, 0x7D76, - 0xE642, 0x7D62, - 0xE5DF, 0x7D4E, - 0xE57D, 0x7D39, - 0xE51B, 0x7D24, - 0xE4B8, 0x7D0F, - 0xE456, 0x7CF9, - 0xE3F4, 0x7CE3, - 0xE392, 0x7CCD, - 0xE330, 0x7CB7, - 0xE2CE, 0x7CA0, - 0xE26C, 0x7C89, - 0xE20A, 0x7C71, - 0xE1A9, 0x7C5A, - 0xE147, 0x7C42, - 0xE0E6, 0x7C29, - 0xE084, 0x7C11, - 0xE023, 0x7BF8, - 0xDFC1, 0x7BDF, - 0xDF60, 0x7BC5, - 0xDEFF, 0x7BAC, - 0xDE9E, 0x7B92, - 0xDE3D, 0x7B77, - 0xDDDC, 0x7B5D, - 0xDD7B, 0x7B42, - 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0x8068, 0xF5CC, - 0x8070, 0xF568, - 0x8078, 0xF504, - 0x8081, 0xF4A0, - 0x808A, 0xF43C, - 0x8094, 0xF3D8, - 0x809D, 0xF374, - 0x80A7, 0xF310, - 0x80B2, 0xF2AC, - 0x80BC, 0xF248, - 0x80C7, 0xF1E4, - 0x80D2, 0xF180, - 0x80DE, 0xF11C, - 0x80EA, 0xF0B8, - 0x80F6, 0xF054, - 0x8102, 0xEFF1, - 0x810F, 0xEF8D, - 0x811C, 0xEF29, - 0x812A, 0xEEC6, - 0x8137, 0xEE62, - 0x8145, 0xEDFE, - 0x8154, 0xED9B, - 0x8162, 0xED37, - 0x8171, 0xECD4, - 0x8180, 0xEC71, - 0x8190, 0xEC0D, - 0x81A0, 0xEBAA, - 0x81B0, 0xEB47, - 0x81C0, 0xEAE4, - 0x81D1, 0xEA80, - 0x81E2, 0xEA1D, - 0x81F3, 0xE9BA, - 0x8205, 0xE957, - 0x8217, 0xE8F5, - 0x8229, 0xE892, - 0x823C, 0xE82F, - 0x824F, 0xE7CC, - 0x8262, 0xE769, - 0x8275, 0xE707, - 0x8289, 0xE6A4, - 0x829D, 0xE642, - 0x82B1, 0xE5DF, - 0x82C6, 0xE57D, - 0x82DB, 0xE51B, - 0x82F0, 0xE4B8, - 0x8306, 0xE456, - 0x831C, 0xE3F4, - 0x8332, 0xE392, - 0x8348, 0xE330, - 0x835F, 0xE2CE, - 0x8376, 0xE26C, - 0x838E, 0xE20A, - 0x83A5, 0xE1A9, - 0x83BD, 0xE147, - 0x83D6, 0xE0E6, - 0x83EE, 0xE084, - 0x8407, 0xE023, - 0x8420, 0xDFC1, - 0x843A, 0xDF60, - 0x8453, 0xDEFF, - 0x846D, 0xDE9E, - 0x8488, 0xDE3D, - 0x84A2, 0xDDDC, - 0x84BD, 0xDD7B, - 0x84D9, 0xDD1A, - 0x84F4, 0xDCBA, - 0x8510, 0xDC59, - 0x852C, 0xDBF8, - 0x8549, 0xDB98, - 0x8565, 0xDB38, - 0x8582, 0xDAD7, - 0x85A0, 0xDA77, - 0x85BD, 0xDA17, - 0x85DB, 0xD9B7, - 0x85FA, 0xD957, - 0x8618, 0xD8F8, - 0x8637, 0xD898, - 0x8656, 0xD838, - 0x8675, 0xD7D9, - 0x8695, 0xD779, - 0x86B5, 0xD71A, - 0x86D5, 0xD6BB, - 0x86F6, 0xD65C, - 0x8717, 0xD5FD, - 0x8738, 0xD59E, - 0x8759, 0xD53F, - 0x877B, 0xD4E0, - 0x879D, 0xD482, - 0x87BF, 0xD423, - 0x87E2, 0xD3C5, - 0x8805, 0xD367, - 0x8828, 0xD308, - 0x884B, 0xD2AA, - 0x886F, 0xD24C, - 0x8893, 0xD1EE, - 0x88B8, 0xD191, - 0x88DC, 0xD133, - 0x8901, 0xD0D6, - 0x8926, 0xD078, - 0x894C, 0xD01B, - 0x8971, 0xCFBE, - 0x8997, 0xCF61, - 0x89BE, 0xCF04, - 0x89E4, 0xCEA7, - 0x8A0B, 0xCE4A, - 0x8A33, 0xCDEE, - 0x8A5A, 0xCD91, - 0x8A82, 0xCD35, - 0x8AAA, 0xCCD9, - 0x8AD2, 0xCC7D, - 0x8AFB, 0xCC21, - 0x8B24, 0xCBC5, - 0x8B4D, 0xCB69, - 0x8B76, 0xCB0D, - 0x8BA0, 0xCAB2, - 0x8BCA, 0xCA57, - 0x8BF4, 0xC9FB, - 0x8C1F, 0xC9A0, - 0x8C4A, 0xC945, - 0x8C75, 0xC8EB, - 0x8CA0, 0xC890, - 0x8CCC, 0xC835, - 0x8CF8, 0xC7DB, - 0x8D24, 0xC781, - 0x8D50, 0xC727, - 0x8D7D, 0xC6CD, - 0x8DAA, 0xC673, - 0x8DD8, 0xC619, - 0x8E05, 0xC5BF, - 0x8E33, 0xC566, - 0x8E61, 0xC50D, - 0x8E90, 0xC4B3, - 0x8EBE, 0xC45A, - 0x8EED, 0xC402, - 0x8F1D, 0xC3A9, - 0x8F4C, 0xC350, - 0x8F7C, 0xC2F8, - 0x8FAC, 0xC29F, - 0x8FDC, 0xC247, - 0x900D, 0xC1EF, - 0x903E, 0xC197, - 0x906F, 0xC140, - 0x90A0, 0xC0E8, - 0x90D2, 0xC091, - 0x9104, 0xC03A, - 0x9136, 0xBFE2, - 0x9169, 0xBF8C, - 0x919C, 0xBF35, - 0x91CF, 0xBEDE, - 0x9202, 0xBE88, - 0x9235, 0xBE31, - 0x9269, 0xBDDB, - 0x929D, 0xBD85, - 0x92D2, 0xBD2F, - 0x9306, 0xBCDA, - 0x933B, 0xBC84, - 0x9370, 0xBC2F, - 0x93A6, 0xBBDA, - 0x93DB, 0xBB85, - 0x9411, 0xBB30, - 0x9447, 0xBADB, - 0x947E, 0xBA87, - 0x94B5, 0xBA32, - 0x94EC, 0xB9DE, - 0x9523, 0xB98A, - 0x955A, 0xB936, - 0x9592, 0xB8E3, - 0x95CA, 0xB88F, - 0x9602, 0xB83C, - 0x963B, 0xB7E9, - 0x9673, 0xB796, - 0x96AC, 0xB743, - 0x96E6, 0xB6F0, - 0x971F, 0xB69E, - 0x9759, 0xB64B, - 0x9793, 0xB5F9, - 0x97CD, 0xB5A7, - 0x9808, 0xB556, - 0x9842, 0xB504, - 0x987D, 0xB4B3, - 0x98B9, 0xB461, - 0x98F4, 0xB410, - 0x9930, 0xB3C0, - 0x996C, 0xB36F, - 0x99A8, 0xB31E, - 0x99E5, 0xB2CE, - 0x9A22, 0xB27E, - 0x9A5F, 0xB22E, - 0x9A9C, 0xB1DE, - 0x9AD9, 0xB18F, - 0x9B17, 0xB140, - 0x9B55, 0xB0F0, - 0x9B93, 0xB0A1, - 0x9BD2, 0xB053, - 0x9C10, 0xB004, - 0x9C4F, 0xAFB6, - 0x9C8E, 0xAF68, - 0x9CCE, 0xAF1A, - 0x9D0D, 0xAECC, - 0x9D4D, 0xAE7E, - 0x9D8E, 0xAE31, - 0x9DCE, 0xADE3, - 0x9E0E, 0xAD96, - 0x9E4F, 0xAD4A, - 0x9E90, 0xACFD, - 0x9ED2, 0xACB1, - 0x9F13, 0xAC64, - 0x9F55, 0xAC18, - 0x9F97, 0xABCC, - 0x9FD9, 0xAB81, - 0xA01C, 0xAB35, - 0xA05F, 0xAAEA, - 0xA0A1, 0xAA9F, - 0xA0E5, 0xAA54, - 0xA128, 0xAA0A, - 0xA16C, 0xA9BF, - 0xA1AF, 0xA975, - 0xA1F4, 0xA92B, - 0xA238, 0xA8E2, - 0xA27C, 0xA898, - 0xA2C1, 0xA84F, - 0xA306, 0xA806, - 0xA34B, 0xA7BD, - 0xA391, 0xA774, - 0xA3D6, 0xA72B, - 0xA41C, 0xA6E3, - 0xA462, 0xA69B, - 0xA4A9, 0xA653, - 0xA4EF, 0xA60C, - 0xA536, 0xA5C4, - 0xA57D, 0xA57D, - 0xA5C4, 0xA536, - 0xA60C, 0xA4EF, - 0xA653, 0xA4A9, - 0xA69B, 0xA462, - 0xA6E3, 0xA41C, - 0xA72B, 0xA3D6, - 0xA774, 0xA391, - 0xA7BD, 0xA34B, - 0xA806, 0xA306, - 0xA84F, 0xA2C1, - 0xA898, 0xA27C, - 0xA8E2, 0xA238, - 0xA92B, 0xA1F4, - 0xA975, 0xA1AF, - 0xA9BF, 0xA16C, - 0xAA0A, 0xA128, - 0xAA54, 0xA0E5, - 0xAA9F, 0xA0A1, - 0xAAEA, 0xA05F, - 0xAB35, 0xA01C, - 0xAB81, 0x9FD9, - 0xABCC, 0x9F97, - 0xAC18, 0x9F55, - 0xAC64, 0x9F13, - 0xACB1, 0x9ED2, - 0xACFD, 0x9E90, - 0xAD4A, 0x9E4F, - 0xAD96, 0x9E0E, - 0xADE3, 0x9DCE, - 0xAE31, 0x9D8E, - 0xAE7E, 0x9D4D, - 0xAECC, 0x9D0D, - 0xAF1A, 0x9CCE, - 0xAF68, 0x9C8E, - 0xAFB6, 0x9C4F, - 0xB004, 0x9C10, - 0xB053, 0x9BD2, - 0xB0A1, 0x9B93, - 0xB0F0, 0x9B55, - 0xB140, 0x9B17, - 0xB18F, 0x9AD9, - 0xB1DE, 0x9A9C, - 0xB22E, 0x9A5F, - 0xB27E, 0x9A22, - 0xB2CE, 0x99E5, - 0xB31E, 0x99A8, - 0xB36F, 0x996C, - 0xB3C0, 0x9930, - 0xB410, 0x98F4, - 0xB461, 0x98B9, - 0xB4B3, 0x987D, - 0xB504, 0x9842, - 0xB556, 0x9808, - 0xB5A7, 0x97CD, - 0xB5F9, 0x9793, - 0xB64B, 0x9759, - 0xB69E, 0x971F, - 0xB6F0, 0x96E6, - 0xB743, 0x96AC, - 0xB796, 0x9673, - 0xB7E9, 0x963B, - 0xB83C, 0x9602, - 0xB88F, 0x95CA, - 0xB8E3, 0x9592, - 0xB936, 0x955A, - 0xB98A, 0x9523, - 0xB9DE, 0x94EC, - 0xBA32, 0x94B5, - 0xBA87, 0x947E, - 0xBADB, 0x9447, - 0xBB30, 0x9411, - 0xBB85, 0x93DB, - 0xBBDA, 0x93A6, - 0xBC2F, 0x9370, - 0xBC84, 0x933B, - 0xBCDA, 0x9306, - 0xBD2F, 0x92D2, - 0xBD85, 0x929D, - 0xBDDB, 0x9269, - 0xBE31, 0x9235, - 0xBE88, 0x9202, - 0xBEDE, 0x91CF, - 0xBF35, 0x919C, - 0xBF8C, 0x9169, - 0xBFE2, 0x9136, - 0xC03A, 0x9104, - 0xC091, 0x90D2, - 0xC0E8, 0x90A0, - 0xC140, 0x906F, - 0xC197, 0x903E, - 0xC1EF, 0x900D, - 0xC247, 0x8FDC, - 0xC29F, 0x8FAC, - 0xC2F8, 0x8F7C, - 0xC350, 0x8F4C, - 0xC3A9, 0x8F1D, - 0xC402, 0x8EED, - 0xC45A, 0x8EBE, - 0xC4B3, 0x8E90, - 0xC50D, 0x8E61, - 0xC566, 0x8E33, - 0xC5BF, 0x8E05, - 0xC619, 0x8DD8, - 0xC673, 0x8DAA, - 0xC6CD, 0x8D7D, - 0xC727, 0x8D50, - 0xC781, 0x8D24, - 0xC7DB, 0x8CF8, - 0xC835, 0x8CCC, - 0xC890, 0x8CA0, - 0xC8EB, 0x8C75, - 0xC945, 0x8C4A, - 0xC9A0, 0x8C1F, - 0xC9FB, 0x8BF4, - 0xCA57, 0x8BCA, - 0xCAB2, 0x8BA0, - 0xCB0D, 0x8B76, - 0xCB69, 0x8B4D, - 0xCBC5, 0x8B24, - 0xCC21, 0x8AFB, - 0xCC7D, 0x8AD2, - 0xCCD9, 0x8AAA, - 0xCD35, 0x8A82, - 0xCD91, 0x8A5A, - 0xCDEE, 0x8A33, - 0xCE4A, 0x8A0B, - 0xCEA7, 0x89E4, - 0xCF04, 0x89BE, - 0xCF61, 0x8997, - 0xCFBE, 0x8971, - 0xD01B, 0x894C, - 0xD078, 0x8926, - 0xD0D6, 0x8901, - 0xD133, 0x88DC, - 0xD191, 0x88B8, - 0xD1EE, 0x8893, - 0xD24C, 0x886F, - 0xD2AA, 0x884B, - 0xD308, 0x8828, - 0xD367, 0x8805, - 0xD3C5, 0x87E2, - 0xD423, 0x87BF, - 0xD482, 0x879D, - 0xD4E0, 0x877B, - 0xD53F, 0x8759, - 0xD59E, 0x8738, - 0xD5FD, 0x8717, - 0xD65C, 0x86F6, - 0xD6BB, 0x86D5, - 0xD71A, 0x86B5, - 0xD779, 0x8695, - 0xD7D9, 0x8675, - 0xD838, 0x8656, - 0xD898, 0x8637, - 0xD8F8, 0x8618, - 0xD957, 0x85FA, - 0xD9B7, 0x85DB, - 0xDA17, 0x85BD, - 0xDA77, 0x85A0, - 0xDAD7, 0x8582, - 0xDB38, 0x8565, - 0xDB98, 0x8549, - 0xDBF8, 0x852C, - 0xDC59, 0x8510, - 0xDCBA, 0x84F4, - 0xDD1A, 0x84D9, - 0xDD7B, 0x84BD, - 0xDDDC, 0x84A2, - 0xDE3D, 0x8488, - 0xDE9E, 0x846D, - 0xDEFF, 0x8453, - 0xDF60, 0x843A, - 0xDFC1, 0x8420, - 0xE023, 0x8407, - 0xE084, 0x83EE, - 0xE0E6, 0x83D6, - 0xE147, 0x83BD, - 0xE1A9, 0x83A5, - 0xE20A, 0x838E, - 0xE26C, 0x8376, - 0xE2CE, 0x835F, - 0xE330, 0x8348, - 0xE392, 0x8332, - 0xE3F4, 0x831C, - 0xE456, 0x8306, - 0xE4B8, 0x82F0, - 0xE51B, 0x82DB, - 0xE57D, 0x82C6, - 0xE5DF, 0x82B1, - 0xE642, 0x829D, - 0xE6A4, 0x8289, - 0xE707, 0x8275, - 0xE769, 0x8262, - 0xE7CC, 0x824F, - 0xE82F, 0x823C, - 0xE892, 0x8229, - 0xE8F5, 0x8217, - 0xE957, 0x8205, - 0xE9BA, 0x81F3, - 0xEA1D, 0x81E2, - 0xEA80, 0x81D1, - 0xEAE4, 0x81C0, - 0xEB47, 0x81B0, - 0xEBAA, 0x81A0, - 0xEC0D, 0x8190, - 0xEC71, 0x8180, - 0xECD4, 0x8171, - 0xED37, 0x8162, - 0xED9B, 0x8154, - 0xEDFE, 0x8145, - 0xEE62, 0x8137, - 0xEEC6, 0x812A, - 0xEF29, 0x811C, - 0xEF8D, 0x810F, - 0xEFF1, 0x8102, - 0xF054, 0x80F6, - 0xF0B8, 0x80EA, - 0xF11C, 0x80DE, - 0xF180, 0x80D2, - 0xF1E4, 0x80C7, - 0xF248, 0x80BC, - 0xF2AC, 0x80B2, - 0xF310, 0x80A7, - 0xF374, 0x809D, - 0xF3D8, 0x8094, - 0xF43C, 0x808A, - 0xF4A0, 0x8081, - 0xF504, 0x8078, - 0xF568, 0x8070, - 0xF5CC, 0x8068, - 0xF631, 0x8060, - 0xF695, 0x8058, - 0xF6F9, 0x8051, - 0xF75D, 0x804A, - 0xF7C2, 0x8043, - 0xF826, 0x803D, - 0xF88A, 0x8037, - 0xF8EF, 0x8031, - 0xF953, 0x802C, - 0xF9B8, 0x8027, - 0xFA1C, 0x8022, - 0xFA80, 0x801E, - 0xFAE5, 0x801A, - 0xFB49, 0x8016, - 0xFBAE, 0x8012, - 0xFC12, 0x800F, - 0xFC77, 0x800C, - 0xFCDB, 0x8009, - 0xFD40, 0x8007, - 0xFDA4, 0x8005, - 0xFE09, 0x8003, - 0xFE6D, 0x8002, - 0xFED2, 0x8001, - 0xFF36, 0x8000, - 0xFF9B, 0x8000 -}; - -/** -* \par -* Example code for q15 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to q15(Fixed point 1.15): -* round(twiddleCoefq15(i) * pow(2, 15)) -* -*/ -const q15_t twiddleCoef_4096_q15[6144] = -{ - 0x7FFF, 0x0000, - 0x7FFF, 0x0032, - 0x7FFF, 0x0064, - 0x7FFF, 0x0096, - 0x7FFF, 0x00C9, - 0x7FFF, 0x00FB, - 0x7FFE, 0x012D, - 0x7FFE, 0x015F, - 0x7FFD, 0x0192, - 0x7FFC, 0x01C4, - 0x7FFC, 0x01F6, - 0x7FFB, 0x0228, - 0x7FFA, 0x025B, - 0x7FF9, 0x028D, - 0x7FF8, 0x02BF, - 0x7FF7, 0x02F1, - 0x7FF6, 0x0324, - 0x7FF4, 0x0356, - 0x7FF3, 0x0388, - 0x7FF2, 0x03BA, - 0x7FF0, 0x03ED, - 0x7FEE, 0x041F, - 0x7FED, 0x0451, - 0x7FEB, 0x0483, - 0x7FE9, 0x04B6, - 0x7FE7, 0x04E8, - 0x7FE5, 0x051A, - 0x7FE3, 0x054C, - 0x7FE1, 0x057F, - 0x7FDF, 0x05B1, - 0x7FDD, 0x05E3, - 0x7FDA, 0x0615, - 0x7FD8, 0x0647, - 0x7FD6, 0x067A, - 0x7FD3, 0x06AC, - 0x7FD0, 0x06DE, - 0x7FCE, 0x0710, - 0x7FCB, 0x0742, - 0x7FC8, 0x0775, - 0x7FC5, 0x07A7, - 0x7FC2, 0x07D9, - 0x7FBF, 0x080B, - 0x7FBC, 0x083D, - 0x7FB8, 0x086F, - 0x7FB5, 0x08A2, - 0x7FB1, 0x08D4, - 0x7FAE, 0x0906, - 0x7FAA, 0x0938, - 0x7FA7, 0x096A, - 0x7FA3, 0x099C, - 0x7F9F, 0x09CE, - 0x7F9B, 0x0A00, - 0x7F97, 0x0A33, - 0x7F93, 0x0A65, - 0x7F8F, 0x0A97, - 0x7F8B, 0x0AC9, - 0x7F87, 0x0AFB, - 0x7F82, 0x0B2D, - 0x7F7E, 0x0B5F, - 0x7F79, 0x0B91, - 0x7F75, 0x0BC3, - 0x7F70, 0x0BF5, - 0x7F6B, 0x0C27, - 0x7F67, 0x0C59, - 0x7F62, 0x0C8B, - 0x7F5D, 0x0CBD, - 0x7F58, 0x0CEF, - 0x7F53, 0x0D21, - 0x7F4D, 0x0D53, - 0x7F48, 0x0D85, - 0x7F43, 0x0DB7, - 0x7F3D, 0x0DE9, - 0x7F38, 0x0E1B, - 0x7F32, 0x0E4D, - 0x7F2D, 0x0E7F, - 0x7F27, 0x0EB1, - 0x7F21, 0x0EE3, - 0x7F1B, 0x0F15, - 0x7F15, 0x0F47, - 0x7F0F, 0x0F79, - 0x7F09, 0x0FAB, - 0x7F03, 0x0FDD, - 0x7EFD, 0x100E, - 0x7EF6, 0x1040, - 0x7EF0, 0x1072, - 0x7EE9, 0x10A4, - 0x7EE3, 0x10D6, - 0x7EDC, 0x1108, - 0x7ED5, 0x1139, - 0x7ECF, 0x116B, - 0x7EC8, 0x119D, - 0x7EC1, 0x11CF, - 0x7EBA, 0x1201, - 0x7EB3, 0x1232, - 0x7EAB, 0x1264, - 0x7EA4, 0x1296, - 0x7E9D, 0x12C8, - 0x7E95, 0x12F9, - 0x7E8E, 0x132B, - 0x7E86, 0x135D, - 0x7E7F, 0x138E, - 0x7E77, 0x13C0, - 0x7E6F, 0x13F2, - 0x7E67, 0x1423, - 0x7E5F, 0x1455, - 0x7E57, 0x1487, - 0x7E4F, 0x14B8, - 0x7E47, 0x14EA, - 0x7E3F, 0x151B, - 0x7E37, 0x154D, - 0x7E2E, 0x157F, - 0x7E26, 0x15B0, - 0x7E1D, 0x15E2, - 0x7E14, 0x1613, - 0x7E0C, 0x1645, - 0x7E03, 0x1676, - 0x7DFA, 0x16A8, - 0x7DF1, 0x16D9, - 0x7DE8, 0x170A, - 0x7DDF, 0x173C, - 0x7DD6, 0x176D, - 0x7DCD, 0x179F, - 0x7DC3, 0x17D0, - 0x7DBA, 0x1802, - 0x7DB0, 0x1833, - 0x7DA7, 0x1864, - 0x7D9D, 0x1896, - 0x7D94, 0x18C7, - 0x7D8A, 0x18F8, - 0x7D80, 0x192A, - 0x7D76, 0x195B, - 0x7D6C, 0x198C, - 0x7D62, 0x19BD, - 0x7D58, 0x19EF, - 0x7D4E, 0x1A20, - 0x7D43, 0x1A51, - 0x7D39, 0x1A82, - 0x7D2F, 0x1AB3, - 0x7D24, 0x1AE4, - 0x7D19, 0x1B16, - 0x7D0F, 0x1B47, - 0x7D04, 0x1B78, - 0x7CF9, 0x1BA9, - 0x7CEE, 0x1BDA, - 0x7CE3, 0x1C0B, - 0x7CD8, 0x1C3C, - 0x7CCD, 0x1C6D, - 0x7CC2, 0x1C9E, - 0x7CB7, 0x1CCF, - 0x7CAB, 0x1D00, - 0x7CA0, 0x1D31, - 0x7C94, 0x1D62, - 0x7C89, 0x1D93, - 0x7C7D, 0x1DC4, - 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0xBFE2, 0x9136, - 0xC00E, 0x911D, - 0xC03A, 0x9104, - 0xC065, 0x90EB, - 0xC091, 0x90D2, - 0xC0BC, 0x90B9, - 0xC0E8, 0x90A0, - 0xC114, 0x9088, - 0xC140, 0x906F, - 0xC16C, 0x9056, - 0xC197, 0x903E, - 0xC1C3, 0x9025, - 0xC1EF, 0x900D, - 0xC21B, 0x8FF5, - 0xC247, 0x8FDC, - 0xC273, 0x8FC4, - 0xC29F, 0x8FAC, - 0xC2CC, 0x8F94, - 0xC2F8, 0x8F7C, - 0xC324, 0x8F64, - 0xC350, 0x8F4C, - 0xC37C, 0x8F34, - 0xC3A9, 0x8F1D, - 0xC3D5, 0x8F05, - 0xC402, 0x8EED, - 0xC42E, 0x8ED6, - 0xC45A, 0x8EBE, - 0xC487, 0x8EA7, - 0xC4B3, 0x8E90, - 0xC4E0, 0x8E79, - 0xC50D, 0x8E61, - 0xC539, 0x8E4A, - 0xC566, 0x8E33, - 0xC593, 0x8E1C, - 0xC5BF, 0x8E05, - 0xC5EC, 0x8DEE, - 0xC619, 0x8DD8, - 0xC646, 0x8DC1, - 0xC673, 0x8DAA, - 0xC6A0, 0x8D94, - 0xC6CD, 0x8D7D, - 0xC6F9, 0x8D67, - 0xC727, 0x8D50, - 0xC754, 0x8D3A, - 0xC781, 0x8D24, - 0xC7AE, 0x8D0E, - 0xC7DB, 0x8CF8, - 0xC808, 0x8CE2, - 0xC835, 0x8CCC, - 0xC863, 0x8CB6, - 0xC890, 0x8CA0, - 0xC8BD, 0x8C8A, - 0xC8EB, 0x8C75, - 0xC918, 0x8C5F, - 0xC945, 0x8C4A, - 0xC973, 0x8C34, - 0xC9A0, 0x8C1F, - 0xC9CE, 0x8C09, - 0xC9FB, 0x8BF4, - 0xCA29, 0x8BDF, - 0xCA57, 0x8BCA, - 0xCA84, 0x8BB5, - 0xCAB2, 0x8BA0, - 0xCAE0, 0x8B8B, - 0xCB0D, 0x8B76, - 0xCB3B, 0x8B61, - 0xCB69, 0x8B4D, - 0xCB97, 0x8B38, - 0xCBC5, 0x8B24, - 0xCBF3, 0x8B0F, - 0xCC21, 0x8AFB, - 0xCC4F, 0x8AE6, - 0xCC7D, 0x8AD2, - 0xCCAB, 0x8ABE, - 0xCCD9, 0x8AAA, - 0xCD07, 0x8A96, - 0xCD35, 0x8A82, - 0xCD63, 0x8A6E, - 0xCD91, 0x8A5A, - 0xCDBF, 0x8A46, - 0xCDEE, 0x8A33, - 0xCE1C, 0x8A1F, - 0xCE4A, 0x8A0B, - 0xCE79, 0x89F8, - 0xCEA7, 0x89E4, - 0xCED5, 0x89D1, - 0xCF04, 0x89BE, - 0xCF32, 0x89AB, - 0xCF61, 0x8997, - 0xCF8F, 0x8984, - 0xCFBE, 0x8971, - 0xCFEC, 0x895F, - 0xD01B, 0x894C, - 0xD04A, 0x8939, - 0xD078, 0x8926, - 0xD0A7, 0x8914, - 0xD0D6, 0x8901, - 0xD104, 0x88EF, - 0xD133, 0x88DC, - 0xD162, 0x88CA, - 0xD191, 0x88B8, - 0xD1C0, 0x88A5, - 0xD1EE, 0x8893, - 0xD21D, 0x8881, - 0xD24C, 0x886F, - 0xD27B, 0x885D, - 0xD2AA, 0x884B, - 0xD2D9, 0x883A, - 0xD308, 0x8828, - 0xD337, 0x8816, - 0xD367, 0x8805, - 0xD396, 0x87F3, - 0xD3C5, 0x87E2, - 0xD3F4, 0x87D1, - 0xD423, 0x87BF, - 0xD452, 0x87AE, - 0xD482, 0x879D, - 0xD4B1, 0x878C, - 0xD4E0, 0x877B, - 0xD510, 0x876A, - 0xD53F, 0x8759, - 0xD56E, 0x8749, - 0xD59E, 0x8738, - 0xD5CD, 0x8727, - 0xD5FD, 0x8717, - 0xD62C, 0x8706, - 0xD65C, 0x86F6, - 0xD68B, 0x86E6, - 0xD6BB, 0x86D5, - 0xD6EA, 0x86C5, - 0xD71A, 0x86B5, - 0xD74A, 0x86A5, - 0xD779, 0x8695, - 0xD7A9, 0x8685, - 0xD7D9, 0x8675, - 0xD809, 0x8666, - 0xD838, 0x8656, - 0xD868, 0x8646, - 0xD898, 0x8637, - 0xD8C8, 0x8627, - 0xD8F8, 0x8618, - 0xD927, 0x8609, - 0xD957, 0x85FA, - 0xD987, 0x85EA, - 0xD9B7, 0x85DB, - 0xD9E7, 0x85CC, - 0xDA17, 0x85BD, - 0xDA47, 0x85AF, - 0xDA77, 0x85A0, - 0xDAA7, 0x8591, - 0xDAD7, 0x8582, - 0xDB08, 0x8574, - 0xDB38, 0x8565, - 0xDB68, 0x8557, - 0xDB98, 0x8549, - 0xDBC8, 0x853A, - 0xDBF8, 0x852C, - 0xDC29, 0x851E, - 0xDC59, 0x8510, - 0xDC89, 0x8502, - 0xDCBA, 0x84F4, - 0xDCEA, 0x84E6, - 0xDD1A, 0x84D9, - 0xDD4B, 0x84CB, - 0xDD7B, 0x84BD, - 0xDDAB, 0x84B0, - 0xDDDC, 0x84A2, - 0xDE0C, 0x8495, - 0xDE3D, 0x8488, - 0xDE6D, 0x847B, - 0xDE9E, 0x846D, - 0xDECE, 0x8460, - 0xDEFF, 0x8453, - 0xDF2F, 0x8446, - 0xDF60, 0x843A, - 0xDF91, 0x842D, - 0xDFC1, 0x8420, - 0xDFF2, 0x8414, - 0xE023, 0x8407, - 0xE053, 0x83FA, - 0xE084, 0x83EE, - 0xE0B5, 0x83E2, - 0xE0E6, 0x83D6, - 0xE116, 0x83C9, - 0xE147, 0x83BD, - 0xE178, 0x83B1, - 0xE1A9, 0x83A5, - 0xE1DA, 0x8399, - 0xE20A, 0x838E, - 0xE23B, 0x8382, - 0xE26C, 0x8376, - 0xE29D, 0x836B, - 0xE2CE, 0x835F, - 0xE2FF, 0x8354, - 0xE330, 0x8348, - 0xE361, 0x833D, - 0xE392, 0x8332, - 0xE3C3, 0x8327, - 0xE3F4, 0x831C, - 0xE425, 0x8311, - 0xE456, 0x8306, - 0xE487, 0x82FB, - 0xE4B8, 0x82F0, - 0xE4E9, 0x82E6, - 0xE51B, 0x82DB, - 0xE54C, 0x82D0, - 0xE57D, 0x82C6, - 0xE5AE, 0x82BC, - 0xE5DF, 0x82B1, - 0xE610, 0x82A7, - 0xE642, 0x829D, - 0xE673, 0x8293, - 0xE6A4, 0x8289, - 0xE6D5, 0x827F, - 0xE707, 0x8275, - 0xE738, 0x826B, - 0xE769, 0x8262, - 0xE79B, 0x8258, - 0xE7CC, 0x824F, - 0xE7FD, 0x8245, - 0xE82F, 0x823C, - 0xE860, 0x8232, - 0xE892, 0x8229, - 0xE8C3, 0x8220, - 0xE8F5, 0x8217, - 0xE926, 0x820E, - 0xE957, 0x8205, - 0xE989, 0x81FC, - 0xE9BA, 0x81F3, - 0xE9EC, 0x81EB, - 0xEA1D, 0x81E2, - 0xEA4F, 0x81D9, - 0xEA80, 0x81D1, - 0xEAB2, 0x81C8, - 0xEAE4, 0x81C0, - 0xEB15, 0x81B8, - 0xEB47, 0x81B0, - 0xEB78, 0x81A8, - 0xEBAA, 0x81A0, - 0xEBDC, 0x8198, - 0xEC0D, 0x8190, - 0xEC3F, 0x8188, - 0xEC71, 0x8180, - 0xECA2, 0x8179, - 0xECD4, 0x8171, - 0xED06, 0x816A, - 0xED37, 0x8162, - 0xED69, 0x815B, - 0xED9B, 0x8154, - 0xEDCD, 0x814C, - 0xEDFE, 0x8145, - 0xEE30, 0x813E, - 0xEE62, 0x8137, - 0xEE94, 0x8130, - 0xEEC6, 0x812A, - 0xEEF7, 0x8123, - 0xEF29, 0x811C, - 0xEF5B, 0x8116, - 0xEF8D, 0x810F, - 0xEFBF, 0x8109, - 0xEFF1, 0x8102, - 0xF022, 0x80FC, - 0xF054, 0x80F6, - 0xF086, 0x80F0, - 0xF0B8, 0x80EA, - 0xF0EA, 0x80E4, - 0xF11C, 0x80DE, - 0xF14E, 0x80D8, - 0xF180, 0x80D2, - 0xF1B2, 0x80CD, - 0xF1E4, 0x80C7, - 0xF216, 0x80C2, - 0xF248, 0x80BC, - 0xF27A, 0x80B7, - 0xF2AC, 0x80B2, - 0xF2DE, 0x80AC, - 0xF310, 0x80A7, - 0xF342, 0x80A2, - 0xF374, 0x809D, - 0xF3A6, 0x8098, - 0xF3D8, 0x8094, - 0xF40A, 0x808F, - 0xF43C, 0x808A, - 0xF46E, 0x8086, - 0xF4A0, 0x8081, - 0xF4D2, 0x807D, - 0xF504, 0x8078, - 0xF536, 0x8074, - 0xF568, 0x8070, - 0xF59A, 0x806C, - 0xF5CC, 0x8068, - 0xF5FF, 0x8064, - 0xF631, 0x8060, - 0xF663, 0x805C, - 0xF695, 0x8058, - 0xF6C7, 0x8055, - 0xF6F9, 0x8051, - 0xF72B, 0x804E, - 0xF75D, 0x804A, - 0xF790, 0x8047, - 0xF7C2, 0x8043, - 0xF7F4, 0x8040, - 0xF826, 0x803D, - 0xF858, 0x803A, - 0xF88A, 0x8037, - 0xF8BD, 0x8034, - 0xF8EF, 0x8031, - 0xF921, 0x802F, - 0xF953, 0x802C, - 0xF985, 0x8029, - 0xF9B8, 0x8027, - 0xF9EA, 0x8025, - 0xFA1C, 0x8022, - 0xFA4E, 0x8020, - 0xFA80, 0x801E, - 0xFAB3, 0x801C, - 0xFAE5, 0x801A, - 0xFB17, 0x8018, - 0xFB49, 0x8016, - 0xFB7C, 0x8014, - 0xFBAE, 0x8012, - 0xFBE0, 0x8011, - 0xFC12, 0x800F, - 0xFC45, 0x800D, - 0xFC77, 0x800C, - 0xFCA9, 0x800B, - 0xFCDB, 0x8009, - 0xFD0E, 0x8008, - 0xFD40, 0x8007, - 0xFD72, 0x8006, - 0xFDA4, 0x8005, - 0xFDD7, 0x8004, - 0xFE09, 0x8003, - 0xFE3B, 0x8003, - 0xFE6D, 0x8002, - 0xFEA0, 0x8001, - 0xFED2, 0x8001, - 0xFF04, 0x8000, - 0xFF36, 0x8000, - 0xFF69, 0x8000, - 0xFF9B, 0x8000, - 0xFFCD, 0x8000 -}; - - -/** -* @} end of CFFT_CIFFT group -*/ - -/* -* @brief Q15 table for reciprocal -*/ -const q15_t ALIGN4 armRecipTableQ15[64] = { - 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0, - 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82, - 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484, - 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0, - 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E, - 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255, - 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6, - 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978, - 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8, - 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255, - 0x41CC, 0x4146, 0x40C2, 0x4040 -}; - -/* -* @brief Q31 table for reciprocal -*/ -const q31_t armRecipTableQ31[64] = { - 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928, - 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3, - 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519, - 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB, - 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318, - 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0, - 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D, - 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96, - 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2, - 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426, - 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102 -}; - -const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE__16_TABLE_LENGTH] = -{ - //8x2, size 20 - 8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112 -}; - -const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE__32_TABLE_LENGTH] = -{ - //8x4, size 48 - 8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208, - 80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208, - 152,224, 176,208, 184,232, 216,240, 200,224, 232,240 -}; - -const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE__64_TABLE_LENGTH] = -{ - //radix 8, size 56 - 8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200, - 96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400, - 184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480, - 368,424, 376,488, 440,496 -}; - -const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] = -{ - //8x2, size 208 - 8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768, - 80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520, - 144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776, - 208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320, - 280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400, - 360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584, - 424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600, - 488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608, - 568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864, - 632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808, - 720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832, - 792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008, - 904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008 -}; - -const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] = -{ - //8x4, size 440 - 8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640, - 80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768, - 144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384, - 200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984, - 256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608, - 320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736, - 384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864, - 448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992, - 520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104, - 568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720, - 624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160, - 680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936, - 736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048, - 792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808, - 848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544, - 904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880, - 960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496, - 1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120, - 1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552, - 1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824, - 1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672, - 1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016, - 1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640, - 1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432, - 1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936, - 1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960, - 1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648, - 1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936, - 1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928, - 1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840, - 1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888, - 1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032, - 1960,1968, 2008,2032, 1992,2016, 2024,2032 -}; - -const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] = -{ - //radix 8, size 448 - 8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576, - 80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152, - 152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216, - 216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280, - 280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344, - 344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408, - 408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472, - 472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544, - 544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120, - 616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696, - 688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272, - 760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848, - 848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416, - 920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992, - 992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576, - 1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152, - 1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728, - 1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808, - 1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384, - 1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960, - 1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536, - 1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136, - 1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224, - 1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328, - 1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416, - 1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520, - 2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616, - 2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744, - 2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872, - 2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000, - 2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176, - 2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368, - 2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560, - 3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888, - 3448,3952, 3512,4016, 3576,4080 -}; - -const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE1024_TABLE_LENGTH] = -{ - //8x2, size 1800 - 8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048, - 72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048, - 136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696, - 192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648, - 248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248, - 304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200, - 360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800, - 416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752, - 472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352, - 528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304, - 584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936, - 640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856, - 696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488, - 752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408, - 808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040, - 864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960, - 920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592, - 976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096, - 1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544, - 1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080, - 1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400, - 1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120, - 1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656, - 1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168, - 1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696, - 1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208, - 1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736, - 1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272, - 1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480, - 1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312, - 1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848, - 1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280, - 1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888, - 1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288, - 1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928, - 1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464, - 1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592, - 1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504, - 1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040, - 2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136, - 2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088, - 2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816, - 2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576, - 2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664, - 2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264, - 2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800, - 2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304, - 2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840, - 2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376, - 2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392, - 2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344, - 2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944, - 2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480, - 2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016, - 2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032, - 2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984, - 2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584, - 2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632, - 3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632, - 3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168, - 3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704, - 3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208, - 3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744, - 3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248, - 3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784, - 3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320, - 3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824, - 3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360, - 3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896, - 3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400, - 3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936, - 3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440, - 3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976, - 3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512, - 3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016, - 3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552, - 3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088, - 3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592, - 4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128, - 4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160, - 4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176, - 4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712, - 4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216, - 4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752, - 4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416, - 4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304, - 4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624, - 4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296, - 4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680, - 4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208, - 4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400, - 4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808, - 4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688, - 4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976, - 4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160, - 4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344, - 4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728, - 4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736, - 5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928, - 5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872, - 5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672, - 5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208, - 5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456, - 5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248, - 5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784, - 5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448, - 5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824, - 5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240, - 5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504, - 5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168, - 5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264, - 5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456, - 5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552, - 5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312, - 5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576, - 5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248, - 5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504, - 5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360, - 6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624, - 6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384, - 6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264, - 6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664, - 6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520, - 6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280, - 6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536, - 6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048, - 6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752, - 6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992, - 6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280, - 6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856, - 6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024, - 6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624, - 6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104, - 7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664, - 7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280, - 7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688, - 7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952, - 7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456, - 7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864, - 7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784, - 7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048, - 7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728, - 7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096, - 7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112, - 7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984, - 8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160, - 8112,8136, 8120,8168, 8136,8160, 8152,8176 -}; - -const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH] = -{ - //8x2, size 3808 - 8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024, - 72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824, - 128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752, - 184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680, - 240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576, - 296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376, - 352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304, - 408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232, - 464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048, - 520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928, - 576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856, - 632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784, - 688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712, - 744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480, - 800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408, - 856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336, - 912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264, - 968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064, - 1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960, - 1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792, - 1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496, - 1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328, - 1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032, - 1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928, - 1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856, - 1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560, - 1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392, - 1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096, - 1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240, - 1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600, - 1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432, - 1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136, - 1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968, - 1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640, - 1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392, - 1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176, - 1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008, - 1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712, - 2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096, - 2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712, - 2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480, - 2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248, - 2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080, - 2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784, - 2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248, - 2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288, - 2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128, - 2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824, - 2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656, - 2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328, - 2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400, - 2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864, - 2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280, - 2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400, - 2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168, - 2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904, - 2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552, - 2920,5832, 2928,9928, 2936,14024, 2944,7176, 2952,6344, 2960,10440, - 2968,14536, 2976,7304, 2984,6856, 2992,10952, 3000,15048, 3008,3272, - 3016,7368, 3024,11464, 3032,15560, 3040,3784, 3048,7880, 3056,11976, - 3064,16072, 3072,4160, 3080,4360, 3088,8456, 3096,12552, 3104,4288, - 3112,4872, 3120,8968, 3128,13064, 3136,4416, 3144,5384, 3152,9480, - 3160,13576, 3168,4544, 3176,5896, 3184,9992, 3192,14088, 3200,4168, - 3208,6408, 3216,10504, 3224,14600, 3232,4296, 3240,6920, 3248,11016, - 3256,15112, 3264,3336, 3272,7432, 3280,11528, 3288,15624, 3296,3848, - 3304,7944, 3312,12040, 3320,16136, 3328,5184, 3336,4424, 3344,8520, - 3352,12616, 3360,5312, 3368,4936, 3376,9032, 3384,13128, 3392,5440, - 3400,5448, 3408,9544, 3416,13640, 3424,5568, 3432,5960, 3440,10056, - 3448,14152, 3456,5192, 3464,6472, 3472,10568, 3480,14664, 3488,5320, - 3496,6984, 3504,11080, 3512,15176, 3520,5448, 3528,7496, 3536,11592, - 3544,15688, 3552,3912, 3560,8008, 3568,12104, 3576,16200, 3584,6208, - 3592,4488, 3600,8584, 3608,12680, 3616,6336, 3624,5000, 3632,9096, - 3640,13192, 3648,6464, 3656,5512, 3664,9608, 3672,13704, 3680,6592, - 3688,6024, 3696,10120, 3704,14216, 3712,6216, 3720,6536, 3728,10632, - 3736,14728, 3744,6344, 3752,7048, 3760,11144, 3768,15240, 3776,6472, - 3784,7560, 3792,11656, 3800,15752, 3808,3976, 3816,8072, 3824,12168, - 3832,16264, 3840,7232, 3848,4552, 3856,8648, 3864,12744, 3872,7360, - 3880,5064, 3888,9160, 3896,13256, 3904,7488, 3912,5576, 3920,9672, - 3928,13768, 3936,7616, 3944,6088, 3952,10184, 3960,14280, 3968,7240, - 3976,6600, 3984,10696, 3992,14792, 4000,7368, 4008,7112, 4016,11208, - 4024,15304, 4032,7496, 4040,7624, 4048,11720, 4056,15816, 4064,7624, - 4072,8136, 4080,12232, 4088,16328, 4096,8192, 4104,4112, 4112,8208, - 4120,12304, 4128,8320, 4136,4624, 4144,8720, 4152,12816, 4160,8448, - 4168,5136, 4176,9232, 4184,13328, 4192,8576, 4200,5648, 4208,9744, - 4216,13840, 4224,8200, 4232,6160, 4240,10256, 4248,14352, 4256,8328, - 4264,6672, 4272,10768, 4280,14864, 4288,8456, 4296,7184, 4304,11280, - 4312,15376, 4320,8584, 4328,7696, 4336,11792, 4344,15888, 4352,9216, - 4360,9232, 4368,8272, 4376,12368, 4384,9344, 4392,4688, 4400,8784, - 4408,12880, 4416,9472, 4424,5200, 4432,9296, 4440,13392, 4448,9600, - 4456,5712, 4464,9808, 4472,13904, 4480,9224, 4488,6224, 4496,10320, - 4504,14416, 4512,9352, 4520,6736, 4528,10832, 4536,14928, 4544,9480, - 4552,7248, 4560,11344, 4568,15440, 4576,9608, 4584,7760, 4592,11856, - 4600,15952, 4608,10240, 4616,10256, 4624,8336, 4632,12432, 4640,10368, - 4648,4752, 4656,8848, 4664,12944, 4672,10496, 4680,5264, 4688,9360, - 4696,13456, 4704,10624, 4712,5776, 4720,9872, 4728,13968, 4736,10248, - 4744,6288, 4752,10384, 4760,14480, 4768,10376, 4776,6800, 4784,10896, - 4792,14992, 4800,10504, 4808,7312, 4816,11408, 4824,15504, 4832,10632, - 4840,7824, 4848,11920, 4856,16016, 4864,11264, 4872,11280, 4880,8400, - 4888,12496, 4896,11392, 4904,11408, 4912,8912, 4920,13008, 4928,11520, - 4936,5328, 4944,9424, 4952,13520, 4960,11648, 4968,5840, 4976,9936, - 4984,14032, 4992,11272, 5000,6352, 5008,10448, 5016,14544, 5024,11400, - 5032,6864, 5040,10960, 5048,15056, 5056,11528, 5064,7376, 5072,11472, - 5080,15568, 5088,11656, 5096,7888, 5104,11984, 5112,16080, 5120,8256, - 5128,8272, 5136,8464, 5144,12560, 5152,8384, 5160,8400, 5168,8976, - 5176,13072, 5184,8512, 5192,5392, 5200,9488, 5208,13584, 5216,8640, - 5224,5904, 5232,10000, 5240,14096, 5248,8264, 5256,6416, 5264,10512, - 5272,14608, 5280,8392, 5288,6928, 5296,11024, 5304,15120, 5312,8520, - 5320,7440, 5328,11536, 5336,15632, 5344,8648, 5352,7952, 5360,12048, - 5368,16144, 5376,9280, 5384,9296, 5392,8528, 5400,12624, 5408,9408, - 5416,9424, 5424,9040, 5432,13136, 5440,9536, 5448,5456, 5456,9552, - 5464,13648, 5472,9664, 5480,5968, 5488,10064, 5496,14160, 5504,9288, - 5512,6480, 5520,10576, 5528,14672, 5536,9416, 5544,6992, 5552,11088, - 5560,15184, 5568,9544, 5576,7504, 5584,11600, 5592,15696, 5600,9672, - 5608,8016, 5616,12112, 5624,16208, 5632,10304, 5640,10320, 5648,8592, - 5656,12688, 5664,10432, 5672,10448, 5680,9104, 5688,13200, 5696,10560, - 5704,10576, 5712,9616, 5720,13712, 5728,10688, 5736,6032, 5744,10128, - 5752,14224, 5760,10312, 5768,6544, 5776,10640, 5784,14736, 5792,10440, - 5800,7056, 5808,11152, 5816,15248, 5824,10568, 5832,7568, 5840,11664, - 5848,15760, 5856,10696, 5864,8080, 5872,12176, 5880,16272, 5888,11328, - 5896,11344, 5904,8656, 5912,12752, 5920,11456, 5928,11472, 5936,9168, - 5944,13264, 5952,11584, 5960,11600, 5968,9680, 5976,13776, 5984,11712, - 5992,6096, 6000,10192, 6008,14288, 6016,11336, 6024,6608, 6032,10704, - 6040,14800, 6048,11464, 6056,7120, 6064,11216, 6072,15312, 6080,11592, - 6088,7632, 6096,11728, 6104,15824, 6112,11720, 6120,8144, 6128,12240, - 6136,16336, 6144,12288, 6152,12304, 6160,8216, 6168,12312, 6176,12416, - 6184,12432, 6192,8728, 6200,12824, 6208,12544, 6216,12560, 6224,9240, - 6232,13336, 6240,12672, 6248,12688, 6256,9752, 6264,13848, 6272,12296, - 6280,12312, 6288,10264, 6296,14360, 6304,12424, 6312,6680, 6320,10776, - 6328,14872, 6336,12552, 6344,7192, 6352,11288, 6360,15384, 6368,12680, - 6376,7704, 6384,11800, 6392,15896, 6400,13312, 6408,13328, 6416,8280, - 6424,12376, 6432,13440, 6440,13456, 6448,8792, 6456,12888, 6464,13568, - 6472,13584, 6480,9304, 6488,13400, 6496,13696, 6504,13712, 6512,9816, - 6520,13912, 6528,13320, 6536,13336, 6544,10328, 6552,14424, 6560,13448, - 6568,6744, 6576,10840, 6584,14936, 6592,13576, 6600,7256, 6608,11352, - 6616,15448, 6624,13704, 6632,7768, 6640,11864, 6648,15960, 6656,14336, - 6664,14352, 6672,8344, 6680,12440, 6688,14464, 6696,14480, 6704,8856, - 6712,12952, 6720,14592, 6728,14608, 6736,9368, 6744,13464, 6752,14720, - 6760,14736, 6768,9880, 6776,13976, 6784,14344, 6792,14360, 6800,10392, - 6808,14488, 6816,14472, 6824,14488, 6832,10904, 6840,15000, 6848,14600, - 6856,7320, 6864,11416, 6872,15512, 6880,14728, 6888,7832, 6896,11928, - 6904,16024, 6912,15360, 6920,15376, 6928,8408, 6936,12504, 6944,15488, - 6952,15504, 6960,8920, 6968,13016, 6976,15616, 6984,15632, 6992,9432, - 7000,13528, 7008,15744, 7016,15760, 7024,9944, 7032,14040, 7040,15368, - 7048,15384, 7056,10456, 7064,14552, 7072,15496, 7080,15512, 7088,10968, - 7096,15064, 7104,15624, 7112,7384, 7120,11480, 7128,15576, 7136,15752, - 7144,7896, 7152,11992, 7160,16088, 7168,12352, 7176,12368, 7184,8472, - 7192,12568, 7200,12480, 7208,12496, 7216,8984, 7224,13080, 7232,12608, - 7240,12624, 7248,9496, 7256,13592, 7264,12736, 7272,12752, 7280,10008, - 7288,14104, 7296,12360, 7304,12376, 7312,10520, 7320,14616, 7328,12488, - 7336,12504, 7344,11032, 7352,15128, 7360,12616, 7368,7448, 7376,11544, - 7384,15640, 7392,12744, 7400,7960, 7408,12056, 7416,16152, 7424,13376, - 7432,13392, 7440,8536, 7448,12632, 7456,13504, 7464,13520, 7472,9048, - 7480,13144, 7488,13632, 7496,13648, 7504,9560, 7512,13656, 7520,13760, - 7528,13776, 7536,10072, 7544,14168, 7552,13384, 7560,13400, 7568,10584, - 7576,14680, 7584,13512, 7592,13528, 7600,11096, 7608,15192, 7616,13640, - 7624,13656, 7632,11608, 7640,15704, 7648,13768, 7656,8024, 7664,12120, - 7672,16216, 7680,14400, 7688,14416, 7696,8600, 7704,12696, 7712,14528, - 7720,14544, 7728,9112, 7736,13208, 7744,14656, 7752,14672, 7760,9624, - 7768,13720, 7776,14784, 7784,14800, 7792,10136, 7800,14232, 7808,14408, - 7816,14424, 7824,10648, 7832,14744, 7840,14536, 7848,14552, 7856,11160, - 7864,15256, 7872,14664, 7880,14680, 7888,11672, 7896,15768, 7904,14792, - 7912,8088, 7920,12184, 7928,16280, 7936,15424, 7944,15440, 7952,8664, - 7960,12760, 7968,15552, 7976,15568, 7984,9176, 7992,13272, 8000,15680, - 8008,15696, 8016,9688, 8024,13784, 8032,15808, 8040,15824, 8048,10200, - 8056,14296, 8064,15432, 8072,15448, 8080,10712, 8088,14808, 8096,15560, - 8104,15576, 8112,11224, 8120,15320, 8128,15688, 8136,15704, 8144,11736, - 8152,15832, 8160,15816, 8168,15832, 8176,12248, 8184,16344, 8200,8320, - 8208,8224, 8216,12320, 8232,10368, 8240,8736, 8248,12832, 8256,8448, - 8264,8384, 8272,9248, 8280,13344, 8288,9232, 8296,10432, 8304,9760, - 8312,13856, 8328,12416, 8336,10272, 8344,14368, 8352,12296, 8360,14464, - 8368,10784, 8376,14880, 8384,8456, 8392,12480, 8400,11296, 8408,15392, - 8416,12552, 8424,14528, 8432,11808, 8440,15904, 8448,9216, 8456,8576, - 8464,9232, 8472,12384, 8480,9248, 8488,10624, 8496,8800, 8504,12896, - 8512,9472, 8520,8640, 8528,9312, 8536,13408, 8544,9296, 8552,10688, - 8560,9824, 8568,13920, 8576,9224, 8584,12672, 8592,10336, 8600,14432, - 8608,13320, 8616,14720, 8624,10848, 8632,14944, 8640,9480, 8648,12736, - 8656,11360, 8664,15456, 8672,13576, 8680,14784, 8688,11872, 8696,15968, - 8704,12288, 8712,12416, 8720,12296, 8728,12448, 8736,12304, 8744,10376, - 8752,8864, 8760,12960, 8768,12352, 8776,12480, 8784,9376, 8792,13472, - 8800,12368, 8808,10440, 8816,9888, 8824,13984, 8832,12320, 8840,12424, - 8848,10400, 8856,14496, 8864,12312, 8872,14472, 8880,10912, 8888,15008, - 8896,12384, 8904,12488, 8912,11424, 8920,15520, 8928,12568, 8936,14536, - 8944,11936, 8952,16032, 8960,12544, 8968,12672, 8976,12552, 8984,12512, - 8992,12560, 9000,10632, 9008,12568, 9016,13024, 9024,12608, 9032,12736, - 9040,9440, 9048,13536, 9056,12624, 9064,10696, 9072,9952, 9080,14048, - 9088,9240, 9096,12680, 9104,10464, 9112,14560, 9120,13336, 9128,14728, - 9136,10976, 9144,15072, 9152,9496, 9160,12744, 9168,11488, 9176,15584, - 9184,13592, 9192,14792, 9200,12000, 9208,16096, 9224,9344, 9232,9248, - 9240,12576, 9256,11392, 9264,12560, 9272,13088, 9280,9472, 9288,9408, - 9296,9504, 9304,13600, 9312,9488, 9320,11456, 9328,10016, 9336,14112, - 9352,13440, 9360,10528, 9368,14624, 9376,12360, 9384,15488, 9392,11040, - 9400,15136, 9408,9480, 9416,13504, 9424,11552, 9432,15648, 9440,12616, - 9448,15552, 9456,12064, 9464,16160, 9480,9600, 9488,9504, 9496,12640, - 9512,11648, 9520,12624, 9528,13152, 9544,9664, 9552,9568, 9560,13664, - 9576,11712, 9584,10080, 9592,14176, 9608,13696, 9616,10592, 9624,14688, - 9632,13384, 9640,15744, 9648,11104, 9656,15200, 9672,13760, 9680,11616, - 9688,15712, 9696,13640, 9704,15808, 9712,12128, 9720,16224, 9728,13312, - 9736,13440, 9744,13320, 9752,12704, 9760,13328, 9768,11400, 9776,13336, - 9784,13216, 9792,13376, 9800,13504, 9808,13384, 9816,13728, 9824,13392, - 9832,11464, 9840,10144, 9848,14240, 9856,13344, 9864,13448, 9872,10656, - 9880,14752, 9888,12376, 9896,15496, 9904,11168, 9912,15264, 9920,13408, - 9928,13512, 9936,11680, 9944,15776, 9952,12632, 9960,15560, 9968,12192, - 9976,16288, 9984,13568, 9992,13696, 10000,13576, 10008,12768, 10016,13584, - 10024,11656, 10032,13592, 10040,13280, 10048,13632, 10056,13760, - 10064,13640, 10072,13792, 10080,13648, 10088,11720, 10096,10208, - 10104,14304, 10112,13600, 10120,13704, 10128,10720, 10136,14816, - 10144,13400, 10152,15752, 10160,11232, 10168,15328, 10176,13664, - 10184,13768, 10192,11744, 10200,15840, 10208,13656, 10216,15816, - 10224,12256, 10232,16352, 10248,10272, 10256,10368, 10264,12328, - 10280,10384, 10288,10376, 10296,12840, 10304,11264, 10312,11296, - 10320,11392, 10328,13352, 10336,11272, 10344,10448, 10352,11400, - 10360,13864, 10376,12432, 10392,14376, 10400,12328, 10408,14480, - 10416,10792, 10424,14888, 10432,11280, 10440,12496, 10448,11304, - 10456,15400, 10464,11288, 10472,14544, 10480,11816, 10488,15912, - 10496,11264, 10504,11272, 10512,11280, 10520,12392, 10528,11296, - 10536,10640, 10544,12496, 10552,12904, 10560,11328, 10568,11360, - 10576,11456, 10584,13416, 10592,11336, 10600,10704, 10608,11464, - 10616,13928, 10624,11392, 10632,12688, 10640,11304, 10648,14440, - 10656,13352, 10664,14736, 10672,10856, 10680,14952, 10688,11344, - 10696,12752, 10704,11368, 10712,15464, 10720,11352, 10728,14800, - 10736,11880, 10744,15976, 10752,14336, 10760,14368, 10768,14464, - 10776,12456, 10784,14344, 10792,14376, 10800,14472, 10808,12968, - 10816,15360, 10824,15392, 10832,15488, 10840,13480, 10848,15368, - 10856,15400, 10864,15496, 10872,13992, 10880,14352, 10888,12440, - 10896,14480, 10904,14504, 10912,14360, 10920,14488, 10928,14488, - 10936,15016, 10944,15376, 10952,12504, 10960,11432, 10968,15528, - 10976,15384, 10984,14552, 10992,11944, 11000,16040, 11008,14400, - 11016,14432, 11024,14528, 11032,12520, 11040,14408, 11048,14440, - 11056,14536, 11064,13032, 11072,15424, 11080,15456, 11088,15552, - 11096,13544, 11104,15432, 11112,15464, 11120,15560, 11128,14056, - 11136,14416, 11144,12696, 11152,14544, 11160,14568, 11168,14424, - 11176,14744, 11184,14552, 11192,15080, 11200,15440, 11208,12760, - 11216,11496, 11224,15592, 11232,15448, 11240,14808, 11248,12008, - 11256,16104, 11272,11296, 11280,11392, 11288,12584, 11304,11408, - 11312,12688, 11320,13096, 11328,11520, 11336,11552, 11344,11648, - 11352,13608, 11360,11528, 11368,11472, 11376,11656, 11384,14120, - 11400,13456, 11416,14632, 11424,12392, 11432,15504, 11440,14440, - 11448,15144, 11456,11536, 11464,13520, 11472,11560, 11480,15656, - 11488,11544, 11496,15568, 11504,12072, 11512,16168, 11528,11552, - 11536,11648, 11544,12648, 11560,11664, 11568,12752, 11576,13160, - 11592,11616, 11600,11712, 11608,13672, 11624,11728, 11632,11720, - 11640,14184, 11656,13712, 11672,14696, 11680,13416, 11688,15760, - 11696,15464, 11704,15208, 11720,13776, 11736,15720, 11744,13672, - 11752,15824, 11760,12136, 11768,16232, 11776,14592, 11784,14624, - 11792,14720, 11800,12712, 11808,14600, 11816,14632, 11824,14728, - 11832,13224, 11840,15616, 11848,15648, 11856,15744, 11864,13736, - 11872,15624, 11880,15656, 11888,15752, 11896,14248, 11904,14608, - 11912,13464, 11920,14736, 11928,14760, 11936,14616, 11944,15512, - 11952,14744, 11960,15272, 11968,15632, 11976,13528, 11984,15760, - 11992,15784, 12000,15640, 12008,15576, 12016,12200, 12024,16296, - 12032,14656, 12040,14688, 12048,14784, 12056,12776, 12064,14664, - 12072,14696, 12080,14792, 12088,13288, 12096,15680, 12104,15712, - 12112,15808, 12120,13800, 12128,15688, 12136,15720, 12144,15816, - 12152,14312, 12160,14672, 12168,13720, 12176,14800, 12184,14824, - 12192,14680, 12200,15768, 12208,14808, 12216,15336, 12224,15696, - 12232,13784, 12240,15824, 12248,15848, 12256,15704, 12264,15832, - 12272,15832, 12280,16360, 12312,12336, 12344,12848, 12352,12544, - 12360,12552, 12368,12560, 12376,13360, 12384,12576, 12392,12584, - 12400,13336, 12408,13872, 12424,12448, 12440,14384, 12456,14496, - 12464,14472, 12472,14896, 12480,12672, 12488,12512, 12496,12688, - 12504,15408, 12512,12680, 12520,14560, 12528,14728, 12536,15920, - 12544,13312, 12552,13320, 12560,13328, 12568,13336, 12576,13344, - 12584,13352, 12592,13360, 12600,12912, 12608,13568, 12616,13576, - 12624,13584, 12632,13424, 12640,13600, 12648,13608, 12656,13400, - 12664,13936, 12672,13440, 12680,12704, 12688,13456, 12696,14448, - 12704,13448, 12712,14752, 12720,15496, 12728,14960, 12736,13696, - 12744,12768, 12752,13712, 12760,15472, 12768,13704, 12776,14816, - 12784,15752, 12792,15984, 12800,14336, 12808,14464, 12816,14344, - 12824,14472, 12832,14352, 12840,14480, 12848,14360, 12856,12976, - 12864,14400, 12872,14528, 12880,14408, 12888,13488, 12896,14416, - 12904,14544, 12912,14424, 12920,14000, 12928,14368, 12936,14496, - 12944,14376, 12952,14512, 12960,14384, 12968,14504, 12976,14488, - 12984,15024, 12992,14432, 13000,14560, 13008,14440, 13016,15536, - 13024,14448, 13032,14568, 13040,14744, 13048,16048, 13056,14592, - 13064,14720, 13072,14600, 13080,14728, 13088,14608, 13096,14736, - 13104,14616, 13112,14744, 13120,14656, 13128,14784, 13136,14664, - 13144,13552, 13152,14672, 13160,14800, 13168,14680, 13176,14064, - 13184,14624, 13192,14752, 13200,14632, 13208,14576, 13216,13464, - 13224,14760, 13232,15512, 13240,15088, 13248,14688, 13256,14816, - 13264,14696, 13272,15600, 13280,13720, 13288,14824, 13296,15768, - 13304,16112, 13336,13360, 13368,14616, 13376,13568, 13384,13576, - 13392,13584, 13400,13616, 13408,13600, 13416,13608, 13424,13592, - 13432,14128, 13448,13472, 13464,14640, 13480,15520, 13488,14536, - 13496,15152, 13504,13696, 13512,13536, 13520,13712, 13528,15664, - 13536,13704, 13544,15584, 13552,14792, 13560,16176, 13592,13616, - 13624,14680, 13656,13680, 13688,14192, 13704,13728, 13720,14704, - 13736,15776, 13744,15560, 13752,15216, 13768,13792, 13784,15728, - 13800,15840, 13808,15816, 13816,16240, 13824,15360, 13832,15488, - 13840,15368, 13848,15496, 13856,15376, 13864,15504, 13872,15384, - 13880,15512, 13888,15424, 13896,15552, 13904,15432, 13912,15560, - 13920,15440, 13928,15568, 13936,15448, 13944,14256, 13952,15392, - 13960,15520, 13968,15400, 13976,14768, 13984,15408, 13992,15528, - 14000,14552, 14008,15280, 14016,15456, 14024,15584, 14032,15464, - 14040,15792, 14048,15472, 14056,15592, 14064,14808, 14072,16304, - 14080,15616, 14088,15744, 14096,15624, 14104,15752, 14112,15632, - 14120,15760, 14128,15640, 14136,15768, 14144,15680, 14152,15808, - 14160,15688, 14168,15816, 14176,15696, 14184,15824, 14192,15704, - 14200,14320, 14208,15648, 14216,15776, 14224,15656, 14232,14832, - 14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712, - 14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848, - 14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600, - 14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640, - 14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728, - 14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928, - 14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384, - 14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616, - 14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656, - 14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504, - 14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528, - 14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776, - 14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880, - 14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024, - 14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232, - 14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024, - 15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544, - 15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872, - 15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016, - 15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160, - 15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304, - 15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008, - 15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152, - 15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296, - 15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632, - 15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768, - 15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760, - 15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184, - 15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856, - 15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000, - 15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160, - 15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264, - 15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048, - 16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184, - 16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264, - 16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208, - 16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352, - 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368, - 16328,16352, 16360,16368 -}; - -const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH] = -{ - //radix 8, size 4032 - 8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512, - 72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184, - 128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600, - 184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016, - 240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432, - 296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848, - 352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264, - 408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680, - 464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160, - 528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672, - 592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088, - 648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760, - 704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176, - 760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592, - 816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008, - 872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424, - 928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840, - 984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224, - 1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800, - 1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216, - 1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632, - 1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952, - 1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272, - 1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848, - 1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168, - 1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488, - 1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808, - 1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384, - 1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768, - 1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184, - 1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600, - 1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016, - 1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336, - 1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912, - 1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232, - 1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552, - 1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872, - 2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448, - 2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832, - 2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248, - 2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664, - 2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080, - 2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496, - 2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816, - 2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392, - 2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712, - 2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032, - 2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416, - 2576,8512, 2584,12608, 2592,16704, 2600,20800, 2608,24896, 2616,28992, - 2632,4928, 2640,9024, 2648,13120, 2656,17216, 2664,21312, 2672,25408, - 2680,29504, 2696,5440, 2704,9536, 2712,13632, 2720,17728, 2728,21824, - 2736,25920, 2744,30016, 2760,5952, 2768,10048, 2776,14144, 2784,18240, - 2792,22336, 2800,26432, 2808,30528, 2824,6464, 2832,10560, 2840,14656, - 2848,18752, 2856,22848, 2864,26944, 2872,31040, 2888,6976, 2896,11072, - 2904,15168, 2912,19264, 2920,23360, 2928,27456, 2936,31552, 2944,3392, - 2952,7488, 2960,11584, 2968,15680, 2976,19776, 2984,23872, 2992,27968, - 3000,32064, 3008,3904, 3016,8000, 3024,12096, 3032,16192, 3040,20288, - 3048,24384, 3056,28480, 3064,32576, 3080,4480, 3088,8576, 3096,12672, - 3104,16768, 3112,20864, 3120,24960, 3128,29056, 3144,4992, 3152,9088, - 3160,13184, 3168,17280, 3176,21376, 3184,25472, 3192,29568, 3208,5504, - 3216,9600, 3224,13696, 3232,17792, 3240,21888, 3248,25984, 3256,30080, - 3272,6016, 3280,10112, 3288,14208, 3296,18304, 3304,22400, 3312,26496, - 3320,30592, 3336,6528, 3344,10624, 3352,14720, 3360,18816, 3368,22912, - 3376,27008, 3384,31104, 3400,7040, 3408,11136, 3416,15232, 3424,19328, - 3432,23424, 3440,27520, 3448,31616, 3464,7552, 3472,11648, 3480,15744, - 3488,19840, 3496,23936, 3504,28032, 3512,32128, 3520,3968, 3528,8064, - 3536,12160, 3544,16256, 3552,20352, 3560,24448, 3568,28544, 3576,32640, - 3592,4544, 3600,8640, 3608,12736, 3616,16832, 3624,20928, 3632,25024, - 3640,29120, 3656,5056, 3664,9152, 3672,13248, 3680,17344, 3688,21440, - 3696,25536, 3704,29632, 3720,5568, 3728,9664, 3736,13760, 3744,17856, - 3752,21952, 3760,26048, 3768,30144, 3784,6080, 3792,10176, 3800,14272, - 3808,18368, 3816,22464, 3824,26560, 3832,30656, 3848,6592, 3856,10688, - 3864,14784, 3872,18880, 3880,22976, 3888,27072, 3896,31168, 3912,7104, - 3920,11200, 3928,15296, 3936,19392, 3944,23488, 3952,27584, 3960,31680, - 3976,7616, 3984,11712, 3992,15808, 4000,19904, 4008,24000, 4016,28096, - 4024,32192, 4040,8128, 4048,12224, 4056,16320, 4064,20416, 4072,24512, - 4080,28608, 4088,32704, 4112,8200, 4120,12296, 4128,16392, 4136,20488, - 4144,24584, 4152,28680, 4168,4616, 4176,8712, 4184,12808, 4192,16904, - 4200,21000, 4208,25096, 4216,29192, 4232,5128, 4240,9224, 4248,13320, - 4256,17416, 4264,21512, 4272,25608, 4280,29704, 4296,5640, 4304,9736, - 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15464,21400, 15472,25496, 15480,29592, 15520,17816, 15528,21912, - 15536,26008, 15544,30104, 15584,18328, 15592,22424, 15600,26520, - 15608,30616, 15648,18840, 15656,22936, 15664,27032, 15672,31128, - 15712,19352, 15720,23448, 15728,27544, 15736,31640, 15776,19864, - 15784,23960, 15792,28056, 15800,32152, 15832,16280, 15840,20376, - 15848,24472, 15856,28568, 15864,32664, 15904,16856, 15912,20952, - 15920,25048, 15928,29144, 15968,17368, 15976,21464, 15984,25560, - 15992,29656, 16032,17880, 16040,21976, 16048,26072, 16056,30168, - 16096,18392, 16104,22488, 16112,26584, 16120,30680, 16160,18904, - 16168,23000, 16176,27096, 16184,31192, 16224,19416, 16232,23512, - 16240,27608, 16248,31704, 16288,19928, 16296,24024, 16304,28120, - 16312,32216, 16352,20440, 16360,24536, 16368,28632, 16376,32728, - 16424,20512, 16432,24608, 16440,28704, 16480,16928, 16488,21024, - 16496,25120, 16504,29216, 16544,17440, 16552,21536, 16560,25632, - 16568,29728, 16608,17952, 16616,22048, 16624,26144, 16632,30240, - 16672,18464, 16680,22560, 16688,26656, 16696,30752, 16736,18976, - 16744,23072, 16752,27168, 16760,31264, 16800,19488, 16808,23584, - 16816,27680, 16824,31776, 16864,20000, 16872,24096, 16880,28192, - 16888,32288, 16936,20576, 16944,24672, 16952,28768, 17000,21088, - 17008,25184, 17016,29280, 17056,17504, 17064,21600, 17072,25696, - 17080,29792, 17120,18016, 17128,22112, 17136,26208, 17144,30304, - 17184,18528, 17192,22624, 17200,26720, 17208,30816, 17248,19040, - 17256,23136, 17264,27232, 17272,31328, 17312,19552, 17320,23648, - 17328,27744, 17336,31840, 17376,20064, 17384,24160, 17392,28256, - 17400,32352, 17448,20640, 17456,24736, 17464,28832, 17512,21152, - 17520,25248, 17528,29344, 17576,21664, 17584,25760, 17592,29856, - 17632,18080, 17640,22176, 17648,26272, 17656,30368, 17696,18592, - 17704,22688, 17712,26784, 17720,30880, 17760,19104, 17768,23200, - 17776,27296, 17784,31392, 17824,19616, 17832,23712, 17840,27808, - 17848,31904, 17888,20128, 17896,24224, 17904,28320, 17912,32416, - 17960,20704, 17968,24800, 17976,28896, 18024,21216, 18032,25312, - 18040,29408, 18088,21728, 18096,25824, 18104,29920, 18152,22240, - 18160,26336, 18168,30432, 18208,18656, 18216,22752, 18224,26848, - 18232,30944, 18272,19168, 18280,23264, 18288,27360, 18296,31456, - 18336,19680, 18344,23776, 18352,27872, 18360,31968, 18400,20192, - 18408,24288, 18416,28384, 18424,32480, 18472,20768, 18480,24864, - 18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792, - 18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496, - 18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328, - 18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936, - 18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544, - 18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440, - 19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368, - 19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072, - 19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904, - 19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512, - 19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408, - 19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112, - 19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040, - 19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968, - 19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576, - 19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472, - 20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176, - 20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104, - 20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032, - 20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736, - 20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224, - 20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152, - 20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080, - 20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784, - 20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776, - 21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800, - 21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728, - 21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656, - 21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360, - 21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768, - 21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696, - 21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400, - 21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328, - 22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416, - 22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760, - 22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464, - 22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392, - 22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480, - 22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920, - 22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848, - 22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552, - 23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960, - 23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080, - 23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104, - 23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096, - 23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536, - 23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656, - 23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680, - 24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088, - 24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208, - 24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648, - 24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648, - 24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768, - 24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208, - 25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808, - 25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248, - 25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368, - 25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384, - 25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824, - 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424, - 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376, - 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496, - 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024, - 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464, - 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576, - 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528, - 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640, - 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688, - 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216, - 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752, - 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312, - 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864, - 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928, - 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504, - 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632, - 32248,32696 -}; - - -const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH] = -{ - //radix 4, size 12 - 8,64, 16,32, 24,96, 40,80, 56,112, 88,104 -}; - -const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH] = -{ - //4x2, size 24 - 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144, - 88,208, 104,176, 120,240, 152,200, 184,232 -}; - -const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH] = -{ - //radix 4, size 56 - 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352, - 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432, - 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472 -}; - -const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH] = -{ - //4x2, size 112 - 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192, - 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608, - 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912, - 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624, - 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968, - 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984 -}; - -const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH] = -{ - //radix 4, size 240 - 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640, - 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320, - 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960, - 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672, - 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376, - 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040, - 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912, - 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488, - 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456, - 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520, - 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928, - 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832, - 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816, - 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976 -}; - -const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH] = -{ - //4x2, size 480 - 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280, - 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640, - 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944, - 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648, - 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216, - 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960, - 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616, - 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184, - 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976, - 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400, - 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784, - 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064, - 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344, - 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728, - 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152, - 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920, - 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024, - 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376, - 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480, - 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696, - 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824, - 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312, - 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464, - 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912, - 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624, - 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008, - 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072, - 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928, - 3512,3800, 3576,4056, 3704,3896, 3832,4024 -}; - -const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] = -{ - //radix 4, size 992 - 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, - 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, - 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, - 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, - 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, - 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, - 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, - 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, - 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, - 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, - 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, - 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, - 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, - 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, - 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, - 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, - 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, - 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, - 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, - 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, - 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, - 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, - 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, - 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, - 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, - 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, - 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, - 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, - 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, - 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, - 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, - 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, - 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, - 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, - 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, - 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, - 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, - 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, - 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, - 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, - 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, - 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, - 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, - 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, - 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, - 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, - 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, - 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, - 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, - 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, - 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, - 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, - 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, - 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, - 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, - 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, - 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, - 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, - 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, - 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, - 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, - 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, - 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, - 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, - 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, - 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, - 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, - 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, - 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 -}; - -const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] = -{ - //4x2, size 1984 - 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, - 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, - 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, - 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, - 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, - 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, - 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, - 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, - 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, - 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, - 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, - 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, - 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, - 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, - 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, - 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, - 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, - 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, - 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, - 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, - 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, - 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, - 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, - 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, - 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, - 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, - 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, - 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, - 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, - 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, - 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, - 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, - 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, - 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, - 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, - 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, - 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, - 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, - 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, - 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, - 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, - 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, - 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, - 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, - 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, - 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, - 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, - 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, - 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, - 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, - 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, - 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, - 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, - 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, - 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, - 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, - 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, - 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, - 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, - 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, - 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, - 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, - 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, - 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, - 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, - 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, - 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, - 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, - 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, - 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, - 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, - 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, - 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, - 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, - 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, - 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, - 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, - 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, - 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, - 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, - 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, - 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, - 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, - 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, - 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, - 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, - 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, - 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, - 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, - 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, - 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, - 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, - 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, - 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, - 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, - 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, - 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, - 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, - 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, - 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, - 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, - 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, - 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, - 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, - 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, - 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, - 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, - 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, - 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, - 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, - 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, - 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, - 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, - 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, - 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064, - 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136, - 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400, - 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960, - 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608, - 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240, - 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312, - 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824, - 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616, - 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128, - 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200, - 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560, - 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072, - 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816, - 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, - 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, - 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, - 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, - 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, - 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, - 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, - 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, - 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, - 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, - 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, - 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, - 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, - 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, - 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, - 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, - 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, - 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, - 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, - 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, - 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, - 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, - 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 -}; - -const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] = -{ - //radix 4, size 4032 - 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, - 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, - 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, - 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, - 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, - 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, - 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, - 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, - 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, - 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, - 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, - 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, - 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, - 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, - 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, - 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, - 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, - 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, - 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, - 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, - 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, - 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, - 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, - 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, - 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976, - 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144, - 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288, - 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576, - 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432, - 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720, - 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888, - 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032, - 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088, - 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944, - 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232, - 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400, - 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544, - 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256, - 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496, - 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784, - 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376, - 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232, - 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152, - 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008, - 2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296, - 2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888, - 2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744, - 2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896, - 2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560, - 2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728, - 2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392, - 2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680, - 2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312, - 2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976, - 2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432, - 2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288, - 3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576, - 3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480, - 3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720, - 3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312, - 3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840, - 3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896, - 3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136, - 3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424, - 3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016, - 3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872, - 3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024, - 3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688, - 3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856, - 3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144, - 3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808, - 3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440, - 3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104, - 3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560, - 4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224, - 4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416, - 4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464, - 4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752, - 4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344, - 4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584, - 4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640, - 4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168, - 4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760, - 4504,26144, 4512,5664, 4520,22048, 4528,13856, 4536,30240, 4552,20000, - 4560,11808, 4568,28192, 4576,7712, 4584,24096, 4592,15904, 4600,32288, - 4616,16672, 4624,8480, 4632,24864, 4648,20768, 4656,12576, 4664,28960, - 4680,18720, 4688,10528, 4696,26912, 4704,6432, 4712,22816, 4720,14624, - 4728,31008, 4744,17696, 4752,9504, 4760,25888, 4768,5408, 4776,21792, - 4784,13600, 4792,29984, 4808,19744, 4816,11552, 4824,27936, 4832,7456, - 4840,23840, 4848,15648, 4856,32032, 4872,17184, 4880,8992, 4888,25376, - 4904,21280, 4912,13088, 4920,29472, 4936,19232, 4944,11040, 4952,27424, - 4960,6944, 4968,23328, 4976,15136, 4984,31520, 5000,18208, 5008,10016, - 5016,26400, 5024,5920, 5032,22304, 5040,14112, 5048,30496, 5064,20256, - 5072,12064, 5080,28448, 5088,7968, 5096,24352, 5104,16160, 5112,32544, - 5128,16544, 5136,8352, 5144,24736, 5160,20640, 5168,12448, 5176,28832, - 5192,18592, 5200,10400, 5208,26784, 5216,6304, 5224,22688, 5232,14496, - 5240,30880, 5256,17568, 5264,9376, 5272,25760, 5288,21664, 5296,13472, - 5304,29856, 5320,19616, 5328,11424, 5336,27808, 5344,7328, 5352,23712, - 5360,15520, 5368,31904, 5384,17056, 5392,8864, 5400,25248, 5416,21152, - 5424,12960, 5432,29344, 5448,19104, 5456,10912, 5464,27296, 5472,6816, - 5480,23200, 5488,15008, 5496,31392, 5512,18080, 5520,9888, 5528,26272, - 5536,5792, 5544,22176, 5552,13984, 5560,30368, 5576,20128, 5584,11936, - 5592,28320, 5600,7840, 5608,24224, 5616,16032, 5624,32416, 5640,16800, - 5648,8608, 5656,24992, 5672,20896, 5680,12704, 5688,29088, 5704,18848, - 5712,10656, 5720,27040, 5728,6560, 5736,22944, 5744,14752, 5752,31136, - 5768,17824, 5776,9632, 5784,26016, 5800,21920, 5808,13728, 5816,30112, - 5832,19872, 5840,11680, 5848,28064, 5856,7584, 5864,23968, 5872,15776, - 5880,32160, 5896,17312, 5904,9120, 5912,25504, 5928,21408, 5936,13216, - 5944,29600, 5960,19360, 5968,11168, 5976,27552, 5984,7072, 5992,23456, - 6000,15264, 6008,31648, 6024,18336, 6032,10144, 6040,26528, 6056,22432, - 6064,14240, 6072,30624, 6088,20384, 6096,12192, 6104,28576, 6112,8096, - 6120,24480, 6128,16288, 6136,32672, 6152,16480, 6160,8288, 6168,24672, - 6184,20576, 6192,12384, 6200,28768, 6216,18528, 6224,10336, 6232,26720, - 6248,22624, 6256,14432, 6264,30816, 6280,17504, 6288,9312, 6296,25696, - 6312,21600, 6320,13408, 6328,29792, 6344,19552, 6352,11360, 6360,27744, - 6368,7264, 6376,23648, 6384,15456, 6392,31840, 6408,16992, 6416,8800, - 6424,25184, 6440,21088, 6448,12896, 6456,29280, 6472,19040, 6480,10848, - 6488,27232, 6496,6752, 6504,23136, 6512,14944, 6520,31328, 6536,18016, - 6544,9824, 6552,26208, 6568,22112, 6576,13920, 6584,30304, 6600,20064, - 6608,11872, 6616,28256, 6624,7776, 6632,24160, 6640,15968, 6648,32352, - 6664,16736, 6672,8544, 6680,24928, 6696,20832, 6704,12640, 6712,29024, - 6728,18784, 6736,10592, 6744,26976, 6760,22880, 6768,14688, 6776,31072, - 6792,17760, 6800,9568, 6808,25952, 6824,21856, 6832,13664, 6840,30048, - 6856,19808, 6864,11616, 6872,28000, 6880,7520, 6888,23904, 6896,15712, - 6904,32096, 6920,17248, 6928,9056, 6936,25440, 6952,21344, 6960,13152, - 6968,29536, 6984,19296, 6992,11104, 7000,27488, 7016,23392, 7024,15200, - 7032,31584, 7048,18272, 7056,10080, 7064,26464, 7080,22368, 7088,14176, - 7096,30560, 7112,20320, 7120,12128, 7128,28512, 7136,8032, 7144,24416, - 7152,16224, 7160,32608, 7176,16608, 7184,8416, 7192,24800, 7208,20704, - 7216,12512, 7224,28896, 7240,18656, 7248,10464, 7256,26848, 7272,22752, - 7280,14560, 7288,30944, 7304,17632, 7312,9440, 7320,25824, 7336,21728, - 7344,13536, 7352,29920, 7368,19680, 7376,11488, 7384,27872, 7400,23776, - 7408,15584, 7416,31968, 7432,17120, 7440,8928, 7448,25312, 7464,21216, - 7472,13024, 7480,29408, 7496,19168, 7504,10976, 7512,27360, 7528,23264, - 7536,15072, 7544,31456, 7560,18144, 7568,9952, 7576,26336, 7592,22240, - 7600,14048, 7608,30432, 7624,20192, 7632,12000, 7640,28384, 7648,7904, - 7656,24288, 7664,16096, 7672,32480, 7688,16864, 7696,8672, 7704,25056, - 7720,20960, 7728,12768, 7736,29152, 7752,18912, 7760,10720, 7768,27104, - 7784,23008, 7792,14816, 7800,31200, 7816,17888, 7824,9696, 7832,26080, - 7848,21984, 7856,13792, 7864,30176, 7880,19936, 7888,11744, 7896,28128, - 7912,24032, 7920,15840, 7928,32224, 7944,17376, 7952,9184, 7960,25568, - 7976,21472, 7984,13280, 7992,29664, 8008,19424, 8016,11232, 8024,27616, - 8040,23520, 8048,15328, 8056,31712, 8072,18400, 8080,10208, 8088,26592, - 8104,22496, 8112,14304, 8120,30688, 8136,20448, 8144,12256, 8152,28640, - 8168,24544, 8176,16352, 8184,32736, 8200,16400, 8216,24592, 8232,20496, - 8240,12304, 8248,28688, 8264,18448, 8272,10256, 8280,26640, 8296,22544, - 8304,14352, 8312,30736, 8328,17424, 8336,9232, 8344,25616, 8360,21520, - 8368,13328, 8376,29712, 8392,19472, 8400,11280, 8408,27664, 8424,23568, - 8432,15376, 8440,31760, 8456,16912, 8464,8720, 8472,25104, 8488,21008, - 8496,12816, 8504,29200, 8520,18960, 8528,10768, 8536,27152, 8552,23056, - 8560,14864, 8568,31248, 8584,17936, 8592,9744, 8600,26128, 8616,22032, - 8624,13840, 8632,30224, 8648,19984, 8656,11792, 8664,28176, 8680,24080, - 8688,15888, 8696,32272, 8712,16656, 8728,24848, 8744,20752, 8752,12560, - 8760,28944, 8776,18704, 8784,10512, 8792,26896, 8808,22800, 8816,14608, - 8824,30992, 8840,17680, 8848,9488, 8856,25872, 8872,21776, 8880,13584, - 8888,29968, 8904,19728, 8912,11536, 8920,27920, 8936,23824, 8944,15632, - 8952,32016, 8968,17168, 8984,25360, 9000,21264, 9008,13072, 9016,29456, - 9032,19216, 9040,11024, 9048,27408, 9064,23312, 9072,15120, 9080,31504, - 9096,18192, 9104,10000, 9112,26384, 9128,22288, 9136,14096, 9144,30480, - 9160,20240, 9168,12048, 9176,28432, 9192,24336, 9200,16144, 9208,32528, - 9224,16528, 9240,24720, 9256,20624, 9264,12432, 9272,28816, 9288,18576, - 9296,10384, 9304,26768, 9320,22672, 9328,14480, 9336,30864, 9352,17552, - 9368,25744, 9384,21648, 9392,13456, 9400,29840, 9416,19600, 9424,11408, - 9432,27792, 9448,23696, 9456,15504, 9464,31888, 9480,17040, 9496,25232, - 9512,21136, 9520,12944, 9528,29328, 9544,19088, 9552,10896, 9560,27280, - 9576,23184, 9584,14992, 9592,31376, 9608,18064, 9616,9872, 9624,26256, - 9640,22160, 9648,13968, 9656,30352, 9672,20112, 9680,11920, 9688,28304, - 9704,24208, 9712,16016, 9720,32400, 9736,16784, 9752,24976, 9768,20880, - 9776,12688, 9784,29072, 9800,18832, 9808,10640, 9816,27024, 9832,22928, - 9840,14736, 9848,31120, 9864,17808, 9880,26000, 9896,21904, 9904,13712, - 9912,30096, 9928,19856, 9936,11664, 9944,28048, 9960,23952, 9968,15760, - 9976,32144, 9992,17296, 10008,25488, 10024,21392, 10032,13200, 10040,29584, - 10056,19344, 10064,11152, 10072,27536, 10088,23440, 10096,15248, 10104,31632, - 10120,18320, 10136,26512, 10152,22416, 10160,14224, 10168,30608, 10184,20368, - 10192,12176, 10200,28560, 10216,24464, 10224,16272, 10232,32656, 10248,16464, - 10264,24656, 10280,20560, 10288,12368, 10296,28752, 10312,18512, 10328,26704, - 10344,22608, 10352,14416, 10360,30800, 10376,17488, 10392,25680, 10408,21584, - 10416,13392, 10424,29776, 10440,19536, 10448,11344, 10456,27728, 10472,23632, - 10480,15440, 10488,31824, 10504,16976, 10520,25168, 10536,21072, 10544,12880, - 10552,29264, 10568,19024, 10576,10832, 10584,27216, 10600,23120, 10608,14928, - 10616,31312, 10632,18000, 10648,26192, 10664,22096, 10672,13904, 10680,30288, - 10696,20048, 10704,11856, 10712,28240, 10728,24144, 10736,15952, 10744,32336, - 10760,16720, 10776,24912, 10792,20816, 10800,12624, 10808,29008, 10824,18768, - 10840,26960, 10856,22864, 10864,14672, 10872,31056, 10888,17744, 10904,25936, - 10920,21840, 10928,13648, 10936,30032, 10952,19792, 10960,11600, 10968,27984, - 10984,23888, 10992,15696, 11000,32080, 11016,17232, 11032,25424, 11048,21328, - 11056,13136, 11064,29520, 11080,19280, 11096,27472, 11112,23376, 11120,15184, - 11128,31568, 11144,18256, 11160,26448, 11176,22352, 11184,14160, 11192,30544, - 11208,20304, 11216,12112, 11224,28496, 11240,24400, 11248,16208, 11256,32592, - 11272,16592, 11288,24784, 11304,20688, 11312,12496, 11320,28880, 11336,18640, - 11352,26832, 11368,22736, 11376,14544, 11384,30928, 11400,17616, 11416,25808, - 11432,21712, 11440,13520, 11448,29904, 11464,19664, 11480,27856, 11496,23760, - 11504,15568, 11512,31952, 11528,17104, 11544,25296, 11560,21200, 11568,13008, - 11576,29392, 11592,19152, 11608,27344, 11624,23248, 11632,15056, 11640,31440, - 11656,18128, 11672,26320, 11688,22224, 11696,14032, 11704,30416, 11720,20176, - 11728,11984, 11736,28368, 11752,24272, 11760,16080, 11768,32464, 11784,16848, - 11800,25040, 11816,20944, 11824,12752, 11832,29136, 11848,18896, 11864,27088, - 11880,22992, 11888,14800, 11896,31184, 11912,17872, 11928,26064, 11944,21968, - 11952,13776, 11960,30160, 11976,19920, 11992,28112, 12008,24016, 12016,15824, - 12024,32208, 12040,17360, 12056,25552, 12072,21456, 12080,13264, 12088,29648, - 12104,19408, 12120,27600, 12136,23504, 12144,15312, 12152,31696, 12168,18384, - 12184,26576, 12200,22480, 12208,14288, 12216,30672, 12232,20432, 12248,28624, - 12264,24528, 12272,16336, 12280,32720, 12296,16432, 12312,24624, 12328,20528, - 12344,28720, 12360,18480, 12376,26672, 12392,22576, 12400,14384, 12408,30768, - 12424,17456, 12440,25648, 12456,21552, 12464,13360, 12472,29744, 12488,19504, - 12504,27696, 12520,23600, 12528,15408, 12536,31792, 12552,16944, 12568,25136, - 12584,21040, 12592,12848, 12600,29232, 12616,18992, 12632,27184, 12648,23088, - 12656,14896, 12664,31280, 12680,17968, 12696,26160, 12712,22064, 12720,13872, - 12728,30256, 12744,20016, 12760,28208, 12776,24112, 12784,15920, 12792,32304, - 12808,16688, 12824,24880, 12840,20784, 12856,28976, 12872,18736, 12888,26928, - 12904,22832, 12912,14640, 12920,31024, 12936,17712, 12952,25904, 12968,21808, - 12976,13616, 12984,30000, 13000,19760, 13016,27952, 13032,23856, 13040,15664, - 13048,32048, 13064,17200, 13080,25392, 13096,21296, 13112,29488, 13128,19248, - 13144,27440, 13160,23344, 13168,15152, 13176,31536, 13192,18224, 13208,26416, - 13224,22320, 13232,14128, 13240,30512, 13256,20272, 13272,28464, 13288,24368, - 13296,16176, 13304,32560, 13320,16560, 13336,24752, 13352,20656, 13368,28848, - 13384,18608, 13400,26800, 13416,22704, 13424,14512, 13432,30896, 13448,17584, - 13464,25776, 13480,21680, 13496,29872, 13512,19632, 13528,27824, 13544,23728, - 13552,15536, 13560,31920, 13576,17072, 13592,25264, 13608,21168, 13624,29360, - 13640,19120, 13656,27312, 13672,23216, 13680,15024, 13688,31408, 13704,18096, - 13720,26288, 13736,22192, 13744,14000, 13752,30384, 13768,20144, 13784,28336, - 13800,24240, 13808,16048, 13816,32432, 13832,16816, 13848,25008, 13864,20912, - 13880,29104, 13896,18864, 13912,27056, 13928,22960, 13936,14768, 13944,31152, - 13960,17840, 13976,26032, 13992,21936, 14008,30128, 14024,19888, 14040,28080, - 14056,23984, 14064,15792, 14072,32176, 14088,17328, 14104,25520, 14120,21424, - 14136,29616, 14152,19376, 14168,27568, 14184,23472, 14192,15280, 14200,31664, - 14216,18352, 14232,26544, 14248,22448, 14264,30640, 14280,20400, 14296,28592, - 14312,24496, 14320,16304, 14328,32688, 14344,16496, 14360,24688, 14376,20592, - 14392,28784, 14408,18544, 14424,26736, 14440,22640, 14456,30832, 14472,17520, - 14488,25712, 14504,21616, 14520,29808, 14536,19568, 14552,27760, 14568,23664, - 14576,15472, 14584,31856, 14600,17008, 14616,25200, 14632,21104, 14648,29296, - 14664,19056, 14680,27248, 14696,23152, 14704,14960, 14712,31344, 14728,18032, - 14744,26224, 14760,22128, 14776,30320, 14792,20080, 14808,28272, 14824,24176, - 14832,15984, 14840,32368, 14856,16752, 14872,24944, 14888,20848, 14904,29040, - 14920,18800, 14936,26992, 14952,22896, 14968,31088, 14984,17776, 15000,25968, - 15016,21872, 15032,30064, 15048,19824, 15064,28016, 15080,23920, 15088,15728, - 15096,32112, 15112,17264, 15128,25456, 15144,21360, 15160,29552, 15176,19312, - 15192,27504, 15208,23408, 15224,31600, 15240,18288, 15256,26480, 15272,22384, - 15288,30576, 15304,20336, 15320,28528, 15336,24432, 15344,16240, 15352,32624, - 15368,16624, 15384,24816, 15400,20720, 15416,28912, 15432,18672, 15448,26864, - 15464,22768, 15480,30960, 15496,17648, 15512,25840, 15528,21744, 15544,29936, - 15560,19696, 15576,27888, 15592,23792, 15608,31984, 15624,17136, 15640,25328, - 15656,21232, 15672,29424, 15688,19184, 15704,27376, 15720,23280, 15736,31472, - 15752,18160, 15768,26352, 15784,22256, 15800,30448, 15816,20208, 15832,28400, - 15848,24304, 15856,16112, 15864,32496, 15880,16880, 15896,25072, 15912,20976, - 15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904, - 16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048, - 16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440, - 16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512, - 16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584, - 16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728, - 16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656, - 16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192, - 16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120, - 16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264, - 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792, - 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720, - 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448, - 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376, - 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520, - 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664, - 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784, - 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080, - 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152, - 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968, - 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112, - 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944, - 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528, - 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360, - 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744, - 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768, - 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064, - 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184, - 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328, - 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048, - 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880, - 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368, - 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488, - 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824, - 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848, - 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336, - 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168, - 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128, - 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152, - 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640, - 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664, - 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664, - 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688, - 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176, - 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200, - 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824, - 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848, - 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528, - 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552, - 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768, - 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352, - 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376, - 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048, - 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976, - 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656, - 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, - 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, - 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, - 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, - 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, - 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, - 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, - 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, - 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, - 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, - 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, - 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, - 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, - 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, - 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, - 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, - 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, - 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, - 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, - 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, - 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, - 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, - 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, - 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, - 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, - 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, - 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, - 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, - 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, - 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, - 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, - 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, - 31480,32120, 31736,32632, 32248,32504 -}; - -/** -* \par -* Example code for Floating-point RFFT Twiddle factors Generation: -* \par -* 
TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).'
-* \par -* Real and Imag values are in interleaved fashion -*/ -const float32_t twiddleCoef_rfft_32[32] = { -0.0f , 1.0f , -0.195090322f , 0.98078528f , -0.382683432f , 0.923879533f , -0.555570233f , 0.831469612f , -0.707106781f , 0.707106781f , -0.831469612f , 0.555570233f , -0.923879533f , 0.382683432f , -0.98078528f , 0.195090322f , -1.0f , 0.0f , -0.98078528f , -0.195090322f , -0.923879533f , -0.382683432f , -0.831469612f , -0.555570233f , -0.707106781f , -0.707106781f , -0.555570233f , -0.831469612f , -0.382683432f , -0.923879533f , -0.195090322f , -0.98078528f -}; - -const float32_t twiddleCoef_rfft_64[64] = { -0.0f, 1.0f, -0.098017140329561f, 0.995184726672197f, -0.195090322016128f, 0.98078528040323f, -0.290284677254462f, 0.956940335732209f, -0.38268343236509f, 0.923879532511287f, -0.471396736825998f, 0.881921264348355f, -0.555570233019602f, 0.831469612302545f, -0.634393284163645f, 0.773010453362737f, -0.707106781186547f, 0.707106781186548f, -0.773010453362737f, 0.634393284163645f, -0.831469612302545f, 0.555570233019602f, -0.881921264348355f, 0.471396736825998f, -0.923879532511287f, 0.38268343236509f, -0.956940335732209f, 0.290284677254462f, -0.98078528040323f, 0.195090322016128f, -0.995184726672197f, 0.098017140329561f, -1.0f, 0.0f, -0.995184726672197f, -0.098017140329561f, -0.98078528040323f, -0.195090322016128f, -0.956940335732209f, -0.290284677254462f, -0.923879532511287f, -0.38268343236509f, -0.881921264348355f, -0.471396736825998f, -0.831469612302545f, -0.555570233019602f, -0.773010453362737f, -0.634393284163645f, -0.707106781186548f, -0.707106781186547f, -0.634393284163645f, -0.773010453362737f, -0.555570233019602f, -0.831469612302545f, -0.471396736825998f, -0.881921264348355f, -0.38268343236509f, -0.923879532511287f, -0.290284677254462f, -0.956940335732209f, -0.195090322016129f, -0.98078528040323f, -0.098017140329561f, -0.995184726672197f -}; - -const float32_t twiddleCoef_rfft_128[128] = { - 0.000000000f, 1.000000000f, - 0.049067674f, 0.998795456f, - 0.098017140f, 0.995184727f, - 0.146730474f, 0.989176510f, - 0.195090322f, 0.980785280f, - 0.242980180f, 0.970031253f, - 0.290284677f, 0.956940336f, - 0.336889853f, 0.941544065f, - 0.382683432f, 0.923879533f, - 0.427555093f, 0.903989293f, - 0.471396737f, 0.881921264f, - 0.514102744f, 0.857728610f, - 0.555570233f, 0.831469612f, - 0.595699304f, 0.803207531f, - 0.634393284f, 0.773010453f, - 0.671558955f, 0.740951125f, - 0.707106781f, 0.707106781f, - 0.740951125f, 0.671558955f, - 0.773010453f, 0.634393284f, - 0.803207531f, 0.595699304f, - 0.831469612f, 0.555570233f, - 0.857728610f, 0.514102744f, - 0.881921264f, 0.471396737f, - 0.903989293f, 0.427555093f, - 0.923879533f, 0.382683432f, - 0.941544065f, 0.336889853f, - 0.956940336f, 0.290284677f, - 0.970031253f, 0.242980180f, - 0.980785280f, 0.195090322f, - 0.989176510f, 0.146730474f, - 0.995184727f, 0.098017140f, - 0.998795456f, 0.049067674f, - 1.000000000f, 0.000000000f, - 0.998795456f, -0.049067674f, - 0.995184727f, -0.098017140f, - 0.989176510f, -0.146730474f, - 0.980785280f, -0.195090322f, - 0.970031253f, -0.242980180f, - 0.956940336f, -0.290284677f, - 0.941544065f, -0.336889853f, - 0.923879533f, -0.382683432f, - 0.903989293f, -0.427555093f, - 0.881921264f, -0.471396737f, - 0.857728610f, -0.514102744f, - 0.831469612f, -0.555570233f, - 0.803207531f, -0.595699304f, - 0.773010453f, -0.634393284f, - 0.740951125f, -0.671558955f, - 0.707106781f, -0.707106781f, - 0.671558955f, -0.740951125f, - 0.634393284f, -0.773010453f, - 0.595699304f, -0.803207531f, - 0.555570233f, -0.831469612f, - 0.514102744f, -0.857728610f, - 0.471396737f, -0.881921264f, - 0.427555093f, -0.903989293f, - 0.382683432f, -0.923879533f, - 0.336889853f, -0.941544065f, - 0.290284677f, -0.956940336f, - 0.242980180f, -0.970031253f, - 0.195090322f, -0.980785280f, - 0.146730474f, -0.989176510f, - 0.098017140f, -0.995184727f, - 0.049067674f, -0.998795456f -}; - -const float32_t twiddleCoef_rfft_256[256] = { - 0.000000000f, 1.000000000f, - 0.024541229f, 0.999698819f, - 0.049067674f, 0.998795456f, - 0.073564564f, 0.997290457f, - 0.098017140f, 0.995184727f, - 0.122410675f, 0.992479535f, - 0.146730474f, 0.989176510f, - 0.170961889f, 0.985277642f, - 0.195090322f, 0.980785280f, - 0.219101240f, 0.975702130f, - 0.242980180f, 0.970031253f, - 0.266712757f, 0.963776066f, - 0.290284677f, 0.956940336f, - 0.313681740f, 0.949528181f, - 0.336889853f, 0.941544065f, - 0.359895037f, 0.932992799f, - 0.382683432f, 0.923879533f, - 0.405241314f, 0.914209756f, - 0.427555093f, 0.903989293f, - 0.449611330f, 0.893224301f, - 0.471396737f, 0.881921264f, - 0.492898192f, 0.870086991f, - 0.514102744f, 0.857728610f, - 0.534997620f, 0.844853565f, - 0.555570233f, 0.831469612f, - 0.575808191f, 0.817584813f, - 0.595699304f, 0.803207531f, - 0.615231591f, 0.788346428f, - 0.634393284f, 0.773010453f, - 0.653172843f, 0.757208847f, - 0.671558955f, 0.740951125f, - 0.689540545f, 0.724247083f, - 0.707106781f, 0.707106781f, - 0.724247083f, 0.689540545f, - 0.740951125f, 0.671558955f, - 0.757208847f, 0.653172843f, - 0.773010453f, 0.634393284f, - 0.788346428f, 0.615231591f, - 0.803207531f, 0.595699304f, - 0.817584813f, 0.575808191f, - 0.831469612f, 0.555570233f, - 0.844853565f, 0.534997620f, - 0.857728610f, 0.514102744f, - 0.870086991f, 0.492898192f, - 0.881921264f, 0.471396737f, - 0.893224301f, 0.449611330f, - 0.903989293f, 0.427555093f, - 0.914209756f, 0.405241314f, - 0.923879533f, 0.382683432f, - 0.932992799f, 0.359895037f, - 0.941544065f, 0.336889853f, - 0.949528181f, 0.313681740f, - 0.956940336f, 0.290284677f, - 0.963776066f, 0.266712757f, - 0.970031253f, 0.242980180f, - 0.975702130f, 0.219101240f, - 0.980785280f, 0.195090322f, - 0.985277642f, 0.170961889f, - 0.989176510f, 0.146730474f, - 0.992479535f, 0.122410675f, - 0.995184727f, 0.098017140f, - 0.997290457f, 0.073564564f, - 0.998795456f, 0.049067674f, - 0.999698819f, 0.024541229f, - 1.000000000f, 0.000000000f, - 0.999698819f, -0.024541229f, - 0.998795456f, -0.049067674f, - 0.997290457f, -0.073564564f, - 0.995184727f, -0.098017140f, - 0.992479535f, -0.122410675f, - 0.989176510f, -0.146730474f, - 0.985277642f, -0.170961889f, - 0.980785280f, -0.195090322f, - 0.975702130f, -0.219101240f, - 0.970031253f, -0.242980180f, - 0.963776066f, -0.266712757f, - 0.956940336f, -0.290284677f, - 0.949528181f, -0.313681740f, - 0.941544065f, -0.336889853f, - 0.932992799f, -0.359895037f, - 0.923879533f, -0.382683432f, - 0.914209756f, -0.405241314f, - 0.903989293f, -0.427555093f, - 0.893224301f, -0.449611330f, - 0.881921264f, -0.471396737f, - 0.870086991f, -0.492898192f, - 0.857728610f, -0.514102744f, - 0.844853565f, -0.534997620f, - 0.831469612f, -0.555570233f, - 0.817584813f, -0.575808191f, - 0.803207531f, -0.595699304f, - 0.788346428f, -0.615231591f, - 0.773010453f, -0.634393284f, - 0.757208847f, -0.653172843f, - 0.740951125f, -0.671558955f, - 0.724247083f, -0.689540545f, - 0.707106781f, -0.707106781f, - 0.689540545f, -0.724247083f, - 0.671558955f, -0.740951125f, - 0.653172843f, -0.757208847f, - 0.634393284f, -0.773010453f, - 0.615231591f, -0.788346428f, - 0.595699304f, -0.803207531f, - 0.575808191f, -0.817584813f, - 0.555570233f, -0.831469612f, - 0.534997620f, -0.844853565f, - 0.514102744f, -0.857728610f, - 0.492898192f, -0.870086991f, - 0.471396737f, -0.881921264f, - 0.449611330f, -0.893224301f, - 0.427555093f, -0.903989293f, - 0.405241314f, -0.914209756f, - 0.382683432f, -0.923879533f, - 0.359895037f, -0.932992799f, - 0.336889853f, -0.941544065f, - 0.313681740f, -0.949528181f, - 0.290284677f, -0.956940336f, - 0.266712757f, -0.963776066f, - 0.242980180f, -0.970031253f, - 0.219101240f, -0.975702130f, - 0.195090322f, -0.980785280f, - 0.170961889f, -0.985277642f, - 0.146730474f, -0.989176510f, - 0.122410675f, -0.992479535f, - 0.098017140f, -0.995184727f, - 0.073564564f, -0.997290457f, - 0.049067674f, -0.998795456f, - 0.024541229f, -0.999698819f -}; - -const float32_t twiddleCoef_rfft_512[512] = { - 0.000000000f, 1.000000000f, - 0.012271538f, 0.999924702f, - 0.024541229f, 0.999698819f, - 0.036807223f, 0.999322385f, - 0.049067674f, 0.998795456f, - 0.061320736f, 0.998118113f, - 0.073564564f, 0.997290457f, - 0.085797312f, 0.996312612f, - 0.098017140f, 0.995184727f, - 0.110222207f, 0.993906970f, - 0.122410675f, 0.992479535f, - 0.134580709f, 0.990902635f, - 0.146730474f, 0.989176510f, - 0.158858143f, 0.987301418f, - 0.170961889f, 0.985277642f, - 0.183039888f, 0.983105487f, - 0.195090322f, 0.980785280f, - 0.207111376f, 0.978317371f, - 0.219101240f, 0.975702130f, - 0.231058108f, 0.972939952f, - 0.242980180f, 0.970031253f, - 0.254865660f, 0.966976471f, - 0.266712757f, 0.963776066f, - 0.278519689f, 0.960430519f, - 0.290284677f, 0.956940336f, - 0.302005949f, 0.953306040f, - 0.313681740f, 0.949528181f, - 0.325310292f, 0.945607325f, - 0.336889853f, 0.941544065f, - 0.348418680f, 0.937339012f, - 0.359895037f, 0.932992799f, - 0.371317194f, 0.928506080f, - 0.382683432f, 0.923879533f, - 0.393992040f, 0.919113852f, - 0.405241314f, 0.914209756f, - 0.416429560f, 0.909167983f, - 0.427555093f, 0.903989293f, - 0.438616239f, 0.898674466f, - 0.449611330f, 0.893224301f, - 0.460538711f, 0.887639620f, - 0.471396737f, 0.881921264f, - 0.482183772f, 0.876070094f, - 0.492898192f, 0.870086991f, - 0.503538384f, 0.863972856f, - 0.514102744f, 0.857728610f, - 0.524589683f, 0.851355193f, - 0.534997620f, 0.844853565f, - 0.545324988f, 0.838224706f, - 0.555570233f, 0.831469612f, - 0.565731811f, 0.824589303f, - 0.575808191f, 0.817584813f, - 0.585797857f, 0.810457198f, - 0.595699304f, 0.803207531f, - 0.605511041f, 0.795836905f, - 0.615231591f, 0.788346428f, - 0.624859488f, 0.780737229f, - 0.634393284f, 0.773010453f, - 0.643831543f, 0.765167266f, - 0.653172843f, 0.757208847f, - 0.662415778f, 0.749136395f, - 0.671558955f, 0.740951125f, - 0.680600998f, 0.732654272f, - 0.689540545f, 0.724247083f, - 0.698376249f, 0.715730825f, - 0.707106781f, 0.707106781f, - 0.715730825f, 0.698376249f, - 0.724247083f, 0.689540545f, - 0.732654272f, 0.680600998f, - 0.740951125f, 0.671558955f, - 0.749136395f, 0.662415778f, - 0.757208847f, 0.653172843f, - 0.765167266f, 0.643831543f, - 0.773010453f, 0.634393284f, - 0.780737229f, 0.624859488f, - 0.788346428f, 0.615231591f, - 0.795836905f, 0.605511041f, - 0.803207531f, 0.595699304f, - 0.810457198f, 0.585797857f, - 0.817584813f, 0.575808191f, - 0.824589303f, 0.565731811f, - 0.831469612f, 0.555570233f, - 0.838224706f, 0.545324988f, - 0.844853565f, 0.534997620f, - 0.851355193f, 0.524589683f, - 0.857728610f, 0.514102744f, - 0.863972856f, 0.503538384f, - 0.870086991f, 0.492898192f, - 0.876070094f, 0.482183772f, - 0.881921264f, 0.471396737f, - 0.887639620f, 0.460538711f, - 0.893224301f, 0.449611330f, - 0.898674466f, 0.438616239f, - 0.903989293f, 0.427555093f, - 0.909167983f, 0.416429560f, - 0.914209756f, 0.405241314f, - 0.919113852f, 0.393992040f, - 0.923879533f, 0.382683432f, - 0.928506080f, 0.371317194f, - 0.932992799f, 0.359895037f, - 0.937339012f, 0.348418680f, - 0.941544065f, 0.336889853f, - 0.945607325f, 0.325310292f, - 0.949528181f, 0.313681740f, - 0.953306040f, 0.302005949f, - 0.956940336f, 0.290284677f, - 0.960430519f, 0.278519689f, - 0.963776066f, 0.266712757f, - 0.966976471f, 0.254865660f, - 0.970031253f, 0.242980180f, - 0.972939952f, 0.231058108f, - 0.975702130f, 0.219101240f, - 0.978317371f, 0.207111376f, - 0.980785280f, 0.195090322f, - 0.983105487f, 0.183039888f, - 0.985277642f, 0.170961889f, - 0.987301418f, 0.158858143f, - 0.989176510f, 0.146730474f, - 0.990902635f, 0.134580709f, - 0.992479535f, 0.122410675f, - 0.993906970f, 0.110222207f, - 0.995184727f, 0.098017140f, - 0.996312612f, 0.085797312f, - 0.997290457f, 0.073564564f, - 0.998118113f, 0.061320736f, - 0.998795456f, 0.049067674f, - 0.999322385f, 0.036807223f, - 0.999698819f, 0.024541229f, - 0.999924702f, 0.012271538f, - 1.000000000f, 0.000000000f, - 0.999924702f, -0.012271538f, - 0.999698819f, -0.024541229f, - 0.999322385f, -0.036807223f, - 0.998795456f, -0.049067674f, - 0.998118113f, -0.061320736f, - 0.997290457f, -0.073564564f, - 0.996312612f, -0.085797312f, - 0.995184727f, -0.098017140f, - 0.993906970f, -0.110222207f, - 0.992479535f, -0.122410675f, - 0.990902635f, -0.134580709f, - 0.989176510f, -0.146730474f, - 0.987301418f, -0.158858143f, - 0.985277642f, -0.170961889f, - 0.983105487f, -0.183039888f, - 0.980785280f, -0.195090322f, - 0.978317371f, -0.207111376f, - 0.975702130f, -0.219101240f, - 0.972939952f, -0.231058108f, - 0.970031253f, -0.242980180f, - 0.966976471f, -0.254865660f, - 0.963776066f, -0.266712757f, - 0.960430519f, -0.278519689f, - 0.956940336f, -0.290284677f, - 0.953306040f, -0.302005949f, - 0.949528181f, -0.313681740f, - 0.945607325f, -0.325310292f, - 0.941544065f, -0.336889853f, - 0.937339012f, -0.348418680f, - 0.932992799f, -0.359895037f, - 0.928506080f, -0.371317194f, - 0.923879533f, -0.382683432f, - 0.919113852f, -0.393992040f, - 0.914209756f, -0.405241314f, - 0.909167983f, -0.416429560f, - 0.903989293f, -0.427555093f, - 0.898674466f, -0.438616239f, - 0.893224301f, -0.449611330f, - 0.887639620f, -0.460538711f, - 0.881921264f, -0.471396737f, - 0.876070094f, -0.482183772f, - 0.870086991f, -0.492898192f, - 0.863972856f, -0.503538384f, - 0.857728610f, -0.514102744f, - 0.851355193f, -0.524589683f, - 0.844853565f, -0.534997620f, - 0.838224706f, -0.545324988f, - 0.831469612f, -0.555570233f, - 0.824589303f, -0.565731811f, - 0.817584813f, -0.575808191f, - 0.810457198f, -0.585797857f, - 0.803207531f, -0.595699304f, - 0.795836905f, -0.605511041f, - 0.788346428f, -0.615231591f, - 0.780737229f, -0.624859488f, - 0.773010453f, -0.634393284f, - 0.765167266f, -0.643831543f, - 0.757208847f, -0.653172843f, - 0.749136395f, -0.662415778f, - 0.740951125f, -0.671558955f, - 0.732654272f, -0.680600998f, - 0.724247083f, -0.689540545f, - 0.715730825f, -0.698376249f, - 0.707106781f, -0.707106781f, - 0.698376249f, -0.715730825f, - 0.689540545f, -0.724247083f, - 0.680600998f, -0.732654272f, - 0.671558955f, -0.740951125f, - 0.662415778f, -0.749136395f, - 0.653172843f, -0.757208847f, - 0.643831543f, -0.765167266f, - 0.634393284f, -0.773010453f, - 0.624859488f, -0.780737229f, - 0.615231591f, -0.788346428f, - 0.605511041f, -0.795836905f, - 0.595699304f, -0.803207531f, - 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0.189068664f, -0.981963869f, - 0.187562129f, -0.982252741f, - 0.186055152f, -0.982539302f, - 0.184547737f, -0.982823551f, - 0.183039888f, -0.983105487f, - 0.181531608f, -0.983385110f, - 0.180022901f, -0.983662419f, - 0.178513771f, -0.983937413f, - 0.177004220f, -0.984210092f, - 0.175494253f, -0.984480455f, - 0.173983873f, -0.984748502f, - 0.172473084f, -0.985014231f, - 0.170961889f, -0.985277642f, - 0.169450291f, -0.985538735f, - 0.167938295f, -0.985797509f, - 0.166425904f, -0.986053963f, - 0.164913120f, -0.986308097f, - 0.163399949f, -0.986559910f, - 0.161886394f, -0.986809402f, - 0.160372457f, -0.987056571f, - 0.158858143f, -0.987301418f, - 0.157343456f, -0.987543942f, - 0.155828398f, -0.987784142f, - 0.154312973f, -0.988022017f, - 0.152797185f, -0.988257568f, - 0.151281038f, -0.988490793f, - 0.149764535f, -0.988721692f, - 0.148247679f, -0.988950265f, - 0.146730474f, -0.989176510f, - 0.145212925f, -0.989400428f, - 0.143695033f, -0.989622017f, - 0.142176804f, -0.989841278f, - 0.140658239f, -0.990058210f, - 0.139139344f, -0.990272812f, - 0.137620122f, -0.990485084f, - 0.136100575f, -0.990695025f, - 0.134580709f, -0.990902635f, - 0.133060525f, -0.991107914f, - 0.131540029f, -0.991310860f, - 0.130019223f, -0.991511473f, - 0.128498111f, -0.991709754f, - 0.126976696f, -0.991905700f, - 0.125454983f, -0.992099313f, - 0.123932975f, -0.992290591f, - 0.122410675f, -0.992479535f, - 0.120888087f, -0.992666142f, - 0.119365215f, -0.992850414f, - 0.117842062f, -0.993032350f, - 0.116318631f, -0.993211949f, - 0.114794927f, -0.993389211f, - 0.113270952f, -0.993564136f, - 0.111746711f, -0.993736722f, - 0.110222207f, -0.993906970f, - 0.108697444f, -0.994074879f, - 0.107172425f, -0.994240449f, - 0.105647154f, -0.994403680f, - 0.104121634f, -0.994564571f, - 0.102595869f, -0.994723121f, - 0.101069863f, -0.994879331f, - 0.099543619f, -0.995033199f, - 0.098017140f, -0.995184727f, - 0.096490431f, -0.995333912f, - 0.094963495f, -0.995480755f, - 0.093436336f, -0.995625256f, - 0.091908956f, -0.995767414f, - 0.090381361f, -0.995907229f, - 0.088853553f, -0.996044701f, - 0.087325535f, -0.996179829f, - 0.085797312f, -0.996312612f, - 0.084268888f, -0.996443051f, - 0.082740265f, -0.996571146f, - 0.081211447f, -0.996696895f, - 0.079682438f, -0.996820299f, - 0.078153242f, -0.996941358f, - 0.076623861f, -0.997060070f, - 0.075094301f, -0.997176437f, - 0.073564564f, -0.997290457f, - 0.072034653f, -0.997402130f, - 0.070504573f, -0.997511456f, - 0.068974328f, -0.997618435f, - 0.067443920f, -0.997723067f, - 0.065913353f, -0.997825350f, - 0.064382631f, -0.997925286f, - 0.062851758f, -0.998022874f, - 0.061320736f, -0.998118113f, - 0.059789571f, -0.998211003f, - 0.058258265f, -0.998301545f, - 0.056726821f, -0.998389737f, - 0.055195244f, -0.998475581f, - 0.053663538f, -0.998559074f, - 0.052131705f, -0.998640218f, - 0.050599749f, -0.998719012f, - 0.049067674f, -0.998795456f, - 0.047535484f, -0.998869550f, - 0.046003182f, -0.998941293f, - 0.044470772f, -0.999010686f, - 0.042938257f, -0.999077728f, - 0.041405641f, -0.999142419f, - 0.039872928f, -0.999204759f, - 0.038340120f, -0.999264747f, - 0.036807223f, -0.999322385f, - 0.035274239f, -0.999377670f, - 0.033741172f, -0.999430605f, - 0.032208025f, -0.999481187f, - 0.030674803f, -0.999529418f, - 0.029141509f, -0.999575296f, - 0.027608146f, -0.999618822f, - 0.026074718f, -0.999659997f, - 0.024541229f, -0.999698819f, - 0.023007681f, -0.999735288f, - 0.021474080f, -0.999769405f, - 0.019940429f, -0.999801170f, - 0.018406730f, -0.999830582f, - 0.016872988f, -0.999857641f, - 0.015339206f, -0.999882347f, - 0.013805389f, -0.999904701f, - 0.012271538f, -0.999924702f, - 0.010737659f, -0.999942350f, - 0.009203755f, -0.999957645f, - 0.007669829f, -0.999970586f, - 0.006135885f, -0.999981175f, - 0.004601926f, -0.999989411f, - 0.003067957f, -0.999995294f, - 0.001533980f, -0.999998823f -}; - - -/** - * \par - * Example code for the generation of the floating-point sine table: - * 
- * tableSize = 512;    
- * for(n = 0; n < (tableSize + 1); n++)    
- * {    
- *	sinTable[n]=sin(2*pi*n/tableSize);    
- * }
- * \par - * where pi value is 3.14159265358979 - */ - -const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = { - 0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f, - 0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f, - 0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f, - 0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f, - 0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f, - 0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f, - 0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f, - 0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f, - 0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f, - 0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f, - 0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f, - 0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f, - 0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f, - 0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f, - 0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f, - 0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f, - 0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f, - 0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f, - 0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f, - 0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f, - 0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f, - 0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f, - 0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f, - 0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f, - 0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f, - 0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f, - 0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f, - 0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f, - 0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f, - 0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f, - 0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f, - 0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f, - 0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f, - 0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f, - 0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f, - 0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f, - 0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f, - 0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f, - 0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f, - 0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f, - 0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f, - 0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f, - 0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f, - -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f, - -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f, - -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f, - -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f, - -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f, - -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f, - -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f, - -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f, - -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f, - -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f, - -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f, - -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f, - -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f, - -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f, - -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f, - -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f, - -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f, - -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f, - -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f, - -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f, - -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f, - -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f, - -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f, - -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f, - -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f, - -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f, - -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f, - -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f, - -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f, - -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f, - -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f, - -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f, - -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f, - -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f, - -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f, - -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f, - -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f, - -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f, - -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f, - -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f, - -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f, - -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f, - -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f, - -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f, - -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f, - -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f, - -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f, - -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f, - -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f, - -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f, - -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f -}; - -/** - * \par - * Table values are in Q31 (1.31 fixed-point format) and generation is done in - * three steps. First, generate sin values in floating point: - * 
- * tableSize = 512;      
- * for(n = 0; n < (tableSize + 1); n++)    
- * {    
- *	sinTable[n]= sin(2*pi*n/tableSize);    
- * }
- * where pi value is 3.14159265358979 - * \par - * Second, convert floating-point to Q31 (Fixed point): - * (sinTable[i] * pow(2, 31)) - * \par - * Finally, round to the nearest integer value: - * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); - */ -const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = { - 0x00000000, 0x01921D20, 0x03242ABF, 0x04B6195D, 0x0647D97C, 0x07D95B9E, - 0x096A9049, 0x0AFB6805, 0x0C8BD35E, 0x0E1BC2E4, 0x0FAB272B, 0x1139F0CF, - 0x12C8106F, 0x145576B1, 0x15E21445, 0x176DD9DE, 0x18F8B83C, 0x1A82A026, - 0x1C0B826A, 0x1D934FE5, 0x1F19F97B, 0x209F701C, 0x2223A4C5, 0x23A6887F, - 0x25280C5E, 0x26A82186, 0x2826B928, 0x29A3C485, 0x2B1F34EB, 0x2C98FBBA, - 0x2E110A62, 0x2F875262, 0x30FBC54D, 0x326E54C7, 0x33DEF287, 0x354D9057, - 0x36BA2014, 0x382493B0, 0x398CDD32, 0x3AF2EEB7, 0x3C56BA70, 0x3DB832A6, - 0x3F1749B8, 0x4073F21D, 0x41CE1E65, 0x4325C135, 0x447ACD50, 0x45CD358F, - 0x471CECE7, 0x4869E665, 0x49B41533, 0x4AFB6C98, 0x4C3FDFF4, 0x4D8162C4, - 0x4EBFE8A5, 0x4FFB654D, 0x5133CC94, 0x5269126E, 0x539B2AF0, 0x54CA0A4B, - 0x55F5A4D2, 0x571DEEFA, 0x5842DD54, 0x59646498, 0x5A82799A, 0x5B9D1154, - 0x5CB420E0, 0x5DC79D7C, 0x5ED77C8A, 0x5FE3B38D, 0x60EC3830, 0x61F1003F, - 0x62F201AC, 0x63EF3290, 0x64E88926, 0x65DDFBD3, 0x66CF8120, 0x67BD0FBD, - 0x68A69E81, 0x698C246C, 0x6A6D98A4, 0x6B4AF279, 0x6C242960, 0x6CF934FC, - 0x6DCA0D14, 0x6E96A99D, 0x6F5F02B2, 0x7023109A, 0x70E2CBC6, 0x719E2CD2, - 0x72552C85, 0x7307C3D0, 0x73B5EBD1, 0x745F9DD1, 0x7504D345, 0x75A585CF, - 0x7641AF3D, 0x76D94989, 0x776C4EDB, 0x77FAB989, 0x78848414, 0x7909A92D, - 0x798A23B1, 0x7A05EEAD, 0x7A7D055B, 0x7AEF6323, 0x7B5D039E, 0x7BC5E290, - 0x7C29FBEE, 0x7C894BDE, 0x7CE3CEB2, 0x7D3980EC, 0x7D8A5F40, 0x7DD6668F, - 0x7E1D93EA, 0x7E5FE493, 0x7E9D55FC, 0x7ED5E5C6, 0x7F0991C4, 0x7F3857F6, - 0x7F62368F, 0x7F872BF3, 0x7FA736B4, 0x7FC25596, 0x7FD8878E, 0x7FE9CBC0, - 0x7FF62182, 0x7FFD885A, 0x7FFFFFFF, 0x7FFD885A, 0x7FF62182, 0x7FE9CBC0, - 0x7FD8878E, 0x7FC25596, 0x7FA736B4, 0x7F872BF3, 0x7F62368F, 0x7F3857F6, - 0x7F0991C4, 0x7ED5E5C6, 0x7E9D55FC, 0x7E5FE493, 0x7E1D93EA, 0x7DD6668F, - 0x7D8A5F40, 0x7D3980EC, 0x7CE3CEB2, 0x7C894BDE, 0x7C29FBEE, 0x7BC5E290, - 0x7B5D039E, 0x7AEF6323, 0x7A7D055B, 0x7A05EEAD, 0x798A23B1, 0x7909A92D, - 0x78848414, 0x77FAB989, 0x776C4EDB, 0x76D94989, 0x7641AF3D, 0x75A585CF, - 0x7504D345, 0x745F9DD1, 0x73B5EBD1, 0x7307C3D0, 0x72552C85, 0x719E2CD2, - 0x70E2CBC6, 0x7023109A, 0x6F5F02B2, 0x6E96A99D, 0x6DCA0D14, 0x6CF934FC, - 0x6C242960, 0x6B4AF279, 0x6A6D98A4, 0x698C246C, 0x68A69E81, 0x67BD0FBD, - 0x66CF8120, 0x65DDFBD3, 0x64E88926, 0x63EF3290, 0x62F201AC, 0x61F1003F, - 0x60EC3830, 0x5FE3B38D, 0x5ED77C8A, 0x5DC79D7C, 0x5CB420E0, 0x5B9D1154, - 0x5A82799A, 0x59646498, 0x5842DD54, 0x571DEEFA, 0x55F5A4D2, 0x54CA0A4B, - 0x539B2AF0, 0x5269126E, 0x5133CC94, 0x4FFB654D, 0x4EBFE8A5, 0x4D8162C4, - 0x4C3FDFF4, 0x4AFB6C98, 0x49B41533, 0x4869E665, 0x471CECE7, 0x45CD358F, - 0x447ACD50, 0x4325C135, 0x41CE1E65, 0x4073F21D, 0x3F1749B8, 0x3DB832A6, - 0x3C56BA70, 0x3AF2EEB7, 0x398CDD32, 0x382493B0, 0x36BA2014, 0x354D9057, - 0x33DEF287, 0x326E54C7, 0x30FBC54D, 0x2F875262, 0x2E110A62, 0x2C98FBBA, - 0x2B1F34EB, 0x29A3C485, 0x2826B928, 0x26A82186, 0x25280C5E, 0x23A6887F, - 0x2223A4C5, 0x209F701C, 0x1F19F97B, 0x1D934FE5, 0x1C0B826A, 0x1A82A026, - 0x18F8B83C, 0x176DD9DE, 0x15E21445, 0x145576B1, 0x12C8106F, 0x1139F0CF, - 0x0FAB272B, 0x0E1BC2E4, 0x0C8BD35E, 0x0AFB6805, 0x096A9049, 0x07D95B9E, - 0x0647D97C, 0x04B6195D, 0x03242ABF, 0x01921D20, 0x00000000, 0xFE6DE2E0, - 0xFCDBD541, 0xFB49E6A3, 0xF9B82684, 0xF826A462, 0xF6956FB7, 0xF50497FB, - 0xF3742CA2, 0xF1E43D1C, 0xF054D8D5, 0xEEC60F31, 0xED37EF91, 0xEBAA894F, - 0xEA1DEBBB, 0xE8922622, 0xE70747C4, 0xE57D5FDA, 0xE3F47D96, 0xE26CB01B, - 0xE0E60685, 0xDF608FE4, 0xDDDC5B3B, 0xDC597781, 0xDAD7F3A2, 0xD957DE7A, - 0xD7D946D8, 0xD65C3B7B, 0xD4E0CB15, 0xD3670446, 0xD1EEF59E, 0xD078AD9E, - 0xCF043AB3, 0xCD91AB39, 0xCC210D79, 0xCAB26FA9, 0xC945DFEC, 0xC7DB6C50, - 0xC67322CE, 0xC50D1149, 0xC3A94590, 0xC247CD5A, 0xC0E8B648, 0xBF8C0DE3, - 0xBE31E19B, 0xBCDA3ECB, 0xBB8532B0, 0xBA32CA71, 0xB8E31319, 0xB796199B, - 0xB64BEACD, 0xB5049368, 0xB3C0200C, 0xB27E9D3C, 0xB140175B, 0xB0049AB3, - 0xAECC336C, 0xAD96ED92, 0xAC64D510, 0xAB35F5B5, 0xAA0A5B2E, 0xA8E21106, - 0xA7BD22AC, 0xA69B9B68, 0xA57D8666, 0xA462EEAC, 0xA34BDF20, 0xA2386284, - 0xA1288376, 0xA01C4C73, 0x9F13C7D0, 0x9E0EFFC1, 0x9D0DFE54, 0x9C10CD70, - 0x9B1776DA, 0x9A22042D, 0x99307EE0, 0x9842F043, 0x9759617F, 0x9673DB94, - 0x9592675C, 0x94B50D87, 0x93DBD6A0, 0x9306CB04, 0x9235F2EC, 0x91695663, - 0x90A0FD4E, 0x8FDCEF66, 0x8F1D343A, 0x8E61D32E, 0x8DAAD37B, 0x8CF83C30, - 0x8C4A142F, 0x8BA0622F, 0x8AFB2CBB, 0x8A5A7A31, 0x89BE50C3, 0x8926B677, - 0x8893B125, 0x88054677, 0x877B7BEC, 0x86F656D3, 0x8675DC4F, 0x85FA1153, - 0x8582FAA5, 0x85109CDD, 0x84A2FC62, 0x843A1D70, 0x83D60412, 0x8376B422, - 0x831C314E, 0x82C67F14, 0x8275A0C0, 0x82299971, 0x81E26C16, 0x81A01B6D, - 0x8162AA04, 0x812A1A3A, 0x80F66E3C, 0x80C7A80A, 0x809DC971, 0x8078D40D, - 0x8058C94C, 0x803DAA6A, 0x80277872, 0x80163440, 0x8009DE7E, 0x800277A6, - 0x80000000, 0x800277A6, 0x8009DE7E, 0x80163440, 0x80277872, 0x803DAA6A, - 0x8058C94C, 0x8078D40D, 0x809DC971, 0x80C7A80A, 0x80F66E3C, 0x812A1A3A, - 0x8162AA04, 0x81A01B6D, 0x81E26C16, 0x82299971, 0x8275A0C0, 0x82C67F14, - 0x831C314E, 0x8376B422, 0x83D60412, 0x843A1D70, 0x84A2FC62, 0x85109CDD, - 0x8582FAA5, 0x85FA1153, 0x8675DC4F, 0x86F656D3, 0x877B7BEC, 0x88054677, - 0x8893B125, 0x8926B677, 0x89BE50C3, 0x8A5A7A31, 0x8AFB2CBB, 0x8BA0622F, - 0x8C4A142F, 0x8CF83C30, 0x8DAAD37B, 0x8E61D32E, 0x8F1D343A, 0x8FDCEF66, - 0x90A0FD4E, 0x91695663, 0x9235F2EC, 0x9306CB04, 0x93DBD6A0, 0x94B50D87, - 0x9592675C, 0x9673DB94, 0x9759617F, 0x9842F043, 0x99307EE0, 0x9A22042D, - 0x9B1776DA, 0x9C10CD70, 0x9D0DFE54, 0x9E0EFFC1, 0x9F13C7D0, 0xA01C4C73, - 0xA1288376, 0xA2386284, 0xA34BDF20, 0xA462EEAC, 0xA57D8666, 0xA69B9B68, - 0xA7BD22AC, 0xA8E21106, 0xAA0A5B2E, 0xAB35F5B5, 0xAC64D510, 0xAD96ED92, - 0xAECC336C, 0xB0049AB3, 0xB140175B, 0xB27E9D3C, 0xB3C0200C, 0xB5049368, - 0xB64BEACD, 0xB796199B, 0xB8E31319, 0xBA32CA71, 0xBB8532B0, 0xBCDA3ECB, - 0xBE31E19B, 0xBF8C0DE3, 0xC0E8B648, 0xC247CD5A, 0xC3A94590, 0xC50D1149, - 0xC67322CE, 0xC7DB6C50, 0xC945DFEC, 0xCAB26FA9, 0xCC210D79, 0xCD91AB39, - 0xCF043AB3, 0xD078AD9E, 0xD1EEF59E, 0xD3670446, 0xD4E0CB15, 0xD65C3B7B, - 0xD7D946D8, 0xD957DE7A, 0xDAD7F3A2, 0xDC597781, 0xDDDC5B3B, 0xDF608FE4, - 0xE0E60685, 0xE26CB01B, 0xE3F47D96, 0xE57D5FDA, 0xE70747C4, 0xE8922622, - 0xEA1DEBBB, 0xEBAA894F, 0xED37EF91, 0xEEC60F31, 0xF054D8D5, 0xF1E43D1C, - 0xF3742CA2, 0xF50497FB, 0xF6956FB7, 0xF826A462, 0xF9B82684, 0xFB49E6A3, - 0xFCDBD541, 0xFE6DE2E0, 0x00000000 -}; - -/** - * \par - * Table values are in Q15 (1.15 fixed-point format) and generation is done in - * three steps. First, generate sin values in floating point: - * 
- * tableSize = 512;      
- * for(n = 0; n < (tableSize + 1); n++)    
- * {    
- *	sinTable[n]= sin(2*pi*n/tableSize);    
- * }
- * where pi value is 3.14159265358979 - * \par - * Second, convert floating-point to Q15 (Fixed point): - * (sinTable[i] * pow(2, 15)) - * \par - * Finally, round to the nearest integer value: - * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); - */ -const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = { - 0x0000, 0x0192, 0x0324, 0x04B6, 0x0648, 0x07D9, 0x096B, 0x0AFB, 0x0C8C, 0x0E1C, 0x0FAB, 0x113A, 0x12C8, - 0x1455, 0x15E2, 0x176E, 0x18F9, 0x1A83, 0x1C0C, 0x1D93, 0x1F1A, 0x209F, 0x2224, 0x23A7, 0x2528, 0x26A8, - 0x2827, 0x29A4, 0x2B1F, 0x2C99, 0x2E11, 0x2F87, 0x30FC, 0x326E, 0x33DF, 0x354E, 0x36BA, 0x3825, 0x398D, - 0x3AF3, 0x3C57, 0x3DB8, 0x3F17, 0x4074, 0x41CE, 0x4326, 0x447B, 0x45CD, 0x471D, 0x486A, 0x49B4, 0x4AFB, - 0x4C40, 0x4D81, 0x4EC0, 0x4FFB, 0x5134, 0x5269, 0x539B, 0x54CA, 0x55F6, 0x571E, 0x5843, 0x5964, 0x5A82, - 0x5B9D, 0x5CB4, 0x5DC8, 0x5ED7, 0x5FE4, 0x60EC, 0x61F1, 0x62F2, 0x63EF, 0x64E9, 0x65DE, 0x66D0, 0x67BD, - 0x68A7, 0x698C, 0x6A6E, 0x6B4B, 0x6C24, 0x6CF9, 0x6DCA, 0x6E97, 0x6F5F, 0x7023, 0x70E3, 0x719E, 0x7255, - 0x7308, 0x73B6, 0x7460, 0x7505, 0x75A6, 0x7642, 0x76D9, 0x776C, 0x77FB, 0x7885, 0x790A, 0x798A, 0x7A06, - 0x7A7D, 0x7AEF, 0x7B5D, 0x7BC6, 0x7C2A, 0x7C89, 0x7CE4, 0x7D3A, 0x7D8A, 0x7DD6, 0x7E1E, 0x7E60, 0x7E9D, - 0x7ED6, 0x7F0A, 0x7F38, 0x7F62, 0x7F87, 0x7FA7, 0x7FC2, 0x7FD9, 0x7FEA, 0x7FF6, 0x7FFE, 0x7FFF, 0x7FFE, - 0x7FF6, 0x7FEA, 0x7FD9, 0x7FC2, 0x7FA7, 0x7F87, 0x7F62, 0x7F38, 0x7F0A, 0x7ED6, 0x7E9D, 0x7E60, 0x7E1E, - 0x7DD6, 0x7D8A, 0x7D3A, 0x7CE4, 0x7C89, 0x7C2A, 0x7BC6, 0x7B5D, 0x7AEF, 0x7A7D, 0x7A06, 0x798A, 0x790A, - 0x7885, 0x77FB, 0x776C, 0x76D9, 0x7642, 0x75A6, 0x7505, 0x7460, 0x73B6, 0x7308, 0x7255, 0x719E, 0x70E3, - 0x7023, 0x6F5F, 0x6E97, 0x6DCA, 0x6CF9, 0x6C24, 0x6B4B, 0x6A6E, 0x698C, 0x68A7, 0x67BD, 0x66D0, 0x65DE, - 0x64E9, 0x63EF, 0x62F2, 0x61F1, 0x60EC, 0x5FE4, 0x5ED7, 0x5DC8, 0x5CB4, 0x5B9D, 0x5A82, 0x5964, 0x5843, - 0x571E, 0x55F6, 0x54CA, 0x539B, 0x5269, 0x5134, 0x4FFB, 0x4EC0, 0x4D81, 0x4C40, 0x4AFB, 0x49B4, 0x486A, - 0x471D, 0x45CD, 0x447B, 0x4326, 0x41CE, 0x4074, 0x3F17, 0x3DB8, 0x3C57, 0x3AF3, 0x398D, 0x3825, 0x36BA, - 0x354E, 0x33DF, 0x326E, 0x30FC, 0x2F87, 0x2E11, 0x2C99, 0x2B1F, 0x29A4, 0x2827, 0x26A8, 0x2528, 0x23A7, - 0x2224, 0x209F, 0x1F1A, 0x1D93, 0x1C0C, 0x1A83, 0x18F9, 0x176E, 0x15E2, 0x1455, 0x12C8, 0x113A, 0x0FAB, - 0x0E1C, 0x0C8C, 0x0AFB, 0x096B, 0x07D9, 0x0648, 0x04B6, 0x0324, 0x0192, 0x0000, 0xFE6E, 0xFCDC, 0xFB4A, - 0xF9B8, 0xF827, 0xF695, 0xF505, 0xF374, 0xF1E4, 0xF055, 0xEEC6, 0xED38, 0xEBAB, 0xEA1E, 0xE892, 0xE707, - 0xE57D, 0xE3F4, 0xE26D, 0xE0E6, 0xDF61, 0xDDDC, 0xDC59, 0xDAD8, 0xD958, 0xD7D9, 0xD65C, 0xD4E1, 0xD367, - 0xD1EF, 0xD079, 0xCF04, 0xCD92, 0xCC21, 0xCAB2, 0xC946, 0xC7DB, 0xC673, 0xC50D, 0xC3A9, 0xC248, 0xC0E9, - 0xBF8C, 0xBE32, 0xBCDA, 0xBB85, 0xBA33, 0xB8E3, 0xB796, 0xB64C, 0xB505, 0xB3C0, 0xB27F, 0xB140, 0xB005, - 0xAECC, 0xAD97, 0xAC65, 0xAB36, 0xAA0A, 0xA8E2, 0xA7BD, 0xA69C, 0xA57E, 0xA463, 0xA34C, 0xA238, 0xA129, - 0xA01C, 0x9F14, 0x9E0F, 0x9D0E, 0x9C11, 0x9B17, 0x9A22, 0x9930, 0x9843, 0x9759, 0x9674, 0x9592, 0x94B5, - 0x93DC, 0x9307, 0x9236, 0x9169, 0x90A1, 0x8FDD, 0x8F1D, 0x8E62, 0x8DAB, 0x8CF8, 0x8C4A, 0x8BA0, 0x8AFB, - 0x8A5A, 0x89BE, 0x8927, 0x8894, 0x8805, 0x877B, 0x86F6, 0x8676, 0x85FA, 0x8583, 0x8511, 0x84A3, 0x843A, - 0x83D6, 0x8377, 0x831C, 0x82C6, 0x8276, 0x822A, 0x81E2, 0x81A0, 0x8163, 0x812A, 0x80F6, 0x80C8, 0x809E, - 0x8079, 0x8059, 0x803E, 0x8027, 0x8016, 0x800A, 0x8002, 0x8000, 0x8002, 0x800A, 0x8016, 0x8027, 0x803E, - 0x8059, 0x8079, 0x809E, 0x80C8, 0x80F6, 0x812A, 0x8163, 0x81A0, 0x81E2, 0x822A, 0x8276, 0x82C6, 0x831C, - 0x8377, 0x83D6, 0x843A, 0x84A3, 0x8511, 0x8583, 0x85FA, 0x8676, 0x86F6, 0x877B, 0x8805, 0x8894, 0x8927, - 0x89BE, 0x8A5A, 0x8AFB, 0x8BA0, 0x8C4A, 0x8CF8, 0x8DAB, 0x8E62, 0x8F1D, 0x8FDD, 0x90A1, 0x9169, 0x9236, - 0x9307, 0x93DC, 0x94B5, 0x9592, 0x9674, 0x9759, 0x9843, 0x9930, 0x9A22, 0x9B17, 0x9C11, 0x9D0E, 0x9E0F, - 0x9F14, 0xA01C, 0xA129, 0xA238, 0xA34C, 0xA463, 0xA57E, 0xA69C, 0xA7BD, 0xA8E2, 0xAA0A, 0xAB36, 0xAC65, - 0xAD97, 0xAECC, 0xB005, 0xB140, 0xB27F, 0xB3C0, 0xB505, 0xB64C, 0xB796, 0xB8E3, 0xBA33, 0xBB85, 0xBCDA, - 0xBE32, 0xBF8C, 0xC0E9, 0xC248, 0xC3A9, 0xC50D, 0xC673, 0xC7DB, 0xC946, 0xCAB2, 0xCC21, 0xCD92, 0xCF04, - 0xD079, 0xD1EF, 0xD367, 0xD4E1, 0xD65C, 0xD7D9, 0xD958, 0xDAD8, 0xDC59, 0xDDDC, 0xDF61, 0xE0E6, 0xE26D, - 0xE3F4, 0xE57D, 0xE707, 0xE892, 0xEA1E, 0xEBAB, 0xED38, 0xEEC6, 0xF055, 0xF1E4, 0xF374, 0xF505, 0xF695, - 0xF827, 0xF9B8, 0xFB4A, 0xFCDC, 0xFE6E, 0x0000 -}; diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/CommonTables/arm_const_structs.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/CommonTables/arm_const_structs.c deleted file mode 100644 index f05c1c2f..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/CommonTables/arm_const_structs.c +++ /dev/null @@ -1,156 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_const_structs.c -* -* Description: This file has constant structs that are initialized for -* user convenience. For example, some can be given as -* arguments to the arm_cfft_f32() function. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_const_structs.h" - -//Floating-point structs - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 = { - 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE__16_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 = { - 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE__32_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 = { - 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE__64_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 = { - 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 = { - 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 = { - 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 = { - 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE1024_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = { - 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE2048_TABLE_LENGTH -}; - -const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = { - 4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE4096_TABLE_LENGTH -}; - -//Fixed-point structs - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = { - 16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = { - 32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = { - 64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = { - 128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = { - 256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = { - 512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = { - 1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = { - 2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH -}; - -const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = { - 4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH -}; - - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = { - 16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = { - 32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = { - 64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = { - 128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = { - 256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = { - 512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = { - 1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = { - 2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH -}; - -const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = { - 4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH -}; diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c deleted file mode 100644 index c54ae41d..00000000 --- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c +++ /dev/null @@ -1,182 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2014 ARM Limited. All rights reserved. -* -* $Date: 19. March 2015 -* $Revision: V.1.4.5 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_conj_f32.c -* -* Description: Floating-point complex conjugate. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @defgroup cmplx_conj Complex Conjugate - * - * Conjugates the elements of a complex data vector. - * - * The pSrc points to the source data and - * pDst points to the where the result should be written. - * numSamples specifies the number of complex samples - * and the data in each array is stored in an interleaved fashion - * (real, imag, real, imag, ...). - * Each array has a total of 2*numSamples values. - * The underlying algorithm is used: - * - * 
        
- * for(n=0; n        
- *        
- * There are separate functions for floating-point, Q15, and Q31 data types.        
- */
-
-/**        
- * @addtogroup cmplx_conj        
- * @{        
- */
-
-/**        
- * @brief  Floating-point complex conjugate.        
- * @param  *pSrc points to the input vector        
- * @param  *pDst points to the output vector        
- * @param  numSamples number of complex samples in each vector        
- * @return none.        
- */
-
-void arm_cmplx_conj_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t inR1, inR2, inR3, inR4;
-  float32_t inI1, inI2, inI3, inI4;
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    /* read real input samples */
-    inR1 = pSrc[0];
-    /* store real samples to destination */
-    pDst[0] = inR1;
-    inR2 = pSrc[2];
-    pDst[2] = inR2;
-    inR3 = pSrc[4];
-    pDst[4] = inR3;
-    inR4 = pSrc[6];
-    pDst[6] = inR4;
-
-    /* read imaginary input samples */
-    inI1 = pSrc[1];
-    inI2 = pSrc[3];
-
-    /* conjugate input */
-    inI1 = -inI1;
-
-    /* read imaginary input samples */
-    inI3 = pSrc[5];
-
-    /* conjugate input */
-    inI2 = -inI2;
-
-    /* read imaginary input samples */
-    inI4 = pSrc[7];
-
-    /* conjugate input */
-    inI3 = -inI3;
-
-    /* store imaginary samples to destination */
-    pDst[1] = inI1;
-    pDst[3] = inI2;
-
-    /* conjugate input */
-    inI4 = -inI4;
-
-    /* store imaginary samples to destination */
-    pDst[5] = inI3;
-
-    /* increment source pointer by 8 to process next sampels */
-    pSrc += 8u;
-
-    /* store imaginary sample to destination */
-    pDst[7] = inI4;
-
-    /* increment destination pointer by 8 to store next samples */
-    pDst += 8u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* realOut + j (imagOut) = realIn + j (-1) imagIn */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    *pDst++ = *pSrc++;
-    *pDst++ = -*pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of cmplx_conj group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
deleted file mode 100644
index 62e82f31..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
+++ /dev/null
@@ -1,161 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_conj_q15.c    
-*    
-* Description:	Q15 complex conjugate.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_conj    
- * @{    
- */
-
-/**    
- * @brief  Q15 complex conjugate.    
- * @param  *pSrc points to the input vector    
- * @param  *pDst points to the output vector    
- * @param  numSamples number of complex samples in each vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF.    
- */
-
-void arm_cmplx_conj_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples)
-{
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-  q31_t in1, in2, in3, in4;
-  q31_t zero = 0;
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    in1 = *__SIMD32(pSrc)++;
-    in2 = *__SIMD32(pSrc)++;
-    in3 = *__SIMD32(pSrc)++;
-    in4 = *__SIMD32(pSrc)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    in1 = __QASX(zero, in1);
-    in2 = __QASX(zero, in2);
-    in3 = __QASX(zero, in3);
-    in4 = __QASX(zero, in4);
-
-#else
-
-    in1 = __QSAX(zero, in1);
-    in2 = __QSAX(zero, in2);
-    in3 = __QSAX(zero, in3);
-    in4 = __QSAX(zero, in4);
-
-#endif //       #ifndef ARM_MATH_BIG_ENDIAN
-
-    in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16);
-    in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16);
-    in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16);
-    in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16);
-
-    *__SIMD32(pDst)++ = in1;
-    *__SIMD32(pDst)++ = in2;
-    *__SIMD32(pDst)++ = in3;
-    *__SIMD32(pDst)++ = in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    *pDst++ = *pSrc++;
-    *pDst++ = __SSAT(-*pSrc++, 16);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  q15_t in;
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* realOut + j (imagOut) = realIn+ j (-1) imagIn */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    *pDst++ = *pSrc++;
-    in = *pSrc++;
-    *pDst++ = (in == (q15_t) 0x8000) ? 0x7fff : -in;
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of cmplx_conj group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
deleted file mode 100644
index f882f4cd..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
+++ /dev/null
@@ -1,180 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_conj_q31.c    
-*    
-* Description:	Q31 complex conjugate.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**        
- * @ingroup groupCmplxMath        
- */
-
-/**        
- * @addtogroup cmplx_conj        
- * @{        
- */
-
-/**        
- * @brief  Q31 complex conjugate.        
- * @param  *pSrc points to the input vector        
- * @param  *pDst points to the output vector        
- * @param  numSamples number of complex samples in each vector        
- * @return none.        
- *        
- * Scaling and Overflow Behavior:        
- * \par        
- * The function uses saturating arithmetic.        
- * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF.        
- */
-
-void arm_cmplx_conj_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples)
-{
-  uint32_t blkCnt;                               /* loop counter */
-  q31_t in;                                      /* Input value */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t inR1, inR2, inR3, inR4;                  /* Temporary real variables */
-  q31_t inI1, inI2, inI3, inI4;                  /* Temporary imaginary variables */
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    /* Saturated to 0x7fffffff if the input is -1(0x80000000) */
-    /* read real input sample */
-    inR1 = pSrc[0];
-    /* store real input sample */
-    pDst[0] = inR1;
-
-    /* read imaginary input sample */
-    inI1 = pSrc[1];
-
-    /* read real input sample */
-    inR2 = pSrc[2];
-    /* store real input sample */
-    pDst[2] = inR2;
-
-    /* read imaginary input sample */
-    inI2 = pSrc[3];
-
-    /* negate imaginary input sample */
-    inI1 = __QSUB(0, inI1);
-
-    /* read real input sample */
-    inR3 = pSrc[4];
-    /* store real input sample */
-    pDst[4] = inR3;
-
-    /* read imaginary input sample */
-    inI3 = pSrc[5];
-
-    /* negate imaginary input sample */
-    inI2 = __QSUB(0, inI2);
-
-    /* read real input sample */
-    inR4 = pSrc[6];
-    /* store real input sample */
-    pDst[6] = inR4;
-
-    /* negate imaginary input sample */
-    inI3 = __QSUB(0, inI3);
-
-    /* store imaginary input sample */
-    inI4 = pSrc[7];
-
-    /* store imaginary input samples */
-    pDst[1] = inI1;
-
-    /* negate imaginary input sample */
-    inI4 = __QSUB(0, inI4);
-
-    /* store imaginary input samples */
-    pDst[3] = inI2;
-
-    /* increment source pointer by 8 to proecess next samples */
-    pSrc += 8u;
-
-    /* store imaginary input samples */
-    pDst[5] = inI3;
-    pDst[7] = inI4;
-
-    /* increment destination pointer by 8 to process next samples */
-    pDst += 8u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = numSamples;
-
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    /* Saturated to 0x7fffffff if the input is -1(0x80000000) */
-    *pDst++ = *pSrc++;
-    in = *pSrc++;
-    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of cmplx_conj group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
deleted file mode 100644
index 1a6acb87..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
+++ /dev/null
@@ -1,203 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_dot_prod_f32.c    
-*    
-* Description:	Floating-point complex dot product    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @defgroup cmplx_dot_prod Complex Dot Product    
- *    
- * Computes the dot product of two complex vectors.    
- * The vectors are multiplied element-by-element and then summed.    
- *   
- * The pSrcA points to the first complex input vector and    
- * pSrcB points to the second complex input vector.    
- * numSamples specifies the number of complex samples    
- * and the data in each array is stored in an interleaved fashion    
- * (real, imag, real, imag, ...).    
- * Each array has a total of 2*numSamples values.    
- *    
- * The underlying algorithm is used:    
- * 
    
- * realResult=0;    
- * imagResult=0;    
- * for(n=0; n    
- *    
- * There are separate functions for floating-point, Q15, and Q31 data types.    
- */
-
-/**    
- * @addtogroup cmplx_dot_prod    
- * @{    
- */
-
-/**    
- * @brief  Floating-point complex dot product    
- * @param  *pSrcA points to the first input vector    
- * @param  *pSrcB points to the second input vector    
- * @param  numSamples number of complex samples in each vector    
- * @param  *realResult real part of the result returned here    
- * @param  *imagResult imaginary part of the result returned here    
- * @return none.    
- */
-
-void arm_cmplx_dot_prod_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  uint32_t numSamples,
-  float32_t * realResult,
-  float32_t * imagResult)
-{
-  float32_t real_sum = 0.0f, imag_sum = 0.0f;    /* Temporary result storage */
-  float32_t a0,b0,c0,d0;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += a0 * c0;
-      imag_sum += a0 * d0;
-      real_sum -= b0 * d0;
-      imag_sum += b0 * c0;
-    
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++; 
-  
-      real_sum += a0 * c0;
-      imag_sum += a0 * d0;
-      real_sum -= b0 * d0;
-      imag_sum += b0 * c0;
-      
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += a0 * c0;
-      imag_sum += a0 * d0;
-      real_sum -= b0 * d0;
-      imag_sum += b0 * c0;
-    
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++; 
-  
-      real_sum += a0 * c0;
-      imag_sum += a0 * d0;
-      real_sum -= b0 * d0;
-      imag_sum += b0 * c0;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples & 0x3u;
-
-  while(blkCnt > 0u)
-  {
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += a0 * c0;
-      imag_sum += a0 * d0;
-      real_sum -= b0 * d0;
-      imag_sum += b0 * c0;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += a0 * c0;
-      imag_sum += a0 * d0;
-      real_sum -= b0 * d0;
-      imag_sum += b0 * c0;
-
-      /* Decrement the loop counter */
-      numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  /* Store the real and imaginary results in the destination buffers */
-  *realResult = real_sum;
-  *imagResult = imag_sum;
-}
-
-/**    
- * @} end of cmplx_dot_prod group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
deleted file mode 100644
index d794e2c3..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
+++ /dev/null
@@ -1,189 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_dot_prod_q15.c    
-*    
-* Description:	Processing function for the Q15 Complex Dot product    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_dot_prod    
- * @{    
- */
-
-/**    
- * @brief  Q15 complex dot product    
- * @param  *pSrcA points to the first input vector    
- * @param  *pSrcB points to the second input vector    
- * @param  numSamples number of complex samples in each vector    
- * @param  *realResult real part of the result returned here    
- * @param  *imagResult imaginary part of the result returned here    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result.    
- * These are accumulated in a 64-bit accumulator with 34.30 precision.    
- * As a final step, the accumulators are converted to 8.24 format.    
- * The return results realResult and imagResult are in 8.24 format.    
- */
-
-void arm_cmplx_dot_prod_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  uint32_t numSamples,
-  q31_t * realResult,
-  q31_t * imagResult)
-{
-  q63_t real_sum = 0, imag_sum = 0;              /* Temporary result storage */
-  q15_t a0,b0,c0,d0;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += (q31_t)a0 * c0;
-      imag_sum += (q31_t)a0 * d0;
-      real_sum -= (q31_t)b0 * d0;
-      imag_sum += (q31_t)b0 * c0;
-      
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += (q31_t)a0 * c0;
-      imag_sum += (q31_t)a0 * d0;
-      real_sum -= (q31_t)b0 * d0;
-      imag_sum += (q31_t)b0 * c0;
-      
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += (q31_t)a0 * c0;
-      imag_sum += (q31_t)a0 * d0;
-      real_sum -= (q31_t)b0 * d0;
-      imag_sum += (q31_t)b0 * c0;
-      
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += (q31_t)a0 * c0;
-      imag_sum += (q31_t)a0 * d0;
-      real_sum -= (q31_t)b0 * d0;
-      imag_sum += (q31_t)b0 * c0;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += (q31_t)a0 * c0;
-      imag_sum += (q31_t)a0 * d0;
-      real_sum -= (q31_t)b0 * d0;
-      imag_sum += (q31_t)b0 * c0;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += a0 * c0;
-      imag_sum += a0 * d0;
-      real_sum -= b0 * d0;
-      imag_sum += b0 * c0;
-
-
-      /* Decrement the loop counter */
-      numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  /* Store the real and imaginary results in 8.24 format  */
-  /* Convert real data in 34.30 to 8.24 by 6 right shifts */
-  *realResult = (q31_t) (real_sum >> 6);
-  /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
-  *imagResult = (q31_t) (imag_sum >> 6);
-}
-
-/**    
- * @} end of cmplx_dot_prod group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
deleted file mode 100644
index 6eeafc10..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
+++ /dev/null
@@ -1,187 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_dot_prod_q31.c    
-*    
-* Description:	Q31 complex dot product    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_dot_prod    
- * @{    
- */
-
-/**    
- * @brief  Q31 complex dot product    
- * @param  *pSrcA points to the first input vector    
- * @param  *pSrcB points to the second input vector    
- * @param  numSamples number of complex samples in each vector    
- * @param  *realResult real part of the result returned here    
- * @param  *imagResult imaginary part of the result returned here    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format.    
- * The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits.    
- * Additions are nonsaturating and no overflow will occur as long as numSamples is less than 32768.    
- * The return results realResult and imagResult are in 16.48 format.    
- * Input down scaling is not required.    
- */
-
-void arm_cmplx_dot_prod_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  uint32_t numSamples,
-  q63_t * realResult,
-  q63_t * imagResult)
-{
-  q63_t real_sum = 0, imag_sum = 0;              /* Temporary result storage */
-  q31_t a0,b0,c0,d0;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += ((q63_t)a0 * c0) >> 14;
-      imag_sum += ((q63_t)a0 * d0) >> 14;
-      real_sum -= ((q63_t)b0 * d0) >> 14;
-      imag_sum += ((q63_t)b0 * c0) >> 14;
-      
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += ((q63_t)a0 * c0) >> 14;
-      imag_sum += ((q63_t)a0 * d0) >> 14;
-      real_sum -= ((q63_t)b0 * d0) >> 14;
-      imag_sum += ((q63_t)b0 * c0) >> 14;
-      
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += ((q63_t)a0 * c0) >> 14;
-      imag_sum += ((q63_t)a0 * d0) >> 14;
-      real_sum -= ((q63_t)b0 * d0) >> 14;
-      imag_sum += ((q63_t)b0 * c0) >> 14;
-      
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += ((q63_t)a0 * c0) >> 14;
-      imag_sum += ((q63_t)a0 * d0) >> 14;
-      real_sum -= ((q63_t)b0 * d0) >> 14;
-      imag_sum += ((q63_t)b0 * c0) >> 14;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-  }
-
-  /* If the numSamples  is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += ((q63_t)a0 * c0) >> 14;
-      imag_sum += ((q63_t)a0 * d0) >> 14;
-      real_sum -= ((q63_t)b0 * d0) >> 14;
-      imag_sum += ((q63_t)b0 * c0) >> 14;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-      a0 = *pSrcA++;
-      b0 = *pSrcA++;
-      c0 = *pSrcB++;
-      d0 = *pSrcB++;  
-  
-      real_sum += ((q63_t)a0 * c0) >> 14;
-      imag_sum += ((q63_t)a0 * d0) >> 14;
-      real_sum -= ((q63_t)b0 * d0) >> 14;
-      imag_sum += ((q63_t)b0 * c0) >> 14;
-
-      /* Decrement the loop counter */
-      numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  /* Store the real and imaginary results in 16.48 format  */
-  *realResult = real_sum;
-  *imagResult = imag_sum;
-}
-
-/**    
- * @} end of cmplx_dot_prod group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
deleted file mode 100644
index 497348b3..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
+++ /dev/null
@@ -1,165 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_f32.c    
-*    
-* Description:	Floating-point complex magnitude.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @defgroup cmplx_mag Complex Magnitude    
- *    
- * Computes the magnitude of the elements of a complex data vector.    
- *   
- * The pSrc points to the source data and    
- * pDst points to the where the result should be written.    
- * numSamples specifies the number of complex samples    
- * in the input array and the data is stored in an interleaved fashion    
- * (real, imag, real, imag, ...).    
- * The input array has a total of 2*numSamples values;    
- * the output array has a total of numSamples values.    
- * The underlying algorithm is used:    
- *    
- * 
    
- * for(n=0; n    
- *    
- * There are separate functions for floating-point, Q15, and Q31 data types.    
- */
-
-/**    
- * @addtogroup cmplx_mag    
- * @{    
- */
-/**    
- * @brief Floating-point complex magnitude.    
- * @param[in]       *pSrc points to complex input buffer    
- * @param[out]      *pDst points to real output buffer    
- * @param[in]       numSamples number of complex samples in the input vector    
- * @return none.    
- *    
- */
-
-
-void arm_cmplx_mag_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples)
-{
-  float32_t realIn, imagIn;                      /* Temporary variables to hold input values */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    /* store the result in the destination buffer. */
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    /* store the result in the destination buffer. */
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* out = sqrt((real * real) + (imag * imag)) */
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    /* store the result in the destination buffer. */
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of cmplx_mag group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
deleted file mode 100644
index bfe2a5dc..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
+++ /dev/null
@@ -1,153 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_q15.c    
-*    
-* Description:	Q15 complex magnitude.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_mag    
- * @{    
- */
-
-
-/**    
- * @brief  Q15 complex magnitude    
- * @param  *pSrc points to the complex input vector    
- * @param  *pDst points to the real output vector    
- * @param  numSamples number of complex samples in the input vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.    
- */
-
-void arm_cmplx_mag_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples)
-{
-  q31_t acc0, acc1;                              /* Accumulators */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-  q31_t in1, in2, in3, in4;
-  q31_t acc2, acc3;
-
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
-    in1 = *__SIMD32(pSrc)++;
-    in2 = *__SIMD32(pSrc)++;
-    in3 = *__SIMD32(pSrc)++;
-    in4 = *__SIMD32(pSrc)++;
-
-    acc0 = __SMUAD(in1, in1);
-    acc1 = __SMUAD(in2, in2);
-    acc2 = __SMUAD(in3, in3);
-    acc3 = __SMUAD(in4, in4);
-
-    /* store the result in 2.14 format in the destination buffer. */
-    arm_sqrt_q15((q15_t) ((acc0) >> 17), pDst++);
-    arm_sqrt_q15((q15_t) ((acc1) >> 17), pDst++);
-    arm_sqrt_q15((q15_t) ((acc2) >> 17), pDst++);
-    arm_sqrt_q15((q15_t) ((acc3) >> 17), pDst++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
-    in1 = *__SIMD32(pSrc)++;
-    acc0 = __SMUAD(in1, in1);
-
-    /* store the result in 2.14 format in the destination buffer. */
-    arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t real, imag;                              /* Temporary variables to hold input values */
-
-  while(numSamples > 0u)
-  {
-    /* out = sqrt(real * real + imag * imag) */
-    real = *pSrc++;
-    imag = *pSrc++;
-
-    acc0 = (real * real);
-    acc1 = (imag * imag);
-
-    /* store the result in 2.14 format in the destination buffer. */
-    arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of cmplx_mag group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
deleted file mode 100644
index 10916739..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
+++ /dev/null
@@ -1,185 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_q31.c    
-*    
-* Description:	Q31 complex magnitude    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupCmplxMath        
- */
-
-/**        
- * @addtogroup cmplx_mag        
- * @{        
- */
-
-/**        
- * @brief  Q31 complex magnitude        
- * @param  *pSrc points to the complex input vector        
- * @param  *pDst points to the real output vector        
- * @param  numSamples number of complex samples in the input vector        
- * @return none.        
- *        
- * Scaling and Overflow Behavior:        
- * \par        
- * The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format.        
- * Input down scaling is not required.        
- */
-
-void arm_cmplx_mag_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples)
-{
-  q31_t real, imag;                              /* Temporary variables to hold input values */
-  q31_t acc0, acc1;                              /* Accumulators */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t real1, real2, imag1, imag2;              /* Temporary variables to hold input values */
-  q31_t out1, out2, out3, out4;                  /* Accumulators */
-  q63_t mul1, mul2, mul3, mul4;                  /* Temporary variables */
-
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* read complex input from source buffer */
-    real1 = pSrc[0];
-    imag1 = pSrc[1];
-    real2 = pSrc[2];
-    imag2 = pSrc[3];
-
-    /* calculate power of input values */
-    mul1 = (q63_t) real1 *real1;
-    mul2 = (q63_t) imag1 *imag1;
-    mul3 = (q63_t) real2 *real2;
-    mul4 = (q63_t) imag2 *imag2;
-
-    /* get the result to 3.29 format */
-    out1 = (q31_t) (mul1 >> 33);
-    out2 = (q31_t) (mul2 >> 33);
-    out3 = (q31_t) (mul3 >> 33);
-    out4 = (q31_t) (mul4 >> 33);
-
-    /* add real and imaginary accumulators */
-    out1 = out1 + out2;
-    out3 = out3 + out4;
-
-    /* read complex input from source buffer */
-    real1 = pSrc[4];
-    imag1 = pSrc[5];
-    real2 = pSrc[6];
-    imag2 = pSrc[7];
-
-    /* calculate square root */
-    arm_sqrt_q31(out1, &pDst[0]);
-
-    /* calculate power of input values */
-    mul1 = (q63_t) real1 *real1;
-
-    /* calculate square root */
-    arm_sqrt_q31(out3, &pDst[1]);
-
-    /* calculate power of input values */
-    mul2 = (q63_t) imag1 *imag1;
-    mul3 = (q63_t) real2 *real2;
-    mul4 = (q63_t) imag2 *imag2;
-
-    /* get the result to 3.29 format */
-    out1 = (q31_t) (mul1 >> 33);
-    out2 = (q31_t) (mul2 >> 33);
-    out3 = (q31_t) (mul3 >> 33);
-    out4 = (q31_t) (mul4 >> 33);
-
-    /* add real and imaginary accumulators */
-    out1 = out1 + out2;
-    out3 = out3 + out4;
-
-    /* calculate square root */
-    arm_sqrt_q31(out1, &pDst[2]);
-
-    /* increment destination by 8 to process next samples */
-    pSrc += 8u;
-
-    /* calculate square root */
-    arm_sqrt_q31(out3, &pDst[3]);
-
-    /* increment destination by 4 to process next samples */
-    pDst += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 2.30 format in the destination buffer. */
-    arm_sqrt_q31(acc0 + acc1, pDst++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of cmplx_mag group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
deleted file mode 100644
index 5bf3f806..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
+++ /dev/null
@@ -1,215 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_squared_f32.c    
-*    
-* Description:	Floating-point complex magnitude squared.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**        
- * @ingroup groupCmplxMath        
- */
-
-/**        
- * @defgroup cmplx_mag_squared Complex Magnitude Squared        
- *        
- * Computes the magnitude squared of the elements of a complex data vector.        
- *       
- * The pSrc points to the source data and        
- * pDst points to the where the result should be written.        
- * numSamples specifies the number of complex samples        
- * in the input array and the data is stored in an interleaved fashion        
- * (real, imag, real, imag, ...).        
- * The input array has a total of 2*numSamples values;        
- * the output array has a total of numSamples values.        
- *        
- * The underlying algorithm is used:        
- *        
- * 
        
- * for(n=0; n        
- *        
- * There are separate functions for floating-point, Q15, and Q31 data types.        
- */
-
-/**        
- * @addtogroup cmplx_mag_squared        
- * @{        
- */
-
-
-/**        
- * @brief  Floating-point complex magnitude squared        
- * @param[in]  *pSrc points to the complex input vector        
- * @param[out]  *pDst points to the real output vector        
- * @param[in]  numSamples number of complex samples in the input vector        
- * @return none.        
- */
-
-void arm_cmplx_mag_squared_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples)
-{
-  float32_t real, imag;                          /* Temporary variables to store real and imaginary values */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-  float32_t real1, real2, real3, real4;          /* Temporary variables to hold real values */
-  float32_t imag1, imag2, imag3, imag4;          /* Temporary variables to hold imaginary values */
-  float32_t mul1, mul2, mul3, mul4;              /* Temporary variables */
-  float32_t mul5, mul6, mul7, mul8;              /* Temporary variables */
-  float32_t out1, out2, out3, out4;              /* Temporary variables to hold output values */
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    /* read real input sample from source buffer */
-    real1 = pSrc[0];
-    /* read imaginary input sample from source buffer */
-    imag1 = pSrc[1];
-
-    /* calculate power of real value */
-    mul1 = real1 * real1;
-
-    /* read real input sample from source buffer */
-    real2 = pSrc[2];
-
-    /* calculate power of imaginary value */
-    mul2 = imag1 * imag1;
-
-    /* read imaginary input sample from source buffer */
-    imag2 = pSrc[3];
-
-    /* calculate power of real value */
-    mul3 = real2 * real2;
-
-    /* read real input sample from source buffer */
-    real3 = pSrc[4];
-
-    /* calculate power of imaginary value */
-    mul4 = imag2 * imag2;
-
-    /* read imaginary input sample from source buffer */
-    imag3 = pSrc[5];
-
-    /* calculate power of real value */
-    mul5 = real3 * real3;
-    /* calculate power of imaginary value */
-    mul6 = imag3 * imag3;
-
-    /* read real input sample from source buffer */
-    real4 = pSrc[6];
-
-    /* accumulate real and imaginary powers */
-    out1 = mul1 + mul2;
-
-    /* read imaginary input sample from source buffer */
-    imag4 = pSrc[7];
-
-    /* accumulate real and imaginary powers */
-    out2 = mul3 + mul4;
-
-    /* calculate power of real value */
-    mul7 = real4 * real4;
-    /* calculate power of imaginary value */
-    mul8 = imag4 * imag4;
-
-    /* store output to destination */
-    pDst[0] = out1;
-
-    /* accumulate real and imaginary powers */
-    out3 = mul5 + mul6;
-
-    /* store output to destination */
-    pDst[1] = out2;
-
-    /* accumulate real and imaginary powers */
-    out4 = mul7 + mul8;
-
-    /* store output to destination */
-    pDst[2] = out3;
-
-    /* increment destination pointer by 8 to process next samples */
-    pSrc += 8u;
-
-    /* store output to destination */
-    pDst[3] = out4;
-
-    /* increment destination pointer by 4 to process next samples */
-    pDst += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    real = *pSrc++;
-    imag = *pSrc++;
-
-    /* out = (real * real) + (imag * imag) */
-    /* store the result in the destination buffer. */
-    *pDst++ = (real * real) + (imag * imag);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of cmplx_mag_squared group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
deleted file mode 100644
index f5148ba6..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
+++ /dev/null
@@ -1,148 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_squared_q15.c    
-*    
-* Description:	Q15 complex magnitude squared.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_mag_squared    
- * @{    
- */
-
-/**    
- * @brief  Q15 complex magnitude squared    
- * @param  *pSrc points to the complex input vector    
- * @param  *pDst points to the real output vector    
- * @param  numSamples number of complex samples in the input vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.    
- */
-
-void arm_cmplx_mag_squared_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples)
-{
-  q31_t acc0, acc1;                              /* Accumulators */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-  q31_t in1, in2, in3, in4;
-  q31_t acc2, acc3;
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    in1 = *__SIMD32(pSrc)++;
-    in2 = *__SIMD32(pSrc)++;
-    in3 = *__SIMD32(pSrc)++;
-    in4 = *__SIMD32(pSrc)++;
-
-    acc0 = __SMUAD(in1, in1);
-    acc1 = __SMUAD(in2, in2);
-    acc2 = __SMUAD(in3, in3);
-    acc3 = __SMUAD(in4, in4);
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ = (q15_t) (acc0 >> 17);
-    *pDst++ = (q15_t) (acc1 >> 17);
-    *pDst++ = (q15_t) (acc2 >> 17);
-    *pDst++ = (q15_t) (acc3 >> 17);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    in1 = *__SIMD32(pSrc)++;
-    acc0 = __SMUAD(in1, in1);
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ = (q15_t) (acc0 >> 17);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t real, imag;                              /* Temporary variables to store real and imaginary values */
-
-  while(numSamples > 0u)
-  {
-    /* out = ((real * real) + (imag * imag)) */
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (real * real);
-    acc1 = (imag * imag);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of cmplx_mag_squared group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
deleted file mode 100644
index 2cc0b1f3..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
+++ /dev/null
@@ -1,161 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_squared_q31.c    
-*    
-* Description:	Q31 complex magnitude squared.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_mag_squared    
- * @{    
- */
-
-
-/**    
- * @brief  Q31 complex magnitude squared    
- * @param  *pSrc points to the complex input vector    
- * @param  *pDst points to the real output vector    
- * @param  numSamples number of complex samples in the input vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.    
- * Input down scaling is not required.    
- */
-
-void arm_cmplx_mag_squared_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples)
-{
-  q31_t real, imag;                              /* Temporary variables to store real and imaginary values */
-  q31_t acc0, acc1;                              /* Accumulators */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* out = ((real * real) + (imag * imag)) */
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of cmplx_mag_squared group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
deleted file mode 100644
index bfb7d51c..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
+++ /dev/null
@@ -1,207 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_cmplx_f32.c    
-*    
-* Description:	Floating-point complex-by-complex multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**        
- * @ingroup groupCmplxMath        
- */
-
-/**        
- * @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication        
- *        
- * Multiplies a complex vector by another complex vector and generates a complex result.        
- * The data in the complex arrays is stored in an interleaved fashion        
- * (real, imag, real, imag, ...).        
- * The parameter numSamples represents the number of complex        
- * samples processed.  The complex arrays have a total of 2*numSamples        
- * real values.        
- *        
- * The underlying algorithm is used:        
- *        
- * 
        
- * for(n=0; n        
- *        
- * There are separate functions for floating-point, Q15, and Q31 data types.        
- */
-
-/**        
- * @addtogroup CmplxByCmplxMult        
- * @{        
- */
-
-
-/**        
- * @brief  Floating-point complex-by-complex multiplication        
- * @param[in]  *pSrcA points to the first input vector        
- * @param[in]  *pSrcB points to the second input vector        
- * @param[out]  *pDst  points to the output vector        
- * @param[in]  numSamples number of complex samples in each vector        
- * @return none.        
- */
-
-void arm_cmplx_mult_cmplx_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  float32_t * pDst,
-  uint32_t numSamples)
-{
-  float32_t a1, b1, c1, d1;                      /* Temporary variables to store real and imaginary values */
-  uint32_t blkCnt;                               /* loop counters */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t a2, b2, c2, d2;                      /* Temporary variables to store real and imaginary values */
-  float32_t acc1, acc2, acc3, acc4;
-
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a1 = *pSrcA;                /* A[2 * i] */
-    c1 = *pSrcB;                /* B[2 * i] */
-
-    b1 = *(pSrcA + 1);          /* A[2 * i + 1] */
-    acc1 = a1 * c1;             /* acc1 = A[2 * i] * B[2 * i] */
-
-    a2 = *(pSrcA + 2);          /* A[2 * i + 2] */
-    acc2 = (b1 * c1);           /* acc2 = A[2 * i + 1] * B[2 * i] */
-
-    d1 = *(pSrcB + 1);          /* B[2 * i + 1] */
-    c2 = *(pSrcB + 2);          /* B[2 * i + 2] */
-    acc1 -= b1 * d1;            /* acc1 =      A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */
-
-    d2 = *(pSrcB + 3);          /* B[2 * i + 3] */
-    acc3 = a2 * c2;             /* acc3 =       A[2 * i + 2] * B[2 * i + 2] */
-
-    b2 = *(pSrcA + 3);          /* A[2 * i + 3] */
-    acc2 += (a1 * d1);          /* acc2 =      A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1] */
-
-    a1 = *(pSrcA + 4);          /* A[2 * i + 4] */
-    acc4 = (a2 * d2);           /* acc4 =   A[2 * i + 2] * B[2 * i + 3] */
-
-    c1 = *(pSrcB + 4);          /* B[2 * i + 4] */
-    acc3 -= (b2 * d2);          /* acc3 =       A[2 * i + 2] * B[2 * i + 2] - A[2 * i + 3] * B[2 * i + 3] */
-    *pDst = acc1;               /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */
-
-    b1 = *(pSrcA + 5);          /* A[2 * i + 5] */
-    acc4 += b2 * c2;            /* acc4 =   A[2 * i + 2] * B[2 * i + 3] + A[2 * i + 3] * B[2 * i + 2] */
-
-    *(pDst + 1) = acc2;         /* C[2 * i + 1] = A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1]  */
-    acc1 = (a1 * c1);
-
-    d1 = *(pSrcB + 5);
-    acc2 = (b1 * c1);
-
-    *(pDst + 2) = acc3;
-    *(pDst + 3) = acc4;
-
-    a2 = *(pSrcA + 6);
-    acc1 -= (b1 * d1);
-
-    c2 = *(pSrcB + 6);
-    acc2 += (a1 * d1);
-
-    b2 = *(pSrcA + 7);
-    acc3 = (a2 * c2);
-
-    d2 = *(pSrcB + 7);
-    acc4 = (b2 * c2);
-
-    *(pDst + 4) = acc1;
-    pSrcA += 8u;
-
-    acc3 -= (b2 * d2);
-    acc4 += (a2 * d2);
-
-    *(pDst + 5) = acc2;
-    pSrcB += 8u;
-
-    *(pDst + 6) = acc3;
-    *(pDst + 7) = acc4;
-
-    pDst += 8u;
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a1 = *pSrcA++;
-    b1 = *pSrcA++;
-    c1 = *pSrcB++;
-    d1 = *pSrcB++;
-
-    /* store the result in the destination buffer. */
-    *pDst++ = (a1 * c1) - (b1 * d1);
-    *pDst++ = (a1 * d1) + (b1 * c1);
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of CmplxByCmplxMult group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
deleted file mode 100644
index df6eac05..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
+++ /dev/null
@@ -1,193 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_cmplx_q15.c    
-*    
-* Description:	Q15 complex-by-complex multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup CmplxByCmplxMult    
- * @{    
- */
-
-/**    
- * @brief  Q15 complex-by-complex multiplication    
- * @param[in]  *pSrcA points to the first input vector    
- * @param[in]  *pSrcB points to the second input vector    
- * @param[out]  *pDst  points to the output vector    
- * @param[in]  numSamples number of complex samples in each vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.    
- */
-
-void arm_cmplx_mult_cmplx_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  q15_t * pDst,
-  uint32_t numSamples)
-{
-  q15_t a, b, c, d;                              /* Temporary variables to store real and imaginary values */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counters */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    /* Decrement the blockSize loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of CmplxByCmplxMult group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
deleted file mode 100644
index ec6b9475..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
+++ /dev/null
@@ -1,326 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_cmplx_q31.c    
-*    
-* Description:	Q31 complex-by-complex multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup CmplxByCmplxMult    
- * @{    
- */
-
-
-/**    
- * @brief  Q31 complex-by-complex multiplication    
- * @param[in]  *pSrcA points to the first input vector    
- * @param[in]  *pSrcB points to the second input vector    
- * @param[out]  *pDst  points to the output vector    
- * @param[in]  numSamples number of complex samples in each vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.    
- * Input down scaling is not required.    
- */
-
-void arm_cmplx_mult_cmplx_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  q31_t * pDst,
-  uint32_t numSamples)
-{
-  q31_t a, b, c, d;                              /* Temporary variables to store real and imaginary values */
-  uint32_t blkCnt;                               /* loop counters */
-  q31_t mul1, mul2, mul3, mul4;
-  q31_t out1, out2;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 1u;
-
-  /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.     
-   ** a second loop below computes the remaining 1 sample. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 2, compute any remaining output samples here.     
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x2u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of CmplxByCmplxMult group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
deleted file mode 100644
index 04e8ecaa..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
+++ /dev/null
@@ -1,225 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_real_f32.c    
-*    
-* Description:	Floating-point complex by real multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupCmplxMath        
- */
-
-/**        
- * @defgroup CmplxByRealMult Complex-by-Real Multiplication        
- *        
- * Multiplies a complex vector by a real vector and generates a complex result.        
- * The data in the complex arrays is stored in an interleaved fashion        
- * (real, imag, real, imag, ...).        
- * The parameter numSamples represents the number of complex        
- * samples processed.  The complex arrays have a total of 2*numSamples        
- * real values while the real array has a total of numSamples        
- * real values.        
- *        
- * The underlying algorithm is used:        
- *        
- * 
        
- * for(n=0; n        
- *        
- * There are separate functions for floating-point, Q15, and Q31 data types.        
- */
-
-/**        
- * @addtogroup CmplxByRealMult        
- * @{        
- */
-
-
-/**        
- * @brief  Floating-point complex-by-real multiplication        
- * @param[in]  *pSrcCmplx points to the complex input vector        
- * @param[in]  *pSrcReal points to the real input vector        
- * @param[out]  *pCmplxDst points to the complex output vector        
- * @param[in]  numSamples number of samples in each vector        
- * @return none.        
- */
-
-void arm_cmplx_mult_real_f32(
-  float32_t * pSrcCmplx,
-  float32_t * pSrcReal,
-  float32_t * pCmplxDst,
-  uint32_t numSamples)
-{
-  float32_t in;                                  /* Temporary variable to store input value */
-  uint32_t blkCnt;                               /* loop counters */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t inA1, inA2, inA3, inA4;              /* Temporary variables to hold input data */
-  float32_t inA5, inA6, inA7, inA8;              /* Temporary variables to hold input data */
-  float32_t inB1, inB2, inB3, inB4;              /* Temporary variables to hold input data */
-  float32_t out1, out2, out3, out4;              /* Temporary variables to hold output data */
-  float32_t out5, out6, out7, out8;              /* Temporary variables to hold output data */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    /* read input from complex input buffer */
-    inA1 = pSrcCmplx[0];
-    inA2 = pSrcCmplx[1];
-    /* read input from real input buffer */
-    inB1 = pSrcReal[0];
-
-    /* read input from complex input buffer */
-    inA3 = pSrcCmplx[2];
-
-    /* multiply complex buffer real input with real buffer input */
-    out1 = inA1 * inB1;
-
-    /* read input from complex input buffer */
-    inA4 = pSrcCmplx[3];
-
-    /* multiply complex buffer imaginary input with real buffer input */
-    out2 = inA2 * inB1;
-
-    /* read input from real input buffer */
-    inB2 = pSrcReal[1];
-    /* read input from complex input buffer */
-    inA5 = pSrcCmplx[4];
-
-    /* multiply complex buffer real input with real buffer input */
-    out3 = inA3 * inB2;
-
-    /* read input from complex input buffer */
-    inA6 = pSrcCmplx[5];
-    /* read input from real input buffer */
-    inB3 = pSrcReal[2];
-
-    /* multiply complex buffer imaginary input with real buffer input */
-    out4 = inA4 * inB2;
-
-    /* read input from complex input buffer */
-    inA7 = pSrcCmplx[6];
-
-    /* multiply complex buffer real input with real buffer input */
-    out5 = inA5 * inB3;
-
-    /* read input from complex input buffer */
-    inA8 = pSrcCmplx[7];
-
-    /* multiply complex buffer imaginary input with real buffer input */
-    out6 = inA6 * inB3;
-
-    /* read input from real input buffer */
-    inB4 = pSrcReal[3];
-
-    /* store result to destination bufer */
-    pCmplxDst[0] = out1;
-
-    /* multiply complex buffer real input with real buffer input */
-    out7 = inA7 * inB4;
-
-    /* store result to destination bufer */
-    pCmplxDst[1] = out2;
-
-    /* multiply complex buffer imaginary input with real buffer input */
-    out8 = inA8 * inB4;
-
-    /* store result to destination bufer */
-    pCmplxDst[2] = out3;
-    pCmplxDst[3] = out4;
-    pCmplxDst[4] = out5;
-
-    /* incremnet complex input buffer by 8 to process next samples */
-    pSrcCmplx += 8u;
-
-    /* store result to destination bufer */
-    pCmplxDst[5] = out6;
-
-    /* increment real input buffer by 4 to process next samples */
-    pSrcReal += 4u;
-
-    /* store result to destination bufer */
-    pCmplxDst[6] = out7;
-    pCmplxDst[7] = out8;
-
-    /* increment destination buffer by 8 to process next sampels */
-    pCmplxDst += 8u;
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    in = *pSrcReal++;
-    /* store the result in the destination buffer. */
-    *pCmplxDst++ = (*pSrcCmplx++) * (in);
-    *pCmplxDst++ = (*pSrcCmplx++) * (in);
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of CmplxByRealMult group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
deleted file mode 100644
index ebf7255d..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
+++ /dev/null
@@ -1,203 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_real_q15.c    
-*    
-* Description:	Q15 complex by real multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup CmplxByRealMult    
- * @{    
- */
-
-
-/**    
- * @brief  Q15 complex-by-real multiplication    
- * @param[in]  *pSrcCmplx points to the complex input vector    
- * @param[in]  *pSrcReal points to the real input vector    
- * @param[out]  *pCmplxDst points to the complex output vector    
- * @param[in]  numSamples number of samples in each vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
- */
-
-void arm_cmplx_mult_real_q15(
-  q15_t * pSrcCmplx,
-  q15_t * pSrcReal,
-  q15_t * pCmplxDst,
-  uint32_t numSamples)
-{
-  q15_t in;                                      /* Temporary variable to store input value */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counters */
-  q31_t inA1, inA2;                              /* Temporary variables to hold input data */
-  q31_t inB1;                                    /* Temporary variables to hold input data */
-  q15_t out1, out2, out3, out4;                  /* Temporary variables to hold output data */
-  q31_t mul1, mul2, mul3, mul4;                  /* Temporary variables to hold intermediate data */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    /* read complex number both real and imaginary from complex input buffer */
-    inA1 = *__SIMD32(pSrcCmplx)++;
-    /* read two real values at a time from real input buffer */
-    inB1 = *__SIMD32(pSrcReal)++;
-    /* read complex number both real and imaginary from complex input buffer */
-    inA2 = *__SIMD32(pSrcCmplx)++;
-
-    /* multiply complex number with real numbers */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
-    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
-    mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
-    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
-
-#else
-
-    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
-    mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
-    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
-    mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
-
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
-
-    /* saturate the result */
-    out1 = (q15_t) __SSAT(mul1 >> 15u, 16);
-    out2 = (q15_t) __SSAT(mul2 >> 15u, 16);
-    out3 = (q15_t) __SSAT(mul3 >> 15u, 16);
-    out4 = (q15_t) __SSAT(mul4 >> 15u, 16);
-
-    /* pack real and imaginary outputs and store them to destination */
-    *__SIMD32(pCmplxDst)++ = __PKHBT(out1, out2, 16);
-    *__SIMD32(pCmplxDst)++ = __PKHBT(out3, out4, 16);
-
-    inA1 = *__SIMD32(pSrcCmplx)++;
-    inB1 = *__SIMD32(pSrcReal)++;
-    inA2 = *__SIMD32(pSrcCmplx)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
-    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
-    mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
-    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
-
-#else
-
-    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
-    mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
-    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
-    mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
-
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = (q15_t) __SSAT(mul1 >> 15u, 16);
-    out2 = (q15_t) __SSAT(mul2 >> 15u, 16);
-    out3 = (q15_t) __SSAT(mul3 >> 15u, 16);
-    out4 = (q15_t) __SSAT(mul4 >> 15u, 16);
-
-    *__SIMD32(pCmplxDst)++ = __PKHBT(out1, out2, 16);
-    *__SIMD32(pCmplxDst)++ = __PKHBT(out3, out4, 16);
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    in = *pSrcReal++;
-    /* store the result in the destination buffer. */
-    *pCmplxDst++ =
-      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
-    *pCmplxDst++ =
-      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* realOut = realA * realB.            */
-    /* imagOut = imagA * realB.                */
-    in = *pSrcReal++;
-    /* store the result in the destination buffer. */
-    *pCmplxDst++ =
-      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
-    *pCmplxDst++ =
-      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
-
-    /* Decrement the numSamples loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of CmplxByRealMult group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
deleted file mode 100644
index 73db1077..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
+++ /dev/null
@@ -1,223 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_real_q31.c    
-*    
-* Description:	Q31 complex by real multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup CmplxByRealMult    
- * @{    
- */
-
-
-/**    
- * @brief  Q31 complex-by-real multiplication    
- * @param[in]  *pSrcCmplx points to the complex input vector    
- * @param[in]  *pSrcReal points to the real input vector    
- * @param[out]  *pCmplxDst points to the complex output vector    
- * @param[in]  numSamples number of samples in each vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.    
- */
-
-void arm_cmplx_mult_real_q31(
-  q31_t * pSrcCmplx,
-  q31_t * pSrcReal,
-  q31_t * pCmplxDst,
-  uint32_t numSamples)
-{
-  q31_t inA1;                                    /* Temporary variable to store input value */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counters */
-  q31_t inA2, inA3, inA4;                        /* Temporary variables to hold input data */
-  q31_t inB1, inB2;                              /* Temporary variabels to hold input data */
-  q31_t out1, out2, out3, out4;                  /* Temporary variables to hold output data */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    /* read real input from complex input buffer */
-    inA1 = *pSrcCmplx++;
-    inA2 = *pSrcCmplx++;
-    /* read input from real input bufer */
-    inB1 = *pSrcReal++;
-    inB2 = *pSrcReal++;
-    /* read imaginary input from complex input buffer */
-    inA3 = *pSrcCmplx++;
-    inA4 = *pSrcCmplx++;
-
-    /* multiply complex input with real input */
-    out1 = ((q63_t) inA1 * inB1) >> 32;
-    out2 = ((q63_t) inA2 * inB1) >> 32;
-    out3 = ((q63_t) inA3 * inB2) >> 32;
-    out4 = ((q63_t) inA4 * inB2) >> 32;
-
-    /* sature the result */
-    out1 = __SSAT(out1, 31);
-    out2 = __SSAT(out2, 31);
-    out3 = __SSAT(out3, 31);
-    out4 = __SSAT(out4, 31);
-
-    /* get result in 1.31 format */
-    out1 = out1 << 1;
-    out2 = out2 << 1;
-    out3 = out3 << 1;
-    out4 = out4 << 1;
-
-    /* store the result to destination buffer */
-    *pCmplxDst++ = out1;
-    *pCmplxDst++ = out2;
-    *pCmplxDst++ = out3;
-    *pCmplxDst++ = out4;
-
-    /* read real input from complex input buffer */
-    inA1 = *pSrcCmplx++;
-    inA2 = *pSrcCmplx++;
-    /* read input from real input bufer */
-    inB1 = *pSrcReal++;
-    inB2 = *pSrcReal++;
-    /* read imaginary input from complex input buffer */
-    inA3 = *pSrcCmplx++;
-    inA4 = *pSrcCmplx++;
-
-    /* multiply complex input with real input */
-    out1 = ((q63_t) inA1 * inB1) >> 32;
-    out2 = ((q63_t) inA2 * inB1) >> 32;
-    out3 = ((q63_t) inA3 * inB2) >> 32;
-    out4 = ((q63_t) inA4 * inB2) >> 32;
-
-    /* sature the result */
-    out1 = __SSAT(out1, 31);
-    out2 = __SSAT(out2, 31);
-    out3 = __SSAT(out3, 31);
-    out4 = __SSAT(out4, 31);
-
-    /* get result in 1.31 format */
-    out1 = out1 << 1;
-    out2 = out2 << 1;
-    out3 = out3 << 1;
-    out4 = out4 << 1;
-
-    /* store the result to destination buffer */
-    *pCmplxDst++ = out1;
-    *pCmplxDst++ = out2;
-    *pCmplxDst++ = out3;
-    *pCmplxDst++ = out4;
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    /* read real input from complex input buffer */
-    inA1 = *pSrcCmplx++;
-    inA2 = *pSrcCmplx++;
-    /* read input from real input bufer */
-    inB1 = *pSrcReal++;
-
-    /* multiply complex input with real input */
-    out1 = ((q63_t) inA1 * inB1) >> 32;
-    out2 = ((q63_t) inA2 * inB1) >> 32;
-
-    /* sature the result */
-    out1 = __SSAT(out1, 31);
-    out2 = __SSAT(out2, 31);
-
-    /* get result in 1.31 format */
-    out1 = out1 << 1;
-    out2 = out2 << 1;
-
-    /* store the result to destination buffer */
-    *pCmplxDst++ = out1;
-    *pCmplxDst++ = out2;
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* realOut = realA * realB.            */
-    /* imagReal = imagA * realB.               */
-    inA1 = *pSrcReal++;
-    /* store the result in the destination buffer. */
-    *pCmplxDst++ =
-      (q31_t) clip_q63_to_q31(((q63_t) * pSrcCmplx++ * inA1) >> 31);
-    *pCmplxDst++ =
-      (q31_t) clip_q63_to_q31(((q63_t) * pSrcCmplx++ * inA1) >> 31);
-
-    /* Decrement the numSamples loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of CmplxByRealMult group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_f32.c
deleted file mode 100644
index 2bc1854e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_f32.c
+++ /dev/null
@@ -1,87 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_init_f32.c    
-*    
-* Description:	Floating-point PID Control initialization function    
-*				   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the floating-point PID Control.   
- * @param[in,out] *S points to an instance of the PID structure.   
- * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state & 1 = reset the state.   
- * @return none.   
- * \par Description:   
- * \par    
- * The resetStateFlag specifies whether to set state to zero or not. \n   
- * The function computes the structure fields: A0, A1 A2    
- * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)    
- * also sets the state variables to all zeros.    
- */
-
-void arm_pid_init_f32(
-  arm_pid_instance_f32 * S,
-  int32_t resetStateFlag)
-{
-
-  /* Derived coefficient A0 */
-  S->A0 = S->Kp + S->Ki + S->Kd;
-
-  /* Derived coefficient A1 */
-  S->A1 = (-S->Kp) - ((float32_t) 2.0 * S->Kd);
-
-  /* Derived coefficient A2 */
-  S->A2 = S->Kd;
-
-  /* Check whether state needs reset or not */
-  if(resetStateFlag)
-  {
-    /* Clear the state buffer.  The size will be always 3 samples */
-    memset(S->state, 0, 3u * sizeof(float32_t));
-  }
-
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q15.c
deleted file mode 100644
index c163901b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q15.c
+++ /dev/null
@@ -1,122 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_init_q15.c    
-*    
-* Description:	Q15 PID Control initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
- * @details    
- * @param[in,out] *S points to an instance of the Q15 PID structure.    
- * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.    
- * @return none.    
- * \par Description:   
- * \par    
- * The resetStateFlag specifies whether to set state to zero or not. \n   
- * The function computes the structure fields: A0, A1 A2    
- * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)    
- * also sets the state variables to all zeros.    
- */
-
-void arm_pid_init_q15(
-  arm_pid_instance_q15 * S,
-  int32_t resetStateFlag)
-{
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Derived coefficient A0 */
-  S->A0 = __QADD16(__QADD16(S->Kp, S->Ki), S->Kd);
-
-  /* Derived coefficients and pack into A1 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-  S->A1 = __PKHBT(-__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), S->Kd, 16);
-
-#else
-
-  S->A1 = __PKHBT(S->Kd, -__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-  /* Check whether state needs reset or not */
-  if(resetStateFlag)
-  {
-    /* Clear the state buffer.  The size will be always 3 samples */
-    memset(S->state, 0, 3u * sizeof(q15_t));
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t temp;                                    /*to store the sum */
-
-  /* Derived coefficient A0 */
-  temp = S->Kp + S->Ki + S->Kd;
-  S->A0 = (q15_t) __SSAT(temp, 16);
-
-  /* Derived coefficients and pack into A1 */
-  temp = -(S->Kd + S->Kd + S->Kp);
-  S->A1 = (q15_t) __SSAT(temp, 16);
-  S->A2 = S->Kd;
-
-
-
-  /* Check whether state needs reset or not */
-  if(resetStateFlag)
-  {
-    /* Clear the state buffer.  The size will be always 3 samples */
-    memset(S->state, 0, 3u * sizeof(q15_t));
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q31.c
deleted file mode 100644
index 012e8732..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q31.c
+++ /dev/null
@@ -1,107 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_init_q31.c    
-*    
-* Description:	Q31 PID Control initialization function     
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the Q31 PID Control.   
- * @param[in,out] *S points to an instance of the Q31 PID structure.   
- * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.   
- * @return none.    
- * \par Description:   
- * \par    
- * The resetStateFlag specifies whether to set state to zero or not. \n   
- * The function computes the structure fields: A0, A1 A2    
- * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)    
- * also sets the state variables to all zeros.    
- */
-
-void arm_pid_init_q31(
-  arm_pid_instance_q31 * S,
-  int32_t resetStateFlag)
-{
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Derived coefficient A0 */
-  S->A0 = __QADD(__QADD(S->Kp, S->Ki), S->Kd);
-
-  /* Derived coefficient A1 */
-  S->A1 = -__QADD(__QADD(S->Kd, S->Kd), S->Kp);
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t temp;
-
-  /* Derived coefficient A0 */
-  temp = clip_q63_to_q31((q63_t) S->Kp + S->Ki);
-  S->A0 = clip_q63_to_q31((q63_t) temp + S->Kd);
-
-  /* Derived coefficient A1 */
-  temp = clip_q63_to_q31((q63_t) S->Kd + S->Kd);
-  S->A1 = -clip_q63_to_q31((q63_t) temp + S->Kp);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  /* Derived coefficient A2 */
-  S->A2 = S->Kd;
-
-  /* Check whether state needs reset or not */
-  if(resetStateFlag)
-  {
-    /* Clear the state buffer.  The size will be always 3 samples */
-    memset(S->state, 0, 3u * sizeof(q31_t));
-  }
-
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_f32.c
deleted file mode 100644
index 081cf0cd..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_f32.c
+++ /dev/null
@@ -1,65 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_reset_f32.c    
-*    
-* Description:	Floating-point PID Control reset function   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
-* @brief  Reset function for the floating-point PID Control.   
-* @param[in] *S	Instance pointer of PID control data structure.   
-* @return none.    
-* \par Description:   
-* The function resets the state buffer to zeros.    
-*/
-void arm_pid_reset_f32(
-  arm_pid_instance_f32 * S)
-{
-
-  /* Clear the state buffer.  The size will be always 3 samples */
-  memset(S->state, 0, 3u * sizeof(float32_t));
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q15.c
deleted file mode 100644
index 4dfe4198..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q15.c
+++ /dev/null
@@ -1,64 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_reset_q15.c    
-*    
-* Description:	Q15 PID Control reset function   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
-* @brief  Reset function for the Q15 PID Control.   
-* @param[in] *S		Instance pointer of PID control data structure.   
-* @return none.    
-* \par Description:   
-* The function resets the state buffer to zeros.    
-*/
-void arm_pid_reset_q15(
-  arm_pid_instance_q15 * S)
-{
-  /* Reset state to zero, The size will be always 3 samples */
-  memset(S->state, 0, 3u * sizeof(q15_t));
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q31.c
deleted file mode 100644
index 540a54a5..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q31.c
+++ /dev/null
@@ -1,65 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_reset_q31.c    
-*    
-* Description:	Q31 PID Control reset function   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
-* @brief  Reset function for the Q31 PID Control.   
-* @param[in] *S	Instance pointer of PID control data structure.   
-* @return none.    
-* \par Description:   
-* The function resets the state buffer to zeros.    
-*/
-void arm_pid_reset_q31(
-  arm_pid_instance_q31 * S)
-{
-
-  /* Clear the state buffer.  The size will be always 3 samples */
-  memset(S->state, 0, 3u * sizeof(q31_t));
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_f32.c
deleted file mode 100644
index 37d63a8b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_f32.c
+++ /dev/null
@@ -1,149 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_cos_f32.c    
-*    
-* Description:	Sine and Cosine calculation for floating-point values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupController    
- */
-
-/**    
- * @defgroup SinCos Sine Cosine   
- *    
- * Computes the trigonometric sine and cosine values using a combination of table lookup   
- * and linear interpolation.     
- * There are separate functions for Q31 and floating-point data types.   
- * The input to the floating-point version is in degrees while the   
- * fixed-point Q31 have a scaled input with the range   
- * [-1 0.9999] mapping to [-180 +180] degrees.   
- *
- * The floating point function also allows values that are out of the usual range. When this happens, the function will
- * take extra time to adjust the input value to the range of [-180 180].
- *   
- * The implementation is based on table lookup using 360 values together with linear interpolation.   
- * The steps used are:   
- *  -# Calculation of the nearest integer table index.   
- *  -# Compute the fractional portion (fract) of the input.   
- *  -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1.      
- *  -# Sine value is computed as  *psinVal = y0 + (fract * (y1 - y0)).    
- *  -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1.      
- *  -# Cosine value is computed as  *pcosVal = y0 + (fract * (y1 - y0)).    
- */
-
- /**    
- * @addtogroup SinCos    
- * @{    
- */
-
-/**    
- * @brief  Floating-point sin_cos function.   
- * @param[in]  theta    input value in degrees    
- * @param[out] *pSinVal points to the processed sine output.    
- * @param[out] *pCosVal points to the processed cos output.    
- * @return none.   
- */
-
-void arm_sin_cos_f32(
-  float32_t theta,
-  float32_t * pSinVal,
-  float32_t * pCosVal)
-{
-  float32_t fract, in;                             /* Temporary variables for input, output */
-  uint16_t indexS, indexC;                         /* Index variable */
-  float32_t f1, f2, d1, d2;                        /* Two nearest output values */
-  int32_t n;
-  float32_t findex, Dn, Df, temp;
-
-  /* input x is in degrees */
-  /* Scale the input, divide input by 360, for cosine add 0.25 (pi/2) to read sine table */
-  in = theta * 0.00277777777778f;
-
-  /* Calculation of floor value of input */
-  n = (int32_t) in;
-
-  /* Make negative values towards -infinity */
-  if(in < 0.0f)
-  {
-    n--;
-  }
-  /* Map input value to [0 1] */
-  in = in - (float32_t) n;
-
-  /* Calculation of index of the table */
-  findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
-  indexS = ((uint16_t)findex) & 0x1ff;
-  indexC = (indexS + (FAST_MATH_TABLE_SIZE / 4)) & 0x1ff;
-
-  /* fractional value calculation */
-  fract = findex - (float32_t) indexS;
-
-  /* Read two nearest values of input value from the cos & sin tables */
-  f1 = sinTable_f32[indexC+0];
-  f2 = sinTable_f32[indexC+1];
-  d1 = -sinTable_f32[indexS+0];
-  d2 = -sinTable_f32[indexS+1];
-
-  Dn = 0.0122718463030f; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
-  Df = f2 - f1; // delta between the values of the functions
-  temp = Dn*(d1 + d2) - 2*Df;
-  temp = fract*temp + (3*Df - (d2 + 2*d1)*Dn);
-  temp = fract*temp + d1*Dn;
-
-  /* Calculation of cosine value */
-  *pCosVal = fract*temp + f1;
-  
-  /* Read two nearest values of input value from the cos & sin tables */
-  f1 = sinTable_f32[indexS+0];
-  f2 = sinTable_f32[indexS+1];
-  d1 = sinTable_f32[indexC+0];
-  d2 = sinTable_f32[indexC+1];
-
-  Df = f2 - f1; // delta between the values of the functions
-  temp = Dn*(d1 + d2) - 2*Df;
-  temp = fract*temp + (3*Df - (d2 + 2*d1)*Dn);
-  temp = fract*temp + d1*Dn;
-  
-  /* Calculation of sine value */
-  *pSinVal = fract*temp + f1;
-}
-/**    
- * @} end of SinCos group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_q31.c
deleted file mode 100644
index 5e11b0f9..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_q31.c
+++ /dev/null
@@ -1,122 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_cos_q31.c    
-*    
-* Description:	Cosine & Sine calculation for Q31 values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupController    
- */
-
- /**    
- * @addtogroup SinCos    
- * @{    
- */
-
-/**    
- * @brief  Q31 sin_cos function.   
- * @param[in]  theta    scaled input value in degrees    
- * @param[out] *pSinVal points to the processed sine output.    
- * @param[out] *pCosVal points to the processed cosine output.    
- * @return none.   
- *    
- * The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].   
- *    
- */
-
-void arm_sin_cos_q31(
-  q31_t theta,
-  q31_t * pSinVal,
-  q31_t * pCosVal)
-{
-  q31_t fract;                                 /* Temporary variables for input, output */
-  uint16_t indexS, indexC;                     /* Index variable */
-  q31_t f1, f2, d1, d2;                        /* Two nearest output values */
-  q31_t Dn, Df;
-  q63_t temp;
-  
-  /* Calculate the nearest index */
-  indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
-  indexC = (indexS + 128) & 0x1ff;
-
-  /* Calculation of fractional value */
-  fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
-  
-  /* Read two nearest values of input value from the cos & sin tables */
-  f1 = sinTable_q31[indexC+0];
-  f2 = sinTable_q31[indexC+1];
-  d1 = -sinTable_q31[indexS+0];
-  d2 = -sinTable_q31[indexS+1];
-
-  Dn = 0x1921FB5; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
-  Df = f2 - f1; // delta between the values of the functions
-  temp = Dn*((q63_t)d1 + d2);
-  temp = temp - ((q63_t)Df << 32);
-  temp = (q63_t)fract*(temp >> 31);
-  temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
-  temp = (q63_t)fract*(temp >> 31);
-  temp = temp + (q63_t)d1*Dn;
-  temp = (q63_t)fract*(temp >> 31);
-
-  /* Calculation of cosine value */
-  *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
-  
-  /* Read two nearest values of input value from the cos & sin tables */
-  f1 = sinTable_q31[indexS+0];
-  f2 = sinTable_q31[indexS+1];
-  d1 = sinTable_q31[indexC+0];
-  d2 = sinTable_q31[indexC+1];
-
-  Df = f2 - f1; // delta between the values of the functions
-  temp = Dn*((q63_t)d1 + d2);
-  temp = temp - ((q63_t)Df << 32);
-  temp = (q63_t)fract*(temp >> 31);
-  temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
-  temp = (q63_t)fract*(temp >> 31);
-  temp = temp + (q63_t)d1*Dn;
-  temp = (q63_t)fract*(temp >> 31);
-  
-  /* Calculation of sine value */
-  *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
-}
-
-/**    
- * @} end of SinCos group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c
deleted file mode 100644
index a6d977bf..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c
+++ /dev/null
@@ -1,138 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cos_f32.c    
-*    
-* Description:	Fast cosine calculation for floating-point values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-/**    
- * @ingroup groupFastMath    
- */
-
-/**    
- * @defgroup cos Cosine    
- *    
- * Computes the trigonometric cosine function using a combination of table lookup   
- * and cubic interpolation.  There are separate functions for   
- * Q15, Q31, and floating-point data types.   
- * The input to the floating-point version is in radians while the   
- * fixed-point Q15 and Q31 have a scaled input with the range   
- * [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
- * value of 2*pi wraps around to 0.
- *   
- * The implementation is based on table lookup using 256 values together with cubic interpolation.   
- * The steps used are:   
- *  -# Calculation of the nearest integer table index   
- *  -# Fetch the four table values a, b, c, and d     
- *  -# Compute the fractional portion (fract) of the table index.   
- *  -# Calculation of wa, wb, wc, wd    
- *  -# The final result equals a*wa + b*wb + c*wc + d*wd   
- *   
- * where   
- * 
    
- *    a=Table[index-1];    
- *    b=Table[index+0];    
- *    c=Table[index+1];    
- *    d=Table[index+2];    
- * 
   
- * and   
- * 
    
- *    wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract;    
- *    wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1;    
- *    wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract;    
- *    wd=(1/6)*fract.^3 - (1/6)*fract;    
- * 
    
- */
-
- /**    
- * @addtogroup cos    
- * @{    
- */
-
-/**   
- * @brief  Fast approximation to the trigonometric cosine function for floating-point data.   
- * @param[in] x input value in radians.   
- * @return cos(x).   
- */
-
-float32_t arm_cos_f32(
-  float32_t x)
-{
-  float32_t cosVal, fract, in;                   /* Temporary variables for input, output */
-  uint16_t index;                                /* Index variable */
-  float32_t a, b;                                /* Two nearest output values */
-  int32_t n;
-  float32_t findex;
-
-  /* input x is in radians */
-  /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi, add 0.25 (pi/2) to read sine table */
-  in = x * 0.159154943092f + 0.25f;
-
-  /* Calculation of floor value of input */
-  n = (int32_t) in;
-
-  /* Make negative values towards -infinity */
-  if(in < 0.0f)
-  {
-    n--;
-  }
-
-  /* Map input value to [0 1] */
-  in = in - (float32_t) n;
-
-  /* Calculation of index of the table */
-  findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
-  index = ((uint16_t)findex) & 0x1ff;
-
-  /* fractional value calculation */
-  fract = findex - (float32_t) index;
-
-  /* Read two nearest values of input value from the cos table */
-  a = sinTable_f32[index];
-  b = sinTable_f32[index+1];
-
-  /* Linear interpolation process */
-  cosVal = (1.0f-fract)*a + fract*b;
-
-  /* Return the output value */
-  return (cosVal);
-}
-
-/**    
- * @} end of cos group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c
deleted file mode 100644
index d46a70a7..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c
+++ /dev/null
@@ -1,96 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cos_q15.c    
-*    
-* Description:	Fast cosine calculation for Q15 values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
- /**    
- * @addtogroup cos    
- * @{    
- */
-
-/**   
- * @brief Fast approximation to the trigonometric cosine function for Q15 data.   
- * @param[in] x Scaled input value in radians.   
- * @return  cos(x).   
- *   
- * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian
- * value in the range [0 2*pi).
- */
-
-q15_t arm_cos_q15(
-  q15_t x)
-{
-  q15_t sinVal;                                  /* Temporary variables for input, output */
-  int32_t index;                                 /* Index variables */
-  q15_t a, b;                                    /* Four nearest output values */
-  q15_t fract;                                   /* Temporary values for fractional values */
-
-  /* add 0.25 (pi/2) to read sine table */
-  x += 0x2000;
-  if(x < 0)
-  {   /* convert negative numbers to corresponding positive ones */
-      x = x + 0x8000;
-  }
-
-  /* Calculate the nearest index */
-  index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
-
-  /* Calculation of fractional value */
-  fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
-
-  /* Read two nearest values of input value from the sin table */
-  a = sinTable_q15[index];
-  b = sinTable_q15[index+1];
-
-  /* Linear interpolation process */
-  sinVal = (q31_t)(0x8000-fract)*a >> 16;
-  sinVal = (q15_t)((((q31_t)sinVal << 16) + ((q31_t)fract*b)) >> 16);
-
-  return sinVal << 1;
-}
-
-/**    
- * @} end of cos group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c
deleted file mode 100644
index 6c1f280f..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c
+++ /dev/null
@@ -1,96 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cos_q31.c    
-*    
-* Description:	Fast cosine calculation for Q31 values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
- /**    
- * @addtogroup cos    
- * @{    
- */
-
-/**   
- * @brief Fast approximation to the trigonometric cosine function for Q31 data.   
- * @param[in] x Scaled input value in radians.   
- * @return  cos(x).   
- *   
- * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian
- * value in the range [0 2*pi).
- */
-
-q31_t arm_cos_q31(
-  q31_t x)
-{
-  q31_t cosVal;                                  /* Temporary variables for input, output */
-  int32_t index;                                 /* Index variables */
-  q31_t a, b;                                    /* Four nearest output values */
-  q31_t fract;                                   /* Temporary values for fractional values */
-
-  /* add 0.25 (pi/2) to read sine table */
-  x += 0x20000000;
-  if(x < 0)
-  {   /* convert negative numbers to corresponding positive ones */
-      x = x + 0x80000000;
-  }
-  
-  /* Calculate the nearest index */
-  index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;
-
-  /* Calculation of fractional value */
-  fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;
-
-  /* Read two nearest values of input value from the sin table */
-  a = sinTable_q31[index];
-  b = sinTable_q31[index+1];
-
-  /* Linear interpolation process */
-  cosVal = (q63_t)(0x80000000-fract)*a >> 32;
-  cosVal = (q31_t)((((q63_t)cosVal << 32) + ((q63_t)fract*b)) >> 32);
-
-  return cosVal << 1;
-}
-
-/**    
- * @} end of cos group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c
deleted file mode 100644
index c6a609a4..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c
+++ /dev/null
@@ -1,139 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_f32.c    
-*    
-* Description:	Fast sine calculation for floating-point values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
-/**    
- * @defgroup sin Sine    
- *    
- * Computes the trigonometric sine function using a combination of table lookup   
- * and cubic interpolation.  There are separate functions for   
- * Q15, Q31, and floating-point data types.   
- * The input to the floating-point version is in radians while the   
- * fixed-point Q15 and Q31 have a scaled input with the range   
- * [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
- * value of 2*pi wraps around to 0.
- *   
- * The implementation is based on table lookup using 256 values together with cubic interpolation.   
- * The steps used are:   
- *  -# Calculation of the nearest integer table index   
- *  -# Fetch the four table values a, b, c, and d     
- *  -# Compute the fractional portion (fract) of the table index.   
- *  -# Calculation of wa, wb, wc, wd    
- *  -# The final result equals a*wa + b*wb + c*wc + d*wd   
- *   
- * where   
- * 
    
- *    a=Table[index-1];    
- *    b=Table[index+0];    
- *    c=Table[index+1];    
- *    d=Table[index+2];    
- * 
   
- * and   
- * 
    
- *    wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract;    
- *    wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1;    
- *    wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract;    
- *    wd=(1/6)*fract.^3 - (1/6)*fract;    
- * 
    
- */
-
-/**    
- * @addtogroup sin    
- * @{    
- */
-
-/**   
- * @brief  Fast approximation to the trigonometric sine function for floating-point data.   
- * @param[in] x input value in radians.   
- * @return  sin(x).   
- */
-
-float32_t arm_sin_f32(
-  float32_t x)
-{
-  float32_t sinVal, fract, in;                           /* Temporary variables for input, output */
-  uint16_t index;                                        /* Index variable */
-  float32_t a, b;                                        /* Two nearest output values */
-  int32_t n;
-  float32_t findex;
-
-  /* input x is in radians */
-  /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */
-  in = x * 0.159154943092f;
-
-  /* Calculation of floor value of input */
-  n = (int32_t) in;
-
-  /* Make negative values towards -infinity */
-  if(x < 0.0f)
-  {
-    n--;
-  }
-
-  /* Map input value to [0 1] */
-  in = in - (float32_t) n;
-
-  /* Calculation of index of the table */
-  findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
-  index = ((uint16_t)findex) & 0x1ff;
-
-  /* fractional value calculation */
-  fract = findex - (float32_t) index;
-
-  /* Read two nearest values of input value from the sin table */
-  a = sinTable_f32[index];
-  b = sinTable_f32[index+1];
-
-  /* Linear interpolation process */
-  sinVal = (1.0f-fract)*a + fract*b;
-
-  /* Return the output value */
-  return (sinVal);
-}
-
-/**    
- * @} end of sin group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c
deleted file mode 100644
index e2209b39..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c
+++ /dev/null
@@ -1,88 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_q15.c    
-*    
-* Description:	Fast sine calculation for Q15 values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
- /**    
- * @addtogroup sin    
- * @{    
- */
-
-/**   
- * @brief Fast approximation to the trigonometric sine function for Q15 data.   
- * @param[in] x Scaled input value in radians.   
- * @return  sin(x).   
- *   
- * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi).
- */
-
-q15_t arm_sin_q15(
-  q15_t x)
-{
-  q15_t sinVal;                                  /* Temporary variables for input, output */
-  int32_t index;                                 /* Index variables */
-  q15_t a, b;                                    /* Four nearest output values */
-  q15_t fract;                                   /* Temporary values for fractional values */
-
-  /* Calculate the nearest index */
-  index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
-
-  /* Calculation of fractional value */
-  fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
-
-  /* Read two nearest values of input value from the sin table */
-  a = sinTable_q15[index];
-  b = sinTable_q15[index+1];
-
-  /* Linear interpolation process */
-  sinVal = (q31_t)(0x8000-fract)*a >> 16;
-  sinVal = (q15_t)((((q31_t)sinVal << 16) + ((q31_t)fract*b)) >> 16);
-
-  return sinVal << 1;
-}
-
-/**    
- * @} end of sin group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c
deleted file mode 100644
index 606ab66d..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c
+++ /dev/null
@@ -1,87 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_q31.c    
-*    
-* Description:	Fast sine calculation for Q31 values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
- /**    
- * @addtogroup sin    
- * @{    
- */
-
-/**   
- * @brief Fast approximation to the trigonometric sine function for Q31 data.
- * @param[in] x Scaled input value in radians.
- * @return  sin(x).
- *
- * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). */
-
-q31_t arm_sin_q31(
-  q31_t x)
-{
-  q31_t sinVal;                                  /* Temporary variables for input, output */
-  int32_t index;                                 /* Index variables */
-  q31_t a, b;                                    /* Four nearest output values */
-  q31_t fract;                                   /* Temporary values for fractional values */
-
-  /* Calculate the nearest index */
-  index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;
-
-  /* Calculation of fractional value */
-  fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;
-
-  /* Read two nearest values of input value from the sin table */
-  a = sinTable_q31[index];
-  b = sinTable_q31[index+1];
-
-  /* Linear interpolation process */
-  sinVal = (q63_t)(0x80000000-fract)*a >> 32;
-  sinVal = (q31_t)((((q63_t)sinVal << 32) + ((q63_t)fract*b)) >> 32);
-
-  return sinVal << 1;
-}
-
-/**    
- * @} end of sin group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c
deleted file mode 100644
index 28180125..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c
+++ /dev/null
@@ -1,155 +0,0 @@
-/* ----------------------------------------------------------------------     
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.  
-*     
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*     
-* Project:      CMSIS DSP Library  
-* Title:		arm_sqrt_q15.c     
-*     
-* Description:	Q15 square root function.    
-*     
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-
-/**     
- * @ingroup groupFastMath     
- */
-
-/**     
- * @addtogroup SQRT     
- * @{     
- */
-
-  /**    
-   * @brief  Q15 square root function.    
-   * @param[in]   in     input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF.    
-   * @param[out]  *pOut  square root of input value.    
-   * @return The function returns ARM_MATH_SUCCESS if the input value is positive
-   * and ARM_MATH_ARGUMENT_ERROR if the input is negative.  For
-   * negative inputs, the function returns *pOut = 0.
-   */
-
-arm_status arm_sqrt_q15(
-  q15_t in,
-  q15_t * pOut)
-{
-  q15_t number, temp1, var1, signBits1, half;
-  q31_t bits_val1;
-  float32_t temp_float1;
-  union
-  {
-    q31_t fracval;
-    float32_t floatval;
-  } tempconv;
-
-  number = in;
-
-  /* If the input is a positive number then compute the signBits. */
-  if(number > 0)
-  {
-    signBits1 = __CLZ(number) - 17;
-
-    /* Shift by the number of signBits1 */
-    if((signBits1 % 2) == 0)
-    {
-      number = number << signBits1;
-    }
-    else
-    {
-      number = number << (signBits1 - 1);
-    }
-
-    /* Calculate half value of the number */
-    half = number >> 1;
-    /* Store the number for later use */
-    temp1 = number;
-
-    /*Convert to float */
-    temp_float1 = number * 3.051757812500000e-005f;
-    /*Store as integer */
-    tempconv.floatval = temp_float1;
-    bits_val1 = tempconv.fracval;
-    /* Subtract the shifted value from the magic number to give intial guess */
-    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  // gives initial guess  
-    /* Store as float */
-    tempconv.fracval = bits_val1;
-    temp_float1 = tempconv.floatval;
-    /* Convert to integer format */
-    var1 = (q31_t) (temp_float1 * 16384);
-
-    /* 1st iteration */
-    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
-                                     ((q15_t)
-                                      ((((q15_t)
-                                         (((q31_t) var1 * var1) >> 15)) *
-                                        (q31_t) half) >> 15))) >> 15)) << 2;
-    /* 2nd iteration */
-    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
-                                     ((q15_t)
-                                      ((((q15_t)
-                                         (((q31_t) var1 * var1) >> 15)) *
-                                        (q31_t) half) >> 15))) >> 15)) << 2;
-    /* 3rd iteration */
-    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
-                                     ((q15_t)
-                                      ((((q15_t)
-                                         (((q31_t) var1 * var1) >> 15)) *
-                                        (q31_t) half) >> 15))) >> 15)) << 2;
-
-    /* Multiply the inverse square root with the original value */
-    var1 = ((q15_t) (((q31_t) temp1 * var1) >> 15)) << 1;
-
-    /* Shift the output down accordingly */
-    if((signBits1 % 2) == 0)
-    {
-      var1 = var1 >> (signBits1 / 2);
-    }
-    else
-    {
-      var1 = var1 >> ((signBits1 - 1) / 2);
-    }
-    *pOut = var1;
-
-    return (ARM_MATH_SUCCESS);
-  }
-  /* If the number is a negative number then store zero as its square root value */
-  else
-  {
-    *pOut = 0;
-    return (ARM_MATH_ARGUMENT_ERROR);
-  }
-}
-
-/**     
- * @} end of SQRT group     
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c
deleted file mode 100644
index 34b77549..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c
+++ /dev/null
@@ -1,153 +0,0 @@
-/* ----------------------------------------------------------------------     
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.  
-*     
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*     
-* Project:      CMSIS DSP Library  
-* Title:		arm_sqrt_q31.c     
-*     
-* Description:	Q31 square root function.    
-*     
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**     
- * @ingroup groupFastMath     
- */
-
-/**     
- * @addtogroup SQRT     
- * @{     
- */
-
-/**    
- * @brief Q31 square root function.    
- * @param[in]   in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.    
- * @param[out]  *pOut square root of input value.    
- * @return The function returns ARM_MATH_SUCCESS if the input value is positive
- * and ARM_MATH_ARGUMENT_ERROR if the input is negative.  For
- * negative inputs, the function returns *pOut = 0.
- */
-
-arm_status arm_sqrt_q31(
-  q31_t in,
-  q31_t * pOut)
-{
-  q31_t number, temp1, bits_val1, var1, signBits1, half;
-  float32_t temp_float1;
-  union
-  {
-      q31_t fracval;
-      float32_t floatval;
-  } tempconv;
-
-  number = in;
-
-  /* If the input is a positive number then compute the signBits. */
-  if(number > 0)
-  {
-    signBits1 = __CLZ(number) - 1;
-
-    /* Shift by the number of signBits1 */
-    if((signBits1 % 2) == 0)
-    {
-      number = number << signBits1;
-    }
-    else
-    {
-      number = number << (signBits1 - 1);
-    }
-
-    /* Calculate half value of the number */
-    half = number >> 1;
-    /* Store the number for later use */
-    temp1 = number;
-
-    /*Convert to float */
-    temp_float1 = number * 4.6566128731e-010f;
-    /*Store as integer */
-    tempconv.floatval = temp_float1;
-    bits_val1 = tempconv.fracval;
-    /* Subtract the shifted value from the magic number to give intial guess */
-    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  // gives initial guess  
-    /* Store as float */
-    tempconv.fracval = bits_val1;
-    temp_float1 = tempconv.floatval;
-    /* Convert to integer format */
-    var1 = (q31_t) (temp_float1 * 1073741824);
-
-    /* 1st iteration */
-    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
-                                     ((q31_t)
-                                      ((((q31_t)
-                                         (((q63_t) var1 * var1) >> 31)) *
-                                        (q63_t) half) >> 31))) >> 31)) << 2;
-    /* 2nd iteration */
-    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
-                                     ((q31_t)
-                                      ((((q31_t)
-                                         (((q63_t) var1 * var1) >> 31)) *
-                                        (q63_t) half) >> 31))) >> 31)) << 2;
-    /* 3rd iteration */
-    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
-                                     ((q31_t)
-                                      ((((q31_t)
-                                         (((q63_t) var1 * var1) >> 31)) *
-                                        (q63_t) half) >> 31))) >> 31)) << 2;
-
-    /* Multiply the inverse square root with the original value */
-    var1 = ((q31_t) (((q63_t) temp1 * var1) >> 31)) << 1;
-
-    /* Shift the output down accordingly */
-    if((signBits1 % 2) == 0)
-    {
-      var1 = var1 >> (signBits1 / 2);
-    }
-    else
-    {
-      var1 = var1 >> ((signBits1 - 1) / 2);
-    }
-    *pOut = var1;
-
-    return (ARM_MATH_SUCCESS);
-  }
-  /* If the number is a negative number then store zero as its square root value */
-  else
-  {
-    *pOut = 0;
-    return (ARM_MATH_ARGUMENT_ERROR);
-  }
-}
-
-/**     
- * @} end of SQRT group     
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c
deleted file mode 100644
index 9f4ab2ff..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c
+++ /dev/null
@@ -1,110 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_32x64_init_q31.c    
-*    
-* Description:	High precision Q31 Biquad cascade filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1_32x64    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in,out] *S           	points to an instance of the high precision Q31 Biquad cascade filter structure.    
- * @param[in]     numStages     number of 2nd order stages in the filter.    
- * @param[in]     *pCoeffs      points to the filter coefficients.    
- * @param[in]     *pState       points to the state buffer.    
- * @param[in]     postShift     Shift to be applied after the accumulator.  Varies according to the coefficients format.    
- * @return        none    
- *    
- * Coefficient and State Ordering:    
- *    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
- * 
    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 5*numStages values.    
- *    
- * \par    
- * The pState points to state variables array and size of each state variable is 1.63 format.    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].    
- * The state variables are arranged in the state array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- */
-
-void arm_biquad_cas_df1_32x64_init_q31(
-  arm_biquad_cas_df1_32x64_ins_q31 * S,
-  uint8_t numStages,
-  q31_t * pCoeffs,
-  q63_t * pState,
-  uint8_t postShift)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign postShift to be applied to the output */
-  S->postShift = postShift;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 4 * numStages */
-  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q63_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF1_32x64 group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
deleted file mode 100644
index 886d422c..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
+++ /dev/null
@@ -1,561 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_32x64_q31.c    
-*    
-* Description:	High precision Q31 Biquad cascade filter processing function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup BiquadCascadeDF1_32x64 High Precision Q31 Biquad Cascade Filter    
- *    
- * This function implements a high precision Biquad cascade filter which operates on    
- * Q31 data values.  The filter coefficients are in 1.31 format and the state variables    
- * are in 1.63 format.  The double precision state variables reduce quantization noise    
- * in the filter and provide a cleaner output.    
- * These filters are particularly useful when implementing filters in which the    
- * singularities are close to the unit circle.  This is common for low pass or high    
- * pass filters with very low cutoff frequencies.    
- *    
- * The function operates on blocks of input and output data    
- * and each call to the function processes blockSize samples through    
- * the filter. pSrc and pDst points to input and output arrays    
- * containing blockSize Q31 values.    
- *    
- * \par Algorithm    
- * Each Biquad stage implements a second order filter using the difference equation:    
- * 
    
- *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
- * 
    
- * A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage.    
- * \image html Biquad.gif "Single Biquad filter stage"    
- * Coefficients b0, b1, and b2  multiply the input signal x[n] and are referred to as the feedforward coefficients.    
- * Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.    
- * Pay careful attention to the sign of the feedback coefficients.    
- * Some design tools use the difference equation    
- * 
    
- *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]    
- * 
    
- * In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library.    
- *    
- * \par    
- * Higher order filters are realized as a cascade of second order sections.    
- * numStages refers to the number of second order stages used.    
- * For example, an 8th order filter would be realized with numStages=4 second order stages.    
- * \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"    
- * A 9th order filter would be realized with numStages=5 second order stages with the coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).    
- *    
- * \par    
- * The pState points to state variables array .    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2] and each state variable in 1.63 format to improve precision.    
- * The state variables are arranged in the array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- *    
- * \par    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values of data in 1.63 format.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- *    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
- *    
- * \par Init Function    
- * There is also an associated initialization function which performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * To do this manually without calling the init function, assign the follow subfields of the instance structure:
- * numStages, pCoeffs, postShift, pState. Also set all of the values in pState to zero. 
- *
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros before static initialization.    
- * For example, to statically initialize the filter instance structure use    
- * 
    
- *     arm_biquad_cas_df1_32x64_ins_q31 S1 = {numStages, pState, pCoeffs, postShift};    
- * 
    
- * where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer;    
- * pCoeffs is the address of the coefficient buffer; postShift shift to be applied which is described in detail below.    
- * \par Fixed-Point Behavior    
- * Care must be taken while using Biquad Cascade 32x64 filter function.    
- * Following issues must be considered:    
- * - Scaling of coefficients    
- * - Filter gain    
- * - Overflow and saturation    
- *    
- * \par    
- * Filter coefficients are represented as fractional values and    
- * restricted to lie in the range [-1 +1).    
- * The processing function has an additional scaling parameter postShift    
- * which allows the filter coefficients to exceed the range [+1 -1).    
- * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.    
- * \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"    
- * This essentially scales the filter coefficients by 2^postShift.    
- * For example, to realize the coefficients    
- * 
    
- *    {1.5, -0.8, 1.2, 1.6, -0.9}    
- * 
    
- * set the Coefficient array to:    
- * 
    
- *    {0.75, -0.4, 0.6, 0.8, -0.45}    
- * 
    
- * and set postShift=1    
- *    
- * \par    
- * The second thing to keep in mind is the gain through the filter.    
- * The frequency response of a Biquad filter is a function of its coefficients.    
- * It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies.    
- * This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter.    
- * To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.    
- *    
- * \par    
- * The third item to consider is the overflow and saturation behavior of the fixed-point Q31 version.    
- * This is described in the function specific documentation below.    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1_32x64    
- * @{    
- */
-
-/**    
- * @details    
-    
- * @param[in]  *S points to an instance of the high precision Q31 Biquad cascade filter.    
- * @param[in]  *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in]  blockSize number of samples to process.    
- * @return none.    
- *    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).    
- * After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to    
- * 1.31 format by discarding the low 32 bits.    
- *    
- * \par    
- * Two related functions are provided in the CMSIS DSP library.    
- * arm_biquad_cascade_df1_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator.    
- * arm_biquad_cascade_df1_fast_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q31 accumulator.    
- */
-
-void arm_biquad_cas_df1_32x64_q31(
-  const arm_biquad_cas_df1_32x64_ins_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pIn = pSrc;                             /*  input pointer initialization  */
-  q31_t *pOut = pDst;                            /*  output pointer initialization */
-  q63_t *pState = S->pState;                     /*  state pointer initialization  */
-  q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
-  q63_t acc;                                     /*  accumulator                   */
-  q31_t Xn1, Xn2;                                /*  Input Filter state variables        */
-  q63_t Yn1, Yn2;                                /*  Output Filter state variables        */
-  q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
-  q31_t Xn;                                      /*  temporary input               */
-  int32_t shift = (int32_t) S->postShift + 1;    /*  Shift to be applied to the output */
-  uint32_t sample, stage = S->numStages;         /*  loop counters                     */
-  q31_t acc_l, acc_h;                            /*  temporary output               */
-  uint32_t uShift = ((uint32_t) S->postShift + 1u);
-  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = (q31_t) (pState[0]);
-    Xn2 = (q31_t) (pState[1]);
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /* Apply loop unrolling and compute 4 output values simultaneously. */
-    /* The variable acc hold output value that is being computed and    
-     * stored in the destination buffer    
-     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
-     */
-
-    sample = blockSize >> 2u;
-
-    /* First part of the processing with loop unrolling. Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) Xn *b0;
-
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) Xn1 *b1;
-
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn2 *b2;
-
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn1, a1);
-
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn2, a2);
-
-      /* The result is converted to 1.63 , Yn2 variable is reused */
-      Yn2 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      *pOut = acc_h;
-
-      /* Read the second input into Xn2, to reuse the value */
-      Xn2 = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc +=  b1 * x[n-1] */
-      acc = (q63_t) Xn *b1;
-
-      /* acc =  b0 * x[n] */
-      acc += (q63_t) Xn2 *b0;
-
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn1 *b2;
-
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn2, a1);
-
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn1, a2);
-
-      /* The result is converted to 1.63, Yn1 variable is reused */
-      Yn1 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Read the third input into Xn1, to reuse the value */
-      Xn1 = *pIn++;
-
-      /* The result is converted to 1.31 */
-      /* Store the output in the destination buffer. */
-      *(pOut + 1u) = acc_h;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) Xn1 *b0;
-
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) Xn2 *b1;
-
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn *b2;
-
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn1, a1);
-
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn2, a2);
-
-      /* The result is converted to 1.63, Yn2 variable is reused  */
-      Yn2 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      *(pOut + 2u) = acc_h;
-
-      /* Read the fourth input into Xn, to reuse the value */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) Xn *b0;
-
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) Xn1 *b1;
-
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn2 *b2;
-
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn2, a1);
-
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn1, a2);
-
-      /* The result is converted to 1.63, Yn1 variable is reused  */
-      Yn1 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      *(pOut + 3u) = acc_h;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-
-      /* update output pointer */
-      pOut += 4u;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    sample = (blockSize & 0x3u);
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) Xn *b0;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) Xn1 *b1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn2 *b2;
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn1, a1);
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn2, a2);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      /* The result is converted to 1.63, Yn1 variable is reused  */
-      Yn1 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      *pOut++ = acc_h;
-      //Yn1 = acc << shift; 
-
-      /* Store the output in the destination buffer in 1.31 format. */
-//      *pOut++ = (q31_t) (acc >> (32 - shift)); 
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage output is given as input to the second stage. */
-    pIn = pDst;
-
-    /* Reset to destination buffer working pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = (q63_t) Xn1;
-    *pState++ = (q63_t) Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /* The variable acc hold output value that is being computed and        
-     * stored in the destination buffer            
-     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]            
-     */
-
-    sample = blockSize;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) Xn *b0;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) Xn1 *b1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn2 *b2;
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn1, a1);
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn2, a2);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-
-      /* The result is converted to 1.63, Yn1 variable is reused  */
-      Yn1 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      *pOut++ = acc_h;
-
-      //Yn1 = acc << shift; 
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      //*pOut++ = (q31_t) (acc >> (32 - shift)); 
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage output is given as input to the second stage. */
-    pIn = pDst;
-
-    /* Reset to destination buffer working pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = (q63_t) Xn1;
-    *pState++ = (q63_t) Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-
-#endif /*    #ifndef ARM_MATH_CM0_FAMILY     */
-}
-
-  /**    
-   * @} end of BiquadCascadeDF1_32x64 group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
deleted file mode 100644
index 83e9f767..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
+++ /dev/null
@@ -1,425 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_f32.c    
-*    
-* Description:	Processing function for the    
-*               floating-point Biquad cascade DirectFormI(DF1) filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup BiquadCascadeDF1 Biquad Cascade IIR Filters Using Direct Form I Structure    
- *    
- * This set of functions implements arbitrary order recursive (IIR) filters.    
- * The filters are implemented as a cascade of second order Biquad sections.    
- * The functions support Q15, Q31 and floating-point data types.  
- * Fast version of Q15 and Q31 also supported on CortexM4 and Cortex-M3.    
- *    
- * The functions operate on blocks of input and output data and each call to the function    
- * processes blockSize samples through the filter.    
- * pSrc points to the array of input data and    
- * pDst points to the array of output data.    
- * Both arrays contain blockSize values.    
- *    
- * \par Algorithm    
- * Each Biquad stage implements a second order filter using the difference equation:    
- * 
    
- *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
- * 
    
- * A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage.    
- * \image html Biquad.gif "Single Biquad filter stage"    
- * Coefficients b0, b1 and b2  multiply the input signal x[n] and are referred to as the feedforward coefficients.    
- * Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.    
- * Pay careful attention to the sign of the feedback coefficients.    
- * Some design tools use the difference equation    
- * 
    
- *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]    
- * 
    
- * In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library.    
- *    
- * \par    
- * Higher order filters are realized as a cascade of second order sections.    
- * numStages refers to the number of second order stages used.    
- * For example, an 8th order filter would be realized with numStages=4 second order stages.    
- * \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"    
- * A 9th order filter would be realized with numStages=5 second order stages with the coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).    
- *    
- * \par    
- * The pState points to state variables array.    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].    
- * The state variables are arranged in the pState array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- *    
- * \par    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values.    
- * The state variables are updated after each block of data is processed, the coefficients are untouched.    
- *    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Init Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * To do this manually without calling the init function, assign the follow subfields of the instance structure:
- * numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros before static initialization.    
- * The code below statically initializes each of the 3 different data type filter instance structures    
- * 
    
- *     arm_biquad_casd_df1_inst_f32 S1 = {numStages, pState, pCoeffs};    
- *     arm_biquad_casd_df1_inst_q15 S2 = {numStages, pState, pCoeffs, postShift};    
- *     arm_biquad_casd_df1_inst_q31 S3 = {numStages, pState, pCoeffs, postShift};    
- * 
    
- * where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer;    
- * pCoeffs is the address of the coefficient buffer; postShift shift to be applied.    
- *    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the Q15 and Q31 versions of the Biquad Cascade filter functions.    
- * Following issues must be considered:    
- * - Scaling of coefficients    
- * - Filter gain    
- * - Overflow and saturation    
- *    
- * \par    
- * Scaling of coefficients:     
- * Filter coefficients are represented as fractional values and    
- * coefficients are restricted to lie in the range [-1 +1).    
- * The fixed-point functions have an additional scaling parameter postShift    
- * which allow the filter coefficients to exceed the range [+1 -1).    
- * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.    
- * \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"    
- * This essentially scales the filter coefficients by 2^postShift.    
- * For example, to realize the coefficients    
- * 
    
- *    {1.5, -0.8, 1.2, 1.6, -0.9}    
- * 
    
- * set the pCoeffs array to:    
- * 
    
- *    {0.75, -0.4, 0.6, 0.8, -0.45}    
- * 
    
- * and set postShift=1    
- *    
- * \par    
- * Filter gain:     
- * The frequency response of a Biquad filter is a function of its coefficients.    
- * It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies.    
- * This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter.    
- * To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.    
- *    
- * \par    
- * Overflow and saturation:     
- * For Q15 and Q31 versions, it is described separately as part of the function specific documentation below.    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @param[in]  *S         points to an instance of the floating-point Biquad cascade structure.    
- * @param[in]  *pSrc      points to the block of input data.    
- * @param[out] *pDst      points to the block of output data.    
- * @param[in]  blockSize  number of samples to process per call.    
- * @return     none.    
- *    
- */
-
-void arm_biquad_cascade_df1_f32(
-  const arm_biquad_casd_df1_inst_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pIn = pSrc;                         /*  source pointer            */
-  float32_t *pOut = pDst;                        /*  destination pointer       */
-  float32_t *pState = S->pState;                 /*  pState pointer            */
-  float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
-  float32_t acc;                                 /*  Simulates the accumulator */
-  float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
-  float32_t Xn1, Xn2, Yn1, Yn2;                  /*  Filter pState variables   */
-  float32_t Xn;                                  /*  temporary input           */
-  uint32_t sample, stage = S->numStages;         /*  loop counters             */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the pState values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /* Apply loop unrolling and compute 4 output values simultaneously. */
-    /*      The variable acc hold output values that are being computed:    
-     *    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
-     */
-
-    sample = blockSize >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(sample > 0u)
-    {
-      /* Read the first input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      Yn2 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = Yn2;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-
-      /* Read the second input */
-      Xn2 = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      Yn1 = (b0 * Xn2) + (b1 * Xn) + (b2 * Xn1) + (a1 * Yn2) + (a2 * Yn1);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = Yn1;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-
-      /* Read the third input */
-      Xn1 = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      Yn2 = (b0 * Xn1) + (b1 * Xn2) + (b2 * Xn) + (a1 * Yn1) + (a2 * Yn2);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = Yn2;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as: */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-
-      /* Read the forth input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      Yn1 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn2) + (a2 * Yn1);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = Yn1;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-
-      /* decrement the loop counter */
-      sample--;
-
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    sample = blockSize & 0x3u;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:    */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = acc;
-
-      /* decrement the loop counter */
-      sample--;
-
-    }
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent numStages  occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset the output pointer */
-    pOut = pDst;
-
-    /* decrement the loop counter */
-    stage--;
-
-  } while(stage > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the pState values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /*      The variables acc holds the output value that is computed:        
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]        
-     */
-
-    sample = blockSize;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:    */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = acc;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent numStages  occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset the output pointer */
-    pOut = pDst;
-
-    /* decrement the loop counter */
-    stage--;
-
-  } while(stage > 0u);
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY         */
-
-}
-
-
-  /**    
-   * @} end of BiquadCascadeDF1 group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
deleted file mode 100644
index a637b037..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
+++ /dev/null
@@ -1,286 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_fast_q15.c    
-*    
-* Description:	Fast processing function for the    
-*				Q15 Biquad cascade filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @details    
- * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.    
- * @param[in]  *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in]  blockSize number of samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * This fast version uses a 32-bit accumulator with 2.30 format.    
- * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around and distorts the result.    
- * In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25).    
- * The 2.30 accumulator is then shifted by postShift bits and the result truncated to 1.15 format by discarding the low 16 bits.    
- *    
- * \par    
- * Refer to the function arm_biquad_cascade_df1_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.  Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_biquad_cascade_df1_init_q15() to initialize the filter structure.    
- *    
- */
-
-void arm_biquad_cascade_df1_fast_q15(
-  const arm_biquad_casd_df1_inst_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pIn = pSrc;                             /*  Source pointer                               */
-  q15_t *pOut = pDst;                            /*  Destination pointer                          */
-  q31_t in;                                      /*  Temporary variable to hold input value       */
-  q31_t out;                                     /*  Temporary variable to hold output value      */
-  q31_t b0;                                      /*  Temporary variable to hold bo value          */
-  q31_t b1, a1;                                  /*  Filter coefficients                          */
-  q31_t state_in, state_out;                     /*  Filter state variables                       */
-  q31_t acc;                                     /*  Accumulator                                  */
-  int32_t shift = (int32_t) (15 - S->postShift); /*  Post shift                                   */
-  q15_t *pState = S->pState;                     /*  State pointer                                */
-  q15_t *pCoeffs = S->pCoeffs;                   /*  Coefficient pointer                          */
-  uint32_t sample, stage = S->numStages;         /*  Stage loop counter                           */
-
-
-
-  do
-  {
-
-    /* Read the b0 and 0 coefficients using SIMD  */
-    b0 = *__SIMD32(pCoeffs)++;
-
-    /* Read the b1 and b2 coefficients using SIMD */
-    b1 = *__SIMD32(pCoeffs)++;
-
-    /* Read the a1 and a2 coefficients using SIMD */
-    a1 = *__SIMD32(pCoeffs)++;
-
-    /* Read the input state values from the state buffer:  x[n-1], x[n-2] */
-    state_in = *__SIMD32(pState)++;
-
-    /* Read the output state values from the state buffer:  y[n-1], y[n-2] */
-    state_out = *__SIMD32(pState)--;
-
-    /* Apply loop unrolling and compute 2 output values simultaneously. */
-    /*      The variable acc hold output values that are being computed:       
-     *    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]       
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]       
-     */
-    sample = blockSize >> 1u;
-
-    /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.    
-     ** a second loop below computes the remaining 1 sample. */
-    while(sample > 0u)
-    {
-
-      /* Read the input */
-      in = *__SIMD32(pIn)++;
-
-      /* out =  b0 * x[n] + 0 * 0 */
-      out = __SMUAD(b0, in);
-      /* acc =  b1 * x[n-1] + acc +=  b2 * x[n-2] + out */
-      acc = __SMLAD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
-      acc = __SMLAD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
-      out = __SSAT((acc >> shift), 16);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, (in >> 16), 16);
-      state_out = __PKHBT(state_out >> 16, (out), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* out =  b0 * x[n] + 0 * 0 */
-      out = __SMUADX(b0, in);
-      /* acc0 =  b1 * x[n-1] , acc0 +=  b2 * x[n-2] + out */
-      acc = __SMLAD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
-      acc = __SMLAD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
-      out = __SSAT((acc >> shift), 16);
-
-
-      /* Store the output in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ = __PKHBT(state_out, out, 16);
-
-#else
-
-      *__SIMD32(pOut)++ = __PKHBT(out, state_out >> 16, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in >> 16, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, in, 16);
-      state_out = __PKHBT(state_out >> 16, out, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-
-      /* Decrement the loop counter */
-      sample--;
-
-    }
-
-    /* If the blockSize is not a multiple of 2, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-
-    if((blockSize & 0x1u) != 0u)
-    {
-      /* Read the input */
-      in = *pIn++;
-
-      /* out =  b0 * x[n] + 0 * 0 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      out = __SMUAD(b0, in);
-
-#else
-
-      out = __SMUADX(b0, in);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* acc =  b1 * x[n-1], acc +=  b2 * x[n-2] + out */
-      acc = __SMLAD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
-      acc = __SMLAD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
-      out = __SSAT((acc >> shift), 16);
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = (q15_t) out;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, in, 16);
-      state_out = __PKHBT(state_out >> 16, out, 16);
-
-#endif /*   #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-    }
-
-    /*  The first stage goes from the input buffer to the output buffer.  */
-    /*  Subsequent (numStages - 1) occur in-place in the output buffer  */
-    pIn = pDst;
-
-    /* Reset the output pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the state array */
-    *__SIMD32(pState)++ = state_in;
-    *__SIMD32(pState)++ = state_out;
-
-
-    /* Decrement the loop counter */
-    stage--;
-
-  } while(stage > 0u);
-}
-
-
-/**    
- * @} end of BiquadCascadeDF1 group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
deleted file mode 100644
index ff3cddf2..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
+++ /dev/null
@@ -1,305 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_fast_q31.c    
-*    
-* Description:	Processing function for the    
-*				Q31 Fast Biquad cascade DirectFormI(DF1) filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in]  *S        points to an instance of the Q31 Biquad cascade structure.    
- * @param[in]  *pSrc     points to the block of input data.    
- * @param[out] *pDst     points to the block of output data.    
- * @param[in]  blockSize number of samples to process per call.    
- * @return 	   none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
- * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
- * These intermediate results are added to a 2.30 accumulator.    
- * Finally, the accumulator is saturated and converted to a 1.31 result.    
- * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function    
- * arm_biquad_cascade_df1_init_q31() to initialize filter structure.    
- *    
- * \par    
- * Refer to the function arm_biquad_cascade_df1_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.  Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_biquad_cascade_df1_init_q31() to initialize the filter structure.    
- */
-
-void arm_biquad_cascade_df1_fast_q31(
-  const arm_biquad_casd_df1_inst_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t acc = 0;                                 /*  accumulator                   */
-  q31_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
-  q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
-  q31_t *pIn = pSrc;                             /*  input pointer initialization  */
-  q31_t *pOut = pDst;                            /*  output pointer initialization */
-  q31_t *pState = S->pState;                     /*  pState pointer initialization */
-  q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
-  q31_t Xn;                                      /*  temporary input               */
-  int32_t shift = (int32_t) S->postShift + 1;    /*  Shift to be applied to the output */
-  uint32_t sample, stage = S->numStages;         /*  loop counters                     */
-
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /* Apply loop unrolling and compute 4 output values simultaneously. */
-    /*      The variables acc ... acc3 hold output values that are being computed:       
-     *       
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]       
-     */
-
-    sample = blockSize >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      //acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);
-      mult_32x32_keep32_R(acc, b1, Xn1);
-      /* acc +=  b1 * x[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);   
-      multAcc_32x32_keep32_R(acc, b0, Xn);
-      /* acc +=  b[2] * x[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);
-      multAcc_32x32_keep32_R(acc, b2, Xn2);
-      /* acc +=  a1 * y[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);
-      multAcc_32x32_keep32_R(acc, a1, Yn1);
-      /* acc +=  a2 * y[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);
-      multAcc_32x32_keep32_R(acc, a2, Yn2);
-
-      /* The result is converted to 1.31 , Yn2 variable is reused */
-      Yn2 = acc << shift;
-
-      /* Read the second input */
-      Xn2 = *(pIn + 1u);
-
-      /* Store the output in the destination buffer. */
-      *pOut = Yn2;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      //acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);
-      mult_32x32_keep32_R(acc, b0, Xn2);
-      /* acc +=  b1 * x[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);
-      multAcc_32x32_keep32_R(acc, b1, Xn);
-      /* acc +=  b[2] * x[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);
-      multAcc_32x32_keep32_R(acc, b2, Xn1);
-      /* acc +=  a1 * y[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);
-      multAcc_32x32_keep32_R(acc, a1, Yn2);
-      /* acc +=  a2 * y[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);
-      multAcc_32x32_keep32_R(acc, a2, Yn1);
-
-      /* The result is converted to 1.31, Yn1 variable is reused  */
-      Yn1 = acc << shift;
-
-      /* Read the third input  */
-      Xn1 = *(pIn + 2u);
-
-      /* Store the output in the destination buffer. */
-      *(pOut + 1u) = Yn1;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      //acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);
-      mult_32x32_keep32_R(acc, b0, Xn1);
-      /* acc +=  b1 * x[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);
-      multAcc_32x32_keep32_R(acc, b1, Xn2);
-      /* acc +=  b[2] * x[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);
-      multAcc_32x32_keep32_R(acc, b2, Xn);
-      /* acc +=  a1 * y[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);
-      multAcc_32x32_keep32_R(acc, a1, Yn1);
-      /* acc +=  a2 * y[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);
-      multAcc_32x32_keep32_R(acc, a2, Yn2);
-
-      /* The result is converted to 1.31, Yn2 variable is reused  */
-      Yn2 = acc << shift;
-
-      /* Read the forth input */
-      Xn = *(pIn + 3u);
-
-      /* Store the output in the destination buffer. */
-      *(pOut + 2u) = Yn2;
-      pIn += 4u;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      //acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);
-      mult_32x32_keep32_R(acc, b0, Xn);
-      /* acc +=  b1 * x[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);
-      multAcc_32x32_keep32_R(acc, b1, Xn1);
-      /* acc +=  b[2] * x[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);
-      multAcc_32x32_keep32_R(acc, b2, Xn2);
-      /* acc +=  a1 * y[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);
-      multAcc_32x32_keep32_R(acc, a1, Yn2);
-      /* acc +=  a2 * y[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);
-      multAcc_32x32_keep32_R(acc, a2, Yn1);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      Xn2 = Xn1;
-
-      /* The result is converted to 1.31, Yn1 variable is reused  */
-      Yn1 = acc << shift;
-
-      /* Xn1 = Xn     */
-      Xn1 = Xn;
-
-      /* Store the output in the destination buffer. */
-      *(pOut + 3u) = Yn1;
-      pOut += 4u;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.       
-     ** No loop unrolling is used. */
-    sample = (blockSize & 0x3u);
-
-   while(sample > 0u)
-   {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      //acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);
-      mult_32x32_keep32_R(acc, b0, Xn);
-      /* acc +=  b1 * x[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);
-      multAcc_32x32_keep32_R(acc, b1, Xn1);
-      /* acc +=  b[2] * x[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);
-      multAcc_32x32_keep32_R(acc, b2, Xn2);
-      /* acc +=  a1 * y[n-1] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);
-      multAcc_32x32_keep32_R(acc, a1, Yn1);
-      /* acc +=  a2 * y[n-2] */
-      //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);
-      multAcc_32x32_keep32_R(acc, a2, Yn2);
-
-      /* The result is converted to 1.31  */
-      acc = acc << shift;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = acc;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = acc;
-
-      /* decrement the loop counter */
-      sample--;
-   }
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent stages occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset to destination pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-}
-
-/**    
-  * @} end of BiquadCascadeDF1 group    
-  */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
deleted file mode 100644
index fab57d6d..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
+++ /dev/null
@@ -1,109 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_biquad_cascade_df1_init_f32.c    
-*    
-* Description:  floating-point Biquad cascade DirectFormI(DF1) filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @details    
- * @brief  Initialization function for the floating-point Biquad cascade filter.    
- * @param[in,out] *S           points to an instance of the floating-point Biquad cascade structure.    
- * @param[in]     numStages    number of 2nd order stages in the filter.    
- * @param[in]     *pCoeffs     points to the filter coefficients array.    
- * @param[in]     *pState      points to the state array.    
- * @return        none    
- *    
- *    
- * Coefficient and State Ordering:    
- *    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
- * 
    
- *    
- * \par    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 5*numStages values.    
- *    
- * \par    
- * The pState is a pointer to state array.    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].    
- * The state variables are arranged in the pState array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- *    
- */
-
-void arm_biquad_cascade_df1_init_f32(
-  arm_biquad_casd_df1_inst_f32 * S,
-  uint8_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 4 * numStages */
-  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF1 group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
deleted file mode 100644
index 0dbb6d1c..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
+++ /dev/null
@@ -1,111 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_biquad_cascade_df1_init_q15.c    
-*    
-* Description:  Q15 Biquad cascade DirectFormI(DF1) filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in,out] *S           points to an instance of the Q15 Biquad cascade structure.    
- * @param[in]     numStages    number of 2nd order stages in the filter.    
- * @param[in]     *pCoeffs     points to the filter coefficients.    
- * @param[in]     *pState      points to the state buffer.    
- * @param[in]     postShift    Shift to be applied to the accumulator result. Varies according to the coefficients format    
- * @return        none    
- *    
- * Coefficient and State Ordering:    
- *    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...}    
- * 
    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 6*numStages values.    
- * The zero coefficient between b1 and b2 facilities  use of 16-bit SIMD instructions on the Cortex-M4.    
- *    
- * \par    
- * The state variables are stored in the array pState.    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].    
- * The state variables are arranged in the pState array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- */
-
-void arm_biquad_cascade_df1_init_q15(
-  arm_biquad_casd_df1_inst_q15 * S,
-  uint8_t numStages,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  int8_t postShift)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign postShift to be applied to the output */
-  S->postShift = postShift;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 4 * numStages */
-  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF1 group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
deleted file mode 100644
index 96ae6f9f..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
+++ /dev/null
@@ -1,111 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_init_q31.c    
-*    
-* Description:	Q31 Biquad cascade DirectFormI(DF1) filter initialization function.    
-*    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in,out] *S           points to an instance of the Q31 Biquad cascade structure.    
- * @param[in]     numStages    number of 2nd order stages in the filter.    
- * @param[in]     *pCoeffs     points to the filter coefficients buffer.    
- * @param[in]     *pState      points to the state buffer.    
- * @param[in]     postShift    Shift to be applied after the accumulator.  Varies according to the coefficients format    
- * @return        none    
- *    
- * Coefficient and State Ordering:    
- *    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
- * 
    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 5*numStages values.    
- *    
- * \par    
- * The pState points to state variables array.    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].    
- * The state variables are arranged in the pState array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- */
-
-void arm_biquad_cascade_df1_init_q31(
-  arm_biquad_casd_df1_inst_q31 * S,
-  uint8_t numStages,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  int8_t postShift)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign postShift to be applied to the output */
-  S->postShift = postShift;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 4 * numStages */
-  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF1 group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
deleted file mode 100644
index 8cfc5340..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
+++ /dev/null
@@ -1,411 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_q15.c    
-*    
-* Description:	Processing function for the    
-*				Q15 Biquad cascade DirectFormI(DF1) filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 Biquad cascade filter.    
- * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.    
- * @param[in]  *pSrc points to the block of input data.    
- * @param[out] *pDst points to the location where the output result is written.    
- * @param[in]  blockSize number of samples to process per call.    
- * @return none.    
- *    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * The accumulator is then shifted by postShift bits to truncate the result to 1.15 format by discarding the low 16 bits.    
- * Finally, the result is saturated to 1.15 format.    
- *    
- * \par    
- * Refer to the function arm_biquad_cascade_df1_fast_q15() for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_biquad_cascade_df1_q15(
-  const arm_biquad_casd_df1_inst_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q15_t *pIn = pSrc;                             /*  Source pointer                               */
-  q15_t *pOut = pDst;                            /*  Destination pointer                          */
-  q31_t in;                                      /*  Temporary variable to hold input value       */
-  q31_t out;                                     /*  Temporary variable to hold output value      */
-  q31_t b0;                                      /*  Temporary variable to hold bo value          */
-  q31_t b1, a1;                                  /*  Filter coefficients                          */
-  q31_t state_in, state_out;                     /*  Filter state variables                       */
-  q31_t acc_l, acc_h;
-  q63_t acc;                                     /*  Accumulator                                  */
-  int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift                                   */
-  q15_t *pState = S->pState;                     /*  State pointer                                */
-  q15_t *pCoeffs = S->pCoeffs;                   /*  Coefficient pointer                          */
-  uint32_t sample, stage = (uint32_t) S->numStages;     /*  Stage loop counter                           */
-  int32_t uShift = (32 - lShift);
-
-  do
-  {
-    /* Read the b0 and 0 coefficients using SIMD  */
-    b0 = *__SIMD32(pCoeffs)++;
-
-    /* Read the b1 and b2 coefficients using SIMD */
-    b1 = *__SIMD32(pCoeffs)++;
-
-    /* Read the a1 and a2 coefficients using SIMD */
-    a1 = *__SIMD32(pCoeffs)++;
-
-    /* Read the input state values from the state buffer:  x[n-1], x[n-2] */
-    state_in = *__SIMD32(pState)++;
-
-    /* Read the output state values from the state buffer:  y[n-1], y[n-2] */
-    state_out = *__SIMD32(pState)--;
-
-    /* Apply loop unrolling and compute 2 output values simultaneously. */
-    /*      The variable acc hold output values that are being computed:    
-     *    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
-     */
-    sample = blockSize >> 1u;
-
-    /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.    
-     ** a second loop below computes the remaining 1 sample. */
-    while(sample > 0u)
-    {
-
-      /* Read the input */
-      in = *__SIMD32(pIn)++;
-
-      /* out =  b0 * x[n] + 0 * 0 */
-      out = __SMUAD(b0, in);
-
-      /* acc +=  b1 * x[n-1] +  b2 * x[n-2] + out */
-      acc = __SMLALD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] +  a2 * y[n-2] */
-      acc = __SMLALD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      out = __SSAT(out, 16);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, (in >> 16), 16);
-      state_out = __PKHBT(state_out >> 16, (out), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* out =  b0 * x[n] + 0 * 0 */
-      out = __SMUADX(b0, in);
-      /* acc +=  b1 * x[n-1] +  b2 * x[n-2] + out */
-      acc = __SMLALD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] + a2 * y[n-2] */
-      acc = __SMLALD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      out = __SSAT(out, 16);
-
-      /* Store the output in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ = __PKHBT(state_out, out, 16);
-
-#else
-
-      *__SIMD32(pOut)++ = __PKHBT(out, state_out >> 16, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in >> 16, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, in, 16);
-      state_out = __PKHBT(state_out >> 16, out, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-
-      /* Decrement the loop counter */
-      sample--;
-
-    }
-
-    /* If the blockSize is not a multiple of 2, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-
-    if((blockSize & 0x1u) != 0u)
-    {
-      /* Read the input */
-      in = *pIn++;
-
-      /* out =  b0 * x[n] + 0 * 0 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      out = __SMUAD(b0, in);
-
-#else
-
-      out = __SMUADX(b0, in);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* acc =  b1 * x[n-1] + b2 * x[n-2] + out */
-      acc = __SMLALD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] + a2 * y[n-2] */
-      acc = __SMLALD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      out = __SSAT(out, 16);
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = (q15_t) out;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, in, 16);
-      state_out = __PKHBT(state_out >> 16, out, 16);
-
-#endif /*   #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-    }
-
-    /*  The first stage goes from the input wire to the output wire.  */
-    /*  Subsequent numStages occur in-place in the output wire  */
-    pIn = pDst;
-
-    /* Reset the output pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the state array */
-    *__SIMD32(pState)++ = state_in;
-    *__SIMD32(pState)++ = state_out;
-
-
-    /* Decrement the loop counter */
-    stage--;
-
-  } while(stage > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t *pIn = pSrc;                             /*  Source pointer                               */
-  q15_t *pOut = pDst;                            /*  Destination pointer                          */
-  q15_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
-  q15_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
-  q15_t Xn;                                      /*  temporary input               */
-  q63_t acc;                                     /*  Accumulator                                  */
-  int32_t shift = (15 - (int32_t) S->postShift); /*  Post shift                                   */
-  q15_t *pState = S->pState;                     /*  State pointer                                */
-  q15_t *pCoeffs = S->pCoeffs;                   /*  Coefficient pointer                          */
-  uint32_t sample, stage = (uint32_t) S->numStages;     /*  Stage loop counter                           */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    pCoeffs++;  // skip the 0 coefficient
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /*      The variables acc holds the output value that is computed:         
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]         
-     */
-
-    sample = blockSize;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q31_t) b0 *Xn;
-
-      /* acc +=  b1 * x[n-1] */
-      acc += (q31_t) b1 *Xn1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q31_t) b2 *Xn2;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q31_t) a1 *Yn1;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q31_t) a2 *Yn2;
-
-      /* The result is converted to 1.31  */
-      acc = __SSAT((acc >> shift), 16);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = (q15_t) acc;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = (q15_t) acc;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent stages occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset to destination pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-
-#endif /*     #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-
-/**    
- * @} end of BiquadCascadeDF1 group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
deleted file mode 100644
index 35f2124b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
+++ /dev/null
@@ -1,405 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_q31.c    
-*    
-* Description:	Processing function for the    
-*				Q31 Biquad cascade filter    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 Biquad cascade filter.    
- * @param[in]  *S         points to an instance of the Q31 Biquad cascade structure.    
- * @param[in]  *pSrc      points to the block of input data.    
- * @param[out] *pDst      points to the block of output data.    
- * @param[in]  blockSize  number of samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).    
- * After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to    
- * 1.31 format by discarding the low 32 bits.    
- *    
- * \par    
- * Refer to the function arm_biquad_cascade_df1_fast_q31() for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_biquad_cascade_df1_q31(
-  const arm_biquad_casd_df1_inst_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q63_t acc;                                     /*  accumulator                   */
-  uint32_t uShift = ((uint32_t) S->postShift + 1u);
-  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
-  q31_t *pIn = pSrc;                             /*  input pointer initialization  */
-  q31_t *pOut = pDst;                            /*  output pointer initialization */
-  q31_t *pState = S->pState;                     /*  pState pointer initialization */
-  q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
-  q31_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
-  q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
-  q31_t Xn;                                      /*  temporary input               */
-  uint32_t sample, stage = S->numStages;         /*  loop counters                     */
-
-
-#ifndef ARM_MATH_CM0_FAMILY_FAMILY
-
-  q31_t acc_l, acc_h;                            /*  temporary output variables    */
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /* Apply loop unrolling and compute 4 output values simultaneously. */
-    /*      The variable acc hold output values that are being computed:    
-     *    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
-     */
-
-    sample = blockSize >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn2;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn1;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn2;
-
-      /* The result is converted to 1.31 , Yn2 variable is reused */
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = Yn2;
-
-      /* Read the second input */
-      Xn2 = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn2;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn1;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn2;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn1;
-
-
-      /* The result is converted to 1.31, Yn1 variable is reused  */
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = Yn1;
-
-      /* Read the third input  */
-      Xn1 = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn1;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn2;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn1;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn2;
-
-      /* The result is converted to 1.31, Yn2 variable is reused  */
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = Yn2;
-
-      /* Read the forth input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn2;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn2;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn1;
-
-      /* The result is converted to 1.31, Yn1 variable is reused  */
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = Yn1;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    sample = (blockSize & 0x3u);
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn2;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn1;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn2;
-
-      /* The result is converted to 1.31  */
-      acc = acc >> lShift;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = (q31_t) acc;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = (q31_t) acc;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent stages occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset to destination pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /*      The variables acc holds the output value that is computed:         
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]         
-     */
-
-    sample = blockSize;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn;
-
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn2;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn1;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn2;
-
-      /* The result is converted to 1.31  */
-      acc = acc >> lShift;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = (q31_t) acc;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = (q31_t) acc;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent stages occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset to destination pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-
-#endif /*  #ifndef ARM_MATH_CM0_FAMILY_FAMILY */
-}
-
-
-
-
-/**    
-  * @} end of BiquadCascadeDF1 group    
-  */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
deleted file mode 100644
index fc15e3cc..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
+++ /dev/null
@@ -1,603 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df2T_f32.c    
-*    
-* Description:  Processing function for the floating-point transposed    
-*               direct form II Biquad cascade filter.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**       
-* @ingroup groupFilters       
-*/
-
-/**       
-* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure       
-*       
-* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.       
-* The filters are implemented as a cascade of second order Biquad sections.       
-* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.      
-* Only floating-point data is supported.       
-*       
-* This function operate on blocks of input and output data and each call to the function       
-* processes blockSize samples through the filter.       
-* pSrc points to the array of input data and       
-* pDst points to the array of output data.       
-* Both arrays contain blockSize values.       
-*       
-* \par Algorithm       
-* Each Biquad stage implements a second order filter using the difference equation:       
-* 
       
-*    y[n] = b0 * x[n] + d1       
-*    d1 = b1 * x[n] + a1 * y[n] + d2       
-*    d2 = b2 * x[n] + a2 * y[n]       
-* 
       
-* where d1 and d2 represent the two state values.       
-*       
-* \par       
-* A Biquad filter using a transposed Direct Form II structure is shown below.       
-* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad"       
-* Coefficients b0, b1, and b2  multiply the input signal x[n] and are referred to as the feedforward coefficients.       
-* Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.       
-* Pay careful attention to the sign of the feedback coefficients.       
-* Some design tools flip the sign of the feedback coefficients:       
-* 
       
-*    y[n] = b0 * x[n] + d1;       
-*    d1 = b1 * x[n] - a1 * y[n] + d2;       
-*    d2 = b2 * x[n] - a2 * y[n];       
-* 
       
-* In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library.       
-*       
-* \par       
-* Higher order filters are realized as a cascade of second order sections.       
-* numStages refers to the number of second order stages used.       
-* For example, an 8th order filter would be realized with numStages=4 second order stages.       
-* A 9th order filter would be realized with numStages=5 second order stages with the       
-* coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).       
-*       
-* \par       
-* pState points to the state variable array.       
-* Each Biquad stage has 2 state variables d1 and d2.       
-* The state variables are arranged in the pState array as:       
-* 
       
-*     {d11, d12, d21, d22, ...}       
-* 
       
-* where d1x refers to the state variables for the first Biquad and       
-* d2x refers to the state variables for the second Biquad.       
-* The state array has a total length of 2*numStages values.       
-* The state variables are updated after each block of data is processed; the coefficients are untouched.       
-*       
-* \par       
-* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.    
-* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.    
-* That is why the Direct Form I structure supports Q15 and Q31 data types.    
-* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables d1 and d2.    
-* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.    
-* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.    
-*       
-* \par Instance Structure       
-* The coefficients and state variables for a filter are stored together in an instance data structure.       
-* A separate instance structure must be defined for each filter.       
-* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.       
-*       
-* \par Init Functions       
-* There is also an associated initialization function.      
-* The initialization function performs following operations:       
-* - Sets the values of the internal structure fields.       
-* - Zeros out the values in the state buffer.       
-* To do this manually without calling the init function, assign the follow subfields of the instance structure:
-* numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
-*       
-* \par       
-* Use of the initialization function is optional.       
-* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.       
-* To place an instance structure into a const data section, the instance structure must be manually initialized.       
-* Set the values in the state buffer to zeros before static initialization.       
-* For example, to statically initialize the instance structure use       
-* 
       
-*     arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};       
-* 
       
-* where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer.       
-* pCoeffs is the address of the coefficient buffer;        
-*       
-*/
-
-/**       
-* @addtogroup BiquadCascadeDF2T       
-* @{       
-*/
-
-/**      
-* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.      
-* @param[in]  *S        points to an instance of the filter data structure.      
-* @param[in]  *pSrc     points to the block of input data.      
-* @param[out] *pDst     points to the block of output data      
-* @param[in]  blockSize number of samples to process.      
-* @return none.      
-*/
-
-
-LOW_OPTIMIZATION_ENTER
-void arm_biquad_cascade_df2T_f32(
-const arm_biquad_cascade_df2T_instance_f32 * S,
-float32_t * pSrc,
-float32_t * pDst,
-uint32_t blockSize)
-{
-
-   float32_t *pIn = pSrc;                         /*  source pointer            */
-   float32_t *pOut = pDst;                        /*  destination pointer       */
-   float32_t *pState = S->pState;                 /*  State pointer             */
-   float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
-   float32_t acc1;                                /*  accumulator               */
-   float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
-   float32_t Xn1;                                 /*  temporary input           */
-   float32_t d1, d2;                              /*  state variables           */
-   uint32_t sample, stage = S->numStages;         /*  loop counters             */
-
-#if defined(ARM_MATH_CM7)
-	
-   float32_t Xn2, Xn3, Xn4, Xn5, Xn6, Xn7, Xn8;   /*  Input State variables     */
-   float32_t Xn9, Xn10, Xn11, Xn12, Xn13, Xn14, Xn15, Xn16;
-   float32_t acc2, acc3, acc4, acc5, acc6, acc7;  /*  Simulates the accumulator */
-   float32_t acc8, acc9, acc10, acc11, acc12, acc13, acc14, acc15, acc16;
-
-   do
-   {
-      /* Reading the coefficients */ 
-      b0 = pCoeffs[0]; 
-      b1 = pCoeffs[1]; 
-      b2 = pCoeffs[2]; 
-      a1 = pCoeffs[3]; 
-      /* Apply loop unrolling and compute 16 output values simultaneously. */ 
-      sample = blockSize >> 4u; 
-      a2 = pCoeffs[4]; 
-
-      /*Reading the state values */ 
-      d1 = pState[0]; 
-      d2 = pState[1]; 
-
-      pCoeffs += 5u;
-
-      
-      /* First part of the processing with loop unrolling.  Compute 16 outputs at a time.       
-       ** a second loop below computes the remaining 1 to 15 samples. */
-      while(sample > 0u) {
-
-         /* y[n] = b0 * x[n] + d1 */
-         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-         /* d2 = b2 * x[n] + a2 * y[n] */
-
-         /* Read the first 2 inputs. 2 cycles */
-         Xn1  = pIn[0 ];
-         Xn2  = pIn[1 ];
-
-         /* Sample 1. 5 cycles */
-         Xn3  = pIn[2 ];
-         acc1 = b0 * Xn1 + d1;
-         
-         Xn4  = pIn[3 ];
-         d1 = b1 * Xn1 + d2;
-         
-         Xn5  = pIn[4 ];
-         d2 = b2 * Xn1;
-         
-         Xn6  = pIn[5 ];
-         d1 += a1 * acc1;
-         
-         Xn7  = pIn[6 ];
-         d2 += a2 * acc1;
-
-         /* Sample 2. 5 cycles */
-         Xn8  = pIn[7 ];
-         acc2 = b0 * Xn2 + d1;
-         
-         Xn9  = pIn[8 ];
-         d1 = b1 * Xn2 + d2;
-         
-         Xn10 = pIn[9 ];
-         d2 = b2 * Xn2;
-         
-         Xn11 = pIn[10];
-         d1 += a1 * acc2;
-         
-         Xn12 = pIn[11];
-         d2 += a2 * acc2;
-
-         /* Sample 3. 5 cycles */
-         Xn13 = pIn[12];
-         acc3 = b0 * Xn3 + d1;
-         
-         Xn14 = pIn[13];
-         d1 = b1 * Xn3 + d2;
-         
-         Xn15 = pIn[14];
-         d2 = b2 * Xn3;
-         
-         Xn16 = pIn[15];
-         d1 += a1 * acc3;
-         
-         pIn += 16;
-         d2 += a2 * acc3;
-
-         /* Sample 4. 5 cycles */
-         acc4 = b0 * Xn4 + d1;
-         d1 = b1 * Xn4 + d2;
-         d2 = b2 * Xn4;
-         d1 += a1 * acc4;
-         d2 += a2 * acc4;
-
-         /* Sample 5. 5 cycles */
-         acc5 = b0 * Xn5 + d1;
-         d1 = b1 * Xn5 + d2;
-         d2 = b2 * Xn5;
-         d1 += a1 * acc5;
-         d2 += a2 * acc5;
-
-         /* Sample 6. 5 cycles */
-         acc6 = b0 * Xn6 + d1;
-         d1 = b1 * Xn6 + d2;
-         d2 = b2 * Xn6;
-         d1 += a1 * acc6;
-         d2 += a2 * acc6;
-
-         /* Sample 7. 5 cycles */
-         acc7 = b0 * Xn7 + d1;
-         d1 = b1 * Xn7 + d2;
-         d2 = b2 * Xn7;
-         d1 += a1 * acc7;
-         d2 += a2 * acc7;
-
-         /* Sample 8. 5 cycles */
-         acc8 = b0 * Xn8 + d1;
-         d1 = b1 * Xn8 + d2;
-         d2 = b2 * Xn8;
-         d1 += a1 * acc8;
-         d2 += a2 * acc8;
-
-         /* Sample 9. 5 cycles */
-         acc9 = b0 * Xn9 + d1;
-         d1 = b1 * Xn9 + d2;
-         d2 = b2 * Xn9;
-         d1 += a1 * acc9;
-         d2 += a2 * acc9;
-
-         /* Sample 10. 5 cycles */
-         acc10 = b0 * Xn10 + d1;
-         d1 = b1 * Xn10 + d2;
-         d2 = b2 * Xn10;
-         d1 += a1 * acc10;
-         d2 += a2 * acc10;
-
-         /* Sample 11. 5 cycles */
-         acc11 = b0 * Xn11 + d1;
-         d1 = b1 * Xn11 + d2;
-         d2 = b2 * Xn11;
-         d1 += a1 * acc11;
-         d2 += a2 * acc11;
-
-         /* Sample 12. 5 cycles */
-         acc12 = b0 * Xn12 + d1;
-         d1 = b1 * Xn12 + d2;
-         d2 = b2 * Xn12;
-         d1 += a1 * acc12;
-         d2 += a2 * acc12;
-
-         /* Sample 13. 5 cycles */
-         acc13 = b0 * Xn13 + d1;         
-         d1 = b1 * Xn13 + d2;         
-         d2 = b2 * Xn13;
-         
-         pOut[0 ] = acc1 ;
-         d1 += a1 * acc13;
-         
-         pOut[1 ] = acc2 ;	
-         d2 += a2 * acc13;
-
-         /* Sample 14. 5 cycles */
-         pOut[2 ] = acc3 ;	
-         acc14 = b0 * Xn14 + d1;
-             
-         pOut[3 ] = acc4 ;
-         d1 = b1 * Xn14 + d2;
-          
-         pOut[4 ] = acc5 ; 
-         d2 = b2 * Xn14;
-         
-         pOut[5 ] = acc6 ;	  
-         d1 += a1 * acc14;
-         
-         pOut[6 ] = acc7 ;	
-         d2 += a2 * acc14;
-
-         /* Sample 15. 5 cycles */
-         pOut[7 ] = acc8 ;
-         pOut[8 ] = acc9 ;  
-         acc15 = b0 * Xn15 + d1;
-              
-         pOut[9 ] = acc10;	
-         d1 = b1 * Xn15 + d2;
-         
-         pOut[10] = acc11;	
-         d2 = b2 * Xn15;
-         
-         pOut[11] = acc12;
-         d1 += a1 * acc15;
-         
-         pOut[12] = acc13;
-         d2 += a2 * acc15;
-
-         /* Sample 16. 5 cycles */
-         pOut[13] = acc14;	
-         acc16 = b0 * Xn16 + d1;
-         
-         pOut[14] = acc15;	
-         d1 = b1 * Xn16 + d2;
-         
-         pOut[15] = acc16;
-         d2 = b2 * Xn16;
-         
-         sample--;	 
-         d1 += a1 * acc16;
-         
-         pOut += 16;
-         d2 += a2 * acc16;
-      }
-
-      sample = blockSize & 0xFu;
-      while(sample > 0u) {
-         Xn1 = *pIn;         
-         acc1 = b0 * Xn1 + d1;
-         
-         pIn++;
-         d1 = b1 * Xn1 + d2;
-         
-         *pOut = acc1; 
-         d2 = b2 * Xn1;
-         
-         pOut++;
-         d1 += a1 * acc1;
-         
-         sample--;	
-         d2 += a2 * acc1; 
-      }
-
-      /* Store the updated state variables back into the state array */ 
-      pState[0] = d1; 
-      /* The current stage input is given as the output to the next stage */ 
-      pIn = pDst; 
-      
-      pState[1] = d2; 
-      /* decrement the loop counter */ 
-      stage--; 
-
-      pState += 2u;
-
-      /*Reset the output working pointer */ 
-      pOut = pDst; 
-
-   } while(stage > 0u);
-	
-#elif defined(ARM_MATH_CM0_FAMILY)
-
-   /* Run the below code for Cortex-M0 */
-
-   do
-   {
-      /* Reading the coefficients */
-      b0 = *pCoeffs++;
-      b1 = *pCoeffs++;
-      b2 = *pCoeffs++;
-      a1 = *pCoeffs++;
-      a2 = *pCoeffs++;
-
-      /*Reading the state values */
-      d1 = pState[0];
-      d2 = pState[1];
-
-
-      sample = blockSize;
-
-      while(sample > 0u)
-      {
-         /* Read the input */
-         Xn1 = *pIn++;
-
-         /* y[n] = b0 * x[n] + d1 */
-         acc1 = (b0 * Xn1) + d1;
-
-         /* Store the result in the accumulator in the destination buffer. */
-         *pOut++ = acc1;
-
-         /* Every time after the output is computed state should be updated. */
-         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-         d1 = ((b1 * Xn1) + (a1 * acc1)) + d2;
-
-         /* d2 = b2 * x[n] + a2 * y[n] */
-         d2 = (b2 * Xn1) + (a2 * acc1);
-
-         /* decrement the loop counter */
-         sample--;
-      }
-
-      /* Store the updated state variables back into the state array */
-      *pState++ = d1;
-      *pState++ = d2;
-
-      /* The current stage input is given as the output to the next stage */
-      pIn = pDst;
-
-      /*Reset the output working pointer */
-      pOut = pDst;
-
-      /* decrement the loop counter */
-      stage--;
-
-   } while(stage > 0u);
-	 
-#else
-
-   float32_t Xn2, Xn3, Xn4;                  	  /*  Input State variables     */
-   float32_t acc2, acc3, acc4;              		  /*  accumulator               */
-
-
-   float32_t p0, p1, p2, p3, p4, A1;
-
-   /* Run the below code for Cortex-M4 and Cortex-M3 */
-   do
-   {
-      /* Reading the coefficients */     
-      b0 = *pCoeffs++;
-      b1 = *pCoeffs++;
-      b2 = *pCoeffs++;
-      a1 = *pCoeffs++;
-      a2 = *pCoeffs++;
-      
-
-      /*Reading the state values */
-      d1 = pState[0];
-      d2 = pState[1];
-
-      /* Apply loop unrolling and compute 4 output values simultaneously. */
-      sample = blockSize >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
-   ** a second loop below computes the remaining 1 to 3 samples. */
-      while(sample > 0u) {
-
-         /* y[n] = b0 * x[n] + d1 */
-         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-         /* d2 = b2 * x[n] + a2 * y[n] */
-
-         /* Read the four inputs */
-         Xn1 = pIn[0];
-         Xn2 = pIn[1];
-         Xn3 = pIn[2];
-         Xn4 = pIn[3];
-         pIn += 4;     
-
-         p0 = b0 * Xn1; 
-         p1 = b1 * Xn1;
-         acc1 = p0 + d1;
-         p0 = b0 * Xn2; 
-         p3 = a1 * acc1;
-         p2 = b2 * Xn1;
-         A1 = p1 + p3;
-         p4 = a2 * acc1;
-         d1 = A1 + d2;
-         d2 = p2 + p4;
-
-         p1 = b1 * Xn2;
-         acc2 = p0 + d1;
-         p0 = b0 * Xn3;	 
-         p3 = a1 * acc2; 
-         p2 = b2 * Xn2;                                 
-         A1 = p1 + p3;
-         p4 = a2 * acc2;
-         d1 = A1 + d2;
-         d2 = p2 + p4;
-
-         p1 = b1 * Xn3;
-         acc3 = p0 + d1;
-         p0 = b0 * Xn4;	
-         p3 = a1 * acc3;
-         p2 = b2 * Xn3;
-         A1 = p1 + p3;
-         p4 = a2 * acc3;
-         d1 = A1 + d2;
-         d2 = p2 + p4;
-
-         acc4 = p0 + d1;
-         p1 = b1 * Xn4;
-         p3 = a1 * acc4;
-         p2 = b2 * Xn4;
-         A1 = p1 + p3;
-         p4 = a2 * acc4;
-         d1 = A1 + d2;
-         d2 = p2 + p4;
-
-         pOut[0] = acc1;	
-         pOut[1] = acc2;	
-         pOut[2] = acc3;	
-         pOut[3] = acc4;
-		 pOut += 4;
-				 
-         sample--;	       
-      }
-
-      sample = blockSize & 0x3u;
-      while(sample > 0u) {
-         Xn1 = *pIn++;
-
-         p0 = b0 * Xn1; 
-         p1 = b1 * Xn1;
-         acc1 = p0 + d1;
-         p3 = a1 * acc1;
-         p2 = b2 * Xn1;
-         A1 = p1 + p3;
-         p4 = a2 * acc1;
-         d1 = A1 + d2;
-         d2 = p2 + p4;
-	
-         *pOut++ = acc1;
-         
-         sample--;	       
-      }
-
-      /* Store the updated state variables back into the state array */
-      *pState++ = d1;
-      *pState++ = d2;
-
-      /* The current stage input is given as the output to the next stage */
-      pIn = pDst;
-
-      /*Reset the output working pointer */
-      pOut = pDst;
-
-      /* decrement the loop counter */
-      stage--;
-
-   } while(stage > 0u);
-
-#endif 
-
-}
-LOW_OPTIMIZATION_EXIT
-
-/**       
-   * @} end of BiquadCascadeDF2T group       
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
deleted file mode 100644
index 265bd3a5..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
+++ /dev/null
@@ -1,603 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df2T_f64.c    
-*    
-* Description:  Processing function for the floating-point transposed    
-*               direct form II Biquad cascade filter.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**       
-* @ingroup groupFilters       
-*/
-
-/**       
-* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure       
-*       
-* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.       
-* The filters are implemented as a cascade of second order Biquad sections.       
-* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.      
-* Only floating-point data is supported.       
-*       
-* This function operate on blocks of input and output data and each call to the function       
-* processes blockSize samples through the filter.       
-* pSrc points to the array of input data and       
-* pDst points to the array of output data.       
-* Both arrays contain blockSize values.       
-*       
-* \par Algorithm       
-* Each Biquad stage implements a second order filter using the difference equation:       
-* 
       
-*    y[n] = b0 * x[n] + d1       
-*    d1 = b1 * x[n] + a1 * y[n] + d2       
-*    d2 = b2 * x[n] + a2 * y[n]       
-* 
       
-* where d1 and d2 represent the two state values.       
-*       
-* \par       
-* A Biquad filter using a transposed Direct Form II structure is shown below.       
-* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad"       
-* Coefficients b0, b1, and b2  multiply the input signal x[n] and are referred to as the feedforward coefficients.       
-* Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.       
-* Pay careful attention to the sign of the feedback coefficients.       
-* Some design tools flip the sign of the feedback coefficients:       
-* 
       
-*    y[n] = b0 * x[n] + d1;       
-*    d1 = b1 * x[n] - a1 * y[n] + d2;       
-*    d2 = b2 * x[n] - a2 * y[n];       
-* 
       
-* In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library.       
-*       
-* \par       
-* Higher order filters are realized as a cascade of second order sections.       
-* numStages refers to the number of second order stages used.       
-* For example, an 8th order filter would be realized with numStages=4 second order stages.       
-* A 9th order filter would be realized with numStages=5 second order stages with the       
-* coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).       
-*       
-* \par       
-* pState points to the state variable array.       
-* Each Biquad stage has 2 state variables d1 and d2.       
-* The state variables are arranged in the pState array as:       
-* 
       
-*     {d11, d12, d21, d22, ...}       
-* 
       
-* where d1x refers to the state variables for the first Biquad and       
-* d2x refers to the state variables for the second Biquad.       
-* The state array has a total length of 2*numStages values.       
-* The state variables are updated after each block of data is processed; the coefficients are untouched.       
-*       
-* \par       
-* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.    
-* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.    
-* That is why the Direct Form I structure supports Q15 and Q31 data types.    
-* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables d1 and d2.    
-* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.    
-* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.    
-*       
-* \par Instance Structure       
-* The coefficients and state variables for a filter are stored together in an instance data structure.       
-* A separate instance structure must be defined for each filter.       
-* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.       
-*       
-* \par Init Functions       
-* There is also an associated initialization function.      
-* The initialization function performs following operations:       
-* - Sets the values of the internal structure fields.       
-* - Zeros out the values in the state buffer.       
-* To do this manually without calling the init function, assign the follow subfields of the instance structure:
-* numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
-*       
-* \par       
-* Use of the initialization function is optional.       
-* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.       
-* To place an instance structure into a const data section, the instance structure must be manually initialized.       
-* Set the values in the state buffer to zeros before static initialization.       
-* For example, to statically initialize the instance structure use       
-* 
       
-*     arm_biquad_cascade_df2T_instance_f64 S1 = {numStages, pState, pCoeffs};       
-* 
       
-* where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer.       
-* pCoeffs is the address of the coefficient buffer;        
-*       
-*/
-
-/**       
-* @addtogroup BiquadCascadeDF2T       
-* @{       
-*/
-
-/**      
-* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.      
-* @param[in]  *S        points to an instance of the filter data structure.      
-* @param[in]  *pSrc     points to the block of input data.      
-* @param[out] *pDst     points to the block of output data      
-* @param[in]  blockSize number of samples to process.      
-* @return none.      
-*/
-
-
-LOW_OPTIMIZATION_ENTER
-void arm_biquad_cascade_df2T_f64(
-const arm_biquad_cascade_df2T_instance_f64 * S,
-float64_t * pSrc,
-float64_t * pDst,
-uint32_t blockSize)
-{
-
-   float64_t *pIn = pSrc;                         /*  source pointer            */
-   float64_t *pOut = pDst;                        /*  destination pointer       */
-   float64_t *pState = S->pState;                 /*  State pointer             */
-   float64_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
-   float64_t acc1;                                /*  accumulator               */
-   float64_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
-   float64_t Xn1;                                 /*  temporary input           */
-   float64_t d1, d2;                              /*  state variables           */
-   uint32_t sample, stage = S->numStages;         /*  loop counters             */
-
-#if defined(ARM_MATH_CM7)
-	
-   float64_t Xn2, Xn3, Xn4, Xn5, Xn6, Xn7, Xn8;   /*  Input State variables     */
-   float64_t Xn9, Xn10, Xn11, Xn12, Xn13, Xn14, Xn15, Xn16;
-   float64_t acc2, acc3, acc4, acc5, acc6, acc7;  /*  Simulates the accumulator */
-   float64_t acc8, acc9, acc10, acc11, acc12, acc13, acc14, acc15, acc16;
-
-   do
-   {
-      /* Reading the coefficients */ 
-      b0 = pCoeffs[0]; 
-      b1 = pCoeffs[1]; 
-      b2 = pCoeffs[2]; 
-      a1 = pCoeffs[3]; 
-      /* Apply loop unrolling and compute 16 output values simultaneously. */ 
-      sample = blockSize >> 4u; 
-      a2 = pCoeffs[4]; 
-
-      /*Reading the state values */ 
-      d1 = pState[0]; 
-      d2 = pState[1]; 
-
-      pCoeffs += 5u;
-
-      
-      /* First part of the processing with loop unrolling.  Compute 16 outputs at a time.       
-       ** a second loop below computes the remaining 1 to 15 samples. */
-      while(sample > 0u) {
-
-         /* y[n] = b0 * x[n] + d1 */
-         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-         /* d2 = b2 * x[n] + a2 * y[n] */
-
-         /* Read the first 2 inputs. 2 cycles */
-         Xn1  = pIn[0 ];
-         Xn2  = pIn[1 ];
-
-         /* Sample 1. 5 cycles */
-         Xn3  = pIn[2 ];
-         acc1 = b0 * Xn1 + d1;
-         
-         Xn4  = pIn[3 ];
-         d1 = b1 * Xn1 + d2;
-         
-         Xn5  = pIn[4 ];
-         d2 = b2 * Xn1;
-         
-         Xn6  = pIn[5 ];
-         d1 += a1 * acc1;
-         
-         Xn7  = pIn[6 ];
-         d2 += a2 * acc1;
-
-         /* Sample 2. 5 cycles */
-         Xn8  = pIn[7 ];
-         acc2 = b0 * Xn2 + d1;
-         
-         Xn9  = pIn[8 ];
-         d1 = b1 * Xn2 + d2;
-         
-         Xn10 = pIn[9 ];
-         d2 = b2 * Xn2;
-         
-         Xn11 = pIn[10];
-         d1 += a1 * acc2;
-         
-         Xn12 = pIn[11];
-         d2 += a2 * acc2;
-
-         /* Sample 3. 5 cycles */
-         Xn13 = pIn[12];
-         acc3 = b0 * Xn3 + d1;
-         
-         Xn14 = pIn[13];
-         d1 = b1 * Xn3 + d2;
-         
-         Xn15 = pIn[14];
-         d2 = b2 * Xn3;
-         
-         Xn16 = pIn[15];
-         d1 += a1 * acc3;
-         
-         pIn += 16;
-         d2 += a2 * acc3;
-
-         /* Sample 4. 5 cycles */
-         acc4 = b0 * Xn4 + d1;
-         d1 = b1 * Xn4 + d2;
-         d2 = b2 * Xn4;
-         d1 += a1 * acc4;
-         d2 += a2 * acc4;
-
-         /* Sample 5. 5 cycles */
-         acc5 = b0 * Xn5 + d1;
-         d1 = b1 * Xn5 + d2;
-         d2 = b2 * Xn5;
-         d1 += a1 * acc5;
-         d2 += a2 * acc5;
-
-         /* Sample 6. 5 cycles */
-         acc6 = b0 * Xn6 + d1;
-         d1 = b1 * Xn6 + d2;
-         d2 = b2 * Xn6;
-         d1 += a1 * acc6;
-         d2 += a2 * acc6;
-
-         /* Sample 7. 5 cycles */
-         acc7 = b0 * Xn7 + d1;
-         d1 = b1 * Xn7 + d2;
-         d2 = b2 * Xn7;
-         d1 += a1 * acc7;
-         d2 += a2 * acc7;
-
-         /* Sample 8. 5 cycles */
-         acc8 = b0 * Xn8 + d1;
-         d1 = b1 * Xn8 + d2;
-         d2 = b2 * Xn8;
-         d1 += a1 * acc8;
-         d2 += a2 * acc8;
-
-         /* Sample 9. 5 cycles */
-         acc9 = b0 * Xn9 + d1;
-         d1 = b1 * Xn9 + d2;
-         d2 = b2 * Xn9;
-         d1 += a1 * acc9;
-         d2 += a2 * acc9;
-
-         /* Sample 10. 5 cycles */
-         acc10 = b0 * Xn10 + d1;
-         d1 = b1 * Xn10 + d2;
-         d2 = b2 * Xn10;
-         d1 += a1 * acc10;
-         d2 += a2 * acc10;
-
-         /* Sample 11. 5 cycles */
-         acc11 = b0 * Xn11 + d1;
-         d1 = b1 * Xn11 + d2;
-         d2 = b2 * Xn11;
-         d1 += a1 * acc11;
-         d2 += a2 * acc11;
-
-         /* Sample 12. 5 cycles */
-         acc12 = b0 * Xn12 + d1;
-         d1 = b1 * Xn12 + d2;
-         d2 = b2 * Xn12;
-         d1 += a1 * acc12;
-         d2 += a2 * acc12;
-
-         /* Sample 13. 5 cycles */
-         acc13 = b0 * Xn13 + d1;         
-         d1 = b1 * Xn13 + d2;         
-         d2 = b2 * Xn13;
-         
-         pOut[0 ] = acc1 ;
-         d1 += a1 * acc13;
-         
-         pOut[1 ] = acc2 ;	
-         d2 += a2 * acc13;
-
-         /* Sample 14. 5 cycles */
-         pOut[2 ] = acc3 ;	
-         acc14 = b0 * Xn14 + d1;
-             
-         pOut[3 ] = acc4 ;
-         d1 = b1 * Xn14 + d2;
-          
-         pOut[4 ] = acc5 ; 
-         d2 = b2 * Xn14;
-         
-         pOut[5 ] = acc6 ;	  
-         d1 += a1 * acc14;
-         
-         pOut[6 ] = acc7 ;	
-         d2 += a2 * acc14;
-
-         /* Sample 15. 5 cycles */
-         pOut[7 ] = acc8 ;
-         pOut[8 ] = acc9 ;  
-         acc15 = b0 * Xn15 + d1;
-              
-         pOut[9 ] = acc10;	
-         d1 = b1 * Xn15 + d2;
-         
-         pOut[10] = acc11;	
-         d2 = b2 * Xn15;
-         
-         pOut[11] = acc12;
-         d1 += a1 * acc15;
-         
-         pOut[12] = acc13;
-         d2 += a2 * acc15;
-
-         /* Sample 16. 5 cycles */
-         pOut[13] = acc14;	
-         acc16 = b0 * Xn16 + d1;
-         
-         pOut[14] = acc15;	
-         d1 = b1 * Xn16 + d2;
-         
-         pOut[15] = acc16;
-         d2 = b2 * Xn16;
-         
-         sample--;	 
-         d1 += a1 * acc16;
-         
-         pOut += 16;
-         d2 += a2 * acc16;
-      }
-
-      sample = blockSize & 0xFu;
-      while(sample > 0u) {
-         Xn1 = *pIn;         
-         acc1 = b0 * Xn1 + d1;
-         
-         pIn++;
-         d1 = b1 * Xn1 + d2;
-         
-         *pOut = acc1; 
-         d2 = b2 * Xn1;
-         
-         pOut++;
-         d1 += a1 * acc1;
-         
-         sample--;	
-         d2 += a2 * acc1; 
-      }
-
-      /* Store the updated state variables back into the state array */ 
-      pState[0] = d1; 
-      /* The current stage input is given as the output to the next stage */ 
-      pIn = pDst; 
-      
-      pState[1] = d2; 
-      /* decrement the loop counter */ 
-      stage--; 
-
-      pState += 2u;
-
-      /*Reset the output working pointer */ 
-      pOut = pDst; 
-
-   } while(stage > 0u);
-	
-#elif defined(ARM_MATH_CM0_FAMILY)
-
-   /* Run the below code for Cortex-M0 */
-
-   do
-   {
-      /* Reading the coefficients */
-      b0 = *pCoeffs++;
-      b1 = *pCoeffs++;
-      b2 = *pCoeffs++;
-      a1 = *pCoeffs++;
-      a2 = *pCoeffs++;
-
-      /*Reading the state values */
-      d1 = pState[0];
-      d2 = pState[1];
-
-
-      sample = blockSize;
-
-      while(sample > 0u)
-      {
-         /* Read the input */
-         Xn1 = *pIn++;
-
-         /* y[n] = b0 * x[n] + d1 */
-         acc1 = (b0 * Xn1) + d1;
-
-         /* Store the result in the accumulator in the destination buffer. */
-         *pOut++ = acc1;
-
-         /* Every time after the output is computed state should be updated. */
-         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-         d1 = ((b1 * Xn1) + (a1 * acc1)) + d2;
-
-         /* d2 = b2 * x[n] + a2 * y[n] */
-         d2 = (b2 * Xn1) + (a2 * acc1);
-
-         /* decrement the loop counter */
-         sample--;
-      }
-
-      /* Store the updated state variables back into the state array */
-      *pState++ = d1;
-      *pState++ = d2;
-
-      /* The current stage input is given as the output to the next stage */
-      pIn = pDst;
-
-      /*Reset the output working pointer */
-      pOut = pDst;
-
-      /* decrement the loop counter */
-      stage--;
-
-   } while(stage > 0u);
-	 
-#else
-
-   float64_t Xn2, Xn3, Xn4;                  	  /*  Input State variables     */
-   float64_t acc2, acc3, acc4;              		  /*  accumulator               */
-
-
-   float64_t p0, p1, p2, p3, p4, A1;
-
-   /* Run the below code for Cortex-M4 and Cortex-M3 */
-   do
-   {
-      /* Reading the coefficients */     
-      b0 = *pCoeffs++;
-      b1 = *pCoeffs++;
-      b2 = *pCoeffs++;
-      a1 = *pCoeffs++;
-      a2 = *pCoeffs++;
-      
-
-      /*Reading the state values */
-      d1 = pState[0];
-      d2 = pState[1];
-
-      /* Apply loop unrolling and compute 4 output values simultaneously. */
-      sample = blockSize >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
-   ** a second loop below computes the remaining 1 to 3 samples. */
-      while(sample > 0u) {
-
-         /* y[n] = b0 * x[n] + d1 */
-         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-         /* d2 = b2 * x[n] + a2 * y[n] */
-
-         /* Read the four inputs */
-         Xn1 = pIn[0];
-         Xn2 = pIn[1];
-         Xn3 = pIn[2];
-         Xn4 = pIn[3];
-         pIn += 4;     
-
-         p0 = b0 * Xn1; 
-         p1 = b1 * Xn1;
-         acc1 = p0 + d1;
-         p0 = b0 * Xn2; 
-         p3 = a1 * acc1;
-         p2 = b2 * Xn1;
-         A1 = p1 + p3;
-         p4 = a2 * acc1;
-         d1 = A1 + d2;
-         d2 = p2 + p4;
-
-         p1 = b1 * Xn2;
-         acc2 = p0 + d1;
-         p0 = b0 * Xn3;	 
-         p3 = a1 * acc2; 
-         p2 = b2 * Xn2;                                 
-         A1 = p1 + p3;
-         p4 = a2 * acc2;
-         d1 = A1 + d2;
-         d2 = p2 + p4;
-
-         p1 = b1 * Xn3;
-         acc3 = p0 + d1;
-         p0 = b0 * Xn4;	
-         p3 = a1 * acc3;
-         p2 = b2 * Xn3;
-         A1 = p1 + p3;
-         p4 = a2 * acc3;
-         d1 = A1 + d2;
-         d2 = p2 + p4;
-
-         acc4 = p0 + d1;
-         p1 = b1 * Xn4;
-         p3 = a1 * acc4;
-         p2 = b2 * Xn4;
-         A1 = p1 + p3;
-         p4 = a2 * acc4;
-         d1 = A1 + d2;
-         d2 = p2 + p4;
-
-         pOut[0] = acc1;	
-         pOut[1] = acc2;	
-         pOut[2] = acc3;	
-         pOut[3] = acc4;
-				 pOut += 4;
-				 
-         sample--;	       
-      }
-
-      sample = blockSize & 0x3u;
-      while(sample > 0u) {
-         Xn1 = *pIn++;
-
-         p0 = b0 * Xn1; 
-         p1 = b1 * Xn1;
-         acc1 = p0 + d1;
-         p3 = a1 * acc1;
-         p2 = b2 * Xn1;
-         A1 = p1 + p3;
-         p4 = a2 * acc1;
-         d1 = A1 + d2;
-         d2 = p2 + p4;
-	
-         *pOut++ = acc1;
-         
-         sample--;	       
-      }
-
-      /* Store the updated state variables back into the state array */
-      *pState++ = d1;
-      *pState++ = d2;
-
-      /* The current stage input is given as the output to the next stage */
-      pIn = pDst;
-
-      /*Reset the output working pointer */
-      pOut = pDst;
-
-      /* decrement the loop counter */
-      stage--;
-
-   } while(stage > 0u);
-
-#endif 
-
-}
-LOW_OPTIMIZATION_EXIT
-
-/**       
-   * @} end of BiquadCascadeDF2T group       
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
deleted file mode 100644
index d9011fea..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
+++ /dev/null
@@ -1,102 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_biquad_cascade_df2T_init_f32.c    
-*    
-* Description:  Initialization function for the floating-point transposed   
-*               direct form II Biquad cascade filter.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF2T    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.   
- * @param[in,out] *S           points to an instance of the filter data structure.   
- * @param[in]     numStages    number of 2nd order stages in the filter.   
- * @param[in]     *pCoeffs     points to the filter coefficients.   
- * @param[in]     *pState      points to the state buffer.   
- * @return        none   
- *    
- * Coefficient and State Ordering:    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
- * 
    
- *    
- * \par    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 5*numStages values.    
- *    
- * \par    
- * The pState is a pointer to state array.    
- * Each Biquad stage has 2 state variables d1, and d2.    
- * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.    
- * The state array has a total length of 2*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- */
-
-void arm_biquad_cascade_df2T_init_f32(
-  arm_biquad_cascade_df2T_instance_f32 * S,
-  uint8_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 2 * numStages */
-  memset(pState, 0, (2u * (uint32_t) numStages) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF2T group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
deleted file mode 100644
index c6065e92..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
+++ /dev/null
@@ -1,102 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_biquad_cascade_df2T_init_f64.c    
-*    
-* Description:  Initialization function for the floating-point transposed   
-*               direct form II Biquad cascade filter.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF2T    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.   
- * @param[in,out] *S           points to an instance of the filter data structure.   
- * @param[in]     numStages    number of 2nd order stages in the filter.   
- * @param[in]     *pCoeffs     points to the filter coefficients.   
- * @param[in]     *pState      points to the state buffer.   
- * @return        none   
- *    
- * Coefficient and State Ordering:    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
- * 
    
- *    
- * \par    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 5*numStages values.    
- *    
- * \par    
- * The pState is a pointer to state array.    
- * Each Biquad stage has 2 state variables d1, and d2.    
- * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.    
- * The state array has a total length of 2*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- */
-
-void arm_biquad_cascade_df2T_init_f64(
-  arm_biquad_cascade_df2T_instance_f64 * S,
-  uint8_t numStages,
-  float64_t * pCoeffs,
-  float64_t * pState)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 2 * numStages */
-  memset(pState, 0, (2u * (uint32_t) numStages) * sizeof(float64_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF2T group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c
deleted file mode 100644
index 48119736..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c
+++ /dev/null
@@ -1,683 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_stereo_df2T_f32.c    
-*    
-* Description:  Processing function for the floating-point transposed    
-*               direct form II Biquad cascade filter. 2 channels  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**       
-* @ingroup groupFilters       
-*/
-
-/**       
-* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure       
-*       
-* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.       
-* The filters are implemented as a cascade of second order Biquad sections.       
-* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.      
-* Only floating-point data is supported.       
-*       
-* This function operate on blocks of input and output data and each call to the function       
-* processes blockSize samples through the filter.       
-* pSrc points to the array of input data and       
-* pDst points to the array of output data.       
-* Both arrays contain blockSize values.       
-*       
-* \par Algorithm       
-* Each Biquad stage implements a second order filter using the difference equation:       
-* 
       
-*    y[n] = b0 * x[n] + d1       
-*    d1 = b1 * x[n] + a1 * y[n] + d2       
-*    d2 = b2 * x[n] + a2 * y[n]       
-* 
       
-* where d1 and d2 represent the two state values.       
-*       
-* \par       
-* A Biquad filter using a transposed Direct Form II structure is shown below.       
-* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad"       
-* Coefficients b0, b1, and b2  multiply the input signal x[n] and are referred to as the feedforward coefficients.       
-* Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.       
-* Pay careful attention to the sign of the feedback coefficients.       
-* Some design tools flip the sign of the feedback coefficients:       
-* 
       
-*    y[n] = b0 * x[n] + d1;       
-*    d1 = b1 * x[n] - a1 * y[n] + d2;       
-*    d2 = b2 * x[n] - a2 * y[n];       
-* 
       
-* In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library.       
-*       
-* \par       
-* Higher order filters are realized as a cascade of second order sections.       
-* numStages refers to the number of second order stages used.       
-* For example, an 8th order filter would be realized with numStages=4 second order stages.       
-* A 9th order filter would be realized with numStages=5 second order stages with the       
-* coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).       
-*       
-* \par       
-* pState points to the state variable array.       
-* Each Biquad stage has 2 state variables d1 and d2.       
-* The state variables are arranged in the pState array as:       
-* 
       
-*     {d11, d12, d21, d22, ...}       
-* 
       
-* where d1x refers to the state variables for the first Biquad and       
-* d2x refers to the state variables for the second Biquad.       
-* The state array has a total length of 2*numStages values.       
-* The state variables are updated after each block of data is processed; the coefficients are untouched.       
-*       
-* \par       
-* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.    
-* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.    
-* That is why the Direct Form I structure supports Q15 and Q31 data types.    
-* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables d1 and d2.    
-* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.    
-* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.    
-*       
-* \par Instance Structure       
-* The coefficients and state variables for a filter are stored together in an instance data structure.       
-* A separate instance structure must be defined for each filter.       
-* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.       
-*       
-* \par Init Functions       
-* There is also an associated initialization function.      
-* The initialization function performs following operations:       
-* - Sets the values of the internal structure fields.       
-* - Zeros out the values in the state buffer.       
-* To do this manually without calling the init function, assign the follow subfields of the instance structure:
-* numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
-*       
-* \par       
-* Use of the initialization function is optional.       
-* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.       
-* To place an instance structure into a const data section, the instance structure must be manually initialized.       
-* Set the values in the state buffer to zeros before static initialization.       
-* For example, to statically initialize the instance structure use       
-* 
       
-*     arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};       
-* 
       
-* where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer.       
-* pCoeffs is the address of the coefficient buffer;        
-*       
-*/
-
-/**       
-* @addtogroup BiquadCascadeDF2T       
-* @{       
-*/
-
-/**      
-* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.      
-* @param[in]  *S        points to an instance of the filter data structure.      
-* @param[in]  *pSrc     points to the block of input data.      
-* @param[out] *pDst     points to the block of output data      
-* @param[in]  blockSize number of samples to process.      
-* @return none.      
-*/
-
-
-LOW_OPTIMIZATION_ENTER
-void arm_biquad_cascade_stereo_df2T_f32(
-const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
-float32_t * pSrc,
-float32_t * pDst,
-uint32_t blockSize)
-{
-
-    float32_t *pIn = pSrc;                         /*  source pointer            */
-    float32_t *pOut = pDst;                        /*  destination pointer       */
-    float32_t *pState = S->pState;                 /*  State pointer             */
-    float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
-    float32_t acc1a, acc1b;                        /*  accumulator               */
-    float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
-    float32_t Xn1a, Xn1b;                          /*  temporary input           */
-    float32_t d1a, d2a, d1b, d2b;                  /*  state variables           */
-    uint32_t sample, stage = S->numStages;         /*  loop counters             */
-
-#if defined(ARM_MATH_CM7)
-	
-    float32_t Xn2a, Xn3a, Xn4a, Xn5a, Xn6a, Xn7a, Xn8a;         /*  Input State variables     */
-    float32_t Xn2b, Xn3b, Xn4b, Xn5b, Xn6b, Xn7b, Xn8b;         /*  Input State variables     */
-    float32_t acc2a, acc3a, acc4a, acc5a, acc6a, acc7a, acc8a;  /*  Simulates the accumulator */
-    float32_t acc2b, acc3b, acc4b, acc5b, acc6b, acc7b, acc8b;  /*  Simulates the accumulator */
-
-    do
-    {
-        /* Reading the coefficients */ 
-        b0 = pCoeffs[0]; 
-        b1 = pCoeffs[1]; 
-        b2 = pCoeffs[2]; 
-        a1 = pCoeffs[3]; 
-        /* Apply loop unrolling and compute 8 output values simultaneously. */ 
-        sample = blockSize >> 3u; 
-        a2 = pCoeffs[4]; 
-
-        /*Reading the state values */ 
-        d1a = pState[0]; 
-        d2a = pState[1]; 
-        d1b = pState[2]; 
-        d2b = pState[3]; 
-
-        pCoeffs += 5u;
-
-        /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.       
-        ** a second loop below computes the remaining 1 to 7 samples. */
-        while(sample > 0u) {
-
-            /* y[n] = b0 * x[n] + d1 */
-            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-            /* d2 = b2 * x[n] + a2 * y[n] */
-
-            /* Read the first 2 inputs. 2 cycles */
-            Xn1a  = pIn[0 ];
-            Xn1b  = pIn[1 ];
-
-            /* Sample 1. 5 cycles */
-            Xn2a  = pIn[2 ];
-            acc1a = b0 * Xn1a + d1a;
-
-            Xn2b  = pIn[3 ];
-            d1a = b1 * Xn1a + d2a;
-
-            Xn3a  = pIn[4 ];
-            d2a = b2 * Xn1a;
-
-            Xn3b  = pIn[5 ];
-            d1a += a1 * acc1a;
-
-            Xn4a  = pIn[6 ];
-            d2a += a2 * acc1a;
-
-            /* Sample 2. 5 cycles */
-            Xn4b  = pIn[7 ];
-            acc1b = b0 * Xn1b + d1b;
-
-            Xn5a  = pIn[8 ];
-            d1b = b1 * Xn1b + d2b;
-
-            Xn5b = pIn[9 ];
-            d2b = b2 * Xn1b;
-
-            Xn6a = pIn[10];
-            d1b += a1 * acc1b;
-
-            Xn6b = pIn[11];
-            d2b += a2 * acc1b;
-
-            /* Sample 3. 5 cycles */
-            Xn7a = pIn[12];
-            acc2a = b0 * Xn2a + d1a;
-
-            Xn7b = pIn[13];
-            d1a = b1 * Xn2a + d2a;
-
-            Xn8a = pIn[14];
-            d2a = b2 * Xn2a;
-
-            Xn8b = pIn[15];
-            d1a += a1 * acc2a;
-
-            pIn += 16;
-            d2a += a2 * acc2a;
-
-            /* Sample 4. 5 cycles */
-            acc2b = b0 * Xn2b + d1b;
-            d1b = b1 * Xn2b + d2b;
-            d2b = b2 * Xn2b;
-            d1b += a1 * acc2b;
-            d2b += a2 * acc2b;
-
-            /* Sample 5. 5 cycles */
-            acc3a = b0 * Xn3a + d1a;
-            d1a = b1 * Xn3a + d2a;
-            d2a = b2 * Xn3a;
-            d1a += a1 * acc3a;
-            d2a += a2 * acc3a;
-
-            /* Sample 6. 5 cycles */
-            acc3b = b0 * Xn3b + d1b;
-            d1b = b1 * Xn3b + d2b;
-            d2b = b2 * Xn3b;
-            d1b += a1 * acc3b;
-            d2b += a2 * acc3b;
-
-            /* Sample 7. 5 cycles */
-            acc4a = b0 * Xn4a + d1a;
-            d1a = b1 * Xn4a + d2a;
-            d2a = b2 * Xn4a;
-            d1a += a1 * acc4a;
-            d2a += a2 * acc4a;
-
-            /* Sample 8. 5 cycles */
-            acc4b = b0 * Xn4b + d1b;
-            d1b = b1 * Xn4b + d2b;
-            d2b = b2 * Xn4b;
-            d1b += a1 * acc4b;
-            d2b += a2 * acc4b;
-
-            /* Sample 9. 5 cycles */
-            acc5a = b0 * Xn5a + d1a;
-            d1a = b1 * Xn5a + d2a;
-            d2a = b2 * Xn5a;
-            d1a += a1 * acc5a;
-            d2a += a2 * acc5a;
-
-            /* Sample 10. 5 cycles */
-            acc5b = b0 * Xn5b + d1b;
-            d1b = b1 * Xn5b + d2b;
-            d2b = b2 * Xn5b;
-            d1b += a1 * acc5b;
-            d2b += a2 * acc5b;
-
-            /* Sample 11. 5 cycles */
-            acc6a = b0 * Xn6a + d1a;
-            d1a = b1 * Xn6a + d2a;
-            d2a = b2 * Xn6a;
-            d1a += a1 * acc6a;
-            d2a += a2 * acc6a;
-
-            /* Sample 12. 5 cycles */
-            acc6b = b0 * Xn6b + d1b;
-            d1b = b1 * Xn6b + d2b;
-            d2b = b2 * Xn6b;
-            d1b += a1 * acc6b;
-            d2b += a2 * acc6b;
-
-            /* Sample 13. 5 cycles */
-            acc7a = b0 * Xn7a + d1a;         
-            d1a = b1 * Xn7a + d2a;   
-            
-            pOut[0 ] = acc1a ;      
-            d2a = b2 * Xn7a;
-
-            pOut[1 ] = acc1b ;	
-            d1a += a1 * acc7a;
-
-            pOut[2 ] = acc2a ;	
-            d2a += a2 * acc7a;
-
-            /* Sample 14. 5 cycles */
-            pOut[3 ] = acc2b ;
-            acc7b = b0 * Xn7b + d1b;
-
-            pOut[4 ] = acc3a ; 
-            d1b = b1 * Xn7b + d2b;
-
-            pOut[5 ] = acc3b ;	
-            d2b = b2 * Xn7b;
-
-            pOut[6 ] = acc4a ;	  
-            d1b += a1 * acc7b;
-
-            pOut[7 ] = acc4b ;
-            d2b += a2 * acc7b;
-
-            /* Sample 15. 5 cycles */
-            pOut[8 ] = acc5a ;  
-            acc8a = b0 * Xn8a + d1a;
-
-            pOut[9 ] = acc5b;	
-            d1a = b1 * Xn8a + d2a;
-
-            pOut[10] = acc6a;	
-            d2a = b2 * Xn8a;
-
-            pOut[11] = acc6b;
-            d1a += a1 * acc8a;
-
-            pOut[12] = acc7a;
-            d2a += a2 * acc8a;
-
-            /* Sample 16. 5 cycles */
-            pOut[13] = acc7b;	
-            acc8b = b0 * Xn8b + d1b;
-
-            pOut[14] = acc8a;	
-            d1b = b1 * Xn8b + d2b;
-
-            pOut[15] = acc8b;
-            d2b = b2 * Xn8b;
-
-            sample--;	 
-            d1b += a1 * acc8b;
-
-            pOut += 16;
-            d2b += a2 * acc8b;
-        }
-
-        sample = blockSize & 0x7u;
-        while(sample > 0u) {
-            /* Read the input */
-            Xn1a = *pIn++; //Channel a
-            Xn1b = *pIn++; //Channel b
-
-            /* y[n] = b0 * x[n] + d1 */
-            acc1a = (b0 * Xn1a) + d1a;
-            acc1b = (b0 * Xn1b) + d1b;
-
-            /* Store the result in the accumulator in the destination buffer. */
-            *pOut++ = acc1a;
-            *pOut++ = acc1b;
-
-            /* Every time after the output is computed state should be updated. */
-            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-            d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
-            d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
-
-            /* d2 = b2 * x[n] + a2 * y[n] */
-            d2a = (b2 * Xn1a) + (a2 * acc1a);
-            d2b = (b2 * Xn1b) + (a2 * acc1b);
-
-            sample--;	
-        }
-
-        /* Store the updated state variables back into the state array */ 
-        pState[0] = d1a; 
-        pState[1] = d2a;         
-
-        pState[2] = d1b; 
-        pState[3] = d2b; 
-        
-        /* The current stage input is given as the output to the next stage */ 
-        pIn = pDst; 
-        /* decrement the loop counter */ 
-        stage--; 
-
-        pState += 4u;
-        /*Reset the output working pointer */ 
-        pOut = pDst; 
-
-    } while(stage > 0u);
-	
-#elif defined(ARM_MATH_CM0_FAMILY)
-
-    /* Run the below code for Cortex-M0 */
-
-    do
-    {
-        /* Reading the coefficients */
-        b0 = *pCoeffs++;
-        b1 = *pCoeffs++;
-        b2 = *pCoeffs++;
-        a1 = *pCoeffs++;
-        a2 = *pCoeffs++;
-
-        /*Reading the state values */
-        d1a = pState[0];
-        d2a = pState[1];
-        d1b = pState[2];
-        d2b = pState[3];
-
-
-        sample = blockSize;
-
-        while(sample > 0u)
-        {
-            /* Read the input */
-            Xn1a = *pIn++; //Channel a
-            Xn1b = *pIn++; //Channel b
-
-            /* y[n] = b0 * x[n] + d1 */
-            acc1a = (b0 * Xn1a) + d1a;
-            acc1b = (b0 * Xn1b) + d1b;
-
-            /* Store the result in the accumulator in the destination buffer. */
-            *pOut++ = acc1a;
-            *pOut++ = acc1b;
-
-            /* Every time after the output is computed state should be updated. */
-            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-            d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
-            d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
-
-            /* d2 = b2 * x[n] + a2 * y[n] */
-            d2a = (b2 * Xn1a) + (a2 * acc1a);
-            d2b = (b2 * Xn1b) + (a2 * acc1b);
-
-            /* decrement the loop counter */
-            sample--;
-        }
-
-        /* Store the updated state variables back into the state array */
-        *pState++ = d1a;
-        *pState++ = d2a;
-        *pState++ = d1b;
-        *pState++ = d2b;
-
-        /* The current stage input is given as the output to the next stage */
-        pIn = pDst;
-
-        /*Reset the output working pointer */
-        pOut = pDst;
-
-        /* decrement the loop counter */
-        stage--;
-
-    } while(stage > 0u);
-	 
-#else
-
-    float32_t Xn2a, Xn3a, Xn4a;                          /*  Input State variables     */
-    float32_t Xn2b, Xn3b, Xn4b;                          /*  Input State variables     */
-    float32_t acc2a, acc3a, acc4a;                       /*  accumulator               */
-    float32_t acc2b, acc3b, acc4b;                       /*  accumulator               */
-    float32_t p0a, p1a, p2a, p3a, p4a, A1a;
-    float32_t p0b, p1b, p2b, p3b, p4b, A1b;
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-    do
-    {
-        /* Reading the coefficients */     
-        b0 = *pCoeffs++;
-        b1 = *pCoeffs++;
-        b2 = *pCoeffs++;
-        a1 = *pCoeffs++;
-        a2 = *pCoeffs++;      
-
-        /*Reading the state values */
-        d1a = pState[0];
-        d2a = pState[1];
-        d1b = pState[2];
-        d2b = pState[3];
-
-        /* Apply loop unrolling and compute 4 output values simultaneously. */
-        sample = blockSize >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
-        ** a second loop below computes the remaining 1 to 3 samples. */
-        while(sample > 0u) {
-
-            /* y[n] = b0 * x[n] + d1 */
-            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-            /* d2 = b2 * x[n] + a2 * y[n] */
-
-            /* Read the four inputs */
-            Xn1a = pIn[0];
-            Xn1b = pIn[1];
-            Xn2a = pIn[2];
-            Xn2b = pIn[3];
-            Xn3a = pIn[4];
-            Xn3b = pIn[5];
-            Xn4a = pIn[6];
-            Xn4b = pIn[7];
-            pIn += 8;     
-            
-            p0a = b0 * Xn1a; 
-            p0b = b0 * Xn1b; 
-            p1a = b1 * Xn1a;
-            p1b = b1 * Xn1b;
-            acc1a = p0a + d1a;
-            acc1b = p0b + d1b;
-            p0a = b0 * Xn2a; 
-            p0b = b0 * Xn2b; 
-            p3a = a1 * acc1a;
-            p3b = a1 * acc1b;
-            p2a = b2 * Xn1a;
-            p2b = b2 * Xn1b;
-            A1a = p1a + p3a;
-            A1b = p1b + p3b;
-            p4a = a2 * acc1a;
-            p4b = a2 * acc1b;
-            d1a = A1a + d2a;
-            d1b = A1b + d2b;
-            d2a = p2a + p4a;
-            d2b = p2b + p4b;
-            
-            p1a = b1 * Xn2a;
-            p1b = b1 * Xn2b;
-            acc2a = p0a + d1a;
-            acc2b = p0b + d1b;
-            p0a = b0 * Xn3a; 
-            p0b = b0 * Xn3b; 
-            p3a = a1 * acc2a;
-            p3b = a1 * acc2b;
-            p2a = b2 * Xn2a;
-            p2b = b2 * Xn2b;
-            A1a = p1a + p3a;
-            A1b = p1b + p3b;
-            p4a = a2 * acc2a;
-            p4b = a2 * acc2b;
-            d1a = A1a + d2a;
-            d1b = A1b + d2b;
-            d2a = p2a + p4a;
-            d2b = p2b + p4b;
-            
-            p1a = b1 * Xn3a;
-            p1b = b1 * Xn3b;
-            acc3a = p0a + d1a;
-            acc3b = p0b + d1b;
-            p0a = b0 * Xn4a; 
-            p0b = b0 * Xn4b; 
-            p3a = a1 * acc3a;
-            p3b = a1 * acc3b;
-            p2a = b2 * Xn3a;
-            p2b = b2 * Xn3b;
-            A1a = p1a + p3a;
-            A1b = p1b + p3b;
-            p4a = a2 * acc3a;
-            p4b = a2 * acc3b;
-            d1a = A1a + d2a;
-            d1b = A1b + d2b;
-            d2a = p2a + p4a;
-            d2b = p2b + p4b;
-            
-            acc4a = p0a + d1a;
-            acc4b = p0b + d1b;
-            p1a = b1 * Xn4a;
-            p1b = b1 * Xn4b;
-            p3a = a1 * acc4a;
-            p3b = a1 * acc4b;
-            p2a = b2 * Xn4a;
-            p2b = b2 * Xn4b;
-            A1a = p1a + p3a;
-            A1b = p1b + p3b;
-            p4a = a2 * acc4a;
-            p4b = a2 * acc4b;
-            d1a = A1a + d2a;
-            d1b = A1b + d2b;
-            d2a = p2a + p4a;
-            d2b = p2b + p4b;
-
-            pOut[0] = acc1a;	
-            pOut[1] = acc1b;	
-            pOut[2] = acc2a;	
-            pOut[3] = acc2b;
-            pOut[4] = acc3a;	
-            pOut[5] = acc3b;	
-            pOut[6] = acc4a;	
-            pOut[7] = acc4b;
-            pOut += 8;
-             
-            sample--;	       
-        }
-
-        sample = blockSize & 0x3u;
-        while(sample > 0u) {
-            Xn1a = *pIn++;
-            Xn1b = *pIn++;
-
-            p0a = b0 * Xn1a; 
-            p0b = b0 * Xn1b; 
-            p1a = b1 * Xn1a;
-            p1b = b1 * Xn1b;
-            acc1a = p0a + d1a;
-            acc1b = p0b + d1b;
-            p3a = a1 * acc1a;
-            p3b = a1 * acc1b;
-            p2a = b2 * Xn1a;
-            p2b = b2 * Xn1b;
-            A1a = p1a + p3a;
-            A1b = p1b + p3b;
-            p4a = a2 * acc1a;
-            p4b = a2 * acc1b;
-            d1a = A1a + d2a;
-            d1b = A1b + d2b;
-            d2a = p2a + p4a;
-            d2b = p2b + p4b;
-
-            *pOut++ = acc1a;
-            *pOut++ = acc1b;
-
-            sample--;	       
-        }
-
-        /* Store the updated state variables back into the state array */
-        *pState++ = d1a;
-        *pState++ = d2a;
-        *pState++ = d1b;
-        *pState++ = d2b;
-
-        /* The current stage input is given as the output to the next stage */
-        pIn = pDst;
-
-        /*Reset the output working pointer */
-        pOut = pDst;
-
-        /* decrement the loop counter */
-        stage--;
-
-    } while(stage > 0u);
-
-#endif 
-
-}
-LOW_OPTIMIZATION_EXIT
-
-/**       
-   * @} end of BiquadCascadeDF2T group       
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
deleted file mode 100644
index b19587a0..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
+++ /dev/null
@@ -1,102 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_biquad_cascade_stereo_df2T_init_f32.c    
-*    
-* Description:  Initialization function for the floating-point transposed   
-*               direct form II Biquad cascade filter.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF2T    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.   
- * @param[in,out] *S           points to an instance of the filter data structure.   
- * @param[in]     numStages    number of 2nd order stages in the filter.   
- * @param[in]     *pCoeffs     points to the filter coefficients.   
- * @param[in]     *pState      points to the state buffer.   
- * @return        none   
- *    
- * Coefficient and State Ordering:    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
- * 
    
- *    
- * \par    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 5*numStages values.    
- *    
- * \par    
- * The pState is a pointer to state array.    
- * Each Biquad stage has 2 state variables d1, and d2 for each channel.    
- * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.    
- * The state array has a total length of 2*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- */
-
-void arm_biquad_cascade_stereo_df2T_init_f32(
-  arm_biquad_cascade_stereo_df2T_instance_f32 * S,
-  uint8_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 4 * numStages */
-  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF2T group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_f32.c
deleted file mode 100644
index 1fdc6a17..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_f32.c
+++ /dev/null
@@ -1,647 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_f32.c    
-*    
-* Description:	Convolution of floating-point sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup Conv Convolution    
- *    
- * Convolution is a mathematical operation that operates on two finite length vectors to generate a finite length output vector.    
- * Convolution is similar to correlation and is frequently used in filtering and data analysis.    
- * The CMSIS DSP library contains functions for convolving Q7, Q15, Q31, and floating-point data types.    
- * The library also provides fast versions of the Q15 and Q31 functions on Cortex-M4 and Cortex-M3.    
- *    
- * \par Algorithm    
- * Let a[n] and b[n] be sequences of length srcALen and srcBLen samples respectively.    
- * Then the convolution    
- *    
- * 
    
- *                   c[n] = a[n] * b[n]    
- * 
    
- *    
- * \par    
- * is defined as    
- * \image html ConvolutionEquation.gif    
- * \par    
- * Note that c[n] is of length srcALen + srcBLen - 1 and is defined over the interval n=0, 1, 2, ..., srcALen + srcBLen - 2.    
- * pSrcA points to the first input vector of length srcALen and    
- * pSrcB points to the second input vector of length srcBLen.    
- * The output result is written to pDst and the calling function must allocate srcALen+srcBLen-1 words for the result.    
- *    
- * \par    
- * Conceptually, when two signals a[n] and b[n] are convolved,    
- * the signal b[n] slides over a[n].    
- * For each offset \c n, the overlapping portions of a[n] and b[n] are multiplied and summed together.    
- *    
- * \par    
- * Note that convolution is a commutative operation:    
- *    
- * 
    
- *                   a[n] * b[n] = b[n] * a[n].    
- * 
    
- *    
- * \par    
- * This means that switching the A and B arguments to the convolution functions has no effect.    
- *    
- * Fixed-Point Behavior    
- *    
- * \par    
- * Convolution requires summing up a large number of intermediate products.    
- * As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.    
- * Refer to the function specific documentation below for further details of the particular algorithm used.    
- *
- *
- * Fast Versions
- *
- * \par 
- * Fast versions are supported for Q31 and Q15.  Cycles for Fast versions are less compared to Q31 and Q15 of conv and the design requires
- * the input signals should be scaled down to avoid intermediate overflows.   
- *
- *
- * Opt Versions
- *
- * \par 
- * Opt versions are supported for Q15 and Q7.  Design uses internal scratch buffer for getting good optimisation.
- * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions 
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @brief Convolution of floating-point sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @return none.    
- */
-
-void arm_conv_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst)
-{
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t *pIn1;                               /* inputA pointer */
-  float32_t *pIn2;                               /* inputB pointer */
-  float32_t *pOut = pDst;                        /* output pointer */
-  float32_t *px;                                 /* Intermediate inputA pointer */
-  float32_t *py;                                 /* Intermediate inputB pointer */
-  float32_t *pSrc1, *pSrc2;                      /* Intermediate pointers */
-  float32_t sum, acc0, acc1, acc2, acc3;         /* Accumulator */
-  float32_t x0, x1, x2, x3, c0;                  /* Temporary variables to hold state and coefficient values */
-  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counters */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally    
-   * divided into three stages according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first stage of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-   * In the third stage of the algorithm, the multiplications decrease by one    
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.    
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]    
-   * sum = x[0] * y[1] + x[1] * y[0]    
-   * ....    
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0.0f;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 1] */
-      sum += *px++ * *py--;
-
-      /* x[1] * y[srcBLen - 2] */
-      sum += *px++ * *py--;
-
-      /* x[2] * y[srcBLen - 3] */
-      sum += *px++ * *py--;
-
-      /* x[3] * y[srcBLen - 4] */
-      sum += *px++ * *py--;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += *px++ * *py--;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0.0f;
-      acc1 = 0.0f;
-      acc2 = 0.0f;
-      acc3 = 0.0f;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-      x2 = *(px++);
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[srcBLen - 1] sample */
-        c0 = *(py--);
-
-        /* Read x[3] sample */
-        x3 = *(px);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[0] * y[srcBLen - 1] */
-        acc0 += x0 * c0;
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] */
-        acc1 += x1 * c0;
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] */
-        acc2 += x2 * c0;
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] */
-        acc3 += x3 * c0;
-
-        /* Read y[srcBLen - 2] sample */
-        c0 = *(py--);
-
-        /* Read x[4] sample */
-        x0 = *(px + 1u);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[1] * y[srcBLen - 2] */
-        acc0 += x1 * c0;
-        /* acc1 +=  x[2] * y[srcBLen - 2] */
-        acc1 += x2 * c0;
-        /* acc2 +=  x[3] * y[srcBLen - 2] */
-        acc2 += x3 * c0;
-        /* acc3 +=  x[4] * y[srcBLen - 2] */
-        acc3 += x0 * c0;
-
-        /* Read y[srcBLen - 3] sample */
-        c0 = *(py--);
-
-        /* Read x[5] sample */
-        x1 = *(px + 2u);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[srcBLen - 3] */
-        acc0 += x2 * c0;
-        /* acc1 +=  x[3] * y[srcBLen - 2] */
-        acc1 += x3 * c0;
-        /* acc2 +=  x[4] * y[srcBLen - 2] */
-        acc2 += x0 * c0;
-        /* acc3 +=  x[5] * y[srcBLen - 2] */
-        acc3 += x1 * c0;
-
-        /* Read y[srcBLen - 4] sample */
-        c0 = *(py--);
-
-        /* Read x[6] sample */
-        x2 = *(px + 3u);
-        px += 4u;
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[3] * y[srcBLen - 4] */
-        acc0 += x3 * c0;
-        /* acc1 +=  x[4] * y[srcBLen - 4] */
-        acc1 += x0 * c0;
-        /* acc2 +=  x[5] * y[srcBLen - 4] */
-        acc2 += x1 * c0;
-        /* acc3 +=  x[6] * y[srcBLen - 4] */
-        acc3 += x2 * c0;
-
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[srcBLen - 5] sample */
-        c0 = *(py--);
-
-        /* Read x[7] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[srcBLen - 5] */
-        acc0 += x0 * c0;
-        /* acc1 +=  x[5] * y[srcBLen - 5] */
-        acc1 += x1 * c0;
-        /* acc2 +=  x[6] * y[srcBLen - 5] */
-        acc2 += x2 * c0;
-        /* acc3 +=  x[7] * y[srcBLen - 5] */
-        acc3 += x3 * c0;
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc0;
-      *pOut++ = acc1;
-      *pOut++ = acc2;
-      *pOut++ = acc3;
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += *px++ * *py--;
-        sum += *px++ * *py--;
-        sum += *px++ * *py--;
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-   * sum +=  x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0.0f;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-      sum += *px++ * *py--;
-
-      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-      sum += *px++ * *py--;
-
-      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-      sum += *px++ * *py--;
-
-      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-      sum += *px++ * *py--;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-      sum += *px++ * *py--;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
-  float32_t *pIn2 = pSrcB;                       /* inputB pointer */
-  float32_t sum;                                 /* Accumulator */
-  uint32_t i, j;                                 /* loop counters */
-
-  /* Loop to calculate convolution for output length number of times */
-  for (i = 0u; i < ((srcALen + srcBLen) - 1u); i++)
-  {
-    /* Initialize sum with zero to carry out MAC operations */
-    sum = 0.0f;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0u; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if((((i - j) < srcBLen) && (j < srcALen)))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += pIn1[j] * pIn2[i - j];
-      }
-    }
-    /* Store the output in the destination buffer */
-    pDst[i] = sum;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY        */
-
-}
-
-/**    
- * @} end of Conv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_opt_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_opt_q15.c
deleted file mode 100644
index 70f1bfc1..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_opt_q15.c
+++ /dev/null
@@ -1,543 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_fast_opt_q15.c    
-*    
-* Description:	Fast Q15 Convolution.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
- * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
- * @return none.    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit    
- *     
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This fast version uses a 32-bit accumulator with 2.30 format.    
- * The accumulator maintains full precision of the intermediate multiplication results    
- * but provides only a single guard bit. There is no saturation on intermediate additions.    
- * Thus, if the accumulator overflows it wraps around and distorts the result.    
- * The input signals should be scaled down to avoid intermediate overflows.    
- * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,    
- * as maximum of min(srcALen, srcBLen) number of additions are carried internally.    
- * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.    
- *    
- * \par    
- * See arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.    
- */
-
-void arm_conv_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
-  q31_t y1, y2;                                  /* State variables */
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  uint32_t tapCnt;                               /* loop count */
-#ifdef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t a, b;
-
-#endif	/*	#ifdef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* Pointer to take end of scratch2 buffer */
-  pScr2 = pScratch2 + srcBLen - 1;
-
-  /* points to smaller length sequence */
-  px = pIn2;
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcBLen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-
-  /* Copy smaller length input sequence in reverse order into second scratch buffer */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcBLen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr2-- = *px++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* Initialze temporary scratch pointer */
-  pScr1 = pScratch1;
-
-  /* Assuming scratch1 buffer is aligned by 32-bit */
-  /* Fill (srcBLen - 1u) zeros in scratch1 buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr1 += (srcBLen - 1u);
-
-  /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Copy (srcALen) samples in scratch buffer */
-  arm_copy_q15(pIn1, pScr1, srcALen);
-
-  /* Update pointers */
-  pScr1 += srcALen;
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcALen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr1 += (srcBLen - 1u);
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = (srcBLen - 1u) % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* Temporary pointer for scratch2 */
-  py = pScratch2;
-
-
-  /* Initialization of pIn2 pointer */
-  pIn2 = py;
-
-  /* First part of the processing with loop unrolling process 4 data points at a time.       
-   ** a second loop below process for the remaining 1 to 3 samples. */
-
-  /* Actual convolution process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read two samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr1)++;
-
-    /* Read next two samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr1)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pIn2);
-      y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-      /* multiply and accumlate */
-      acc0 = __SMLAD(x1, y1, acc0);
-      acc2 = __SMLAD(x2, y1, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      /* multiply and accumlate */
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      /* Read next two samples from scratch1 buffer */
-      x1 = _SIMD32_OFFSET(pScr1);
-
-      /* multiply and accumlate */
-      acc0 = __SMLAD(x2, y2, acc0);
-      acc2 = __SMLAD(x1, y2, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-      acc1 = __SMLADX(x3, y2, acc1);
-
-      x2 = _SIMD32_OFFSET(pScr1 + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y2, acc3);
-
-#else	 
-
-      /* Read four samples from smaller buffer */
-	  a = *pIn2;
-	  b = *(pIn2 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      y1 = __PKHBT(a, b, 16);
-#else
-      y1 = __PKHBT(b, a, 16);
-#endif
-	  
-	  a = *(pIn2 + 2);
-	  b = *(pIn2 + 3);
-#ifndef ARM_MATH_BIG_ENDIAN
-      y2 = __PKHBT(a, b, 16);
-#else
-      y2 = __PKHBT(b, a, 16);
-#endif				
-
-      acc0 = __SMLAD(x1, y1, acc0);
-
-      acc2 = __SMLAD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLADX(x3, y1, acc1);
-
-	  a = *pScr1;
-	  b = *(pScr1 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(a, b, 16);
-#else
-      x1 = __PKHBT(b, a, 16);
-#endif
-
-      acc0 = __SMLAD(x2, y2, acc0);
-
-      acc2 = __SMLAD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      acc1 = __SMLADX(x3, y2, acc1);
-
-	  a = *(pScr1 + 2);
-	  b = *(pScr1 + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x2 = __PKHBT(a, b, 16);
-#else
-      x2 = __PKHBT(b, a, 16);
-#endif
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y2, acc3);
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      /* update scratch pointers */
-      pIn2 += 4u;
-      pScr1 += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr1 -= 4u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pIn2);
-      acc1 += (*pScr1++ * *pIn2);
-      acc2 += (*pScr1++ * *pIn2);
-      acc3 += (*pScr1++ * *pIn2++);
-
-      pScr1 -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-
-    /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-
-#else
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch1 += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate convolution for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-
-      acc0 += (*pScr1++ * *pIn2++);
-      acc0 += (*pScr1++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the output in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch1 += 1u;
-
-  }
-
-}
-
-/**    
- * @} end of Conv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q15.c
deleted file mode 100644
index 44f19bb6..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q15.c
+++ /dev/null
@@ -1,1410 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_fast_q15.c   
-*   
-* Description:	Fast Q15 Convolution.   
-*   
-* Target Processor: Cortex-M4/Cortex-M3
-* 
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Conv   
- * @{   
- */
-
-/**   
- * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.   
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.   
- * @return none.   
- *   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * This fast version uses a 32-bit accumulator with 2.30 format.   
- * The accumulator maintains full precision of the intermediate multiplication results   
- * but provides only a single guard bit. There is no saturation on intermediate additions.   
- * Thus, if the accumulator overflows it wraps around and distorts the result.   
- * The input signals should be scaled down to avoid intermediate overflows.   
- * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,   
- * as maximum of min(srcALen, srcBLen) number of additions are carried internally.   
- * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.   
- *   
- * \par   
- * See arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.   
- */
-
-void arm_conv_fast_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst)
-{
-#ifndef UNALIGNED_SUPPORT_DISABLE
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *pOut = pDst;                            /* output pointer */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
-  uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt;     /* loop counter */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally   
-   * divided into three stages according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first stage of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-   * In the third stage of the algorithm, the multiplications decrease by one   
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.   
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]   
-   * sum = x[0] * y[1] + x[1] * y[0]   
-   * ....   
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations less than 4 */
-  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  while((count < 4u) && (blockSize1 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Loop over number of MAC operations between   
-     * inputA samples and inputB samples */
-    k = count;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLAD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* The second part of the stage starts here */
-  /* The internal loop, over count, is unrolled by 4 */
-  /* To, read the last two inputB samples using SIMD:   
-   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-  py = py - 1;
-
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
-      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-      /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
-      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* For the next MAC operations, the pointer py is used without SIMD   
-     * So, py is incremented by 1 */
-    py = py + 1u;
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLAD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + (count - 1u);
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is the index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-
-  /* --------------------   
-   * Stage2 process   
-   * -------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      py = py - 1u;
-
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-
-      /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-      /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px+1);
-	  px+= 2u;
-
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the last two inputB samples using SIMD:   
-         * y[srcBLen - 1] and y[srcBLen - 2] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-        acc0 = __SMLADX(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-        acc1 = __SMLADX(x1, c0, acc1);
-
-        /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-        /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px+1);
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-        acc2 = __SMLADX(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-        acc3 = __SMLADX(x3, c0, acc3);
-
-        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-        acc0 = __SMLADX(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-        acc1 = __SMLADX(x3, c0, acc1);
-
-        /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px+2);
-
-        /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px+3);
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-        acc2 = __SMLADX(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-        acc3 = __SMLADX(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLADX(x1, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-
-        /* Read y[srcBLen - 7] */
-		c0 = *(py-1);
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-        x3 =  _SIMD32_OFFSET(px+2);
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x1, c0, acc0);
-        acc1 = __SMLAD(x2, c0, acc1);
-        acc2 = __SMLADX(x2, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      /* Store the results in the accumulators in the destination buffer. */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ = __PKHBT((acc0 >> 15), (acc1 >> 15), 16);
-      *__SIMD32(pOut)++ = __PKHBT((acc2 >> 15), (acc3 >> 15), 16);
-
-#else
-
-      *__SIMD32(pOut)++ = __PKHBT((acc1 >> 15), (acc0 >> 15), 16);
-      *__SIMD32(pOut)++ = __PKHBT((acc3 >> 15), (acc2 >> 15), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-   * sum +=  x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  pIn2 = pSrc2 - 1u;
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations greater than 4 */
-  /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  j = blockSize3 >> 2u;
-
-  while((j > 0u) && (blockSize3 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
-       * with y[srcBLen - 1], y[srcBLen - 2] respectively */
-      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-      /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
-       * with y[srcBLen - 3], y[srcBLen - 4] respectively */
-      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* For the next MAC operations, the pointer py is used without SIMD   
-     * So, py is incremented by 1 */
-    py = py + 1u;
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
-      sum = __SMLAD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-
-    j--;
-  }
-
-  /* The second part of the stage starts here */
-  /* SIMD is not used for the next MAC operations,   
-   * so pointer py is updated to read only one sample at a time */
-  py = py + 1u;
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-      sum = __SMLAD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *pOut = pDst;                            /* output pointer */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
-  uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt;     /* loop counter */
-  q15_t a, b;
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally   
-   * divided into three stages according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first stage of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-   * In the third stage of the algorithm, the multiplications decrease by one   
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.   
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]   
-   * sum = x[0] * y[1] + x[1] * y[0]   
-   * ....   
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations less than 4 */
-  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  while((count < 4u) && (blockSize1 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Loop over number of MAC operations between   
-     * inputA samples and inputB samples */
-    k = count;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* The second part of the stage starts here */
-  /* The internal loop, over count, is unrolled by 4 */
-  /* To, read the last two inputB samples using SIMD:   
-   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-  py = py - 1;
-
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-	py++;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + (count - 1u);
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is the index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-
-  /* --------------------   
-   * Stage2 process   
-   * -------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      py = py - 1u;
-
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;	  
-
-      /* read x[0], x[1] samples */
-	  a = *px++;
-	  b = *px++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x0 = __PKHBT(a, b, 16);
-	  a = *px;
-	  x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  x0 = __PKHBT(b, a, 16);
-	  a = *px;
-	  x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the last two inputB samples using SIMD:   
-         * y[srcBLen - 1] and y[srcBLen - 2] */
-		a = *py;
-		b = *(py+1);
-		py -= 2;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-        acc0 = __SMLADX(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-        acc1 = __SMLADX(x1, c0, acc1);
-
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x2 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x3 = __PKHBT(b, a, 16);
-
-#else
-
-	  x2 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x3 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-        acc2 = __SMLADX(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-        acc3 = __SMLADX(x3, c0, acc3);
-
-        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-		a = *py;
-		b = *(py+1);
-		py -= 2;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-        acc0 = __SMLADX(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-        acc1 = __SMLADX(x3, c0, acc1);
-
-        /* Read x[4], x[5], x[6] */
-	  a = *(px + 2);
-	  b = *(px + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x0 = __PKHBT(a, b, 16);
-	  a = *(px + 4);
-	  x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  x0 = __PKHBT(b, a, 16);
-	  a = *(px + 4);
-	  x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-        acc2 = __SMLADX(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-        acc3 = __SMLADX(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-		a = *px;
-		b = *(px+1);
-		px++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		x3 = __PKHBT(a, b, 16);
-
-#else
-
- 		x3 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLADX(x1, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-		a = *py;
-		b = *(py+1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Read x[7], x[8], x[9] */
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x3 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  x3 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-		a = *py;
-		b = *(py+1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Read x[7], x[8], x[9] */
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x3 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  x3 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-
-        /* Read y[srcBLen - 7] */
-		c0 = *(py-1);
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-		a = *(px+2);
-		b = *(px+3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		x3 = __PKHBT(a, b, 16);
-
-#else
-
- 		x3 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x1, c0, acc0);
-        acc1 = __SMLAD(x2, c0, acc1);
-        acc2 = __SMLADX(x2, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      /* Store the results in the accumulators in the destination buffer. */
-	  *pOut++ = (q15_t)(acc0 >> 15);
-	  *pOut++ = (q15_t)(acc1 >> 15);
-	  *pOut++ = (q15_t)(acc2 >> 15);
-	  *pOut++ = (q15_t)(acc3 >> 15);
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-   * sum +=  x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  pIn2 = pSrc2 - 1u;
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations greater than 4 */
-  /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  j = blockSize3 >> 2u;
-
-  while((j > 0u) && (blockSize3 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-	py++;
-
-    while(k > 0u)
-    {	
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
-        sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-
-    j--;
-  }
-
-  /* The second part of the stage starts here */
-  /* SIMD is not used for the next MAC operations,   
-   * so pointer py is updated to read only one sample at a time */
-  py = py + 1u;
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-}
-
-/**   
- * @} end of Conv group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q31.c
deleted file mode 100644
index 4111a1e8..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q31.c
+++ /dev/null
@@ -1,577 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_fast_q31.c    
-*    
-* Description:	Q31 Convolution (fast version).    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
- * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
- * These intermediate results are accumulated in a 32-bit register in 2.30 format.    
- * Finally, the accumulator is saturated and converted to a 1.31 result.    
- *    
- * \par    
- * The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signals must be scaled down.    
- * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,    
- * as maximum of min(srcALen, srcBLen) number of additions are carried internally.    
- *    
- * \par    
- * See arm_conv_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.    
- */
-
-void arm_conv_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst)
-{
-  q31_t *pIn1;                                   /* inputA pointer */
-  q31_t *pIn2;                                   /* inputB pointer */
-  q31_t *pOut = pDst;                            /* output pointer */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
-  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counter */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally    
-   * divided into three stages according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first stage of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-   * In the third stage of the algorithm, the multiplications decrease by one    
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.    
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * Initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]    
-   * sum = x[0] * y[1] + x[1] * y[0]    
-   * ....    
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 1] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* x[1] * y[srcBLen - 2] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* x[2] * y[srcBLen - 3] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* x[3] * y[srcBLen - 4] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = sum << 1;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-      x2 = *(px++);
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[srcBLen - 1] sample */
-        c0 = *(py--);
-
-        /* Read x[3] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[0] * y[srcBLen - 1] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-        /* Read y[srcBLen - 2] sample */
-        c0 = *(py--);
-
-        /* Read x[4] sample */
-        x0 = *(px++);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[1] * y[srcBLen - 2] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc1 +=  x[2] * y[srcBLen - 2] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc2 +=  x[3] * y[srcBLen - 2] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc3 +=  x[4] * y[srcBLen - 2] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-        /* Read y[srcBLen - 3] sample */
-        c0 = *(py--);
-
-        /* Read x[5] sample */
-        x1 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[srcBLen - 3] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc1 +=  x[3] * y[srcBLen - 3] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc2 +=  x[4] * y[srcBLen - 3] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc3 +=  x[5] * y[srcBLen - 3] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-        /* Read y[srcBLen - 4] sample */
-        c0 = *(py--);
-
-        /* Read x[6] sample */
-        x2 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[3] * y[srcBLen - 4] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc1 +=  x[4] * y[srcBLen - 4] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc2 +=  x[5] * y[srcBLen - 4] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc3 +=  x[6] * y[srcBLen - 4] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[srcBLen - 5] sample */
-        c0 = *(py--);
-
-        /* Read x[7] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[srcBLen - 5] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc1 +=  x[5] * y[srcBLen - 5] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc2 +=  x[6] * y[srcBLen - 5] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc3 +=  x[7] * y[srcBLen - 5] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the results in the accumulators in the destination buffer. */
-      *pOut++ = (q31_t) (acc0 << 1);
-      *pOut++ = (q31_t) (acc1 << 1);
-      *pOut++ = (q31_t) (acc2 << 1);
-      *pOut++ = (q31_t) (acc3 << 1);
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum << 1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum << 1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-   * sum +=  x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = sum << 1;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-}
-
-/**    
- * @} end of Conv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q15.c
deleted file mode 100644
index dffa2de7..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q15.c
+++ /dev/null
@@ -1,545 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_opt_q15.c    
-*    
-* Description:	Convolution of Q15 sequences.      
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @brief Convolution of Q15 sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
- * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).    
- * @return none.    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit    
- *    
- *       
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both inputs are in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * This approach provides 33 guard bits and there is no risk of overflow.    
- * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.    
- *  
- *   
- * \par    
- * Refer to arm_conv_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.     
- * 
- *  
- */
-
-void arm_conv_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
-  q31_t y1, y2;                                  /* State variables */
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  uint32_t tapCnt;                               /* loop count */
-#ifdef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t a, b;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* pointer to take end of scratch2 buffer */
-  pScr2 = pScratch2 + srcBLen - 1;
-
-  /* points to smaller length sequence */
-  px = pIn2;
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcBLen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  /* Copy smaller length input sequence in reverse order into second scratch buffer */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcBLen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr2-- = *px++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* Initialze temporary scratch pointer */
-  pScr1 = pScratch1;
-
-  /* Assuming scratch1 buffer is aligned by 32-bit */
-  /* Fill (srcBLen - 1u) zeros in scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr1 += (srcBLen - 1u);
-
-  /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Copy (srcALen) samples in scratch buffer */
-  arm_copy_q15(pIn1, pScr1, srcALen);
-
-  /* Update pointers */
-  pScr1 += srcALen;
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcALen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif
-
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr1 += (srcBLen - 1u);
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = (srcBLen - 1u) % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif
-
-  /* Temporary pointer for scratch2 */
-  py = pScratch2;
-
-
-  /* Initialization of pIn2 pointer */
-  pIn2 = py;
-
-  /* First part of the processing with loop unrolling process 4 data points at a time.       
-   ** a second loop below process for the remaining 1 to 3 samples. */
-
-  /* Actual convolution process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read two samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr1)++;
-
-    /* Read next two samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr1)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pIn2);
-      y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-      /* multiply and accumlate */
-      acc0 = __SMLALD(x1, y1, acc0);
-      acc2 = __SMLALD(x2, y1, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      /* multiply and accumlate */
-      acc1 = __SMLALDX(x3, y1, acc1);
-
-      /* Read next two samples from scratch1 buffer */
-      x1 = _SIMD32_OFFSET(pScr1);
-
-      /* multiply and accumlate */
-      acc0 = __SMLALD(x2, y2, acc0);
-      acc2 = __SMLALD(x1, y2, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y1, acc3);
-      acc1 = __SMLALDX(x3, y2, acc1);
-
-      x2 = _SIMD32_OFFSET(pScr1 + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y2, acc3);
-
-#else	 
-
-      /* Read four samples from smaller buffer */
-	  a = *pIn2;
-	  b = *(pIn2 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      y1 = __PKHBT(a, b, 16);
-#else
-      y1 = __PKHBT(b, a, 16);
-#endif
-	  
-	  a = *(pIn2 + 2);
-	  b = *(pIn2 + 3);
-#ifndef ARM_MATH_BIG_ENDIAN
-      y2 = __PKHBT(a, b, 16);
-#else
-      y2 = __PKHBT(b, a, 16);
-#endif				
-
-      acc0 = __SMLALD(x1, y1, acc0);
-
-      acc2 = __SMLALD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLALDX(x3, y1, acc1);
-
-	  a = *pScr1;
-	  b = *(pScr1 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(a, b, 16);
-#else
-      x1 = __PKHBT(b, a, 16);
-#endif
-
-      acc0 = __SMLALD(x2, y2, acc0);
-
-      acc2 = __SMLALD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y1, acc3);
-
-      acc1 = __SMLALDX(x3, y2, acc1);
-
-	  a = *(pScr1 + 2);
-	  b = *(pScr1 + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x2 = __PKHBT(a, b, 16);
-#else
-      x2 = __PKHBT(b, a, 16);
-#endif
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y2, acc3);
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      pIn2 += 4u;
-      pScr1 += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr1 -= 4u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pIn2);
-      acc1 += (*pScr1++ * *pIn2);
-      acc2 += (*pScr1++ * *pIn2);
-      acc3 += (*pScr1++ * *pIn2++);
-
-      pScr1 -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-
-    /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch1 += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate convolution for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Read next two samples from scratch1 buffer */
-      acc0 += (*pScr1++ * *pIn2++);
-      acc0 += (*pScr1++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the output in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch1 += 1u;
-
-  }
-
-}
-
-
-/**    
- * @} end of Conv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q7.c
deleted file mode 100644
index b77afbe4..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q7.c
+++ /dev/null
@@ -1,435 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_opt_q7.c    
-*    
-* Description:	Convolution of Q7 sequences.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @brief Convolution of Q7 sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
- * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).   
- * @return none.    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit     
- *       
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.    
- * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.    
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
- * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.    
- * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.    
- *
- */
-
-void arm_conv_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pScr2, *pScr1;                          /* Intermediate pointers for scratch pointers */
-  q15_t x4;                                      /* Temporary input variable */
-  q7_t *pIn1, *pIn2;                             /* inputA and inputB pointer */
-  uint32_t j, k, blkCnt, tapCnt;                 /* loop counter */
-  q7_t *px;                                      /* Temporary input1 pointer */
-  q15_t *py;                                     /* Temporary input2 pointer */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q31_t x1, x2, x3, y1;                          /* Temporary input variables */
-  q7_t *pOut = pDst;                             /* output pointer */
-  q7_t out0, out1, out2, out3;                   /* temporary variables */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* pointer to take end of scratch2 buffer */
-  pScr2 = pScratch2;
-
-  /* points to smaller length sequence */
-  px = pIn2 + srcBLen - 1;
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcBLen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    x4 = (q15_t) * px--;
-    *pScr2++ = x4;
-    x4 = (q15_t) * px--;
-    *pScr2++ = x4;
-    x4 = (q15_t) * px--;
-    *pScr2++ = x4;
-    x4 = (q15_t) * px--;
-    *pScr2++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcBLen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    x4 = (q15_t) * px--;
-    *pScr2++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* Initialze temporary scratch pointer */
-  pScr1 = pScratch1;
-
-  /* Fill (srcBLen - 1u) zeros in scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr1 += (srcBLen - 1u);
-
-  /* Copy (srcALen) samples in scratch buffer */
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcALen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr1 += (srcBLen - 1u);
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = (srcBLen - 1u) % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif
-
-  /* Temporary pointer for scratch2 */
-  py = pScratch2;
-
-  /* Initialization of pIn2 pointer */
-  pIn2 = (q7_t *) py;
-
-  pScr2 = py;
-
-  /* Actual convolution process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read two samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr1)++;
-
-    /* Read next two samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr1)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pScr2);
-
-      /* multiply and accumlate */
-      acc0 = __SMLAD(x1, y1, acc0);
-      acc2 = __SMLAD(x2, y1, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      /* multiply and accumlate */
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      /* Read next two samples from scratch1 buffer */
-      x1 = *__SIMD32(pScr1)++;
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pScr2 + 2u);
-
-      acc0 = __SMLAD(x2, y1, acc0);
-
-      acc2 = __SMLAD(x1, y1, acc2);
-
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      x2 = *__SIMD32(pScr1)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      pScr2 += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr1 -= 4u;
-
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pScr2);
-      acc1 += (*pScr1++ * *pScr2);
-      acc2 += (*pScr1++ * *pScr2);
-      acc3 += (*pScr1++ * *pScr2++);
-
-      pScr1 -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-    out0 = (q7_t) (__SSAT(acc0 >> 7u, 8));
-    out1 = (q7_t) (__SSAT(acc1 >> 7u, 8));
-    out2 = (q7_t) (__SSAT(acc2 >> 7u, 8));
-    out3 = (q7_t) (__SSAT(acc3 >> 7u, 8));
-
-    *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3);
-
-    /* Initialization of inputB pointer */
-    pScr2 = py;
-
-    pScratch1 += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate convolution for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-      acc0 += (*pScr1++ * *pScr2++);
-      acc0 += (*pScr1++ * *pScr2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pScr2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
-
-    /* Initialization of inputB pointer */
-    pScr2 = py;
-
-    pScratch1 += 1u;
-
-  }
-
-}
-
-
-/**    
- * @} end of Conv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_f32.c
deleted file mode 100644
index 226ffd57..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_f32.c
+++ /dev/null
@@ -1,669 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_f32.c    
-*    
-* Description:	Partial convolution of floating-point sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup PartialConv Partial Convolution    
- *    
- * Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated.    
- * Each function has two additional arguments.    
- * firstIndex specifies the starting index of the subset of output samples.    
- * numPoints is the number of output samples to compute.    
- * The function computes the output in the range    
- * [firstIndex, ..., firstIndex+numPoints-1].    
- * The output array pDst contains numPoints values.    
- *    
- * The allowable range of output indices is [0 srcALen+srcBLen-2].    
- * If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR.    
- * Otherwise the functions return ARM_MATH_SUCCESS.    
- * \note Refer arm_conv_f32() for details on fixed point behavior.   
- *
- * 
- * Fast Versions
- *
- * \par 
- * Fast versions are supported for Q31 and Q15 of partial convolution.  Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires
- * the input signals should be scaled down to avoid intermediate overflows.   
- *
- *
- * Opt Versions
- *
- * \par 
- * Opt versions are supported for Q15 and Q7.  Design uses internal scratch buffer for getting good optimisation.
- * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of partial convolution
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of floating-point sequences.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- */
-
-arm_status arm_conv_partial_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
-  float32_t *pIn2 = pSrcB;                       /* inputB pointer */
-  float32_t *pOut = pDst;                        /* output pointer */
-  float32_t *px;                                 /* Intermediate inputA pointer */
-  float32_t *py;                                 /* Intermediate inputB pointer */
-  float32_t *pSrc1, *pSrc2;                      /* Intermediate pointers */
-  float32_t sum, acc0, acc1, acc2, acc3;         /* Accumulator */
-  float32_t x0, x1, x2, x3, c0;                  /* Temporary variables to hold state and coefficient values */
-  uint32_t j, k, count = 0u, blkCnt, check;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters */
-  arm_status status;                             /* status of Partial convolution */
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds    
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
-    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
-    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = ((int32_t) check - blockSize3) -
-      (blockSize1 + (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally    
-     * divided into three stages according to the number of multiplications that has to be    
-     * taken place between inputA samples and inputB samples. In the first stage of the    
-     * algorithm, the multiplications increase by one for every iteration.    
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-     * In the third stage of the algorithm, the multiplications decrease by one    
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex    
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------    
-     * Initializations of stage1    
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]    
-     * sum = x[0] * y[1] + x[1] * y[0]    
-     * ....    
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.    
-       The count variable holds the number of MAC operations performed.    
-       Since the partial convolution starts from from firstIndex    
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc1 = pIn2 + firstIndex;
-    py = pSrc1;
-
-    /* ------------------------    
-     * Stage1 process    
-     * ----------------------*/
-
-    /* The first stage starts here */
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[0] * y[srcBLen - 1] */
-        sum += *px++ * *py--;
-
-        /* x[1] * y[srcBLen - 2] */
-        sum += *px++ * *py--;
-
-        /* x[2] * y[srcBLen - 3] */
-        sum += *px++ * *py--;
-
-        /* x[3] * y[srcBLen - 4] */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc1;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------    
-     * Initializations of stage2    
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-     * ....    
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-     */
-
-    /* Working pointer of inputA */
-    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
-    {
-      px = pIn1 + firstIndex - srcBLen + 1;
-    }
-    else
-    {
-      px = pIn1;
-    }
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-    /* -------------------    
-     * Stage2 process    
-     * ------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-     * So, to loop unroll over blockSize2,    
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blockSize2, by 4 */
-      blkCnt = ((uint32_t) blockSize2 >> 2u);
-
-      while(blkCnt > 0u)
-      {
-        /* Set all accumulators to zero */
-        acc0 = 0.0f;
-        acc1 = 0.0f;
-        acc2 = 0.0f;
-        acc3 = 0.0f;
-
-        /* read x[0], x[1], x[2] samples */
-        x0 = *(px++);
-        x1 = *(px++);
-        x2 = *(px++);
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        do
-        {
-          /* Read y[srcBLen - 1] sample */
-          c0 = *(py--);
-
-          /* Read x[3] sample */
-          x3 = *(px++);
-
-          /* Perform the multiply-accumulate */
-          /* acc0 +=  x[0] * y[srcBLen - 1] */
-          acc0 += x0 * c0;
-
-          /* acc1 +=  x[1] * y[srcBLen - 1] */
-          acc1 += x1 * c0;
-
-          /* acc2 +=  x[2] * y[srcBLen - 1] */
-          acc2 += x2 * c0;
-
-          /* acc3 +=  x[3] * y[srcBLen - 1] */
-          acc3 += x3 * c0;
-
-          /* Read y[srcBLen - 2] sample */
-          c0 = *(py--);
-
-          /* Read x[4] sample */
-          x0 = *(px++);
-
-          /* Perform the multiply-accumulate */
-          /* acc0 +=  x[1] * y[srcBLen - 2] */
-          acc0 += x1 * c0;
-          /* acc1 +=  x[2] * y[srcBLen - 2] */
-          acc1 += x2 * c0;
-          /* acc2 +=  x[3] * y[srcBLen - 2] */
-          acc2 += x3 * c0;
-          /* acc3 +=  x[4] * y[srcBLen - 2] */
-          acc3 += x0 * c0;
-
-          /* Read y[srcBLen - 3] sample */
-          c0 = *(py--);
-
-          /* Read x[5] sample */
-          x1 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[2] * y[srcBLen - 3] */
-          acc0 += x2 * c0;
-          /* acc1 +=  x[3] * y[srcBLen - 2] */
-          acc1 += x3 * c0;
-          /* acc2 +=  x[4] * y[srcBLen - 2] */
-          acc2 += x0 * c0;
-          /* acc3 +=  x[5] * y[srcBLen - 2] */
-          acc3 += x1 * c0;
-
-          /* Read y[srcBLen - 4] sample */
-          c0 = *(py--);
-
-          /* Read x[6] sample */
-          x2 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[3] * y[srcBLen - 4] */
-          acc0 += x3 * c0;
-          /* acc1 +=  x[4] * y[srcBLen - 4] */
-          acc1 += x0 * c0;
-          /* acc2 +=  x[5] * y[srcBLen - 4] */
-          acc2 += x1 * c0;
-          /* acc3 +=  x[6] * y[srcBLen - 4] */
-          acc3 += x2 * c0;
-
-
-        } while(--k);
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Read y[srcBLen - 5] sample */
-          c0 = *(py--);
-
-          /* Read x[7] sample */
-          x3 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[4] * y[srcBLen - 5] */
-          acc0 += x0 * c0;
-          /* acc1 +=  x[5] * y[srcBLen - 5] */
-          acc1 += x1 * c0;
-          /* acc2 +=  x[6] * y[srcBLen - 5] */
-          acc2 += x2 * c0;
-          /* acc3 +=  x[7] * y[srcBLen - 5] */
-          acc3 += x3 * c0;
-
-          /* Reuse the present samples for the next MAC */
-          x0 = x1;
-          x1 = x2;
-          x2 = x3;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = acc0;
-        *pOut++ = acc1;
-        *pOut++ = acc2;
-        *pOut++ = acc3;
-
-        /* Increment the pointer pIn1 index, count by 1 */
-        count += 4u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0.0f;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += *px++ * *py--;
-          sum += *px++ * *py--;
-          sum += *px++ * *py--;
-          sum += *px++ * *py--;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += *px++ * *py--;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = sum;
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,    
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0.0f;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += *px++ * *py--;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = sum;
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------    
-     * Initializations of stage3    
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-     * ....    
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-     * sum +=  x[srcALen-1] * y[srcBLen-1]    
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.    
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-        sum += *px++ * *py--;
-
-        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-        sum += *px++ * *py--;
-
-        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-        sum += *px++ * *py--;
-
-        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
-  float32_t *pIn2 = pSrcB;                       /* inputB pointer */
-  float32_t sum;                                 /* Accumulator */
-  uint32_t i, j;                                 /* loop counters */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-    /* Loop to calculate convolution for output length number of values */
-    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
-    {
-      /* Initialize sum with zero to carry on MAC operations */
-      sum = 0.0f;
-
-      /* Loop to perform MAC operations according to convolution equation */
-      for (j = 0u; j <= i; j++)
-      {
-        /* Check the array limitations for inputs */
-        if((((i - j) < srcBLen) && (j < srcALen)))
-        {
-          /* z[i] += x[i-j] * y[j] */
-          sum += pIn1[j] * pIn2[i - j];
-        }
-      }
-      /* Store the output in the destination buffer */
-      pDst[i] = sum;
-    }
-    /* set status as ARM_SUCCESS as there are no argument errors */
-    status = ARM_MATH_SUCCESS;
-  }
-  return (status);
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
deleted file mode 100644
index 194246f0..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
+++ /dev/null
@@ -1,768 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_fast_opt_q15.c    
-*    
-* Description:	Fast Q15 Partial convolution.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @param[in]       *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
- * @param[in]       *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
- * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- *    
- * See arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit    
- *     
- */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-arm_status arm_conv_partial_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
-  q31_t y1, y2;                                  /* State variables */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  arm_status status;
-
-  uint32_t tapCnt;                               /* loop count */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2 + srcBLen - 1;
-
-    /* points to smaller length sequence */
-    px = pIn2;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-
-    /* Copy smaller length input sequence in reverse order into second scratch buffer */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Assuming scratch1 buffer is aligned by 32-bit */
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-    /* Copy (srcALen) samples in scratch buffer */
-    arm_copy_q15(pIn1, pScr1, srcALen);
-
-    /* Update pointers */
-    pScr1 += srcALen;
-
-    /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = py;
-
-    pScratch1 += firstIndex;
-
-    pOut = pDst + firstIndex;
-
-    /* First part of the processing with loop unrolling process 4 data points at a time.       
-     ** a second loop below process for the remaining 1 to 3 samples. */
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x1 = *__SIMD32(pScr1)++;
-
-      /* Read next two samples from scratch1 buffer */
-      x2 = *__SIMD32(pScr1)++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read four samples from smaller buffer */
-        y1 = _SIMD32_OFFSET(pIn2);
-        y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-        /* multiply and accumlate */
-        acc0 = __SMLAD(x1, y1, acc0);
-        acc2 = __SMLAD(x2, y1, acc2);
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        /* multiply and accumlate */
-        acc1 = __SMLADX(x3, y1, acc1);
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = _SIMD32_OFFSET(pScr1);
-
-        /* multiply and accumlate */
-        acc0 = __SMLAD(x2, y2, acc0);
-
-        acc2 = __SMLAD(x1, y2, acc2);
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x1, x2, 0);
-#else
-        x3 = __PKHBT(x2, x1, 0);
-#endif
-
-        acc3 = __SMLADX(x3, y1, acc3);
-        acc1 = __SMLADX(x3, y2, acc1);
-
-        x2 = _SIMD32_OFFSET(pScr1 + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        acc3 = __SMLADX(x3, y2, acc3);
-
-        /* update scratch pointers */
-        pIn2 += 4u;
-        pScr1 += 4u;
-
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2);
-        acc1 += (*pScr1++ * *pIn2);
-        acc2 += (*pScr1++ * *pIn2);
-        acc3 += (*pScr1++ * *pIn2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-
-    blkCnt = numPoints & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = *__SIMD32(pScr1)++;
-
-        /* Read two samples from smaller buffer */
-        y1 = *__SIMD32(pIn2)++;
-
-        acc0 = __SMLAD(x1, y1, acc0);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
-       ** Then store the output in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 1u;
-
-    }
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-  /* Return to application */
-  return (status);
-}
-
-#else
-
-arm_status arm_conv_partial_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  arm_status status;                             /* Status variable */
-  uint32_t tapCnt;                               /* loop count */
-  q15_t x10, x11, x20, x21;                      /* Temporary variables to hold srcA buffer */
-  q15_t y10, y11;                                /* Temporary variables to hold srcB buffer */
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2 + srcBLen - 1;
-
-    /* points to smaller length sequence */
-    px = pIn2;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcALen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcALen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr1++ = *pIn1++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = (srcBLen - 1u) >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = (srcBLen - 1u) % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = py;
-
-    pScratch1 += firstIndex;
-
-    pOut = pDst + firstIndex;
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x10 = *pScr1++;
-      x11 = *pScr1++;
-
-      /* Read next two samples from scratch1 buffer */
-      x20 = *pScr1++;
-      x21 = *pScr1++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read two samples from smaller buffer */
-        y10 = *pIn2;
-        y11 = *(pIn2 + 1u);
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x10 *y10;
-        acc0 += (q31_t) x11 *y11;
-        acc2 += (q31_t) x20 *y10;
-        acc2 += (q31_t) x21 *y11;
-
-        /* multiply and accumlate */
-        acc1 += (q31_t) x11 *y10;
-        acc1 += (q31_t) x20 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1;
-        x11 = *(pScr1 + 1u);
-
-        /* multiply and accumlate */
-        acc3 += (q31_t) x21 *y10;
-        acc3 += (q31_t) x10 *y11;
-
-        /* Read next two samples from scratch2 buffer */
-        y10 = *(pIn2 + 2u);
-        y11 = *(pIn2 + 3u);
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x20 *y10;
-        acc0 += (q31_t) x21 *y11;
-        acc2 += (q31_t) x10 *y10;
-        acc2 += (q31_t) x11 *y11;
-        acc1 += (q31_t) x21 *y10;
-        acc1 += (q31_t) x10 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x20 = *(pScr1 + 2);
-        x21 = *(pScr1 + 3);
-
-        /* multiply and accumlate */
-        acc3 += (q31_t) x11 *y10;
-        acc3 += (q31_t) x20 *y11;
-
-        /* update scratch pointers */
-        pIn2 += 4u;
-        pScr1 += 4u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2);
-        acc1 += (*pScr1++ * *pIn2);
-        acc2 += (*pScr1++ * *pIn2);
-        acc3 += (*pScr1++ * *pIn2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-      *pOut++ = __SSAT((acc0 >> 15), 16);
-      *pOut++ = __SSAT((acc1 >> 15), 16);
-      *pOut++ = __SSAT((acc2 >> 15), 16);
-      *pOut++ = __SSAT((acc3 >> 15), 16);
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-
-    blkCnt = numPoints & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1++;
-        x11 = *pScr1++;
-
-        /* Read two samples from smaller buffer */
-        y10 = *pIn2++;
-        y11 = *pIn2++;
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x10 *y10;
-        acc0 += (q31_t) x11 *y11;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 1u;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
deleted file mode 100644
index 794879e8..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
+++ /dev/null
@@ -1,1492 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_partial_fast_q15.c   
-*   
-* Description:	Fast Q15 Partial convolution.   
-*   
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup PartialConv   
- * @{   
- */
-
-/**   
- * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.   
- * @param[in]       *pSrcA points to the first input sequence.   
- * @param[in]       srcALen length of the first input sequence.   
- * @param[in]       *pSrcB points to the second input sequence.   
- * @param[in]       srcBLen length of the second input sequence.   
- * @param[out]      *pDst points to the location where the output result is written.   
- * @param[in]       firstIndex is the first output sample to start with.   
- * @param[in]       numPoints is the number of output points to be computed.   
- * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
- *   
- * See arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.   
- */
-
-
-arm_status arm_conv_partial_fast_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters                 */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >=srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds   
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
-    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally   
-     * divided into three stages according to the number of multiplications that has to be   
-     * taken place between inputA samples and inputB samples. In the first stage of the   
-     * algorithm, the multiplications increase by one for every iteration.   
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-     * In the third stage of the algorithm, the multiplications decrease by one   
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex   
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------   
-     * Initializations of stage1   
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]   
-     * sum = x[0] * y[1] + x[1] * y[0]   
-     * ....   
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed.   
-       Since the partial convolution starts from firstIndex   
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------   
-     * Stage1 process   
-     * ----------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations less than 4 */
-    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-    /* The first part of the stage starts here */
-    while((count < 4u) && (blockSize1 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over number of MAC operations between   
-       * inputA samples and inputB samples */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* The second part of the stage starts here */
-    /* The internal loop, over count, is unrolled by 4 */
-    /* To, read the last two inputB samples using SIMD:   
-     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-    py = py - 1;
-
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
-        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-        /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
-        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* For the next MAC operations, the pointer py is used without SIMD   
-       * So, py is incremented by 1 */
-      py = py + 1u;
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2 - 1u;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------   
-     * Initializations of stage2   
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-     * ....   
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-     */
-
-    /* Working pointer of inputA */
-    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
-    {
-      px = pIn1 + firstIndex - srcBLen + 1;
-    }
-    else
-    {
-      px = pIn1;
-    }
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is the index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-
-    /* --------------------   
-     * Stage2 process   
-     * -------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-     * So, to loop unroll over blockSize2,   
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blockSize2, by 4 */
-      blkCnt = ((uint32_t) blockSize2 >> 2u);
-
-      while(blkCnt > 0u)
-      {
-      py = py - 1u;
-
-        /* Set all accumulators to zero */
-        acc0 = 0;
-        acc1 = 0;
-        acc2 = 0;
-        acc3 = 0;
-
-
-        /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-        /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px+1);
-	  px+= 2u;
-
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        do
-        {
-          /* Read the last two inputB samples using SIMD:   
-           * y[srcBLen - 1] and y[srcBLen - 2] */
-        c0 = *__SIMD32(py)--;
-
-          /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-          acc0 = __SMLADX(x0, c0, acc0);
-
-          /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-          acc1 = __SMLADX(x1, c0, acc1);
-
-          /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-          /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px+1);
-
-          /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-          acc2 = __SMLADX(x2, c0, acc2);
-
-          /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-          acc3 = __SMLADX(x3, c0, acc3);
-
-          /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-        c0 = *__SIMD32(py)--;
-
-          /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-          acc0 = __SMLADX(x2, c0, acc0);
-
-          /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-          acc1 = __SMLADX(x3, c0, acc1);
-
-          /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px+2);
-
-          /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px+3);
-		px += 4u;
-
-          /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-          acc2 = __SMLADX(x0, c0, acc2);
-
-          /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-          acc3 = __SMLADX(x1, c0, acc3);
-
-        } while(--k);
-
-        /* For the next MAC operations, SIMD is not used   
-         * So, the 16 bit pointer if inputB, py is updated */
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        if(k == 1u)
-        {
-          /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-          /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-          /* Perform the multiply-accumulates */
-          acc0 = __SMLAD(x0, c0, acc0);
-          acc1 = __SMLAD(x1, c0, acc1);
-          acc2 = __SMLADX(x1, c0, acc2);
-          acc3 = __SMLADX(x3, c0, acc3);
-        }
-
-        if(k == 2u)
-        {
-          /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-          /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-		px += 2u;
-
-          /* Perform the multiply-accumulates */
-          acc0 = __SMLADX(x0, c0, acc0);
-          acc1 = __SMLADX(x1, c0, acc1);
-          acc2 = __SMLADX(x3, c0, acc2);
-          acc3 = __SMLADX(x2, c0, acc3);
-        }
-
-        if(k == 3u)
-        {
-          /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-          /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-          /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-
-          /* Perform the multiply-accumulates */
-          acc0 = __SMLADX(x0, c0, acc0);
-          acc1 = __SMLADX(x1, c0, acc1);
-          acc2 = __SMLADX(x3, c0, acc2);
-          acc3 = __SMLADX(x2, c0, acc3);
-
-		c0 = *(py-1);
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-          /* Read x[10] */
-        x3 =  _SIMD32_OFFSET(px+2);
-		px += 3u;
-
-          /* Perform the multiply-accumulates */
-          acc0 = __SMLADX(x1, c0, acc0);
-          acc1 = __SMLAD(x2, c0, acc1);
-          acc2 = __SMLADX(x2, c0, acc2);
-          acc3 = __SMLADX(x3, c0, acc3);
-        }
-
-        /* Store the results in the accumulators in the destination buffer. */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *__SIMD32(pOut)++ = __PKHBT(acc0 >> 15, acc1 >> 15, 16);
-        *__SIMD32(pOut)++ = __PKHBT(acc2 >> 15, acc3 >> 15, 16);
-
-#else
-
-        *__SIMD32(pOut)++ = __PKHBT(acc1 >> 15, acc0 >> 15, 16);
-        *__SIMD32(pOut)++ = __PKHBT(acc3 >> 15, acc2 >> 15, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-        /* Increment the pointer pIn1 index, count by 4 */
-        count += 4u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (sum >> 15);
-
-        /* Increment the pointer pIn1 index, count by 1 */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,   
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (sum >> 15);
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------   
-     * Initializations of stage3   
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-     * ....   
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-     * sum +=  x[srcALen-1] * y[srcBLen-1]   
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    pIn2 = pSrc2 - 1u;
-    py = pIn2;
-
-    /* -------------------   
-     * Stage3 process   
-     * ------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations greater than 4 */
-    /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-    /* The first part of the stage starts here */
-    j = count >> 2u;
-
-    while((j > 0u) && (blockSize3 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
-         * with y[srcBLen - 1], y[srcBLen - 2] respectively */
-        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-        /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
-         * with y[srcBLen - 3], y[srcBLen - 4] respectively */
-        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* For the next MAC operations, the pointer py is used without SIMD   
-       * So, py is incremented by 1 */
-      py = py + 1u;
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
-        sum = __SMLAD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pIn2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-      j--;
-    }
-
-    /* The second part of the stage starts here */
-    /* SIMD is not used for the next MAC operations,   
-     * so pointer py is updated to read only one sample at a time */
-    py = py + 1u;
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum = __SMLAD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#else
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters                 */
-  arm_status status;                             /* status of Partial convolution */
-  q15_t a, b;
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >=srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds   
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
-    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
-    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = ((int32_t) check - blockSize3) -
-      (blockSize1 + (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally   
-     * divided into three stages according to the number of multiplications that has to be   
-     * taken place between inputA samples and inputB samples. In the first stage of the   
-     * algorithm, the multiplications increase by one for every iteration.   
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-     * In the third stage of the algorithm, the multiplications decrease by one   
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex   
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------   
-     * Initializations of stage1   
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]   
-     * sum = x[0] * y[1] + x[1] * y[0]   
-     * ....   
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed.   
-       Since the partial convolution starts from firstIndex   
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------   
-     * Stage1 process   
-     * ----------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations less than 4 */
-    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-    /* The first part of the stage starts here */
-  while((count < 4u) && (blockSize1 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over number of MAC operations between   
-       * inputA samples and inputB samples */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-      sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* The second part of the stage starts here */
-    /* The internal loop, over count, is unrolled by 4 */
-    /* To, read the last two inputB samples using SIMD:   
-     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-    py = py - 1;
-
-  while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-	py++;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-      sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2 - 1u;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------   
-     * Initializations of stage2   
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-     * ....   
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-     */
-
-    /* Working pointer of inputA */
-    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
-    {
-      px = pIn1 + firstIndex - srcBLen + 1;
-    }
-    else
-    {
-      px = pIn1;
-    }
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is the index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-
-    /* --------------------   
-     * Stage2 process   
-     * -------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-     * So, to loop unroll over blockSize2,   
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blockSize2, by 4 */
-      blkCnt = ((uint32_t) blockSize2 >> 2u);
-
-      while(blkCnt > 0u)
-      {
-      py = py - 1u;
-
-        /* Set all accumulators to zero */
-        acc0 = 0;
-        acc1 = 0;
-        acc2 = 0;
-        acc3 = 0;
-
-      /* read x[0], x[1] samples */
-	  a = *px++;
-	  b = *px++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x0 = __PKHBT(a, b, 16);
-	  a = *px;
-	  x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  x0 = __PKHBT(b, a, 16);
-	  a = *px;
-	  x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the last two inputB samples using SIMD:   
-         * y[srcBLen - 1] and y[srcBLen - 2] */
-		a = *py;
-		b = *(py+1);
-		py -= 2;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-        acc0 = __SMLADX(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-        acc1 = __SMLADX(x1, c0, acc1);
-
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x2 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x3 = __PKHBT(b, a, 16);
-
-#else
-
-	  x2 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x3 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-        acc2 = __SMLADX(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-        acc3 = __SMLADX(x3, c0, acc3);
-
-        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-		a = *py;
-		b = *(py+1);
-		py -= 2;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-        acc0 = __SMLADX(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-        acc1 = __SMLADX(x3, c0, acc1);
-
-        /* Read x[4], x[5], x[6] */
-	  a = *(px + 2);
-	  b = *(px + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x0 = __PKHBT(a, b, 16);
-	  a = *(px + 4);
-	  x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  x0 = __PKHBT(b, a, 16);
-	  a = *(px + 4);
-	  x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-        acc2 = __SMLADX(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-        acc3 = __SMLADX(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-		a = *px;
-		b = *(px+1);
-		px++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		x3 = __PKHBT(a, b, 16);
-
-#else
-
- 		x3 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLADX(x1, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-		a = *py;
-		b = *(py+1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Read x[7], x[8], x[9] */
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x3 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  x3 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-		a = *py;
-		b = *(py+1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Read x[7], x[8], x[9] */
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x3 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  x3 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-
-        /* Read y[srcBLen - 7] */
-		c0 = *(py-1);
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-		a = *(px+2);
-		b = *(px+3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		x3 = __PKHBT(a, b, 16);
-
-#else
-
- 		x3 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x1, c0, acc0);
-        acc1 = __SMLAD(x2, c0, acc1);
-        acc2 = __SMLADX(x2, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      /* Store the results in the accumulators in the destination buffer. */
-	  *pOut++ = (q15_t)(acc0 >> 15);
-	  *pOut++ = (q15_t)(acc1 >> 15);
-	  *pOut++ = (q15_t)(acc2 >> 15);
-	  *pOut++ = (q15_t)(acc3 >> 15);
-
-        /* Increment the pointer pIn1 index, count by 4 */
-        count += 4u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (sum >> 15);
-
-        /* Increment the pointer pIn1 index, count by 1 */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,   
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (sum >> 15);
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------   
-     * Initializations of stage3   
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-     * ....   
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-     * sum +=  x[srcALen-1] * y[srcBLen-1]   
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    pIn2 = pSrc2 - 1u;
-    py = pIn2;
-
-    /* -------------------   
-     * Stage3 process   
-     * ------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations greater than 4 */
-    /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-    /* The first part of the stage starts here */
-    j = count >> 2u;
-
-    while((j > 0u) && (blockSize3 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-	py++;
-
-    while(k > 0u)
-    {	
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pIn2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-      j--;
-    }
-
-    /* The second part of the stage starts here */
-    /* SIMD is not used for the next MAC operations,   
-     * so pointer py is updated to read only one sample at a time */
-    py = py + 1u;
-
-  while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#endif /*     #ifndef UNALIGNED_SUPPORT_DISABLE      */
-}
-
-/**   
- * @} end of PartialConv group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
deleted file mode 100644
index 46ef94d2..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
+++ /dev/null
@@ -1,611 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_fast_q31.c    
-*    
-* Description:	Fast Q31 Partial convolution.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- *    
- * \par    
- * See arm_conv_partial_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.    
- */
-
-arm_status arm_conv_partial_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-  q31_t *pIn1;                                   /* inputA pointer               */
-  q31_t *pIn2;                                   /* inputB pointer               */
-  q31_t *pOut = pDst;                            /* output pointer               */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q31_t x0, x1, x2, x3, c0;
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters                 */
-  arm_status status;                             /* status of Partial convolution */
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds    
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
-    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally    
-     * divided into three stages according to the number of multiplications that has to be    
-     * taken place between inputA samples and inputB samples. In the first stage of the    
-     * algorithm, the multiplications increase by one for every iteration.    
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-     * In the third stage of the algorithm, the multiplications decrease by one    
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex    
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------    
-     * Initializations of stage1    
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]    
-     * sum = x[0] * y[1] + x[1] * y[0]    
-     * ....    
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.    
-       The count variable holds the number of MAC operations performed.    
-       Since the partial convolution starts from firstIndex    
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------    
-     * Stage1 process    
-     * ----------------------*/
-
-    /* The first loop starts here */
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[0] * y[srcBLen - 1] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* x[1] * y[srcBLen - 2] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* x[2] * y[srcBLen - 3] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* x[3] * y[srcBLen - 4] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum << 1;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------    
-     * Initializations of stage2    
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-     * ....    
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-     */
-
-    /* Working pointer of inputA */
-    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
-    {
-      px = pIn1 + firstIndex - srcBLen + 1;
-    }
-    else
-    {
-      px = pIn1;
-    }
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-    /* -------------------    
-     * Stage2 process    
-     * ------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-     * So, to loop unroll over blockSize2,    
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blockSize2 */
-      blkCnt = ((uint32_t) blockSize2 >> 2u);
-
-      while(blkCnt > 0u)
-      {
-        /* Set all accumulators to zero */
-        acc0 = 0;
-        acc1 = 0;
-        acc2 = 0;
-        acc3 = 0;
-
-        /* read x[0], x[1], x[2] samples */
-        x0 = *(px++);
-        x1 = *(px++);
-        x2 = *(px++);
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        do
-        {
-          /* Read y[srcBLen - 1] sample */
-          c0 = *(py--);
-
-          /* Read x[3] sample */
-          x3 = *(px++);
-
-          /* Perform the multiply-accumulate */
-          /* acc0 +=  x[0] * y[srcBLen - 1] */
-          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-          /* acc1 +=  x[1] * y[srcBLen - 1] */
-          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-          /* acc2 +=  x[2] * y[srcBLen - 1] */
-          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-          /* acc3 +=  x[3] * y[srcBLen - 1] */
-          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-          /* Read y[srcBLen - 2] sample */
-          c0 = *(py--);
-
-          /* Read x[4] sample */
-          x0 = *(px++);
-
-          /* Perform the multiply-accumulate */
-          /* acc0 +=  x[1] * y[srcBLen - 2] */
-          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
-          /* acc1 +=  x[2] * y[srcBLen - 2] */
-          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
-          /* acc2 +=  x[3] * y[srcBLen - 2] */
-          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
-          /* acc3 +=  x[4] * y[srcBLen - 2] */
-          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-          /* Read y[srcBLen - 3] sample */
-          c0 = *(py--);
-
-          /* Read x[5] sample */
-          x1 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[2] * y[srcBLen - 3] */
-          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
-          /* acc1 +=  x[3] * y[srcBLen - 2] */
-          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
-          /* acc2 +=  x[4] * y[srcBLen - 2] */
-          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
-          /* acc3 +=  x[5] * y[srcBLen - 2] */
-          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-          /* Read y[srcBLen - 4] sample */
-          c0 = *(py--);
-
-          /* Read x[6] sample */
-          x2 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[3] * y[srcBLen - 4] */
-          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
-          /* acc1 +=  x[4] * y[srcBLen - 4] */
-          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
-          /* acc2 +=  x[5] * y[srcBLen - 4] */
-          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
-          /* acc3 +=  x[6] * y[srcBLen - 4] */
-          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-
-        } while(--k);
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Read y[srcBLen - 5] sample */
-          c0 = *(py--);
-
-          /* Read x[7] sample */
-          x3 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[4] * y[srcBLen - 5] */
-          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-          /* acc1 +=  x[5] * y[srcBLen - 5] */
-          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-          /* acc2 +=  x[6] * y[srcBLen - 5] */
-          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-          /* acc3 +=  x[7] * y[srcBLen - 5] */
-          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-          /* Reuse the present samples for the next MAC */
-          x0 = x1;
-          x1 = x2;
-          x2 = x3;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q31_t) (acc0 << 1);
-        *pOut++ = (q31_t) (acc1 << 1);
-        *pOut++ = (q31_t) (acc2 << 1);
-        *pOut++ = (q31_t) (acc3 << 1);
-
-        /* Increment the pointer pIn1 index, count by 4 */
-        count += 4u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = sum << 1;
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,    
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = sum << 1;
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------    
-     * Initializations of stage3    
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-     * ....    
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-     * sum +=  x[srcALen-1] * y[srcBLen-1]    
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.    
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* -------------------    
-     * Stage3 process    
-     * ------------------*/
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum << 1;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-}
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
deleted file mode 100644
index 0734938e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
+++ /dev/null
@@ -1,765 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_opt_q15.c    
-*    
-* Description:	Partial convolution of Q15 sequences.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of Q15 sequences.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @param[in]       *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
- * @param[in]       *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
- * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, state buffers should be aligned by 32-bit    
- *    
- * Refer to arm_conv_partial_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.   
- *  
- * 
- */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-arm_status arm_conv_partial_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
-  q31_t y1, y2;                                  /* State variables */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  arm_status status;                             /* Status variable */
-  uint32_t tapCnt;                               /* loop count */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2 + srcBLen - 1;
-
-    /* points to smaller length sequence */
-    px = pIn2;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-    /* Copy (srcALen) samples in scratch buffer */
-    arm_copy_q15(pIn1, pScr1, srcALen);
-
-    /* Update pointers */
-    pScr1 += srcALen;
-
-    /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = py;
-
-    pScratch1 += firstIndex;
-
-    pOut = pDst + firstIndex;
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x1 = *__SIMD32(pScr1)++;
-
-      /* Read next two samples from scratch1 buffer */
-      x2 = *__SIMD32(pScr1)++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read four samples from smaller buffer */
-        y1 = _SIMD32_OFFSET(pIn2);
-        y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-        /* multiply and accumlate */
-        acc0 = __SMLALD(x1, y1, acc0);
-        acc2 = __SMLALD(x2, y1, acc2);
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        /* multiply and accumlate */
-        acc1 = __SMLALDX(x3, y1, acc1);
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = _SIMD32_OFFSET(pScr1);
-
-        /* multiply and accumlate */
-        acc0 = __SMLALD(x2, y2, acc0);
-        acc2 = __SMLALD(x1, y2, acc2);
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x1, x2, 0);
-#else
-        x3 = __PKHBT(x2, x1, 0);
-#endif
-
-        acc3 = __SMLALDX(x3, y1, acc3);
-        acc1 = __SMLALDX(x3, y2, acc1);
-
-        x2 = _SIMD32_OFFSET(pScr1 + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        acc3 = __SMLALDX(x3, y2, acc3);
-
-        /* update scratch pointers */
-        pIn2 += 4u;
-        pScr1 += 4u;
-
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2);
-        acc1 += (*pScr1++ * *pIn2);
-        acc2 += (*pScr1++ * *pIn2);
-        acc3 += (*pScr1++ * *pIn2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-
-    blkCnt = numPoints & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = *__SIMD32(pScr1)++;
-
-        /* Read two samples from smaller buffer */
-        y1 = *__SIMD32(pIn2)++;
-
-        acc0 = __SMLALD(x1, y1, acc0);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 1u;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-#else
-
-arm_status arm_conv_partial_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  arm_status status;                             /* Status variable */
-  uint32_t tapCnt;                               /* loop count */
-  q15_t x10, x11, x20, x21;                      /* Temporary variables to hold srcA buffer */
-  q15_t y10, y11;                                /* Temporary variables to hold srcB buffer */
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2 + srcBLen - 1;
-
-    /* points to smaller length sequence */
-    px = pIn2;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcALen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcALen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr1++ = *pIn1++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = (srcBLen - 1u) >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = (srcBLen - 1u) % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = py;
-
-    pScratch1 += firstIndex;
-
-    pOut = pDst + firstIndex;
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x10 = *pScr1++;
-      x11 = *pScr1++;
-
-      /* Read next two samples from scratch1 buffer */
-      x20 = *pScr1++;
-      x21 = *pScr1++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read two samples from smaller buffer */
-        y10 = *pIn2;
-        y11 = *(pIn2 + 1u);
-
-        /* multiply and accumlate */
-        acc0 += (q63_t) x10 *y10;
-        acc0 += (q63_t) x11 *y11;
-        acc2 += (q63_t) x20 *y10;
-        acc2 += (q63_t) x21 *y11;
-
-        /* multiply and accumlate */
-        acc1 += (q63_t) x11 *y10;
-        acc1 += (q63_t) x20 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1;
-        x11 = *(pScr1 + 1u);
-
-        /* multiply and accumlate */
-        acc3 += (q63_t) x21 *y10;
-        acc3 += (q63_t) x10 *y11;
-
-        /* Read next two samples from scratch2 buffer */
-        y10 = *(pIn2 + 2u);
-        y11 = *(pIn2 + 3u);
-
-        /* multiply and accumlate */
-        acc0 += (q63_t) x20 *y10;
-        acc0 += (q63_t) x21 *y11;
-        acc2 += (q63_t) x10 *y10;
-        acc2 += (q63_t) x11 *y11;
-        acc1 += (q63_t) x21 *y10;
-        acc1 += (q63_t) x10 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x20 = *(pScr1 + 2);
-        x21 = *(pScr1 + 3);
-
-        /* multiply and accumlate */
-        acc3 += (q63_t) x11 *y10;
-        acc3 += (q63_t) x20 *y11;
-
-        /* update scratch pointers */
-        pIn2 += 4u;
-        pScr1 += 4u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2);
-        acc1 += (*pScr1++ * *pIn2);
-        acc2 += (*pScr1++ * *pIn2);
-        acc3 += (*pScr1++ * *pIn2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-      *pOut++ = __SSAT((acc0 >> 15), 16);
-      *pOut++ = __SSAT((acc1 >> 15), 16);
-      *pOut++ = __SSAT((acc2 >> 15), 16);
-      *pOut++ = __SSAT((acc3 >> 15), 16);
-
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-
-    blkCnt = numPoints & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1++;
-        x11 = *pScr1++;
-
-        /* Read two samples from smaller buffer */
-        y10 = *pIn2++;
-        y11 = *pIn2++;
-
-        /* multiply and accumlate */
-        acc0 += (q63_t) x10 *y10;
-        acc0 += (q63_t) x11 *y11;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 1u;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
deleted file mode 100644
index e8fcce5b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
+++ /dev/null
@@ -1,803 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_opt_q7.c    
-*    
-* Description:	Partial convolution of Q7 sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of Q7 sequences.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @param[in]      *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
- * @param[in]      *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).    
- * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit   
- * 
- *
- * 
- */
-
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-arm_status arm_conv_partial_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pScr2, *pScr1;                          /* Intermediate pointers for scratch pointers */
-  q15_t x4;                                      /* Temporary input variable */
-  q7_t *pIn1, *pIn2;                             /* inputA and inputB pointer */
-  uint32_t j, k, blkCnt, tapCnt;                 /* loop counter */
-  q7_t *px;                                      /* Temporary input1 pointer */
-  q15_t *py;                                     /* Temporary input2 pointer */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q31_t x1, x2, x3, y1;                          /* Temporary input variables */
-  arm_status status;
-  q7_t *pOut = pDst;                             /* output pointer */
-  q7_t out0, out1, out2, out3;                   /* temporary variables */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2;
-
-    /* points to smaller length sequence */
-    px = pIn2 + srcBLen - 1;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy (srcALen) samples in scratch buffer */
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcALen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcALen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update pointer */
-    pScr1 += (srcBLen - 1u);
-
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = (q7_t *) py;
-
-    pScr2 = py;
-
-    pOut = pDst + firstIndex;
-
-    pScratch1 += firstIndex;
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x1 = *__SIMD32(pScr1)++;
-
-      /* Read next two samples from scratch1 buffer */
-      x2 = *__SIMD32(pScr1)++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read four samples from smaller buffer */
-        y1 = _SIMD32_OFFSET(pScr2);
-
-        /* multiply and accumlate */
-        acc0 = __SMLAD(x1, y1, acc0);
-        acc2 = __SMLAD(x2, y1, acc2);
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        /* multiply and accumlate */
-        acc1 = __SMLADX(x3, y1, acc1);
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = *__SIMD32(pScr1)++;
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x1, x2, 0);
-#else
-        x3 = __PKHBT(x2, x1, 0);
-#endif
-
-        acc3 = __SMLADX(x3, y1, acc3);
-
-        /* Read four samples from smaller buffer */
-        y1 = _SIMD32_OFFSET(pScr2 + 2u);
-
-        acc0 = __SMLAD(x2, y1, acc0);
-
-        acc2 = __SMLAD(x1, y1, acc2);
-
-        acc1 = __SMLADX(x3, y1, acc1);
-
-        x2 = *__SIMD32(pScr1)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        acc3 = __SMLADX(x3, y1, acc3);
-
-        pScr2 += 4u;
-
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pScr2);
-        acc1 += (*pScr1++ * *pScr2);
-        acc2 += (*pScr1++ * *pScr2);
-        acc3 += (*pScr1++ * *pScr2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      out0 = (q7_t) (__SSAT(acc0 >> 7u, 8));
-      out1 = (q7_t) (__SSAT(acc1 >> 7u, 8));
-      out2 = (q7_t) (__SSAT(acc2 >> 7u, 8));
-      out3 = (q7_t) (__SSAT(acc3 >> 7u, 8));
-
-      *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3);
-
-      /* Initialization of inputB pointer */
-      pScr2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-    blkCnt = (numPoints) & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = *__SIMD32(pScr1)++;
-
-        /* Read two samples from smaller buffer */
-        y1 = *__SIMD32(pScr2)++;
-
-        acc0 = __SMLAD(x1, y1, acc0);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pScr2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
-
-      /* Initialization of inputB pointer */
-      pScr2 = py;
-
-      pScratch1 += 1u;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-
-  }
-
-  return (status);
-
-}
-
-#else
-
-arm_status arm_conv_partial_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pScr2, *pScr1;                          /* Intermediate pointers for scratch pointers */
-  q15_t x4;                                      /* Temporary input variable */
-  q7_t *pIn1, *pIn2;                             /* inputA and inputB pointer */
-  uint32_t j, k, blkCnt, tapCnt;                 /* loop counter */
-  q7_t *px;                                      /* Temporary input1 pointer */
-  q15_t *py;                                     /* Temporary input2 pointer */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  arm_status status;
-  q7_t *pOut = pDst;                             /* output pointer */
-  q15_t x10, x11, x20, x21;                      /* Temporary input variables */
-  q15_t y10, y11;                                /* Temporary input variables */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2;
-
-    /* points to smaller length sequence */
-    px = pIn2 + srcBLen - 1;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy (srcALen) samples in scratch buffer */
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcALen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcALen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = (srcBLen - 1u) >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = (srcBLen - 1u) % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = (q7_t *) py;
-
-    pScr2 = py;
-
-    pOut = pDst + firstIndex;
-
-    pScratch1 += firstIndex;
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x10 = *pScr1++;
-      x11 = *pScr1++;
-
-      /* Read next two samples from scratch1 buffer */
-      x20 = *pScr1++;
-      x21 = *pScr1++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read four samples from smaller buffer */
-        y10 = *pScr2;
-        y11 = *(pScr2 + 1u);
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x10 *y10;
-        acc0 += (q31_t) x11 *y11;
-        acc2 += (q31_t) x20 *y10;
-        acc2 += (q31_t) x21 *y11;
-
-
-        acc1 += (q31_t) x11 *y10;
-        acc1 += (q31_t) x20 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1;
-        x11 = *(pScr1 + 1u);
-
-        /* multiply and accumlate */
-        acc3 += (q31_t) x21 *y10;
-        acc3 += (q31_t) x10 *y11;
-
-        /* Read next two samples from scratch2 buffer */
-        y10 = *(pScr2 + 2u);
-        y11 = *(pScr2 + 3u);
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x20 *y10;
-        acc0 += (q31_t) x21 *y11;
-        acc2 += (q31_t) x10 *y10;
-        acc2 += (q31_t) x11 *y11;
-        acc1 += (q31_t) x21 *y10;
-        acc1 += (q31_t) x10 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x20 = *(pScr1 + 2);
-        x21 = *(pScr1 + 3);
-
-        /* multiply and accumlate */
-        acc3 += (q31_t) x11 *y10;
-        acc3 += (q31_t) x20 *y11;
-
-        /* update scratch pointers */
-
-        pScr1 += 4u;
-        pScr2 += 4u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pScr2);
-        acc1 += (*pScr1++ * *pScr2);
-        acc2 += (*pScr1++ * *pScr2);
-        acc3 += (*pScr1++ * *pScr2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
-      *pOut++ = (q7_t) (__SSAT(acc1 >> 7u, 8));
-      *pOut++ = (q7_t) (__SSAT(acc2 >> 7u, 8));
-      *pOut++ = (q7_t) (__SSAT(acc3 >> 7u, 8));
-
-      /* Initialization of inputB pointer */
-      pScr2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-    blkCnt = (numPoints) & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1++;
-        x11 = *pScr1++;
-
-        /* Read two samples from smaller buffer */
-        y10 = *pScr2++;
-        y11 = *pScr2++;
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x10 *y10;
-        acc0 += (q31_t) x11 *y11;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pScr2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
-
-      /* Initialization of inputB pointer */
-      pScr2 = py;
-
-      pScratch1 += 1u;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-  }
-
-  return (status);
-
-}
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q15.c
deleted file mode 100644
index c2979891..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q15.c
+++ /dev/null
@@ -1,786 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_partial_q15.c   
-*   
-* Description:	Partial convolution of Q15 sequences.  
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-* 
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup PartialConv   
- * @{   
- */
-
-/**   
- * @brief Partial convolution of Q15 sequences.   
- * @param[in]       *pSrcA points to the first input sequence.   
- * @param[in]       srcALen length of the first input sequence.   
- * @param[in]       *pSrcB points to the second input sequence.   
- * @param[in]       srcBLen length of the second input sequence.   
- * @param[out]      *pDst points to the location where the output result is written.   
- * @param[in]       firstIndex is the first output sample to start with.   
- * @param[in]       numPoints is the number of output points to be computed.   
- * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
- *   
- * Refer to arm_conv_partial_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.  
- * 
- * \par    
- * Refer the function arm_conv_partial_opt_q15() for a faster implementation of this function using scratch buffers.
- * 
- */
-
-
-arm_status arm_conv_partial_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-
-#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulator                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary input variables */
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counter                 */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds   
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
-    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally   
-     * divided into three stages according to the number of multiplications that has to be   
-     * taken place between inputA samples and inputB samples. In the first stage of the   
-     * algorithm, the multiplications increase by one for every iteration.   
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-     * In the third stage of the algorithm, the multiplications decrease by one   
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex   
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------   
-     * Initializations of stage1   
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]   
-     * sum = x[0] * y[1] + x[1] * y[0]   
-     * ....   
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed.   
-       Since the partial convolution starts from firstIndex   
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------   
-     * Stage1 process   
-     * ----------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations less than 4 */
-    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-    /* The first part of the stage starts here */
-    while((count < 4u) && (blockSize1 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over number of MAC operations between   
-       * inputA samples and inputB samples */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = __SMLALD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* The second part of the stage starts here */
-    /* The internal loop, over count, is unrolled by 4 */
-    /* To, read the last two inputB samples using SIMD:   
-     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-    py = py - 1;
-
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
-        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-        /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
-        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* For the next MAC operations, the pointer py is used without SIMD   
-       * So, py is incremented by 1 */
-      py = py + 1u;
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = __SMLALD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2 - 1u;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------   
-     * Initializations of stage2   
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-     * ....   
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-     */
-
-    /* Working pointer of inputA */
-    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
-    {
-      px = pIn1 + firstIndex - srcBLen + 1;
-    }
-    else
-    {
-      px = pIn1;
-    }
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-  /* count is the index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-
-  /* --------------------   
-   * Stage2 process   
-   * -------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      py = py - 1u;
-
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-
-      /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-      /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px+1);
-	  px+= 2u;
-
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the last two inputB samples using SIMD:   
-         * y[srcBLen - 1] and y[srcBLen - 2] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-        acc0 = __SMLALDX(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-        acc1 = __SMLALDX(x1, c0, acc1);
-
-        /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-        /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px+1);
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-        acc2 = __SMLALDX(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-        acc3 = __SMLALDX(x3, c0, acc3);
-
-        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-        acc0 = __SMLALDX(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-        acc1 = __SMLALDX(x3, c0, acc1);
-
-        /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px+2);
-
-        /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px+3);
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-        acc2 = __SMLALDX(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-        acc3 = __SMLALDX(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALD(x0, c0, acc0);
-        acc1 = __SMLALD(x1, c0, acc1);
-        acc2 = __SMLALDX(x1, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x0, c0, acc0);
-        acc1 = __SMLALDX(x1, c0, acc1);
-        acc2 = __SMLALDX(x3, c0, acc2);
-        acc3 = __SMLALDX(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x0, c0, acc0);
-        acc1 = __SMLALDX(x1, c0, acc1);
-        acc2 = __SMLALDX(x3, c0, acc2);
-        acc3 = __SMLALDX(x2, c0, acc3);
-
-		c0 = *(py-1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-        x3 =  _SIMD32_OFFSET(px+2);
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x1, c0, acc0);
-        acc1 = __SMLALD(x2, c0, acc1);
-        acc2 = __SMLALDX(x2, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-  	  
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
-
-        /* Increment the pointer pIn1 index, count by 1 */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,   
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-  
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------   
-     * Initializations of stage3   
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-     * ....   
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-     * sum +=  x[srcALen-1] * y[srcBLen-1]   
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    pIn2 = pSrc2 - 1u;
-    py = pIn2;
-
-    /* -------------------   
-     * Stage3 process   
-     * ------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations greater than 4 */
-    /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-    /* The first part of the stage starts here */
-    j = count >> 2u;
-
-    while((j > 0u) && (blockSize3 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
-         * with y[srcBLen - 1], y[srcBLen - 2] respectively */
-        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-        /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
-         * with y[srcBLen - 3], y[srcBLen - 4] respectively */
-        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* For the next MAC operations, the pointer py is used without SIMD   
-       * So, py is incremented by 1 */
-      py = py + 1u;
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
-        sum = __SMLALD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pIn2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-      j--;
-    }
-
-    /* The second part of the stage starts here */
-    /* SIMD is not used for the next MAC operations,   
-     * so pointer py is updated to read only one sample at a time */
-    py = py + 1u;
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum = __SMLALD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t *pIn1 = pSrcA;                           /* inputA pointer */
-  q15_t *pIn2 = pSrcB;                           /* inputB pointer */
-  q63_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counters */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-    /* Loop to calculate convolution for output length number of values */
-    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
-    {
-      /* Initialize sum with zero to carry on MAC operations */
-      sum = 0;
-
-      /* Loop to perform MAC operations according to convolution equation */
-      for (j = 0; j <= i; j++)
-      {
-        /* Check the array limitations */
-        if(((i - j) < srcBLen) && (j < srcALen))
-        {
-          /* z[i] += x[i-j] * y[j] */
-          sum += ((q31_t) pIn1[j] * (pIn2[i - j]));
-        }
-      }
-
-      /* Store the output in the destination buffer */
-      pDst[i] = (q15_t) __SSAT((sum >> 15u), 16u);
-    }
-    /* set status as ARM_SUCCESS as there are no argument errors */
-    status = ARM_MATH_SUCCESS;
-  }
-  return (status);
-
-#endif /* #if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)  */
-
-}
-
-/**   
- * @} end of PartialConv group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q31.c
deleted file mode 100644
index 98fc654b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q31.c
+++ /dev/null
@@ -1,607 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_q31.c    
-*    
-* Description:	Partial convolution of Q31 sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of Q31 sequences.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- *    
- * See arm_conv_partial_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- */
-
-arm_status arm_conv_partial_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t *pIn1;                                   /* inputA pointer               */
-  q31_t *pIn2;                                   /* inputB pointer               */
-  q31_t *pOut = pDst;                            /* output pointer               */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
-  q63_t sum, acc0, acc1, acc2;                   /* Accumulator                  */
-  q31_t x0, x1, x2, c0;
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counter                 */
-  arm_status status;                             /* status of Partial convolution */
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds    
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
-    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally    
-     * divided into three stages according to the number of multiplications that has to be    
-     * taken place between inputA samples and inputB samples. In the first stage of the    
-     * algorithm, the multiplications increase by one for every iteration.    
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-     * In the third stage of the algorithm, the multiplications decrease by one    
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex    
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------    
-     * Initializations of stage1    
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]    
-     * sum = x[0] * y[1] + x[1] * y[0]    
-     * ....    
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.    
-       The count variable holds the number of MAC operations performed.    
-       Since the partial convolution starts from firstIndex    
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------    
-     * Stage1 process    
-     * ----------------------*/
-
-    /* The first loop starts here */
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[0] * y[srcBLen - 1] */
-        sum += (q63_t) * px++ * (*py--);
-        /* x[1] * y[srcBLen - 2] */
-        sum += (q63_t) * px++ * (*py--);
-        /* x[2] * y[srcBLen - 3] */
-        sum += (q63_t) * px++ * (*py--);
-        /* x[3] * y[srcBLen - 4] */
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q31_t) (sum >> 31);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------    
-     * Initializations of stage2    
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-     * ....    
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-     */
-
-    /* Working pointer of inputA */
-    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
-    {
-      px = pIn1 + firstIndex - srcBLen + 1;
-    }
-    else
-    {
-      px = pIn1;
-    }
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-    /* -------------------    
-     * Stage2 process    
-     * ------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-     * So, to loop unroll over blockSize2,    
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blkCnt */
-
-      blkCnt = blockSize2 / 3;
-      while(blkCnt > 0u)
-      {
-        /* Set all accumulators to zero */
-        acc0 = 0;
-        acc1 = 0;
-        acc2 = 0;
-
-        /* read x[0], x[1] samples */
-        x0 = *(px++);
-        x1 = *(px++);
-
-        /* Apply loop unrolling and compute 3 MACs simultaneously. */
-        k = srcBLen / 3;
-
-        /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.        
-         ** a second loop below computes MACs for the remaining 1 to 2 samples. */
-        do
-        {
-          /* Read y[srcBLen - 1] sample */
-          c0 = *(py);
-
-          /* Read x[2] sample */
-          x2 = *(px);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[0] * y[srcBLen - 1] */
-          acc0 += (q63_t) x0 *c0;
-          /* acc1 +=  x[1] * y[srcBLen - 1] */
-          acc1 += (q63_t) x1 *c0;
-          /* acc2 +=  x[2] * y[srcBLen - 1] */
-          acc2 += (q63_t) x2 *c0;
-
-          /* Read y[srcBLen - 2] sample */
-          c0 = *(py - 1u);
-
-          /* Read x[3] sample */
-          x0 = *(px + 1u);
-
-          /* Perform the multiply-accumulate */
-          /* acc0 +=  x[1] * y[srcBLen - 2] */
-          acc0 += (q63_t) x1 *c0;
-          /* acc1 +=  x[2] * y[srcBLen - 2] */
-          acc1 += (q63_t) x2 *c0;
-          /* acc2 +=  x[3] * y[srcBLen - 2] */
-          acc2 += (q63_t) x0 *c0;
-
-          /* Read y[srcBLen - 3] sample */
-          c0 = *(py - 2u);
-
-          /* Read x[4] sample */
-          x1 = *(px + 2u);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[2] * y[srcBLen - 3] */
-          acc0 += (q63_t) x2 *c0;
-          /* acc1 +=  x[3] * y[srcBLen - 2] */
-          acc1 += (q63_t) x0 *c0;
-          /* acc2 +=  x[4] * y[srcBLen - 2] */
-          acc2 += (q63_t) x1 *c0;
-
-
-          px += 3u;
-
-          py -= 3u;
-
-        } while(--k);
-
-        /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.        
-         ** No loop unrolling is used. */
-        k = srcBLen - (3 * (srcBLen / 3));
-
-        while(k > 0u)
-        {
-          /* Read y[srcBLen - 5] sample */
-          c0 = *(py--);
-
-          /* Read x[7] sample */
-          x2 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[4] * y[srcBLen - 5] */
-          acc0 += (q63_t) x0 *c0;
-          /* acc1 +=  x[5] * y[srcBLen - 5] */
-          acc1 += (q63_t) x1 *c0;
-          /* acc2 +=  x[6] * y[srcBLen - 5] */
-          acc2 += (q63_t) x2 *c0;
-
-          /* Reuse the present samples for the next MAC */
-          x0 = x1;
-          x1 = x2;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q31_t) (acc0 >> 31);
-        *pOut++ = (q31_t) (acc1 >> 31);
-        *pOut++ = (q31_t) (acc2 >> 31);
-
-        /* Increment the pointer pIn1 index, count by 3 */
-        count += 3u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here.        
-       ** No loop unrolling is used. */
-      blkCnt = blockSize2 - 3 * (blockSize2 / 3);
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += (q63_t) * px++ * (*py--);
-          sum += (q63_t) * px++ * (*py--);
-          sum += (q63_t) * px++ * (*py--);
-          sum += (q63_t) * px++ * (*py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += (q63_t) * px++ * (*py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q31_t) (sum >> 31);
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,    
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += (q63_t) * px++ * (*py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q31_t) (sum >> 31);
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------    
-     * Initializations of stage3    
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-     * ....    
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-     * sum +=  x[srcALen-1] * y[srcBLen-1]    
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.    
-       The blockSize3 variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* -------------------    
-     * Stage3 process    
-     * ------------------*/
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q31_t) (sum >> 31);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t *pIn1 = pSrcA;                           /* inputA pointer */
-  q31_t *pIn2 = pSrcB;                           /* inputB pointer */
-  q63_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counters */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-    /* Loop to calculate convolution for output length number of values */
-    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
-    {
-      /* Initialize sum with zero to carry on MAC operations */
-      sum = 0;
-
-      /* Loop to perform MAC operations according to convolution equation */
-      for (j = 0; j <= i; j++)
-      {
-        /* Check the array limitations */
-        if(((i - j) < srcBLen) && (j < srcALen))
-        {
-          /* z[i] += x[i-j] * y[j] */
-          sum += ((q63_t) pIn1[j] * (pIn2[i - j]));
-        }
-      }
-
-      /* Store the output in the destination buffer */
-      pDst[i] = (q31_t) (sum >> 31u);
-    }
-    /* set status as ARM_SUCCESS as there are no argument errors */
-    status = ARM_MATH_SUCCESS;
-  }
-  return (status);
-
-#endif /*    #ifndef ARM_MATH_CM0_FAMILY      */
-
-}
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q7.c
deleted file mode 100644
index 65eaceaa..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q7.c
+++ /dev/null
@@ -1,741 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_partial_q7.c   
-*   
-* Description:	Partial convolution of Q7 sequences.   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup PartialConv   
- * @{   
- */
-
-/**   
- * @brief Partial convolution of Q7 sequences.   
- * @param[in]       *pSrcA points to the first input sequence.   
- * @param[in]       srcALen length of the first input sequence.   
- * @param[in]       *pSrcB points to the second input sequence.   
- * @param[in]       srcBLen length of the second input sequence.   
- * @param[out]      *pDst points to the location where the output result is written.   
- * @param[in]       firstIndex is the first output sample to start with.   
- * @param[in]       numPoints is the number of output points to be computed.   
- * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
- *  
- * \par    
- * Refer the function arm_conv_partial_opt_q7() for a faster implementation of this function.
- *  
- */
-
-arm_status arm_conv_partial_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t *pIn1;                                    /* inputA pointer */
-  q7_t *pIn2;                                    /* inputB pointer */
-  q7_t *pOut = pDst;                             /* output pointer */
-  q7_t *px;                                      /* Intermediate inputA pointer */
-  q7_t *py;                                      /* Intermediate inputB pointer */
-  q7_t *pSrc1, *pSrc2;                           /* Intermediate pointers */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q31_t input1, input2;
-  q15_t in1, in2;
-  q7_t x0, x1, x2, x3, c0, c1;
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counter */
-  arm_status status;
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds   
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
-    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally   
-     * divided into three stages according to the number of multiplications that has to be   
-     * taken place between inputA samples and inputB samples. In the first stage of the   
-     * algorithm, the multiplications increase by one for every iteration.   
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-     * In the third stage of the algorithm, the multiplications decrease by one   
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex   
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------   
-     * Initializations of stage1   
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]   
-     * sum = x[0] * y[1] + x[1] * y[0]   
-     * ....   
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed.   
-       Since the partial convolution starts from from firstIndex   
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------   
-     * Stage1 process   
-     * ----------------------*/
-
-    /* The first stage starts here */
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[0] , x[1] */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* y[srcBLen - 1] , y[srcBLen - 2] */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* x[0] * y[srcBLen - 1] */
-        /* x[1] * y[srcBLen - 2] */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* x[2] , x[3] */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* y[srcBLen - 3] , y[srcBLen - 4] */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* x[2] * y[srcBLen - 3] */
-        /* x[3] * y[srcBLen - 4] */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------   
-     * Initializations of stage2   
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-     * ....   
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-     */
-
-    /* Working pointer of inputA */
-    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
-    {
-      px = pIn1 + firstIndex - srcBLen + 1;
-    }
-    else
-    {
-      px = pIn1;
-    }
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-    /* -------------------   
-     * Stage2 process   
-     * ------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-     * So, to loop unroll over blockSize2,   
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blockSize2, by 4 */
-      blkCnt = ((uint32_t) blockSize2 >> 2u);
-
-      while(blkCnt > 0u)
-      {
-        /* Set all accumulators to zero */
-        acc0 = 0;
-        acc1 = 0;
-        acc2 = 0;
-        acc3 = 0;
-
-        /* read x[0], x[1], x[2] samples */
-        x0 = *(px++);
-        x1 = *(px++);
-        x2 = *(px++);
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        do
-        {
-          /* Read y[srcBLen - 1] sample */
-          c0 = *(py--);
-          /* Read y[srcBLen - 2] sample */
-          c1 = *(py--);
-
-          /* Read x[3] sample */
-          x3 = *(px++);
-
-          /* x[0] and x[1] are packed */
-          in1 = (q15_t) x0;
-          in2 = (q15_t) x1;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* y[srcBLen - 1]   and y[srcBLen - 2] are packed */
-          in1 = (q15_t) c0;
-          in2 = (q15_t) c1;
-
-          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2]  */
-          acc0 = __SMLAD(input1, input2, acc0);
-
-          /* x[1] and x[2] are packed */
-          in1 = (q15_t) x1;
-          in2 = (q15_t) x2;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2]  */
-          acc1 = __SMLAD(input1, input2, acc1);
-
-          /* x[2] and x[3] are packed */
-          in1 = (q15_t) x2;
-          in2 = (q15_t) x3;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2]  */
-          acc2 = __SMLAD(input1, input2, acc2);
-
-          /* Read x[4] sample */
-          x0 = *(px++);
-
-          /* x[3] and x[4] are packed */
-          in1 = (q15_t) x3;
-          in2 = (q15_t) x0;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2]  */
-          acc3 = __SMLAD(input1, input2, acc3);
-
-          /* Read y[srcBLen - 3] sample */
-          c0 = *(py--);
-          /* Read y[srcBLen - 4] sample */
-          c1 = *(py--);
-
-          /* Read x[5] sample */
-          x1 = *(px++);
-
-          /* x[2] and x[3] are packed */
-          in1 = (q15_t) x2;
-          in2 = (q15_t) x3;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
-          in1 = (q15_t) c0;
-          in2 = (q15_t) c1;
-
-          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4]  */
-          acc0 = __SMLAD(input1, input2, acc0);
-
-          /* x[3] and x[4] are packed */
-          in1 = (q15_t) x3;
-          in2 = (q15_t) x0;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4]  */
-          acc1 = __SMLAD(input1, input2, acc1);
-
-          /* x[4] and x[5] are packed */
-          in1 = (q15_t) x0;
-          in2 = (q15_t) x1;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4]  */
-          acc2 = __SMLAD(input1, input2, acc2);
-
-          /* Read x[6] sample */
-          x2 = *(px++);
-
-          /* x[5] and x[6] are packed */
-          in1 = (q15_t) x1;
-          in2 = (q15_t) x2;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4]  */
-          acc3 = __SMLAD(input1, input2, acc3);
-
-        } while(--k);
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Read y[srcBLen - 5] sample */
-          c0 = *(py--);
-
-          /* Read x[7] sample */
-          x3 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[4] * y[srcBLen - 5] */
-          acc0 += ((q31_t) x0 * c0);
-          /* acc1 +=  x[5] * y[srcBLen - 5] */
-          acc1 += ((q31_t) x1 * c0);
-          /* acc2 +=  x[6] * y[srcBLen - 5] */
-          acc2 += ((q31_t) x2 * c0);
-          /* acc3 +=  x[7] * y[srcBLen - 5] */
-          acc3 += ((q31_t) x3 * c0);
-
-          /* Reuse the present samples for the next MAC */
-          x0 = x1;
-          x1 = x2;
-          x2 = x3;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q7_t) (__SSAT(acc0 >> 7, 8));
-        *pOut++ = (q7_t) (__SSAT(acc1 >> 7, 8));
-        *pOut++ = (q7_t) (__SSAT(acc2 >> 7, 8));
-        *pOut++ = (q7_t) (__SSAT(acc3 >> 7, 8));
-
-        /* Increment the pointer pIn1 index, count by 4 */
-        count += 4u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-
-          /* Reading two inputs of SrcA buffer and packing */
-          in1 = (q15_t) * px++;
-          in2 = (q15_t) * px++;
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* Reading two inputs of SrcB buffer and packing */
-          in1 = (q15_t) * py--;
-          in2 = (q15_t) * py--;
-          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* Perform the multiply-accumulates */
-          sum = __SMLAD(input1, input2, sum);
-
-          /* Reading two inputs of SrcA buffer and packing */
-          in1 = (q15_t) * px++;
-          in2 = (q15_t) * px++;
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* Reading two inputs of SrcB buffer and packing */
-          in1 = (q15_t) * py--;
-          in2 = (q15_t) * py--;
-          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* Perform the multiply-accumulates */
-          sum = __SMLAD(input1, input2, sum);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
-
-        /* Increment the pointer pIn1 index, count by 1 */
- 	    count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-      	px = pIn1 + count;
-        py = pSrc2;	
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,   
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------   
-     * Initializations of stage3   
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-     * ....   
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-     * sum +=  x[srcALen-1] * y[srcBLen-1]   
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* -------------------   
-     * Stage3 process   
-     * ------------------*/
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q7_t *pIn1 = pSrcA;                            /* inputA pointer */
-  q7_t *pIn2 = pSrcB;                            /* inputB pointer */
-  q31_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counters */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-    /* Loop to calculate convolution for output length number of values */
-    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
-    {
-      /* Initialize sum with zero to carry on MAC operations */
-      sum = 0;
-
-      /* Loop to perform MAC operations according to convolution equation */
-      for (j = 0; j <= i; j++)
-      {
-        /* Check the array limitations */
-        if(((i - j) < srcBLen) && (j < srcALen))
-        {
-          /* z[i] += x[i-j] * y[j] */
-          sum += ((q15_t) pIn1[j] * (pIn2[i - j]));
-        }
-      }
-
-      /* Store the output in the destination buffer */
-      pDst[i] = (q7_t) __SSAT((sum >> 7u), 8u);
-    }
-    /* set status as ARM_SUCCESS as there are no argument errors */
-    status = ARM_MATH_SUCCESS;
-  }
-  return (status);
-
-#endif /*  #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**   
- * @} end of PartialConv group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q15.c
deleted file mode 100644
index a3c37746..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q15.c
+++ /dev/null
@@ -1,734 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_q15.c   
-*   
-* Description:	Convolution of Q15 sequences.     
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Conv   
- * @{   
- */
-
-/**   
- * @brief Convolution of Q15 sequences.   
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.   
- * @return none.   
- *   
- * @details   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * The function is implemented using a 64-bit internal accumulator.   
- * Both inputs are in 1.15 format and multiplications yield a 2.30 result.   
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.   
- * This approach provides 33 guard bits and there is no risk of overflow.   
- * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.   
- *   
- * \par   
- * Refer to arm_conv_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. 
- *
- * \par    
- * Refer the function arm_conv_opt_q15() for a faster implementation of this function using scratch buffers.
- *  
- */
-
-void arm_conv_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst)
-{
-
-#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *pOut = pDst;                            /* output pointer */
-  q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
-  uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt;     /* loop counter */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally   
-   * divided into three stages according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first stage of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-   * In the third stage of the algorithm, the multiplications decrease by one   
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.   
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]   
-   * sum = x[0] * y[1] + x[1] * y[0]   
-   * ....   
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations less than 4 */
-  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  while((count < 4u) && (blockSize1 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Loop over number of MAC operations between   
-     * inputA samples and inputB samples */
-    k = count;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLALD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* The second part of the stage starts here */
-  /* The internal loop, over count, is unrolled by 4 */
-  /* To, read the last two inputB samples using SIMD:   
-   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-  py = py - 1;
-
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
-      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-      /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
-      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* For the next MAC operations, the pointer py is used without SIMD   
-     * So, py is incremented by 1 */
-    py = py + 1u;
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLALD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + (count - 1u);
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is the index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-
-  /* --------------------   
-   * Stage2 process   
-   * -------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      py = py - 1u;
-
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-
-      /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-      /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px+1);
-	  px+= 2u;
-
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the last two inputB samples using SIMD:   
-         * y[srcBLen - 1] and y[srcBLen - 2] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-        acc0 = __SMLALDX(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-        acc1 = __SMLALDX(x1, c0, acc1);
-
-        /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-        /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px+1);
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-        acc2 = __SMLALDX(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-        acc3 = __SMLALDX(x3, c0, acc3);
-
-        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-        acc0 = __SMLALDX(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-        acc1 = __SMLALDX(x3, c0, acc1);
-
-        /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px+2);
-
-        /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px+3);
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-        acc2 = __SMLALDX(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-        acc3 = __SMLALDX(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-        /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALD(x0, c0, acc0);
-        acc1 = __SMLALD(x1, c0, acc1);
-        acc2 = __SMLALDX(x1, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x0, c0, acc0);
-        acc1 = __SMLALDX(x1, c0, acc1);
-        acc2 = __SMLALDX(x3, c0, acc2);
-        acc3 = __SMLALDX(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x0, c0, acc0);
-        acc1 = __SMLALDX(x1, c0, acc1);
-        acc2 = __SMLALDX(x3, c0, acc2);
-        acc3 = __SMLALDX(x2, c0, acc3);
-
-		c0 = *(py-1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-        /* Read x[10] */
-        x3 =  _SIMD32_OFFSET(px+2);
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x1, c0, acc0);
-        acc1 = __SMLALD(x2, c0, acc1);
-        acc2 = __SMLALDX(x2, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-       /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-   * sum +=  x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  blockSize3 = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  pIn2 = pSrc2 - 1u;
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations greater than 4 */
-  /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  j = blockSize3 >> 2u;
-
-  while((j > 0u) && (blockSize3 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
-       * with y[srcBLen - 1], y[srcBLen - 2] respectively */
-      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-      /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
-       * with y[srcBLen - 3], y[srcBLen - 4] respectively */
-      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* For the next MAC operations, the pointer py is used without SIMD   
-     * So, py is incremented by 1 */
-    py = py + 1u;
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
-      sum = __SMLALD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-
-    j--;
-  }
-
-  /* The second part of the stage starts here */
-  /* SIMD is not used for the next MAC operations,   
-   * so pointer py is updated to read only one sample at a time */
-  py = py + 1u;
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-      sum = __SMLALD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  q15_t *pIn1 = pSrcA;                           /* input pointer */
-  q15_t *pIn2 = pSrcB;                           /* coefficient pointer */
-  q63_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counter */
-
-  /* Loop to calculate output of convolution for output length number of times */
-  for (i = 0; i < (srcALen + srcBLen - 1); i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if(((i - j) < srcBLen) && (j < srcALen))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += (q31_t) pIn1[j] * (pIn2[i - j]);
-      }
-    }
-
-    /* Store the output in the destination buffer */
-    pDst[i] = (q15_t) __SSAT((sum >> 15u), 16u);
-  }
-
-#endif /*  #if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)*/
-
-}
-
-/**   
- * @} end of Conv group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c
deleted file mode 100644
index c108bed1..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c
+++ /dev/null
@@ -1,565 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_q31.c    
-*    
-* Description:	Convolution of Q31 sequences.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @brief Convolution of Q31 sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * There is no saturation on intermediate additions.    
- * Thus, if the accumulator overflows it wraps around and distorts the result.    
- * The input signals should be scaled down to avoid intermediate overflows.    
- * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,    
- * as maximum of min(srcALen, srcBLen) number of additions are carried internally.    
- * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.    
- *    
- * \par    
- * See arm_conv_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_conv_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst)
-{
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t *pIn1;                                   /* inputA pointer */
-  q31_t *pIn2;                                   /* inputB pointer */
-  q31_t *pOut = pDst;                            /* output pointer */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
-  q63_t sum;                                     /* Accumulator */
-  q63_t acc0, acc1, acc2;                        /* Accumulator */
-  q31_t x0, x1, x2, c0;                          /* Temporary variables to hold state and coefficient values */
-  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counter */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (q31_t *) pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = (q31_t *) pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally    
-   * divided into three stages according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first stage of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-   * In the third stage of the algorithm, the multiplications decrease by one    
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.    
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * Initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]    
-   * sum = x[0] * y[1] + x[1] * y[0]    
-   * ....    
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 1] */
-      sum += (q63_t) * px++ * (*py--);
-      /* x[1] * y[srcBLen - 2] */
-      sum += (q63_t) * px++ * (*py--);
-      /* x[2] * y[srcBLen - 3] */
-      sum += (q63_t) * px++ * (*py--);
-      /* x[3] * y[srcBLen - 4] */
-      sum += (q63_t) * px++ * (*py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (q63_t) * px++ * (*py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q31_t) (sum >> 31);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll by 3 */
-    blkCnt = blockSize2 / 3;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-
-      /* Apply loop unrolling and compute 3 MACs simultaneously. */
-      k = srcBLen / 3;
-
-      /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.        
-       ** a second loop below computes MACs for the remaining 1 to 2 samples. */
-      do
-      {
-        /* Read y[srcBLen - 1] sample */
-        c0 = *(py);
-
-        /* Read x[3] sample */
-        x2 = *(px);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[0] * y[srcBLen - 1] */
-        acc0 += ((q63_t) x0 * c0);
-        /* acc1 +=  x[1] * y[srcBLen - 1] */
-        acc1 += ((q63_t) x1 * c0);
-        /* acc2 +=  x[2] * y[srcBLen - 1] */
-        acc2 += ((q63_t) x2 * c0);
-
-        /* Read y[srcBLen - 2] sample */
-        c0 = *(py - 1u);
-
-        /* Read x[4] sample */
-        x0 = *(px + 1u);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[1] * y[srcBLen - 2] */
-        acc0 += ((q63_t) x1 * c0);
-        /* acc1 +=  x[2] * y[srcBLen - 2] */
-        acc1 += ((q63_t) x2 * c0);
-        /* acc2 +=  x[3] * y[srcBLen - 2] */
-        acc2 += ((q63_t) x0 * c0);
-
-        /* Read y[srcBLen - 3] sample */
-        c0 = *(py - 2u);
-
-        /* Read x[5] sample */
-        x1 = *(px + 2u);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[srcBLen - 3] */
-        acc0 += ((q63_t) x2 * c0);
-        /* acc1 +=  x[3] * y[srcBLen - 2] */
-        acc1 += ((q63_t) x0 * c0);
-        /* acc2 +=  x[4] * y[srcBLen - 2] */
-        acc2 += ((q63_t) x1 * c0);
-
-        /* update scratch pointers */
-        px += 3u;
-        py -= 3u;
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.        
-       ** No loop unrolling is used. */
-      k = srcBLen - (3 * (srcBLen / 3));
-
-      while(k > 0u)
-      {
-        /* Read y[srcBLen - 5] sample */
-        c0 = *(py--);
-
-        /* Read x[7] sample */
-        x2 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[srcBLen - 5] */
-        acc0 += ((q63_t) x0 * c0);
-        /* acc1 +=  x[5] * y[srcBLen - 5] */
-        acc1 += ((q63_t) x1 * c0);
-        /* acc2 +=  x[6] * y[srcBLen - 5] */
-        acc2 += ((q63_t) x2 * c0);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the results in the accumulators in the destination buffer. */
-      *pOut++ = (q31_t) (acc0 >> 31);
-      *pOut++ = (q31_t) (acc1 >> 31);
-      *pOut++ = (q31_t) (acc2 >> 31);
-
-      /* Increment the pointer pIn1 index, count by 3 */
-      count += 3u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here.        
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 - 3 * (blockSize2 / 3);
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q31_t) (sum >> 31);
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q31_t) (sum >> 31);
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-   * sum +=  x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-      sum += (q63_t) * px++ * (*py--);
-      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-      sum += (q63_t) * px++ * (*py--);
-      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-      sum += (q63_t) * px++ * (*py--);
-      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-      sum += (q63_t) * px++ * (*py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (q63_t) * px++ * (*py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q31_t) (sum >> 31);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t *pIn1 = pSrcA;                           /* input pointer */
-  q31_t *pIn2 = pSrcB;                           /* coefficient pointer */
-  q63_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counter */
-
-  /* Loop to calculate output of convolution for output length number of times */
-  for (i = 0; i < (srcALen + srcBLen - 1); i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if(((i - j) < srcBLen) && (j < srcALen))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += ((q63_t) pIn1[j] * (pIn2[i - j]));
-      }
-    }
-
-    /* Store the output in the destination buffer */
-    pDst[i] = (q31_t) (sum >> 31u);
-  }
-
-#endif /*     #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of Conv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q7.c
deleted file mode 100644
index 12a00554..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q7.c
+++ /dev/null
@@ -1,690 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_q7.c   
-*   
-* Description:	Convolution of Q7 sequences. 
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Conv   
- * @{   
- */
-
-/**   
- * @brief Convolution of Q7 sequences.   
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.   
- * @return none.   
- *   
- * @details   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * The function is implemented using a 32-bit internal accumulator.   
- * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.   
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.   
- * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.   
- * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.   
- *
- * \par    
- * Refer the function arm_conv_opt_q7() for a faster implementation of this function.
- * 
- */
-
-void arm_conv_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst)
-{
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t *pIn1;                                    /* inputA pointer */
-  q7_t *pIn2;                                    /* inputB pointer */
-  q7_t *pOut = pDst;                             /* output pointer */
-  q7_t *px;                                      /* Intermediate inputA pointer */
-  q7_t *py;                                      /* Intermediate inputB pointer */
-  q7_t *pSrc1, *pSrc2;                           /* Intermediate pointers */
-  q7_t x0, x1, x2, x3, c0, c1;                   /* Temporary variables to hold state and coefficient values */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q31_t input1, input2;                          /* Temporary input variables */
-  q15_t in1, in2;                                /* Temporary input variables */
-  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counter */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally   
-   * divided into three stages according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first stage of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-   * In the third stage of the algorithm, the multiplications decrease by one   
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.   
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = (srcALen - srcBLen) + 1u;
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]   
-   * sum = x[0] * y[1] + x[1] * y[0]   
-   * ....   
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] , x[1] */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* y[srcBLen - 1] , y[srcBLen - 2] */
-      in1 = (q15_t) * py--;
-      in2 = (q15_t) * py--;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* x[0] * y[srcBLen - 1] */
-      /* x[1] * y[srcBLen - 2] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* x[2] , x[3] */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* y[srcBLen - 3] , y[srcBLen - 4] */
-      in1 = (q15_t) * py--;
-      in2 = (q15_t) * py--;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* x[2] * y[srcBLen - 3] */
-      /* x[3] * y[srcBLen - 4] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += ((q15_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------   
-   * Stage2 process   
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-      x2 = *(px++);
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[srcBLen - 1] sample */
-        c0 = *(py--);
-        /* Read y[srcBLen - 2] sample */
-        c1 = *(py--);
-
-        /* Read x[3] sample */
-        x3 = *(px++);
-
-        /* x[0] and x[1] are packed */
-        in1 = (q15_t) x0;
-        in2 = (q15_t) x1;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* y[srcBLen - 1]   and y[srcBLen - 2] are packed */
-        in1 = (q15_t) c0;
-        in2 = (q15_t) c1;
-
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2]  */
-        acc0 = __SMLAD(input1, input2, acc0);
-
-        /* x[1] and x[2] are packed */
-        in1 = (q15_t) x1;
-        in2 = (q15_t) x2;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2]  */
-        acc1 = __SMLAD(input1, input2, acc1);
-
-        /* x[2] and x[3] are packed */
-        in1 = (q15_t) x2;
-        in2 = (q15_t) x3;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2]  */
-        acc2 = __SMLAD(input1, input2, acc2);
-
-        /* Read x[4] sample */
-        x0 = *(px++);
-
-        /* x[3] and x[4] are packed */
-        in1 = (q15_t) x3;
-        in2 = (q15_t) x0;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2]  */
-        acc3 = __SMLAD(input1, input2, acc3);
-
-        /* Read y[srcBLen - 3] sample */
-        c0 = *(py--);
-        /* Read y[srcBLen - 4] sample */
-        c1 = *(py--);
-
-        /* Read x[5] sample */
-        x1 = *(px++);
-
-        /* x[2] and x[3] are packed */
-        in1 = (q15_t) x2;
-        in2 = (q15_t) x3;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
-        in1 = (q15_t) c0;
-        in2 = (q15_t) c1;
-
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4]  */
-        acc0 = __SMLAD(input1, input2, acc0);
-
-        /* x[3] and x[4] are packed */
-        in1 = (q15_t) x3;
-        in2 = (q15_t) x0;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4]  */
-        acc1 = __SMLAD(input1, input2, acc1);
-
-        /* x[4] and x[5] are packed */
-        in1 = (q15_t) x0;
-        in2 = (q15_t) x1;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4]  */
-        acc2 = __SMLAD(input1, input2, acc2);
-
-        /* Read x[6] sample */
-        x2 = *(px++);
-
-        /* x[5] and x[6] are packed */
-        in1 = (q15_t) x1;
-        in2 = (q15_t) x2;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4]  */
-        acc3 = __SMLAD(input1, input2, acc3);
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[srcBLen - 5] sample */
-        c0 = *(py--);
-
-        /* Read x[7] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[srcBLen - 5] */
-        acc0 += ((q15_t) x0 * c0);
-        /* acc1 +=  x[5] * y[srcBLen - 5] */
-        acc1 += ((q15_t) x1 * c0);
-        /* acc2 +=  x[6] * y[srcBLen - 5] */
-        acc2 += ((q15_t) x2 * c0);
-        /* acc3 +=  x[7] * y[srcBLen - 5] */
-        acc3 += ((q15_t) x3 * c0);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
-      *pOut++ = (q7_t) (__SSAT(acc1 >> 7u, 8));
-      *pOut++ = (q7_t) (__SSAT(acc2 >> 7u, 8));
-      *pOut++ = (q7_t) (__SSAT(acc3 >> 7u, 8));
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-
-        /* Reading two inputs of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* Reading two inputs of SrcB buffer and packing */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Reading two inputs of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* Reading two inputs of SrcB buffer and packing */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q15_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q15_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-   * sum +=  x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
-      in1 = (q15_t) * py--;
-      in2 = (q15_t) * py--;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
-      in1 = (q15_t) * py--;
-      in2 = (q15_t) * py--;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += ((q15_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q7_t *pIn1 = pSrcA;                            /* input pointer */
-  q7_t *pIn2 = pSrcB;                            /* coefficient pointer */
-  q31_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counter */
-
-  /* Loop to calculate output of convolution for output length number of times */
-  for (i = 0; i < (srcALen + srcBLen - 1); i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if(((i - j) < srcBLen) && (j < srcALen))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += (q15_t) pIn1[j] * (pIn2[i - j]);
-      }
-    }
-
-    /* Store the output in the destination buffer */
-    pDst[i] = (q7_t) __SSAT((sum >> 7u), 8u);
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY        */
-
-}
-
-/**   
- * @} end of Conv group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_f32.c
deleted file mode 100644
index 6a8127b8..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_f32.c
+++ /dev/null
@@ -1,739 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_f32.c    
-*    
-* Description:	 Correlation of floating-point sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup Corr Correlation    
- *    
- * Correlation is a mathematical operation that is similar to convolution.    
- * As with convolution, correlation uses two signals to produce a third signal.    
- * The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution.    
- * Correlation is commonly used to measure the similarity between two signals.    
- * It has applications in pattern recognition, cryptanalysis, and searching.    
- * The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types.    
- * Fast versions of the Q15 and Q31 functions are also provided.    
- *    
- * \par Algorithm    
- * Let a[n] and b[n] be sequences of length srcALen and srcBLen samples respectively.    
- * The convolution of the two signals is denoted by    
- * 
    
- *                   c[n] = a[n] * b[n]    
- * 
    
- * In correlation, one of the signals is flipped in time    
- * 
    
- *                   c[n] = a[n] * b[-n]    
- * 
    
- *    
- * \par    
- * and this is mathematically defined as    
- * \image html CorrelateEquation.gif    
- * \par    
- * The pSrcA points to the first input vector of length srcALen and pSrcB points to the second input vector of length srcBLen.    
- * The result c[n] is of length 2 * max(srcALen, srcBLen) - 1 and is defined over the interval n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2).    
- * The output result is written to pDst and the calling function must allocate 2 * max(srcALen, srcBLen) - 1 words for the result.    
- *    
- * Note   
- * \par  
- * The pDst should be initialized to all zeros before being used.  
- *  
- * Fixed-Point Behavior    
- * \par    
- * Correlation requires summing up a large number of intermediate products.    
- * As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.    
- * Refer to the function specific documentation below for further details of the particular algorithm used.    
- *
- *
- * Fast Versions
- *
- * \par 
- * Fast versions are supported for Q31 and Q15.  Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires
- * the input signals should be scaled down to avoid intermediate overflows.   
- *
- *
- * Opt Versions
- *
- * \par 
- * Opt versions are supported for Q15 and Q7.  Design uses internal scratch buffer for getting good optimisation.
- * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of correlate 
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-/**    
- * @brief Correlation of floating-point sequences.    
- * @param[in]  *pSrcA points to the first input sequence.    
- * @param[in]  srcALen length of the first input sequence.    
- * @param[in]  *pSrcB points to the second input sequence.    
- * @param[in]  srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @return none.    
- */
-
-void arm_correlate_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst)
-{
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t *pIn1;                               /* inputA pointer */
-  float32_t *pIn2;                               /* inputB pointer */
-  float32_t *pOut = pDst;                        /* output pointer */
-  float32_t *px;                                 /* Intermediate inputA pointer */
-  float32_t *py;                                 /* Intermediate inputB pointer */
-  float32_t *pSrc1;                              /* Intermediate pointers */
-  float32_t sum, acc0, acc1, acc2, acc3;         /* Accumulators */
-  float32_t x0, x1, x2, x3, c0;                  /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counters */
-  int32_t inc = 1;                               /* Destination address modifier */
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,    
-   * we assume zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,    
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,    
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding has to be done to srcB    
-     * to make their lengths equal.    
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))    
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-    //while(j > 0u)   
-    //{   
-    //  /* Zero is stored in the destination buffer */   
-    //  *pOut++ = 0.0f;   
-
-    //  /* Decrement the loop counter */   
-    //  j--;   
-    //}   
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally    
-   * divided into three parts according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first part of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second part of the algorithm, srcBLen number of multiplications are done.    
-   * In the third part of the algorithm, the multiplications decrease by one    
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.    
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * Initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]    
-   * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1]    
-   * ....    
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0.0f;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] */
-      sum += *px++ * *py++;
-      /* x[1] * y[srcBLen - 3] */
-      sum += *px++ * *py++;
-      /* x[2] * y[srcBLen - 2] */
-      sum += *px++ * *py++;
-      /* x[3] * y[srcBLen - 1] */
-      sum += *px++ * *py++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      /* x[0] * y[srcBLen - 1] */
-      sum += *px++ * *py++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = sum;
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]    
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0.0f;
-      acc1 = 0.0f;
-      acc2 = 0.0f;
-      acc3 = 0.0f;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-      x2 = *(px++);
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[0] sample */
-        c0 = *(py++);
-
-        /* Read x[3] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[0] * y[0] */
-        acc0 += x0 * c0;
-        /* acc1 +=  x[1] * y[0] */
-        acc1 += x1 * c0;
-        /* acc2 +=  x[2] * y[0] */
-        acc2 += x2 * c0;
-        /* acc3 +=  x[3] * y[0] */
-        acc3 += x3 * c0;
-
-        /* Read y[1] sample */
-        c0 = *(py++);
-
-        /* Read x[4] sample */
-        x0 = *(px++);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[1] * y[1] */
-        acc0 += x1 * c0;
-        /* acc1 +=  x[2] * y[1] */
-        acc1 += x2 * c0;
-        /* acc2 +=  x[3] * y[1] */
-        acc2 += x3 * c0;
-        /* acc3 +=  x[4] * y[1] */
-        acc3 += x0 * c0;
-
-        /* Read y[2] sample */
-        c0 = *(py++);
-
-        /* Read x[5] sample */
-        x1 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[2] */
-        acc0 += x2 * c0;
-        /* acc1 +=  x[3] * y[2] */
-        acc1 += x3 * c0;
-        /* acc2 +=  x[4] * y[2] */
-        acc2 += x0 * c0;
-        /* acc3 +=  x[5] * y[2] */
-        acc3 += x1 * c0;
-
-        /* Read y[3] sample */
-        c0 = *(py++);
-
-        /* Read x[6] sample */
-        x2 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[3] * y[3] */
-        acc0 += x3 * c0;
-        /* acc1 +=  x[4] * y[3] */
-        acc1 += x0 * c0;
-        /* acc2 +=  x[5] * y[3] */
-        acc2 += x1 * c0;
-        /* acc3 +=  x[6] * y[3] */
-        acc3 += x2 * c0;
-
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[4] sample */
-        c0 = *(py++);
-
-        /* Read x[7] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[4] */
-        acc0 += x0 * c0;
-        /* acc1 +=  x[5] * y[4] */
-        acc1 += x1 * c0;
-        /* acc2 +=  x[6] * y[4] */
-        acc2 += x2 * c0;
-        /* acc3 +=  x[7] * y[4] */
-        acc3 += x3 * c0;
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = acc0;
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = acc1;
-      pOut += inc;
-
-      *pOut = acc2;
-      pOut += inc;
-
-      *pOut = acc3;
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += *px++ * *py++;
-        sum += *px++ * *py++;
-        sum += *px++ * *py++;
-        sum += *px++ * *py++;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += *px++ * *py++;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = sum;
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += *px++ * *py++;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = sum;
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]    
-   * sum +=  x[srcALen-1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0.0f;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] */
-      sum += *px++ * *py++;
-      /* sum += x[srcALen - srcBLen + 3] * y[2] */
-      sum += *px++ * *py++;
-      /* sum += x[srcALen - srcBLen + 2] * y[1] */
-      sum += *px++ * *py++;
-      /* sum += x[srcALen - srcBLen + 1] * y[0] */
-      sum += *px++ * *py++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += *px++ * *py++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = sum;
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
-  float32_t *pIn2 = pSrcB + (srcBLen - 1u);      /* inputB pointer */
-  float32_t sum;                                 /* Accumulator */
-  uint32_t i = 0u, j;                            /* loop counters */
-  uint32_t inv = 0u;                             /* Reverse order flag */
-  uint32_t tot = 0u;                             /* Length */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and a varaible, inv is set to 1 */
-  /* If lengths are not equal then zero pad has to be done to  make the two    
-   * inputs of same length. But to improve the performance, we assume zeroes    
-   * in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the    
-   * starting of the output buffer */
-  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the   
-   * ending of the output buffer */
-  /* Once the zero padding is done the remaining of the output is calcualted   
-   * using convolution but with the shorter signal time shifted. */
-
-  /* Calculate the length of the remaining sequence */
-  tot = ((srcALen + srcBLen) - 2u);
-
-  if(srcALen > srcBLen)
-  {
-    /* Calculating the number of zeros to be padded to the output */
-    j = srcALen - srcBLen;
-
-    /* Initialise the pointer after zero padding */
-    pDst += j;
-  }
-
-  else if(srcALen < srcBLen)
-  {
-    /* Initialization to inputB pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization to the end of inputA pointer */
-    pIn2 = pSrcA + (srcALen - 1u);
-
-    /* Initialisation of the pointer after zero padding */
-    pDst = pDst + tot;
-
-    /* Swapping the lengths */
-    j = srcALen;
-    srcALen = srcBLen;
-    srcBLen = j;
-
-    /* Setting the reverse flag */
-    inv = 1;
-
-  }
-
-  /* Loop to calculate convolution for output length number of times */
-  for (i = 0u; i <= tot; i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0.0f;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0u; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if((((i - j) < srcBLen) && (j < srcALen)))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += pIn1[j] * pIn2[-((int32_t) i - j)];
-      }
-    }
-    /* Store the output in the destination buffer */
-    if(inv == 1)
-      *pDst-- = sum;
-    else
-      *pDst++ = sum;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
deleted file mode 100644
index 7aa289fd..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
+++ /dev/null
@@ -1,512 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_fast_opt_q15.c    
-*    
-* Description:	Fast Q15 Correlation.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-
-/**    
- * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
- * @return none.    
- *    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch buffers should be aligned by 32-bit    
- *    
- *     
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This fast version uses a 32-bit accumulator with 2.30 format.    
- * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * There is no saturation on intermediate additions.    
- * Thus, if the accumulator overflows it wraps around and distorts the result.    
- * The input signals should be scaled down to avoid intermediate overflows.    
- * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a    
- * maximum of min(srcALen, srcBLen) number of additions is carried internally.    
- * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.    
- *    
- * \par    
- * See arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.    
- */
-
-void arm_correlate_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch)
-{
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators                  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t x1, x2, x3;                              /* temporary variables for holding input and coefficient values */
-  uint32_t j, blkCnt, outBlockSize;              /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-  uint32_t tapCnt;
-  q31_t y1, y2;
-  q15_t *pScr;                                   /* Intermediate pointers        */
-  q15_t *pOut = pDst;                            /* output pointer               */
-#ifdef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t a, b;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,        
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB        
-     * to make their lengths equal.        
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))        
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  pScr = pScratch;
-
-  /* Fill (srcBLen - 1u) zeros in scratch buffer */
-  arm_fill_q15(0, pScr, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr += (srcBLen - 1u);
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Copy (srcALen) samples in scratch buffer */
-  arm_copy_q15(pIn1, pScr, srcALen);
-
-  /* Update pointers */
-  pScr += srcALen;
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  j = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  j = srcALen % 0x4u;
-
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr += (srcBLen - 1u);
-
-#else
-
-/* Apply loop unrolling and do 4 Copies simultaneously. */
-  j = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr++ = 0;
-    *pScr++ = 0;
-    *pScr++ = 0;
-    *pScr++ = 0;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  j = (srcBLen - 1u) % 0x4u;
-
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr++ = 0;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* Temporary pointer for scratch2 */
-  py = pIn2;
-
-
-  /* Actual correlation process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr = pScratch;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read four samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr)++;
-
-    /* Read next four samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pIn2);
-      y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-      acc0 = __SMLAD(x1, y1, acc0);
-
-      acc2 = __SMLAD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      x1 = _SIMD32_OFFSET(pScr);
-
-      acc0 = __SMLAD(x2, y2, acc0);
-
-      acc2 = __SMLAD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      acc1 = __SMLADX(x3, y2, acc1);
-
-      x2 = _SIMD32_OFFSET(pScr + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y2, acc3);
-#else	 
-
-      /* Read four samples from smaller buffer */
-	  a = *pIn2;
-	  b = *(pIn2 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      y1 = __PKHBT(a, b, 16);
-#else
-      y1 = __PKHBT(b, a, 16);
-#endif
-	  
-	  a = *(pIn2 + 2);
-	  b = *(pIn2 + 3);
-#ifndef ARM_MATH_BIG_ENDIAN
-      y2 = __PKHBT(a, b, 16);
-#else
-      y2 = __PKHBT(b, a, 16);
-#endif				
-
-      acc0 = __SMLAD(x1, y1, acc0);
-
-      acc2 = __SMLAD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLADX(x3, y1, acc1);
-
-	  a = *pScr;
-	  b = *(pScr + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(a, b, 16);
-#else
-      x1 = __PKHBT(b, a, 16);
-#endif
-
-      acc0 = __SMLAD(x2, y2, acc0);
-
-      acc2 = __SMLAD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      acc1 = __SMLADX(x3, y2, acc1);
-
-	  a = *(pScr + 2);
-	  b = *(pScr + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x2 = __PKHBT(a, b, 16);
-#else
-      x2 = __PKHBT(b, a, 16);
-#endif
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y2, acc3);
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      pIn2 += 4u;
-
-      pScr += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr -= 4u;
-
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr++ * *pIn2);
-      acc1 += (*pScr++ * *pIn2);
-      acc2 += (*pScr++ * *pIn2);
-      acc3 += (*pScr++ * *pIn2++);
-
-      pScr -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-
-    /* Store the results in the accumulators in the destination buffer. */
-    *pOut = (__SSAT(acc0 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc1 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc2 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc3 >> 15u, 16));
-    pOut += inc;
-
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate correlation for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr = pScratch;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-
-      acc0 += (*pScr++ * *pIn2++);
-      acc0 += (*pScr++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-
-    *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    pOut += inc;
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch += 1u;
-
-  }
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q15.c
deleted file mode 100644
index d15bb1dc..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q15.c
+++ /dev/null
@@ -1,1319 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_correlate_fast_q15.c   
-*   
-* Description:	Fast Q15 Correlation.   
-*   
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Corr   
- * @{   
- */
-
-/**   
- * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.   
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.   
- * @return none.   
- *   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * This fast version uses a 32-bit accumulator with 2.30 format.   
- * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.   
- * There is no saturation on intermediate additions.   
- * Thus, if the accumulator overflows it wraps around and distorts the result.   
- * The input signals should be scaled down to avoid intermediate overflows.   
- * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a   
- * maximum of min(srcALen, srcBLen) number of additions is carried internally.   
- * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.   
- *   
- * \par   
- * See arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.   
- */
-
-void arm_correlate_fast_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst)
-{
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1;                                  /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,   
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB   
-     * to make their lengths equal.   
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally   
-   * divided into three parts according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first part of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second part of the algorithm, srcBLen number of multiplications are done.   
-   * In the third part of the algorithm, the multiplications decrease by one   
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.   
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]   
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
-   * ....   
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* The first loop starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
-      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-      /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
-      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-      sum = __SMLAD(*px++, *py++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (sum >> 15);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------   
-   * Stage2 process   
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-      /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px + 1);
-	  px += 2u;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the first two inputB samples using SIMD:   
-         * y[0] and y[1] */
-        c0 = *__SIMD32(py)++;
-
-        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
-        acc0 = __SMLAD(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
-        acc1 = __SMLAD(x1, c0, acc1);
-
-        /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-        /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px + 1);
-
-        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
-        acc2 = __SMLAD(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
-        acc3 = __SMLAD(x3, c0, acc3);
-
-        /* Read y[2] and y[3] */
-        c0 = *__SIMD32(py)++;
-
-        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
-        acc0 = __SMLAD(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
-        acc1 = __SMLAD(x3, c0, acc1);
-
-        /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px + 2);
-
-        /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px + 3);
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
-        acc2 = __SMLAD(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
-        acc3 = __SMLAD(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[4] */
-        c0 = *py;
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLADX(x1, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[4], y[5] */
-        c0 = *__SIMD32(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px + 1);
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLAD(x3, c0, acc2);
-        acc3 = __SMLAD(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[4], y[5] */
-        c0 = *__SIMD32(py)++;
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px + 1);
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLAD(x3, c0, acc2);
-        acc3 = __SMLAD(x2, c0, acc3);
-
-        c0 = (*py);
-        /* Read y[6] */
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-        x3 = _SIMD32_OFFSET(px + 2);
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x1, c0, acc0);
-        acc1 = __SMLAD(x2, c0, acc1);
-        acc2 = __SMLADX(x2, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (acc0 >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q15_t) (acc1 >> 15);
-      pOut += inc;
-
-      *pOut = (q15_t) (acc2 >> 15);
-      pOut += inc;
-
-      *pOut = (q15_t) (acc3 >> 15);
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (sum >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (sum >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
-   * sum +=  x[srcALen-1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
-      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-      /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
-      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLAD(*px++, *py++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (sum >> 15);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1;                                  /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-  q15_t a, b;
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,   
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB   
-     * to make their lengths equal.   
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally   
-   * divided into three parts according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first part of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second part of the algorithm, srcBLen number of multiplications are done.   
-   * In the third part of the algorithm, the multiplications decrease by one   
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.   
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]   
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
-   * ....   
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* The first loop starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-        sum += ((q31_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (sum >> 15);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------   
-   * Stage2 process   
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  x0 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  x0 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-	  px += 2u;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the first two inputB samples using SIMD:   
-         * y[0] and y[1] */
-		  a = *py;
-		  b = *(py + 1);
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		  c0 = __PKHBT(a, b, 16);
-	
-#else
-	
-		  c0 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
-        acc0 = __SMLAD(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
-        acc1 = __SMLAD(x1, c0, acc1);
-
-        /* Read x[2], x[3], x[4] */
-	  	a = *px;
-	  	b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  	x2 = __PKHBT(a, b, 16);
-	  	a = *(px + 2);
-	  	x3 = __PKHBT(b, a, 16);
-
-#else
-
-	  	x2 = __PKHBT(b, a, 16);
-	  	a = *(px + 2);
-	  	x3 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
-        acc2 = __SMLAD(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
-        acc3 = __SMLAD(x3, c0, acc3);
-
-        /* Read y[2] and y[3] */
-		  a = *(py + 2);
-		  b = *(py + 3);
-
-		  py += 4u;
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		  c0 = __PKHBT(a, b, 16);
-	
-#else
-	
-		  c0 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
-        acc0 = __SMLAD(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
-        acc1 = __SMLAD(x3, c0, acc1);
-
-        /* Read x[4], x[5], x[6] */
-	  	a = *(px + 2);
-	  	b = *(px + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  	x0 = __PKHBT(a, b, 16);
-	  	a = *(px + 4);
-	  	x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  	x0 = __PKHBT(b, a, 16);
-	  	a = *(px + 4);
-	  	x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
-        acc2 = __SMLAD(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
-        acc3 = __SMLAD(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[4] */
-        c0 = *py;
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-		a = *px;
-		b = *(px + 1);
-
-		px++;;
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		x3 = __PKHBT(a, b, 16);
-	
-#else
-	
-		x3 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLADX(x1, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[4], y[5] */
-		  a = *py;
-		  b = *(py + 1);
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		  c0 = __PKHBT(a, b, 16);
-	
-#else
-	
-		  c0 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Read x[7], x[8], x[9] */
-	  	a = *px;
-	  	b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  	x3 = __PKHBT(a, b, 16);
-	  	a = *(px + 2);
-	  	x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  	x3 = __PKHBT(b, a, 16);
-	  	a = *(px + 2);
-	  	x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLAD(x3, c0, acc2);
-        acc3 = __SMLAD(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[4], y[5] */
-		  a = *py;
-		  b = *(py + 1);
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		  c0 = __PKHBT(a, b, 16);
-	
-#else
-	
-		  c0 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		py += 2u;
-
-        /* Read x[7], x[8], x[9] */
-	  	a = *px;
-	  	b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  	x3 = __PKHBT(a, b, 16);
-	  	a = *(px + 2);
-	  	x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  	x3 = __PKHBT(b, a, 16);
-	  	a = *(px + 2);
-	  	x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLAD(x3, c0, acc2);
-        acc3 = __SMLAD(x2, c0, acc3);
-
-        c0 = (*py);
-        /* Read y[6] */
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-		b = *(px + 3);
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		x3 = __PKHBT(a, b, 16);
-	
-#else
-	
-		x3 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x1, c0, acc0);
-        acc1 = __SMLAD(x2, c0, acc1);
-        acc2 = __SMLADX(x2, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (acc0 >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q15_t) (acc1 >> 15);
-      pOut += inc;
-
-      *pOut = (q15_t) (acc2 >> 15);
-      pOut += inc;
-
-      *pOut = (q15_t) (acc3 >> 15);
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (sum >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (sum >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
-   * sum +=  x[srcALen-1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (sum >> 15);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#endif /*   #ifndef UNALIGNED_SUPPORT_DISABLE */
-
-}
-
-/**   
- * @} end of Corr group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q31.c
deleted file mode 100644
index ed8efb72..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q31.c
+++ /dev/null
@@ -1,612 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_fast_q31.c    
-*    
-* Description:	Fast Q31 Correlation.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-
-/**    
- * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
- * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
- * These intermediate results are accumulated in a 32-bit register in 2.30 format.    
- * Finally, the accumulator is saturated and converted to a 1.31 result.    
- *    
- * \par    
- * The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signals must be scaled down.    
- * The input signals should be scaled down to avoid intermediate overflows.    
- * Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a    
- * maximum of min(srcALen, srcBLen) number of additions is carried internally.    
- *    
- * \par    
- * See arm_correlate_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.    
- */
-
-void arm_correlate_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst)
-{
-  q31_t *pIn1;                                   /* inputA pointer               */
-  q31_t *pIn2;                                   /* inputB pointer               */
-  q31_t *pOut = pDst;                            /* output pointer               */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1;                                  /* Intermediate pointers        */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB    
-     * to make their lengths equal.    
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))    
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally    
-   * divided into three parts according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first part of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second part of the algorithm, srcBLen number of multiplications are done.    
-   * In the third part of the algorithm, the multiplications decrease by one    
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.    
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * Initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]    
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]    
-   * ....    
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* x[1] * y[srcBLen - 3] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* x[2] * y[srcBLen - 2] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* x[3] * y[srcBLen - 1] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = sum << 1;
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]    
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-      x2 = *(px++);
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[0] sample */
-        c0 = *(py++);
-
-        /* Read x[3] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[0] * y[0] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc1 +=  x[1] * y[0] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc2 +=  x[2] * y[0] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc3 +=  x[3] * y[0] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-        /* Read y[1] sample */
-        c0 = *(py++);
-
-        /* Read x[4] sample */
-        x0 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[1] * y[1] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc1 +=  x[2] * y[1] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc2 +=  x[3] * y[1] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc3 +=  x[4] * y[1] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-        /* Read y[2] sample */
-        c0 = *(py++);
-
-        /* Read x[5] sample */
-        x1 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[2] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc1 +=  x[3] * y[2] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc2 +=  x[4] * y[2] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc3 +=  x[5] * y[2] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-        /* Read y[3] sample */
-        c0 = *(py++);
-
-        /* Read x[6] sample */
-        x2 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[3] * y[3] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc1 +=  x[4] * y[3] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc2 +=  x[5] * y[3] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc3 +=  x[6] * y[3] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[4] sample */
-        c0 = *(py++);
-
-        /* Read x[7] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[4] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc1 +=  x[5] * y[4] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc2 +=  x[6] * y[4] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc3 +=  x[7] * y[4] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q31_t) (acc0 << 1);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q31_t) (acc1 << 1);
-      pOut += inc;
-
-      *pOut = (q31_t) (acc2 << 1);
-      pOut += inc;
-
-      *pOut = (q31_t) (acc3 << 1);
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = sum << 1;
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = sum << 1;
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]    
-   * sum +=  x[srcALen-1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = ((pIn1 + srcALen) - srcBLen) + 1u;
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* sum += x[srcALen - srcBLen + 3] * y[2] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* sum += x[srcALen - srcBLen + 2] * y[1] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* sum += x[srcALen - srcBLen + 1] * y[0] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = sum << 1;
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q15.c
deleted file mode 100644
index ccb8652a..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q15.c
+++ /dev/null
@@ -1,513 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_opt_q15.c    
-*    
-* Description:	Correlation of Q15 sequences.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-
-/**    
- * @brief Correlation of Q15 sequences.  
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
- * @return none.    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch buffers should be aligned by 32-bit    
- *     
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both inputs are in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * This approach provides 33 guard bits and there is no risk of overflow.    
- * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.    
- *    
- * \par    
- * Refer to arm_correlate_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.   
- *  
- * 
- */
-
-
-void arm_correlate_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch)
-{
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulators                  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t x1, x2, x3;                              /* temporary variables for holding input1 and input2 values */
-  uint32_t j, blkCnt, outBlockSize;              /* loop counter                 */
-  int32_t inc = 1;                               /* output pointer increment     */
-  uint32_t tapCnt;
-  q31_t y1, y2;
-  q15_t *pScr;                                   /* Intermediate pointers        */
-  q15_t *pOut = pDst;                            /* output pointer               */
-#ifdef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t a, b;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,        
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB        
-     * to make their lengths equal.        
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))        
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  pScr = pScratch;
-
-  /* Fill (srcBLen - 1u) zeros in scratch buffer */
-  arm_fill_q15(0, pScr, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr += (srcBLen - 1u);
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Copy (srcALen) samples in scratch buffer */
-  arm_copy_q15(pIn1, pScr, srcALen);
-
-  /* Update pointers */
-  //pIn1 += srcALen;    
-  pScr += srcALen;
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  j = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  j = srcALen % 0x4u;
-
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr += (srcBLen - 1u);
-
-#else
-
-/* Apply loop unrolling and do 4 Copies simultaneously. */
-  j = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr++ = 0;
-    *pScr++ = 0;
-    *pScr++ = 0;
-    *pScr++ = 0;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  j = (srcBLen - 1u) % 0x4u;
-
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr++ = 0;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* Temporary pointer for scratch2 */
-  py = pIn2;
-
-
-  /* Actual correlation process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr = pScratch;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read four samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr)++;
-
-    /* Read next four samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pIn2);
-      y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-      acc0 = __SMLALD(x1, y1, acc0);
-
-      acc2 = __SMLALD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLALDX(x3, y1, acc1);
-
-      x1 = _SIMD32_OFFSET(pScr);
-
-      acc0 = __SMLALD(x2, y2, acc0);
-
-      acc2 = __SMLALD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y1, acc3);
-
-      acc1 = __SMLALDX(x3, y2, acc1);
-
-      x2 = _SIMD32_OFFSET(pScr + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y2, acc3);
-
-#else	 
-
-      /* Read four samples from smaller buffer */
-	  a = *pIn2;
-	  b = *(pIn2 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      y1 = __PKHBT(a, b, 16);
-#else
-      y1 = __PKHBT(b, a, 16);
-#endif
-	  
-	  a = *(pIn2 + 2);
-	  b = *(pIn2 + 3);
-#ifndef ARM_MATH_BIG_ENDIAN
-      y2 = __PKHBT(a, b, 16);
-#else
-      y2 = __PKHBT(b, a, 16);
-#endif				
-
-      acc0 = __SMLALD(x1, y1, acc0);
-
-      acc2 = __SMLALD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLALDX(x3, y1, acc1);
-
-	  a = *pScr;
-	  b = *(pScr + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(a, b, 16);
-#else
-      x1 = __PKHBT(b, a, 16);
-#endif
-
-      acc0 = __SMLALD(x2, y2, acc0);
-
-      acc2 = __SMLALD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y1, acc3);
-
-      acc1 = __SMLALDX(x3, y2, acc1);
-
-	  a = *(pScr + 2);
-	  b = *(pScr + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x2 = __PKHBT(a, b, 16);
-#else
-      x2 = __PKHBT(b, a, 16);
-#endif
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y2, acc3);
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      pIn2 += 4u;
-
-      pScr += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr -= 4u;
-
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr++ * *pIn2);
-      acc1 += (*pScr++ * *pIn2);
-      acc2 += (*pScr++ * *pIn2);
-      acc3 += (*pScr++ * *pIn2++);
-
-      pScr -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-
-    /* Store the results in the accumulators in the destination buffer. */
-    *pOut = (__SSAT(acc0 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc1 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc2 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc3 >> 15u, 16));
-    pOut += inc;
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate correlation for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr = pScratch;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-
-      acc0 += (*pScr++ * *pIn2++);
-      acc0 += (*pScr++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    pOut += inc;
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch += 1u;
-
-  }
-
-
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q7.c
deleted file mode 100644
index 2f62f606..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q7.c
+++ /dev/null
@@ -1,464 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_opt_q7.c    
-*    
-* Description:	Correlation of Q7 sequences.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-
-/**    
- * @brief Correlation of Q7 sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
- * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).    
- * @return none.    
- *    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit     
- *        
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.    
- * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.    
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
- * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.    
- * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format.  
- *  
- * 
- */
-
-
-
-void arm_correlate_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-  q7_t *pOut = pDst;                             /* output pointer                */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch */
-  q7_t *pIn1;                                    /* inputA pointer                */
-  q7_t *pIn2;                                    /* inputB pointer                */
-  q15_t *py;                                     /* Intermediate inputB pointer   */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators                  */
-  uint32_t j, k = 0u, blkCnt;                    /* loop counter                  */
-  int32_t inc = 1;                               /* output pointer increment          */
-  uint32_t outBlockSize;                         /* loop counter                  */
-  q15_t x4;                                      /* Temporary input variable      */
-  uint32_t tapCnt;                               /* loop counter                  */
-  q31_t x1, x2, x3, y1;                          /* Temporary input variables     */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,        
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB        
-     * to make their lengths equal.        
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))        
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-
-  /* Copy (srcBLen) samples in scratch buffer */
-  k = srcBLen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    x4 = (q15_t) * pIn2++;
-    *pScr2++ = x4;
-    x4 = (q15_t) * pIn2++;
-    *pScr2++ = x4;
-    x4 = (q15_t) * pIn2++;
-    *pScr2++ = x4;
-    x4 = (q15_t) * pIn2++;
-    *pScr2++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcBLen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    x4 = (q15_t) * pIn2++;
-    *pScr2++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* Fill (srcBLen - 1u) zeros in scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr1 += (srcBLen - 1u);
-
-  /* Copy (srcALen) samples in scratch buffer */
-  k = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcALen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr1 += (srcBLen - 1u);
-
-#else
-
-/* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = (srcBLen - 1u) % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* Temporary pointer for second sequence */
-  py = pScratch2;
-
-  /* Initialization of pScr2 pointer */
-  pScr2 = pScratch2;
-
-  /* Actual correlation process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read two samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr1)++;
-
-    /* Read next two samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr1)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pScr2);
-
-      /* multiply and accumlate */
-      acc0 = __SMLAD(x1, y1, acc0);
-      acc2 = __SMLAD(x2, y1, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      /* multiply and accumlate */
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      /* Read next two samples from scratch1 buffer */
-      x1 = *__SIMD32(pScr1)++;
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pScr2 + 2u);
-
-      acc0 = __SMLAD(x2, y1, acc0);
-
-      acc2 = __SMLAD(x1, y1, acc2);
-
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      x2 = *__SIMD32(pScr1)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      pScr2 += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr1 -= 4u;
-
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pScr2);
-      acc1 += (*pScr1++ * *pScr2);
-      acc2 += (*pScr1++ * *pScr2);
-      acc3 += (*pScr1++ * *pScr2++);
-
-      pScr1 -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q7_t) (__SSAT(acc0 >> 7u, 8));
-    pOut += inc;
-    *pOut = (q7_t) (__SSAT(acc1 >> 7u, 8));
-    pOut += inc;
-    *pOut = (q7_t) (__SSAT(acc2 >> 7u, 8));
-    pOut += inc;
-    *pOut = (q7_t) (__SSAT(acc3 >> 7u, 8));
-    pOut += inc;
-
-    /* Initialization of inputB pointer */
-    pScr2 = py;
-
-    pScratch1 += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate correlation for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-      acc0 += (*pScr1++ * *pScr2++);
-      acc0 += (*pScr1++ * *pScr2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pScr2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q7_t) (__SSAT(acc0 >> 7u, 8));
-
-    pOut += inc;
-
-    /* Initialization of inputB pointer */
-    pScr2 = py;
-
-    pScratch1 += 1u;
-
-  }
-
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q15.c
deleted file mode 100644
index 3003f751..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q15.c
+++ /dev/null
@@ -1,719 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_correlate_q15.c   
-*   
-* Description:	Correlation of Q15 sequences. 
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Corr   
- * @{   
- */
-
-/**   
- * @brief Correlation of Q15 sequences. 
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.   
- * @return none.   
- *   
- * @details   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * The function is implemented using a 64-bit internal accumulator.   
- * Both inputs are in 1.15 format and multiplications yield a 2.30 result.   
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.   
- * This approach provides 33 guard bits and there is no risk of overflow.   
- * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.   
- *   
- * \par   
- * Refer to arm_correlate_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. 
- *
- * \par    
- * Refer the function arm_correlate_opt_q15() for a faster implementation of this function using scratch buffers.
- * 
- */
-
-void arm_correlate_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst)
-{
-
-#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1;                                  /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,   
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB   
-     * to make their lengths equal.   
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally   
-   * divided into three parts according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first part of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second part of the algorithm, srcBLen number of multiplications are done.   
-   * In the third part of the algorithm, the multiplications decrease by one   
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.   
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]   
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
-   * ....   
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* The first loop starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
-      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-      /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
-      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-      sum = __SMLALD(*px++, *py++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (__SSAT((sum >> 15), 16));
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------   
-   * Stage2 process   
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-      /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px + 1);
-	  px += 2u;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the first two inputB samples using SIMD:   
-         * y[0] and y[1] */
-        c0 = *__SIMD32(py)++;
-
-        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
-        acc0 = __SMLALD(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
-        acc1 = __SMLALD(x1, c0, acc1);
-
-        /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-        /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px + 1);
-
-        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
-        acc2 = __SMLALD(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
-        acc3 = __SMLALD(x3, c0, acc3);
-
-        /* Read y[2] and y[3] */
-        c0 = *__SIMD32(py)++;
-
-        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
-        acc0 = __SMLALD(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
-        acc1 = __SMLALD(x3, c0, acc1);
-
-        /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px + 2);
-
-        /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px + 3);
-
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
-        acc2 = __SMLALD(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
-        acc3 = __SMLALD(x1, c0, acc3);
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[4] */
-        c0 = *py;
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-        /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALD(x0, c0, acc0);
-        acc1 = __SMLALD(x1, c0, acc1);
-        acc2 = __SMLALDX(x1, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[4], y[5] */
-        c0 = *__SIMD32(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px + 1);
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALD(x0, c0, acc0);
-        acc1 = __SMLALD(x1, c0, acc1);
-        acc2 = __SMLALD(x3, c0, acc2);
-        acc3 = __SMLALD(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[4], y[5] */
-        c0 = *__SIMD32(py)++;
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px + 1);
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALD(x0, c0, acc0);
-        acc1 = __SMLALD(x1, c0, acc1);
-        acc2 = __SMLALD(x3, c0, acc2);
-        acc3 = __SMLALD(x2, c0, acc3);
-
-        c0 = (*py);
-
-        /* Read y[6] */
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-        /* Read x[10] */
-        x3 = _SIMD32_OFFSET(px + 2);
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x1, c0, acc0);
-        acc1 = __SMLALD(x2, c0, acc1);
-        acc2 = __SMLALDX(x2, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (__SSAT(acc0 >> 15, 16));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q15_t) (__SSAT(acc1 >> 15, 16));
-      pOut += inc;
-
-      *pOut = (q15_t) (__SSAT(acc2 >> 15, 16));
-      pOut += inc;
-
-      *pOut = (q15_t) (__SSAT(acc3 >> 15, 16));
-      pOut += inc;
-
-      /* Increment the count by 4 as 4 output values are computed */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q63_t) * px++ * *py++);
-        sum += ((q63_t) * px++ * *py++);
-        sum += ((q63_t) * px++ * *py++);
-        sum += ((q63_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q63_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (__SSAT(sum >> 15, 16));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment count by 1, as one output value is computed */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q63_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (__SSAT(sum >> 15, 16));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
-   * sum +=  x[srcALen-1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
-      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-      /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
-      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLALD(*px++, *py++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (__SSAT((sum >> 15), 16));
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  q15_t *pIn1 = pSrcA;                           /* inputA pointer               */
-  q15_t *pIn2 = pSrcB + (srcBLen - 1u);          /* inputB pointer               */
-  q63_t sum;                                     /* Accumulators                  */
-  uint32_t i = 0u, j;                            /* loop counters */
-  uint32_t inv = 0u;                             /* Reverse order flag */
-  uint32_t tot = 0u;                             /* Length */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and a varaible, inv is set to 1 */
-  /* If lengths are not equal then zero pad has to be done to  make the two   
-   * inputs of same length. But to improve the performance, we include zeroes   
-   * in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the   
-   * starting of the output buffer */
-  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the  
-   * ending of the output buffer */
-  /* Once the zero padding is done the remaining of the output is calcualted  
-   * using convolution but with the shorter signal time shifted. */
-
-  /* Calculate the length of the remaining sequence */
-  tot = ((srcALen + srcBLen) - 2u);
-
-  if(srcALen > srcBLen)
-  {
-    /* Calculating the number of zeros to be padded to the output */
-    j = srcALen - srcBLen;
-
-    /* Initialise the pointer after zero padding */
-    pDst += j;
-  }
-
-  else if(srcALen < srcBLen)
-  {
-    /* Initialization to inputB pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization to the end of inputA pointer */
-    pIn2 = pSrcA + (srcALen - 1u);
-
-    /* Initialisation of the pointer after zero padding */
-    pDst = pDst + tot;
-
-    /* Swapping the lengths */
-    j = srcALen;
-    srcALen = srcBLen;
-    srcBLen = j;
-
-    /* Setting the reverse flag */
-    inv = 1;
-
-  }
-
-  /* Loop to calculate convolution for output length number of times */
-  for (i = 0u; i <= tot; i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0u; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if((((i - j) < srcBLen) && (j < srcALen)))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
-      }
-    }
-    /* Store the output in the destination buffer */
-    if(inv == 1)
-      *pDst-- = (q15_t) __SSAT((sum >> 15u), 16u);
-    else
-      *pDst++ = (q15_t) __SSAT((sum >> 15u), 16u);
-  }
-
-#endif /*#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) */
-
-}
-
-/**   
- * @} end of Corr group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q31.c
deleted file mode 100644
index eaab75f7..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q31.c
+++ /dev/null
@@ -1,665 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_q31.c    
-*    
-* Description:	Correlation of Q31 sequences.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-
-/**    
- * @brief Correlation of Q31 sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * There is no saturation on intermediate additions.    
- * Thus, if the accumulator overflows it wraps around and distorts the result.    
- * The input signals should be scaled down to avoid intermediate overflows.    
- * Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a    
- * maximum of min(srcALen, srcBLen) number of additions is carried internally.    
- * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.    
- *    
- * \par    
- * See arm_correlate_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_correlate_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst)
-{
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t *pIn1;                                   /* inputA pointer               */
-  q31_t *pIn2;                                   /* inputB pointer               */
-  q31_t *pOut = pDst;                            /* output pointer               */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1;                                  /* Intermediate pointers        */
-  q63_t sum, acc0, acc1, acc2;                   /* Accumulators                  */
-  q31_t x0, x1, x2, c0;                          /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,    
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,    
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,    
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB    
-     * to make their lengths equal.    
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))    
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally    
-   * divided into three parts according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first part of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second part of the algorithm, srcBLen number of multiplications are done.    
-   * In the third part of the algorithm, the multiplications decrease by one    
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.    
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * Initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]    
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]    
-   * ....    
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] */
-      sum += (q63_t) * px++ * (*py++);
-      /* x[1] * y[srcBLen - 3] */
-      sum += (q63_t) * px++ * (*py++);
-      /* x[2] * y[srcBLen - 2] */
-      sum += (q63_t) * px++ * (*py++);
-      /* x[3] * y[srcBLen - 1] */
-      sum += (q63_t) * px++ * (*py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-      sum += (q63_t) * px++ * (*py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q31_t) (sum >> 31);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]    
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll by 3 */
-    blkCnt = blockSize2 / 3;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-
-      /* read x[0], x[1] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-
-      /* Apply loop unrolling and compute 3 MACs simultaneously. */
-      k = srcBLen / 3;
-
-      /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.        
-       ** a second loop below computes MACs for the remaining 1 to 2 samples. */
-      do
-      {
-        /* Read y[0] sample */
-        c0 = *(py);
-
-        /* Read x[2] sample */
-        x2 = *(px);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[0] * y[0] */
-        acc0 += ((q63_t) x0 * c0);
-        /* acc1 +=  x[1] * y[0] */
-        acc1 += ((q63_t) x1 * c0);
-        /* acc2 +=  x[2] * y[0] */
-        acc2 += ((q63_t) x2 * c0);
-
-        /* Read y[1] sample */
-        c0 = *(py + 1u);
-
-        /* Read x[3] sample */
-        x0 = *(px + 1u);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[1] * y[1] */
-        acc0 += ((q63_t) x1 * c0);
-        /* acc1 +=  x[2] * y[1] */
-        acc1 += ((q63_t) x2 * c0);
-        /* acc2 +=  x[3] * y[1] */
-        acc2 += ((q63_t) x0 * c0);
-
-        /* Read y[2] sample */
-        c0 = *(py + 2u);
-
-        /* Read x[4] sample */
-        x1 = *(px + 2u);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[2] */
-        acc0 += ((q63_t) x2 * c0);
-        /* acc1 +=  x[3] * y[2] */
-        acc1 += ((q63_t) x0 * c0);
-        /* acc2 +=  x[4] * y[2] */
-        acc2 += ((q63_t) x1 * c0);
-
-        /* update scratch pointers */
-        px += 3u;
-        py += 3u;
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.        
-       ** No loop unrolling is used. */
-      k = srcBLen - (3 * (srcBLen / 3));
-
-      while(k > 0u)
-      {
-        /* Read y[4] sample */
-        c0 = *(py++);
-
-        /* Read x[7] sample */
-        x2 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[4] */
-        acc0 += ((q63_t) x0 * c0);
-        /* acc1 +=  x[5] * y[4] */
-        acc1 += ((q63_t) x1 * c0);
-        /* acc2 +=  x[6] * y[4] */
-        acc2 += ((q63_t) x2 * c0);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q31_t) (acc0 >> 31);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q31_t) (acc1 >> 31);
-      pOut += inc;
-
-      *pOut = (q31_t) (acc2 >> 31);
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 3 */
-      count += 3u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here.        
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 - 3 * (blockSize2 / 3);
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += (q63_t) * px++ * (*py++);
-        sum += (q63_t) * px++ * (*py++);
-        sum += (q63_t) * px++ * (*py++);
-        sum += (q63_t) * px++ * (*py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q31_t) (sum >> 31);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q31_t) (sum >> 31);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]    
-   * sum +=  x[srcALen-1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] */
-      sum += (q63_t) * px++ * (*py++);
-      /* sum += x[srcALen - srcBLen + 3] * y[2] */
-      sum += (q63_t) * px++ * (*py++);
-      /* sum += x[srcALen - srcBLen + 2] * y[1] */
-      sum += (q63_t) * px++ * (*py++);
-      /* sum += x[srcALen - srcBLen + 1] * y[0] */
-      sum += (q63_t) * px++ * (*py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += (q63_t) * px++ * (*py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q31_t) (sum >> 31);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t *pIn1 = pSrcA;                           /* inputA pointer               */
-  q31_t *pIn2 = pSrcB + (srcBLen - 1u);          /* inputB pointer               */
-  q63_t sum;                                     /* Accumulators                  */
-  uint32_t i = 0u, j;                            /* loop counters */
-  uint32_t inv = 0u;                             /* Reverse order flag */
-  uint32_t tot = 0u;                             /* Length */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and a varaible, inv is set to 1 */
-  /* If lengths are not equal then zero pad has to be done to  make the two    
-   * inputs of same length. But to improve the performance, we include zeroes    
-   * in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the    
-   * starting of the output buffer */
-  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the   
-   * ending of the output buffer */
-  /* Once the zero padding is done the remaining of the output is calcualted   
-   * using correlation but with the shorter signal time shifted. */
-
-  /* Calculate the length of the remaining sequence */
-  tot = ((srcALen + srcBLen) - 2u);
-
-  if(srcALen > srcBLen)
-  {
-    /* Calculating the number of zeros to be padded to the output */
-    j = srcALen - srcBLen;
-
-    /* Initialise the pointer after zero padding */
-    pDst += j;
-  }
-
-  else if(srcALen < srcBLen)
-  {
-    /* Initialization to inputB pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization to the end of inputA pointer */
-    pIn2 = pSrcA + (srcALen - 1u);
-
-    /* Initialisation of the pointer after zero padding */
-    pDst = pDst + tot;
-
-    /* Swapping the lengths */
-    j = srcALen;
-    srcALen = srcBLen;
-    srcBLen = j;
-
-    /* Setting the reverse flag */
-    inv = 1;
-
-  }
-
-  /* Loop to calculate correlation for output length number of times */
-  for (i = 0u; i <= tot; i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to correlation equation */
-    for (j = 0u; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if((((i - j) < srcBLen) && (j < srcALen)))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += ((q63_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
-      }
-    }
-    /* Store the output in the destination buffer */
-    if(inv == 1)
-      *pDst-- = (q31_t) (sum >> 31u);
-    else
-      *pDst++ = (q31_t) (sum >> 31u);
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q7.c
deleted file mode 100644
index 6adef05e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q7.c
+++ /dev/null
@@ -1,790 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_correlate_q7.c   
-*   
-* Description:	Correlation of Q7 sequences. 
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Corr   
- * @{   
- */
-
-/**   
- * @brief Correlation of Q7 sequences.   
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.   
- * @return none.   
- *   
- * @details   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * The function is implemented using a 32-bit internal accumulator.   
- * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.   
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.   
- * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.   
- * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format.   
- *
- * \par    
- * Refer the function arm_correlate_opt_q7() for a faster implementation of this function.
- * 
- */
-
-void arm_correlate_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst)
-{
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t *pIn1;                                    /* inputA pointer               */
-  q7_t *pIn2;                                    /* inputB pointer               */
-  q7_t *pOut = pDst;                             /* output pointer               */
-  q7_t *px;                                      /* Intermediate inputA pointer  */
-  q7_t *py;                                      /* Intermediate inputB pointer  */
-  q7_t *pSrc1;                                   /* Intermediate pointers        */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q31_t input1, input2;                          /* temporary variables */
-  q15_t in1, in2;                                /* temporary variables */
-  q7_t x0, x1, x2, x3, c0, c1;                   /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,   
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB   
-     * to make their lengths equal.   
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally   
-   * divided into three parts according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first part of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second part of the algorithm, srcBLen number of multiplications are done.   
-   * In the third part of the algorithm, the multiplications decrease by one   
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.   
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]   
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
-   * ....   
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] , x[1] */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* y[srcBLen - 4] , y[srcBLen - 3] */
-      in1 = (q15_t) * py++;
-      in2 = (q15_t) * py++;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* x[0] * y[srcBLen - 4] */
-      /* x[1] * y[srcBLen - 3] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* x[2] , x[3] */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* y[srcBLen - 2] , y[srcBLen - 1] */
-      in1 = (q15_t) * py++;
-      in2 = (q15_t) * py++;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* x[2] * y[srcBLen - 2] */
-      /* x[3] * y[srcBLen - 1] */
-      sum = __SMLAD(input1, input2, sum);
-
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-      sum += (q31_t) ((q15_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q7_t) (__SSAT(sum >> 7, 8));
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------   
-   * Stage2 process   
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *px++;
-      x1 = *px++;
-      x2 = *px++;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[0] sample */
-        c0 = *py++;
-        /* Read y[1] sample */
-        c1 = *py++;
-
-        /* Read x[3] sample */
-        x3 = *px++;
-
-        /* x[0] and x[1] are packed */
-        in1 = (q15_t) x0;
-        in2 = (q15_t) x1;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* y[0] and y[1] are packed */
-        in1 = (q15_t) c0;
-        in2 = (q15_t) c1;
-
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc0 += x[0] * y[0] + x[1] * y[1]  */
-        acc0 = __SMLAD(input1, input2, acc0);
-
-        /* x[1] and x[2] are packed */
-        in1 = (q15_t) x1;
-        in2 = (q15_t) x2;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc1 += x[1] * y[0] + x[2] * y[1] */
-        acc1 = __SMLAD(input1, input2, acc1);
-
-        /* x[2] and x[3] are packed */
-        in1 = (q15_t) x2;
-        in2 = (q15_t) x3;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc2 += x[2] * y[0] + x[3] * y[1]  */
-        acc2 = __SMLAD(input1, input2, acc2);
-
-        /* Read x[4] sample */
-        x0 = *(px++);
-
-        /* x[3] and x[4] are packed */
-        in1 = (q15_t) x3;
-        in2 = (q15_t) x0;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc3 += x[3] * y[0] + x[4] * y[1]  */
-        acc3 = __SMLAD(input1, input2, acc3);
-
-        /* Read y[2] sample */
-        c0 = *py++;
-        /* Read y[3] sample */
-        c1 = *py++;
-
-        /* Read x[5] sample */
-        x1 = *px++;
-
-        /* x[2] and x[3] are packed */
-        in1 = (q15_t) x2;
-        in2 = (q15_t) x3;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* y[2] and y[3] are packed */
-        in1 = (q15_t) c0;
-        in2 = (q15_t) c1;
-
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc0 += x[2] * y[2] + x[3] * y[3]  */
-        acc0 = __SMLAD(input1, input2, acc0);
-
-        /* x[3] and x[4] are packed */
-        in1 = (q15_t) x3;
-        in2 = (q15_t) x0;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc1 += x[3] * y[2] + x[4] * y[3]  */
-        acc1 = __SMLAD(input1, input2, acc1);
-
-        /* x[4] and x[5] are packed */
-        in1 = (q15_t) x0;
-        in2 = (q15_t) x1;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc2 += x[4] * y[2] + x[5] * y[3]  */
-        acc2 = __SMLAD(input1, input2, acc2);
-
-        /* Read x[6] sample */
-        x2 = *px++;
-
-        /* x[5] and x[6] are packed */
-        in1 = (q15_t) x1;
-        in2 = (q15_t) x2;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc3 += x[5] * y[2] + x[6] * y[3]  */
-        acc3 = __SMLAD(input1, input2, acc3);
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[4] sample */
-        c0 = *py++;
-
-        /* Read x[7] sample */
-        x3 = *px++;
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[4] */
-        acc0 += ((q15_t) x0 * c0);
-        /* acc1 +=  x[5] * y[4] */
-        acc1 += ((q15_t) x1 * c0);
-        /* acc2 +=  x[6] * y[4] */
-        acc2 += ((q15_t) x2 * c0);
-        /* acc3 +=  x[7] * y[4] */
-        acc3 += ((q15_t) x3 * c0);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q7_t) (__SSAT(acc0 >> 7, 8));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q7_t) (__SSAT(acc1 >> 7, 8));
-      pOut += inc;
-
-      *pOut = (q7_t) (__SSAT(acc2 >> 7, 8));
-      pOut += inc;
-
-      *pOut = (q7_t) (__SSAT(acc3 >> 7, 8));
-      pOut += inc;
-
-	  count += 4u;
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Reading two inputs of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Reading two inputs of SrcB buffer and packing */
-        in1 = (q15_t) * py++;
-        in2 = (q15_t) * py++;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Reading two inputs of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Reading two inputs of SrcB buffer and packing */
-        in1 = (q15_t) * py++;
-        in2 = (q15_t) * py++;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q15_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q7_t) (__SSAT(sum >> 7, 8));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-	  count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q15_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q7_t) (__SSAT(sum >> 7, 8));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
-   * sum +=  x[srcALen-1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[srcALen - srcBLen + 1] , x[srcALen - srcBLen + 2]  */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* y[0] , y[1] */
-      in1 = (q15_t) * py++;
-      in2 = (q15_t) * py++;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* sum += x[srcALen - srcBLen + 1] * y[0] */
-      /* sum += x[srcALen - srcBLen + 2] * y[1] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* x[srcALen - srcBLen + 3] , x[srcALen - srcBLen + 4] */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* y[2] , y[3] */
-      in1 = (q15_t) * py++;
-      in2 = (q15_t) * py++;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* sum += x[srcALen - srcBLen + 3] * y[2] */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += ((q15_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q7_t) (__SSAT(sum >> 7, 8));
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  q7_t *pIn1 = pSrcA;                            /* inputA pointer */
-  q7_t *pIn2 = pSrcB + (srcBLen - 1u);           /* inputB pointer */
-  q31_t sum;                                     /* Accumulator */
-  uint32_t i = 0u, j;                            /* loop counters */
-  uint32_t inv = 0u;                             /* Reverse order flag */
-  uint32_t tot = 0u;                             /* Length */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and a varaible, inv is set to 1 */
-  /* If lengths are not equal then zero pad has to be done to  make the two   
-   * inputs of same length. But to improve the performance, we include zeroes   
-   * in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the   
-   * starting of the output buffer */
-  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the  
-   * ending of the output buffer */
-  /* Once the zero padding is done the remaining of the output is calcualted  
-   * using convolution but with the shorter signal time shifted. */
-
-  /* Calculate the length of the remaining sequence */
-  tot = ((srcALen + srcBLen) - 2u);
-
-  if(srcALen > srcBLen)
-  {
-    /* Calculating the number of zeros to be padded to the output */
-    j = srcALen - srcBLen;
-
-    /* Initialise the pointer after zero padding */
-    pDst += j;
-  }
-
-  else if(srcALen < srcBLen)
-  {
-    /* Initialization to inputB pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization to the end of inputA pointer */
-    pIn2 = pSrcA + (srcALen - 1u);
-
-    /* Initialisation of the pointer after zero padding */
-    pDst = pDst + tot;
-
-    /* Swapping the lengths */
-    j = srcALen;
-    srcALen = srcBLen;
-    srcBLen = j;
-
-    /* Setting the reverse flag */
-    inv = 1;
-
-  }
-
-  /* Loop to calculate convolution for output length number of times */
-  for (i = 0u; i <= tot; i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0u; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if((((i - j) < srcBLen) && (j < srcALen)))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += ((q15_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
-      }
-    }
-    /* Store the output in the destination buffer */
-    if(inv == 1)
-      *pDst-- = (q7_t) __SSAT((sum >> 7u), 8u);
-    else
-      *pDst++ = (q7_t) __SSAT((sum >> 7u), 8u);
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**   
- * @} end of Corr group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_f32.c
deleted file mode 100644
index 15929739..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_f32.c
+++ /dev/null
@@ -1,524 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_decimate_f32.c    
-*    
-* Description:	FIR decimation for floating-point sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup FIR_decimate Finite Impulse Response (FIR) Decimator    
- *    
- * These functions combine an FIR filter together with a decimator.    
- * They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion.    
- * Conceptually, the functions are equivalent to the block diagram below:    
- * \image html FIRDecimator.gif "Components included in the FIR Decimator functions"    
- * When decimating by a factor of M, the signal should be prefiltered by a lowpass filter with a normalized    
- * cutoff frequency of 1/M in order to prevent aliasing distortion.    
- * The user of the function is responsible for providing the filter coefficients.    
- *    
- * The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner.    
- * Instead of calculating all of the FIR filter outputs and discarding M-1 out of every M, only the    
- * samples output by the decimator are computed.    
- * The functions operate on blocks of input and output data.    
- * pSrc points to an array of blockSize input values and    
- * pDst points to an array of blockSize/M output values.    
- * In order to have an integer number of output samples blockSize    
- * must always be a multiple of the decimation factor M.    
- *    
- * The library provides separate functions for Q15, Q31 and floating-point data types.    
- *    
- * \par Algorithm:    
- * The FIR portion of the algorithm uses the standard form filter:    
- * 
    
- *    y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
- * 
    
- * where, b[n] are the filter coefficients.    
- * \par   
- * The pCoeffs points to a coefficient array of size numTaps.    
- * Coefficients are stored in time reversed order.    
- * \par    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to a state array of size numTaps + blockSize - 1.    
- * Samples in the state buffer are stored in the order:    
- * \par    
- * 
    
- *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
- * 
    
- * The state variables are updated after each block of data is processed, the coefficients are untouched.    
- *    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable array should be allocated separately.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * - Checks to make sure that the size of the input is a multiple of the decimation factor.    
- * To do this manually without calling the init function, assign the follow subfields of the instance structure:
- * numTaps, pCoeffs, M (decimation factor), pState. Also set all of the values in pState to zero. 
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * The code below statically initializes each of the 3 different data type filter instance structures    
- * 
    
- *arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState};    
- *arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState};    
- *arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState};    
- * 
    
- * where M is the decimation factor; numTaps is the number of filter coefficients in the filter;    
- * pCoeffs is the address of the coefficient buffer;    
- * pState is the address of the state buffer.    
- * Be sure to set the values in the state buffer to zeros when doing static initialization.    
- *    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the FIR decimate filter functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-  /**    
-   * @brief Processing function for the floating-point FIR decimator.    
-   * @param[in] *S        points to an instance of the floating-point FIR decimator structure.    
-   * @param[in] *pSrc     points to the block of input data.    
-   * @param[out] *pDst    points to the block of output data.    
-   * @param[in] blockSize number of input samples to process per call.    
-   * @return none.    
-   */
-
-void arm_fir_decimate_f32(
-  const arm_fir_decimate_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-  float32_t sum0;                                /* Accumulator */
-  float32_t x0, c0;                              /* Temporary variables to hold state and coefficient values */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  uint32_t blkCntN4;
-  float32_t *px0, *px1, *px2, *px3;
-  float32_t acc0, acc1, acc2, acc3;
-  float32_t x1, x2, x3;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize / 4;
-  blkCntN4 = outBlockSize - (4 * blkCnt);
-
-  while(blkCnt > 0u)
-  {
-    /* Copy 4 * decimation factor number of new input samples into the state buffer */
-    i = 4 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulators to zero */
-    acc0 = 0.0f;
-    acc1 = 0.0f;
-    acc2 = 0.0f;
-    acc3 = 0.0f;
-
-    /* Initialize state pointer for all the samples */
-    px0 = pState;
-    px1 = pState + S->M;
-    px2 = pState + 2 * S->M;
-    px3 = pState + 3 * S->M;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-1] sample for acc0 */
-      x0 = *(px0++);
-      /* Read x[n-numTaps-1] sample for acc1 */
-      x1 = *(px1++);
-      /* Read x[n-numTaps-1] sample for acc2 */
-      x2 = *(px2++);
-      /* Read x[n-numTaps-1] sample for acc3 */
-      x3 = *(px3++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
-      x0 = *(px0++);
-      x1 = *(px1++);
-      x2 = *(px2++);
-      x3 = *(px3++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
-      x0 = *(px0++);
-      x1 = *(px1++);
-      x2 = *(px2++);
-      x3 = *(px3++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
-      x0 = *(px0++);
-      x1 = *(px1++);
-      x2 = *(px2++);
-      x3 = *(px3++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch  state variables for acc0, acc1, acc2, acc3 */
-      x0 = *(px0++);
-      x1 = *(px1++);
-      x2 = *(px2++);
-      x3 = *(px3++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + 4 * S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = acc0;
-    *pDst++ = acc1;
-    *pDst++ = acc2;
-    *pDst++ = acc3;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  while(blkCntN4 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    sum0 = 0.0f;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-1] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-2] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = sum0;
-
-    /* Decrement the loop counter */
-    blkCntN4--;
-  }
-
-  /* Processing is complete.    
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    sum0 = 0.0f;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor           
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = sum0;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Copy numTaps number of values */
-  i = (numTaps - 1u);
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY        */
-
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
deleted file mode 100644
index 8ae0d2e0..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
+++ /dev/null
@@ -1,598 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_decimate_fast_q15.c    
-*    
-* Description:	Fast Q15 FIR Decimator.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.    
- * @param[in] *S points to an instance of the Q15 FIR decimator structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none    
- *    
- * \par Restrictions   
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE   
- *	In this case input, output, state buffers should be aligned by 32-bit   
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * This fast version uses a 32-bit accumulator with 2.30 format.    
- * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around and distorts the result.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (log2 is read as log to the base 2).    
- * The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.    
- *    
- * \par    
- * Refer to the function arm_fir_decimate_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.    
- * Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_fir_decimate_init_q15() to initialize the filter structure.    
- */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-void arm_fir_decimate_fast_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
-  q31_t x0, x1, c0, c1;                          /* Temporary variables to hold state and coefficient values */
-  q31_t sum0;                                    /* Accumulators */
-  q31_t acc0, acc1;
-  q15_t *px0, *px1;
-  uint32_t blkCntN3;
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize / 2;
-  blkCntN3 = outBlockSize - (2 * blkCnt);
-
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = 2 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    acc0 = 0;
-    acc1 = 0;
-
-    /* Initialize state pointer */
-    px0 = pState;
-
-    px1 = pState + S->M;
-
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
-      x0 = *__SIMD32(px0)++;
-
-      x1 = *__SIMD32(px1)++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLAD(x0, c0, acc0);
-
-      acc1 = __SMLAD(x1, c0, acc1);
-
-      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
-      x0 = *__SIMD32(px0)++;
-
-      x1 = *__SIMD32(px1)++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLAD(x0, c0, acc0);
-
-      acc1 = __SMLAD(x1, c0, acc1);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px0++;
-
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLAD(x0, c0, acc0);
-      acc1 = __SMLAD(x1, c0, acc1);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M * 2;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-
-  while(blkCntN3 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /*Set sum to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
-      x0 = *__SIMD32(px)++;
-
-      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
-      c1 = *__SIMD32(pb)++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLAD(x0, c0, sum0);
-
-      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
-      x0 = *__SIMD32(px)++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLAD(x0, c1, sum0);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLAD(x0, c0, sum0);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCntN3--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-#else
-
-
-void arm_fir_decimate_fast_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
-  q15_t x0, x1, c0;                              /* Temporary variables to hold state and coefficient values */
-  q31_t sum0;                                    /* Accumulators */
-  q31_t acc0, acc1;
-  q15_t *px0, *px1;
-  uint32_t blkCntN3;
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize / 2;
-  blkCntN3 = outBlockSize - (2 * blkCnt);
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = 2 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    acc0 = 0;
-    acc1 = 0;
-
-    /* Initialize state pointer */
-    px0 = pState;
-
-    px1 = pState + S->M;
-
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-2] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-3]  coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-3] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-4] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M * 2;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
-
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  while(blkCntN3 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /*Set sum to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-1] and sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-2] and  sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-3]  coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-3] sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCntN3--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
deleted file mode 100644
index 4f012696..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
+++ /dev/null
@@ -1,351 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_decimate_fast_q31.c    
-*    
-* Description:	Fast Q31 FIR Decimator.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.    
- * @param[in] *S points to an instance of the Q31 FIR decimator structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none    
- *    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
- * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
- * These intermediate results are added to a 2.30 accumulator.    
- * Finally, the accumulator is saturated and converted to a 1.31 result.    
- * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).    
- *    
- * \par    
- * Refer to the function arm_fir_decimate_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.    
- * Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_fir_decimate_init_q31() to initialize the filter structure.    
- */
-
-void arm_fir_decimate_fast_q31(
-  arm_fir_decimate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  q31_t *px;                                     /* Temporary pointers for state buffer */
-  q31_t *pb;                                     /* Temporary pointers for coefficient buffer */
-  q31_t sum0;                                    /* Accumulator */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-  uint32_t blkCntN2;
-  q31_t x1;
-  q31_t acc0, acc1;
-  q31_t *px0, *px1;
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-
-  blkCnt = outBlockSize / 2;
-  blkCntN2 = outBlockSize - (2 * blkCnt);
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = 2 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    acc0 = 0;
-    acc1 = 0;
-
-    /* Initialize state pointer */
-    px0 = pState;
-    px1 = pState + S->M;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb);
-
-      /* Read x[n-numTaps-1] for sample 0 sample 1 */
-      x0 = *(px0);
-      x1 = *(px1);
-
-      /* Perform the multiply-accumulate */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb + 1u);
-
-      /* Read x[n-numTaps-2]  for sample 0 sample 1  */
-      x0 = *(px0 + 1u);
-      x1 = *(px1 + 1u);
-
-      /* Perform the multiply-accumulate */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb + 2u);
-
-      /* Read x[n-numTaps-3]  for sample 0 sample 1 */
-      x0 = *(px0 + 2u);
-      x1 = *(px1 + 2u);
-      pb += 4u;
-
-      /* Perform the multiply-accumulate */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb - 1u);
-
-      /* Read x[n-numTaps-4] for sample 0 sample 1 */
-      x0 = *(px0 + 3u);
-      x1 = *(px1 + 3u);
-
-
-      /* Perform the multiply-accumulate */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* update state pointers */
-      px0 += 4u;
-      px1 += 4u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x0 = *(px0++);
-      x1 = *(px1++);
-
-      /* Perform the multiply-accumulate */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M * 2;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = (q31_t) (acc0 << 1);
-    *pDst++ = (q31_t) (acc1 << 1);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  while(blkCntN2 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-1] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-2] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = (q31_t) (sum0 << 1);
-
-    /* Decrement the loop counter */
-    blkCntN2--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
deleted file mode 100644
index 78965103..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
+++ /dev/null
@@ -1,117 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_decimate_init_f32.c    
-*    
-* Description:  Floating-point FIR Decimator initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the floating-point FIR decimator.    
- * @param[in,out] *S points to an instance of the floating-point FIR decimator structure.    
- * @param[in] numTaps  number of coefficients in the filter.    
- * @param[in] M  decimation factor.    
- * @param[in] *pCoeffs points to the filter coefficients.    
- * @param[in] *pState points to the state buffer.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return    The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * blockSize is not a multiple of M.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_f32().    
- * M is the decimation factor.    
- */
-
-arm_status arm_fir_decimate_init_f32(
-  arm_fir_decimate_instance_f32 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-  /* The size of the input block must be a multiple of the decimation factor */
-  if((blockSize % M) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-    /* Assign filter taps */
-    S->numTaps = numTaps;
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Clear state buffer and size is always (blockSize + numTaps - 1) */
-    memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    /* Assign Decimation Factor */
-    S->M = M;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
deleted file mode 100644
index a3fad6b8..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
+++ /dev/null
@@ -1,119 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_decimate_init_q15.c    
-*    
-* Description:  Initialization function for the Q15 FIR Decimator.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the Q15 FIR decimator.    
- * @param[in,out] *S points to an instance of the Q15 FIR decimator structure.    
- * @param[in] numTaps  number of coefficients in the filter.    
- * @param[in] M  decimation factor.    
- * @param[in] *pCoeffs points to the filter coefficients.    
- * @param[in] *pState points to the state buffer.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return    The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * blockSize is not a multiple of M.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples    
- * to the call arm_fir_decimate_q15().    
- * M is the decimation factor.    
- */
-
-arm_status arm_fir_decimate_init_q15(
-  arm_fir_decimate_instance_q15 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize)
-{
-
-  arm_status status;
-
-  /* The size of the input block must be a multiple of the decimation factor */
-  if((blockSize % M) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-    /* Assign filter taps */
-    S->numTaps = numTaps;
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Clear the state buffer.  The size of buffer is always (blockSize + numTaps - 1) */
-    memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    /* Assign Decimation factor */
-    S->M = M;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
deleted file mode 100644
index 9d332f31..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
+++ /dev/null
@@ -1,117 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_decimate_init_q31.c    
-*    
-* Description:  Initialization function for Q31 FIR Decimation filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the Q31 FIR decimator.    
- * @param[in,out] *S points to an instance of the Q31 FIR decimator structure.    
- * @param[in] numTaps  number of coefficients in the filter.    
- * @param[in] M  decimation factor.    
- * @param[in] *pCoeffs points to the filter coefficients.    
- * @param[in] *pState points to the state buffer.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return    The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * blockSize is not a multiple of M.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_q31().    
- * M is the decimation factor.    
- */
-
-arm_status arm_fir_decimate_init_q31(
-  arm_fir_decimate_instance_q31 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-  /* The size of the input block must be a multiple of the decimation factor */
-  if((blockSize % M) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-    /* Assign filter taps */
-    S->numTaps = numTaps;
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Clear the state buffer.  The size is always (blockSize + numTaps - 1) */
-    memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(q31_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    /* Assign Decimation factor */
-    S->M = M;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q15.c
deleted file mode 100644
index f3a6a4a2..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q15.c
+++ /dev/null
@@ -1,696 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_decimate_q15.c    
-*    
-* Description:	Q15 FIR Decimator.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 FIR decimator.    
- * @param[in] *S points to an instance of the Q15 FIR decimator structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the location where the output result is written.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
- * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
- *    
- * \par    
- * Refer to the function arm_fir_decimate_fast_q15() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-void arm_fir_decimate_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
-  q31_t x0, x1, c0, c1;                          /* Temporary variables to hold state and coefficient values */
-  q63_t sum0;                                    /* Accumulators */
-  q63_t acc0, acc1;
-  q15_t *px0, *px1;
-  uint32_t blkCntN3;
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize / 2;
-  blkCntN3 = outBlockSize - (2 * blkCnt);
-
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = 2 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    acc0 = 0;
-    acc1 = 0;
-
-    /* Initialize state pointer */
-    px0 = pState;
-
-    px1 = pState + S->M;
-
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
-      x0 = *__SIMD32(px0)++;
-
-      x1 = *__SIMD32(px1)++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLALD(x0, c0, acc0);
-
-      acc1 = __SMLALD(x1, c0, acc1);
-
-      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
-      x0 = *__SIMD32(px0)++;
-
-      x1 = *__SIMD32(px1)++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLALD(x0, c0, acc0);
-
-      acc1 = __SMLALD(x1, c0, acc1);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px0++;
-
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLALD(x0, c0, acc0);
-      acc1 = __SMLALD(x1, c0, acc1);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M * 2;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-
-  while(blkCntN3 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /*Set sum to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
-      x0 = *__SIMD32(px)++;
-
-      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
-      c1 = *__SIMD32(pb)++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLALD(x0, c0, sum0);
-
-      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
-      x0 = *__SIMD32(px)++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLALD(x0, c1, sum0);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLALD(x0, c0, sum0);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCntN3--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-#else
-
-
-void arm_fir_decimate_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
-  q15_t x0, x1, c0;                              /* Temporary variables to hold state and coefficient values */
-  q63_t sum0;                                    /* Accumulators */
-  q63_t acc0, acc1;
-  q15_t *px0, *px1;
-  uint32_t blkCntN3;
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize / 2;
-  blkCntN3 = outBlockSize - (2 * blkCnt);
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = 2 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    acc0 = 0;
-    acc1 = 0;
-
-    /* Initialize state pointer */
-    px0 = pState;
-
-    px1 = pState + S->M;
-
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-2] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-3] coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-3] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-4] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M * 2;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  while(blkCntN3 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /*Set sum to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-1] and sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-2] and  sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-3]  coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-3] sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCntN3--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#else
-
-
-void arm_fir_decimate_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
-  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  q63_t sum0;                                    /* Accumulators */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-
-/* Run the below code for Cortex-M0 */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /*Set sum to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q31_t) x0 *c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor           
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /*Store filter output , smlad will return the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = numTaps - 1u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-
-}
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q31.c
deleted file mode 100644
index 5696b231..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q31.c
+++ /dev/null
@@ -1,311 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_decimate_q31.c    
-*    
-* Description:	Q31 FIR Decimator.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 FIR decimator.    
- * @param[in] *S points to an instance of the Q31 FIR decimator structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).    
- * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.    
- *    
- * \par    
- * Refer to the function arm_fir_decimate_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_fir_decimate_q31(
-  const arm_fir_decimate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  q31_t *px;                                     /* Temporary pointers for state buffer */
-  q31_t *pb;                                     /* Temporary pointers for coefficient buffer */
-  q63_t sum0;                                    /* Accumulator */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.    
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-1] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-2] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor    
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = (q31_t) (sum0 >> 31);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.    
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor           
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = (q31_t) (sum0 >> 31);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = numTaps - 1u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_f32.c
deleted file mode 100644
index a827e68d..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_f32.c
+++ /dev/null
@@ -1,997 +0,0 @@
-/* ----------------------------------------------------------------------  
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.  
-*  
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*  
-* Project: 	    CMSIS DSP Library  
-* Title:	    arm_fir_f32.c  
-*  
-* Description:	Floating-point FIR filter processing function.  
-*  
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**  
-* @ingroup groupFilters  
-*/
-
-/**  
-* @defgroup FIR Finite Impulse Response (FIR) Filters  
-*  
-* This set of functions implements Finite Impulse Response (FIR) filters  
-* for Q7, Q15, Q31, and floating-point data types.  Fast versions of Q15 and Q31 are also provided.  
-* The functions operate on blocks of input and output data and each call to the function processes  
-* blockSize samples through the filter.  pSrc and  
-* pDst points to input and output arrays containing blockSize values.  
-*  
-* \par Algorithm:  
-* The FIR filter algorithm is based upon a sequence of multiply-accumulate (MAC) operations.  
-* Each filter coefficient b[n] is multiplied by a state variable which equals a previous input sample x[n].  
-* 
  
-*    y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]  
-* 
  
-* \par  
-* \image html FIR.gif "Finite Impulse Response filter"  
-* \par  
-* pCoeffs points to a coefficient array of size numTaps.  
-* Coefficients are stored in time reversed order.  
-* \par  
-* 
  
-*    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}  
-* 
  
-* \par  
-* pState points to a state array of size numTaps + blockSize - 1.  
-* Samples in the state buffer are stored in the following order.  
-* \par  
-* 
  
-*    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}  
-* 
  
-* \par  
-* Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1.  
-* The increased state buffer length allows circular addressing, which is traditionally used in the FIR filters,  
-* to be avoided and yields a significant speed improvement.  
-* The state variables are updated after each block of data is processed; the coefficients are untouched.  
-* \par Instance Structure  
-* The coefficients and state variables for a filter are stored together in an instance data structure.  
-* A separate instance structure must be defined for each filter.  
-* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.  
-* There are separate instance structure declarations for each of the 4 supported data types.  
-*  
-* \par Initialization Functions  
-* There is also an associated initialization function for each data type.  
-* The initialization function performs the following operations:  
-* - Sets the values of the internal structure fields.  
-* - Zeros out the values in the state buffer.  
-* To do this manually without calling the init function, assign the follow subfields of the instance structure:
-* numTaps, pCoeffs, pState. Also set all of the values in pState to zero. 
-*  
-* \par  
-* Use of the initialization function is optional.  
-* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.  
-* To place an instance structure into a const data section, the instance structure must be manually initialized.  
-* Set the values in the state buffer to zeros before static initialization.  
-* The code below statically initializes each of the 4 different data type filter instance structures  
-* 
  
-*arm_fir_instance_f32 S = {numTaps, pState, pCoeffs};  
-*arm_fir_instance_q31 S = {numTaps, pState, pCoeffs};  
-*arm_fir_instance_q15 S = {numTaps, pState, pCoeffs};  
-*arm_fir_instance_q7 S =  {numTaps, pState, pCoeffs};  
-* 
  
-*  
-* where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer;  
-* pCoeffs is the address of the coefficient buffer.  
-*  
-* \par Fixed-Point Behavior  
-* Care must be taken when using the fixed-point versions of the FIR filter functions.  
-* In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.  
-* Refer to the function specific documentation below for usage guidelines.  
-*/
-
-/**  
-* @addtogroup FIR  
-* @{  
-*/
-
-/**  
-*  
-* @param[in]  *S points to an instance of the floating-point FIR filter structure.  
-* @param[in]  *pSrc points to the block of input data.  
-* @param[out] *pDst points to the block of output data.  
-* @param[in]  blockSize number of samples to process per call.  
-* @return     none.  
-*  
-*/
-
-#if defined(ARM_MATH_CM7)
-
-void arm_fir_f32(
-const arm_fir_instance_f32 * S,
-float32_t * pSrc,
-float32_t * pDst,
-uint32_t blockSize)
-{
-   float32_t *pState = S->pState;                 /* State pointer */
-   float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-   float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-   float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-   float32_t acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;     /* Accumulators */
-   float32_t x0, x1, x2, x3, x4, x5, x6, x7, c0;  /* Temporary variables to hold state and coefficient values */
-   uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-   uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-   /* pStateCurnt points to the location where the new input data should be written */
-   pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-   /* Apply loop unrolling and compute 8 output values simultaneously.  
-    * The variables acc0 ... acc7 hold output values that are being computed:  
-    *  
-    *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]  
-    *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]  
-    *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]  
-    *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]  
-    */
-   blkCnt = blockSize >> 3;
-
-   /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.  
-   ** a second loop below computes the remaining 1 to 7 samples. */
-   while(blkCnt > 0u)
-   {
-      /* Copy four new input samples into the state buffer */
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-
-      /* Set all accumulators to zero */
-      acc0 = 0.0f;
-      acc1 = 0.0f;
-      acc2 = 0.0f;
-      acc3 = 0.0f;
-      acc4 = 0.0f;
-      acc5 = 0.0f;
-      acc6 = 0.0f;
-      acc7 = 0.0f;		
-
-      /* Initialize state pointer */
-      px = pState;
-
-      /* Initialize coeff pointer */
-      pb = (pCoeffs);		
-   
-      /* This is separated from the others to avoid 
-       * a call to __aeabi_memmove which would be slower
-       */
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-
-      /* Read the first seven samples from the state buffer:  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
-      x0 = *px++;
-      x1 = *px++;
-      x2 = *px++;
-      x3 = *px++;
-      x4 = *px++;
-      x5 = *px++;
-      x6 = *px++;
-
-      /* Loop unrolling.  Process 8 taps at a time. */
-      tapCnt = numTaps >> 3u;
-      
-      /* Loop over the number of taps.  Unroll by a factor of 8.  
-       ** Repeat until we've computed numTaps-8 coefficients. */
-      while(tapCnt > 0u)
-      {
-         /* Read the b[numTaps-1] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-3] sample */
-         x7 = *(px++);
-
-         /* acc0 +=  b[numTaps-1] * x[n-numTaps] */
-         acc0 += x0 * c0;
-
-         /* acc1 +=  b[numTaps-1] * x[n-numTaps-1] */
-         acc1 += x1 * c0;
-
-         /* acc2 +=  b[numTaps-1] * x[n-numTaps-2] */
-         acc2 += x2 * c0;
-
-         /* acc3 +=  b[numTaps-1] * x[n-numTaps-3] */
-         acc3 += x3 * c0;
-
-         /* acc4 +=  b[numTaps-1] * x[n-numTaps-4] */
-         acc4 += x4 * c0;
-
-         /* acc1 +=  b[numTaps-1] * x[n-numTaps-5] */
-         acc5 += x5 * c0;
-
-         /* acc2 +=  b[numTaps-1] * x[n-numTaps-6] */
-         acc6 += x6 * c0;
-
-         /* acc3 +=  b[numTaps-1] * x[n-numTaps-7] */
-         acc7 += x7 * c0;
-         
-         /* Read the b[numTaps-2] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-4] sample */
-         x0 = *(px++);
-
-         /* Perform the multiply-accumulate */
-         acc0 += x1 * c0;
-         acc1 += x2 * c0;   
-         acc2 += x3 * c0;   
-         acc3 += x4 * c0;   
-         acc4 += x5 * c0;   
-         acc5 += x6 * c0;   
-         acc6 += x7 * c0;   
-         acc7 += x0 * c0;   
-         
-         /* Read the b[numTaps-3] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-5] sample */
-         x1 = *(px++);
-
-         /* Perform the multiply-accumulates */      
-         acc0 += x2 * c0;
-         acc1 += x3 * c0;   
-         acc2 += x4 * c0;   
-         acc3 += x5 * c0;   
-         acc4 += x6 * c0;   
-         acc5 += x7 * c0;   
-         acc6 += x0 * c0;   
-         acc7 += x1 * c0;   
-
-         /* Read the b[numTaps-4] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-6] sample */
-         x2 = *(px++);
-
-         /* Perform the multiply-accumulates */      
-         acc0 += x3 * c0;
-         acc1 += x4 * c0;   
-         acc2 += x5 * c0;   
-         acc3 += x6 * c0;   
-         acc4 += x7 * c0;   
-         acc5 += x0 * c0;   
-         acc6 += x1 * c0;   
-         acc7 += x2 * c0;   
-
-         /* Read the b[numTaps-4] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-6] sample */
-         x3 = *(px++);
-         /* Perform the multiply-accumulates */      
-         acc0 += x4 * c0;
-         acc1 += x5 * c0;   
-         acc2 += x6 * c0;   
-         acc3 += x7 * c0;   
-         acc4 += x0 * c0;   
-         acc5 += x1 * c0;   
-         acc6 += x2 * c0;   
-         acc7 += x3 * c0;   
-
-         /* Read the b[numTaps-4] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-6] sample */
-         x4 = *(px++);
-
-         /* Perform the multiply-accumulates */      
-         acc0 += x5 * c0;
-         acc1 += x6 * c0;   
-         acc2 += x7 * c0;   
-         acc3 += x0 * c0;   
-         acc4 += x1 * c0;   
-         acc5 += x2 * c0;   
-         acc6 += x3 * c0;   
-         acc7 += x4 * c0;   
-
-         /* Read the b[numTaps-4] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-6] sample */
-         x5 = *(px++);
-
-         /* Perform the multiply-accumulates */      
-         acc0 += x6 * c0;
-         acc1 += x7 * c0;   
-         acc2 += x0 * c0;   
-         acc3 += x1 * c0;   
-         acc4 += x2 * c0;   
-         acc5 += x3 * c0;   
-         acc6 += x4 * c0;   
-         acc7 += x5 * c0;   
-
-         /* Read the b[numTaps-4] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-6] sample */
-         x6 = *(px++);
-
-         /* Perform the multiply-accumulates */      
-         acc0 += x7 * c0;
-         acc1 += x0 * c0;   
-         acc2 += x1 * c0;   
-         acc3 += x2 * c0;   
-         acc4 += x3 * c0;   
-         acc5 += x4 * c0;   
-         acc6 += x5 * c0;   
-         acc7 += x6 * c0;   
-
-         tapCnt--;
-      }
-
-      /* If the filter length is not a multiple of 8, compute the remaining filter taps */
-      tapCnt = numTaps % 0x8u;
-
-      while(tapCnt > 0u)
-      {
-         /* Read coefficients */
-         c0 = *(pb++);
-
-         /* Fetch 1 state variable */
-         x7 = *(px++);
-
-         /* Perform the multiply-accumulates */      
-         acc0 += x0 * c0;
-         acc1 += x1 * c0;   
-         acc2 += x2 * c0;   
-         acc3 += x3 * c0;   
-         acc4 += x4 * c0;   
-         acc5 += x5 * c0;   
-         acc6 += x6 * c0;   
-         acc7 += x7 * c0;   
-
-         /* Reuse the present sample states for next sample */
-         x0 = x1;
-         x1 = x2;
-         x2 = x3;
-         x3 = x4;
-         x4 = x5;
-         x5 = x6;
-         x6 = x7;
-
-         /* Decrement the loop counter */
-         tapCnt--;
-      }
-
-      /* Advance the state pointer by 8 to process the next group of 8 samples */
-      pState = pState + 8;
-
-      /* The results in the 8 accumulators, store in the destination buffer. */
-      *pDst++ = acc0;
-      *pDst++ = acc1;
-      *pDst++ = acc2;
-      *pDst++ = acc3;
-      *pDst++ = acc4;
-      *pDst++ = acc5;
-      *pDst++ = acc6;
-      *pDst++ = acc7;
-
-      blkCnt--;
-   }
-
-   /* If the blockSize is not a multiple of 8, compute any remaining output samples here.  
-   ** No loop unrolling is used. */
-   blkCnt = blockSize % 0x8u;
-
-   while(blkCnt > 0u)
-   {
-      /* Copy one sample at a time into state buffer */
-      *pStateCurnt++ = *pSrc++;
-
-      /* Set the accumulator to zero */
-      acc0 = 0.0f;
-
-      /* Initialize state pointer */
-      px = pState;
-
-      /* Initialize Coefficient pointer */
-      pb = (pCoeffs);
-
-      i = numTaps;
-
-      /* Perform the multiply-accumulates */
-      do
-      {
-         acc0 += *px++ * *pb++;
-         i--;
-
-      } while(i > 0u);
-
-      /* The result is store in the destination buffer. */
-      *pDst++ = acc0;
-
-      /* Advance state pointer by 1 for the next sample */
-      pState = pState + 1;
-
-      blkCnt--;
-   }
-
-   /* Processing is complete.  
-   ** Now copy the last numTaps - 1 samples to the start of the state buffer.  
-   ** This prepares the state buffer for the next function call. */
-
-   /* Points to the start of the state buffer */
-   pStateCurnt = S->pState;
-
-   tapCnt = (numTaps - 1u) >> 2u;
-
-   /* copy data */
-   while(tapCnt > 0u)
-   {
-      *pStateCurnt++ = *pState++;
-      *pStateCurnt++ = *pState++;
-      *pStateCurnt++ = *pState++;
-      *pStateCurnt++ = *pState++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-   }
-
-   /* Calculate remaining number of copies */
-   tapCnt = (numTaps - 1u) % 0x4u;
-
-   /* Copy the remaining q31_t data */
-   while(tapCnt > 0u)
-   {
-      *pStateCurnt++ = *pState++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-   }
-}
-
-#elif defined(ARM_MATH_CM0_FAMILY)
-
-void arm_fir_f32(
-const arm_fir_instance_f32 * S,
-float32_t * pSrc,
-float32_t * pDst,
-uint32_t blockSize)
-{
-   float32_t *pState = S->pState;                 /* State pointer */
-   float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-   float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-   float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-   uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-   uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-   /* Run the below code for Cortex-M0 */
-
-   float32_t acc;
-
-   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-   /* pStateCurnt points to the location where the new input data should be written */
-   pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-   /* Initialize blkCnt with blockSize */
-   blkCnt = blockSize;
-
-   while(blkCnt > 0u)
-   {
-      /* Copy one sample at a time into state buffer */
-      *pStateCurnt++ = *pSrc++;
-
-      /* Set the accumulator to zero */
-      acc = 0.0f;
-
-      /* Initialize state pointer */
-      px = pState;
-
-      /* Initialize Coefficient pointer */
-      pb = pCoeffs;
-
-      i = numTaps;
-
-      /* Perform the multiply-accumulates */
-      do
-      {
-         /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
-         acc += *px++ * *pb++;
-         i--;
-
-      } while(i > 0u);
-
-      /* The result is store in the destination buffer. */
-      *pDst++ = acc;
-
-      /* Advance state pointer by 1 for the next sample */
-      pState = pState + 1;
-
-      blkCnt--;
-   }
-
-   /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-   /* Points to the start of the state buffer */
-   pStateCurnt = S->pState;
-
-   /* Copy numTaps number of values */
-   tapCnt = numTaps - 1u;
-
-   /* Copy data */
-   while(tapCnt > 0u)
-   {
-      *pStateCurnt++ = *pState++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-   }
-
-}
-
-#else
-
-/* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_fir_f32(
-const arm_fir_instance_f32 * S,
-float32_t * pSrc,
-float32_t * pDst,
-uint32_t blockSize)
-{
-   float32_t *pState = S->pState;                 /* State pointer */
-   float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-   float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-   float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-   float32_t acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;     /* Accumulators */
-   float32_t x0, x1, x2, x3, x4, x5, x6, x7, c0;  /* Temporary variables to hold state and coefficient values */
-   uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-   uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-   float32_t p0,p1,p2,p3,p4,p5,p6,p7;             /* Temporary product values */
-
-   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-   /* pStateCurnt points to the location where the new input data should be written */
-   pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-   /* Apply loop unrolling and compute 8 output values simultaneously.  
-    * The variables acc0 ... acc7 hold output values that are being computed:  
-    *  
-    *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]  
-    *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]  
-    *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]  
-    *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]  
-    */
-   blkCnt = blockSize >> 3;
-
-   /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.  
-   ** a second loop below computes the remaining 1 to 7 samples. */
-   while(blkCnt > 0u)
-   {
-      /* Copy four new input samples into the state buffer */
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-
-      /* Set all accumulators to zero */
-      acc0 = 0.0f;
-      acc1 = 0.0f;
-      acc2 = 0.0f;
-      acc3 = 0.0f;
-      acc4 = 0.0f;
-      acc5 = 0.0f;
-      acc6 = 0.0f;
-      acc7 = 0.0f;		
-
-      /* Initialize state pointer */
-      px = pState;
-
-      /* Initialize coeff pointer */
-      pb = (pCoeffs);		
-   
-      /* This is separated from the others to avoid 
-       * a call to __aeabi_memmove which would be slower
-       */
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-      *pStateCurnt++ = *pSrc++;
-
-      /* Read the first seven samples from the state buffer:  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
-      x0 = *px++;
-      x1 = *px++;
-      x2 = *px++;
-      x3 = *px++;
-      x4 = *px++;
-      x5 = *px++;
-      x6 = *px++;
-
-      /* Loop unrolling.  Process 8 taps at a time. */
-      tapCnt = numTaps >> 3u;
-      
-      /* Loop over the number of taps.  Unroll by a factor of 8.  
-       ** Repeat until we've computed numTaps-8 coefficients. */
-      while(tapCnt > 0u)
-      {
-         /* Read the b[numTaps-1] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-3] sample */
-         x7 = *(px++);
-
-         /* acc0 +=  b[numTaps-1] * x[n-numTaps] */
-         p0 = x0 * c0;
-
-         /* acc1 +=  b[numTaps-1] * x[n-numTaps-1] */
-         p1 = x1 * c0;
-
-         /* acc2 +=  b[numTaps-1] * x[n-numTaps-2] */
-         p2 = x2 * c0;
-
-         /* acc3 +=  b[numTaps-1] * x[n-numTaps-3] */
-         p3 = x3 * c0;
-
-         /* acc4 +=  b[numTaps-1] * x[n-numTaps-4] */
-         p4 = x4 * c0;
-
-         /* acc1 +=  b[numTaps-1] * x[n-numTaps-5] */
-         p5 = x5 * c0;
-
-         /* acc2 +=  b[numTaps-1] * x[n-numTaps-6] */
-         p6 = x6 * c0;
-
-         /* acc3 +=  b[numTaps-1] * x[n-numTaps-7] */
-         p7 = x7 * c0;
-         
-         /* Read the b[numTaps-2] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-4] sample */
-         x0 = *(px++);
-         
-         acc0 += p0;
-         acc1 += p1;
-         acc2 += p2;
-         acc3 += p3;
-         acc4 += p4;
-         acc5 += p5;
-         acc6 += p6;
-         acc7 += p7;
-
-
-         /* Perform the multiply-accumulate */
-         p0 = x1 * c0;
-         p1 = x2 * c0;   
-         p2 = x3 * c0;   
-         p3 = x4 * c0;   
-         p4 = x5 * c0;   
-         p5 = x6 * c0;   
-         p6 = x7 * c0;   
-         p7 = x0 * c0;   
-         
-         /* Read the b[numTaps-3] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-5] sample */
-         x1 = *(px++);
-         
-         acc0 += p0;
-         acc1 += p1;
-         acc2 += p2;
-         acc3 += p3;
-         acc4 += p4;
-         acc5 += p5;
-         acc6 += p6;
-         acc7 += p7;
-
-         /* Perform the multiply-accumulates */      
-         p0 = x2 * c0;
-         p1 = x3 * c0;   
-         p2 = x4 * c0;   
-         p3 = x5 * c0;   
-         p4 = x6 * c0;   
-         p5 = x7 * c0;   
-         p6 = x0 * c0;   
-         p7 = x1 * c0;   
-
-         /* Read the b[numTaps-4] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-6] sample */
-         x2 = *(px++);
-         
-         acc0 += p0;
-         acc1 += p1;
-         acc2 += p2;
-         acc3 += p3;
-         acc4 += p4;
-         acc5 += p5;
-         acc6 += p6;
-         acc7 += p7;
-
-         /* Perform the multiply-accumulates */      
-         p0 = x3 * c0;
-         p1 = x4 * c0;   
-         p2 = x5 * c0;   
-         p3 = x6 * c0;   
-         p4 = x7 * c0;   
-         p5 = x0 * c0;   
-         p6 = x1 * c0;   
-         p7 = x2 * c0;   
-
-         /* Read the b[numTaps-4] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-6] sample */
-         x3 = *(px++);
-         
-         acc0 += p0;
-         acc1 += p1;
-         acc2 += p2;
-         acc3 += p3;
-         acc4 += p4;
-         acc5 += p5;
-         acc6 += p6;
-         acc7 += p7;
-
-         /* Perform the multiply-accumulates */      
-         p0 = x4 * c0;
-         p1 = x5 * c0;   
-         p2 = x6 * c0;   
-         p3 = x7 * c0;   
-         p4 = x0 * c0;   
-         p5 = x1 * c0;   
-         p6 = x2 * c0;   
-         p7 = x3 * c0;   
-
-         /* Read the b[numTaps-4] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-6] sample */
-         x4 = *(px++);
-         
-         acc0 += p0;
-         acc1 += p1;
-         acc2 += p2;
-         acc3 += p3;
-         acc4 += p4;
-         acc5 += p5;
-         acc6 += p6;
-         acc7 += p7;
-
-         /* Perform the multiply-accumulates */      
-         p0 = x5 * c0;
-         p1 = x6 * c0;   
-         p2 = x7 * c0;   
-         p3 = x0 * c0;   
-         p4 = x1 * c0;   
-         p5 = x2 * c0;   
-         p6 = x3 * c0;   
-         p7 = x4 * c0;   
-
-         /* Read the b[numTaps-4] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-6] sample */
-         x5 = *(px++);
-         
-         acc0 += p0;
-         acc1 += p1;
-         acc2 += p2;
-         acc3 += p3;
-         acc4 += p4;
-         acc5 += p5;
-         acc6 += p6;
-         acc7 += p7;
-
-         /* Perform the multiply-accumulates */      
-         p0 = x6 * c0;
-         p1 = x7 * c0;   
-         p2 = x0 * c0;   
-         p3 = x1 * c0;   
-         p4 = x2 * c0;   
-         p5 = x3 * c0;   
-         p6 = x4 * c0;   
-         p7 = x5 * c0;   
-
-         /* Read the b[numTaps-4] coefficient */
-         c0 = *(pb++);
-
-         /* Read x[n-numTaps-6] sample */
-         x6 = *(px++);
-         
-         acc0 += p0;
-         acc1 += p1;
-         acc2 += p2;
-         acc3 += p3;
-         acc4 += p4;
-         acc5 += p5;
-         acc6 += p6;
-         acc7 += p7;
-
-         /* Perform the multiply-accumulates */      
-         p0 = x7 * c0;
-         p1 = x0 * c0;   
-         p2 = x1 * c0;   
-         p3 = x2 * c0;   
-         p4 = x3 * c0;   
-         p5 = x4 * c0;   
-         p6 = x5 * c0;   
-         p7 = x6 * c0;   
-
-         tapCnt--;
-         
-         acc0 += p0;
-         acc1 += p1;
-         acc2 += p2;
-         acc3 += p3;
-         acc4 += p4;
-         acc5 += p5;
-         acc6 += p6;
-         acc7 += p7;
-      }
-
-      /* If the filter length is not a multiple of 8, compute the remaining filter taps */
-      tapCnt = numTaps % 0x8u;
-
-      while(tapCnt > 0u)
-      {
-         /* Read coefficients */
-         c0 = *(pb++);
-
-         /* Fetch 1 state variable */
-         x7 = *(px++);
-
-         /* Perform the multiply-accumulates */      
-         p0 = x0 * c0;
-         p1 = x1 * c0;   
-         p2 = x2 * c0;   
-         p3 = x3 * c0;   
-         p4 = x4 * c0;   
-         p5 = x5 * c0;   
-         p6 = x6 * c0;   
-         p7 = x7 * c0;   
-
-         /* Reuse the present sample states for next sample */
-         x0 = x1;
-         x1 = x2;
-         x2 = x3;
-         x3 = x4;
-         x4 = x5;
-         x5 = x6;
-         x6 = x7;
-         
-         acc0 += p0;
-         acc1 += p1;
-         acc2 += p2;
-         acc3 += p3;
-         acc4 += p4;
-         acc5 += p5;
-         acc6 += p6;
-         acc7 += p7;
-
-         /* Decrement the loop counter */
-         tapCnt--;
-      }
-
-      /* Advance the state pointer by 8 to process the next group of 8 samples */
-      pState = pState + 8;
-
-      /* The results in the 8 accumulators, store in the destination buffer. */
-      *pDst++ = acc0;
-      *pDst++ = acc1;
-      *pDst++ = acc2;
-      *pDst++ = acc3;
-      *pDst++ = acc4;
-      *pDst++ = acc5;
-      *pDst++ = acc6;
-      *pDst++ = acc7;
-
-      blkCnt--;
-   }
-
-   /* If the blockSize is not a multiple of 8, compute any remaining output samples here.  
-   ** No loop unrolling is used. */
-   blkCnt = blockSize % 0x8u;
-
-   while(blkCnt > 0u)
-   {
-      /* Copy one sample at a time into state buffer */
-      *pStateCurnt++ = *pSrc++;
-
-      /* Set the accumulator to zero */
-      acc0 = 0.0f;
-
-      /* Initialize state pointer */
-      px = pState;
-
-      /* Initialize Coefficient pointer */
-      pb = (pCoeffs);
-
-      i = numTaps;
-
-      /* Perform the multiply-accumulates */
-      do
-      {
-         acc0 += *px++ * *pb++;
-         i--;
-
-      } while(i > 0u);
-
-      /* The result is store in the destination buffer. */
-      *pDst++ = acc0;
-
-      /* Advance state pointer by 1 for the next sample */
-      pState = pState + 1;
-
-      blkCnt--;
-   }
-
-   /* Processing is complete.  
-   ** Now copy the last numTaps - 1 samples to the start of the state buffer.  
-   ** This prepares the state buffer for the next function call. */
-
-   /* Points to the start of the state buffer */
-   pStateCurnt = S->pState;
-
-   tapCnt = (numTaps - 1u) >> 2u;
-
-   /* copy data */
-   while(tapCnt > 0u)
-   {
-      *pStateCurnt++ = *pState++;
-      *pStateCurnt++ = *pState++;
-      *pStateCurnt++ = *pState++;
-      *pStateCurnt++ = *pState++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-   }
-
-   /* Calculate remaining number of copies */
-   tapCnt = (numTaps - 1u) % 0x4u;
-
-   /* Copy the remaining q31_t data */
-   while(tapCnt > 0u)
-   {
-      *pStateCurnt++ = *pState++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-   }
-}
-
-#endif 
-
-/**  
-* @} end of FIR group  
-*/
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q15.c
deleted file mode 100644
index 72b50635..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q15.c
+++ /dev/null
@@ -1,345 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_fast_q15.c    
-*    
-* Description:  Q15 Fast FIR filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @param[in] *S points to an instance of the Q15 FIR filter structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in] blockSize number of samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * This fast version uses a 32-bit accumulator with 2.30 format.    
- * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around and distorts the result.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.    
- * The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.    
- *    
- * \par    
- * Refer to the function arm_fir_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.  Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_fir_init_q15() to initialize the filter structure.    
- */
-
-void arm_fir_fast_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q15_t *px;                                     /* Temporary q31 pointer for SIMD state buffer accesses */
-  q31_t x0, x1, x2, c0;                          /* Temporary variables to hold SIMD state and coefficient values */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.      
-   * The variables acc0 ... acc3 hold output values that are being computed:      
-   *      
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]      
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]      
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]      
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]      
-   */
-
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.      
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer.      
-     ** Use 32-bit SIMD to move the 16-bit data.  Only requires two copies. */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
-    px = pState;
-
-    /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
-    pb = pCoeffs;
-
-    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
-    x0 = *__SIMD32(px)++;
-
-    /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
-    x2 = *__SIMD32(px)++;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.      
-     ** Repeat until we've computed numTaps-(numTaps%4) coefficients. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0)
-    {
-      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
-      acc0 = __SMLAD(x0, c0, acc0);
-
-      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
-      acc2 = __SMLAD(x2, c0, acc2);
-
-      /* pack  x[n-N-1] and x[n-N-2] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* Read state x[n-N-4], x[n-N-5] */
-      x0 = _SIMD32_OFFSET(px);
-
-      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
-      acc1 = __SMLADX(x1, c0, acc1);
-
-      /* pack  x[n-N-3] and x[n-N-4] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x0, x2, 0);
-#else
-      x1 = __PKHBT(x2, x0, 0);
-#endif
-
-      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
-      acc3 = __SMLADX(x1, c0, acc3);
-
-      /* Read coefficients b[N-2], b[N-3] */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
-      acc0 = __SMLAD(x2, c0, acc0);
-
-      /* Read state x[n-N-6], x[n-N-7] with offset */
-      x2 = _SIMD32_OFFSET(px + 2u);
-
-      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
-      acc2 = __SMLAD(x0, c0, acc2);
-
-      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
-      acc1 = __SMLADX(x1, c0, acc1);
-
-      /* pack  x[n-N-5] and x[n-N-6] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
-      acc3 = __SMLADX(x1, c0, acc3);
-
-      /* Update state pointer for next state reading */
-      px += 4u;
-
-      /* Decrement tap count */
-      tapCnt--;
-
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps.       
-     ** This is always be 2 taps since the filter length is even. */
-    if((numTaps & 0x3u) != 0u)
-    {
-
-      /* Read last two coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Perform the multiply-accumulates */
-      acc0 = __SMLAD(x0, c0, acc0);
-      acc2 = __SMLAD(x2, c0, acc2);
-
-      /* pack state variables */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* Read last state variables */
-      x0 = *__SIMD32(px);
-
-      /* Perform the multiply-accumulates */
-      acc1 = __SMLADX(x1, c0, acc1);
-
-      /* pack state variables */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x0, x2, 0);
-#else
-      x1 = __PKHBT(x2, x0, 0);
-#endif
-
-      /* Perform the multiply-accumulates */
-      acc3 = __SMLADX(x1, c0, acc3);
-    }
-
-    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the 4 outputs in the destination buffer. */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.      
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-  while(blkCnt > 0u)
-  {
-    /* Copy two samples into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Use SIMD to hold states and coefficients */
-    px = pState;
-    pb = pCoeffs;
-
-    tapCnt = numTaps >> 1u;
-
-    do
-    {
-
-      acc0 += (q31_t) * px++ * *pb++;
-	  acc0 += (q31_t) * px++ * *pb++;
-
-      tapCnt--;
-    }
-    while(tapCnt > 0u);
-
-    /* The result is in 2.30 format.  Convert to 1.15 with saturation.      
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.      
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.      
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculation of count for copying integer writes */
-  tapCnt = (numTaps - 1u) >> 2;
-
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    tapCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* copy remaining data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q31.c
deleted file mode 100644
index 13073c43..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q31.c
+++ /dev/null
@@ -1,305 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_fast_q31.c    
-*    
-* Description:	Processing function for the Q31 Fast FIR filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @param[in] *S points to an instance of the Q31 structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block output data.    
- * @param[in] blockSize number of samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
- * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
- * These intermediate results are added to a 2.30 accumulator.    
- * Finally, the accumulator is saturated and converted to a 1.31 result.    
- * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.    
- *    
- * \par    
- * Refer to the function arm_fir_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.  Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_fir_init_q31() to initialize the filter structure.    
- */
-
-IAR_ONLY_LOW_OPTIMIZATION_ENTER
-void arm_fir_fast_q31(
-  const arm_fir_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t x0, x1, x2, x3;                          /* Temporary variables to hold state */
-  q31_t c0;                                      /* Temporary variable to hold coefficient value */
-  q31_t *px;                                     /* Temporary pointer for state */
-  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.    
-   * The variables acc0 ... acc3 hold output values that are being computed:    
-   *    
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]    
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]    
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]    
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]    
-   */
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Read the first three samples from the state buffer:    
-     *  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
-    x0 = *(px++);
-    x1 = *(px++);
-    x2 = *(px++);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-    i = tapCnt;
-
-    while(i > 0u)
-    {
-      /* Read the b[numTaps] coefficient */
-      c0 = *pb;
-
-      /* Read x[n-numTaps-3] sample */
-      x3 = *px;
-
-      /* acc0 +=  b[numTaps] * x[n-numTaps] */
-      multAcc_32x32_keep32_R(acc0, x0, c0);
-
-      /* acc1 +=  b[numTaps] * x[n-numTaps-1] */
-      multAcc_32x32_keep32_R(acc1, x1, c0);
-
-      /* acc2 +=  b[numTaps] * x[n-numTaps-2] */
-      multAcc_32x32_keep32_R(acc2, x2, c0);
-
-      /* acc3 +=  b[numTaps] * x[n-numTaps-3] */
-      multAcc_32x32_keep32_R(acc3, x3, c0);
-
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb + 1u);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px + 1u);
-
-      /* Perform the multiply-accumulates */      
-      multAcc_32x32_keep32_R(acc0, x1, c0);
-      multAcc_32x32_keep32_R(acc1, x2, c0);
-      multAcc_32x32_keep32_R(acc2, x3, c0);
-      multAcc_32x32_keep32_R(acc3, x0, c0);
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb + 2u);
-
-      /* Read x[n-numTaps-5] sample */
-      x1 = *(px + 2u);
-
-      /* Perform the multiply-accumulates */      
-      multAcc_32x32_keep32_R(acc0, x2, c0);
-      multAcc_32x32_keep32_R(acc1, x3, c0);
-      multAcc_32x32_keep32_R(acc2, x0, c0);
-      multAcc_32x32_keep32_R(acc3, x1, c0);
-
-      /* Read the b[numTaps-3] coefficients */
-      c0 = *(pb + 3u);
-
-      /* Read x[n-numTaps-6] sample */
-      x2 = *(px + 3u);
-
-      /* Perform the multiply-accumulates */      
-      multAcc_32x32_keep32_R(acc0, x3, c0);
-      multAcc_32x32_keep32_R(acc1, x0, c0);
-      multAcc_32x32_keep32_R(acc2, x1, c0);
-      multAcc_32x32_keep32_R(acc3, x2, c0);
-
-      /* update coefficient pointer */
-      pb += 4u;
-      px += 4u;
-      
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-
-    i = numTaps - (tapCnt * 4u);
-    while(i > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x3 = *(px++);
-
-      /* Perform the multiply-accumulates */      
-      multAcc_32x32_keep32_R(acc0, x0, c0);
-      multAcc_32x32_keep32_R(acc1, x1, c0);
-      multAcc_32x32_keep32_R(acc2, x2, c0);
-      multAcc_32x32_keep32_R(acc3, x3, c0);
-
-      /* Reuse the present sample states for next sample */
-      x0 = x1;
-      x1 = x2;
-      x2 = x3;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 4;
-
-    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.31    
-     ** Then store the 4 outputs in the destination buffer. */
-    *pDst++ = (q31_t) (acc0 << 1);
-    *pDst++ = (q31_t) (acc1 << 1);
-    *pDst++ = (q31_t) (acc2 << 1);
-    *pDst++ = (q31_t) (acc3 << 1);
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = (pCoeffs);
-
-    i = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      multAcc_32x32_keep32_R(acc0, (*px++), (*(pb++)));
-      i--;
-    } while(i > 0u);
-
-    /* The result is in 2.30 format.  Convert to 1.31    
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q31_t) (acc0 << 1);
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.    
-   ** Now copy the last numTaps - 1 samples to the start of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-
-}
-IAR_ONLY_LOW_OPTIMIZATION_EXIT
-/**    
- * @} end of FIR group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_f32.c
deleted file mode 100644
index 34cf7ea0..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_f32.c
+++ /dev/null
@@ -1,96 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_init_f32.c    
-*    
-* Description:  Floating-point FIR filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in,out] *S points to an instance of the floating-point FIR filter structure.    
- * @param[in] 	  numTaps  Number of filter coefficients in the filter.    
- * @param[in]     *pCoeffs points to the filter coefficients buffer.    
- * @param[in]     *pState points to the state buffer.    
- * @param[in] 	  blockSize number of samples that are processed per call.    
- * @return 		  none.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_f32().    
- */
-
-void arm_fir_init_f32(
-  arm_fir_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and the size of state buffer is (blockSize + numTaps - 1) */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q15.c
deleted file mode 100644
index 7eaab235..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q15.c
+++ /dev/null
@@ -1,154 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_init_q15.c    
-*    
-* Description:  Q15 FIR filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @param[in,out]  *S points to an instance of the Q15 FIR filter structure.    
- * @param[in] 	   numTaps  Number of filter coefficients in the filter. Must be even and greater than or equal to 4.    
- * @param[in]      *pCoeffs points to the filter coefficients buffer.    
- * @param[in]      *pState points to the state buffer.    
- * @param[in]      blockSize is number of samples processed per call.    
- * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if    
- * numTaps is not greater than or equal to 4 and even.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * Note that numTaps must be even and greater than or equal to 4.    
- * To implement an odd length filter simply increase numTaps by 1 and set the last coefficient to zero.    
- * For example, to implement a filter with numTaps=3 and coefficients    
- * 
    
- *     {0.3, -0.8, 0.3}    
- * 
    
- * set numTaps=4 and use the coefficients:    
- * 
    
- *     {0.3, -0.8, 0.3, 0}.    
- * 
    
- * Similarly, to implement a two point filter    
- * 
    
- *     {0.3, -0.3}    
- * 
    
- * set numTaps=4 and use the coefficients:    
- * 
    
- *     {0.3, -0.3, 0, 0}.    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize, when running on Cortex-M4 and Cortex-M3  and is of length numTaps+blockSize-1, when running on Cortex-M0 where blockSize is the number of input samples processed by each call to arm_fir_q15().    
- */
-
-arm_status arm_fir_init_q15(
-  arm_fir_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* The Number of filter coefficients in the filter must be even and at least 4 */
-  if(numTaps & 0x1u)
-  {
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-    /* Assign filter taps */
-    S->numTaps = numTaps;
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Clear the state buffer.  The size is always (blockSize + numTaps ) */
-    memset(pState, 0, (numTaps + (blockSize)) * sizeof(q15_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear the state buffer.  The size is always (blockSize + numTaps - 1) */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  status = ARM_MATH_SUCCESS;
-
-  return (status);
-
-#endif /*  #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q31.c
deleted file mode 100644
index c2092e02..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q31.c
+++ /dev/null
@@ -1,96 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_init_q31.c    
-*    
-* Description:	Q31 FIR filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in,out] *S points to an instance of the Q31 FIR filter structure.    
- * @param[in] 	  numTaps  Number of filter coefficients in the filter.    
- * @param[in] 	  *pCoeffs points to the filter coefficients buffer.    
- * @param[in] 	  *pState points to the state buffer.    
- * @param[in] 	  blockSize number of samples that are processed per call.    
- * @return        none.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q31().    
- */
-
-void arm_fir_init_q31(
-  arm_fir_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and state array size is (blockSize + numTaps - 1) */
-  memset(pState, 0, (blockSize + ((uint32_t) numTaps - 1u)) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q7.c
deleted file mode 100644
index ccbc7d73..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q7.c
+++ /dev/null
@@ -1,94 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_init_q7.c    
-*    
-* Description:  Q7 FIR filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-/**    
- * @param[in,out] *S points to an instance of the Q7 FIR filter structure.    
- * @param[in] 	  numTaps  Number of filter coefficients in the filter.    
- * @param[in] 	  *pCoeffs points to the filter coefficients buffer.    
- * @param[in]     *pState points to the state buffer.    
- * @param[in]     blockSize number of samples that are processed per call.    
- * @return     	  none    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q7().    
- */
-
-void arm_fir_init_q7(
-  arm_fir_instance_q7 * S,
-  uint16_t numTaps,
-  q7_t * pCoeffs,
-  q7_t * pState,
-  uint32_t blockSize)
-{
-
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear the state buffer.  The size is always (blockSize + numTaps - 1) */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q7_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c
deleted file mode 100644
index 5ad249e3..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c
+++ /dev/null
@@ -1,581 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_interpolate_f32.c    
-*    
-* Description:	FIR interpolation for floating-point sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @defgroup FIR_Interpolate Finite Impulse Response (FIR) Interpolator    
- *    
- * These functions combine an upsampler (zero stuffer) and an FIR filter.    
- * They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images.    
- * Conceptually, the functions are equivalent to the block diagram below:    
- * \image html FIRInterpolator.gif "Components included in the FIR Interpolator functions"    
- * After upsampling by a factor of L, the signal should be filtered by a lowpass filter with a normalized    
- * cutoff frequency of 1/L in order to eliminate high frequency copies of the spectrum.    
- * The user of the function is responsible for providing the filter coefficients.    
- *    
- * The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner.    
- * The upsampler inserts L-1 zeros between each sample.    
- * Instead of multiplying by these zero values, the FIR filter is designed to skip them.    
- * This leads to an efficient implementation without any wasted effort.    
- * The functions operate on blocks of input and output data.    
- * pSrc points to an array of blockSize input values and    
- * pDst points to an array of blockSize*L output values.    
- *    
- * The library provides separate functions for Q15, Q31, and floating-point data types.    
- *    
- * \par Algorithm:    
- * The functions use a polyphase filter structure:    
- * 
    
- *    y[n] = b[0] * x[n] + b[L]   * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1]    
- *    y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1]    
- *    ...    
- *    y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1]    
- * 
    
- * This approach is more efficient than straightforward upsample-then-filter algorithms.    
- * With this method the computation is reduced by a factor of 1/L when compared to using a standard FIR filter.    
- * \par    
- * pCoeffs points to a coefficient array of size numTaps.    
- * numTaps must be a multiple of the interpolation factor L and this is checked by the    
- * initialization functions.    
- * Internally, the function divides the FIR filter's impulse response into shorter filters of length    
- * phaseLength=numTaps/L.    
- * Coefficients are stored in time reversed order.    
- * \par    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to a state array of size blockSize + phaseLength - 1.    
- * Samples in the state buffer are stored in the order:    
- * \par    
- * 
    
- *    {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]}    
- * 
    
- * The state variables are updated after each block of data is processed, the coefficients are untouched.    
- *    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable array should be allocated separately.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * - Checks to make sure that the length of the filter is a multiple of the interpolation factor.    
- * To do this manually without calling the init function, assign the follow subfields of the instance structure:
- * L (interpolation factor), pCoeffs, phaseLength (numTaps / L), pState. Also set all of the values in pState to zero. 
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * The code below statically initializes each of the 3 different data type filter instance structures    
- * 
    
- * arm_fir_interpolate_instance_f32 S = {L, phaseLength, pCoeffs, pState};    
- * arm_fir_interpolate_instance_q31 S = {L, phaseLength, pCoeffs, pState};    
- * arm_fir_interpolate_instance_q15 S = {L, phaseLength, pCoeffs, pState};    
- * 
    
- * where L is the interpolation factor; phaseLength=numTaps/L is the    
- * length of each of the shorter FIR filters used internally,    
- * pCoeffs is the address of the coefficient buffer;    
- * pState is the address of the state buffer.    
- * Be sure to set the values in the state buffer to zeros when doing static initialization.    
- *    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the FIR interpolate filter functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the floating-point FIR interpolator.    
- * @param[in] *S        points to an instance of the floating-point FIR interpolator structure.    
- * @param[in] *pSrc     points to the block of input data.    
- * @param[out] *pDst    points to the block of output data.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none.    
- */
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_fir_interpolate_f32(
-  const arm_fir_interpolate_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *ptr1, *ptr2;                        /* Temporary pointers for state and coefficient buffers */
-  float32_t sum0;                                /* Accumulators */
-  float32_t x0, c0;                              /* Temporary variables to hold state and coefficient values */
-  uint32_t i, blkCnt, j;                         /* Loop counters */
-  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
-  float32_t acc0, acc1, acc2, acc3;
-  float32_t x1, x2, x3;
-  uint32_t blkCntN4;
-  float32_t c1, c2, c3;
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (phaseLen - 1u);
-
-  /* Initialise  blkCnt */
-  blkCnt = blockSize / 4;
-  blkCntN4 = blockSize - (4 * blkCnt);
-
-  /* Samples loop unrolled by 4 */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = (S->L);
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      acc0 = 0.0f;
-      acc1 = 0.0f;
-      acc2 = 0.0f;
-      acc3 = 0.0f;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2u;
-
-      x0 = *(ptr1++);
-      x1 = *(ptr1++);
-      x2 = *(ptr1++);
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x3 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += x0 * c0;
-        acc1 += x1 * c0;
-        acc2 += x2 * c0;
-        acc3 += x3 * c0;
-
-        /* Read the coefficient */
-        c1 = *(ptr2 + S->L);
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += x1 * c1;
-        acc1 += x2 * c1;
-        acc2 += x3 * c1;
-        acc3 += x0 * c1;
-
-        /* Read the coefficient */
-        c2 = *(ptr2 + S->L * 2);
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += x2 * c2;
-        acc1 += x3 * c2;
-        acc2 += x0 * c2;
-        acc3 += x1 * c2;
-
-        /* Read the coefficient */
-        c3 = *(ptr2 + S->L * 3);
-
-        /* Read the input sample */
-        x2 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += x3 * c3;
-        acc1 += x0 * c3;
-        acc2 += x1 * c3;
-        acc3 += x2 * c3;
-
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += 4 * S->L;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen % 0x4u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x3 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += x0 * c0;
-        acc1 += x1 * c0;
-        acc2 += x2 * c0;
-        acc3 += x3 * c0;
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* update states for next sample processing */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst = acc0;
-      *(pDst + S->L) = acc1;
-      *(pDst + 2 * S->L) = acc2;
-      *(pDst + 3 * S->L) = acc3;
-
-      pDst++;
-
-      /* Increment the address modifier index of coefficient buffer */
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 4;
-
-    pDst += S->L * 3;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-
-  while(blkCntN4 > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum0 = 0.0f;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2u;
-      while(tapCnt > 0u)
-      {
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += x0 * c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += x0 * c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += x0 * c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += x0 * c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen % 0x4u;
-
-      while(tapCnt > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum0 += *(ptr1++) * (*ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst++ = sum0;
-
-      /* Increment the address modifier index of coefficient buffer */
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCntN4--;
-  }
-
-  /* Processing is complete.        
-   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.        
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = (phaseLen - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  tapCnt = (phaseLen - 1u) % 0x04u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-}
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-void arm_fir_interpolate_f32(
-  const arm_fir_interpolate_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *ptr1, *ptr2;                        /* Temporary pointers for state and coefficient buffers */
-
-
-  float32_t sum;                                 /* Accumulator */
-  uint32_t i, blkCnt;                            /* Loop counters */
-  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
-
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (phaseLen - 1u);
-
-  /* Total number of intput samples */
-  blkCnt = blockSize;
-
-  /* Loop over the blockSize. */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum = 0.0f;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (i - 1u);
-
-      /* Loop over the polyPhase length */
-      tapCnt = phaseLen;
-
-      while(tapCnt > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += *ptr1++ * *ptr2;
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst++ = sum;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1           
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = phaseLen - 1u;
-
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
deleted file mode 100644
index 085cb578..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
+++ /dev/null
@@ -1,121 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_interpolate_init_f32.c    
-*    
-* Description:  Floating-point FIR interpolator initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the floating-point FIR interpolator.    
- * @param[in,out] *S        points to an instance of the floating-point FIR interpolator structure.    
- * @param[in]     L         upsample factor.    
- * @param[in]     numTaps   number of filter coefficients in the filter.    
- * @param[in]     *pCoeffs  points to the filter coefficient buffer.    
- * @param[in]     *pState   points to the state buffer.    
- * @param[in]     blockSize number of input samples to process per call.    
- * @return        The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * the filter length numTaps is not a multiple of the interpolation factor L.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
- * 
    
- * The length of the filter numTaps must be a multiple of the interpolation factor L.    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length (numTaps/L)+blockSize-1 words    
- * where blockSize is the number of input samples processed by each call to arm_fir_interpolate_f32().    
- */
-
-arm_status arm_fir_interpolate_init_f32(
-  arm_fir_interpolate_instance_f32 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-  /* The filter length must be a multiple of the interpolation factor */
-  if((numTaps % L) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Assign Interpolation factor */
-    S->L = L;
-
-    /* Assign polyPhaseLength */
-    S->phaseLength = numTaps / L;
-
-    /* Clear state buffer and size of state array is always phaseLength + blockSize - 1 */
-    memset(pState, 0,
-           (blockSize +
-            ((uint32_t) S->phaseLength - 1u)) * sizeof(float32_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
deleted file mode 100644
index 99895226..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
+++ /dev/null
@@ -1,120 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_interpolate_init_q15.c    
-*    
-* Description:  Q15 FIR interpolator initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the Q15 FIR interpolator.    
- * @param[in,out] *S        points to an instance of the Q15 FIR interpolator structure.    
- * @param[in]     L         upsample factor.    
- * @param[in]     numTaps   number of filter coefficients in the filter.    
- * @param[in]     *pCoeffs  points to the filter coefficient buffer.    
- * @param[in]     *pState   points to the state buffer.    
- * @param[in]     blockSize number of input samples to process per call.    
- * @return        The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * the filter length numTaps is not a multiple of the interpolation factor L.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
- * 
    
- * The length of the filter numTaps must be a multiple of the interpolation factor L.    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length (numTaps/L)+blockSize-1 words    
- * where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q15().    
- */
-
-arm_status arm_fir_interpolate_init_q15(
-  arm_fir_interpolate_instance_q15 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-  /* The filter length must be a multiple of the interpolation factor */
-  if((numTaps % L) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Assign Interpolation factor */
-    S->L = L;
-
-    /* Assign polyPhaseLength */
-    S->phaseLength = numTaps / L;
-
-    /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
-    memset(pState, 0,
-           (blockSize + ((uint32_t) S->phaseLength - 1u)) * sizeof(q15_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
deleted file mode 100644
index 1887524d..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
+++ /dev/null
@@ -1,121 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_interpolate_init_q31.c    
-*    
-* Description:  Q31 FIR interpolator initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-
-/**    
- * @brief  Initialization function for the Q31 FIR interpolator.    
- * @param[in,out] *S        points to an instance of the Q31 FIR interpolator structure.    
- * @param[in]     L         upsample factor.    
- * @param[in]     numTaps   number of filter coefficients in the filter.    
- * @param[in]     *pCoeffs  points to the filter coefficient buffer.    
- * @param[in]     *pState   points to the state buffer.    
- * @param[in]     blockSize number of input samples to process per call.    
- * @return        The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * the filter length numTaps is not a multiple of the interpolation factor L.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
- * 
    
- * The length of the filter numTaps must be a multiple of the interpolation factor L.    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length (numTaps/L)+blockSize-1 words    
- * where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q31().    
- */
-
-arm_status arm_fir_interpolate_init_q31(
-  arm_fir_interpolate_instance_q31 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-  /* The filter length must be a multiple of the interpolation factor */
-  if((numTaps % L) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Assign Interpolation factor */
-    S->L = L;
-
-    /* Assign polyPhaseLength */
-    S->phaseLength = numTaps / L;
-
-    /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
-    memset(pState, 0,
-           (blockSize + ((uint32_t) S->phaseLength - 1u)) * sizeof(q31_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q15.c
deleted file mode 100644
index 34c085ae..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q15.c
+++ /dev/null
@@ -1,508 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fir_interpolate_q15.c    
-*    
-* Description:	Q15 FIR interpolation.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 FIR interpolator.    
- * @param[in] *S        points to an instance of the Q15 FIR interpolator structure.    
- * @param[in] *pSrc     points to the block of input data.    
- * @param[out] *pDst    points to the block of output data.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
- * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
- */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_fir_interpolate_q15(
-  const arm_fir_interpolate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer                                            */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer                                      */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state                */
-  q15_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers     */
-  q63_t sum0;                                    /* Accumulators                                             */
-  q15_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  uint32_t i, blkCnt, j, tapCnt;                 /* Loop counters                                            */
-  uint16_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
-  uint32_t blkCntN2;
-  q63_t acc0, acc1;
-  q15_t x1;
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
-
-  /* Initialise  blkCnt */
-  blkCnt = blockSize / 2;
-  blkCntN2 = blockSize - (2 * blkCnt);
-
-  /* Samples loop unrolled by 2 */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = (S->L);
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      acc0 = 0;
-      acc1 = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2u;
-
-      x0 = *(ptr1++);
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L);
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x1 *c0;
-        acc1 += (q63_t) x0 *c0;
-
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L * 2);
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L * 3);
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x1 *c0;
-        acc1 += (q63_t) x0 *c0;
-
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += 4 * S->L;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen % 0x4u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* update states for next sample processing */
-        x0 = x1;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst = (q15_t) (__SSAT((acc0 >> 15), 16));
-      *(pDst + S->L) = (q15_t) (__SSAT((acc1 >> 15), 16));
-
-      pDst++;
-
-      /* Increment the address modifier index of coefficient buffer */
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 2;
-
-    pDst += S->L;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 2, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = blkCntN2;
-
-  /* Loop over the blockSize. */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum0 = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2;
-      while(tapCnt > 0u)
-      {
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen & 0x3u;
-
-      while(tapCnt > 0u)
-      {
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-  /* Processing is complete.    
-   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = ((uint32_t) phaseLen - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-#else
-
-    *pStateCurnt++ = *pState++;
-	*pStateCurnt++ = *pState++;
-	*pStateCurnt++ = *pState++;
-	*pStateCurnt++ = *pState++;
-	
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-	
-	/* Decrement the loop counter */
-    i--;
-  }
-
-  i = ((uint32_t) phaseLen - 1u) % 0x04u;
-
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-void arm_fir_interpolate_q15(
-  const arm_fir_interpolate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer                                            */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer                                      */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state                */
-  q15_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers     */
-  q63_t sum;                                     /* Accumulator */
-  q15_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  uint32_t i, blkCnt, tapCnt;                    /* Loop counters                                            */
-  uint16_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
-
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (phaseLen - 1u);
-
-  /* Total number of intput samples */
-  blkCnt = blockSize;
-
-  /* Loop over the blockSize. */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (i - 1u);
-
-      /* Loop over the polyPhase length */
-      tapCnt = (uint32_t) phaseLen;
-
-      while(tapCnt > 0u)
-      {
-        /* Read the coefficient */
-        c0 = *ptr2;
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *ptr1++;
-
-        /* Perform the multiply-accumulate */
-        sum += ((q31_t) x0 * c0);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* Store the result after converting to 1.15 format in the destination buffer */
-      *pDst++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1           
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (uint32_t) phaseLen - 1u;
-
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q31.c
deleted file mode 100644
index a4e91b06..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q31.c
+++ /dev/null
@@ -1,504 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fir_interpolate_q31.c    
-*    
-* Description:	Q31 FIR interpolation.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 FIR interpolator.    
- * @param[in] *S        points to an instance of the Q31 FIR interpolator structure.    
- * @param[in] *pSrc     points to the block of input data.    
- * @param[out] *pDst    points to the block of output data.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by 1/(numTaps/L).    
- * since numTaps/L additions occur per output sample.    
- * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.    
- */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_fir_interpolate_q31(
-  const arm_fir_interpolate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers */
-  q63_t sum0;                                    /* Accumulators */
-  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  uint32_t i, blkCnt, j;                         /* Loop counters */
-  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
-
-  uint32_t blkCntN2;
-  q63_t acc0, acc1;
-  q31_t x1;
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
-
-  /* Initialise  blkCnt */
-  blkCnt = blockSize / 2;
-  blkCntN2 = blockSize - (2 * blkCnt);
-
-  /* Samples loop unrolled by 2 */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = (S->L);
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      acc0 = 0;
-      acc1 = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2u;
-
-      x0 = *(ptr1++);
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L);
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x1 *c0;
-        acc1 += (q63_t) x0 *c0;
-
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L * 2);
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L * 3);
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x1 *c0;
-        acc1 += (q63_t) x0 *c0;
-
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += 4 * S->L;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen % 0x4u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* update states for next sample processing */
-        x0 = x1;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst = (q31_t) (acc0 >> 31);
-      *(pDst + S->L) = (q31_t) (acc1 >> 31);
-
-
-      pDst++;
-
-      /* Increment the address modifier index of coefficient buffer */
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 2;
-
-    pDst += S->L;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 2, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = blkCntN2;
-
-  /* Loop over the blockSize. */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum0 = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2;
-      while(tapCnt > 0u)
-      {
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen & 0x3u;
-
-      while(tapCnt > 0u)
-      {
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst++ = (q31_t) (sum0 >> 31);
-
-      /* Increment the address modifier index of coefficient buffer */
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.        
-   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.        
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = (phaseLen - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  tapCnt = (phaseLen - 1u) % 0x04u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-
-#else
-
-void arm_fir_interpolate_q31(
-  const arm_fir_interpolate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers */
-
-  /* Run the below code for Cortex-M0 */
-
-  q63_t sum;                                     /* Accumulator */
-  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  uint32_t i, blkCnt;                            /* Loop counters */
-  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
-
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
-
-  /* Total number of intput samples */
-  blkCnt = blockSize;
-
-  /* Loop over the blockSize. */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (i - 1u);
-
-      tapCnt = phaseLen;
-
-      while(tapCnt > 0u)
-      {
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *ptr1++;
-
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) x0 *c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst++ = (q31_t) (sum >> 31);
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1           
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = phaseLen - 1u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_f32.c
deleted file mode 100644
index 4be468c7..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_f32.c
+++ /dev/null
@@ -1,506 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_lattice_f32.c    
-*    
-* Description:	Processing function for the floating-point FIR Lattice filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup FIR_Lattice Finite Impulse Response (FIR) Lattice Filters    
- *    
- * This set of functions implements Finite Impulse Response (FIR) lattice filters    
- * for Q15, Q31 and floating-point data types.  Lattice filters are used in a     
- * variety of adaptive filter applications.  The filter structure is feedforward and    
- * the net impulse response is finite length.    
- * The functions operate on blocks    
- * of input and output data and each call to the function processes    
- * blockSize samples through the filter.  pSrc and    
- * pDst point to input and output arrays containing blockSize values.    
- *    
- * \par Algorithm:    
- * \image html FIRLattice.gif "Finite Impulse Response Lattice filter"    
- * The following difference equation is implemented:    
- * 
    
- *    f0[n] = g0[n] = x[n]    
- *    fm[n] = fm-1[n] + km * gm-1[n-1] for m = 1, 2, ...M    
- *    gm[n] = km * fm-1[n] + gm-1[n-1] for m = 1, 2, ...M    
- *    y[n] = fM[n]    
- * 
    
- * \par    
- * pCoeffs points to tha array of reflection coefficients of size numStages.    
- * Reflection Coefficients are stored in the following order.    
- * \par    
- * 
    
- *    {k1, k2, ..., kM}    
- * 
    
- * where M is number of stages    
- * \par    
- * pState points to a state array of size numStages.    
- * The state variables (g values) hold previous inputs and are stored in the following order.    
- * 
    
- *    {g0[n], g1[n], g2[n] ...gM-1[n]}    
- * 
    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * To do this manually without calling the init function, assign the follow subfields of the instance structure:
- * numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:    
- * 
    
- *arm_fir_lattice_instance_f32 S = {numStages, pState, pCoeffs};    
- *arm_fir_lattice_instance_q31 S = {numStages, pState, pCoeffs};    
- *arm_fir_lattice_instance_q15 S = {numStages, pState, pCoeffs};    
- * 
    
- * \par    
- * where numStages is the number of stages in the filter; pState is the address of the state buffer;    
- * pCoeffs is the address of the coefficient buffer.    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the FIR Lattice filter functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-
-  /**    
-   * @brief Processing function for the floating-point FIR lattice filter.    
-   * @param[in]  *S        points to an instance of the floating-point FIR lattice structure.    
-   * @param[in]  *pSrc     points to the block of input data.    
-   * @param[out] *pDst     points to the block of output data    
-   * @param[in]  blockSize number of samples to process.    
-   * @return none.    
-   */
-
-void arm_fir_lattice_f32(
-  const arm_fir_lattice_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pState;                             /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *px;                                 /* temporary state pointer */
-  float32_t *pk;                                 /* temporary coefficient pointer */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t fcurr1, fnext1, gcurr1, gnext1;      /* temporary variables for first sample in loop unrolling */
-  float32_t fcurr2, fnext2, gnext2;              /* temporary variables for second sample in loop unrolling */
-  float32_t fcurr3, fnext3, gnext3;              /* temporary variables for third sample in loop unrolling */
-  float32_t fcurr4, fnext4, gnext4;              /* temporary variables for fourth sample in loop unrolling */
-  uint32_t numStages = S->numStages;             /* Number of stages in the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-
-  gcurr1 = 0.0f;
-  pState = &S->pState[0];
-
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-    /* Read two samples from input buffer */
-    /* f0(n) = x(n) */
-    fcurr1 = *pSrc++;
-    fcurr2 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Read g0(n-1) from state */
-    gcurr1 = *px;
-
-    /* Process first sample for first tap */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = fcurr1 + ((*pk) * gcurr1);
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (fcurr1 * (*pk)) + gcurr1;
-
-    /* Process second sample for first tap */
-    /* for sample 2 processing */
-    fnext2 = fcurr2 + ((*pk) * fcurr1);
-    gnext2 = (fcurr2 * (*pk)) + fcurr1;
-
-    /* Read next two samples from input buffer */
-    /* f0(n+2) = x(n+2) */
-    fcurr3 = *pSrc++;
-    fcurr4 = *pSrc++;
-
-    /* Copy only last input samples into the state buffer    
-       which will be used for next four samples processing */
-    *px++ = fcurr4;
-
-    /* Process third sample for first tap */
-    fnext3 = fcurr3 + ((*pk) * fcurr2);
-    gnext3 = (fcurr3 * (*pk)) + fcurr2;
-
-    /* Process fourth sample for first tap */
-    fnext4 = fcurr4 + ((*pk) * fcurr3);
-    gnext4 = (fcurr4 * (*pk++)) + fcurr3;
-
-    /* Update of f values for next coefficient set processing */
-    fcurr1 = fnext1;
-    fcurr2 = fnext2;
-    fcurr3 = fnext3;
-    fcurr4 = fnext4;
-
-    /* Loop unrolling.  Process 4 taps at a time . */
-    stageCnt = (numStages - 1u) >> 2u;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.    
-     ** Repeat until we've computed numStages-3 coefficients. */
-
-    /* Process 2nd, 3rd, 4th and 5th taps ... here */
-    while(stageCnt > 0u)
-    {
-      /* Read g1(n-1), g3(n-1) .... from state */
-      gcurr1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext4;
-
-      /* Process first sample for 2nd, 6th .. tap */
-      /* Sample processing for K2, K6.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext1 = fcurr1 + ((*pk) * gcurr1);
-      /* Process second sample for 2nd, 6th .. tap */
-      /* for sample 2 processing */
-      fnext2 = fcurr2 + ((*pk) * gnext1);
-      /* Process third sample for 2nd, 6th .. tap */
-      fnext3 = fcurr3 + ((*pk) * gnext2);
-      /* Process fourth sample for 2nd, 6th .. tap */
-      fnext4 = fcurr4 + ((*pk) * gnext3);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      /* Calculation of state values for next stage */
-      gnext4 = (fcurr4 * (*pk)) + gnext3;
-      gnext3 = (fcurr3 * (*pk)) + gnext2;
-      gnext2 = (fcurr2 * (*pk)) + gnext1;
-      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
-
-
-      /* Read g2(n-1), g4(n-1) .... from state */
-      gcurr1 = *px;
-
-      /* save g2(n) in state buffer */
-      *px++ = gnext4;
-
-      /* Sample processing for K3, K7.... */
-      /* Process first sample for 3rd, 7th .. tap */
-      /* f3(n) = f2(n) +  K3 * g2(n-1) */
-      fcurr1 = fnext1 + ((*pk) * gcurr1);
-      /* Process second sample for 3rd, 7th .. tap */
-      fcurr2 = fnext2 + ((*pk) * gnext1);
-      /* Process third sample for 3rd, 7th .. tap */
-      fcurr3 = fnext3 + ((*pk) * gnext2);
-      /* Process fourth sample for 3rd, 7th .. tap */
-      fcurr4 = fnext4 + ((*pk) * gnext3);
-
-      /* Calculation of state values for next stage */
-      /* g3(n) = f2(n) * K3  +  g2(n-1) */
-      gnext4 = (fnext4 * (*pk)) + gnext3;
-      gnext3 = (fnext3 * (*pk)) + gnext2;
-      gnext2 = (fnext2 * (*pk)) + gnext1;
-      gnext1 = (fnext1 * (*pk++)) + gcurr1;
-
-
-      /* Read g1(n-1), g3(n-1) .... from state */
-      gcurr1 = *px;
-
-      /* save g3(n) in state buffer */
-      *px++ = gnext4;
-
-      /* Sample processing for K4, K8.... */
-      /* Process first sample for 4th, 8th .. tap */
-      /* f4(n) = f3(n) +  K4 * g3(n-1) */
-      fnext1 = fcurr1 + ((*pk) * gcurr1);
-      /* Process second sample for 4th, 8th .. tap */
-      /* for sample 2 processing */
-      fnext2 = fcurr2 + ((*pk) * gnext1);
-      /* Process third sample for 4th, 8th .. tap */
-      fnext3 = fcurr3 + ((*pk) * gnext2);
-      /* Process fourth sample for 4th, 8th .. tap */
-      fnext4 = fcurr4 + ((*pk) * gnext3);
-
-      /* g4(n) = f3(n) * K4  +  g3(n-1) */
-      /* Calculation of state values for next stage */
-      gnext4 = (fcurr4 * (*pk)) + gnext3;
-      gnext3 = (fcurr3 * (*pk)) + gnext2;
-      gnext2 = (fcurr2 * (*pk)) + gnext1;
-      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
-
-      /* Read g2(n-1), g4(n-1) .... from state */
-      gcurr1 = *px;
-
-      /* save g4(n) in state buffer */
-      *px++ = gnext4;
-
-      /* Sample processing for K5, K9.... */
-      /* Process first sample for 5th, 9th .. tap */
-      /* f5(n) = f4(n) +  K5 * g4(n-1) */
-      fcurr1 = fnext1 + ((*pk) * gcurr1);
-      /* Process second sample for 5th, 9th .. tap */
-      fcurr2 = fnext2 + ((*pk) * gnext1);
-      /* Process third sample for 5th, 9th .. tap */
-      fcurr3 = fnext3 + ((*pk) * gnext2);
-      /* Process fourth sample for 5th, 9th .. tap */
-      fcurr4 = fnext4 + ((*pk) * gnext3);
-
-      /* Calculation of state values for next stage */
-      /* g5(n) = f4(n) * K5  +  g4(n-1) */
-      gnext4 = (fnext4 * (*pk)) + gnext3;
-      gnext3 = (fnext3 * (*pk)) + gnext2;
-      gnext2 = (fnext2 * (*pk)) + gnext1;
-      gnext1 = (fnext1 * (*pk++)) + gcurr1;
-
-      stageCnt--;
-    }
-
-    /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
-    stageCnt = (numStages - 1u) % 0x4u;
-
-    while(stageCnt > 0u)
-    {
-      gcurr1 = *px;
-
-      /* save g value in state buffer */
-      *px++ = gnext4;
-
-      /* Process four samples for last three taps here */
-      fnext1 = fcurr1 + ((*pk) * gcurr1);
-      fnext2 = fcurr2 + ((*pk) * gnext1);
-      fnext3 = fcurr3 + ((*pk) * gnext2);
-      fnext4 = fcurr4 + ((*pk) * gnext3);
-
-      /* g1(n) = f0(n) * K1  +  g0(n-1) */
-      gnext4 = (fcurr4 * (*pk)) + gnext3;
-      gnext3 = (fcurr3 * (*pk)) + gnext2;
-      gnext2 = (fcurr2 * (*pk)) + gnext1;
-      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
-
-      /* Update of f values for next coefficient set processing */
-      fcurr1 = fnext1;
-      fcurr2 = fnext2;
-      fcurr3 = fnext3;
-      fcurr4 = fnext4;
-
-      stageCnt--;
-
-    }
-
-    /* The results in the 4 accumulators, store in the destination buffer. */
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr1;
-    *pDst++ = fcurr2;
-    *pDst++ = fcurr3;
-    *pDst++ = fcurr4;
-
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurr1 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g2(n) from state buffer */
-    gcurr1 = *px;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = fcurr1 + ((*pk) * gcurr1);
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (fcurr1 * (*pk++)) + gcurr1;
-
-    /* save g1(n) in state buffer */
-    *px++ = fcurr1;
-
-    /* f1(n) is saved in fcurr1    
-       for next stage processing */
-    fcurr1 = fnext1;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* read g2(n) from state buffer */
-      gcurr1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext1;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext1 = fcurr1 + ((*pk) * gcurr1);
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
-
-      /* f1(n) is saved in fcurr1    
-         for next stage processing */
-      fcurr1 = fnext1;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr1;
-
-    blkCnt--;
-
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t fcurr, fnext, gcurr, gnext;          /* temporary variables */
-  uint32_t numStages = S->numStages;             /* Length of the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-
-  pState = &S->pState[0];
-
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = pCoeffs;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g0(n-1) from state buffer */
-    gcurr = *px;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext = fcurr + ((*pk) * gcurr);
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext = (fcurr * (*pk++)) + gcurr;
-
-    /* save f0(n) in state buffer */
-    *px++ = fcurr;
-
-    /* f1(n) is saved in fcurr            
-       for next stage processing */
-    fcurr = fnext;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* read g2(n) from state buffer */
-      gcurr = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext = fcurr + ((*pk) * gcurr);
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext = (fcurr * (*pk++)) + gcurr;
-
-      /* f1(n) is saved in fcurr1            
-         for next stage processing */
-      fcurr = fnext;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr;
-
-    blkCnt--;
-
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
deleted file mode 100644
index c6aa00d9..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
+++ /dev/null
@@ -1,83 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_lattice_init_f32.c    
-*    
-* Description:  Floating-point FIR Lattice filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-/**    
- * @brief Initialization function for the floating-point FIR lattice filter.    
- * @param[in] *S points to an instance of the floating-point FIR lattice structure.    
- * @param[in] numStages  number of filter stages.    
- * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.    
- * @param[in] *pState points to the state buffer.  The array is of length numStages.    
- * @return none.    
- */
-
-void arm_fir_lattice_init_f32(
-  arm_fir_lattice_instance_f32 * S,
-  uint16_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always numStages */
-  memset(pState, 0, (numStages) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
deleted file mode 100644
index 34f33336..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
+++ /dev/null
@@ -1,83 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_lattice_init_q15.c    
-*    
-* Description:  Q15 FIR Lattice filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for the Q15 FIR lattice filter.    
-   * @param[in] *S points to an instance of the Q15 FIR lattice structure.    
-   * @param[in] numStages  number of filter stages.    
-   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.     
-   * @param[in] *pState points to the state buffer.  The array is of length numStages.     
-   * @return none.    
-   */
-
-void arm_fir_lattice_init_q15(
-  arm_fir_lattice_instance_q15 * S,
-  uint16_t numStages,
-  q15_t * pCoeffs,
-  q15_t * pState)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always numStages */
-  memset(pState, 0, (numStages) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
deleted file mode 100644
index 786152f9..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
+++ /dev/null
@@ -1,83 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_lattice_init_q31.c    
-*    
-* Description:  Q31 FIR lattice filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for the Q31 FIR lattice filter.    
-   * @param[in] *S points to an instance of the Q31 FIR lattice structure.    
-   * @param[in] numStages  number of filter stages.    
-   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.    
-   * @param[in] *pState points to the state buffer.   The array is of length numStages.    
-   * @return none.    
-   */
-
-void arm_fir_lattice_init_q31(
-  arm_fir_lattice_instance_q31 * S,
-  uint16_t numStages,
-  q31_t * pCoeffs,
-  q31_t * pState)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always numStages */
-  memset(pState, 0, (numStages) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q15.c
deleted file mode 100644
index 044a500d..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q15.c
+++ /dev/null
@@ -1,536 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_lattice_q15.c    
-*    
-* Description:	Q15 FIR lattice filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-
-/**    
- * @brief Processing function for the Q15 FIR lattice filter.    
- * @param[in]  *S        points to an instance of the Q15 FIR lattice structure.    
- * @param[in]  *pSrc     points to the block of input data.    
- * @param[out] *pDst     points to the block of output data    
- * @param[in]  blockSize number of samples to process.    
- * @return none.    
- */
-
-void arm_fir_lattice_q15(
-  const arm_fir_lattice_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState;                                 /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *px;                                     /* temporary state pointer */
-  q15_t *pk;                                     /* temporary coefficient pointer */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t fcurnt1, fnext1, gcurnt1 = 0, gnext1;    /* temporary variables for first sample in loop unrolling */
-  q31_t fcurnt2, fnext2, gnext2;                 /* temporary variables for second sample in loop unrolling */
-  q31_t fcurnt3, fnext3, gnext3;                 /* temporary variables for third sample in loop unrolling */
-  q31_t fcurnt4, fnext4, gnext4;                 /* temporary variables for fourth sample in loop unrolling */
-  uint32_t numStages = S->numStages;             /* Number of stages in the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-
-  pState = &S->pState[0];
-
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-    /* Read two samples from input buffer */
-    /* f0(n) = x(n) */
-    fcurnt1 = *pSrc++;
-    fcurnt2 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Read g0(n-1) from state */
-    gcurnt1 = *px;
-
-    /* Process first sample for first tap */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-    fnext1 = __SSAT(fnext1, 16);
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (q31_t) ((fcurnt1 * (*pk)) >> 15u) + gcurnt1;
-    gnext1 = __SSAT(gnext1, 16);
-
-    /* Process second sample for first tap */
-    /* for sample 2 processing */
-    fnext2 = (q31_t) ((fcurnt1 * (*pk)) >> 15u) + fcurnt2;
-    fnext2 = __SSAT(fnext2, 16);
-
-    gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + fcurnt1;
-    gnext2 = __SSAT(gnext2, 16);
-
-
-    /* Read next two samples from input buffer */
-    /* f0(n+2) = x(n+2) */
-    fcurnt3 = *pSrc++;
-    fcurnt4 = *pSrc++;
-
-    /* Copy only last input samples into the state buffer    
-       which is used for next four samples processing */
-    *px++ = (q15_t) fcurnt4;
-
-    /* Process third sample for first tap */
-    fnext3 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + fcurnt3;
-    fnext3 = __SSAT(fnext3, 16);
-    gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + fcurnt2;
-    gnext3 = __SSAT(gnext3, 16);
-
-    /* Process fourth sample for first tap */
-    fnext4 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + fcurnt4;
-    fnext4 = __SSAT(fnext4, 16);
-    gnext4 = (q31_t) ((fcurnt4 * (*pk++)) >> 15u) + fcurnt3;
-    gnext4 = __SSAT(gnext4, 16);
-
-    /* Update of f values for next coefficient set processing */
-    fcurnt1 = fnext1;
-    fcurnt2 = fnext2;
-    fcurnt3 = fnext3;
-    fcurnt4 = fnext4;
-
-
-    /* Loop unrolling.  Process 4 taps at a time . */
-    stageCnt = (numStages - 1u) >> 2;
-
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.    
-     ** Repeat until we've computed numStages-3 coefficients. */
-
-    /* Process 2nd, 3rd, 4th and 5th taps ... here */
-    while(stageCnt > 0u)
-    {
-      /* Read g1(n-1), g3(n-1) .... from state */
-      gcurnt1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = (q15_t) gnext4;
-
-      /* Process first sample for 2nd, 6th .. tap */
-      /* Sample processing for K2, K6.... */
-      /* f1(n) = f0(n) +  K1 * g0(n-1) */
-      fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-      fnext1 = __SSAT(fnext1, 16);
-
-
-      /* Process second sample for 2nd, 6th .. tap */
-      /* for sample 2 processing */
-      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2;
-      fnext2 = __SSAT(fnext2, 16);
-      /* Process third sample for 2nd, 6th .. tap */
-      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3;
-      fnext3 = __SSAT(fnext3, 16);
-      /* Process fourth sample for 2nd, 6th .. tap */
-      /* fnext4 = fcurnt4 + (*pk) * gnext3; */
-      fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4;
-      fnext4 = __SSAT(fnext4, 16);
-
-      /* g1(n) = f0(n) * K1  +  g0(n-1) */
-      /* Calculation of state values for next stage */
-      gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3;
-      gnext4 = __SSAT(gnext4, 16);
-      gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2;
-      gnext3 = __SSAT(gnext3, 16);
-
-      gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1;
-      gnext2 = __SSAT(gnext2, 16);
-
-      gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-
-      /* Read g2(n-1), g4(n-1) .... from state */
-      gcurnt1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = (q15_t) gnext4;
-
-      /* Sample processing for K3, K7.... */
-      /* Process first sample for 3rd, 7th .. tap */
-      /* f3(n) = f2(n) +  K3 * g2(n-1) */
-      fcurnt1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fnext1;
-      fcurnt1 = __SSAT(fcurnt1, 16);
-
-      /* Process second sample for 3rd, 7th .. tap */
-      fcurnt2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fnext2;
-      fcurnt2 = __SSAT(fcurnt2, 16);
-
-      /* Process third sample for 3rd, 7th .. tap */
-      fcurnt3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fnext3;
-      fcurnt3 = __SSAT(fcurnt3, 16);
-
-      /* Process fourth sample for 3rd, 7th .. tap */
-      fcurnt4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fnext4;
-      fcurnt4 = __SSAT(fcurnt4, 16);
-
-      /* Calculation of state values for next stage */
-      /* g3(n) = f2(n) * K3  +  g2(n-1) */
-      gnext4 = (q31_t) ((fnext4 * (*pk)) >> 15u) + gnext3;
-      gnext4 = __SSAT(gnext4, 16);
-
-      gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15u) + gnext2;
-      gnext3 = __SSAT(gnext3, 16);
-
-      gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15u) + gnext1;
-      gnext2 = __SSAT(gnext2, 16);
-
-      gnext1 = (q31_t) ((fnext1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-      /* Read g1(n-1), g3(n-1) .... from state */
-      gcurnt1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = (q15_t) gnext4;
-
-      /* Sample processing for K4, K8.... */
-      /* Process first sample for 4th, 8th .. tap */
-      /* f4(n) = f3(n) +  K4 * g3(n-1) */
-      fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-      fnext1 = __SSAT(fnext1, 16);
-
-      /* Process second sample for 4th, 8th .. tap */
-      /* for sample 2 processing */
-      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2;
-      fnext2 = __SSAT(fnext2, 16);
-
-      /* Process third sample for 4th, 8th .. tap */
-      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3;
-      fnext3 = __SSAT(fnext3, 16);
-
-      /* Process fourth sample for 4th, 8th .. tap */
-      fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4;
-      fnext4 = __SSAT(fnext4, 16);
-
-      /* g4(n) = f3(n) * K4  +  g3(n-1) */
-      /* Calculation of state values for next stage */
-      gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3;
-      gnext4 = __SSAT(gnext4, 16);
-
-      gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2;
-      gnext3 = __SSAT(gnext3, 16);
-
-      gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1;
-      gnext2 = __SSAT(gnext2, 16);
-      gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-
-      /* Read g2(n-1), g4(n-1) .... from state */
-      gcurnt1 = *px;
-
-      /* save g4(n) in state buffer */
-      *px++ = (q15_t) gnext4;
-
-      /* Sample processing for K5, K9.... */
-      /* Process first sample for 5th, 9th .. tap */
-      /* f5(n) = f4(n) +  K5 * g4(n-1) */
-      fcurnt1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fnext1;
-      fcurnt1 = __SSAT(fcurnt1, 16);
-
-      /* Process second sample for 5th, 9th .. tap */
-      fcurnt2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fnext2;
-      fcurnt2 = __SSAT(fcurnt2, 16);
-
-      /* Process third sample for 5th, 9th .. tap */
-      fcurnt3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fnext3;
-      fcurnt3 = __SSAT(fcurnt3, 16);
-
-      /* Process fourth sample for 5th, 9th .. tap */
-      fcurnt4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fnext4;
-      fcurnt4 = __SSAT(fcurnt4, 16);
-
-      /* Calculation of state values for next stage */
-      /* g5(n) = f4(n) * K5  +  g4(n-1) */
-      gnext4 = (q31_t) ((fnext4 * (*pk)) >> 15u) + gnext3;
-      gnext4 = __SSAT(gnext4, 16);
-      gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15u) + gnext2;
-      gnext3 = __SSAT(gnext3, 16);
-      gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15u) + gnext1;
-      gnext2 = __SSAT(gnext2, 16);
-      gnext1 = (q31_t) ((fnext1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-      stageCnt--;
-    }
-
-    /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
-    stageCnt = (numStages - 1u) % 0x4u;
-
-    while(stageCnt > 0u)
-    {
-      gcurnt1 = *px;
-
-      /* save g value in state buffer */
-      *px++ = (q15_t) gnext4;
-
-      /* Process four samples for last three taps here */
-      fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-      fnext1 = __SSAT(fnext1, 16);
-      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2;
-      fnext2 = __SSAT(fnext2, 16);
-
-      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3;
-      fnext3 = __SSAT(fnext3, 16);
-
-      fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4;
-      fnext4 = __SSAT(fnext4, 16);
-
-      /* g1(n) = f0(n) * K1  +  g0(n-1) */
-      gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3;
-      gnext4 = __SSAT(gnext4, 16);
-      gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2;
-      gnext3 = __SSAT(gnext3, 16);
-      gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1;
-      gnext2 = __SSAT(gnext2, 16);
-      gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-      /* Update of f values for next coefficient set processing */
-      fcurnt1 = fnext1;
-      fcurnt2 = fnext2;
-      fcurnt3 = fnext3;
-      fcurnt4 = fnext4;
-
-      stageCnt--;
-
-    }
-
-    /* The results in the 4 accumulators, store in the destination buffer. */
-    /* y(n) = fN(n) */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst)++ = __PKHBT(fcurnt1, fcurnt2, 16);
-    *__SIMD32(pDst)++ = __PKHBT(fcurnt3, fcurnt4, 16);
-
-#else
-
-    *__SIMD32(pDst)++ = __PKHBT(fcurnt2, fcurnt1, 16);
-    *__SIMD32(pDst)++ = __PKHBT(fcurnt4, fcurnt3, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurnt1 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g2(n) from state buffer */
-    gcurnt1 = *px;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = (((q31_t) gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-    fnext1 = __SSAT(fnext1, 16);
-
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (((q31_t) fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
-    gnext1 = __SSAT(gnext1, 16);
-
-    /* save g1(n) in state buffer */
-    *px++ = (q15_t) fcurnt1;
-
-    /* f1(n) is saved in fcurnt1    
-       for next stage processing */
-    fcurnt1 = fnext1;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* read g2(n) from state buffer */
-      gcurnt1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = (q15_t) gnext1;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext1 = (((q31_t) gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-      fnext1 = __SSAT(fnext1, 16);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext1 = (((q31_t) fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-
-      /* f1(n) is saved in fcurnt1    
-         for next stage processing */
-      fcurnt1 = fnext1;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = __SSAT(fcurnt1, 16);
-
-
-    blkCnt--;
-
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t fcurnt, fnext, gcurnt, gnext;            /* temporary variables */
-  uint32_t numStages = S->numStages;             /* Length of the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-
-  pState = &S->pState[0];
-
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurnt = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g0(n-1) from state buffer */
-    gcurnt = *px;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext = ((gcurnt * (*pk)) >> 15u) + fcurnt;
-    fnext = __SSAT(fnext, 16);
-
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext = ((fcurnt * (*pk++)) >> 15u) + gcurnt;
-    gnext = __SSAT(gnext, 16);
-
-    /* save f0(n) in state buffer */
-    *px++ = (q15_t) fcurnt;
-
-    /* f1(n) is saved in fcurnt            
-       for next stage processing */
-    fcurnt = fnext;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* read g1(n-1) from state buffer */
-      gcurnt = *px;
-
-      /* save g0(n-1) in state buffer */
-      *px++ = (q15_t) gnext;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext = ((gcurnt * (*pk)) >> 15u) + fcurnt;
-      fnext = __SSAT(fnext, 16);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext = ((fcurnt * (*pk++)) >> 15u) + gcurnt;
-      gnext = __SSAT(gnext, 16);
-
-
-      /* f1(n) is saved in fcurnt            
-         for next stage processing */
-      fcurnt = fnext;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = __SSAT(fcurnt, 16);
-
-
-    blkCnt--;
-
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q31.c
deleted file mode 100644
index 4a64538b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q31.c
+++ /dev/null
@@ -1,353 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_lattice_q31.c    
-*    
-* Description:	Q31 FIR lattice filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-
-/**    
- * @brief Processing function for the Q31 FIR lattice filter.    
- * @param[in]  *S        points to an instance of the Q31 FIR lattice structure.    
- * @param[in]  *pSrc     points to the block of input data.    
- * @param[out] *pDst     points to the block of output data    
- * @param[in]  blockSize number of samples to process.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * In order to avoid overflows the input signal must be scaled down by 2*log2(numStages) bits.    
- */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_fir_lattice_q31(
-  const arm_fir_lattice_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState;                                 /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *px;                                     /* temporary state pointer */
-  q31_t *pk;                                     /* temporary coefficient pointer */
-  q31_t fcurr1, fnext1, gcurr1 = 0, gnext1;      /* temporary variables for first sample in loop unrolling */
-  q31_t fcurr2, fnext2, gnext2;                  /* temporary variables for second sample in loop unrolling */
-  uint32_t numStages = S->numStages;             /* Length of the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-  q31_t k;
-
-  pState = &S->pState[0];
-
-  blkCnt = blockSize >> 1u;
-
-  /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.        
-     a second loop below computes the remaining 1 sample. */
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurr1 = *pSrc++;
-
-    /* f0(n) = x(n) */
-    fcurr2 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g0(n - 1) from state buffer */
-    gcurr1 = *px;
-
-    /* Read the reflection coefficient */
-    k = *pk++;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
-    fnext1 = fcurr1 + (fnext1 << 1u);
-    gnext1 = gcurr1 + (gnext1 << 1u);
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext2 = (q31_t) (((q63_t) fcurr1 * k) >> 32);
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext2 = (q31_t) (((q63_t) fcurr2 * (k)) >> 32);
-    fnext2 = fcurr2 + (fnext2 << 1u);
-    gnext2 = fcurr1 + (gnext2 << 1u);
-
-    /* save g1(n) in state buffer */
-    *px++ = fcurr2;
-
-    /* f1(n) is saved in fcurr1        
-       for next stage processing */
-    fcurr1 = fnext1;
-    fcurr2 = fnext2;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-
-      /* Read the reflection coefficient */
-      k = *pk++;
-
-      /* read g2(n) from state buffer */
-      gcurr1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext2;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
-      fnext2 = (q31_t) (((q63_t) gnext1 * k) >> 32);
-
-      fnext1 = fcurr1 + (fnext1 << 1u);
-      fnext2 = fcurr2 + (fnext2 << 1u);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext2 = (q31_t) (((q63_t) fcurr2 * (k)) >> 32);
-      gnext2 = gnext1 + (gnext2 << 1u);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
-      gnext1 = gcurr1 + (gnext1 << 1u);
-
-      /* f1(n) is saved in fcurr1        
-         for next stage processing */
-      fcurr1 = fnext1;
-      fcurr2 = fnext2;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr1;
-    *pDst++ = fcurr2;
-
-    blkCnt--;
-
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x2u;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurr1 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g0(n - 1) from state buffer */
-    gcurr1 = *px;
-
-    /* Read the reflection coefficient */
-    k = *pk++;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
-    fnext1 = fcurr1 + (fnext1 << 1u);
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
-    gnext1 = gcurr1 + (gnext1 << 1u);
-
-    /* save g1(n) in state buffer */
-    *px++ = fcurr1;
-
-    /* f1(n) is saved in fcurr1        
-       for next stage processing */
-    fcurr1 = fnext1;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* Read the reflection coefficient */
-      k = *pk++;
-
-      /* read g2(n) from state buffer */
-      gcurr1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext1;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
-      fnext1 = fcurr1 + (fnext1 << 1u);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
-      gnext1 = gcurr1 + (gnext1 << 1u);
-
-      /* f1(n) is saved in fcurr1        
-         for next stage processing */
-      fcurr1 = fnext1;
-
-      stageCnt--;
-
-    }
-
-
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr1;
-
-    blkCnt--;
-
-  }
-
-
-}
-
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-void arm_fir_lattice_q31(
-  const arm_fir_lattice_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState;                                 /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *px;                                     /* temporary state pointer */
-  q31_t *pk;                                     /* temporary coefficient pointer */
-  q31_t fcurr, fnext, gcurr, gnext;              /* temporary variables */
-  uint32_t numStages = S->numStages;             /* Length of the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-
-  pState = &S->pState[0];
-
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g0(n-1) from state buffer */
-    gcurr = *px;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr;
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr;
-    /* save g1(n) in state buffer */
-    *px++ = fcurr;
-
-    /* f1(n) is saved in fcurr1            
-       for next stage processing */
-    fcurr = fnext;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* read g2(n) from state buffer */
-      gcurr = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr;
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr;
-
-      /* f1(n) is saved in fcurr1            
-         for next stage processing */
-      fcurr = fnext;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr;
-
-    blkCnt--;
-
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q15.c
deleted file mode 100644
index b0d3d09b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q15.c
+++ /dev/null
@@ -1,691 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_q15.c    
-*    
-* Description:  Q15 FIR filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**       
- * @ingroup groupFilters       
- */
-
-/**       
- * @addtogroup FIR       
- * @{       
- */
-
-/**       
- * @brief Processing function for the Q15 FIR filter.       
- * @param[in] *S points to an instance of the Q15 FIR structure.       
- * @param[in] *pSrc points to the block of input data.       
- * @param[out] *pDst points to the block of output data.       
- * @param[in]  blockSize number of samples to process per call.       
- * @return none.       
- *   
- *   
- * \par Restrictions   
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE   
- *	In this case input, output, state buffers should be aligned by 32-bit   
- *   
- * Scaling and Overflow Behavior:       
- * \par       
- * The function is implemented using a 64-bit internal accumulator.       
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.       
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.       
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.       
- * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.       
- * Lastly, the accumulator is saturated to yield a result in 1.15 format.       
- *       
- * \par       
- * Refer to the function arm_fir_fast_q15() for a faster but less precise implementation of this function.       
- */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-/* Run the below code for Cortex-M4 and Cortex-M3 */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-
-void arm_fir_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px1;                                    /* Temporary q15 pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold SIMD state and coefficient values */
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.       
-   * The variables acc0 ... acc3 hold output values that are being computed:       
-   *       
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]       
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]       
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]       
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]       
-   */
-
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer.       
-     ** Use 32-bit SIMD to move the 16-bit data.  Only requires two copies. */
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pSrc)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pSrc)++;
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Initialize state pointer of type q15 */
-    px1 = pState;
-
-    /* Initialize coeff pointer of type q31 */
-    pb = pCoeffs;
-
-    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
-    x0 = _SIMD32_OFFSET(px1);
-
-    /* Read the third and forth samples from the state buffer: x[n-N-1], x[n-N-2] */
-    x1 = _SIMD32_OFFSET(px1 + 1u);
-
-    px1 += 2u;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
-      acc0 = __SMLALD(x0, c0, acc0);
-
-      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
-      acc1 = __SMLALD(x1, c0, acc1);
-
-      /* Read state x[n-N-2], x[n-N-3] */
-      x2 = _SIMD32_OFFSET(px1);
-
-      /* Read state x[n-N-3], x[n-N-4] */
-      x3 = _SIMD32_OFFSET(px1 + 1u);
-
-      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
-      acc2 = __SMLALD(x2, c0, acc2);
-
-      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
-      acc3 = __SMLALD(x3, c0, acc3);
-
-      /* Read coefficients b[N-2], b[N-3] */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
-      acc0 = __SMLALD(x2, c0, acc0);
-
-      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
-      acc1 = __SMLALD(x3, c0, acc1);
-
-      /* Read state x[n-N-4], x[n-N-5] */
-      x0 = _SIMD32_OFFSET(px1 + 2u);
-
-      /* Read state x[n-N-5], x[n-N-6] */
-      x1 = _SIMD32_OFFSET(px1 + 3u);
-
-      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
-      acc2 = __SMLALD(x0, c0, acc2);
-
-      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
-      acc3 = __SMLALD(x1, c0, acc3);
-
-      px1 += 4u;
-
-      tapCnt--;
-
-    }
-
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps.       
-     ** This is always be 2 taps since the filter length is even. */
-    if((numTaps & 0x3u) != 0u)
-    {
-      /* Read 2 coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Fetch 4 state variables */
-      x2 = _SIMD32_OFFSET(px1);
-
-      x3 = _SIMD32_OFFSET(px1 + 1u);
-
-      /* Perform the multiply-accumulates */
-      acc0 = __SMLALD(x0, c0, acc0);
-
-      px1 += 2u;
-
-      acc1 = __SMLALD(x1, c0, acc1);
-      acc2 = __SMLALD(x2, c0, acc2);
-      acc3 = __SMLALD(x3, c0, acc3);
-    }
-
-    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the 4 outputs in the destination buffer. */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
-
-
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.       
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-  while(blkCnt > 0u)
-  {
-    /* Copy two samples into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Initialize state pointer of type q15 */
-    px1 = pState;
-
-    /* Initialize coeff pointer of type q31 */
-    pb = pCoeffs;
-
-    tapCnt = numTaps >> 1;
-
-    do
-    {
-
-      c0 = *__SIMD32(pb)++;
-      x0 = *__SIMD32(px1)++;
-
-      acc0 = __SMLALD(x0, c0, acc0);
-      tapCnt--;
-    }
-    while(tapCnt > 0u);
-
-    /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculation of count for copying integer writes */
-  tapCnt = (numTaps - 1u) >> 2;
-
-  while(tapCnt > 0u)
-  {
-
-    /* Copy state values to start of state buffer */
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-    tapCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* copy remaining data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-}
-
-#else /* UNALIGNED_SUPPORT_DISABLE */
-
-void arm_fir_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q15_t *px;                                     /* Temporary q31 pointer for SIMD state buffer accesses */
-  q31_t x0, x1, x2, c0;                          /* Temporary variables to hold SIMD state and coefficient values */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.      
-   * The variables acc0 ... acc3 hold output values that are being computed:      
-   *      
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]      
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]      
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]      
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]      
-   */
-
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.      
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer.      
-     ** Use 32-bit SIMD to move the 16-bit data.  Only requires two copies. */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
-    px = pState;
-
-    /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
-    pb = pCoeffs;
-
-    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
-    x0 = *__SIMD32(px)++;
-
-    /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
-    x2 = *__SIMD32(px)++;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.      
-     ** Repeat until we've computed numTaps-(numTaps%4) coefficients. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0)
-    {
-      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
-      acc0 = __SMLALD(x0, c0, acc0);
-
-      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
-      acc2 = __SMLALD(x2, c0, acc2);
-
-      /* pack  x[n-N-1] and x[n-N-2] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* Read state x[n-N-4], x[n-N-5] */
-      x0 = _SIMD32_OFFSET(px);
-
-      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
-      acc1 = __SMLALDX(x1, c0, acc1);
-
-      /* pack  x[n-N-3] and x[n-N-4] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x0, x2, 0);
-#else
-      x1 = __PKHBT(x2, x0, 0);
-#endif
-
-      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
-      acc3 = __SMLALDX(x1, c0, acc3);
-
-      /* Read coefficients b[N-2], b[N-3] */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
-      acc0 = __SMLALD(x2, c0, acc0);
-
-      /* Read state x[n-N-6], x[n-N-7] with offset */
-      x2 = _SIMD32_OFFSET(px + 2u);
-
-      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
-      acc2 = __SMLALD(x0, c0, acc2);
-
-      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
-      acc1 = __SMLALDX(x1, c0, acc1);
-
-      /* pack  x[n-N-5] and x[n-N-6] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
-      acc3 = __SMLALDX(x1, c0, acc3);
-
-      /* Update state pointer for next state reading */
-      px += 4u;
-
-      /* Decrement tap count */
-      tapCnt--;
-
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps.       
-     ** This is always be 2 taps since the filter length is even. */
-    if((numTaps & 0x3u) != 0u)
-    {
-
-      /* Read last two coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Perform the multiply-accumulates */
-      acc0 = __SMLALD(x0, c0, acc0);
-      acc2 = __SMLALD(x2, c0, acc2);
-
-      /* pack state variables */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* Read last state variables */
-      x0 = *__SIMD32(px);
-
-      /* Perform the multiply-accumulates */
-      acc1 = __SMLALDX(x1, c0, acc1);
-
-      /* pack state variables */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x0, x2, 0);
-#else
-      x1 = __PKHBT(x2, x0, 0);
-#endif
-
-      /* Perform the multiply-accumulates */
-      acc3 = __SMLALDX(x1, c0, acc3);
-    }
-
-    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the 4 outputs in the destination buffer. */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.      
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-  while(blkCnt > 0u)
-  {
-    /* Copy two samples into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Use SIMD to hold states and coefficients */
-    px = pState;
-    pb = pCoeffs;
-
-    tapCnt = numTaps >> 1u;
-
-    do
-    {
-      acc0 += (q31_t) * px++ * *pb++;
-	  acc0 += (q31_t) * px++ * *pb++;
-      tapCnt--;
-    }
-    while(tapCnt > 0u);
-
-    /* The result is in 2.30 format.  Convert to 1.15 with saturation.      
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.      
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.      
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculation of count for copying integer writes */
-  tapCnt = (numTaps - 1u) >> 2;
-
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    tapCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* copy remaining data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-}
-
-
-#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */
-
-#else /* ARM_MATH_CM0_FAMILY */
-
-
-/* Run the below code for Cortex-M0 */
-
-void arm_fir_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-
-
-
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q63_t acc;                                     /* Accumulator */
-  uint32_t numTaps = S->numTaps;                 /* Number of nTaps in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Initialize blkCnt with blockSize */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = pCoeffs;
-
-    tapCnt = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
-      acc += (q31_t) * px++ * *pb++;
-      tapCnt--;
-    } while(tapCnt > 0u);
-
-    /* The result is in 2.30 format.  Convert to 1.15         
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q15_t) __SSAT((acc >> 15u), 16);
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Copy numTaps number of values */
-  tapCnt = (numTaps - 1u);
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-
-
-
-/**       
- * @} end of FIR group       
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q31.c
deleted file mode 100644
index 35360595..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q31.c
+++ /dev/null
@@ -1,365 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_q31.c    
-*    
-* Description:	Q31 FIR filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @param[in] *S points to an instance of the Q31 FIR filter structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in] blockSize number of samples to process per call.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.    
- * After all multiply-accumulates are performed, the 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.  
- *    
- * \par    
- * Refer to the function arm_fir_fast_q31() for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_fir_q31(
-  const arm_fir_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t x0, x1, x2;                              /* Temporary variables to hold state */
-  q31_t c0;                                      /* Temporary variable to hold coefficient value */
-  q31_t *px;                                     /* Temporary pointer for state */
-  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q63_t acc0, acc1, acc2;                        /* Accumulators */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t i, tapCnt, blkCnt, tapCntN3;          /* Loop counters */
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.    
-   * The variables acc0 ... acc3 hold output values that are being computed:    
-   *    
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]    
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]    
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]    
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]    
-   */
-  blkCnt = blockSize / 3;
-  blockSize = blockSize - (3 * blkCnt);
-
-  tapCnt = numTaps / 3;
-  tapCntN3 = numTaps - (3 * tapCnt);
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy three new input samples into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Read the first two samples from the state buffer:    
-     *  x[n-numTaps], x[n-numTaps-1] */
-    x0 = *(px++);
-    x1 = *(px++);
-
-    /* Loop unrolling.  Process 3 taps at a time. */
-    i = tapCnt;
-
-    while(i > 0u)
-    {
-      /* Read the b[numTaps] coefficient */
-      c0 = *pb;
-
-      /* Read x[n-numTaps-2] sample */
-      x2 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q63_t) x0 * c0);
-      acc1 += ((q63_t) x1 * c0);
-      acc2 += ((q63_t) x2 * c0);
-
-      /* Read the coefficient and state */
-      c0 = *(pb + 1u);
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q63_t) x1 * c0);
-      acc1 += ((q63_t) x2 * c0);
-      acc2 += ((q63_t) x0 * c0);
-
-      /* Read the coefficient and state */
-      c0 = *(pb + 2u);
-      x1 = *(px++);
-
-      /* update coefficient pointer */
-      pb += 3u;
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q63_t) x2 * c0);
-      acc1 += ((q63_t) x0 * c0);
-      acc2 += ((q63_t) x1 * c0);
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* If the filter length is not a multiple of 3, compute the remaining filter taps */
-
-    i = tapCntN3;
-
-    while(i > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x2 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q63_t) x0 * c0);
-      acc1 += ((q63_t) x1 * c0);
-      acc2 += ((q63_t) x2 * c0);
-
-      /* Reuse the present sample states for next sample */
-      x0 = x1;
-      x1 = x2;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 3 to process the next group of 3 samples */
-    pState = pState + 3;
-
-    /* The results in the 3 accumulators are in 2.30 format.  Convert to 1.31    
-     ** Then store the 3 outputs in the destination buffer. */
-    *pDst++ = (q31_t) (acc0 >> 31u);
-    *pDst++ = (q31_t) (acc1 >> 31u);
-    *pDst++ = (q31_t) (acc2 >> 31u);
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 3, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-
-  while(blockSize > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = (pCoeffs);
-
-    i = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      acc0 += (q63_t) * (px++) * (*(pb++));
-      i--;
-    } while(i > 0u);
-
-    /* The result is in 2.62 format.  Convert to 1.31    
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q31_t) (acc0 >> 31u);
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the samples loop counter */
-    blockSize--;
-  }
-
-  /* Processing is complete.    
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  q31_t *px;                                     /* Temporary pointer for state */
-  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q63_t acc;                                     /* Accumulator */
-  uint32_t numTaps = S->numTaps;                 /* Length of the filter */
-  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Initialize blkCnt with blockSize */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = pCoeffs;
-
-    i = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
-      acc += (q63_t) * px++ * *pb++;
-      i--;
-    } while(i > 0u);
-
-    /* The result is in 2.62 format.  Convert to 1.31         
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q31_t) (acc >> 31u);
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Copy numTaps number of values */
-  tapCnt = numTaps - 1u;
-
-  /* Copy the data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-
-#endif /*  #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q7.c
deleted file mode 100644
index 24a50dcd..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q7.c
+++ /dev/null
@@ -1,397 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_q7.c    
-*    
-* Description:  Q7 FIR filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @param[in]   *S points to an instance of the Q7 FIR filter structure.    
- * @param[in]   *pSrc points to the block of input data.    
- * @param[out]  *pDst points to the block of output data.    
- * @param[in]   blockSize number of samples to process per call.    
- * @return 	none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.    
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * The accumulator is converted to 18.7 format by discarding the low 7 bits.    
- * Finally, the result is truncated to 1.7 format.    
- */
-
-void arm_fir_q7(
-  const arm_fir_instance_q7 * S,
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t *pState = S->pState;                      /* State pointer */
-  q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
-  q7_t *pStateCurnt;                             /* Points to the current sample of the state */
-  q7_t x0, x1, x2, x3;                           /* Temporary variables to hold state */
-  q7_t c0;                                       /* Temporary variable to hold coefficient value */
-  q7_t *px;                                      /* Temporary pointer for state */
-  q7_t *pb;                                      /* Temporary pointer for coefficient buffer */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.    
-   * The variables acc0 ... acc3 hold output values that are being computed:    
-   *    
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]    
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]    
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]    
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]    
-   */
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Read the first three samples from the state buffer:    
-     *  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
-    x0 = *(px++);
-    x1 = *(px++);
-    x2 = *(px++);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-    i = tapCnt;
-
-    while(i > 0u)
-    {
-      /* Read the b[numTaps] coefficient */
-      c0 = *pb;
-
-      /* Read x[n-numTaps-3] sample */
-      x3 = *px;
-      
-      /* acc0 +=  b[numTaps] * x[n-numTaps] */
-      acc0 += ((q15_t) x0 * c0);
-
-      /* acc1 +=  b[numTaps] * x[n-numTaps-1] */
-      acc1 += ((q15_t) x1 * c0);
-
-      /* acc2 +=  b[numTaps] * x[n-numTaps-2] */
-      acc2 += ((q15_t) x2 * c0);
-
-      /* acc3 +=  b[numTaps] * x[n-numTaps-3] */
-      acc3 += ((q15_t) x3 * c0);
-
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb + 1u);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px + 1u);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q15_t) x1 * c0);
-      acc1 += ((q15_t) x2 * c0);
-      acc2 += ((q15_t) x3 * c0);
-      acc3 += ((q15_t) x0 * c0);
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb + 2u);
-
-      /* Read x[n-numTaps-5] sample */
-      x1 = *(px + 2u);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q15_t) x2 * c0);
-      acc1 += ((q15_t) x3 * c0);
-      acc2 += ((q15_t) x0 * c0);
-      acc3 += ((q15_t) x1 * c0);
-
-      /* Read the b[numTaps-3] coefficients */
-      c0 = *(pb + 3u);
-
-      /* Read x[n-numTaps-6] sample */
-      x2 = *(px + 3u);
-      
-      /* Perform the multiply-accumulates */
-      acc0 += ((q15_t) x3 * c0);
-      acc1 += ((q15_t) x0 * c0);
-      acc2 += ((q15_t) x1 * c0);
-      acc3 += ((q15_t) x2 * c0);
-
-      /* update coefficient pointer */
-      pb += 4u;
-      px += 4u;
-      
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-
-    i = numTaps - (tapCnt * 4u);
-    while(i > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x3 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q15_t) x0 * c0);
-      acc1 += ((q15_t) x1 * c0);
-      acc2 += ((q15_t) x2 * c0);
-      acc3 += ((q15_t) x3 * c0);
-
-      /* Reuse the present sample states for next sample */
-      x0 = x1;
-      x1 = x2;
-      x2 = x3;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 4;
-
-    /* The results in the 4 accumulators are in 2.62 format.  Convert to 1.31    
-     ** Then store the 4 outputs in the destination buffer. */
-    acc0 = __SSAT((acc0 >> 7u), 8);
-    *pDst++ = acc0;
-    acc1 = __SSAT((acc1 >> 7u), 8);
-    *pDst++ = acc1;
-    acc2 = __SSAT((acc2 >> 7u), 8);
-    *pDst++ = acc2;
-    acc3 = __SSAT((acc3 >> 7u), 8);
-    *pDst++ = acc3;
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = (pCoeffs);
-
-    i = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      acc0 += (q15_t) * (px++) * (*(pb++));
-      i--;
-    } while(i > 0u);
-
-    /* The result is in 2.14 format.  Convert to 1.7    
-     ** Then store the output in the destination buffer. */
-    *pDst++ = __SSAT((acc0 >> 7u), 8);
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.    
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
-  uint32_t i, blkCnt;                            /* Loop counters */
-  q7_t *pState = S->pState;                      /* State pointer */
-  q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
-  q7_t *px, *pb;                                 /* Temporary pointers to state and coeff */
-  q31_t acc = 0;                                 /* Accumlator */
-  q7_t *pStateCurnt;                             /* Points to the current sample of the state */
-
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Initialize blkCnt with blockSize */
-  blkCnt = blockSize;
-
-  /* Perform filtering upto BlockSize - BlockSize%4  */
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set accumulator to zero */
-    acc = 0;
-
-    /* Initialize state pointer of type q7 */
-    px = pState;
-
-    /* Initialize coeff pointer of type q7 */
-    pb = pCoeffs;
-
-
-    i = numTaps;
-
-    while(i > 0u)
-    {
-      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
-      acc += (q15_t) * px++ * *pb++;
-      i--;
-    }
-
-    /* Store the 1.7 format filter output in destination buffer */
-    *pDst++ = (q7_t) __SSAT((acc >> 7), 8);
-
-    /* Advance the state pointer by 1 to process the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-
-  /* Copy numTaps number of values */
-  i = (numTaps - 1u);
-
-  /* Copy q7_t data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    i--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_f32.c
deleted file mode 100644
index 9ef8edf9..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_f32.c
+++ /dev/null
@@ -1,444 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_sparse_f32.c    
-*    
-* Description:	Floating-point sparse FIR filter processing function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup FIR_Sparse Finite Impulse Response (FIR) Sparse Filters    
- *    
- * This group of functions implements sparse FIR filters.     
- * Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero.   
- * Sparse filters are used for simulating reflections in communications and audio applications.   
- *   
- * There are separate functions for Q7, Q15, Q31, and floating-point data types.    
- * The functions operate on blocks  of input and output data and each call to the function processes    
- * blockSize samples through the filter.  pSrc and    
- * pDst points to input and output arrays respectively containing blockSize values.    
- *    
- * \par Algorithm:    
- * The sparse filter instant structure contains an array of tap indices pTapDelay which specifies the locations of the non-zero coefficients.   
- * This is in addition to the coefficient array b.   
- * The implementation essentially skips the multiplications by zero and leads to an efficient realization.   
- * 
   
- *     y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]]    
- * 
    
- * \par    
- * \image html FIRSparse.gif "Sparse FIR filter.  b[n] represents the filter coefficients"   
- * \par    
- * pCoeffs points to a coefficient array of size numTaps;    
- * pTapDelay points to an array of nonzero indices and is also of size numTaps;   
- * pState points to a state array of size maxDelay + blockSize, where   
- * maxDelay is the largest offset value that is ever used in the pTapDelay array.   
- * Some of the processing functions also require temporary working buffers.   
- *   
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient and offset arrays may be shared among several instances while state variable arrays cannot be shared.    
- * There are separate instance structure declarations for each of the 4 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * To do this manually without calling the init function, assign the follow subfields of the instance structure:
- * numTaps, pCoeffs, pTapDelay, maxDelay, stateIndex, pState. Also set all of the values in pState to zero. 
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros before static initialization.    
- * The code below statically initializes each of the 4 different data type filter instance structures    
- * 
    
- *arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
- *arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
- *arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
- *arm_fir_sparse_instance_q7 S =  {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
- * 
    
- * \par    
- *    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the sparse FIR filter functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief Processing function for the floating-point sparse FIR filter.   
- * @param[in]  *S          points to an instance of the floating-point sparse FIR structure.   
- * @param[in]  *pSrc       points to the block of input data.   
- * @param[out] *pDst       points to the block of output data   
- * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.   
- * @param[in]  blockSize   number of input samples to process per call.   
- * @return none.   
- */
-
-void arm_fir_sparse_f32(
-  arm_fir_sparse_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  float32_t * pScratchIn,
-  uint32_t blockSize)
-{
-
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *px;                                 /* Scratch buffer pointer */
-  float32_t *py = pState;                        /* Temporary pointers for state buffer */
-  float32_t *pb = pScratchIn;                    /* Temporary pointers for scratch buffer */
-  float32_t *pOut;                               /* Destination pointer */
-  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
-  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
-  uint16_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter  */
-  int32_t readIndex;                             /* Read index of the state buffer */
-  uint32_t tapCnt, blkCnt;                       /* loop counters */
-  float32_t coeff = *pCoeffs++;                  /* Read the first coefficient value */
-
-
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
-                        (int32_t *) pSrc, 1, blockSize);
-
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                       (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                       blockSize);
-
-  /* Working pointer for the scratch buffer */
-  px = pb;
-
-  /* Working pointer for destination buffer */
-  pOut = pDst;
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Loop over the blockSize. Unroll by a factor of 4.    
-   * Compute 4 Multiplications at a time. */
-  blkCnt = blockSize >> 2u;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in destination buffer */
-    *pOut++ = *px++ * coeff;
-    *pOut++ = *px++ * coeff;
-    *pOut++ = *px++ * coeff;
-    *pOut++ = *px++ * coeff;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-   * compute the remaining samples */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in destination buffer */
-    *pOut++ = *px++ * coeff;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and    
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 2u;
-
-  while(tapCnt > 0u)
-  {
-
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                         blockSize);
-
-    /* Working pointer for the scratch buffer */
-    px = pb;
-
-    /* Working pointer for destination buffer */
-    pOut = pDst;
-
-    /* Loop over the blockSize. Unroll by a factor of 4.    
-     * Compute 4 MACS at a time. */
-    blkCnt = blockSize >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pOut++ += *px++ * coeff;
-      *pOut++ += *px++ * coeff;
-      *pOut++ += *px++ * coeff;
-      *pOut++ += *px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4,    
-     * compute the remaining samples */
-    blkCnt = blockSize % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pOut++ += *px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and    
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = ((int32_t) S->stateIndex -
-                 (int32_t) blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-	
-	/* Compute last tap without the final read of pTapDelay */
-
-	/* Working pointer for state buffer is updated */
-	py = pState;
-
-	/* blockSize samples are read from the state buffer */
-	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-											 blockSize);
-
-	/* Working pointer for the scratch buffer */
-	px = pb;
-
-	/* Working pointer for destination buffer */
-	pOut = pDst;
-
-	/* Loop over the blockSize. Unroll by a factor of 4.    
-	 * Compute 4 MACS at a time. */
-	blkCnt = blockSize >> 2u;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		*pOut++ += *px++ * coeff;
-		*pOut++ += *px++ * coeff;
-		*pOut++ += *px++ * coeff;
-		*pOut++ += *px++ * coeff;
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-	/* If the blockSize is not a multiple of 4,    
-	 * compute the remaining samples */
-	blkCnt = blockSize % 0x4u;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		*pOut++ += *px++ * coeff;
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in destination buffer */
-    *pOut++ = *px++ * coeff;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and           
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 2u;
-
-  while(tapCnt > 0u)
-  {
-
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                         blockSize);
-
-    /* Working pointer for the scratch buffer */
-    px = pb;
-
-    /* Working pointer for destination buffer */
-    pOut = pDst;
-
-    blkCnt = blockSize;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pOut++ += *px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and           
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex =
-      ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-	
-	/* Compute last tap without the final read of pTapDelay */	
-	
-	/* Working pointer for state buffer is updated */
-	py = pState;
-
-	/* blockSize samples are read from the state buffer */
-	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-											 blockSize);
-
-	/* Working pointer for the scratch buffer */
-	px = pb;
-
-	/* Working pointer for destination buffer */
-	pOut = pDst;
-
-	blkCnt = blockSize;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		*pOut++ += *px++ * coeff;
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY        */
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
deleted file mode 100644
index a0fa81cc..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
+++ /dev/null
@@ -1,107 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_sparse_init_f32.c    
-*    
-* Description:	Floating-point sparse FIR filter initialization function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the floating-point sparse FIR filter.   
- * @param[in,out] *S         points to an instance of the floating-point sparse FIR structure.   
- * @param[in]     numTaps    number of nonzero coefficients in the filter.   
- * @param[in]     *pCoeffs   points to the array of filter coefficients.   
- * @param[in]     *pState    points to the state buffer.   
- * @param[in]     *pTapDelay points to the array of offset times.   
- * @param[in]     maxDelay   maximum offset time supported.   
- * @param[in]     blockSize  number of samples that will be processed per block.   
- * @return none   
- *    
- * Description:    
- * \par    
- * pCoeffs holds the filter coefficients and has length numTaps.    
- * pState holds the filter's state variables and must be of length    
- * maxDelay + blockSize, where maxDelay    
- * is the maximum number of delay line values.    
- * blockSize is the    
- * number of samples processed by the arm_fir_sparse_f32() function.    
- */
-
-void arm_fir_sparse_init_f32(
-  arm_fir_sparse_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Assign TapDelay pointer */
-  S->pTapDelay = pTapDelay;
-
-  /* Assign MaxDelay */
-  S->maxDelay = maxDelay;
-
-  /* reset the stateIndex to 0 */
-  S->stateIndex = 0u;
-
-  /* Clear state buffer and size is always maxDelay + blockSize */
-  memset(pState, 0, (maxDelay + blockSize) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
deleted file mode 100644
index 41bbd7e5..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
+++ /dev/null
@@ -1,107 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_sparse_init_q15.c    
-*    
-* Description:	Q15 sparse FIR filter initialization function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the Q15 sparse FIR filter.   
- * @param[in,out] *S         points to an instance of the Q15 sparse FIR structure.   
- * @param[in]     numTaps    number of nonzero coefficients in the filter.   
- * @param[in]     *pCoeffs   points to the array of filter coefficients.   
- * @param[in]     *pState    points to the state buffer.   
- * @param[in]     *pTapDelay points to the array of offset times.   
- * @param[in]     maxDelay   maximum offset time supported.   
- * @param[in]     blockSize  number of samples that will be processed per block.   
- * @return none   
- *    
- * Description:    
- * \par    
- * pCoeffs holds the filter coefficients and has length numTaps.    
- * pState holds the filter's state variables and must be of length    
- * maxDelay + blockSize, where maxDelay    
- * is the maximum number of delay line values.    
- * blockSize is the    
- * number of words processed by arm_fir_sparse_q15() function.    
- */
-
-void arm_fir_sparse_init_q15(
-  arm_fir_sparse_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Assign TapDelay pointer */
-  S->pTapDelay = pTapDelay;
-
-  /* Assign MaxDelay */
-  S->maxDelay = maxDelay;
-
-  /* reset the stateIndex to 0 */
-  S->stateIndex = 0u;
-
-  /* Clear state buffer and size is always maxDelay + blockSize */
-  memset(pState, 0, (maxDelay + blockSize) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
deleted file mode 100644
index 82505504..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
+++ /dev/null
@@ -1,106 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_sparse_init_q31.c    
-*    
-* Description:	Q31 sparse FIR filter initialization function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the Q31 sparse FIR filter.   
- * @param[in,out] *S         points to an instance of the Q31 sparse FIR structure.   
- * @param[in]     numTaps    number of nonzero coefficients in the filter.   
- * @param[in]     *pCoeffs   points to the array of filter coefficients.   
- * @param[in]     *pState    points to the state buffer.   
- * @param[in]     *pTapDelay points to the array of offset times.   
- * @param[in]     maxDelay   maximum offset time supported.   
- * @param[in]     blockSize  number of samples that will be processed per block.   
- * @return none   
- *    
- * Description:    
- * \par    
- * pCoeffs holds the filter coefficients and has length numTaps.    
- * pState holds the filter's state variables and must be of length    
- * maxDelay + blockSize, where maxDelay    
- * is the maximum number of delay line values.    
- * blockSize is the number of words processed by arm_fir_sparse_q31() function.    
- */
-
-void arm_fir_sparse_init_q31(
-  arm_fir_sparse_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Assign TapDelay pointer */
-  S->pTapDelay = pTapDelay;
-
-  /* Assign MaxDelay */
-  S->maxDelay = maxDelay;
-
-  /* reset the stateIndex to 0 */
-  S->stateIndex = 0u;
-
-  /* Clear state buffer and size is always maxDelay + blockSize */
-  memset(pState, 0, (maxDelay + blockSize) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
deleted file mode 100644
index 6c495a49..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
+++ /dev/null
@@ -1,107 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_sparse_init_q7.c    
-*    
-* Description:	Q7 sparse FIR filter initialization function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE. 
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the Q7 sparse FIR filter.   
- * @param[in,out] *S         points to an instance of the Q7 sparse FIR structure.   
- * @param[in]     numTaps    number of nonzero coefficients in the filter.   
- * @param[in]     *pCoeffs   points to the array of filter coefficients.   
- * @param[in]     *pState    points to the state buffer.   
- * @param[in]     *pTapDelay points to the array of offset times.   
- * @param[in]     maxDelay   maximum offset time supported.   
- * @param[in]     blockSize  number of samples that will be processed per block.   
- * @return none   
- *    
- * Description:    
- * \par    
- * pCoeffs holds the filter coefficients and has length numTaps.    
- * pState holds the filter's state variables and must be of length    
- * maxDelay + blockSize, where maxDelay    
- * is the maximum number of delay line values.    
- * blockSize is the    
- * number of samples processed by the arm_fir_sparse_q7() function.    
- */
-
-void arm_fir_sparse_init_q7(
-  arm_fir_sparse_instance_q7 * S,
-  uint16_t numTaps,
-  q7_t * pCoeffs,
-  q7_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Assign TapDelay pointer */
-  S->pTapDelay = pTapDelay;
-
-  /* Assign MaxDelay */
-  S->maxDelay = maxDelay;
-
-  /* reset the stateIndex to 0 */
-  S->stateIndex = 0u;
-
-  /* Clear state buffer and size is always maxDelay + blockSize */
-  memset(pState, 0, (maxDelay + blockSize) * sizeof(q7_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q15.c
deleted file mode 100644
index 23666853..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q15.c
+++ /dev/null
@@ -1,481 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_sparse_q15.c    
-*    
-* Description:	Q15 sparse FIR filter processing function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief Processing function for the Q15 sparse FIR filter.   
- * @param[in]  *S           points to an instance of the Q15 sparse FIR structure.   
- * @param[in]  *pSrc        points to the block of input data.   
- * @param[out] *pDst        points to the block of output data   
- * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.   
- * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.   
- * @param[in]  blockSize    number of input samples to process per call.   
- * @return none.   
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 32-bit accumulator.   
- * The 1.15 x 1.15 multiplications yield a 2.30 result and these are added to a 2.30 accumulator.   
- * Thus the full precision of the multiplications is maintained but there is only a single guard bit in the accumulator.   
- * If the accumulator result overflows it will wrap around rather than saturate.   
- * After all multiply-accumulates are performed, the 2.30 accumulator is truncated to 2.15 format and then saturated to 1.15 format.    
- * In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.   
- */
-
-
-void arm_fir_sparse_q15(
-  arm_fir_sparse_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  q15_t * pScratchIn,
-  q31_t * pScratchOut,
-  uint32_t blockSize)
-{
-
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pIn = pSrc;                             /* Working pointer for input */
-  q15_t *pOut = pDst;                            /* Working pointer for output */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *px;                                     /* Temporary pointers for scratch buffer */
-  q15_t *pb = pScratchIn;                        /* Temporary pointers for scratch buffer */
-  q15_t *py = pState;                            /* Temporary pointers for state buffer */
-  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
-  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
-  uint16_t numTaps = S->numTaps;                 /* Filter order */
-  int32_t readIndex;                             /* Read index of the state buffer */
-  uint32_t tapCnt, blkCnt;                       /* loop counters */
-  q15_t coeff = *pCoeffs++;                      /* Read the first coefficient value */
-  q31_t *pScr2 = pScratchOut;                    /* Working pointer for pScratchOut */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in1, in2;                                /* Temporary variables */
-
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize);
-
-  /* Loop over the number of taps. */
-  tapCnt = numTaps;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_q15(py, delaySize, &readIndex, 1,
-                       pb, pb, blockSize, 1, blockSize);
-
-  /* Working pointer for the scratch buffer of state values */
-  px = pb;
-
-  /* Working pointer for scratch buffer of output values */
-  pScratchOut = pScr2;
-
-  /* Loop over the blockSize. Unroll by a factor of 4.    
-   * Compute 4 multiplications at a time. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-   * compute the remaining samples */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and    
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 2u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_q15(py, delaySize, &readIndex, 1,
-                         pb, pb, blockSize, 1, blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pScratchOut = pScr2;
-
-    /* Loop over the blockSize. Unroll by a factor of 4.    
-     * Compute 4 MACS at a time. */
-    blkCnt = blockSize >> 2;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4,    
-     * compute the remaining samples */
-    blkCnt = blockSize % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and    
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-	
-	/* Compute last tap without the final read of pTapDelay */		
-
-	/* Working pointer for state buffer is updated */
-	py = pState;
-
-	/* blockSize samples are read from the state buffer */
-	arm_circularRead_q15(py, delaySize, &readIndex, 1,
-											 pb, pb, blockSize, 1, blockSize);
-
-	/* Working pointer for the scratch buffer of state values */
-	px = pb;
-
-	/* Working pointer for scratch buffer of output values */
-	pScratchOut = pScr2;
-
-	/* Loop over the blockSize. Unroll by a factor of 4.    
-	 * Compute 4 MACS at a time. */
-	blkCnt = blockSize >> 2;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		*pScratchOut++ += (q31_t) * px++ * coeff;
-		*pScratchOut++ += (q31_t) * px++ * coeff;
-		*pScratchOut++ += (q31_t) * px++ * coeff;
-		*pScratchOut++ += (q31_t) * px++ * coeff;
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-	/* If the blockSize is not a multiple of 4,    
-	 * compute the remaining samples */
-	blkCnt = blockSize % 0x4u;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		*pScratchOut++ += (q31_t) * px++ * coeff;
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-  /* All the output values are in pScratchOut buffer.    
-     Convert them into 1.15 format, saturate and store in the destination buffer. */
-  /* Loop over the blockSize. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    in1 = *pScr2++;
-    in2 = *pScr2++;
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pOut)++ =
-      __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16),
-              16);
-
-#else
-    *__SIMD32(pOut)++ =
-      __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16),
-              16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-    in1 = *pScr2++;
-
-    in2 = *pScr2++;
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pOut)++ =
-      __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16),
-              16);
-
-#else
-
-    *__SIMD32(pOut)++ =
-      __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16),
-              16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-
-    blkCnt--;
-
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-     remaining samples are processed in the below loop */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16);
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize);
-
-  /* Loop over the number of taps. */
-  tapCnt = numTaps;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_q15(py, delaySize, &readIndex, 1,
-                       pb, pb, blockSize, 1, blockSize);
-
-  /* Working pointer for the scratch buffer of state values */
-  px = pb;
-
-  /* Working pointer for scratch buffer of output values */
-  pScratchOut = pScr2;
-
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and           
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 2u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_q15(py, delaySize, &readIndex, 1,
-                         pb, pb, blockSize, 1, blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pScratchOut = pScr2;
-
-    blkCnt = blockSize;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and           
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-	
-	/* Compute last tap without the final read of pTapDelay */	
-	
-	/* Working pointer for state buffer is updated */
-	py = pState;
-
-	/* blockSize samples are read from the state buffer */
-	arm_circularRead_q15(py, delaySize, &readIndex, 1,
-											 pb, pb, blockSize, 1, blockSize);
-
-	/* Working pointer for the scratch buffer of state values */
-	px = pb;
-
-	/* Working pointer for scratch buffer of output values */
-	pScratchOut = pScr2;
-
-	blkCnt = blockSize;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		*pScratchOut++ += (q31_t) * px++ * coeff;
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-  /* All the output values are in pScratchOut buffer.       
-     Convert them into 1.15 format, saturate and store in the destination buffer. */
-  /* Loop over the blockSize. */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16);
-    blkCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q31.c
deleted file mode 100644
index 2183cd3a..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q31.c
+++ /dev/null
@@ -1,461 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_sparse_q31.c    
-*    
-* Description:	Q31 sparse FIR filter processing function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ------------------------------------------------------------------- */
-#include "arm_math.h"
-
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief Processing function for the Q31 sparse FIR filter.   
- * @param[in]  *S          points to an instance of the Q31 sparse FIR structure.   
- * @param[in]  *pSrc       points to the block of input data.   
- * @param[out] *pDst       points to the block of output data   
- * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.   
- * @param[in]  blockSize   number of input samples to process per call.   
- * @return none.   
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 32-bit accumulator.   
- * The 1.31 x 1.31 multiplications are truncated to 2.30 format.   
- * This leads to loss of precision on the intermediate multiplications and provides only a single guard bit.    
- * If the accumulator result overflows, it wraps around rather than saturate.   
- * In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.   
- */
-
-void arm_fir_sparse_q31(
-  arm_fir_sparse_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  q31_t * pScratchIn,
-  uint32_t blockSize)
-{
-
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *px;                                     /* Scratch buffer pointer */
-  q31_t *py = pState;                            /* Temporary pointers for state buffer */
-  q31_t *pb = pScratchIn;                        /* Temporary pointers for scratch buffer */
-  q31_t *pOut;                                   /* Destination pointer */
-  q63_t out;                                     /* Temporary output variable */
-  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
-  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
-  uint16_t numTaps = S->numTaps;                 /* Filter order */
-  int32_t readIndex;                             /* Read index of the state buffer */
-  uint32_t tapCnt, blkCnt;                       /* loop counters */
-  q31_t coeff = *pCoeffs++;                      /* Read the first coefficient value */
-  q31_t in;
-
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
-                        (int32_t *) pSrc, 1, blockSize);
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                       (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                       blockSize);
-
-  /* Working pointer for the scratch buffer of state values */
-  px = pb;
-
-  /* Working pointer for scratch buffer of output values */
-  pOut = pDst;
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Loop over the blockSize. Unroll by a factor of 4.    
-   * Compute 4 Multiplications at a time. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in the destination buffer */
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-   * compute the remaining samples */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in the destination buffer */
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and    
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 2u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                         blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pOut = pDst;
-
-    /* Loop over the blockSize. Unroll by a factor of 4.    
-     * Compute 4 MACS at a time. */
-    blkCnt = blockSize >> 2;
-
-    while(blkCnt > 0u)
-    {
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4,    
-     * compute the remaining samples */
-    blkCnt = blockSize % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and    
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-	
-	/* Compute last tap without the final read of pTapDelay */
-	
-	/* Working pointer for state buffer is updated */
-	py = pState;
-
-	/* blockSize samples are read from the state buffer */
-	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-											 blockSize);
-
-	/* Working pointer for the scratch buffer of state values */
-	px = pb;
-
-	/* Working pointer for scratch buffer of output values */
-	pOut = pDst;
-
-	/* Loop over the blockSize. Unroll by a factor of 4.    
-	 * Compute 4 MACS at a time. */
-	blkCnt = blockSize >> 2;
-
-	while(blkCnt > 0u)
-	{
-		out = *pOut;
-		out += ((q63_t) * px++ * coeff) >> 32;
-		*pOut++ = (q31_t) (out);
-
-		out = *pOut;
-		out += ((q63_t) * px++ * coeff) >> 32;
-		*pOut++ = (q31_t) (out);
-
-		out = *pOut;
-		out += ((q63_t) * px++ * coeff) >> 32;
-		*pOut++ = (q31_t) (out);
-
-		out = *pOut;
-		out += ((q63_t) * px++ * coeff) >> 32;
-		*pOut++ = (q31_t) (out);
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-	/* If the blockSize is not a multiple of 4,    
-	 * compute the remaining samples */
-	blkCnt = blockSize % 0x4u;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		out = *pOut;
-		out += ((q63_t) * px++ * coeff) >> 32;
-		*pOut++ = (q31_t) (out);
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}	
-
-  /* Working output pointer is updated */
-  pOut = pDst;
-
-  /* Output is converted into 1.31 format. */
-  /* Loop over the blockSize. Unroll by a factor of 4.    
-   * process 4 output samples at a time. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    in = *pOut << 1;
-    *pOut++ = in;
-    in = *pOut << 1;
-    *pOut++ = in;
-    in = *pOut << 1;
-    *pOut++ = in;
-    in = *pOut << 1;
-    *pOut++ = in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-   * process the remaining output samples */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    in = *pOut << 1;
-    *pOut++ = in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in the destination buffer */
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and           
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 2u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                         blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pOut = pDst;
-
-    blkCnt = blockSize;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and           
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-	
-	/* Compute last tap without the final read of pTapDelay */	
-	
-	/* Working pointer for state buffer is updated */
-	py = pState;
-
-	/* blockSize samples are read from the state buffer */
-	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-											 blockSize);
-
-	/* Working pointer for the scratch buffer of state values */
-	px = pb;
-
-	/* Working pointer for scratch buffer of output values */
-	pOut = pDst;
-
-	blkCnt = blockSize;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		out = *pOut;
-		out += ((q63_t) * px++ * coeff) >> 32;
-		*pOut++ = (q31_t) (out);
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-  /* Working output pointer is updated */
-  pOut = pDst;
-
-  /* Output is converted into 1.31 format. */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    in = *pOut << 1;
-    *pOut++ = in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q7.c
deleted file mode 100644
index 9f43580b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q7.c
+++ /dev/null
@@ -1,480 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_sparse_q7.c    
-*    
-* Description:	Q7 sparse FIR filter processing function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ------------------------------------------------------------------- */
-#include "arm_math.h"
-
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-
-/**   
- * @brief Processing function for the Q7 sparse FIR filter.   
- * @param[in]  *S           points to an instance of the Q7 sparse FIR structure.   
- * @param[in]  *pSrc        points to the block of input data.   
- * @param[out] *pDst        points to the block of output data   
- * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.   
- * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.   
- * @param[in]  blockSize    number of input samples to process per call.   
- * @return none.   
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.    
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * The accumulator is then converted to 18.7 format by discarding the low 7 bits.   
- * Finally, the result is truncated to 1.7 format.   
- */
-
-void arm_fir_sparse_q7(
-  arm_fir_sparse_instance_q7 * S,
-  q7_t * pSrc,
-  q7_t * pDst,
-  q7_t * pScratchIn,
-  q31_t * pScratchOut,
-  uint32_t blockSize)
-{
-
-  q7_t *pState = S->pState;                      /* State pointer */
-  q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
-  q7_t *px;                                      /* Scratch buffer pointer */
-  q7_t *py = pState;                             /* Temporary pointers for state buffer */
-  q7_t *pb = pScratchIn;                         /* Temporary pointers for scratch buffer */
-  q7_t *pOut = pDst;                             /* Destination pointer */
-  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
-  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
-  uint16_t numTaps = S->numTaps;                 /* Filter order */
-  int32_t readIndex;                             /* Read index of the state buffer */
-  uint32_t tapCnt, blkCnt;                       /* loop counters */
-  q7_t coeff = *pCoeffs++;                       /* Read the coefficient value */
-  q31_t *pScr2 = pScratchOut;                    /* Working pointer for scratch buffer of output values */
-  q31_t in;
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t in1, in2, in3, in4;
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1,
-                       blockSize);
-
-  /* Loop over the number of taps. */
-  tapCnt = numTaps;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
-                      (int32_t) blockSize, 1, blockSize);
-
-  /* Working pointer for the scratch buffer of state values */
-  px = pb;
-
-  /* Working pointer for scratch buffer of output values */
-  pScratchOut = pScr2;
-
-  /* Loop over the blockSize. Unroll by a factor of 4.    
-   * Compute 4 multiplications at a time. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-   * compute the remaining samples */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and    
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 2u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
-                        (int32_t) blockSize, 1, blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pScratchOut = pScr2;
-
-    /* Loop over the blockSize. Unroll by a factor of 4.    
-     * Compute 4 MACS at a time. */
-    blkCnt = blockSize >> 2;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4,    
-     * compute the remaining samples */
-    blkCnt = blockSize % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and    
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = ((int32_t) S->stateIndex -
-                 (int32_t) blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-	
-	/* Compute last tap without the final read of pTapDelay */	
-	
-	/* Working pointer for state buffer is updated */
-	py = pState;
-
-	/* blockSize samples are read from the state buffer */
-	arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
-											(int32_t) blockSize, 1, blockSize);
-
-	/* Working pointer for the scratch buffer of state values */
-	px = pb;
-
-	/* Working pointer for scratch buffer of output values */
-	pScratchOut = pScr2;
-
-	/* Loop over the blockSize. Unroll by a factor of 4.    
-	 * Compute 4 MACS at a time. */
-	blkCnt = blockSize >> 2;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		in = *pScratchOut + ((q31_t) * px++ * coeff);
-		*pScratchOut++ = in;
-		in = *pScratchOut + ((q31_t) * px++ * coeff);
-		*pScratchOut++ = in;
-		in = *pScratchOut + ((q31_t) * px++ * coeff);
-		*pScratchOut++ = in;
-		in = *pScratchOut + ((q31_t) * px++ * coeff);
-		*pScratchOut++ = in;
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-	/* If the blockSize is not a multiple of 4,    
-	 * compute the remaining samples */
-	blkCnt = blockSize % 0x4u;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		in = *pScratchOut + ((q31_t) * px++ * coeff);
-		*pScratchOut++ = in;
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-  /* All the output values are in pScratchOut buffer.    
-     Convert them into 1.15 format, saturate and store in the destination buffer. */
-  /* Loop over the blockSize. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    in1 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-    in2 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-    in3 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-    in4 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-
-    *__SIMD32(pOut)++ = __PACKq7(in1, in2, in3, in4);
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-     remaining samples are processed in the below loop */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1,
-                       blockSize);
-
-  /* Loop over the number of taps. */
-  tapCnt = numTaps;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
-                      (int32_t) blockSize, 1, blockSize);
-
-  /* Working pointer for the scratch buffer of state values */
-  px = pb;
-
-  /* Working pointer for scratch buffer of output values */
-  pScratchOut = pScr2;
-
-  /* Loop over the blockSize */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and           
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 2u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
-                        (int32_t) blockSize, 1, blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pScratchOut = pScr2;
-
-    /* Loop over the blockSize */
-    blkCnt = blockSize;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and           
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex =
-      ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-	
-	/* Compute last tap without the final read of pTapDelay */	
-	
-	/* Working pointer for state buffer is updated */
-	py = pState;
-
-	/* blockSize samples are read from the state buffer */
-	arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
-											(int32_t) blockSize, 1, blockSize);
-
-	/* Working pointer for the scratch buffer of state values */
-	px = pb;
-
-	/* Working pointer for scratch buffer of output values */
-	pScratchOut = pScr2;
-
-	/* Loop over the blockSize */
-	blkCnt = blockSize;
-
-	while(blkCnt > 0u)
-	{
-		/* Perform Multiply-Accumulate */
-		in = *pScratchOut + ((q31_t) * px++ * coeff);
-		*pScratchOut++ = in;
-
-		/* Decrement the loop counter */
-		blkCnt--;
-	}
-
-  /* All the output values are in pScratchOut buffer.       
-     Convert them into 1.15 format, saturate and store in the destination buffer. */
-  /* Loop over the blockSize. */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_f32.c
deleted file mode 100644
index f3056f4d..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_f32.c
+++ /dev/null
@@ -1,447 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_iir_lattice_f32.c    
-*    
-* Description:	Floating-point IIR Lattice filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup IIR_Lattice Infinite Impulse Response (IIR) Lattice Filters    
- *    
- * This set of functions implements lattice filters    
- * for Q15, Q31 and floating-point data types.  Lattice filters are used in a     
- * variety of adaptive filter applications.  The filter structure has feedforward and    
- * feedback components and the net impulse response is infinite length.    
- * The functions operate on blocks    
- * of input and output data and each call to the function processes    
- * blockSize samples through the filter.  pSrc and    
- * pDst point to input and output arrays containing blockSize values.    
-    
- * \par Algorithm:    
- * \image html IIRLattice.gif "Infinite Impulse Response Lattice filter"    
- * 
    
- *    fN(n)   =  x(n)    
- *    fm-1(n) = fm(n) - km * gm-1(n-1)   for m = N, N-1, ...1    
- *    gm(n)   = km * fm-1(n) + gm-1(n-1) for m = N, N-1, ...1    
- *    y(n)    = vN * gN(n) + vN-1 * gN-1(n) + ...+ v0 * g0(n)    
- * 
    
- * \par    
- * pkCoeffs points to array of reflection coefficients of size numStages.     
- * Reflection coefficients are stored in time-reversed order.    
- * \par    
- * 
    
- *    {kN, kN-1, ....k1}    
- * 
    
- * pvCoeffs points to the array of ladder coefficients of size (numStages+1).     
- * Ladder coefficients are stored in time-reversed order.    
- * \par    
- * 
    
- *    {vN, vN-1, ...v0}    
- * 
    
- * pState points to a state array of size numStages + blockSize.    
- * The state variables shown in the figure above (the g values) are stored in the pState array.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
-  *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.   
- * To do this manually without calling the init function, assign the follow subfields of the instance structure:
- * numStages, pkCoeffs, pvCoeffs, pState. Also set all of the values in pState to zero. 
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:    
- * 
    
- *arm_iir_lattice_instance_f32 S = {numStages, pState, pkCoeffs, pvCoeffs};    
- *arm_iir_lattice_instance_q31 S = {numStages, pState, pkCoeffs, pvCoeffs};    
- *arm_iir_lattice_instance_q15 S = {numStages, pState, pkCoeffs, pvCoeffs};    
- * 
    
- * \par    
- * where numStages is the number of stages in the filter; pState points to the state buffer array;    
- * pkCoeffs points to array of the reflection coefficients; pvCoeffs points to the array of ladder coefficients.    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the IIR lattice filter functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-/**    
- * @brief Processing function for the floating-point IIR lattice filter.    
- * @param[in] *S points to an instance of the floating-point IIR lattice structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in] blockSize number of samples to process.    
- * @return none.    
- */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_iir_lattice_f32(
-  const arm_iir_lattice_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t fnext1, gcurr1, gnext;               /* Temporary variables for lattice stages */
-  float32_t acc;                                 /* Accumlator */
-  uint32_t blkCnt, tapCnt;                       /* temporary variables for counts */
-  float32_t *px1, *px2, *pk, *pv;                /* temporary pointers for state and coef */
-  uint32_t numStages = S->numStages;             /* number of stages */
-  float32_t *pState;                             /* State pointer */
-  float32_t *pStateCurnt;                        /* State current pointer */
-  float32_t k1, k2;
-  float32_t v1, v2, v3, v4;
-  float32_t gcurr2;
-  float32_t fnext2;
-
-  /* initialise loop count */
-  blkCnt = blockSize;
-
-  /* initialise state pointer */
-  pState = &S->pState[0];
-
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fnext2 = *pSrc++;
-
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-
-    /* Set accumulator to zero */
-    acc = 0.0;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = (numStages) >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Read gN-1(n-1) from state buffer */
-      gcurr1 = *px1;
-
-      /* read reflection coefficient kN */
-      k1 = *pk;
-
-      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
-      fnext1 = fnext2 - (k1 * gcurr1);
-
-      /* read ladder coefficient vN */
-      v1 = *pv;
-
-      /* read next reflection coefficient kN-1 */
-      k2 = *(pk + 1u);
-
-      /* Read gN-2(n-1) from state buffer */
-      gcurr2 = *(px1 + 1u);
-
-      /* read next ladder coefficient vN-1 */
-      v2 = *(pv + 1u);
-
-      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
-      fnext2 = fnext1 - (k2 * gcurr2);
-
-      /* gN(n)   = kN * fN-1(n) + gN-1(n-1) */
-      gnext = gcurr1 + (k1 * fnext1);
-
-      /* read reflection coefficient kN-2 */
-      k1 = *(pk + 2u);
-
-      /* write gN(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      /* Read gN-3(n-1) from state buffer */
-      gcurr1 = *(px1 + 2u);
-
-      /* y(n) += gN(n) * vN  */
-      acc += (gnext * v1);
-
-      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
-      fnext1 = fnext2 - (k1 * gcurr1);
-
-      /* gN-1(n)   = kN-1 * fN-2(n) + gN-2(n-1) */
-      gnext = gcurr2 + (k2 * fnext2);
-
-      /* Read gN-4(n-1) from state buffer */
-      gcurr2 = *(px1 + 3u);
-
-      /* y(n) += gN-1(n) * vN-1  */
-      acc += (gnext * v2);
-
-      /* read reflection coefficient kN-3 */
-      k2 = *(pk + 3u);
-
-      /* write gN-1(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
-      fnext2 = fnext1 - (k2 * gcurr2);
-
-      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
-      gnext = gcurr1 + (k1 * fnext1);
-
-      /* read ladder coefficient vN-2 */
-      v3 = *(pv + 2u);
-
-      /* y(n) += gN-2(n) * vN-2  */
-      acc += (gnext * v3);
-
-      /* write gN-2(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      /* update pointer */
-      pk += 4u;
-
-      /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
-      gnext = (fnext2 * k2) + gcurr2;
-
-      /* read next ladder coefficient vN-3 */
-      v4 = *(pv + 3u);
-
-      /* y(n) += gN-4(n) * vN-4  */
-      acc += (gnext * v4);
-
-      /* write gN-3(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      /* update pointers */
-      px1 += 4u;
-      pv += 4u;
-
-      tapCnt--;
-
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = (numStages) % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      gcurr1 = *px1++;
-      /* Process sample for last taps */
-      fnext1 = fnext2 - ((*pk) * gcurr1);
-      gnext = (fnext1 * (*pk++)) + gcurr1;
-      /* Output samples for last taps */
-      acc += (gnext * (*pv++));
-      *px2++ = gnext;
-      fnext2 = fnext1;
-
-      tapCnt--;
-
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (fnext2 * (*pv));
-
-    *px2++ = fnext2;
-
-    /* write out into pDst */
-    *pDst++ = acc;
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 1u;
-
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer        
-     for the preperation of next frame process */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  tapCnt = numStages >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numStages) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-}
-
-#else
-
-void arm_iir_lattice_f32(
-  const arm_iir_lattice_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t fcurr, fnext = 0, gcurr, gnext;      /* Temporary variables for lattice stages */
-  float32_t acc;                                 /* Accumlator */
-  uint32_t blkCnt, tapCnt;                       /* temporary variables for counts */
-  float32_t *px1, *px2, *pk, *pv;                /* temporary pointers for state and coef */
-  uint32_t numStages = S->numStages;             /* number of stages */
-  float32_t *pState;                             /* State pointer */
-  float32_t *pStateCurnt;                        /* State current pointer */
-
-
-  /* Run the below code for Cortex-M0 */
-
-  blkCnt = blockSize;
-
-  pState = &S->pState[0];
-
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-    /* Set accumulator to zero */
-    acc = 0.0f;
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-
-    /* Process sample for numStages */
-    tapCnt = numStages;
-
-    while(tapCnt > 0u)
-    {
-      gcurr = *px1++;
-      /* Process sample for last taps */
-      fnext = fcurr - ((*pk) * gcurr);
-      gnext = (fnext * (*pk++)) + gcurr;
-
-      /* Output samples for last taps */
-      acc += (gnext * (*pv++));
-      *px2++ = gnext;
-      fcurr = fnext;
-
-      /* Decrementing loop counter */
-      tapCnt--;
-
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (fnext * (*pv));
-
-    *px2++ = fnext;
-
-    /* write out into pDst */
-    *pDst++ = acc;
-
-    /* Advance the state pointer by 1 to process the next group of samples */
-    pState = pState + 1u;
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
-     for the preperation of next frame process */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  tapCnt = numStages;
-
-  /* Copy the data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-
-/**    
- * @} end of IIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
deleted file mode 100644
index 89bfb686..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
+++ /dev/null
@@ -1,91 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_iir_lattice_init_f32.c    
-*    
-* Description:  Floating-point IIR lattice filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-/**    
- * @brief Initialization function for the floating-point IIR lattice filter.    
- * @param[in] *S points to an instance of the floating-point IIR lattice structure.    
- * @param[in] numStages number of stages in the filter.    
- * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.    
- * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.    
- * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize.    
- * @param[in] blockSize number of samples to process.    
- * @return none.    
- */
-
-void arm_iir_lattice_init_f32(
-  arm_iir_lattice_instance_f32 * S,
-  uint16_t numStages,
-  float32_t * pkCoeffs,
-  float32_t * pvCoeffs,
-  float32_t * pState,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign reflection coefficient pointer */
-  S->pkCoeffs = pkCoeffs;
-
-  /* Assign ladder coefficient pointer */
-  S->pvCoeffs = pvCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numStages */
-  memset(pState, 0, (numStages + blockSize) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-
-}
-
-  /**    
-   * @} end of IIR_Lattice group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
deleted file mode 100644
index bc5c0af8..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
+++ /dev/null
@@ -1,91 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_iir_lattice_init_q15.c    
-*    
-* Description:  Q15 IIR lattice filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for the Q15 IIR lattice filter.    
-   * @param[in] *S points to an instance of the Q15 IIR lattice structure.    
-   * @param[in] numStages  number of stages in the filter.    
-   * @param[in] *pkCoeffs points to reflection coefficient buffer.  The array is of length numStages.    
-   * @param[in] *pvCoeffs points to ladder coefficient buffer.  The array is of length numStages+1.    
-   * @param[in] *pState points to state buffer.  The array is of length numStages+blockSize.    
-   * @param[in] blockSize number of samples to process per call.    
-   * @return none.    
-   */
-
-void arm_iir_lattice_init_q15(
-  arm_iir_lattice_instance_q15 * S,
-  uint16_t numStages,
-  q15_t * pkCoeffs,
-  q15_t * pvCoeffs,
-  q15_t * pState,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign reflection coefficient pointer */
-  S->pkCoeffs = pkCoeffs;
-
-  /* Assign ladder coefficient pointer */
-  S->pvCoeffs = pvCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numStages */
-  memset(pState, 0, (numStages + blockSize) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-
-}
-
-/**    
- * @} end of IIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
deleted file mode 100644
index d8e26a37..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
+++ /dev/null
@@ -1,91 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_iir_lattice_init_q31.c    
-*    
-* Description:  Initialization function for the Q31 IIR lattice filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for the Q31 IIR lattice filter.    
-   * @param[in] *S points to an instance of the Q31 IIR lattice structure.    
-   * @param[in] numStages number of stages in the filter.    
-   * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.    
-   * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.    
-   * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize.    
-   * @param[in] blockSize number of samples to process.    
-   * @return none.    
-   */
-
-void arm_iir_lattice_init_q31(
-  arm_iir_lattice_instance_q31 * S,
-  uint16_t numStages,
-  q31_t * pkCoeffs,
-  q31_t * pvCoeffs,
-  q31_t * pState,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign reflection coefficient pointer */
-  S->pkCoeffs = pkCoeffs;
-
-  /* Assign ladder coefficient pointer */
-  S->pvCoeffs = pvCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numStages */
-  memset(pState, 0, (numStages + blockSize) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-
-}
-
-/**    
- * @} end of IIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q15.c
deleted file mode 100644
index 5bee62d3..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q15.c
+++ /dev/null
@@ -1,464 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_iir_lattice_q15.c    
-*    
-* Description:	Q15 IIR lattice filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 IIR lattice filter.    
- * @param[in] *S points to an instance of the Q15 IIR lattice structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in] blockSize number of samples to process.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
- * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
- */
-
-void arm_iir_lattice_q15(
-  const arm_iir_lattice_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t fcurr, fnext, gcurr = 0, gnext;          /* Temporary variables for lattice stages */
-  q15_t gnext1, gnext2;                          /* Temporary variables for lattice stages */
-  uint32_t stgCnt;                               /* Temporary variables for counts */
-  q63_t acc;                                     /* Accumlator */
-  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
-  q15_t *px1, *px2, *pk, *pv;                    /* temporary pointers for state and coef */
-  uint32_t numStages = S->numStages;             /* number of stages */
-  q15_t *pState;                                 /* State pointer */
-  q15_t *pStateCurnt;                            /* State current pointer */
-  q15_t out;                                     /* Temporary variable for output */
-  q31_t v;                                       /* Temporary variable for ladder coefficient */
-#ifdef UNALIGNED_SUPPORT_DISABLE
-	q15_t v1, v2;
-#endif
-
-
-  blkCnt = blockSize;
-
-  pState = &S->pState[0];
-
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-    /* Set accumulator to zero */
-    acc = 0;
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-
-    /* Process sample for first tap */
-    gcurr = *px1++;
-    /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
-    fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
-    fnext = __SSAT(fnext, 16);
-    /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
-    gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
-    gnext = __SSAT(gnext, 16);
-    /* write gN(n) into state for next sample processing */
-    *px2++ = (q15_t) gnext;
-    /* y(n) += gN(n) * vN  */
-    acc += (q31_t) ((gnext * (*pv++)));
-
-
-    /* Update f values for next coefficient processing */
-    fcurr = fnext;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = (numStages - 1u) >> 2;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Process sample for 2nd, 6th ...taps */
-      /* Read gN-2(n-1) from state buffer */
-      gcurr = *px1++;
-      /* Process sample for 2nd, 6th .. taps */
-      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
-      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
-      fnext = __SSAT(fnext, 16);
-      /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
-      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
-      gnext1 = (q15_t) __SSAT(gnext, 16);
-      /* write gN-1(n) into state */
-      *px2++ = (q15_t) gnext1;
-
-
-      /* Process sample for 3nd, 7th ...taps */
-      /* Read gN-3(n-1) from state */
-      gcurr = *px1++;
-      /* Process sample for 3rd, 7th .. taps */
-      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
-      fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
-      fcurr = __SSAT(fcurr, 16);
-      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
-      gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
-      gnext2 = (q15_t) __SSAT(gnext, 16);
-      /* write gN-2(n) into state */
-      *px2++ = (q15_t) gnext2;
-
-      /* Read vN-1 and vN-2 at a time */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      v = *__SIMD32(pv)++;
-
-#else
-
-	  v1 = *pv++;
-	  v2 = *pv++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  v = __PKHBT(v1, v2, 16);
-
-#else
-
-	  v = __PKHBT(v2, v1, 16);
-
-#endif	/* 	#ifndef ARM_MATH_BIG_ENDIAN		*/
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE */
-
-
-      /* Pack gN-1(n) and gN-2(n) */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      gnext = __PKHBT(gnext1, gnext2, 16);
-
-#else
-
-      gnext = __PKHBT(gnext2, gnext1, 16);
-
-#endif /*   #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* y(n) += gN-1(n) * vN-1  */
-      /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
-      /* y(n) += gN-2(n) * vN-2  */
-      /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
-      acc = __SMLALD(gnext, v, acc);
-
-
-      /* Process sample for 4th, 8th ...taps */
-      /* Read gN-4(n-1) from state */
-      gcurr = *px1++;
-      /* Process sample for 4th, 8th .. taps */
-      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
-      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
-      fnext = __SSAT(fnext, 16);
-      /* gN-3(n) = kN-3 * fN-1(n) + gN-1(n-1) */
-      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
-      gnext1 = (q15_t) __SSAT(gnext, 16);
-      /* write  gN-3(n) for the next sample process */
-      *px2++ = (q15_t) gnext1;
-
-
-      /* Process sample for 5th, 9th ...taps */
-      /* Read gN-5(n-1) from state */
-      gcurr = *px1++;
-      /* Process sample for 5th, 9th .. taps */
-      /* fN-5(n) = fN-4(n) - kN-4 * gN-5(n-1) */
-      fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
-      fcurr = __SSAT(fcurr, 16);
-      /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
-      gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
-      gnext2 = (q15_t) __SSAT(gnext, 16);
-      /* write      gN-4(n) for the next sample process */
-      *px2++ = (q15_t) gnext2;
-
-      /* Read vN-3 and vN-4 at a time */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      v = *__SIMD32(pv)++;
-
-#else
-
-	  v1 = *pv++;
-	  v2 = *pv++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  v = __PKHBT(v1, v2, 16);
-
-#else
-
-	  v = __PKHBT(v2, v1, 16);
-
-#endif	/* #ifndef ARM_MATH_BIG_ENDIAN	 */
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE */
-
-
-      /* Pack gN-3(n) and gN-4(n) */
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      gnext = __PKHBT(gnext1, gnext2, 16);
-
-#else
-
-      gnext = __PKHBT(gnext2, gnext1, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* y(n) += gN-4(n) * vN-4  */
-      /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
-      /* y(n) += gN-3(n) * vN-3  */
-      /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
-      acc = __SMLALD(gnext, v, acc);
-
-      tapCnt--;
-
-    }
-
-    fnext = fcurr;
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = (numStages - 1u) % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      gcurr = *px1++;
-      /* Process sample for last taps */
-      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
-      fnext = __SSAT(fnext, 16);
-      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
-      gnext = __SSAT(gnext, 16);
-      /* Output samples for last taps */
-      acc += (q31_t) (((q31_t) gnext * (*pv++)));
-      *px2++ = (q15_t) gnext;
-      fcurr = fnext;
-
-      tapCnt--;
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (q31_t) (((q31_t) fnext * (*pv++)));
-
-    out = (q15_t) __SSAT(acc >> 15, 16);
-    *px2++ = (q15_t) fnext;
-
-    /* write out into pDst */
-    *pDst++ = out;
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 1u;
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer    
-     for the preperation of next frame process */
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  stgCnt = (numStages >> 2u);
-
-  /* copy data */
-  while(stgCnt > 0u)
-  {
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-#else
-
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-#endif /*	#ifndef UNALIGNED_SUPPORT_DISABLE */
-
-    /* Decrement the loop counter */
-    stgCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  stgCnt = (numStages) % 0x4u;
-
-  /* copy data */
-  while(stgCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    stgCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t fcurr, fnext = 0, gcurr = 0, gnext;      /* Temporary variables for lattice stages */
-  uint32_t stgCnt;                               /* Temporary variables for counts */
-  q63_t acc;                                     /* Accumlator */
-  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
-  q15_t *px1, *px2, *pk, *pv;                    /* temporary pointers for state and coef */
-  uint32_t numStages = S->numStages;             /* number of stages */
-  q15_t *pState;                                 /* State pointer */
-  q15_t *pStateCurnt;                            /* State current pointer */
-  q15_t out;                                     /* Temporary variable for output */
-
-
-  blkCnt = blockSize;
-
-  pState = &S->pState[0];
-
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-    /* Set accumulator to zero */
-    acc = 0;
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-    tapCnt = numStages;
-
-    while(tapCnt > 0u)
-    {
-      gcurr = *px1++;
-      /* Process sample */
-      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
-      fnext = fcurr - ((gcurr * (*pk)) >> 15);
-      fnext = __SSAT(fnext, 16);
-      /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
-      gnext = ((fnext * (*pk++)) >> 15) + gcurr;
-      gnext = __SSAT(gnext, 16);
-      /* Output samples */
-      /* y(n) += gN(n) * vN */
-      acc += (q31_t) ((gnext * (*pv++)));
-      /* write gN(n) into state for next sample processing */
-      *px2++ = (q15_t) gnext;
-      /* Update f values for next coefficient processing */
-      fcurr = fnext;
-
-      tapCnt--;
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (q31_t) ((fnext * (*pv++)));
-
-    out = (q15_t) __SSAT(acc >> 15, 16);
-    *px2++ = (q15_t) fnext;
-
-    /* write out into pDst */
-    *pDst++ = out;
-
-    /* Advance the state pointer by 1 to process the next group of samples */
-    pState = pState + 1u;
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
-     for the preperation of next frame process */
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  stgCnt = numStages;
-
-  /* copy data */
-  while(stgCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    stgCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-
-
-
-/**    
- * @} end of IIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q31.c
deleted file mode 100644
index 347c857b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q31.c
+++ /dev/null
@@ -1,350 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_iir_lattice_q31.c    
-*    
-* Description:	Q31 IIR lattice filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 IIR lattice filter.    
- * @param[in] *S points to an instance of the Q31 IIR lattice structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in] blockSize number of samples to process.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by 2*log2(numStages) bits.    
- * After all multiply-accumulates are performed, the 2.62 accumulator is saturated to 1.32 format and then truncated to 1.31 format.    
- */
-
-void arm_iir_lattice_q31(
-  const arm_iir_lattice_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t fcurr, fnext = 0, gcurr = 0, gnext;      /* Temporary variables for lattice stages */
-  q63_t acc;                                     /* Accumlator */
-  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
-  q31_t *px1, *px2, *pk, *pv;                    /* Temporary pointers for state and coef */
-  uint32_t numStages = S->numStages;             /* number of stages */
-  q31_t *pState;                                 /* State pointer */
-  q31_t *pStateCurnt;                            /* State current pointer */
-
-  blkCnt = blockSize;
-
-  pState = &S->pState[0];
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-    /* Set accumulator to zero */
-    acc = 0;
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-
-    /* Process sample for first tap */
-    gcurr = *px1++;
-    /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
-    fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-    /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
-    gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
-    /* write gN-1(n-1) into state for next sample processing */
-    *px2++ = gnext;
-    /* y(n) += gN(n) * vN  */
-    acc += ((q63_t) gnext * *pv++);
-
-    /* Update f values for next coefficient processing */
-    fcurr = fnext;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = (numStages - 1u) >> 2;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Process sample for 2nd, 6th .. taps */
-      /* Read gN-2(n-1) from state buffer */
-      gcurr = *px1++;
-      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
-      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-      /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
-      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
-      /* y(n) += gN-1(n) * vN-1  */
-      /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
-      acc += ((q63_t) gnext * *pv++);
-      /* write gN-1(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      /* Process sample for 3nd, 7th ...taps */
-      /* Read gN-3(n-1) from state buffer */
-      gcurr = *px1++;
-      /* Process sample for 3rd, 7th .. taps */
-      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
-      fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
-      gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
-      /* y(n) += gN-2(n) * vN-2  */
-      /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
-      acc += ((q63_t) gnext * *pv++);
-      /* write gN-2(n) into state for next sample processing */
-      *px2++ = gnext;
-
-
-      /* Process sample for 4th, 8th ...taps */
-      /* Read gN-4(n-1) from state buffer */
-      gcurr = *px1++;
-      /* Process sample for 4th, 8th .. taps */
-      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
-      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-      /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
-      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
-      /* y(n) += gN-3(n) * vN-3  */
-      /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
-      acc += ((q63_t) gnext * *pv++);
-      /* write gN-3(n) into state for next sample processing */
-      *px2++ = gnext;
-
-
-      /* Process sample for 5th, 9th ...taps */
-      /* Read gN-5(n-1) from state buffer */
-      gcurr = *px1++;
-      /* Process sample for 5th, 9th .. taps */
-      /* fN-5(n) = fN-4(n) - kN-4 * gN-1(n-1) */
-      fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-      /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
-      gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
-      /* y(n) += gN-4(n) * vN-4  */
-      /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
-      acc += ((q63_t) gnext * *pv++);
-      /* write gN-4(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      tapCnt--;
-
-    }
-
-    fnext = fcurr;
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = (numStages - 1u) % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      gcurr = *px1++;
-      /* Process sample for last taps */
-      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
-      /* Output samples for last taps */
-      acc += ((q63_t) gnext * *pv++);
-      *px2++ = gnext;
-      fcurr = fnext;
-
-      tapCnt--;
-
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (q63_t) fnext *(
-  *pv++);
-
-    *px2++ = fnext;
-
-    /* write out into pDst */
-    *pDst++ = (q31_t) (acc >> 31u);
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 1u;
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer    
-     for the preperation of next frame process */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  tapCnt = numStages >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numStages) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  };
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-    /* Set accumulator to zero */
-    acc = 0;
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-    tapCnt = numStages;
-
-    while(tapCnt > 0u)
-    {
-      gcurr = *px1++;
-      /* Process sample */
-      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
-      fnext =
-        clip_q63_to_q31(((q63_t) fcurr -
-                         ((q31_t) (((q63_t) gcurr * (*pk)) >> 31))));
-      /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
-      gnext =
-        clip_q63_to_q31(((q63_t) gcurr +
-                         ((q31_t) (((q63_t) fnext * (*pk++)) >> 31))));
-      /* Output samples */
-      /* y(n) += gN(n) * vN  */
-      acc += ((q63_t) gnext * *pv++);
-      /* write gN-1(n-1) into state for next sample processing */
-      *px2++ = gnext;
-      /* Update f values for next coefficient processing */
-      fcurr = fnext;
-
-      tapCnt--;
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (q63_t) fnext *(
-  *pv++);
-
-    *px2++ = fnext;
-
-    /* write out into pDst */
-    *pDst++ = (q31_t) (acc >> 31u);
-
-    /* Advance the state pointer by 1 to process the next group of samples */
-    pState = pState + 1u;
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
-     for the preperation of next frame process */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  tapCnt = numStages;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-
-
-
-/**    
- * @} end of IIR_Lattice group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_f32.c
deleted file mode 100644
index 269330ca..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_f32.c
+++ /dev/null
@@ -1,442 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_f32.c    
-*    
-* Description:	Processing function for the floating-point LMS filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup LMS Least Mean Square (LMS) Filters    
- *    
- * LMS filters are a class of adaptive filters that are able to "learn" an unknown transfer functions.    
- * LMS filters use a gradient descent method in which the filter coefficients are updated based on the instantaneous error signal.    
- * Adaptive filters are often used in communication systems, equalizers, and noise removal.    
- * The CMSIS DSP Library contains LMS filter functions that operate on Q15, Q31, and floating-point data types.    
- * The library also contains normalized LMS filters in which the filter coefficient adaptation is indepedent of the level of the input signal.    
- *    
- * An LMS filter consists of two components as shown below.    
- * The first component is a standard transversal or FIR filter.    
- * The second component is a coefficient update mechanism.    
- * The LMS filter has two input signals.    
- * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.    
- * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.    
- * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.    
- * This "error signal" tends towards zero as the filter adapts.    
- * The LMS processing functions accept the input and reference input signals and generate the filter output and error signal.    
- * \image html LMS.gif "Internal structure of the Least Mean Square filter"    
- *    
- * The functions operate on blocks of data and each call to the function processes    
- * blockSize samples through the filter.    
- * pSrc points to input signal, pRef points to reference signal,    
- * pOut points to output signal and pErr points to error signal.    
- * All arrays contain blockSize values.    
- *    
- * The functions operate on a block-by-block basis.    
- * Internally, the filter coefficients b[n] are updated on a sample-by-sample basis.    
- * The convergence of the LMS filter is slower compared to the normalized LMS algorithm.    
- *    
- * \par Algorithm:    
- * The output signal y[n] is computed by a standard FIR filter:    
- * 
    
- *     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
- * 
    
- *    
- * \par    
- * The error signal equals the difference between the reference signal d[n] and the filter output:    
- * 
    
- *     e[n] = d[n] - y[n].    
- * 
    
- *    
- * \par    
- * After each sample of the error signal is computed, the filter coefficients b[k] are updated on a sample-by-sample basis:    
- * 
    
- *     b[k] = b[k] + e[n] * mu * x[n-k],  for k=0, 1, ..., numTaps-1    
- * 
    
- * where mu is the step size and controls the rate of coefficient convergence.    
- *\par    
- * In the APIs, pCoeffs points to a coefficient array of size numTaps.    
- * Coefficients are stored in time reversed order.    
- * \par    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to a state array of size numTaps + blockSize - 1.    
- * Samples in the state buffer are stored in the order:    
- * \par    
- * 
    
- *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
- * 
    
- * \par    
- * Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples.    
- * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,    
- * to be avoided and yields a significant speed improvement.    
- * The state variables are updated after each block of data is processed.    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter and    
- * coefficient and state arrays cannot be shared among instances.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * To do this manually without calling the init function, assign the follow subfields of the instance structure:
- * numTaps, pCoeffs, mu, postShift (not for f32), pState. Also set all of the values in pState to zero. 
- *
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros before static initialization.    
- * The code below statically initializes each of the 3 different data type filter instance structures    
- * 
    
- *    arm_lms_instance_f32 S = {numTaps, pState, pCoeffs, mu};    
- *    arm_lms_instance_q31 S = {numTaps, pState, pCoeffs, mu, postShift};    
- *    arm_lms_instance_q15 S = {numTaps, pState, pCoeffs, mu, postShift};    
- * 
    
- * where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer;    
- * pCoeffs is the address of the coefficient buffer; mu is the step size parameter; and postShift is the shift applied to coefficients.    
- *    
- * \par Fixed-Point Behavior:    
- * Care must be taken when using the Q15 and Q31 versions of the LMS filter.    
- * The following issues must be considered:    
- * - Scaling of coefficients    
- * - Overflow and saturation    
- *    
- * \par Scaling of Coefficients:    
- * Filter coefficients are represented as fractional values and    
- * coefficients are restricted to lie in the range [-1 +1).    
- * The fixed-point functions have an additional scaling parameter postShift.    
- * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.    
- * This essentially scales the filter coefficients by 2^postShift and    
- * allows the filter coefficients to exceed the range [+1 -1).    
- * The value of postShift is set by the user based on the expected gain through the system being modeled.    
- *    
- * \par Overflow and Saturation:    
- * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are    
- * described separately as part of the function specific documentation below.    
- */
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
-/**           
- * @details           
- * This function operates on floating-point data types.       
- *    
- * @brief Processing function for floating-point LMS filter.    
- * @param[in]  *S points to an instance of the floating-point LMS filter structure.    
- * @param[in]  *pSrc points to the block of input data.    
- * @param[in]  *pRef points to the block of reference data.    
- * @param[out] *pOut points to the block of output data.    
- * @param[out] *pErr points to the block of error data.    
- * @param[in]  blockSize number of samples to process.    
- * @return     none.    
- */
-
-void arm_lms_f32(
-  const arm_lms_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pRef,
-  float32_t * pOut,
-  float32_t * pErr,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-  float32_t mu = S->mu;                          /* Adaptive factor */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  float32_t sum, e, d;                           /* accumulator, error, reference data sample */
-  float32_t w = 0.0f;                            /* weight factor */
-
-  e = 0.0f;
-  d = 0.0f;
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  blkCnt = blockSize;
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Set the accumulator to zero */
-    sum = 0.0f;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* The result in the accumulator, store in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Compute and store error */
-    d = (float32_t) (*pRef++);
-    e = d - sum;
-    *pErr++ = e;
-
-    /* Calculation of Weighting factor for the updating filter coefficients */
-    w = e * mu;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Loop unrolling for (numTaps - 1u) samples copy */
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Set the accumulator to zero */
-    sum = 0.0f;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* The result is stored in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Compute and store error */
-    d = (float32_t) (*pRef++);
-    e = d - sum;
-    *pErr++ = e;
-
-    /* Weighting factor for the LMS version */
-    w = e * mu;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
-   * start of the state buffer. This prepares the state buffer for the        
-   * next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /*  Copy (numTaps - 1u) samples  */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
-   * @} end of LMS group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_f32.c
deleted file mode 100644
index a347ddb7..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_f32.c
+++ /dev/null
@@ -1,95 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_init_f32.c    
-*    
-* Description:  Floating-point LMS filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for floating-point LMS filter.    
-   * @param[in] *S points to an instance of the floating-point LMS filter structure.    
-   * @param[in] numTaps  number of filter coefficients.    
-   * @param[in] *pCoeffs points to the coefficient buffer.    
-   * @param[in] *pState points to state buffer.    
-   * @param[in] mu step size that controls filter coefficient updates.    
-   * @param[in] blockSize number of samples to process.    
-   * @return none.    
-   */
-
-/**    
- * \par Description:    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * The initial filter coefficients serve as a starting point for the adaptive filter.    
- * pState points to an array of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_lms_f32().    
- */
-
-void arm_lms_init_f32(
-  arm_lms_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  float32_t mu,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps */
-  memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-}
-
-/**    
- * @} end of LMS group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q15.c
deleted file mode 100644
index cac7dfc5..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q15.c
+++ /dev/null
@@ -1,105 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_init_q15.c    
-*    
-* Description:  Q15 LMS filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
-/**    
-* @brief Initialization function for the Q15 LMS filter.    
-* @param[in] *S points to an instance of the Q15 LMS filter structure.    
-* @param[in] numTaps  number of filter coefficients.    
-* @param[in] *pCoeffs points to the coefficient buffer.    
-* @param[in] *pState points to the state buffer.    
-* @param[in] mu step size that controls filter coefficient updates.    
-* @param[in] blockSize number of samples to process.    
-* @param[in] postShift bit shift applied to coefficients.    
-* @return    none.    
-*    
-* \par Description:    
-* pCoeffs points to the array of filter coefficients stored in time reversed order:    
-* 
    
-*    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
-* 
    
-* The initial filter coefficients serve as a starting point for the adaptive filter.    
-* pState points to the array of state variables and size of array is    
-* numTaps+blockSize-1 samples, where blockSize is the number of    
-* input samples processed by each call to arm_lms_q15().    
-*/
-
-void arm_lms_init_q15(
-  arm_lms_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  q15_t mu,
-  uint32_t blockSize,
-  uint32_t postShift)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps - 1 */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-
-  /* Assign postShift value to be applied */
-  S->postShift = postShift;
-
-}
-
-/**    
- * @} end of LMS group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q31.c
deleted file mode 100644
index d425557b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q31.c
+++ /dev/null
@@ -1,105 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_init_q31.c    
-*    
-* Description:  Q31 LMS filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for Q31 LMS filter.    
-   * @param[in] *S points to an instance of the Q31 LMS filter structure.    
-   * @param[in] numTaps  number of filter coefficients.    
-   * @param[in] *pCoeffs points to coefficient buffer.    
-   * @param[in] *pState points to state buffer.    
-   * @param[in] mu step size that controls filter coefficient updates.    
-   * @param[in] blockSize number of samples to process.    
-   * @param[in] postShift bit shift applied to coefficients.    
-   * @return none.    
- *    
- * \par Description:    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * The initial filter coefficients serve as a starting point for the adaptive filter.    
- * pState points to an array of length numTaps+blockSize-1 samples,    
- * where blockSize is the number of input samples processed by each call to    
- * arm_lms_q31().    
- */
-
-void arm_lms_init_q31(
-  arm_lms_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  q31_t mu,
-  uint32_t blockSize,
-  uint32_t postShift)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps - 1 */
-  memset(pState, 0, ((uint32_t) numTaps + (blockSize - 1u)) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-
-  /* Assign postShift value to be applied */
-  S->postShift = postShift;
-
-}
-
-/**    
- * @} end of LMS group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c
deleted file mode 100644
index 6e3117fe..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c
+++ /dev/null
@@ -1,466 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_norm_f32.c    
-*    
-* Description:	Processing function for the floating-point Normalised LMS.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup LMS_NORM Normalized LMS Filters    
- *    
- * This set of functions implements a commonly used adaptive filter.    
- * It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization    
- * factor which increases the adaptation rate of the filter.    
- * The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types.    
- *    
- * A normalized least mean square (NLMS) filter consists of two components as shown below.    
- * The first component is a standard transversal or FIR filter.    
- * The second component is a coefficient update mechanism.    
- * The NLMS filter has two input signals.    
- * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.    
- * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.    
- * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.    
- * This "error signal" tends towards zero as the filter adapts.    
- * The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal.    
- * \image html LMS.gif "Internal structure of the NLMS adaptive filter"    
- *    
- * The functions operate on blocks of data and each call to the function processes    
- * blockSize samples through the filter.    
- * pSrc points to input signal, pRef points to reference signal,    
- * pOut points to output signal and pErr points to error signal.    
- * All arrays contain blockSize values.    
- *    
- * The functions operate on a block-by-block basis.    
- * Internally, the filter coefficients b[n] are updated on a sample-by-sample basis.    
- * The convergence of the LMS filter is slower compared to the normalized LMS algorithm.    
- *    
- * \par Algorithm:    
- * The output signal y[n] is computed by a standard FIR filter:    
- * 
    
- *     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
- * 
    
- *    
- * \par    
- * The error signal equals the difference between the reference signal d[n] and the filter output:    
- * 
    
- *     e[n] = d[n] - y[n].    
- * 
    
- *    
- * \par    
- * After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated:    
- * 
    
- *    E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2.    
- * 
    
- * The filter coefficients b[k] are then updated on a sample-by-sample basis:    
- * 
    
- *     b[k] = b[k] + e[n] * (mu/E) * x[n-k],  for k=0, 1, ..., numTaps-1    
- * 
    
- * where mu is the step size and controls the rate of coefficient convergence.    
- *\par    
- * In the APIs, pCoeffs points to a coefficient array of size numTaps.    
- * Coefficients are stored in time reversed order.    
- * \par    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to a state array of size numTaps + blockSize - 1.    
- * Samples in the state buffer are stored in the order:    
- * \par    
- * 
    
- *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
- * 
    
- * \par    
- * Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples.    
- * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,    
- * to be avoided and yields a significant speed improvement.    
- * The state variables are updated after each block of data is processed.    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter and    
- * coefficient and state arrays cannot be shared among instances.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * To do this manually without calling the init function, assign the follow subfields of the instance structure:
- * numTaps, pCoeffs, mu, energy, x0, pState. Also set all of the values in pState to zero. 
- * For Q7, Q15, and Q31 the following fields must also be initialized;
- * recipTable, postShift
- *
- * \par    
- * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.    
- * \par Fixed-Point Behavior:    
- * Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter.    
- * The following issues must be considered:    
- * - Scaling of coefficients    
- * - Overflow and saturation    
- *    
- * \par Scaling of Coefficients:    
- * Filter coefficients are represented as fractional values and    
- * coefficients are restricted to lie in the range [-1 +1).    
- * The fixed-point functions have an additional scaling parameter postShift.    
- * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.    
- * This essentially scales the filter coefficients by 2^postShift and    
- * allows the filter coefficients to exceed the range [+1 -1).    
- * The value of postShift is set by the user based on the expected gain through the system being modeled.    
- *    
- * \par Overflow and Saturation:    
- * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are    
- * described separately as part of the function specific documentation below.    
- */
-
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-
-  /**    
-   * @brief Processing function for floating-point normalized LMS filter.    
-   * @param[in] *S points to an instance of the floating-point normalized LMS filter structure.    
-   * @param[in] *pSrc points to the block of input data.    
-   * @param[in] *pRef points to the block of reference data.    
-   * @param[out] *pOut points to the block of output data.    
-   * @param[out] *pErr points to the block of error data.    
-   * @param[in] blockSize number of samples to process.    
-   * @return none.    
-   */
-
-void arm_lms_norm_f32(
-  arm_lms_norm_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pRef,
-  float32_t * pOut,
-  float32_t * pErr,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-  float32_t mu = S->mu;                          /* Adaptive factor */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  float32_t energy;                              /* Energy of the input */
-  float32_t sum, e, d;                           /* accumulator, error, reference data sample */
-  float32_t w, x0, in;                           /* weight factor, temporary variable to hold input sample and state */
-
-  /* Initializations of error,  difference, Coefficient update */
-  e = 0.0f;
-  d = 0.0f;
-  w = 0.0f;
-
-  energy = S->energy;
-  x0 = S->x0;
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy -= x0 * x0;
-    energy += in * in;
-
-    /* Set the accumulator to zero */
-    sum = 0.0f;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* The result in the accumulator, store in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Compute and store error */
-    d = (float32_t) (*pRef++);
-    e = d - sum;
-    *pErr++ = e;
-
-    /* Calculation of Weighting factor for updating filter coefficients */
-    /* epsilon value 0.000000119209289f */
-    w = (e * mu) / (energy + 0.000000119209289f);
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb += w * (*px++);
-      pb++;
-
-      *pb += w * (*px++);
-      pb++;
-
-      *pb += w * (*px++);
-      pb++;
-
-      *pb += w * (*px++);
-      pb++;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb += w * (*px++);
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  S->energy = energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Loop unrolling for (numTaps - 1u)/4 samples copy */
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy -= x0 * x0;
-    energy += in * in;
-
-    /* Set the accumulator to zero */
-    sum = 0.0f;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* The result in the accumulator is stored in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Compute and store error */
-    d = (float32_t) (*pRef++);
-    e = d - sum;
-    *pErr++ = e;
-
-    /* Calculation of Weighting factor for updating filter coefficients */
-    /* epsilon value 0.000000119209289f */
-    w = (e * mu) / (energy + 0.000000119209289f);
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCcoeffs pointer */
-    pb = pCoeffs;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb += w * (*px++);
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  S->energy = energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
-     satrt of the state buffer. This prepares the state buffer for the        
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Copy (numTaps - 1u) samples  */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
-   * @} end of LMS_NORM group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_f32.c
deleted file mode 100644
index 2c23315e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_f32.c
+++ /dev/null
@@ -1,105 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_norm_init_f32.c    
-*    
-* Description:  Floating-point NLMS filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for floating-point normalized LMS filter.    
-   * @param[in] *S points to an instance of the floating-point LMS filter structure.    
-   * @param[in] numTaps  number of filter coefficients.    
-   * @param[in] *pCoeffs points to coefficient buffer.    
-   * @param[in] *pState points to state buffer.    
-   * @param[in] mu step size that controls filter coefficient updates.    
-   * @param[in] blockSize number of samples to process.    
-   * @return none.    
-   *    
- * \par Description:    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * The initial filter coefficients serve as a starting point for the adaptive filter.    
- * pState points to an array of length numTaps+blockSize-1 samples,    
- * where blockSize is the number of input samples processed by each call to arm_lms_norm_f32().    
- */
-
-void arm_lms_norm_init_f32(
-  arm_lms_norm_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  float32_t mu,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps - 1 */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-
-  /* Initialise Energy to zero */
-  S->energy = 0.0f;
-
-  /* Initialise x0 to zero */
-  S->x0 = 0.0f;
-
-}
-
-/**    
- * @} end of LMS_NORM group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q15.c
deleted file mode 100644
index be3e31f6..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q15.c
+++ /dev/null
@@ -1,112 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_norm_init_q15.c    
-*    
-* Description:  Q15 NLMS initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for Q15 normalized LMS filter.    
-   * @param[in] *S points to an instance of the Q15 normalized LMS filter structure.    
-   * @param[in] numTaps  number of filter coefficients.    
-   * @param[in] *pCoeffs points to coefficient buffer.    
-   * @param[in] *pState points to state buffer.    
-   * @param[in] mu step size that controls filter coefficient updates.    
-   * @param[in] blockSize number of samples to process.    
-   * @param[in] postShift bit shift applied to coefficients.    
-   * @return none.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * The initial filter coefficients serve as a starting point for the adaptive filter.    
- * pState points to the array of state variables and size of array is    
- * numTaps+blockSize-1 samples, where blockSize is the number of input samples processed    
- * by each call to arm_lms_norm_q15().    
- */
-
-void arm_lms_norm_init_q15(
-  arm_lms_norm_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  q15_t mu,
-  uint32_t blockSize,
-  uint8_t postShift)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps - 1 */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
-
-  /* Assign post Shift value applied to coefficients */
-  S->postShift = postShift;
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-
-  /* Initialize reciprocal pointer table */
-  S->recipTable = (q15_t *) armRecipTableQ15;
-
-  /* Initialise Energy to zero */
-  S->energy = 0;
-
-  /* Initialise x0 to zero */
-  S->x0 = 0;
-
-}
-
-/**    
- * @} end of LMS_NORM group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q31.c
deleted file mode 100644
index 9ada3a00..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q31.c
+++ /dev/null
@@ -1,111 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_norm_init_q31.c    
-*    
-* Description:  Q31 NLMS initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for Q31 normalized LMS filter.    
-   * @param[in] *S points to an instance of the Q31 normalized LMS filter structure.    
-   * @param[in] numTaps  number of filter coefficients.    
-   * @param[in] *pCoeffs points to coefficient buffer.    
-   * @param[in] *pState points to state buffer.    
-   * @param[in] mu step size that controls filter coefficient updates.    
-   * @param[in] blockSize number of samples to process.    
-   * @param[in] postShift bit shift applied to coefficients.    
-   * @return none.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * The initial filter coefficients serve as a starting point for the adaptive filter.    
- * pState points to an array of length numTaps+blockSize-1 samples,    
- * where blockSize is the number of input samples processed by each call to arm_lms_norm_q31().    
- */
-
-void arm_lms_norm_init_q31(
-  arm_lms_norm_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  q31_t mu,
-  uint32_t blockSize,
-  uint8_t postShift)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps - 1  */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q31_t));
-
-  /* Assign post Shift value applied to coefficients */
-  S->postShift = postShift;
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-
-  /* Initialize reciprocal pointer table */
-  S->recipTable = (q31_t *) armRecipTableQ31;
-
-  /* Initialise Energy to zero */
-  S->energy = 0;
-
-  /* Initialise x0 to zero */
-  S->x0 = 0;
-
-}
-
-/**    
- * @} end of LMS_NORM group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q15.c
deleted file mode 100644
index 208a9d88..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q15.c
+++ /dev/null
@@ -1,440 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_norm_q15.c    
-*    
-* Description:	Q15 NLMS filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-/**    
-* @brief Processing function for Q15 normalized LMS filter.    
-* @param[in] *S points to an instance of the Q15 normalized LMS filter structure.    
-* @param[in] *pSrc points to the block of input data.    
-* @param[in] *pRef points to the block of reference data.    
-* @param[out] *pOut points to the block of output data.    
-* @param[out] *pErr points to the block of error data.    
-* @param[in] blockSize number of samples to process.    
-* @return none.    
-*    
-* Scaling and Overflow Behavior:     
-* \par     
-* The function is implemented using a 64-bit internal accumulator.     
-* Both coefficients and state variables are represented in 1.15 format and    
-* multiplications yield a 2.30 result. The 2.30 intermediate results are    
-* accumulated in a 64-bit accumulator in 34.30 format.     
-* There is no risk of internal overflow with this approach and the full    
-* precision of intermediate multiplications is preserved. After all additions    
-* have been performed, the accumulator is truncated to 34.15 format by    
-* discarding low 15 bits. Lastly, the accumulator is saturated to yield a    
-* result in 1.15 format.    
-*    
-* \par   
-* 	In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.    
-*    
- */
-
-void arm_lms_norm_q15(
-  arm_lms_norm_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pRef,
-  q15_t * pOut,
-  q15_t * pErr,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
-  q15_t mu = S->mu;                              /* Adaptive factor */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  q31_t energy;                                  /* Energy of the input */
-  q63_t acc;                                     /* Accumulator */
-  q15_t e = 0, d = 0;                            /* error, reference data sample */
-  q15_t w = 0, in;                               /* weight factor and state */
-  q15_t x0;                                      /* temporary variable to hold input sample */
-  //uint32_t shift = (uint32_t) S->postShift + 1u; /* Shift to be applied to the output */ 
-  q15_t errorXmu, oneByEnergy;                   /* Temporary variables to store error and mu product and reciprocal of energy */
-  q15_t postShift;                               /* Post shift to be applied to weight after reciprocal calculation */
-  q31_t coef;                                    /* Teporary variable for coefficient */
-  q31_t acc_l, acc_h;
-  int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift  */
-  int32_t uShift = (32 - lShift);
-
-  energy = S->energy;
-  x0 = S->x0;
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy -= (((q31_t) x0 * (x0)) >> 15);
-    energy += (((q31_t) in * (in)) >> 15);
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Perform the multiply-accumulate */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
-      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
-
-#else
-
-      acc += (((q31_t) * px++ * (*pb++)));
-      acc += (((q31_t) * px++ * (*pb++)));
-      acc += (((q31_t) * px++ * (*pb++)));
-      acc += (((q31_t) * px++ * (*pb++)));
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += (((q31_t) * px++ * (*pb++)));
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    /* Apply shift for lower part of acc and upper part of acc */
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Converting the result to 1.15 format and saturate the output */
-    acc = __SSAT(acc, 16u);
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q15_t) acc;
-
-    /* Compute and store error */
-    d = *pRef++;
-    e = d - (q15_t) acc;
-    *pErr++ = e;
-
-    /* Calculation of 1/energy */
-    postShift = arm_recip_q15((q15_t) energy + DELTA_Q15,
-                              &oneByEnergy, S->recipTable);
-
-    /* Calculation of e * mu value */
-    errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
-
-    /* Calculation of (e * mu) * (1/energy) value */
-    acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
-
-    /* Weighting factor for the normalized version */
-    w = (q15_t) __SSAT((q31_t) acc, 16);
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Read the sample from state buffer */
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Save energy and x0 values for the next frame */
-  S->energy = (q15_t) energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculation of count for copying integer writes */
-  tapCnt = (numTaps - 1u) >> 2;
-
-  while(tapCnt > 0u)
-  {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-#else
-
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-#endif
-
-    tapCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy -= (((q31_t) x0 * (x0)) >> 15);
-    energy += (((q31_t) in * (in)) >> 15);
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += (((q31_t) * px++ * (*pb++)));
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    /* Apply shift for lower part of acc and upper part of acc */
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Converting the result to 1.15 format and saturate the output */
-    acc = __SSAT(acc, 16u);
-
-    /* Converting the result to 1.15 format */
-    //acc = __SSAT((acc >> (16u - shift)), 16u); 
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q15_t) acc;
-
-    /* Compute and store error */
-    d = *pRef++;
-    e = d - (q15_t) acc;
-    *pErr++ = e;
-
-    /* Calculation of 1/energy */
-    postShift = arm_recip_q15((q15_t) energy + DELTA_Q15,
-                              &oneByEnergy, S->recipTable);
-
-    /* Calculation of e * mu value */
-    errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
-
-    /* Calculation of (e * mu) * (1/energy) value */
-    acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
-
-    /* Weighting factor for the normalized version */
-    w = (q15_t) __SSAT((q31_t) acc, 16);
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Read the sample from state buffer */
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Save energy and x0 values for the next frame */
-  S->energy = (q15_t) energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
-     satrt of the state buffer. This prepares the state buffer for the        
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* copy (numTaps - 1u) data */
-  tapCnt = (numTaps - 1u);
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-
-/**    
-   * @} end of LMS_NORM group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q31.c
deleted file mode 100644
index 3d990e3f..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q31.c
+++ /dev/null
@@ -1,431 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_norm_q31.c    
-*    
-* Description:	Processing function for the Q31 NLMS filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-/**    
-* @brief Processing function for Q31 normalized LMS filter.    
-* @param[in] *S points to an instance of the Q31 normalized LMS filter structure.    
-* @param[in] *pSrc points to the block of input data.    
-* @param[in] *pRef points to the block of reference data.    
-* @param[out] *pOut points to the block of output data.    
-* @param[out] *pErr points to the block of error data.    
-* @param[in] blockSize number of samples to process.    
-* @return none.    
-*    
-* Scaling and Overflow Behavior:     
-* \par     
-* The function is implemented using an internal 64-bit accumulator.     
-* The accumulator has a 2.62 format and maintains full precision of the intermediate   
-* multiplication results but provides only a single guard bit.     
-* Thus, if the accumulator result overflows it wraps around rather than clip.     
-* In order to avoid overflows completely the input signal must be scaled down by    
-* log2(numTaps) bits. The reference signal should not be scaled down.     
-* After all multiply-accumulates are performed, the 2.62 accumulator is shifted    
-* and saturated to 1.31 format to yield the final result.     
-* The output signal and error signal are in 1.31 format.     
-*    
-* \par    
-* 	In this filter, filter coefficients are updated for each sample and the    
-* updation of filter cofficients are saturted.    
-*     
-*/
-
-void arm_lms_norm_q31(
-  arm_lms_norm_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pRef,
-  q31_t * pOut,
-  q31_t * pErr,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
-  q31_t mu = S->mu;                              /* Adaptive factor */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  q63_t energy;                                  /* Energy of the input */
-  q63_t acc;                                     /* Accumulator */
-  q31_t e = 0, d = 0;                            /* error, reference data sample */
-  q31_t w = 0, in;                               /* weight factor and state */
-  q31_t x0;                                      /* temporary variable to hold input sample */
-//  uint32_t shift = 32u - ((uint32_t) S->postShift + 1u);        /* Shift to be applied to the output */      
-  q31_t errorXmu, oneByEnergy;                   /* Temporary variables to store error and mu product and reciprocal of energy */
-  q31_t postShift;                               /* Post shift to be applied to weight after reciprocal calculation */
-  q31_t coef;                                    /* Temporary variable for coef */
-  q31_t acc_l, acc_h;                            /*  temporary input */
-  uint32_t uShift = ((uint32_t) S->postShift + 1u);
-  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
-
-  energy = S->energy;
-  x0 = S->x0;
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  while(blkCnt > 0u)
-  {
-
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy = (q31_t) ((((q63_t) energy << 32) -
-                       (((q63_t) x0 * x0) << 1)) >> 32);
-    energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32);
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += ((q63_t) (*px++)) * (*pb++);
-      acc += ((q63_t) (*px++)) * (*pb++);
-      acc += ((q63_t) (*px++)) * (*pb++);
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Converting the result to 1.31 format */
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q31_t) acc;
-
-    /* Compute and store error */
-    d = *pRef++;
-    e = d - (q31_t) acc;
-    *pErr++ = e;
-
-    /* Calculates the reciprocal of energy */
-    postShift = arm_recip_q31(energy + DELTA_Q31,
-                              &oneByEnergy, &S->recipTable[0]);
-
-    /* Calculation of product of (e * mu) */
-    errorXmu = (q31_t) (((q63_t) e * mu) >> 31);
-
-    /* Weighting factor for the normalized version */
-    w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift));
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-
-      /* coef is in 2.30 format */
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      /* get coef in 1.31 format by left shifting */
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      /* update coefficient buffer to next coefficient */
-      pb++;
-
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Read the sample from state buffer */
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Save energy and x0 values for the next frame */
-  S->energy = (q31_t) energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Loop unrolling for (numTaps - 1u) samples copy */
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(blkCnt > 0u)
-  {
-
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy =
-      (q31_t) ((((q63_t) energy << 32) - (((q63_t) x0 * x0) << 1)) >> 32);
-    energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32);
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Converting the result to 1.31 format */
-    /* Converting the result to 1.31 format */
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-
-    //acc = (q31_t) (acc >> shift); 
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q31_t) acc;
-
-    /* Compute and store error */
-    d = *pRef++;
-    e = d - (q31_t) acc;
-    *pErr++ = e;
-
-    /* Calculates the reciprocal of energy */
-    postShift =
-      arm_recip_q31(energy + DELTA_Q31, &oneByEnergy, &S->recipTable[0]);
-
-    /* Calculation of product of (e * mu) */
-    errorXmu = (q31_t) (((q63_t) e * mu) >> 31);
-
-    /* Weighting factor for the normalized version */
-    w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift));
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      /* coef is in 2.30 format */
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      /* get coef in 1.31 format by left shifting */
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      /* update coefficient buffer to next coefficient */
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Read the sample from state buffer */
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Save energy and x0 values for the next frame */
-  S->energy = (q31_t) energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the     
-     start of the state buffer. This prepares the state buffer for the        
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Loop for (numTaps - 1u) samples copy */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of LMS_NORM group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q15.c
deleted file mode 100644
index c0d465a8..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q15.c
+++ /dev/null
@@ -1,380 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_q15.c    
-*    
-* Description:	Processing function for the Q15 LMS filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
- /**    
- * @brief Processing function for Q15 LMS filter.    
- * @param[in] *S points to an instance of the Q15 LMS filter structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[in] *pRef points to the block of reference data.    
- * @param[out] *pOut points to the block of output data.    
- * @param[out] *pErr points to the block of error data.    
- * @param[in] blockSize number of samples to process.    
- * @return none.    
- *    
- * \par Scaling and Overflow Behavior:    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
- * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
- *   
- * \par   
- * 	In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.   
- *    
- */
-
-void arm_lms_q15(
-  const arm_lms_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pRef,
-  q15_t * pOut,
-  q15_t * pErr,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t mu = S->mu;                              /* Adaptive factor */
-  q15_t *px;                                     /* Temporary pointer for state */
-  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  q63_t acc;                                     /* Accumulator */
-  q15_t e = 0;                                   /* error of data sample */
-  q15_t alpha;                                   /* Intermediate constant for taps update */
-  q31_t coef;                                    /* Teporary variable for coefficient */
-  q31_t acc_l, acc_h;
-  int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift  */
-  int32_t uShift = (32 - lShift);
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Initializing blkCnt with blockSize */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2u;
-
-    while(tapCnt > 0u)
-    {
-      /* acc +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
-      /* Perform the multiply-accumulate */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
-      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
-
-#else
-
-      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
-      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
-      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
-      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
-
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    /* Apply shift for lower part of acc and upper part of acc */
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Converting the result to 1.15 format and saturate the output */
-    acc = __SSAT(acc, 16);
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q15_t) acc;
-
-    /* Compute and store error */
-    e = *pRef++ - (q15_t) acc;
-
-    *pErr++ = (q15_t) e;
-
-    /* Compute alpha i.e. intermediate constant for taps update */
-    alpha = (q15_t) (((q31_t) e * (mu)) >> 15);
-
-    /* Initialize state pointer */
-    /* Advance state pointer by 1 for the next sample */
-    px = pState++;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2u;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculation of count for copying integer writes */
-  tapCnt = (numTaps - 1u) >> 2;
-
-  while(tapCnt > 0u)
-  {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-#else
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-#endif
-
-    tapCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += (q63_t) ((q31_t) (*px++) * (*pb++));
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    /* Apply shift for lower part of acc and upper part of acc */
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Converting the result to 1.15 format and saturate the output */
-    acc = __SSAT(acc, 16);
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q15_t) acc;
-
-    /* Compute and store error */
-    e = *pRef++ - (q15_t) acc;
-
-    *pErr++ = (q15_t) e;
-
-    /* Compute alpha i.e. intermediate constant for taps update */
-    alpha = (q15_t) (((q31_t) e * (mu)) >> 15);
-
-    /* Initialize pState pointer */
-    /* Advance state pointer by 1 for the next sample */
-    px = pState++;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
-     start of the state buffer. This prepares the state buffer for the   
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /*  Copy (numTaps - 1u) samples  */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
-   * @} end of LMS group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q31.c
deleted file mode 100644
index 53c57f02..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q31.c
+++ /dev/null
@@ -1,369 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_q31.c    
-*    
-* Description:	Processing function for the Q31 LMS filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
- /**    
- * @brief Processing function for Q31 LMS filter.    
- * @param[in]  *S points to an instance of the Q15 LMS filter structure.    
- * @param[in]  *pSrc points to the block of input data.    
- * @param[in]  *pRef points to the block of reference data.    
- * @param[out] *pOut points to the block of output data.    
- * @param[out] *pErr points to the block of error data.    
- * @param[in]  blockSize number of samples to process.    
- * @return     none.    
- *    
- * \par Scaling and Overflow Behavior:     
- * The function is implemented using an internal 64-bit accumulator.     
- * The accumulator has a 2.62 format and maintains full precision of the intermediate    
- * multiplication results but provides only a single guard bit.     
- * Thus, if the accumulator result overflows it wraps around rather than clips.     
- * In order to avoid overflows completely the input signal must be scaled down by    
- * log2(numTaps) bits.     
- * The reference signal should not be scaled down.     
- * After all multiply-accumulates are performed, the 2.62 accumulator is shifted    
- * and saturated to 1.31 format to yield the final result.     
- * The output signal and error signal are in 1.31 format.     
- *    
- * \par    
- * 	In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.    
- */
-
-void arm_lms_q31(
-  const arm_lms_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pRef,
-  q31_t * pOut,
-  q31_t * pErr,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t mu = S->mu;                              /* Adaptive factor */
-  q31_t *px;                                     /* Temporary pointer for state */
-  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  q63_t acc;                                     /* Accumulator */
-  q31_t e = 0;                                   /* error of data sample */
-  q31_t alpha;                                   /* Intermediate constant for taps update */
-  q31_t coef;                                    /* Temporary variable for coef */
-  q31_t acc_l, acc_h;                            /*  temporary input */
-  uint32_t uShift = ((uint32_t) S->postShift + 1u);
-  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Initializing blkCnt with blockSize */
-  blkCnt = blockSize;
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      /* acc +=  b[N] * x[n-N] */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* acc +=  b[N-1] * x[n-N-1] */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* acc +=  b[N-2] * x[n-N-2] */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* acc +=  b[N-3] * x[n-N-3] */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Converting the result to 1.31 format */
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q31_t) acc;
-
-    /* Compute and store error */
-    e = *pRef++ - (q31_t) acc;
-
-    *pErr++ = (q31_t) e;
-
-    /* Compute alpha i.e. intermediate constant for taps update */
-    alpha = (q31_t) (((q63_t) e * mu) >> 31);
-
-    /* Initialize state pointer */
-    /* Advance state pointer by 1 for the next sample */
-    px = pState++;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      /* coef is in 2.30 format */
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      /* get coef in 1.31 format by left shifting */
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      /* update coefficient buffer to next coefficient */
-      pb++;
-
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Loop unrolling for (numTaps - 1u) samples copy */
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Converting the result to 1.31 format */
-    /* Store the result from accumulator into the destination buffer. */
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    *pOut++ = (q31_t) acc;
-
-    /* Compute and store error */
-    e = *pRef++ - (q31_t) acc;
-
-    *pErr++ = (q31_t) e;
-
-    /* Weighting factor for the LMS version */
-    alpha = (q31_t) (((q63_t) e * mu) >> 31);
-
-    /* Initialize pState pointer */
-    /* Advance state pointer by 1 for the next sample */
-    px = pState++;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the     
-     start of the state buffer. This prepares the state buffer for the   
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /*  Copy (numTaps - 1u) samples  */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
-   * @} end of LMS group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_f32.c
deleted file mode 100644
index 123f9e9a..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_f32.c
+++ /dev/null
@@ -1,208 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_mat_add_f32.c    
-*    
-* Description:	Floating-point matrix addition    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupMatrix        
- */
-
-/**        
- * @defgroup MatrixAdd Matrix Addition        
- *        
- * Adds two matrices.        
- * \image html MatrixAddition.gif "Addition of two 3 x 3 matrices"        
- *        
- * The functions check to make sure that        
- * pSrcA, pSrcB, and pDst have the same        
- * number of rows and columns.        
- */
-
-/**        
- * @addtogroup MatrixAdd        
- * @{        
- */
-
-
-/**        
- * @brief Floating-point matrix addition.        
- * @param[in]       *pSrcA points to the first input matrix structure        
- * @param[in]       *pSrcB points to the second input matrix structure        
- * @param[out]      *pDst points to output matrix structure        
- * @return     		The function returns either        
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.        
- */
-
-arm_status arm_mat_add_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A  */
-  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B  */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer   */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  float32_t inA1, inA2, inB1, inB2, out1, out2;  /* temporary variables */
-
-#endif //      #ifndef ARM_MATH_CM0_FAMILY
-
-  uint32_t numSamples;                           /* total number of elements in the matrix  */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix addition */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif
-  {
-
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Loop unrolling */
-    blkCnt = numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add and then store the results in the destination buffer. */
-      /* Read values from source A */
-      inA1 = pIn1[0];
-
-      /* Read values from source B */
-      inB1 = pIn2[0];
-
-      /* Read values from source A */
-      inA2 = pIn1[1];
-
-      /* out = sourceA + sourceB */
-      out1 = inA1 + inB1;
-
-      /* Read values from source B */
-      inB2 = pIn2[1];
-
-      /* Read values from source A */
-      inA1 = pIn1[2];
-
-      /* out = sourceA + sourceB */
-      out2 = inA2 + inB2;
-
-      /* Read values from source B */
-      inB1 = pIn2[2];
-
-      /* Store result in destination */
-      pOut[0] = out1;
-      pOut[1] = out2;
-
-      /* Read values from source A */
-      inA2 = pIn1[3];
-
-      /* Read values from source B */
-      inB2 = pIn2[3];
-
-      /* out = sourceA + sourceB */
-      out1 = inA1 + inB1;
-
-      /* out = sourceA + sourceB */
-      out2 = inA2 + inB2;
-
-      /* Store result in destination */
-      pOut[2] = out1;
-
-      /* Store result in destination */
-      pOut[3] = out2;
-
-
-      /* update pointers to process next sampels */
-      pIn1 += 4u;
-      pIn2 += 4u;
-      pOut += 4u;
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add and then store the results in the destination buffer. */
-      *pOut++ = (*pIn1++) + (*pIn2++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixAdd group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q15.c
deleted file mode 100644
index ef7f8697..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q15.c
+++ /dev/null
@@ -1,163 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_add_q15.c    
-*    
-* Description:	Q15 matrix addition    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixAdd    
- * @{    
- */
-
-/**    
- * @brief Q15 matrix addition.    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
- */
-
-arm_status arm_mat_add_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst)
-{
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A  */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
-  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  uint16_t numSamples;                           /* total number of elements in the matrix  */
-  uint32_t blkCnt;                               /* loop counters  */
-  arm_status status;                             /* status of matrix addition  */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint16_t) (pSrcA->numRows * pSrcA->numCols);
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop unrolling */
-    blkCnt = (uint32_t) numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add, Saturate and then store the results in the destination buffer. */
-      *__SIMD32(pOut)++ = __QADD16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
-      *__SIMD32(pOut)++ = __QADD16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = (uint32_t) numSamples % 0x4u;
-
-    /* q15 pointers of input and output are initialized */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add, Saturate and then store the results in the destination buffer. */
-      *pOut++ = (q15_t) __QADD16(*pInA++, *pInB++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = (uint32_t) numSamples;
-
-
-    /* q15 pointers of input and output are initialized */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add, Saturate and then store the results in the destination buffer. */
-      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ + *pInB++), 16);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixAdd group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q31.c
deleted file mode 100644
index de02d707..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q31.c
+++ /dev/null
@@ -1,207 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_add_q31.c    
-*    
-* Description:	Q31 matrix addition    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**      
- * @ingroup groupMatrix      
- */
-
-/**      
- * @addtogroup MatrixAdd      
- * @{      
- */
-
-/**      
- * @brief Q31 matrix addition.      
- * @param[in]       *pSrcA points to the first input matrix structure      
- * @param[in]       *pSrcB points to the second input matrix structure      
- * @param[out]      *pDst points to output matrix structure      
- * @return     		The function returns either      
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.      
- *      
- * Scaling and Overflow Behavior:      
- * \par      
- * The function uses saturating arithmetic.      
- * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated.      
- */
-
-arm_status arm_mat_add_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q31_t inA1, inB1;                              /* temporary variables */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  q31_t inA2, inB2;                              /* temporary variables */
-  q31_t out1, out2;                              /* temporary variables */
-
-#endif //      #ifndef ARM_MATH_CM0_FAMILY
-
-  uint32_t numSamples;                           /* total number of elements in the matrix  */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix addition */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2u;
-
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add, saturate and then store the results in the destination buffer. */
-      /* Read values from source A */
-      inA1 = pIn1[0];
-
-      /* Read values from source B */
-      inB1 = pIn2[0];
-
-      /* Read values from source A */
-      inA2 = pIn1[1];
-
-      /* Add and saturate */
-      out1 = __QADD(inA1, inB1);
-
-      /* Read values from source B */
-      inB2 = pIn2[1];
-
-      /* Read values from source A */
-      inA1 = pIn1[2];
-
-      /* Add and saturate */
-      out2 = __QADD(inA2, inB2);
-
-      /* Read values from source B */
-      inB1 = pIn2[2];
-
-      /* Store result in destination */
-      pOut[0] = out1;
-      pOut[1] = out2;
-
-      /* Read values from source A */
-      inA2 = pIn1[3];
-
-      /* Read values from source B */
-      inB2 = pIn2[3];
-
-      /* Add and saturate */
-      out1 = __QADD(inA1, inB1);
-      out2 = __QADD(inA2, inB2);
-
-      /* Store result in destination */
-      pOut[2] = out1;
-      pOut[3] = out2;
-
-      /* update pointers to process next sampels */
-      pIn1 += 4u;
-      pIn2 += 4u;
-      pOut += 4u;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.      
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add, saturate and then store the results in the destination buffer. */
-      inA1 = *pIn1++;
-      inB1 = *pIn2++;
-
-      inA1 = __QADD(inA1, inB1);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-
-      *pOut++ = inA1;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**      
- * @} end of MatrixAdd group      
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
deleted file mode 100644
index dd41e7c4..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
+++ /dev/null
@@ -1,283 +0,0 @@
-/* ----------------------------------------------------------------------      
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
-*      
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*      
-* Project:      CMSIS DSP Library 
-* Title:	    arm_mat_cmplx_mult_f32.c      
-*      
-* Description:  Floating-point matrix multiplication.      
-*      
-* Target Processor:          Cortex-M4/Cortex-M3/Cortex-M0
-*
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**      
- * @ingroup groupMatrix      
- */
-
-/**      
- * @defgroup CmplxMatrixMult  Complex Matrix Multiplication     
- *     
- * Complex Matrix multiplication is only defined if the number of columns of the      
- * first matrix equals the number of rows of the second matrix.      
- * Multiplying an M x N matrix with an N x P matrix results      
- * in an M x P matrix.      
- * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of      
- * pSrcA and pSrcB are equal; and (2) that the size of the output      
- * matrix equals the outer dimensions of pSrcA and pSrcB.      
- */
-
-
-/**      
- * @addtogroup CmplxMatrixMult      
- * @{      
- */
-
-/**      
- * @brief Floating-point Complex matrix multiplication.      
- * @param[in]       *pSrcA points to the first input complex matrix structure      
- * @param[in]       *pSrcB points to the second input complex matrix structure      
- * @param[out]      *pDst points to output complex matrix structure      
- * @return     		The function returns either      
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.      
- */
-
-arm_status arm_mat_cmplx_mult_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
-  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
-  float32_t *pInA = pSrcA->pData;                /* input data matrix pointer A  */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
-  float32_t *px;                                 /* Temporary output data matrix pointer */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  float32_t sumReal1, sumImag1;                  /* accumulator */
-  float32_t a0, b0, c0, d0;
-  float32_t a1, b1, c1, d1;
-  float32_t sumReal2, sumImag2;                  /* accumulator */
-
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + 2 * i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set      
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      j = 0u;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sumReal1 = 0.0f;
-        sumImag1 = 0.0f;
-
-        sumReal2 = 0.0f;
-        sumImag2 = 0.0f;
-
-        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
-        pIn1 = pInA;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        colCnt = numColsA >> 2;
-
-        /* matrix multiplication        */
-        while(colCnt > 0u)
-        {
-
-          /* Reading real part of complex matrix A */
-          a0 = *pIn1;
-
-          /* Reading real part of complex matrix B */
-          c0 = *pIn2;
-
-          /* Reading imaginary part of complex matrix A */
-          b0 = *(pIn1 + 1u);
-
-          /* Reading imaginary part of complex matrix B */
-          d0 = *(pIn2 + 1u);
-
-          sumReal1 += a0 * c0;
-          sumImag1 += b0 * c0;
-
-          pIn1 += 2u;
-          pIn2 += 2 * numColsB;
-
-          sumReal2 -= b0 * d0;
-          sumImag2 += a0 * d0;
-
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-
-          a1 = *pIn1;
-          c1 = *pIn2;
-
-          b1 = *(pIn1 + 1u);
-          d1 = *(pIn2 + 1u);
-
-          sumReal1 += a1 * c1;
-          sumImag1 += b1 * c1;
-
-          pIn1 += 2u;
-          pIn2 += 2 * numColsB;
-
-          sumReal2 -= b1 * d1;
-          sumImag2 += a1 * d1;
-
-          a0 = *pIn1;
-          c0 = *pIn2;
-
-          b0 = *(pIn1 + 1u);
-          d0 = *(pIn2 + 1u);
-
-          sumReal1 += a0 * c0;
-          sumImag1 += b0 * c0;
-
-          pIn1 += 2u;
-          pIn2 += 2 * numColsB;
-
-          sumReal2 -= b0 * d0;
-          sumImag2 += a0 * d0;
-
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-
-          a1 = *pIn1;
-          c1 = *pIn2;
-
-          b1 = *(pIn1 + 1u);
-          d1 = *(pIn2 + 1u);
-
-          sumReal1 += a1 * c1;
-          sumImag1 += b1 * c1;
-
-          pIn1 += 2u;
-          pIn2 += 2 * numColsB;
-
-          sumReal2 -= b1 * d1;
-          sumImag2 += a1 * d1;
-
-          /* Decrement the loop count */
-          colCnt--;
-        }
-
-        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.      
-         ** No loop unrolling is used. */
-        colCnt = numColsA % 0x4u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          a1 = *pIn1;
-          c1 = *pIn2;
-
-          b1 = *(pIn1 + 1u);
-          d1 = *(pIn2 + 1u);
-
-          sumReal1 += a1 * c1;
-          sumImag1 += b1 * c1;
-
-          pIn1 += 2u;
-          pIn2 += 2 * numColsB;
-
-          sumReal2 -= b1 * d1;
-          sumImag2 += a1 * d1;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        sumReal1 += sumReal2;
-        sumImag1 += sumImag2;
-
-        /* Store the result in the destination buffer */
-        *px++ = sumReal1;
-        *px++ = sumImag1;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        j++;
-        pIn2 = pSrcB->pData + 2u * j;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-      /* Update the pointer pInA to point to the  starting address of the next row */
-      i = i + numColsB;
-      pInA = pInA + 2 * numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**      
- * @} end of MatrixMult group      
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
deleted file mode 100644
index 8e3fc06c..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
+++ /dev/null
@@ -1,424 +0,0 @@
-/* ----------------------------------------------------------------------      
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
-*      
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*      
-* Project:      CMSIS DSP Library 
-* Title:	    arm_cmplx_mat_mult_q15.c      
-*      
-* Description:	 Q15 complex matrix multiplication.      
-*      
-* Target Processor:          Cortex-M4/Cortex-M3/Cortex-M0
-*
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**      
- * @ingroup groupMatrix      
- */
-
-/**      
- * @addtogroup CmplxMatrixMult      
- * @{      
- */
-
-
-/**      
- * @brief Q15 Complex matrix multiplication      
- * @param[in]       *pSrcA points to the first input complex matrix structure      
- * @param[in]       *pSrcB points to the second input complex matrix structure      
- * @param[out]      *pDst points to output complex matrix structure      
- * @param[in]		*pScratch points to the array for storing intermediate results     
- * @return     		The function returns either      
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.         
- *  
- * \par Conditions for optimum performance  
- *  Input, output and state buffers should be aligned by 32-bit  
- *  
- * \par Restrictions  
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE  
- *	In this case input, output, scratch buffers should be aligned by 32-bit  
- *  
- * @details      
- * Scaling and Overflow Behavior:      
- *      
- * \par      
- * The function is implemented using a 64-bit internal accumulator. The inputs to the      
- * multiplications are in 1.15 format and multiplications yield a 2.30 result.      
- * The 2.30 intermediate      
- * results are accumulated in a 64-bit accumulator in 34.30 format. This approach      
- * provides 33 guard bits and there is no risk of overflow. The 34.30 result is then      
- * truncated to 34.15 format by discarding the low 15 bits and then saturated to      
- * 1.15 format.      
- *      
- * \par      
- * Refer to arm_mat_mult_fast_q15() for a faster but less precise version of this function.      
- *      
- */
-
-
-
-
-arm_status arm_mat_cmplx_mult_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst,
-  q15_t * pScratch)
-{
-  /* accumulator */
-  q15_t *pSrcBT = pScratch;                      /* input data matrix pointer for transpose */
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
-  q15_t *px;                                     /* Temporary output data matrix pointer */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  uint16_t numRowsB = pSrcB->numRows;            /* number of rows of input matrix A    */
-  uint16_t col, i = 0u, row = numRowsB, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-  q63_t sumReal, sumImag;
-
-#ifdef UNALIGNED_SUPPORT_DISABLE
-  q15_t in;                                      /* Temporary variable to hold the input value */
-  q15_t a, b, c, d;
-#else
-  q31_t in;                                      /* Temporary variable to hold the input value */
-  q31_t prod1, prod2;
-  q31_t pSourceA, pSourceB;
-#endif
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif
-  {
-    /* Matrix transpose */
-    do
-    {
-      /* Apply loop unrolling and exchange the columns with row elements */
-      col = numColsB >> 2;
-
-      /* The pointer px is set to starting address of the column being processed */
-      px = pSrcBT + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.      
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(col > 0u)
-      {
-#ifdef UNALIGNED_SUPPORT_DISABLE
-        /* Read two elements from the row */
-        in = *pInB++;
-        *px = in;
-        in = *pInB++;
-        px[1] = in;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB * 2;
-
-        /* Read two elements from the row */
-        in = *pInB++;
-        *px = in;
-        in = *pInB++;
-        px[1] = in;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB * 2;
-
-        /* Read two elements from the row */
-        in = *pInB++;
-        *px = in;
-        in = *pInB++;
-        px[1] = in;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB * 2;
-
-        /* Read two elements from the row */
-        in = *pInB++;
-        *px = in;
-        in = *pInB++;
-        px[1] = in;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB * 2;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.      
-       ** No loop unrolling is used. */
-      col = numColsB % 0x4u;
-
-      while(col > 0u)
-      {
-        /* Read two elements from the row */
-        in = *pInB++;
-        *px = in;
-        in = *pInB++;
-        px[1] = in;
-#else
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        *__SIMD32(px) = in;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB * 2;
-
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        *__SIMD32(px) = in;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB * 2;
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        *__SIMD32(px) = in;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB * 2;
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        *__SIMD32(px) = in;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB * 2;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.      
-       ** No loop unrolling is used. */
-      col = numColsB % 0x4u;
-
-      while(col > 0u)
-      {
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        *__SIMD32(px) = in;
-#endif
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB * 2;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      i = i + 2u;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* Reset the variables for the usage in the following multiplication process */
-    row = numRowsA;
-    i = 0u;
-    px = pDst->pData;
-
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set      
-       ** to the starting address of the transposed pSrcB data */
-      pInB = pSrcBT;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sumReal = 0;
-        sumImag = 0;
-
-        /* Apply loop unrolling and compute 2 MACs simultaneously. */
-        colCnt = numColsA >> 1;
-
-        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
-        pInA = pSrcA->pData + i * 2;
-
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-
-#ifdef UNALIGNED_SUPPORT_DISABLE
-
-          /* read real and imag values from pSrcA buffer */
-          a = *pInA;
-          b = *(pInA + 1u);
-          /* read real and imag values from pSrcB buffer */
-          c = *pInB;
-          d = *(pInB + 1u);
-
-          /* Multiply and Accumlates */
-          sumReal += (q31_t) a *c;
-          sumImag += (q31_t) a *d;
-          sumReal -= (q31_t) b *d;
-          sumImag += (q31_t) b *c;
-
-          /* read next real and imag values from pSrcA buffer */
-          a = *(pInA + 2u);
-          b = *(pInA + 3u);
-          /* read next real and imag values from pSrcB buffer */
-          c = *(pInB + 2u);
-          d = *(pInB + 3u);
-
-          /* update pointer */
-          pInA += 4u;
-
-          /* Multiply and Accumlates */
-          sumReal += (q31_t) a *c;
-          sumImag += (q31_t) a *d;
-          sumReal -= (q31_t) b *d;
-          sumImag += (q31_t) b *c;
-          /* update pointer */
-          pInB += 4u;
-#else
-          /* read real and imag values from pSrcA and pSrcB buffer */
-          pSourceA = *__SIMD32(pInA)++;
-          pSourceB = *__SIMD32(pInB)++;
-
-          /* Multiply and Accumlates */
-#ifdef ARM_MATH_BIG_ENDIAN
-          prod1 = -__SMUSD(pSourceA, pSourceB);
-#else
-          prod1 = __SMUSD(pSourceA, pSourceB);
-#endif
-          prod2 = __SMUADX(pSourceA, pSourceB);
-          sumReal += (q63_t) prod1;
-          sumImag += (q63_t) prod2;
-
-          /* read real and imag values from pSrcA and pSrcB buffer */
-          pSourceA = *__SIMD32(pInA)++;
-          pSourceB = *__SIMD32(pInB)++;
-
-          /* Multiply and Accumlates */
-#ifdef ARM_MATH_BIG_ENDIAN
-          prod1 = -__SMUSD(pSourceA, pSourceB);
-#else
-          prod1 = __SMUSD(pSourceA, pSourceB);
-#endif
-          prod2 = __SMUADX(pSourceA, pSourceB);
-          sumReal += (q63_t) prod1;
-          sumImag += (q63_t) prod2;
-
-#endif /*      #ifdef UNALIGNED_SUPPORT_DISABLE */
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* process odd column samples */
-        if((numColsA & 0x1u) > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-
-#ifdef UNALIGNED_SUPPORT_DISABLE
-
-          /* read real and imag values from pSrcA and pSrcB buffer */
-          a = *pInA++;
-          b = *pInA++;
-          c = *pInB++;
-          d = *pInB++;
-
-          /* Multiply and Accumlates */
-          sumReal += (q31_t) a *c;
-          sumImag += (q31_t) a *d;
-          sumReal -= (q31_t) b *d;
-          sumImag += (q31_t) b *c;
-
-#else
-          /* read real and imag values from pSrcA and pSrcB buffer */
-          pSourceA = *__SIMD32(pInA)++;
-          pSourceB = *__SIMD32(pInB)++;
-
-          /* Multiply and Accumlates */
-#ifdef ARM_MATH_BIG_ENDIAN
-          prod1 = -__SMUSD(pSourceA, pSourceB);
-#else
-          prod1 = __SMUSD(pSourceA, pSourceB);
-#endif
-          prod2 = __SMUADX(pSourceA, pSourceB);
-          sumReal += (q63_t) prod1;
-          sumImag += (q63_t) prod2;
-
-#endif /*      #ifdef UNALIGNED_SUPPORT_DISABLE */
-
-        }
-
-        /* Saturate and store the result in the destination buffer */
-
-        *px++ = (q15_t) (__SSAT(sumReal >> 15, 16));
-        *px++ = (q15_t) (__SSAT(sumImag >> 15, 16));
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-      i = i + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**      
- * @} end of MatrixMult group      
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
deleted file mode 100644
index 4dfe1fd5..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
+++ /dev/null
@@ -1,293 +0,0 @@
-/* ----------------------------------------------------------------------      
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
-*      
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*      
-* Project:      CMSIS DSP Library 
-* Title:	    arm_mat_cmplx_mult_q31.c      
-*      
-* Description:  Floating-point matrix multiplication.      
-*      
-* Target Processor:          Cortex-M4/Cortex-M3/Cortex-M0
-*
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**     
- * @ingroup groupMatrix     
- */
-
-/**      
- * @addtogroup CmplxMatrixMult      
- * @{      
- */
-
-/**      
- * @brief Q31 Complex matrix multiplication      
- * @param[in]       *pSrcA points to the first input complex matrix structure      
- * @param[in]       *pSrcB points to the second input complex matrix structure      
- * @param[out]      *pDst points to output complex matrix structure      
- * @return     		The function returns either      
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.      
- *      
- * @details      
- * Scaling and Overflow Behavior:      
- *      
- * \par      
- * The function is implemented using an internal 64-bit accumulator.      
- * The accumulator has a 2.62 format and maintains full precision of the intermediate      
- * multiplication results but provides only a single guard bit. There is no saturation      
- * on intermediate additions. Thus, if the accumulator overflows it wraps around and      
- * distorts the result. The input signals should be scaled down to avoid intermediate      
- * overflows. The input is thus scaled down by log2(numColsA) bits      
- * to avoid overflows, as a total of numColsA additions are performed internally.      
- * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.      
- *      
- *      
- */
-
-arm_status arm_mat_cmplx_mult_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A  */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q31_t *px;                                     /* Temporary output data matrix pointer */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  q63_t sumReal1, sumImag1;                      /* accumulator */
-  q31_t a0, b0, c0, d0;
-  q31_t a1, b1, c1, d1;
-
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + 2 * i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set     
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      j = 0u;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sumReal1 = 0.0;
-        sumImag1 = 0.0;
-
-        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
-        pIn1 = pInA;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        colCnt = numColsA >> 2;
-
-        /* matrix multiplication        */
-        while(colCnt > 0u)
-        {
-
-          /* Reading real part of complex matrix A */
-          a0 = *pIn1;
-
-          /* Reading real part of complex matrix B */
-          c0 = *pIn2;
-
-          /* Reading imaginary part of complex matrix A */
-          b0 = *(pIn1 + 1u);
-
-          /* Reading imaginary part of complex matrix B */
-          d0 = *(pIn2 + 1u);
-
-          /* Multiply and Accumlates */
-          sumReal1 += (q63_t) a0 *c0;
-          sumImag1 += (q63_t) b0 *c0;
-
-          /* update pointers */
-          pIn1 += 2u;
-          pIn2 += 2 * numColsB;
-
-          /* Multiply and Accumlates */
-          sumReal1 -= (q63_t) b0 *d0;
-          sumImag1 += (q63_t) a0 *d0;
-
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-
-          /* read real and imag values from pSrcA and pSrcB buffer */
-          a1 = *pIn1;
-          c1 = *pIn2;
-          b1 = *(pIn1 + 1u);
-          d1 = *(pIn2 + 1u);
-
-          /* Multiply and Accumlates */
-          sumReal1 += (q63_t) a1 *c1;
-          sumImag1 += (q63_t) b1 *c1;
-
-          /* update pointers */
-          pIn1 += 2u;
-          pIn2 += 2 * numColsB;
-
-          /* Multiply and Accumlates */
-          sumReal1 -= (q63_t) b1 *d1;
-          sumImag1 += (q63_t) a1 *d1;
-
-          a0 = *pIn1;
-          c0 = *pIn2;
-
-          b0 = *(pIn1 + 1u);
-          d0 = *(pIn2 + 1u);
-
-          /* Multiply and Accumlates */
-          sumReal1 += (q63_t) a0 *c0;
-          sumImag1 += (q63_t) b0 *c0;
-
-          /* update pointers */
-          pIn1 += 2u;
-          pIn2 += 2 * numColsB;
-
-          /* Multiply and Accumlates */
-          sumReal1 -= (q63_t) b0 *d0;
-          sumImag1 += (q63_t) a0 *d0;
-
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-
-          a1 = *pIn1;
-          c1 = *pIn2;
-
-          b1 = *(pIn1 + 1u);
-          d1 = *(pIn2 + 1u);
-
-          /* Multiply and Accumlates */
-          sumReal1 += (q63_t) a1 *c1;
-          sumImag1 += (q63_t) b1 *c1;
-
-          /* update pointers */
-          pIn1 += 2u;
-          pIn2 += 2 * numColsB;
-
-          /* Multiply and Accumlates */
-          sumReal1 -= (q63_t) b1 *d1;
-          sumImag1 += (q63_t) a1 *d1;
-
-          /* Decrement the loop count */
-          colCnt--;
-        }
-
-        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.     
-         ** No loop unrolling is used. */
-        colCnt = numColsA % 0x4u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          a1 = *pIn1;
-          c1 = *pIn2;
-
-          b1 = *(pIn1 + 1u);
-          d1 = *(pIn2 + 1u);
-
-          /* Multiply and Accumlates */
-          sumReal1 += (q63_t) a1 *c1;
-          sumImag1 += (q63_t) b1 *c1;
-
-          /* update pointers */
-          pIn1 += 2u;
-          pIn2 += 2 * numColsB;
-
-          /* Multiply and Accumlates */
-          sumReal1 -= (q63_t) b1 *d1;
-          sumImag1 += (q63_t) a1 *d1;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Store the result in the destination buffer */
-        *px++ = (q31_t) clip_q63_to_q31(sumReal1 >> 31);
-        *px++ = (q31_t) clip_q63_to_q31(sumImag1 >> 31);
-        
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        j++;
-        pIn2 = pSrcB->pData + 2u * j;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-      /* Update the pointer pInA to point to the  starting address of the next row */
-      i = i + numColsB;
-      pInA = pInA + 2 * numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**     
- * @} end of MatrixMult group     
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_f32.c
deleted file mode 100644
index 1a0e5e86..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_f32.c
+++ /dev/null
@@ -1,88 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_mat_init_f32.c    
-*    
-* Description:	Floating-point matrix initialization.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @defgroup MatrixInit Matrix Initialization    
- *    
- * Initializes the underlying matrix data structure.    
- * The functions set the numRows,    
- * numCols, and pData fields    
- * of the matrix data structure.    
- */
-
-/**    
- * @addtogroup MatrixInit    
- * @{    
- */
-
-/**    
-   * @brief  Floating-point matrix initialization.    
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.    
-   * @param[in]     nRows          number of rows in the matrix.    
-   * @param[in]     nColumns       number of columns in the matrix.    
-   * @param[in]     *pData	   points to the matrix data array.    
-   * @return        none    
-   */
-
-void arm_mat_init_f32(
-  arm_matrix_instance_f32 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  float32_t * pData)
-{
-  /* Assign Number of Rows */
-  S->numRows = nRows;
-
-  /* Assign Number of Columns */
-  S->numCols = nColumns;
-
-  /* Assign Data pointer */
-  S->pData = pData;
-}
-
-/**    
- * @} end of MatrixInit group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q15.c
deleted file mode 100644
index 33f2f785..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q15.c
+++ /dev/null
@@ -1,80 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_mat_init_q15.c    
-*    
-* Description:	Q15 matrix initialization.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixInit    
- * @{    
- */
-
-  /**    
-   * @brief  Q15 matrix initialization.    
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.    
-   * @param[in]     nRows          number of rows in the matrix.    
-   * @param[in]     nColumns       number of columns in the matrix.    
-   * @param[in]     *pData	   points to the matrix data array.    
-   * @return        none    
-   */
-
-void arm_mat_init_q15(
-  arm_matrix_instance_q15 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  q15_t * pData)
-{
-  /* Assign Number of Rows */
-  S->numRows = nRows;
-
-  /* Assign Number of Columns */
-  S->numCols = nColumns;
-
-  /* Assign Data pointer */
-  S->pData = pData;
-}
-
-/**    
- * @} end of MatrixInit group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q31.c
deleted file mode 100644
index 27c451a2..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q31.c
+++ /dev/null
@@ -1,84 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_mat_init_q31.c    
-*    
-* Description:	Q31 matrix initialization.    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @defgroup MatrixInit Matrix Initialization    
- *    
- */
-
-/**    
- * @addtogroup MatrixInit    
- * @{    
- */
-
-  /**    
-   * @brief  Q31 matrix initialization.    
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.    
-   * @param[in]     nRows          number of rows in the matrix.    
-   * @param[in]     nColumns       number of columns in the matrix.    
-   * @param[in]     *pData	   points to the matrix data array.    
-   * @return        none    
-   */
-
-void arm_mat_init_q31(
-  arm_matrix_instance_q31 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  q31_t * pData)
-{
-  /* Assign Number of Rows */
-  S->numRows = nRows;
-
-  /* Assign Number of Columns */
-  S->numCols = nColumns;
-
-  /* Assign Data pointer */
-  S->pData = pData;
-}
-
-/**    
- * @} end of MatrixInit group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f32.c
deleted file mode 100644
index 40b67ad8..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f32.c
+++ /dev/null
@@ -1,703 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_inverse_f32.c    
-*    
-* Description:	Floating-point matrix inverse.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @defgroup MatrixInv Matrix Inverse    
- *    
- * Computes the inverse of a matrix.    
- *    
- * The inverse is defined only if the input matrix is square and non-singular (the determinant    
- * is non-zero). The function checks that the input and output matrices are square and of the    
- * same size.    
- *    
- * Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix    
- * inversion of floating-point matrices.    
- *    
- * \par Algorithm    
- * The Gauss-Jordan method is used to find the inverse.    
- * The algorithm performs a sequence of elementary row-operations until it    
- * reduces the input matrix to an identity matrix. Applying the same sequence    
- * of elementary row-operations to an identity matrix yields the inverse matrix.    
- * If the input matrix is singular, then the algorithm terminates and returns error status    
- * ARM_MATH_SINGULAR.    
- * \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method"    
- */
-
-/**    
- * @addtogroup MatrixInv    
- * @{    
- */
-
-/**    
- * @brief Floating-point matrix inverse.    
- * @param[in]       *pSrc points to input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns    
- * ARM_MATH_SIZE_MISMATCH if the input matrix is not square or if the size    
- * of the output matrix does not match the size of the input matrix.    
- * If the input matrix is found to be singular (non-invertible), then the function returns    
- * ARM_MATH_SINGULAR.  Otherwise, the function returns ARM_MATH_SUCCESS.    
- */
-
-arm_status arm_mat_inverse_f32(
-  const arm_matrix_instance_f32 * pSrc,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
-  float32_t *pInT1, *pInT2;                      /* Temporary input data matrix pointer */
-  float32_t *pOutT1, *pOutT2;                    /* Temporary output data matrix pointer */
-  float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst;  /* Temporary input and output data matrix pointer */
-  uint32_t numRows = pSrc->numRows;              /* Number of rows in the matrix  */
-  uint32_t numCols = pSrc->numCols;              /* Number of Cols in the matrix  */
-
-#ifndef ARM_MATH_CM0_FAMILY
-  float32_t maxC;                                /* maximum value in the column */
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t Xchg, in = 0.0f, in1;                /* Temporary input values  */
-  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
-  arm_status status;                             /* status of matrix inverse */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
-     || (pSrc->numRows != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-
-    /*--------------------------------------------------------------------------------------------------------------    
-	 * Matrix Inverse can be solved using elementary row operations.    
-	 *    
-	 *	Gauss-Jordan Method:    
-	 *    
-	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an    
-	 *        augmented matrix as follows:    
-	 *				        _ 	      	       _         _	       _    
-	 *					   |  a11  a12 | 1   0  |       |  X11 X12  |    
-	 *					   |           |        |   =   |           |    
-	 *					   |_ a21  a22 | 0   1 _|       |_ X21 X21 _|    
-	 *    
-	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
-	 *    
-	 *		3. Begin with the first row. Let i = 1.    
-	 *    
-	 *	    4. Check to see if the pivot for column i is the greatest of the column.    
-	 *		   The pivot is the element of the main diagonal that is on the current row.    
-	 *		   For instance, if working with row i, then the pivot element is aii.    
-	 *		   If the pivot is not the most significant of the columns, exchange that row with a row
-	 *		   below it that does contain the most significant value in column i. If the most
-	 *         significant value of the column is zero, then an inverse to that matrix does not exist.
-	 *		   The most significant value of the column is the absolute maximum.
-	 *    
-	 *	    5. Divide every element of row i by the pivot.    
-	 *    
-	 *	    6. For every row below and  row i, replace that row with the sum of that row and    
-	 *		   a multiple of row i so that each new element in column i below row i is zero.    
-	 *    
-	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros    
-	 *		   for every element below and above the main diagonal.    
-	 *    
-	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).    
-	 *		   Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).    
-	 *----------------------------------------------------------------------------------------------------------------*/
-
-    /* Working pointer for destination matrix */
-    pOutT1 = pOut;
-
-    /* Loop over the number of rows */
-    rowCnt = numRows;
-
-    /* Making the destination matrix as identity matrix */
-    while(rowCnt > 0u)
-    {
-      /* Writing all zeroes in lower triangle of the destination matrix */
-      j = numRows - rowCnt;
-      while(j > 0u)
-      {
-        *pOutT1++ = 0.0f;
-        j--;
-      }
-
-      /* Writing all ones in the diagonal of the destination matrix */
-      *pOutT1++ = 1.0f;
-
-      /* Writing all zeroes in upper triangle of the destination matrix */
-      j = rowCnt - 1u;
-      while(j > 0u)
-      {
-        *pOutT1++ = 0.0f;
-        j--;
-      }
-
-      /* Decrement the loop counter */
-      rowCnt--;
-    }
-
-    /* Loop over the number of columns of the input matrix.    
-       All the elements in each column are processed by the row operations */
-    loopCnt = numCols;
-
-    /* Index modifier to navigate through the columns */
-    l = 0u;
-
-    while(loopCnt > 0u)
-    {
-      /* Check if the pivot element is zero..    
-       * If it is zero then interchange the row with non zero row below.    
-       * If there is no non zero element to replace in the rows below,    
-       * then the matrix is Singular. */
-
-      /* Working pointer for the input matrix that points    
-       * to the pivot element of the particular row  */
-      pInT1 = pIn + (l * numCols);
-
-      /* Working pointer for the destination matrix that points    
-       * to the pivot element of the particular row  */
-      pOutT1 = pOut + (l * numCols);
-
-      /* Temporary variable to hold the pivot value */
-      in = *pInT1;
-
-      /* Grab the most significant value from column l */
-      maxC = 0;
-      for (i = l; i < numRows; i++)
-      {
-        maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC);
-        pInT1 += numCols;
-      }
-
-      /* Update the status if the matrix is singular */
-      if(maxC == 0.0f)
-      {
-        return ARM_MATH_SINGULAR;
-      }
-
-      /* Restore pInT1  */
-      pInT1 = pIn;
-
-      /* Destination pointer modifier */
-      k = 1u;
-      
-      /* Check if the pivot element is the most significant of the column */
-      if( (in > 0.0f ? in : -in) != maxC)
-      {
-        /* Loop over the number rows present below */
-        i = numRows - (l + 1u);
-
-        while(i > 0u)
-        {
-          /* Update the input and destination pointers */
-          pInT2 = pInT1 + (numCols * l);
-          pOutT2 = pOutT1 + (numCols * k);
-
-          /* Look for the most significant element to    
-           * replace in the rows below */
-          if((*pInT2 > 0.0f ? *pInT2: -*pInT2) == maxC)
-          {
-            /* Loop over number of columns    
-             * to the right of the pilot element */
-            j = numCols - l;
-
-            while(j > 0u)
-            {
-              /* Exchange the row elements of the input matrix */
-              Xchg = *pInT2;
-              *pInT2++ = *pInT1;
-              *pInT1++ = Xchg;
-
-              /* Decrement the loop counter */
-              j--;
-            }
-
-            /* Loop over number of columns of the destination matrix */
-            j = numCols;
-
-            while(j > 0u)
-            {
-              /* Exchange the row elements of the destination matrix */
-              Xchg = *pOutT2;
-              *pOutT2++ = *pOutT1;
-              *pOutT1++ = Xchg;
-
-              /* Decrement the loop counter */
-              j--;
-            }
-
-            /* Flag to indicate whether exchange is done or not */
-            flag = 1u;
-
-            /* Break after exchange is done */
-            break;
-          }
-
-          /* Update the destination pointer modifier */
-          k++;
-
-          /* Decrement the loop counter */
-          i--;
-        }
-      }
-
-      /* Update the status if the matrix is singular */
-      if((flag != 1u) && (in == 0.0f))
-      {
-        return ARM_MATH_SINGULAR;
-      }
-
-      /* Points to the pivot row of input and destination matrices */
-      pPivotRowIn = pIn + (l * numCols);
-      pPivotRowDst = pOut + (l * numCols);
-
-      /* Temporary pointers to the pivot row pointers */
-      pInT1 = pPivotRowIn;
-      pInT2 = pPivotRowDst;
-
-      /* Pivot element of the row */
-      in = *pPivotRowIn;
-
-      /* Loop over number of columns    
-       * to the right of the pilot element */
-      j = (numCols - l);
-
-      while(j > 0u)
-      {
-        /* Divide each element of the row of the input matrix    
-         * by the pivot element */
-        in1 = *pInT1;
-        *pInT1++ = in1 / in;
-
-        /* Decrement the loop counter */
-        j--;
-      }
-
-      /* Loop over number of columns of the destination matrix */
-      j = numCols;
-
-      while(j > 0u)
-      {
-        /* Divide each element of the row of the destination matrix    
-         * by the pivot element */
-        in1 = *pInT2;
-        *pInT2++ = in1 / in;
-
-        /* Decrement the loop counter */
-        j--;
-      }
-
-      /* Replace the rows with the sum of that row and a multiple of row i    
-       * so that each new element in column i above row i is zero.*/
-
-      /* Temporary pointers for input and destination matrices */
-      pInT1 = pIn;
-      pInT2 = pOut;
-
-      /* index used to check for pivot element */
-      i = 0u;
-
-      /* Loop over number of rows */
-      /*  to be replaced by the sum of that row and a multiple of row i */
-      k = numRows;
-
-      while(k > 0u)
-      {
-        /* Check for the pivot element */
-        if(i == l)
-        {
-          /* If the processing element is the pivot element,    
-             only the columns to the right are to be processed */
-          pInT1 += numCols - l;
-
-          pInT2 += numCols;
-        }
-        else
-        {
-          /* Element of the reference row */
-          in = *pInT1;
-
-          /* Working pointers for input and destination pivot rows */
-          pPRT_in = pPivotRowIn;
-          pPRT_pDst = pPivotRowDst;
-
-          /* Loop over the number of columns to the right of the pivot element,    
-             to replace the elements in the input matrix */
-          j = (numCols - l);
-
-          while(j > 0u)
-          {
-            /* Replace the element by the sum of that row    
-               and a multiple of the reference row  */
-            in1 = *pInT1;
-            *pInT1++ = in1 - (in * *pPRT_in++);
-
-            /* Decrement the loop counter */
-            j--;
-          }
-
-          /* Loop over the number of columns to    
-             replace the elements in the destination matrix */
-          j = numCols;
-
-          while(j > 0u)
-          {
-            /* Replace the element by the sum of that row    
-               and a multiple of the reference row  */
-            in1 = *pInT2;
-            *pInT2++ = in1 - (in * *pPRT_pDst++);
-
-            /* Decrement the loop counter */
-            j--;
-          }
-
-        }
-
-        /* Increment the temporary input pointer */
-        pInT1 = pInT1 + l;
-
-        /* Decrement the loop counter */
-        k--;
-
-        /* Increment the pivot index */
-        i++;
-      }
-
-      /* Increment the input pointer */
-      pIn++;
-
-      /* Decrement the loop counter */
-      loopCnt--;
-
-      /* Increment the index modifier */
-      l++;
-    }
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t Xchg, in = 0.0f;                     /* Temporary input values  */
-  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
-  arm_status status;                             /* status of matrix inverse */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
-     || (pSrc->numRows != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-  {
-
-    /*--------------------------------------------------------------------------------------------------------------       
-	 * Matrix Inverse can be solved using elementary row operations.        
-	 *        
-	 *	Gauss-Jordan Method:       
-	 *	 	       
-	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an        
-	 *        augmented matrix as follows:        
-	 *				        _  _	      _	    _	   _   _         _	       _       
-	 *					   |  |  a11  a12  | | | 1   0  |   |       |  X11 X12  |         
-	 *					   |  |            | | |        |   |   =   |           |        
-	 *					   |_ |_ a21  a22 _| | |_0   1 _|  _|       |_ X21 X21 _|       
-	 *					          
-	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
-	 *       
-	 *		3. Begin with the first row. Let i = 1.       
-	 *       
-	 *	    4. Check to see if the pivot for row i is zero.       
-	 *		   The pivot is the element of the main diagonal that is on the current row.       
-	 *		   For instance, if working with row i, then the pivot element is aii.       
-	 *		   If the pivot is zero, exchange that row with a row below it that does not        
-	 *		   contain a zero in column i. If this is not possible, then an inverse        
-	 *		   to that matrix does not exist.       
-	 *	       
-	 *	    5. Divide every element of row i by the pivot.       
-	 *	       
-	 *	    6. For every row below and  row i, replace that row with the sum of that row and        
-	 *		   a multiple of row i so that each new element in column i below row i is zero.       
-	 *	       
-	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros       
-	 *		   for every element below and above the main diagonal.        
-	 *		   		          
-	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, src).       
-	 *		   Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).         
-	 *----------------------------------------------------------------------------------------------------------------*/
-
-    /* Working pointer for destination matrix */
-    pOutT1 = pOut;
-
-    /* Loop over the number of rows */
-    rowCnt = numRows;
-
-    /* Making the destination matrix as identity matrix */
-    while(rowCnt > 0u)
-    {
-      /* Writing all zeroes in lower triangle of the destination matrix */
-      j = numRows - rowCnt;
-      while(j > 0u)
-      {
-        *pOutT1++ = 0.0f;
-        j--;
-      }
-
-      /* Writing all ones in the diagonal of the destination matrix */
-      *pOutT1++ = 1.0f;
-
-      /* Writing all zeroes in upper triangle of the destination matrix */
-      j = rowCnt - 1u;
-      while(j > 0u)
-      {
-        *pOutT1++ = 0.0f;
-        j--;
-      }
-
-      /* Decrement the loop counter */
-      rowCnt--;
-    }
-
-    /* Loop over the number of columns of the input matrix.     
-       All the elements in each column are processed by the row operations */
-    loopCnt = numCols;
-
-    /* Index modifier to navigate through the columns */
-    l = 0u;
-    //for(loopCnt = 0u; loopCnt < numCols; loopCnt++)   
-    while(loopCnt > 0u)
-    {
-      /* Check if the pivot element is zero..    
-       * If it is zero then interchange the row with non zero row below.   
-       * If there is no non zero element to replace in the rows below,   
-       * then the matrix is Singular. */
-
-      /* Working pointer for the input matrix that points     
-       * to the pivot element of the particular row  */
-      pInT1 = pIn + (l * numCols);
-
-      /* Working pointer for the destination matrix that points     
-       * to the pivot element of the particular row  */
-      pOutT1 = pOut + (l * numCols);
-
-      /* Temporary variable to hold the pivot value */
-      in = *pInT1;
-
-      /* Destination pointer modifier */
-      k = 1u;
-
-      /* Check if the pivot element is zero */
-      if(*pInT1 == 0.0f)
-      {
-        /* Loop over the number rows present below */
-        for (i = (l + 1u); i < numRows; i++)
-        {
-          /* Update the input and destination pointers */
-          pInT2 = pInT1 + (numCols * l);
-          pOutT2 = pOutT1 + (numCols * k);
-
-          /* Check if there is a non zero pivot element to     
-           * replace in the rows below */
-          if(*pInT2 != 0.0f)
-          {
-            /* Loop over number of columns     
-             * to the right of the pilot element */
-            for (j = 0u; j < (numCols - l); j++)
-            {
-              /* Exchange the row elements of the input matrix */
-              Xchg = *pInT2;
-              *pInT2++ = *pInT1;
-              *pInT1++ = Xchg;
-            }
-
-            for (j = 0u; j < numCols; j++)
-            {
-              Xchg = *pOutT2;
-              *pOutT2++ = *pOutT1;
-              *pOutT1++ = Xchg;
-            }
-
-            /* Flag to indicate whether exchange is done or not */
-            flag = 1u;
-
-            /* Break after exchange is done */
-            break;
-          }
-
-          /* Update the destination pointer modifier */
-          k++;
-        }
-      }
-
-      /* Update the status if the matrix is singular */
-      if((flag != 1u) && (in == 0.0f))
-      {
-        return ARM_MATH_SINGULAR;
-      }
-
-      /* Points to the pivot row of input and destination matrices */
-      pPivotRowIn = pIn + (l * numCols);
-      pPivotRowDst = pOut + (l * numCols);
-
-      /* Temporary pointers to the pivot row pointers */
-      pInT1 = pPivotRowIn;
-      pOutT1 = pPivotRowDst;
-
-      /* Pivot element of the row */
-      in = *(pIn + (l * numCols));
-
-      /* Loop over number of columns     
-       * to the right of the pilot element */
-      for (j = 0u; j < (numCols - l); j++)
-      {
-        /* Divide each element of the row of the input matrix     
-         * by the pivot element */
-        *pInT1 = *pInT1 / in;
-        pInT1++;
-      }
-      for (j = 0u; j < numCols; j++)
-      {
-        /* Divide each element of the row of the destination matrix     
-         * by the pivot element */
-        *pOutT1 = *pOutT1 / in;
-        pOutT1++;
-      }
-
-      /* Replace the rows with the sum of that row and a multiple of row i     
-       * so that each new element in column i above row i is zero.*/
-
-      /* Temporary pointers for input and destination matrices */
-      pInT1 = pIn;
-      pOutT1 = pOut;
-
-      for (i = 0u; i < numRows; i++)
-      {
-        /* Check for the pivot element */
-        if(i == l)
-        {
-          /* If the processing element is the pivot element,     
-             only the columns to the right are to be processed */
-          pInT1 += numCols - l;
-          pOutT1 += numCols;
-        }
-        else
-        {
-          /* Element of the reference row */
-          in = *pInT1;
-
-          /* Working pointers for input and destination pivot rows */
-          pPRT_in = pPivotRowIn;
-          pPRT_pDst = pPivotRowDst;
-
-          /* Loop over the number of columns to the right of the pivot element,     
-             to replace the elements in the input matrix */
-          for (j = 0u; j < (numCols - l); j++)
-          {
-            /* Replace the element by the sum of that row     
-               and a multiple of the reference row  */
-            *pInT1 = *pInT1 - (in * *pPRT_in++);
-            pInT1++;
-          }
-          /* Loop over the number of columns to     
-             replace the elements in the destination matrix */
-          for (j = 0u; j < numCols; j++)
-          {
-            /* Replace the element by the sum of that row     
-               and a multiple of the reference row  */
-            *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
-            pOutT1++;
-          }
-
-        }
-        /* Increment the temporary input pointer */
-        pInT1 = pInT1 + l;
-      }
-      /* Increment the input pointer */
-      pIn++;
-
-      /* Decrement the loop counter */
-      loopCnt--;
-      /* Increment the index modifier */
-      l++;
-    }
-
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-    if((flag != 1u) && (in == 0.0f))
-    {
-      pIn = pSrc->pData;
-      for (i = 0; i < numRows * numCols; i++)
-      {
-        if (pIn[i] != 0.0f)
-            break;
-      }
-      
-      if (i == numRows * numCols)
-        status = ARM_MATH_SINGULAR;
-    }
-  }
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixInv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f64.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f64.c
deleted file mode 100644
index a6c4980e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f64.c
+++ /dev/null
@@ -1,703 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_inverse_f64.c    
-*    
-* Description:	Floating-point matrix inverse.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @defgroup MatrixInv Matrix Inverse    
- *    
- * Computes the inverse of a matrix.    
- *    
- * The inverse is defined only if the input matrix is square and non-singular (the determinant    
- * is non-zero). The function checks that the input and output matrices are square and of the    
- * same size.    
- *    
- * Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix    
- * inversion of floating-point matrices.    
- *    
- * \par Algorithm    
- * The Gauss-Jordan method is used to find the inverse.    
- * The algorithm performs a sequence of elementary row-operations until it    
- * reduces the input matrix to an identity matrix. Applying the same sequence    
- * of elementary row-operations to an identity matrix yields the inverse matrix.    
- * If the input matrix is singular, then the algorithm terminates and returns error status    
- * ARM_MATH_SINGULAR.    
- * \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method"    
- */
-
-/**    
- * @addtogroup MatrixInv    
- * @{    
- */
-
-/**    
- * @brief Floating-point matrix inverse.    
- * @param[in]       *pSrc points to input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns    
- * ARM_MATH_SIZE_MISMATCH if the input matrix is not square or if the size    
- * of the output matrix does not match the size of the input matrix.    
- * If the input matrix is found to be singular (non-invertible), then the function returns    
- * ARM_MATH_SINGULAR.  Otherwise, the function returns ARM_MATH_SUCCESS.    
- */
-
-arm_status arm_mat_inverse_f64(
-  const arm_matrix_instance_f64 * pSrc,
-  arm_matrix_instance_f64 * pDst)
-{
-  float64_t *pIn = pSrc->pData;                  /* input data matrix pointer */
-  float64_t *pOut = pDst->pData;                 /* output data matrix pointer */
-  float64_t *pInT1, *pInT2;                      /* Temporary input data matrix pointer */
-  float64_t *pOutT1, *pOutT2;                    /* Temporary output data matrix pointer */
-  float64_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst;  /* Temporary input and output data matrix pointer */
-  uint32_t numRows = pSrc->numRows;              /* Number of rows in the matrix  */
-  uint32_t numCols = pSrc->numCols;              /* Number of Cols in the matrix  */
-
-#ifndef ARM_MATH_CM0_FAMILY
-  float64_t maxC;                                /* maximum value in the column */
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float64_t Xchg, in = 0.0f, in1;                /* Temporary input values  */
-  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
-  arm_status status;                             /* status of matrix inverse */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
-     || (pSrc->numRows != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-
-    /*--------------------------------------------------------------------------------------------------------------    
-	 * Matrix Inverse can be solved using elementary row operations.    
-	 *    
-	 *	Gauss-Jordan Method:    
-	 *    
-	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an    
-	 *        augmented matrix as follows:    
-	 *				        _ 	      	       _         _	       _    
-	 *					   |  a11  a12 | 1   0  |       |  X11 X12  |    
-	 *					   |           |        |   =   |           |    
-	 *					   |_ a21  a22 | 0   1 _|       |_ X21 X21 _|    
-	 *    
-	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
-	 *    
-	 *		3. Begin with the first row. Let i = 1.    
-	 *    
-	 *	    4. Check to see if the pivot for column i is the greatest of the column.    
-	 *		   The pivot is the element of the main diagonal that is on the current row.    
-	 *		   For instance, if working with row i, then the pivot element is aii.    
-	 *		   If the pivot is not the most significant of the columns, exchange that row with a row
-	 *		   below it that does contain the most significant value in column i. If the most
-	 *         significant value of the column is zero, then an inverse to that matrix does not exist.
-	 *		   The most significant value of the column is the absolute maximum.
-	 *    
-	 *	    5. Divide every element of row i by the pivot.    
-	 *    
-	 *	    6. For every row below and  row i, replace that row with the sum of that row and    
-	 *		   a multiple of row i so that each new element in column i below row i is zero.    
-	 *    
-	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros    
-	 *		   for every element below and above the main diagonal.    
-	 *    
-	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).    
-	 *		   Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).    
-	 *----------------------------------------------------------------------------------------------------------------*/
-
-    /* Working pointer for destination matrix */
-    pOutT1 = pOut;
-
-    /* Loop over the number of rows */
-    rowCnt = numRows;
-
-    /* Making the destination matrix as identity matrix */
-    while(rowCnt > 0u)
-    {
-      /* Writing all zeroes in lower triangle of the destination matrix */
-      j = numRows - rowCnt;
-      while(j > 0u)
-      {
-        *pOutT1++ = 0.0f;
-        j--;
-      }
-
-      /* Writing all ones in the diagonal of the destination matrix */
-      *pOutT1++ = 1.0f;
-
-      /* Writing all zeroes in upper triangle of the destination matrix */
-      j = rowCnt - 1u;
-      while(j > 0u)
-      {
-        *pOutT1++ = 0.0f;
-        j--;
-      }
-
-      /* Decrement the loop counter */
-      rowCnt--;
-    }
-
-    /* Loop over the number of columns of the input matrix.    
-       All the elements in each column are processed by the row operations */
-    loopCnt = numCols;
-
-    /* Index modifier to navigate through the columns */
-    l = 0u;
-
-    while(loopCnt > 0u)
-    {
-      /* Check if the pivot element is zero..    
-       * If it is zero then interchange the row with non zero row below.    
-       * If there is no non zero element to replace in the rows below,    
-       * then the matrix is Singular. */
-
-      /* Working pointer for the input matrix that points    
-       * to the pivot element of the particular row  */
-      pInT1 = pIn + (l * numCols);
-
-      /* Working pointer for the destination matrix that points    
-       * to the pivot element of the particular row  */
-      pOutT1 = pOut + (l * numCols);
-
-      /* Temporary variable to hold the pivot value */
-      in = *pInT1;
-
-      /* Grab the most significant value from column l */
-      maxC = 0;
-      for (i = l; i < numRows; i++)
-      {
-        maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC);
-        pInT1 += numCols;
-      }
-
-      /* Update the status if the matrix is singular */
-      if(maxC == 0.0f)
-      {
-        return ARM_MATH_SINGULAR;
-      }
-
-      /* Restore pInT1  */
-      pInT1 = pIn;
-
-      /* Destination pointer modifier */
-      k = 1u;
-      
-      /* Check if the pivot element is the most significant of the column */
-      if( (in > 0.0f ? in : -in) != maxC)
-      {
-        /* Loop over the number rows present below */
-        i = numRows - (l + 1u);
-
-        while(i > 0u)
-        {
-          /* Update the input and destination pointers */
-          pInT2 = pInT1 + (numCols * l);
-          pOutT2 = pOutT1 + (numCols * k);
-
-          /* Look for the most significant element to    
-           * replace in the rows below */
-          if((*pInT2 > 0.0f ? *pInT2: -*pInT2) == maxC)
-          {
-            /* Loop over number of columns    
-             * to the right of the pilot element */
-            j = numCols - l;
-
-            while(j > 0u)
-            {
-              /* Exchange the row elements of the input matrix */
-              Xchg = *pInT2;
-              *pInT2++ = *pInT1;
-              *pInT1++ = Xchg;
-
-              /* Decrement the loop counter */
-              j--;
-            }
-
-            /* Loop over number of columns of the destination matrix */
-            j = numCols;
-
-            while(j > 0u)
-            {
-              /* Exchange the row elements of the destination matrix */
-              Xchg = *pOutT2;
-              *pOutT2++ = *pOutT1;
-              *pOutT1++ = Xchg;
-
-              /* Decrement the loop counter */
-              j--;
-            }
-
-            /* Flag to indicate whether exchange is done or not */
-            flag = 1u;
-
-            /* Break after exchange is done */
-            break;
-          }
-
-          /* Update the destination pointer modifier */
-          k++;
-
-          /* Decrement the loop counter */
-          i--;
-        }
-      }
-
-      /* Update the status if the matrix is singular */
-      if((flag != 1u) && (in == 0.0f))
-      {
-        return ARM_MATH_SINGULAR;
-      }
-
-      /* Points to the pivot row of input and destination matrices */
-      pPivotRowIn = pIn + (l * numCols);
-      pPivotRowDst = pOut + (l * numCols);
-
-      /* Temporary pointers to the pivot row pointers */
-      pInT1 = pPivotRowIn;
-      pInT2 = pPivotRowDst;
-
-      /* Pivot element of the row */
-      in = *pPivotRowIn;
-
-      /* Loop over number of columns    
-       * to the right of the pilot element */
-      j = (numCols - l);
-
-      while(j > 0u)
-      {
-        /* Divide each element of the row of the input matrix    
-         * by the pivot element */
-        in1 = *pInT1;
-        *pInT1++ = in1 / in;
-
-        /* Decrement the loop counter */
-        j--;
-      }
-
-      /* Loop over number of columns of the destination matrix */
-      j = numCols;
-
-      while(j > 0u)
-      {
-        /* Divide each element of the row of the destination matrix    
-         * by the pivot element */
-        in1 = *pInT2;
-        *pInT2++ = in1 / in;
-
-        /* Decrement the loop counter */
-        j--;
-      }
-
-      /* Replace the rows with the sum of that row and a multiple of row i    
-       * so that each new element in column i above row i is zero.*/
-
-      /* Temporary pointers for input and destination matrices */
-      pInT1 = pIn;
-      pInT2 = pOut;
-
-      /* index used to check for pivot element */
-      i = 0u;
-
-      /* Loop over number of rows */
-      /*  to be replaced by the sum of that row and a multiple of row i */
-      k = numRows;
-
-      while(k > 0u)
-      {
-        /* Check for the pivot element */
-        if(i == l)
-        {
-          /* If the processing element is the pivot element,    
-             only the columns to the right are to be processed */
-          pInT1 += numCols - l;
-
-          pInT2 += numCols;
-        }
-        else
-        {
-          /* Element of the reference row */
-          in = *pInT1;
-
-          /* Working pointers for input and destination pivot rows */
-          pPRT_in = pPivotRowIn;
-          pPRT_pDst = pPivotRowDst;
-
-          /* Loop over the number of columns to the right of the pivot element,    
-             to replace the elements in the input matrix */
-          j = (numCols - l);
-
-          while(j > 0u)
-          {
-            /* Replace the element by the sum of that row    
-               and a multiple of the reference row  */
-            in1 = *pInT1;
-            *pInT1++ = in1 - (in * *pPRT_in++);
-
-            /* Decrement the loop counter */
-            j--;
-          }
-
-          /* Loop over the number of columns to    
-             replace the elements in the destination matrix */
-          j = numCols;
-
-          while(j > 0u)
-          {
-            /* Replace the element by the sum of that row    
-               and a multiple of the reference row  */
-            in1 = *pInT2;
-            *pInT2++ = in1 - (in * *pPRT_pDst++);
-
-            /* Decrement the loop counter */
-            j--;
-          }
-
-        }
-
-        /* Increment the temporary input pointer */
-        pInT1 = pInT1 + l;
-
-        /* Decrement the loop counter */
-        k--;
-
-        /* Increment the pivot index */
-        i++;
-      }
-
-      /* Increment the input pointer */
-      pIn++;
-
-      /* Decrement the loop counter */
-      loopCnt--;
-
-      /* Increment the index modifier */
-      l++;
-    }
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float64_t Xchg, in = 0.0f;                     /* Temporary input values  */
-  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
-  arm_status status;                             /* status of matrix inverse */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
-     || (pSrc->numRows != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-  {
-
-    /*--------------------------------------------------------------------------------------------------------------       
-	 * Matrix Inverse can be solved using elementary row operations.        
-	 *        
-	 *	Gauss-Jordan Method:       
-	 *	 	       
-	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an        
-	 *        augmented matrix as follows:        
-	 *				        _  _	      _	    _	   _   _         _	       _       
-	 *					   |  |  a11  a12  | | | 1   0  |   |       |  X11 X12  |         
-	 *					   |  |            | | |        |   |   =   |           |        
-	 *					   |_ |_ a21  a22 _| | |_0   1 _|  _|       |_ X21 X21 _|       
-	 *					          
-	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
-	 *       
-	 *		3. Begin with the first row. Let i = 1.       
-	 *       
-	 *	    4. Check to see if the pivot for row i is zero.       
-	 *		   The pivot is the element of the main diagonal that is on the current row.       
-	 *		   For instance, if working with row i, then the pivot element is aii.       
-	 *		   If the pivot is zero, exchange that row with a row below it that does not        
-	 *		   contain a zero in column i. If this is not possible, then an inverse        
-	 *		   to that matrix does not exist.       
-	 *	       
-	 *	    5. Divide every element of row i by the pivot.       
-	 *	       
-	 *	    6. For every row below and  row i, replace that row with the sum of that row and        
-	 *		   a multiple of row i so that each new element in column i below row i is zero.       
-	 *	       
-	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros       
-	 *		   for every element below and above the main diagonal.        
-	 *		   		          
-	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, src).       
-	 *		   Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).         
-	 *----------------------------------------------------------------------------------------------------------------*/
-
-    /* Working pointer for destination matrix */
-    pOutT1 = pOut;
-
-    /* Loop over the number of rows */
-    rowCnt = numRows;
-
-    /* Making the destination matrix as identity matrix */
-    while(rowCnt > 0u)
-    {
-      /* Writing all zeroes in lower triangle of the destination matrix */
-      j = numRows - rowCnt;
-      while(j > 0u)
-      {
-        *pOutT1++ = 0.0f;
-        j--;
-      }
-
-      /* Writing all ones in the diagonal of the destination matrix */
-      *pOutT1++ = 1.0f;
-
-      /* Writing all zeroes in upper triangle of the destination matrix */
-      j = rowCnt - 1u;
-      while(j > 0u)
-      {
-        *pOutT1++ = 0.0f;
-        j--;
-      }
-
-      /* Decrement the loop counter */
-      rowCnt--;
-    }
-
-    /* Loop over the number of columns of the input matrix.     
-       All the elements in each column are processed by the row operations */
-    loopCnt = numCols;
-
-    /* Index modifier to navigate through the columns */
-    l = 0u;
-    //for(loopCnt = 0u; loopCnt < numCols; loopCnt++)   
-    while(loopCnt > 0u)
-    {
-      /* Check if the pivot element is zero..    
-       * If it is zero then interchange the row with non zero row below.   
-       * If there is no non zero element to replace in the rows below,   
-       * then the matrix is Singular. */
-
-      /* Working pointer for the input matrix that points     
-       * to the pivot element of the particular row  */
-      pInT1 = pIn + (l * numCols);
-
-      /* Working pointer for the destination matrix that points     
-       * to the pivot element of the particular row  */
-      pOutT1 = pOut + (l * numCols);
-
-      /* Temporary variable to hold the pivot value */
-      in = *pInT1;
-
-      /* Destination pointer modifier */
-      k = 1u;
-
-      /* Check if the pivot element is zero */
-      if(*pInT1 == 0.0f)
-      {
-        /* Loop over the number rows present below */
-        for (i = (l + 1u); i < numRows; i++)
-        {
-          /* Update the input and destination pointers */
-          pInT2 = pInT1 + (numCols * l);
-          pOutT2 = pOutT1 + (numCols * k);
-
-          /* Check if there is a non zero pivot element to     
-           * replace in the rows below */
-          if(*pInT2 != 0.0f)
-          {
-            /* Loop over number of columns     
-             * to the right of the pilot element */
-            for (j = 0u; j < (numCols - l); j++)
-            {
-              /* Exchange the row elements of the input matrix */
-              Xchg = *pInT2;
-              *pInT2++ = *pInT1;
-              *pInT1++ = Xchg;
-            }
-
-            for (j = 0u; j < numCols; j++)
-            {
-              Xchg = *pOutT2;
-              *pOutT2++ = *pOutT1;
-              *pOutT1++ = Xchg;
-            }
-
-            /* Flag to indicate whether exchange is done or not */
-            flag = 1u;
-
-            /* Break after exchange is done */
-            break;
-          }
-
-          /* Update the destination pointer modifier */
-          k++;
-        }
-      }
-
-      /* Update the status if the matrix is singular */
-      if((flag != 1u) && (in == 0.0f))
-      {
-        return ARM_MATH_SINGULAR;
-      }
-
-      /* Points to the pivot row of input and destination matrices */
-      pPivotRowIn = pIn + (l * numCols);
-      pPivotRowDst = pOut + (l * numCols);
-
-      /* Temporary pointers to the pivot row pointers */
-      pInT1 = pPivotRowIn;
-      pOutT1 = pPivotRowDst;
-
-      /* Pivot element of the row */
-      in = *(pIn + (l * numCols));
-
-      /* Loop over number of columns     
-       * to the right of the pilot element */
-      for (j = 0u; j < (numCols - l); j++)
-      {
-        /* Divide each element of the row of the input matrix     
-         * by the pivot element */
-        *pInT1 = *pInT1 / in;
-        pInT1++;
-      }
-      for (j = 0u; j < numCols; j++)
-      {
-        /* Divide each element of the row of the destination matrix     
-         * by the pivot element */
-        *pOutT1 = *pOutT1 / in;
-        pOutT1++;
-      }
-
-      /* Replace the rows with the sum of that row and a multiple of row i     
-       * so that each new element in column i above row i is zero.*/
-
-      /* Temporary pointers for input and destination matrices */
-      pInT1 = pIn;
-      pOutT1 = pOut;
-
-      for (i = 0u; i < numRows; i++)
-      {
-        /* Check for the pivot element */
-        if(i == l)
-        {
-          /* If the processing element is the pivot element,     
-             only the columns to the right are to be processed */
-          pInT1 += numCols - l;
-          pOutT1 += numCols;
-        }
-        else
-        {
-          /* Element of the reference row */
-          in = *pInT1;
-
-          /* Working pointers for input and destination pivot rows */
-          pPRT_in = pPivotRowIn;
-          pPRT_pDst = pPivotRowDst;
-
-          /* Loop over the number of columns to the right of the pivot element,     
-             to replace the elements in the input matrix */
-          for (j = 0u; j < (numCols - l); j++)
-          {
-            /* Replace the element by the sum of that row     
-               and a multiple of the reference row  */
-            *pInT1 = *pInT1 - (in * *pPRT_in++);
-            pInT1++;
-          }
-          /* Loop over the number of columns to     
-             replace the elements in the destination matrix */
-          for (j = 0u; j < numCols; j++)
-          {
-            /* Replace the element by the sum of that row     
-               and a multiple of the reference row  */
-            *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
-            pOutT1++;
-          }
-
-        }
-        /* Increment the temporary input pointer */
-        pInT1 = pInT1 + l;
-      }
-      /* Increment the input pointer */
-      pIn++;
-
-      /* Decrement the loop counter */
-      loopCnt--;
-      /* Increment the index modifier */
-      l++;
-    }
-
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-    if((flag != 1u) && (in == 0.0f))
-    {
-      pIn = pSrc->pData;
-      for (i = 0; i < numRows * numCols; i++)
-      {
-        if (pIn[i] != 0.0f)
-            break;
-      }
-      
-      if (i == numRows * numCols)
-        status = ARM_MATH_SINGULAR;
-    }
-  }
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixInv group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_f32.c
deleted file mode 100644
index 55349de7..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_f32.c
+++ /dev/null
@@ -1,286 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_mult_f32.c    
-*    
-* Description:  Floating-point matrix multiplication.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @defgroup MatrixMult Matrix Multiplication    
- *    
- * Multiplies two matrices.    
- *    
- * \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices"    
-    
- * Matrix multiplication is only defined if the number of columns of the    
- * first matrix equals the number of rows of the second matrix.    
- * Multiplying an M x N matrix with an N x P matrix results    
- * in an M x P matrix.    
- * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of    
- * pSrcA and pSrcB are equal; and (2) that the size of the output    
- * matrix equals the outer dimensions of pSrcA and pSrcB.    
- */
-
-
-/**    
- * @addtogroup MatrixMult    
- * @{    
- */
-
-/**    
- * @brief Floating-point matrix multiplication.    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- */
-
-arm_status arm_mat_mult_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
-  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
-  float32_t *pInA = pSrcA->pData;                /* input data matrix pointer A  */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
-  float32_t *px;                                 /* Temporary output data matrix pointer */
-  float32_t sum;                                 /* Accumulator */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t in1, in2, in3, in4;
-  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set    
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      j = 0u;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0.0f;
-
-        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
-        pIn1 = pInA;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        colCnt = numColsA >> 2u;
-
-        /* matrix multiplication        */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          in3 = *pIn2;
-          pIn2 += numColsB;
-          in1 = pIn1[0];
-          in2 = pIn1[1];
-          sum += in1 * in3;
-          in4 = *pIn2;
-          pIn2 += numColsB;
-          sum += in2 * in4;
-
-          in3 = *pIn2;
-          pIn2 += numColsB;
-          in1 = pIn1[2];
-          in2 = pIn1[3];
-          sum += in1 * in3;
-          in4 = *pIn2;
-          pIn2 += numColsB;
-          sum += in2 * in4;
-          pIn1 += 4u;
-
-          /* Decrement the loop count */
-          colCnt--;
-        }
-
-        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        colCnt = numColsA % 0x4u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          sum += *pIn1++ * (*pIn2);
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Store the result in the destination buffer */
-        *px++ = sum;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        j++;
-        pIn2 = pSrcB->pData + j;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t *pInB = pSrcB->pData;                /* input data matrix pointer B */
-  uint16_t col, i = 0u, row = numRowsA, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pInA with each column in pInB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set     
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0.0f;
-
-        /* Initialize the pointer pIn1 to point to the starting address of the row being processed */
-        pIn1 = pInA;
-
-        /* Matrix A columns number of MAC operations are to be performed */
-        colCnt = numColsA;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          sum += *pIn1++ * (*pIn2);
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Store the result in the destination buffer */
-        *px++ = sum;
-
-        /* Decrement the column loop counter */
-        col--;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        pIn2 = pInB + (numColsB - col);
-
-      } while(col > 0u);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-      /* Update the pointer pInA to point to the  starting address of the next row */
-      i = i + numColsB;
-      pInA = pInA + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixMult group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
deleted file mode 100644
index 11139b8a..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
+++ /dev/null
@@ -1,369 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_mult_fast_q15.c    
-*    
-* Description:	 Q15 matrix multiplication (fast variant)    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixMult    
- * @{    
- */
-
-
-/**    
- * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @param[in]		*pState points to the array for storing intermediate results    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The difference between the function arm_mat_mult_q15() and this fast variant is that    
- * the fast variant use a 32-bit rather than a 64-bit accumulator.    
- * The result of each 1.15 x 1.15 multiplication is truncated to        
- * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30        
- * format. Finally, the accumulator is saturated and converted to a 1.15 result.        
- *        
- * \par        
- * The fast version has the same overflow behavior as the standard version but provides        
- * less precision since it discards the low 16 bits of each multiplication result.        
- * In order to avoid overflows completely the input signals must be scaled down.        
- * Scale down one of the input matrices by log2(numColsA) bits to        
- * avoid overflows, as a total of numColsA additions are computed internally for each        
- * output element.        
- *        
- * \par    
- * See arm_mat_mult_q15() for a slower implementation of this function    
- * which uses 64-bit accumulation to provide higher precision.    
- */
-
-arm_status arm_mat_mult_fast_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst,
-  q15_t * pState)
-{
-  q31_t sum;                                     /* accumulator */
-  q15_t *pSrcBT = pState;                        /* input data matrix pointer for transpose */
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
-  q15_t *px;                                     /* Temporary output data matrix pointer */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  uint16_t numRowsB = pSrcB->numRows;            /* number of rows of input matrix A    */
-  uint16_t col, i = 0u, row = numRowsB, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  q31_t in;                                      /* Temporary variable to hold the input value */
-  q31_t inA1, inA2, inB1, inB2;
-
-#else
-
-  q15_t in;                                      /* Temporary variable to hold the input value */
-  q15_t inA1, inA2, inB1, inB2;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif
-  {
-    /* Matrix transpose */
-    do
-    {
-      /* Apply loop unrolling and exchange the columns with row elements */
-      col = numColsB >> 2;
-
-      /* The pointer px is set to starting address of the column being processed */
-      px = pSrcBT + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(col > 0u)
-      {
-#ifndef UNALIGNED_SUPPORT_DISABLE
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) in;
-
-#else
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Unpack and store the second element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *px = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) in;
-
-#else
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Unpack and store the second element in the destination */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *px = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-#else
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-        
-		/* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.        
-       ** No loop unrolling is used. */
-      col = numColsB % 0x4u;
-
-      while(col > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pInB++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      i++;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* Reset the variables for the usage in the following multiplication process */
-    row = numRowsA;
-    i = 0u;
-    px = pDst->pData;
-
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set        
-       ** to the starting address of the transposed pSrcB data */
-      pInB = pSrcBT;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 2 MACs simultaneously. */
-        colCnt = numColsA >> 2;
-
-        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
-        pInA = pSrcA->pData + i;
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-          inA1 = *__SIMD32(pInA)++;
-          inB1 = *__SIMD32(pInB)++;
-          inA2 = *__SIMD32(pInA)++;
-          inB2 = *__SIMD32(pInB)++;
-
-          sum = __SMLAD(inA1, inB1, sum);
-          sum = __SMLAD(inA2, inB2, sum);
-
-#else
-
-          inA1 = *pInA++;
-          inB1 = *pInB++;
-          inA2 = *pInA++;
-          sum += inA1 * inB1;
-          inB2 = *pInB++;
-
-          inA1 = *pInA++;
-          inB1 = *pInB++;
-          sum += inA2 * inB2;
-          inA2 = *pInA++;
-          inB2 = *pInB++;
-
-          sum += inA1 * inB1;
-          sum += inA2 * inB2;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* process odd column samples */
-        colCnt = numColsA % 0x4u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          sum += (q31_t) (*pInA++) * (*pInB++);
-
-          colCnt--;
-        }
-
-        /* Saturate and store the result in the destination buffer */
-        *px = (q15_t) (sum >> 15);
-        px++;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-      i = i + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixMult group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
deleted file mode 100644
index dbc31410..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
+++ /dev/null
@@ -1,226 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_mult_fast_q31.c    
-*    
-* Description:	 Q31 matrix multiplication (fast variant).    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixMult    
- * @{    
- */
-
-/**    
- * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The difference between the function arm_mat_mult_q31() and this fast variant is that    
- * the fast variant use a 32-bit rather than a 64-bit accumulator.    
- * The result of each 1.31 x 1.31 multiplication is truncated to    
- * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30    
- * format. Finally, the accumulator is saturated and converted to a 1.31 result.    
- *    
- * \par    
- * The fast version has the same overflow behavior as the standard version but provides    
- * less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signals must be scaled down.    
- * Scale down one of the input matrices by log2(numColsA) bits to    
- * avoid overflows, as a total of numColsA additions are computed internally for each    
- * output element.    
- *    
- * \par    
- * See arm_mat_mult_q31() for a slower implementation of this function    
- * which uses 64-bit accumulation to provide higher precision.    
- */
-
-arm_status arm_mat_mult_fast_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
-//  q31_t *pSrcB = pSrcB->pData;                    /* input data matrix pointer B */    
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q31_t *px;                                     /* Temporary output data matrix pointer */
-  q31_t sum;                                     /* Accumulator */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-  q31_t inA1, inA2, inA3, inA4, inB1, inB2, inB3, inB4;
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set    
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      j = 0u;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Initiate the pointer pIn1 to point to the starting address of pInA */
-        pIn1 = pInA;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        colCnt = numColsA >> 2;
-
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          inB1 = *pIn2;
-          pIn2 += numColsB;
-
-          inA1 = pIn1[0];
-          inA2 = pIn1[1];
-
-          inB2 = *pIn2;
-          pIn2 += numColsB;
-
-          inB3 = *pIn2;
-          pIn2 += numColsB;
-
-          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA1 * inB1)) >> 32);
-          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA2 * inB2)) >> 32);
-
-          inA3 = pIn1[2];
-          inA4 = pIn1[3];
-
-          inB4 = *pIn2;
-          pIn2 += numColsB;
-
-          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA3 * inB3)) >> 32);
-          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA4 * inB4)) >> 32);
-
-          pIn1 += 4u;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here.    
-         ** No loop unrolling is used. */
-        colCnt = numColsA % 0x4u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * pIn1++ * (*pIn2))) >> 32);
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Convert the result from 2.30 to 1.31 format and store in destination buffer */
-        *px++ = sum << 1;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        j++;
-        pIn2 = pSrcB->pData + j;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-      /* Update the pointer pInA to point to the  starting address of the next row */
-      i = i + numColsB;
-      pInA = pInA + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixMult group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q15.c
deleted file mode 100644
index 9e8d26dd..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q15.c
+++ /dev/null
@@ -1,469 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_mult_q15.c    
-*    
-* Description:	 Q15 matrix multiplication.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixMult    
- * @{    
- */
-
-
-/**    
- * @brief Q15 matrix multiplication    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @param[in]		*pState points to the array for storing intermediate results (Unused)  
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator. The inputs to the    
- * multiplications are in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate    
- * results are accumulated in a 64-bit accumulator in 34.30 format. This approach    
- * provides 33 guard bits and there is no risk of overflow. The 34.30 result is then    
- * truncated to 34.15 format by discarding the low 15 bits and then saturated to    
- * 1.15 format.    
- *    
- * \par    
- * Refer to arm_mat_mult_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.    
- *    
- */
-
-arm_status arm_mat_mult_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst,
-  q15_t * pState CMSIS_UNUSED)
-{
-  q63_t sum;                                     /* accumulator */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q15_t *pSrcBT = pState;                        /* input data matrix pointer for transpose */
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
-  q15_t *px;                                     /* Temporary output data matrix pointer */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  uint16_t numRowsB = pSrcB->numRows;            /* number of rows of input matrix A    */
-  uint16_t col, i = 0u, row = numRowsB, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  q31_t in;                                      /* Temporary variable to hold the input value */
-  q31_t pSourceA1, pSourceB1, pSourceA2, pSourceB2;
-
-#else
-
-  q15_t in;                                      /* Temporary variable to hold the input value */
-  q15_t inA1, inB1, inA2, inB2;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-  {
-    /* Matrix transpose */
-    do
-    {
-      /* Apply loop unrolling and exchange the columns with row elements */
-      col = numColsB >> 2;
-
-      /* The pointer px is set to starting address of the column being processed */
-      px = pSrcBT + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(col > 0u)
-      {
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) in;
-
-#else
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Unpack and store the second element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *px = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) in;
-
-#else
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Unpack and store the second element in the destination */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *px = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-#else
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-       /* Decrement the column loop counter */
-        col--;
-      }
-
-      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.        
-       ** No loop unrolling is used. */
-      col = numColsB % 0x4u;
-
-      while(col > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pInB++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      i++;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* Reset the variables for the usage in the following multiplication process */
-    row = numRowsA;
-    i = 0u;
-    px = pDst->pData;
-
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set        
-       ** to the starting address of the transposed pSrcB data */
-      pInB = pSrcBT;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 2 MACs simultaneously. */
-        colCnt = numColsA >> 2;
-
-        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
-        pInA = pSrcA->pData + i;
-
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-          /* read real and imag values from pSrcA and pSrcB buffer */
-          pSourceA1 = *__SIMD32(pInA)++;
-          pSourceB1 = *__SIMD32(pInB)++;
-
-          pSourceA2 = *__SIMD32(pInA)++;
-          pSourceB2 = *__SIMD32(pInB)++;
-
-          /* Multiply and Accumlates */
-          sum = __SMLALD(pSourceA1, pSourceB1, sum);
-          sum = __SMLALD(pSourceA2, pSourceB2, sum);
-
-#else
-          /* read real and imag values from pSrcA and pSrcB buffer */
-          inA1 = *pInA++;
-          inB1 = *pInB++;
-          inA2 = *pInA++;
-          /* Multiply and Accumlates */
-          sum += inA1 * inB1;
-          inB2 = *pInB++;
-
-          inA1 = *pInA++;
-          inB1 = *pInB++;
-          /* Multiply and Accumlates */
-          sum += inA2 * inB2;
-          inA2 = *pInA++;
-          inB2 = *pInB++;
-
-          /* Multiply and Accumlates */
-          sum += inA1 * inB1;
-          sum += inA2 * inB2;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* process remaining column samples */
-        colCnt = numColsA & 3u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          sum += *pInA++ * *pInB++;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Saturate and store the result in the destination buffer */
-        *px = (q15_t) (__SSAT((sum >> 15), 16));
-        px++;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-      i = i + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q15_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
-  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q15_t *px;                                     /* Temporary output data matrix pointer */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t col, i = 0u, row = numRowsA, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set          
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Initiate the pointer pIn1 to point to the starting address of pSrcA */
-        pIn1 = pInA;
-
-        /* Matrix A columns number of MAC operations are to be performed */
-        colCnt = numColsA;
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          sum += (q31_t) * pIn1++ * *pIn2;
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Convert the result from 34.30 to 1.15 format and store the saturated value in destination buffer */
-        /* Saturate and store the result in the destination buffer */
-        *px++ = (q15_t) __SSAT((sum >> 15), 16);
-
-        /* Decrement the column loop counter */
-        col--;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        pIn2 = pInB + (numColsB - col);
-
-      } while(col > 0u);
-
-      /* Update the pointer pSrcA to point to the  starting address of the next row */
-      i = i + numColsB;
-      pInA = pInA + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixMult group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q31.c
deleted file mode 100644
index 6c97eef1..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q31.c
+++ /dev/null
@@ -1,294 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_mult_q31.c    
-*    
-* Description:	 Q31 matrix multiplication.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixMult    
- * @{    
- */
-
-/**    
- * @brief Q31 matrix multiplication    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate    
- * multiplication results but provides only a single guard bit. There is no saturation    
- * on intermediate additions. Thus, if the accumulator overflows it wraps around and    
- * distorts the result. The input signals should be scaled down to avoid intermediate    
- * overflows. The input is thus scaled down by log2(numColsA) bits    
- * to avoid overflows, as a total of numColsA additions are performed internally.    
- * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.    
- *    
- * \par    
- * See arm_mat_mult_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- *    
- */
-
-arm_status arm_mat_mult_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q31_t *px;                                     /* Temporary output data matrix pointer */
-  q63_t sum;                                     /* Accumulator */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-  q31_t a0, a1, a2, a3, b0, b1, b2, b3;
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set    
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      j = 0u;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Initiate the pointer pIn1 to point to the starting address of pInA */
-        pIn1 = pInA;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        colCnt = numColsA >> 2;
-
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          b0 = *pIn2;
-          pIn2 += numColsB;
-
-          a0 = *pIn1++;
-          a1 = *pIn1++;
-
-          b1 = *pIn2;
-          pIn2 += numColsB;
-          b2 = *pIn2;
-          pIn2 += numColsB;
-
-          sum += (q63_t) a0 *b0;
-          sum += (q63_t) a1 *b1;
-
-          a2 = *pIn1++;
-          a3 = *pIn1++;
-
-          b3 = *pIn2;
-          pIn2 += numColsB;
-
-          sum += (q63_t) a2 *b2;
-          sum += (q63_t) a3 *b3;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here.    
-         ** No loop unrolling is used. */
-        colCnt = numColsA % 0x4u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          sum += (q63_t) * pIn1++ * *pIn2;
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Convert the result from 2.62 to 1.31 format and store in destination buffer */
-        *px++ = (q31_t) (sum >> 31);
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        j++;
-        pIn2 = (pSrcB->pData) + j;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
-  uint16_t col, i = 0u, row = numRowsA, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set          
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Initiate the pointer pIn1 to point to the starting address of pInA */
-        pIn1 = pInA;
-
-        /* Matrix A columns number of MAC operations are to be performed */
-        colCnt = numColsA;
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          sum += (q63_t) * pIn1++ * *pIn2;
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Convert the result from 2.62 to 1.31 format and store in destination buffer */
-        *px++ = (q31_t) clip_q63_to_q31(sum >> 31);
-
-        /* Decrement the column loop counter */
-        col--;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        pIn2 = pInB + (numColsB - col);
-
-      } while(col > 0u);
-
-#endif
-
-      /* Update the pointer pInA to point to the  starting address of the next row */
-      i = i + numColsB;
-      pInA = pInA + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixMult group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_f32.c
deleted file mode 100644
index b7be4cea..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_f32.c
+++ /dev/null
@@ -1,181 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_mat_scale_f32.c    
-*    
-* Description:	Multiplies a floating-point matrix by a scalar.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupMatrix        
- */
-
-/**        
- * @defgroup MatrixScale Matrix Scale        
- *        
- * Multiplies a matrix by a scalar.  This is accomplished by multiplying each element in the        
- * matrix by the scalar.  For example:        
- * \image html MatrixScale.gif "Matrix Scaling of a 3 x 3 matrix"        
- *        
- * The function checks to make sure that the input and output matrices are of the same size.        
- *        
- * In the fixed-point Q15 and Q31 functions, scale is represented by        
- * a fractional multiplication scaleFract and an arithmetic shift shift.        
- * The shift allows the gain of the scaling operation to exceed 1.0.        
- * The overall scale factor applied to the fixed-point data is        
- * 
        
- *     scale = scaleFract * 2^shift.        
- * 
        
- */
-
-/**        
- * @addtogroup MatrixScale        
- * @{        
- */
-
-/**        
- * @brief Floating-point matrix scaling.        
- * @param[in]       *pSrc points to input matrix structure        
- * @param[in]       scale scale factor to be applied         
- * @param[out]      *pDst points to output matrix structure        
- * @return     		The function returns either ARM_MATH_SIZE_MISMATCH         
- * or ARM_MATH_SUCCESS based on the outcome of size checking.        
- *        
- */
-
-arm_status arm_mat_scale_f32(
-  const arm_matrix_instance_f32 * pSrc,
-  float32_t scale,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
-  uint32_t numSamples;                           /* total number of elements in the matrix */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix scaling     */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  float32_t in1, in2, in3, in4;                  /* temporary variables */
-  float32_t out1, out2, out3, out4;              /* temporary variables */
-
-#endif //      #ifndef ARM_MATH_CM0_FAMILY
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * scale */
-      /* Scaling and results are stored in the destination buffer. */
-      in1 = pIn[0];
-      in2 = pIn[1];
-      in3 = pIn[2];
-      in4 = pIn[3];
-
-      out1 = in1 * scale;
-      out2 = in2 * scale;
-      out3 = in3 * scale;
-      out4 = in4 * scale;
-
-
-      pOut[0] = out1;
-      pOut[1] = out2;
-      pOut[2] = out3;
-      pOut[3] = out4;
-
-      /* update pointers to process next sampels */
-      pIn += 4u;
-      pOut += 4u;
-
-      /* Decrement the numSamples loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * scale */
-      /* The results are stored in the destination buffer. */
-      *pOut++ = (*pIn++) * scale;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixScale group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q15.c
deleted file mode 100644
index 4e67cf92..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q15.c
+++ /dev/null
@@ -1,183 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_scale_q15.c    
-*    
-* Description:	Multiplies a Q15 matrix by a scalar.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixScale    
- * @{    
- */
-
-/**    
- * @brief Q15 matrix scaling.    
- * @param[in]       *pSrc points to input matrix    
- * @param[in]       scaleFract fractional portion of the scale factor    
- * @param[in]       shift number of bits to shift the result by    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The input data *pSrc and scaleFract are in 1.15 format.    
- * These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format.    
- */
-
-arm_status arm_mat_scale_q15(
-  const arm_matrix_instance_q15 * pSrc,
-  q15_t scaleFract,
-  int32_t shift,
-  arm_matrix_instance_q15 * pDst)
-{
-  q15_t *pIn = pSrc->pData;                      /* input data matrix pointer */
-  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  uint32_t numSamples;                           /* total number of elements in the matrix */
-  int32_t totShift = 15 - shift;                 /* total shift to apply after scaling */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix scaling     */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  q15_t in1, in2, in3, in4;
-  q31_t out1, out2, out3, out4;
-  q31_t inA1, inA2;
-
-#endif //     #ifndef ARM_MATH_CM0_FAMILY
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch */
-  if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif //    #ifdef ARM_MATH_MATRIX_CHECK
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * k */
-      /* Scale, saturate and then store the results in the destination buffer. */
-      /* Reading 2 inputs from memory */
-      inA1 = _SIMD32_OFFSET(pIn);
-      inA2 = _SIMD32_OFFSET(pIn + 2);
-
-      /* C = A * scale */
-      /* Scale the inputs and then store the 2 results in the destination buffer        
-       * in single cycle by packing the outputs */
-      out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract);
-      out2 = (q31_t) ((q15_t) inA1 * scaleFract);
-      out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract);
-      out4 = (q31_t) ((q15_t) inA2 * scaleFract);
-
-      out1 = out1 >> totShift;
-      inA1 = _SIMD32_OFFSET(pIn + 4);
-      out2 = out2 >> totShift;
-      inA2 = _SIMD32_OFFSET(pIn + 6);
-      out3 = out3 >> totShift;
-      out4 = out4 >> totShift;
-
-      in1 = (q15_t) (__SSAT(out1, 16));
-      in2 = (q15_t) (__SSAT(out2, 16));
-      in3 = (q15_t) (__SSAT(out3, 16));
-      in4 = (q15_t) (__SSAT(out4, 16));
-
-      _SIMD32_OFFSET(pOut) = __PKHBT(in2, in1, 16);
-      _SIMD32_OFFSET(pOut + 2) = __PKHBT(in4, in3, 16);
-
-      /* update pointers to process next sampels */
-      pIn += 4u;
-      pOut += 4u;
-
-
-      /* Decrement the numSamples loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * k */
-      /* Scale, saturate and then store the results in the destination buffer. */
-      *pOut++ =
-        (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> totShift, 16));
-
-      /* Decrement the numSamples loop counter */
-      blkCnt--;
-    }
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixScale group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q31.c
deleted file mode 100644
index 845f3061..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q31.c
+++ /dev/null
@@ -1,202 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_scale_q31.c    
-*    
-* Description:	Multiplies a Q31 matrix by a scalar.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  ------------------------------------------------ */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupMatrix        
- */
-
-/**        
- * @addtogroup MatrixScale        
- * @{        
- */
-
-/**        
- * @brief Q31 matrix scaling.        
- * @param[in]       *pSrc points to input matrix        
- * @param[in]       scaleFract fractional portion of the scale factor        
- * @param[in]       shift number of bits to shift the result by        
- * @param[out]      *pDst points to output matrix structure        
- * @return     		The function returns either        
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.        
- *        
- * @details        
- * Scaling and Overflow Behavior:        
- * \par        
- * The input data *pSrc and scaleFract are in 1.31 format.        
- * These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format.        
- */
-
-arm_status arm_mat_scale_q31(
-  const arm_matrix_instance_q31 * pSrc,
-  q31_t scaleFract,
-  int32_t shift,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn = pSrc->pData;                      /* input data matrix pointer */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  uint32_t numSamples;                           /* total number of elements in the matrix */
-  int32_t totShift = shift + 1;                  /* shift to apply after scaling */
-  uint32_t blkCnt;                               /* loop counters  */
-  arm_status status;                             /* status of matrix scaling      */
-  q31_t in1, in2, out1;                          /* temporary variabels */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  q31_t in3, in4, out2, out3, out4;              /* temporary variables */
-
-#endif //      #ifndef ARM_MAT_CM0
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch  */
-  if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif //    #ifdef ARM_MATH_MATRIX_CHECK
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * k */
-      /* Read values from input */
-      in1 = *pIn;
-      in2 = *(pIn + 1);
-      in3 = *(pIn + 2);
-      in4 = *(pIn + 3);
-
-      /* multiply input with scaler value */
-      in1 = ((q63_t) in1 * scaleFract) >> 32;
-      in2 = ((q63_t) in2 * scaleFract) >> 32;
-      in3 = ((q63_t) in3 * scaleFract) >> 32;
-      in4 = ((q63_t) in4 * scaleFract) >> 32;
-
-      /* apply shifting */
-      out1 = in1 << totShift;
-      out2 = in2 << totShift;
-
-      /* saturate the results. */
-      if(in1 != (out1 >> totShift))
-        out1 = 0x7FFFFFFF ^ (in1 >> 31);
-
-      if(in2 != (out2 >> totShift))
-        out2 = 0x7FFFFFFF ^ (in2 >> 31);
-
-      out3 = in3 << totShift;
-      out4 = in4 << totShift;
-
-      *pOut = out1;
-      *(pOut + 1) = out2;
-
-      if(in3 != (out3 >> totShift))
-        out3 = 0x7FFFFFFF ^ (in3 >> 31);
-
-      if(in4 != (out4 >> totShift))
-        out4 = 0x7FFFFFFF ^ (in4 >> 31);
-
-
-      *(pOut + 2) = out3;
-      *(pOut + 3) = out4;
-
-      /* update pointers to process next sampels */
-      pIn += 4u;
-      pOut += 4u;
-
-
-      /* Decrement the numSamples loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * k */
-      /* Scale, saturate and then store the results in the destination buffer. */
-      in1 = *pIn++;
-
-      in2 = ((q63_t) in1 * scaleFract) >> 32;
-
-      out1 = in2 << totShift;
-
-      if(in2 != (out1 >> totShift))
-        out1 = 0x7FFFFFFF ^ (in2 >> 31);
-
-      *pOut++ = out1;
-
-      /* Decrement the numSamples loop counter */
-      blkCnt--;
-    }
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixScale group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_f32.c
deleted file mode 100644
index 5451a3a5..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_f32.c
+++ /dev/null
@@ -1,209 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_sub_f32.c    
-*    
-* Description:	Floating-point matrix subtraction.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupMatrix        
- */
-
-/**        
- * @defgroup MatrixSub Matrix Subtraction        
- *        
- * Subtract two matrices.        
- * \image html MatrixSubtraction.gif "Subraction of two 3 x 3 matrices"        
- *        
- * The functions check to make sure that        
- * pSrcA, pSrcB, and pDst have the same        
- * number of rows and columns.        
- */
-
-/**        
- * @addtogroup MatrixSub        
- * @{        
- */
-
-/**        
- * @brief Floating-point matrix subtraction        
- * @param[in]       *pSrcA points to the first input matrix structure        
- * @param[in]       *pSrcB points to the second input matrix structure        
- * @param[out]      *pDst points to output matrix structure        
- * @return     		The function returns either        
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.        
- */
-
-arm_status arm_mat_sub_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
-  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer  */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  float32_t inA1, inA2, inB1, inB2, out1, out2;  /* temporary variables */
-
-#endif //      #ifndef ARM_MATH_CM0_FAMILY
-
-  uint32_t numSamples;                           /* total number of elements in the matrix  */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix subtraction */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract and then store the results in the destination buffer. */
-      /* Read values from source A */
-      inA1 = pIn1[0];
-
-      /* Read values from source B */
-      inB1 = pIn2[0];
-
-      /* Read values from source A */
-      inA2 = pIn1[1];
-
-      /* out = sourceA - sourceB */
-      out1 = inA1 - inB1;
-
-      /* Read values from source B */
-      inB2 = pIn2[1];
-
-      /* Read values from source A */
-      inA1 = pIn1[2];
-
-      /* out = sourceA - sourceB */
-      out2 = inA2 - inB2;
-
-      /* Read values from source B */
-      inB1 = pIn2[2];
-
-      /* Store result in destination */
-      pOut[0] = out1;
-      pOut[1] = out2;
-
-      /* Read values from source A */
-      inA2 = pIn1[3];
-
-      /* Read values from source B */
-      inB2 = pIn2[3];
-
-      /* out = sourceA - sourceB */
-      out1 = inA1 - inB1;
-
-
-      /* out = sourceA - sourceB */
-      out2 = inA2 - inB2;
-
-      /* Store result in destination */
-      pOut[2] = out1;
-
-      /* Store result in destination */
-      pOut[3] = out2;
-
-
-      /* update pointers to process next sampels */
-      pIn1 += 4u;
-      pIn2 += 4u;
-      pOut += 4u;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract and then store the results in the destination buffer. */
-      *pOut++ = (*pIn1++) - (*pIn2++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixSub group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q15.c
deleted file mode 100644
index cc5a7b9a..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q15.c
+++ /dev/null
@@ -1,160 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_sub_q15.c    
-*    
-* Description:	Q15 Matrix subtraction    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixSub    
- * @{    
- */
-
-/**    
- * @brief Q15 matrix subtraction.    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
- */
-
-arm_status arm_mat_sub_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst)
-{
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
-  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  uint32_t numSamples;                           /* total number of elements in the matrix */
-  uint32_t blkCnt;                               /* loop counters  */
-  arm_status status;                             /* status of matrix subtraction  */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Apply loop unrolling */
-    blkCnt = numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract, Saturate and then store the results in the destination buffer. */
-      *__SIMD32(pOut)++ = __QSUB16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
-      *__SIMD32(pOut)++ = __QSUB16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract and then store the results in the destination buffer. */
-      *pOut++ = (q15_t) __QSUB16(*pInA++, *pInB++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract and then store the results in the destination buffer. */
-      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixSub group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q31.c
deleted file mode 100644
index d5ac2064..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q31.c
+++ /dev/null
@@ -1,208 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_sub_q31.c    
-*    
-* Description:	Q31 matrix subtraction    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupMatrix        
- */
-
-/**        
- * @addtogroup MatrixSub        
- * @{        
- */
-
-/**        
- * @brief Q31 matrix subtraction.        
- * @param[in]       *pSrcA points to the first input matrix structure        
- * @param[in]       *pSrcB points to the second input matrix structure        
- * @param[out]      *pDst points to output matrix structure        
- * @return     		The function returns either        
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.        
- *        
- * Scaling and Overflow Behavior:        
- * \par        
- * The function uses saturating arithmetic.        
- * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated.        
- */
-
-
-arm_status arm_mat_sub_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q31_t inA1, inB1;                              /* temporary variables */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  q31_t inA2, inB2;                              /* temporary variables */
-  q31_t out1, out2;                              /* temporary variables */
-
-#endif //      #ifndef ARM_MATH_CM0_FAMILY
-
-  uint32_t numSamples;                           /* total number of elements in the matrix  */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix subtraction */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition  */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract, saturate and then store the results in the destination buffer. */
-      /* Read values from source A */
-      inA1 = pIn1[0];
-
-      /* Read values from source B */
-      inB1 = pIn2[0];
-
-      /* Read values from source A */
-      inA2 = pIn1[1];
-
-      /* Subtract and saturate */
-      out1 = __QSUB(inA1, inB1);
-
-      /* Read values from source B */
-      inB2 = pIn2[1];
-
-      /* Read values from source A */
-      inA1 = pIn1[2];
-
-      /* Subtract and saturate */
-      out2 = __QSUB(inA2, inB2);
-
-      /* Read values from source B */
-      inB1 = pIn2[2];
-
-      /* Store result in destination */
-      pOut[0] = out1;
-      pOut[1] = out2;
-
-      /* Read values from source A */
-      inA2 = pIn1[3];
-
-      /* Read values from source B */
-      inB2 = pIn2[3];
-
-      /* Subtract and saturate */
-      out1 = __QSUB(inA1, inB1);
-
-      /* Subtract and saturate */
-      out2 = __QSUB(inA2, inB2);
-
-      /* Store result in destination */
-      pOut[2] = out1;
-      pOut[3] = out2;
-
-      /* update pointers to process next samples */
-      pIn1 += 4u;
-      pIn2 += 4u;
-      pOut += 4u;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract, saturate and then store the results in the destination buffer. */
-      inA1 = *pIn1++;
-      inB1 = *pIn2++;
-
-      inA1 = __QSUB(inA1, inB1);
-
-      *pOut++ = inA1;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixSub group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_f32.c
deleted file mode 100644
index f5cd4565..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_f32.c
+++ /dev/null
@@ -1,218 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_trans_f32.c    
-*    
-* Description:	Floating-point matrix transpose.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-/**    
- * @defgroup MatrixTrans Matrix Transpose    
- *    
- * Tranposes a matrix.    
- * Transposing an M x N matrix flips it around the center diagonal and results in an N x M matrix.    
- * \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix"    
- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixTrans    
- * @{    
- */
-
-/**    
-  * @brief Floating-point matrix transpose.    
-  * @param[in]  *pSrc points to the input matrix    
-  * @param[out] *pDst points to the output matrix    
-  * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH    
-  * or ARM_MATH_SUCCESS based on the outcome of size checking.    
-  */
-
-
-arm_status arm_mat_trans_f32(
-  const arm_matrix_instance_f32 * pSrc,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
-  float32_t *px;                                 /* Temporary output data matrix pointer */
-  uint16_t nRows = pSrc->numRows;                /* number of rows */
-  uint16_t nColumns = pSrc->numCols;             /* number of columns */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  uint16_t blkCnt, i = 0u, row = nRows;          /* loop counters */
-  arm_status status;                             /* status of matrix transpose  */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-      /* Loop Unrolling */
-      blkCnt = nColumns >> 2;
-
-      /* The pointer px is set to starting address of the column being processed */
-      px = pOut + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(blkCnt > 0u)        /* column loop */
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        blkCnt--;
-      }
-
-      /* Perform matrix transpose for last 3 samples here. */
-      blkCnt = nColumns % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        blkCnt--;
-      }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  uint16_t col, i = 0u, row = nRows;             /* loop counters */
-  arm_status status;                             /* status of matrix transpose  */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-      /* The pointer px is set to starting address of the column being processed */
-      px = pOut + i;
-
-      /* Initialize column loop counter */
-      col = nColumns;
-
-      while(col > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-      i++;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);          /* row loop end  */
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixTrans group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q15.c
deleted file mode 100644
index c4656bbd..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q15.c
+++ /dev/null
@@ -1,284 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_trans_q15.c    
-*    
-* Description:	Q15 matrix transpose.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixTrans    
- * @{    
- */
-
-/*    
- * @brief Q15 matrix transpose.    
- * @param[in]  *pSrc points to the input matrix    
- * @param[out] *pDst points to the output matrix    
- * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH    
- * or ARM_MATH_SUCCESS based on the outcome of size checking.    
- */
-
-arm_status arm_mat_trans_q15(
-  const arm_matrix_instance_q15 * pSrc,
-  arm_matrix_instance_q15 * pDst)
-{
-  q15_t *pSrcA = pSrc->pData;                    /* input data matrix pointer */
-  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  uint16_t nRows = pSrc->numRows;                /* number of nRows */
-  uint16_t nColumns = pSrc->numCols;             /* number of nColumns */
-  uint16_t col, row = nRows, i = 0u;             /* row and column loop counters */
-  arm_status status;                             /* status of matrix transpose */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  q31_t in;                                      /* variable to hold temporary output  */
-
-#else
-
-  q15_t in;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-
-      /* Apply loop unrolling and exchange the columns with row elements */
-      col = nColumns >> 2u;
-
-      /* The pointer pOut is set to starting address of the column being processed */
-      pOut = pDst->pData + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(col > 0u)
-      {
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pSrcA)++;
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *pOut = (q15_t) in;
-
-#else
-
-        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer pOut to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Unpack and store the second element in the destination */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *pOut = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer pOut to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Read two elements from the row */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        in = *__SIMD32(pSrcA)++;
-
-#else
-
-        in = *__SIMD32(pSrcA)++;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *pOut = (q15_t) in;
-
-#else
-
-        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer pOut to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Unpack and store the second element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *pOut = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-#else	 
-        /* Read one element from the row */
-        in = *pSrcA++;
-
-        /* Store one element in the destination */
-        *pOut = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Read one element from the row */
-        in = *pSrcA++;
-
-        /* Store one element in the destination */
-        *pOut = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Read one element from the row */
-        in = *pSrcA++;
-
-        /* Store one element in the destination */
-        *pOut = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Read one element from the row */
-        in = *pSrcA++;
-
-        /* Store one element in the destination */
-        *pOut = in;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-        /* Update the pointer pOut to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      /* Perform matrix transpose for last 3 samples here. */
-      col = nColumns % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-      /* The pointer pOut is set to starting address of the column being processed */
-      pOut = pDst->pData + i;
-
-      /* Initialize column loop counter */
-      col = nColumns;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-      while(col > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *pOut = *pSrcA++;
-
-        /* Update the pointer pOut to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      i++;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixTrans group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q31.c
deleted file mode 100644
index 459700a0..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q31.c
+++ /dev/null
@@ -1,210 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_trans_q31.c    
-*    
-* Description:	Q31 matrix transpose.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixTrans    
- * @{    
- */
-
-/*    
-  * @brief Q31 matrix transpose.    
-  * @param[in]  *pSrc points to the input matrix    
-  * @param[out] *pDst points to the output matrix    
-  * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH    
-  * or ARM_MATH_SUCCESS based on the outcome of size checking.    
- */
-
-arm_status arm_mat_trans_q31(
-  const arm_matrix_instance_q31 * pSrc,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn = pSrc->pData;                      /* input data matrix pointer  */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer  */
-  q31_t *px;                                     /* Temporary output data matrix pointer */
-  uint16_t nRows = pSrc->numRows;                /* number of nRows */
-  uint16_t nColumns = pSrc->numCols;             /* number of nColumns  */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  uint16_t blkCnt, i = 0u, row = nRows;          /* loop counters */
-  arm_status status;                             /* status of matrix transpose */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-      /* Apply loop unrolling and exchange the columns with row elements */
-      blkCnt = nColumns >> 2u;
-
-      /* The pointer px is set to starting address of the column being processed */
-      px = pOut + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(blkCnt > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        blkCnt--;
-      }
-
-      /* Perform matrix transpose for last 3 samples here. */
-      blkCnt = nColumns % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        blkCnt--;
-      }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  uint16_t col, i = 0u, row = nRows;             /* loop counters */
-  arm_status status;                             /* status of matrix transpose */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-      /* The pointer px is set to starting address of the column being processed */
-      px = pOut + i;
-
-      /* Initialize column loop counter */
-      col = nColumns;
-
-      while(col > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-      i++;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    }
-    while(row > 0u);            /* row loop end */
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixTrans group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_f32.c
deleted file mode 100644
index 6a1ad396..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_f32.c
+++ /dev/null
@@ -1,186 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_max_f32.c    
-*    
-* Description:	Maximum value of a floating-point vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup Max Maximum    
- *    
- * Computes the maximum value of an array of data.     
- * The function returns both the maximum value and its position within the array.     
- * There are separate functions for floating-point, Q31, Q15, and Q7 data types.    
- */
-
-/**    
- * @addtogroup Max    
- * @{    
- */
-
-
-/**    
- * @brief Maximum value of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult maximum value returned here    
- * @param[out]      *pIndex index of maximum value returned here    
- * @return none.    
- */
-
-void arm_max_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t maxVal1, maxVal2, out;               /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 1u;
-    }
-
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 2u;
-    }
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  float32_t maxVal1, out;                        /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  blkCnt = (blockSize - 1u);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and it's index */
-      out = maxVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Store the maximum value and it's index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Max group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q15.c
deleted file mode 100644
index 9a59726e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q15.c
+++ /dev/null
@@ -1,176 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_max_q15.c    
-*    
-* Description:	Maximum value of a Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup Max    
- * @{    
- */
-
-
-/**    
- * @brief Maximum value of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult maximum value returned here    
- * @param[out]      *pIndex index of maximum value returned here    
- * @return none.    
- */
-
-void arm_max_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q15_t maxVal1, maxVal2, out;                   /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 1u;
-    }
-
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 2u;
-    }
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t maxVal1, out;                            /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  blkCnt = (blockSize - 1u);
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and it's index */
-      out = maxVal1;
-      outIndex = blockSize - blkCnt;
-    }
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Store the maximum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Max group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q31.c
deleted file mode 100644
index 8a95cf19..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q31.c
+++ /dev/null
@@ -1,177 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_max_q31.c    
-*    
-* Description:	Maximum value of a Q31 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup Max    
- * @{    
- */
-
-
-/**    
- * @brief Maximum value of a Q31 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult maximum value returned here    
- * @param[out]      *pIndex index of maximum value returned here    
- * @return none.    
- */
-
-void arm_max_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t maxVal1, maxVal2, out;                   /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 1u;
-    }
-
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 2u;
-    }
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q31_t maxVal1, out;                            /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  blkCnt = (blockSize - 1u);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and it's index */
-      out = maxVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Store the maximum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Max group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q7.c
deleted file mode 100644
index 07150d62..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q7.c
+++ /dev/null
@@ -1,177 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_max_q7.c    
-*    
-* Description:	Maximum value of a Q7 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup Max    
- * @{    
- */
-
-
-/**    
- * @brief Maximum value of a Q7 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult maximum value returned here    
- * @param[out]      *pIndex index of maximum value returned here    
-  * @return none.    
- */
-
-void arm_max_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0_FAMILY
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t maxVal1, maxVal2, out;                    /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 1u;
-    }
-
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 2u;
-    }
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q7_t maxVal1, out;                             /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  blkCnt = (blockSize - 1u);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and it's index */
-      out = maxVal1;
-      outIndex = blockSize - blkCnt;
-    }
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Store the maximum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-
-}
-
-/**    
- * @} end of Max group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_f32.c
deleted file mode 100644
index 3e699d3c..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_f32.c
+++ /dev/null
@@ -1,139 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_mean_f32.c    
-*    
-* Description:	Mean value of a floating-point vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup mean Mean    
- *    
- * Calculates the mean of the input vector. Mean is defined as the average of the elements in the vector.    
- * The underlying algorithm is used:    
- *    
- * 
    
- * 	Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize;    
- * 
    
- *    
- * There are separate functions for floating-point, Q31, Q15, and Q7 data types.    
- */
-
-/**    
- * @addtogroup mean    
- * @{    
- */
-
-
-/**    
- * @brief Mean value of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult mean value returned here    
- * @return none.    
- */
-
-
-void arm_mean_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult)
-{
-  float32_t sum = 0.0f;                          /* Temporary result storage */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t in1, in2, in3, in4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    in1 = *pSrc++;
-    in2 = *pSrc++;
-    in3 = *pSrc++;
-    in4 = *pSrc++;
-
-    sum += in1;
-    sum += in2;
-    sum += in3;
-    sum += in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    sum += *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
-  /* Store the result to the destination */
-  *pResult = sum / (float32_t) blockSize;
-}
-
-/**    
- * @} end of mean group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q15.c
deleted file mode 100644
index 22ea8dc5..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q15.c
+++ /dev/null
@@ -1,133 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_mean_q15.c    
-*    
-* Description:	Mean value of a Q15 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup mean    
- * @{    
- */
-
-/**    
- * @brief Mean value of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult mean value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.    
- * The input is represented in 1.15 format and is accumulated in a 32-bit     
- * accumulator in 17.15 format.     
- * There is no risk of internal overflow with this approach, and the     
- * full precision of intermediate result is preserved.     
- * Finally, the accumulator is saturated and truncated to yield a result of 1.15 format.    
- *    
- */
-
-
-void arm_mean_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult)
-{
-  q31_t sum = 0;                                 /* Temporary result storage */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    sum += *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
-  /* Store the result to the destination */
-  *pResult = (q15_t) (sum / (q31_t)blockSize);
-}
-
-/**    
- * @} end of mean group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q31.c
deleted file mode 100644
index 9f80d842..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q31.c
+++ /dev/null
@@ -1,136 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_mean_q31.c    
-*    
-* Description:	Mean value of a Q31 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup mean    
- * @{    
- */
-
-/**    
- * @brief Mean value of a Q31 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult mean value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *\par    
- * The function is implemented using a 64-bit internal accumulator.    
- * The input is represented in 1.31 format and is accumulated in a 64-bit    
- * accumulator in 33.31 format.    
- * There is no risk of internal overflow with this approach, and the     
- * full precision of intermediate result is preserved.     
- * Finally, the accumulator is truncated to yield a result of 1.31 format.    
- *    
- */
-
-
-void arm_mean_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult)
-{
-  q63_t sum = 0;                                 /* Temporary result storage */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2, in3, in4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    in1 = *pSrc++;
-    in2 = *pSrc++;
-    in3 = *pSrc++;
-    in4 = *pSrc++;
-
-    sum += in1;
-    sum += in2;
-    sum += in3;
-    sum += in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    sum += *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
-  /* Store the result to the destination */
-  *pResult = (q31_t) (sum / (int32_t) blockSize);
-}
-
-/**    
- * @} end of mean group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q7.c
deleted file mode 100644
index 31a35167..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q7.c
+++ /dev/null
@@ -1,133 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_mean_q7.c    
-*    
-* Description:	Mean value of a Q7 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup mean    
- * @{    
- */
-
-/**    
- * @brief Mean value of a Q7 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult mean value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.     
- * The input is represented in 1.7 format and is accumulated in a 32-bit    
- * accumulator in 25.7 format.    
- * There is no risk of internal overflow with this approach, and the     
- * full precision of intermediate result is preserved.     
- * Finally, the accumulator is truncated to yield a result of 1.7 format.    
- *    
- */
-
-
-void arm_mean_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * pResult)
-{
-  q31_t sum = 0;                                 /* Temporary result storage */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    in = *__SIMD32(pSrc)++;
-
-    sum += ((in << 24) >> 24);
-    sum += ((in << 16) >> 24);
-    sum += ((in << 8) >> 24);
-    sum += (in >> 24);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    sum += *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
-  /* Store the result to the destination */
-  *pResult = (q7_t) (sum / (int32_t) blockSize);
-}
-
-/**    
- * @} end of mean group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_f32.c
deleted file mode 100644
index 7b6504c1..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_f32.c
+++ /dev/null
@@ -1,183 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_min_f32.c    
-*    
-* Description:	Minimum value of a floating-point vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup Min Minimum    
- *    
- * Computes the minimum value of an array of data.     
- * The function returns both the minimum value and its position within the array.     
- * There are separate functions for floating-point, Q31, Q15, and Q7 data types.    
- */
-
-/**    
- * @addtogroup Min    
- * @{    
- */
-
-
-/**    
- * @brief Minimum value of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult minimum value returned here    
- * @param[out]      *pIndex index of minimum value returned here    
-  * @return none.    
- *    
- */
-
-void arm_min_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t minVal1, minVal2, out;               /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 1u;
-    }
-
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 2u;
-    }
-
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u ) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  float32_t minVal1, out;                        /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  blkCnt = (blockSize - 1u);
-
-#endif //      #ifndef ARM_MATH_CM0_FAMILY
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and it's index */
-      out = minVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-    blkCnt--;
-
-  }
-
-  /* Store the minimum value and it's index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Min group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q15.c
deleted file mode 100644
index 88401b7c..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q15.c
+++ /dev/null
@@ -1,177 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_min_q15.c    
-*    
-* Description:	Minimum value of a Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-
-/**    
- * @addtogroup Min    
- * @{    
- */
-
-
-/**    
- * @brief Minimum value of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult minimum value returned here    
- * @param[out]      *pIndex index of minimum value returned here    
- * @return none.    
- *    
- */
-
-void arm_min_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q15_t minVal1, minVal2, out;                   /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 1u;
-    }
-
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 2u;
-    }
-
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u ) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t minVal1, out;                            /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  blkCnt = (blockSize - 1u);
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-#endif //      #ifndef ARM_MATH_CM0_FAMILY
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and it's index */
-      out = minVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-    blkCnt--;
-
-  }
-
-
-
-  /* Store the minimum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Min group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q31.c
deleted file mode 100644
index 01746b62..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q31.c
+++ /dev/null
@@ -1,176 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_min_q31.c    
-*    
-* Description:	Minimum value of a Q31 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-
-/**    
- * @addtogroup Min    
- * @{    
- */
-
-
-/**    
- * @brief Minimum value of a Q31 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult minimum value returned here    
- * @param[out]      *pIndex index of minimum value returned here    
- * @return none.    
- *    
- */
-
-void arm_min_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t minVal1, minVal2, out;                   /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 1u;
-    }
-
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 2u;
-    }
-
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u ) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q31_t minVal1, out;                            /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  blkCnt = (blockSize - 1u);
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-#endif //      #ifndef ARM_MATH_CM0_FAMILY
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and it's index */
-      out = minVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-    blkCnt--;
-
-  }
-
-  /* Store the minimum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Min group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q7.c
deleted file mode 100644
index 587afac1..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q7.c
+++ /dev/null
@@ -1,178 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_min_q7.c    
-*    
-* Description:	Minimum value of a Q7 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup Min    
- * @{    
- */
-
-
-/**    
- * @brief Minimum value of a Q7 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult minimum value returned here    
- * @param[out]      *pIndex index of minimum value returned here    
- * @return none.    
- *    
- */
-
-void arm_min_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t minVal1, minVal2, out;                    /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 1u;
-    }
-
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 2u;
-    }
-
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u ) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q7_t minVal1, out;                             /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  blkCnt = (blockSize - 1u);
-
-#endif //      #ifndef ARM_MATH_CM0_FAMILY
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and it's index */
-      out = minVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-    blkCnt--;
-
-  }
-
-  /* Store the minimum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-
-
-}
-
-/**    
- * @} end of Min group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_f32.c
deleted file mode 100644
index 564d84ea..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_f32.c
+++ /dev/null
@@ -1,143 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_power_f32.c    
-*    
-* Description:	Sum of the squares of the elements of a floating-point vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup power Power    
- *    
- * Calculates the sum of the squares of the elements in the input vector.    
- * The underlying algorithm is used:    
- *    
- * 
    
- * 	Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1];    
- * 
    
- *   
- * There are separate functions for floating point, Q31, Q15, and Q7 data types.     
- */
-
-/**    
- * @addtogroup power    
- * @{    
- */
-
-
-/**    
- * @brief Sum of the squares of the elements of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult sum of the squares value returned here    
- * @return none.    
- *    
- */
-
-
-void arm_power_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult)
-{
-  float32_t sum = 0.0f;                          /* accumulator */
-  float32_t in;                                  /* Temporary variable to store input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* compute power and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Store the result to the destination */
-  *pResult = sum;
-}
-
-/**    
- * @} end of power group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q15.c
deleted file mode 100644
index 02c41093..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q15.c
+++ /dev/null
@@ -1,152 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_power_q15.c    
-*    
-* Description:	Sum of the squares of the elements of a Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup power    
- * @{    
- */
-
-/**    
- * @brief Sum of the squares of the elements of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult sum of the squares value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.     
- * The input is represented in 1.15 format.   
- * Intermediate multiplication yields a 2.30 format, and this    
- * result is added without saturation to a 64-bit accumulator in 34.30 format.    
- * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the return result is in 34.30 format.     
- *    
- */
-
-void arm_power_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q63_t * pResult)
-{
-  q63_t sum = 0;                                 /* Temporary result storage */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in32;                                    /* Temporary variable to store input value */
-  q15_t in16;                                    /* Temporary variable to store input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-  /* loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in32 = *__SIMD32(pSrc)++;
-    sum = __SMLALD(in32, in32, sum);
-    in32 = *__SIMD32(pSrc)++;
-    sum = __SMLALD(in32, in32, sum);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in16 = *pSrc++;
-    sum = __SMLALD(in16, in16, sum);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t in;                                      /* Temporary variable to store input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += ((q31_t) in * in);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  /* Store the results in 34.30 format  */
-  *pResult = sum;
-}
-
-/**    
- * @} end of power group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q31.c
deleted file mode 100644
index 75c63141..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q31.c
+++ /dev/null
@@ -1,143 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_power_q31.c    
-*    
-* Description:	Sum of the squares of the elements of a Q31 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup power    
- * @{    
- */
-
-/**    
- * @brief Sum of the squares of the elements of a Q31 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult sum of the squares value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * The input is represented in 1.31 format.    
- * Intermediate multiplication yields a 2.62 format, and this    
- * result is truncated to 2.48 format by discarding the lower 14 bits.    
- * The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format.    
- * With 15 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the return result is in 16.48 format.     
- *    
- */
-
-void arm_power_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q63_t * pResult)
-{
-  q63_t sum = 0;                                 /* Temporary result storage */
-  q31_t in;
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power then shift intermediate results by 14 bits to maintain 16.48 format and then store the result in a temporary variable sum, providing 15 guard bits. */
-    in = *pSrc++;
-    sum += ((q63_t) in * in) >> 14u;
-
-    in = *pSrc++;
-    sum += ((q63_t) in * in) >> 14u;
-
-    in = *pSrc++;
-    sum += ((q63_t) in * in) >> 14u;
-
-    in = *pSrc++;
-    sum += ((q63_t) in * in) >> 14u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += ((q63_t) in * in) >> 14u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Store the results in 16.48 format  */
-  *pResult = sum;
-}
-
-/**    
- * @} end of power group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q7.c
deleted file mode 100644
index 4f381566..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q7.c
+++ /dev/null
@@ -1,141 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_power_q7.c    
-*    
-* Description:	Sum of the squares of the elements of a Q7 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup power    
- * @{    
- */
-
-/**    
- * @brief Sum of the squares of the elements of a Q7 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult sum of the squares value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.     
- * The input is represented in 1.7 format.   
- * Intermediate multiplication yields a 2.14 format, and this    
- * result is added without saturation to an accumulator in 18.14 format.    
- * With 17 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the return result is in 18.14 format.     
- *    
- */
-
-void arm_power_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult)
-{
-  q31_t sum = 0;                                 /* Temporary result storage */
-  q7_t in;                                       /* Temporary variable to store input */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t input1;                                  /* Temporary variable to store packed input */
-  q31_t in1, in2;                                /* Temporary variables to store input */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Reading two inputs of pSrc vector and packing */
-    input1 = *__SIMD32(pSrc)++;
-
-    in1 = __SXTB16(__ROR(input1, 8));
-    in2 = __SXTB16(input1);
-
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* calculate power and accumulate to accumulator */
-    sum = __SMLAD(in1, in1, sum);
-    sum = __SMLAD(in2, in2, sum);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += ((q15_t) in * in);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Store the result in 18.14 format  */
-  *pResult = sum;
-}
-
-/**    
- * @} end of power group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_f32.c
deleted file mode 100644
index 5f935379..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_f32.c
+++ /dev/null
@@ -1,141 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_rms_f32.c    
-*    
-* Description:	Root mean square value of an array of F32 type    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup RMS Root mean square (RMS)    
- *    
- *     
- * Calculates the Root Mean Sqaure of the elements in the input vector.    
- * The underlying algorithm is used:    
- *    
- * 
    
- * 	Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize));    
- * 
    
- *   
- * There are separate functions for floating point, Q31, and Q15 data types.     
- */
-
-/**    
- * @addtogroup RMS    
- * @{    
- */
-
-
-/**    
- * @brief Root Mean Square of the elements of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult rms value returned here    
- * @return none.    
- *    
- */
-
-void arm_rms_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult)
-{
-  float32_t sum = 0.0f;                          /* Accumulator */
-  float32_t in;                                  /* Tempoprary variable to store input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute sum of the squares and then store the result in a temporary variable, sum  */
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute sum of the squares and then store the results in a temporary variable, sum  */
-    in = *pSrc++;
-    sum += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Rms and store the result in the destination */
-  arm_sqrt_f32(sum / (float32_t) blockSize, pResult);
-}
-
-/**    
- * @} end of RMS group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q15.c
deleted file mode 100644
index 3f335a23..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q15.c
+++ /dev/null
@@ -1,153 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_rms_q15.c    
-*    
-* Description:	Root Mean Square of the elements of a Q15 vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @addtogroup RMS    
- * @{    
- */
-
-/**    
- * @brief Root Mean Square of the elements of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult rms value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * The input is represented in 1.15 format.    
- * Intermediate multiplication yields a 2.30 format, and this    
- * result is added without saturation to a 64-bit accumulator in 34.30 format.    
- * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower     
- * 15 bits, and then saturated to yield a result in 1.15 format.    
- *    
- */
-
-void arm_rms_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult)
-{
-  q63_t sum = 0;                                 /* accumulator */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in;                                      /* temporary variable to store the input value */
-  q15_t in1;                                     /* temporary variable to store the input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-  /* loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute sum of the squares and then store the results in a temporary variable, sum */
-    in = *__SIMD32(pSrc)++;
-    sum = __SMLALD(in, in, sum);
-    in = *__SIMD32(pSrc)++;
-    sum = __SMLALD(in, in, sum);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute sum of the squares and then store the results in a temporary variable, sum */
-    in1 = *pSrc++;
-    sum = __SMLALD(in1, in1, sum);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Truncating and saturating the accumulator to 1.15 format */
-  /* Store the result in the destination */
-  arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t in;                                      /* temporary variable to store the input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute sum of the squares and then store the results in a temporary variable, sum */
-    in = *pSrc++;
-    sum += ((q31_t) in * in);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Truncating and saturating the accumulator to 1.15 format */
-  /* Store the result in the destination */
-  arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of RMS group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q31.c
deleted file mode 100644
index eaca28d7..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q31.c
+++ /dev/null
@@ -1,150 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_rms_q31.c    
-*    
-* Description:	Root Mean Square of the elements of a Q31 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @addtogroup RMS        
- * @{        
- */
-
-
-/**        
- * @brief Root Mean Square of the elements of a Q31 vector.        
- * @param[in]       *pSrc points to the input vector        
- * @param[in]       blockSize length of the input vector        
- * @param[out]      *pResult rms value returned here        
- * @return none.        
- *        
- * @details        
- * Scaling and Overflow Behavior:        
- *        
- *\par        
- * The function is implemented using an internal 64-bit accumulator.        
- * The input is represented in 1.31 format, and intermediate multiplication        
- * yields a 2.62 format.        
- * The accumulator maintains full precision of the intermediate multiplication results,         
- * but provides only a single guard bit.        
- * There is no saturation on intermediate additions.        
- * If the accumulator overflows, it wraps around and distorts the result.         
- * In order to avoid overflows completely, the input signal must be scaled down by         
- * log2(blockSize) bits, as a total of blockSize additions are performed internally.         
- * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value.        
- *        
- */
-
-void arm_rms_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult)
-{
-  q63_t sum = 0;                                 /* accumulator */
-  q31_t in;                                      /* Temporary variable to store the input */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in1, in2, in3, in4;                      /* Temporary input variables */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 7 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute sum of the squares and then store the result in a temporary variable, sum */
-    /* read two samples from source buffer */
-    in1 = pSrc[0];
-    in2 = pSrc[1];
-
-    /* calculate power and accumulate to accumulator */
-    sum += (q63_t) in1 *in1;
-    sum += (q63_t) in2 *in2;
-
-    /* read two samples from source buffer */
-    in3 = pSrc[2];
-    in4 = pSrc[3];
-
-    /* calculate power and accumulate to accumulator */
-    sum += (q63_t) in3 *in3;
-    sum += (q63_t) in4 *in4;
-
-
-    /* update source buffer to process next samples */
-    pSrc += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 8, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute sum of the squares and then store the results in a temporary variable, sum */
-    in = *pSrc++;
-    sum += (q63_t) in *in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Convert data in 2.62 to 1.31 by 31 right shifts and saturate */
-  /* Compute Rms and store the result in the destination vector */
-  arm_sqrt_q31(clip_q63_to_q31((sum / (q63_t) blockSize) >> 31), pResult);
-}
-
-/**        
- * @} end of RMS group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_f32.c
deleted file mode 100644
index c73c707f..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_f32.c
+++ /dev/null
@@ -1,208 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_std_f32.c    
-*    
-* Description:	Standard deviation of the elements of a floating-point vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup STD Standard deviation    
- *    
- * Calculates the standard deviation of the elements in the input vector.     
- * The underlying algorithm is used:    
- *   
- * 
    
- * 	Result = sqrt((sumOfSquares - sum2 / blockSize) / (blockSize - 1))   
- *   
- *	   where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]   
- *   
- *	                   sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]   
- * 
   
- *    
- * There are separate functions for floating point, Q31, and Q15 data types.    
- */
-
-/**    
- * @addtogroup STD    
- * @{    
- */
-
-
-/**    
- * @brief Standard deviation of the elements of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult standard deviation value returned here    
- * @return none.    
- *    
- */
-
-
-void arm_std_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult)
-{
-  float32_t sum = 0.0f;                          /* Temporary result storage */
-  float32_t sumOfSquares = 0.0f;                 /* Sum of squares */
-  float32_t in;                                  /* input value */
-  uint32_t blkCnt;                               /* loop counter */
-   
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t meanOfSquares, mean, squareOfMean;
-
-	if(blockSize == 1)
-	{
-		*pResult = 0;
-		return;
-	}
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f);
-
-  /* Compute mean of all input values */
-  mean = sum / (float32_t) blockSize;
-
-  /* Compute square of mean */
-  squareOfMean = (mean * mean) * (((float32_t) blockSize) /
-                                  ((float32_t) blockSize - 1.0f));
-
-  /* Compute standard deviation and then store the result to the destination */
-  arm_sqrt_f32((meanOfSquares - squareOfMean), pResult);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t squareOfSum;                         /* Square of Sum */
-  float32_t var;                                 /* Temporary varaince storage */
-
-	if(blockSize == 1)
-	{
-		*pResult = 0;
-		return;
-	}
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++;
-    sumOfSquares += in * in;
-
-    /* C = (A[0] + A[1] + ... + A[blockSize-1]) */
-    /* Compute Sum of the input samples     
-     * and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute the square of sum */
-  squareOfSum = ((sum * sum) / (float32_t) blockSize);
-
-  /* Compute the variance */
-  var = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f));
-
-  /* Compute standard deviation and then store the result to the destination */
-  arm_sqrt_f32(var, pResult);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of STD group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q15.c
deleted file mode 100644
index 24054d34..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q15.c
+++ /dev/null
@@ -1,195 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_std_q15.c    
-*    
-* Description:	Standard deviation of an array of Q15 type.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup STD    
- * @{    
- */
-
-/**    
- * @brief Standard deviation of the elements of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult standard deviation value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * The input is represented in 1.15 format.   
- * Intermediate multiplication yields a 2.30 format, and this    
- * result is added without saturation to a 64-bit accumulator in 34.30 format.    
- * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower     
- * 15 bits, and then saturated to yield a result in 1.15 format.    
- */
-
-void arm_std_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult)
-{
-  q31_t sum = 0;                                 /* Accumulator */
-  q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
-  uint32_t blkCnt;                               /* loop counter */
-  q63_t sumOfSquares = 0;                        /* Accumulator */
-   
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in;                                      /* input value */
-  q15_t in1;                                     /* input value */
-
-	if(blockSize == 1)
-	{
-		*pResult = 0;
-		return;
-	}
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-    sumOfSquares = __SMLALD(in, in, sumOfSquares);
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-    sumOfSquares = __SMLALD(in, in, sumOfSquares);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in1 = *pSrc++;
-    sumOfSquares = __SMLALD(in1, in1, sumOfSquares);
-    sum += in1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1));
-
-  /* Compute square of mean */
-  squareOfMean = (q31_t) ((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
-
-  /* mean of the squares minus the square of the mean. */
-  /* Compute standard deviation and store the result to the destination */
-  arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15, 16u), pResult);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t in;                                      /* input value */
-
-	if(blockSize == 1)
-	{
-		*pResult = 0;
-		return;
-	}
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++;
-    sumOfSquares += (in * in);
-
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples     
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1));
-
-  /* Compute square of mean */
-  squareOfMean = (q31_t) ((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
-
-  /* mean of the squares minus the square of the mean. */
-  /* Compute standard deviation and store the result to the destination */
-  arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15, 16u), pResult);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-
-}
-
-/**    
- * @} end of STD group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q31.c
deleted file mode 100644
index f324273a..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q31.c
+++ /dev/null
@@ -1,186 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_std_q31.c    
-*    
-* Description:	Standard deviation of an array of Q31 type.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup STD    
- * @{    
- */
-
-
-/**    
- * @brief Standard deviation of the elements of a Q31 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult standard deviation value returned here    
- * @return none.    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- *\par    
- * The function is implemented using an internal 64-bit accumulator.        
- * The input is represented in 1.31 format, which is then downshifted by 8 bits
- * which yields 1.23, and intermediate multiplication yields a 2.46 format.        
- * The accumulator maintains full precision of the intermediate multiplication results,         
- * but provides only a 16 guard bits.        
- * There is no saturation on intermediate additions.        
- * If the accumulator overflows it wraps around and distorts the result.        
- * In order to avoid overflows completely the input signal must be scaled down by         
- * log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.  
- * After division, internal variables should be Q18.46 
- * Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. 
- *    
- */
-
-
-void arm_std_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult)
-{
-  q63_t sum = 0;                                 /* Accumulator */
-  q63_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
-  q31_t in;                                      /* input value */
-  uint32_t blkCnt;                               /* loop counter */
-  q63_t sumOfSquares = 0;                        /* Accumulator */
-
-	if(blockSize == 1)
-	{
-		*pResult = 0;
-		return;
-	}
-   
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++ >> 8;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++ >> 8;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++ >> 8;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++ >> 8;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++ >> 8;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++ >> 8;
-    sumOfSquares += ((q63_t) (in) * (in));
-
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples     
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  /* Compute square of mean */
-  squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1u));
-
-  /* Compute standard deviation and then store the result to the destination */
-  arm_sqrt_q31((meanOfSquares - squareOfMean) >> 15, pResult);
-
-}
-
-/**    
- * @} end of STD group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c
deleted file mode 100644
index 5f0ea7d7..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c
+++ /dev/null
@@ -1,204 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_var_f32.c    
-*    
-* Description:	Variance of the elements of a floating-point vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup variance  Variance    
- *    
- * Calculates the variance of the elements in the input vector.    
- * The underlying algorithm is used:    
- *    
- * 
    
- * 	Result = (sumOfSquares - sum2 / blockSize) / (blockSize - 1)   
- *   
- *	   where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]   
- *   
- *	                   sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]   
- * 
   
- *    
- * There are separate functions for floating point, Q31, and Q15 data types.    
- */
-
-/**    
- * @addtogroup variance    
- * @{    
- */
-
-
-/**    
- * @brief Variance of the elements of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult variance value returned here    
- * @return none.    
- *    
- */
-
-
-void arm_var_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult)
-{
-
-  float32_t sum = 0.0f;                          /* Temporary result storage */
-  float32_t sumOfSquares = 0.0f;                 /* Sum of squares */
-  float32_t in;                                  /* input value */
-  uint32_t blkCnt;                               /* loop counter */
-  
-#ifndef ARM_MATH_CM0_FAMILY
-   
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t meanOfSquares, mean, squareOfMean;   /* Temporary variables */
-
-	if(blockSize == 1)
-	{
-		*pResult = 0;
-		return;
-	}
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f);
-
-  /* Compute mean of all input values */
-  mean = sum / (float32_t) blockSize;
-
-  /* Compute square of mean */
-  squareOfMean = (mean * mean) * (((float32_t) blockSize) /
-                                  ((float32_t) blockSize - 1.0f));
-
-  /* Compute variance and then store the result to the destination */
-  *pResult = meanOfSquares - squareOfMean;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  float32_t squareOfSum;                         /* Square of Sum */
-
-	if(blockSize == 1)
-	{
-		*pResult = 0;
-		return;
-	}
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++;
-    sumOfSquares += in * in;
-
-    /* C = (A[0] + A[1] + ... + A[blockSize-1]) */
-    /* Compute Sum of the input samples     
-     * and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute the square of sum */
-  squareOfSum = ((sum * sum) / (float32_t) blockSize);
-
-  /* Compute the variance */
-  *pResult = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f));
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of variance group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q15.c
deleted file mode 100644
index 94fcef9a..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q15.c
+++ /dev/null
@@ -1,195 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_var_q15.c    
-*    
-* Description:	Variance of an array of Q15 type.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup variance    
- * @{    
- */
-
-/**    
- * @brief Variance of the elements of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult variance value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * The input is represented in 1.15 format.   
- * Intermediate multiplication yields a 2.30 format, and this    
- * result is added without saturation to a 64-bit accumulator in 34.30 format.    
- * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower     
- * 15 bits, and then saturated to yield a result in 1.15 format.    
- *    
- */
-
-
-void arm_var_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult)
-{
-
-  q31_t sum = 0;                                 /* Accumulator */
-  q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
-  uint32_t blkCnt;                               /* loop counter */
-  q63_t sumOfSquares = 0;                        /* Accumulator */
-   
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in;                                      /* input value */
-  q15_t in1;                                     /* input value */
-
-	if(blockSize == 1)
-	{
-		*pResult = 0;
-		return;
-	}
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-    sumOfSquares = __SMLALD(in, in, sumOfSquares);
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-    sumOfSquares = __SMLALD(in, in, sumOfSquares);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in1 = *pSrc++;
-    sumOfSquares = __SMLALD(in1, in1, sumOfSquares);
-    sum += in1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1));
-
-  /* Compute square of mean */
-  squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
-
-  /* mean of the squares minus the square of the mean. */
-  *pResult = (meanOfSquares - squareOfMean) >> 15;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t in;                                      /* input value */
-
-	if(blockSize == 1)
-	{
-		*pResult = 0;
-		return;
-	}
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++;
-    sumOfSquares += (in * in);
-
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples     
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1));
-
-  /* Compute square of mean */
-  squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
-
-  /* mean of the squares minus the square of the mean. */
-  *pResult = (meanOfSquares - squareOfMean) >> 15;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of variance group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q31.c
deleted file mode 100644
index 6b9e2287..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q31.c
+++ /dev/null
@@ -1,187 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_var_q31.c    
-*    
-* Description:	Variance of an array of Q31 type.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupStats        
- */
-
-/**        
- * @addtogroup variance        
- * @{        
- */
-
-/**        
- * @brief Variance of the elements of a Q31 vector.        
- * @param[in]       *pSrc points to the input vector        
- * @param[in]       blockSize length of the input vector        
- * @param[out]      *pResult variance value returned here        
- * @return none.        
- *        
- * @details        
- * Scaling and Overflow Behavior:        
- *        
- *\par        
- * The function is implemented using an internal 64-bit accumulator.        
- * The input is represented in 1.31 format, which is then downshifted by 8 bits
- * which yields 1.23, and intermediate multiplication yields a 2.46 format.        
- * The accumulator maintains full precision of the intermediate multiplication results,         
- * but provides only a 16 guard bits.        
- * There is no saturation on intermediate additions.        
- * If the accumulator overflows it wraps around and distorts the result.        
- * In order to avoid overflows completely the input signal must be scaled down by         
- * log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.  
- * After division, internal variables should be Q18.46 
- * Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value.        
- *        
- */
-
-
-void arm_var_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult)
-{
-  q63_t sum = 0;                                 /* Accumulator */
-  q63_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
-  q31_t in;                                      /* input value */
-  uint32_t blkCnt;                               /* loop counter */
-  q63_t sumOfSquares = 0;                        /* Accumulator */
-
-	if(blockSize == 1)
-	{
-		*pResult = 0;
-		return;
-	}
-   
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++ >> 8;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++ >> 8;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++ >> 8;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++ >> 8;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++ >> 8;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++ >> 8;
-    sumOfSquares += ((q63_t) (in) * (in));
-
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples     
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  /* Compute square of mean */
-  squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1u));
-
-
-  /* Compute standard deviation and then store the result to the destination */
-  *pResult = (meanOfSquares - squareOfMean) >> 15;
-
-}
-
-/**        
- * @} end of variance group        
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_f32.c
deleted file mode 100644
index d6c846b6..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_f32.c
+++ /dev/null
@@ -1,135 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_copy_f32.c    
-*    
-* Description:	Copies the elements of a floating-point vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup copy Vector Copy    
- *    
- * Copies sample by sample from source vector to destination vector.    
- *    
- * 
    
- * 	pDst[n] = pSrc[n];   0 <= n < blockSize.    
- * 
    
- *   
- * There are separate functions for floating point, Q31, Q15, and Q7 data types.     
- */
-
-/**    
- * @addtogroup copy    
- * @{    
- */
-
-/**    
- * @brief Copies the elements of a floating-point vector.     
- * @param[in]       *pSrc points to input vector    
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the input vector   
- * @return none.    
- *    
- */
-
-
-void arm_copy_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t in1, in2, in3, in4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the results in the destination buffer */
-    in1 = *pSrc++;
-    in2 = *pSrc++;
-    in3 = *pSrc++;
-    in4 = *pSrc++;
-
-    *pDst++ = in1;
-    *pDst++ = in2;
-    *pDst++ = in3;
-    *pDst++ = in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the results in the destination buffer */
-    *pDst++ = *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of BasicCopy group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q15.c
deleted file mode 100644
index 5c6a391e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q15.c
+++ /dev/null
@@ -1,114 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_copy_q15.c    
-*    
-* Description:	Copies the elements of a Q15 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup copy    
- * @{    
- */
-/**    
- * @brief Copies the elements of a Q15 vector.     
- * @param[in]       *pSrc points to input vector    
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the input vector   
- * @return none.    
- *    
- */
-
-void arm_copy_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Read two inputs */
-    *__SIMD32(pDst)++ = *__SIMD32(pSrc)++;
-    *__SIMD32(pDst)++ = *__SIMD32(pSrc)++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the value in the destination buffer */
-    *pDst++ = *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of BasicCopy group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q31.c
deleted file mode 100644
index 0308cb84..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q31.c
+++ /dev/null
@@ -1,123 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_copy_q31.c    
-*    
-* Description:	Copies the elements of a Q31 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup copy    
- * @{    
- */
-
-/**    
- * @brief Copies the elements of a Q31 vector.     
- * @param[in]       *pSrc points to input vector    
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the input vector   
- * @return none.    
- *    
- */
-
-void arm_copy_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2, in3, in4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the values in the destination buffer */
-    in1 = *pSrc++;
-    in2 = *pSrc++;
-    in3 = *pSrc++;
-    in4 = *pSrc++;
-
-    *pDst++ = in1;
-    *pDst++ = in2;
-    *pDst++ = in3;
-    *pDst++ = in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the value in the destination buffer */
-    *pDst++ = *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of BasicCopy group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q7.c
deleted file mode 100644
index e2731440..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q7.c
+++ /dev/null
@@ -1,115 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_copy_q7.c    
-*    
-* Description:	Copies the elements of a Q7 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup copy    
- * @{    
- */
-
-/**    
- * @brief Copies the elements of a Q7 vector.    
- * @param[in]       *pSrc points to input vector    
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the input vector   
- * @return none.    
- *    
- */
-
-void arm_copy_q7(
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the results in the destination buffer */
-    /* 4 samples are copied and stored at a time using SIMD */
-    *__SIMD32(pDst)++ = *__SIMD32(pSrc)++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the results in the destination buffer */
-    *pDst++ = *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of BasicCopy group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_f32.c
deleted file mode 100644
index c8ea2dcd..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_f32.c
+++ /dev/null
@@ -1,134 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fill_f32.c    
-*    
-* Description:	Fills a constant value into a floating-point vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup Fill Vector Fill    
- *    
- * Fills the destination vector with a constant value.    
- *    
- * 
    
- * 	pDst[n] = value;   0 <= n < blockSize.    
- * 
    
- *   
- * There are separate functions for floating point, Q31, Q15, and Q7 data types.     
- */
-
-/**    
- * @addtogroup Fill    
- * @{    
- */
-
-/**    
- * @brief Fills a constant value into a floating-point vector.     
- * @param[in]       value input value to be filled   
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the output vector   
- * @return none.    
- *    
- */
-
-
-void arm_fill_f32(
-  float32_t value,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t in1 = value;
-  float32_t in2 = value;
-  float32_t in3 = value;
-  float32_t in4 = value;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = in1;
-    *pDst++ = in2;
-    *pDst++ = in3;
-    *pDst++ = in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = value;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of Fill group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q15.c
deleted file mode 100644
index 5b306a9b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q15.c
+++ /dev/null
@@ -1,120 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fill_q15.c    
-*    
-* Description:	Fills a constant value into a Q15 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup Fill    
- * @{    
- */
-
-/**    
- * @brief Fills a constant value into a Q15 vector.    
- * @param[in]       value input value to be filled   
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the output vector   
- * @return none.    
- *    
- */
-
-void arm_fill_q15(
-  q15_t value,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t packedValue;                             /* value packed to 32 bits */
-
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* Packing two 16 bit values to 32 bit value in order to use SIMD */
-  packedValue = __PKHBT(value, value, 16u);
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *__SIMD32(pDst)++ = packedValue;
-    *__SIMD32(pDst)++ = packedValue;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = value;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of Fill group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q31.c
deleted file mode 100644
index 84068b2e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q31.c
+++ /dev/null
@@ -1,121 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fill_q31.c    
-*    
-* Description:	Fills a constant value into a Q31 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup Fill    
- * @{    
- */
-
-/**    
- * @brief Fills a constant value into a Q31 vector.    
- * @param[in]       value input value to be filled   
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the output vector   
- * @return none.    
- *    
- */
-
-void arm_fill_q31(
-  q31_t value,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1 = value;
-  q31_t in2 = value;
-  q31_t in3 = value;
-  q31_t in4 = value;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = in1;
-    *pDst++ = in2;
-    *pDst++ = in3;
-    *pDst++ = in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = value;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of Fill group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q7.c
deleted file mode 100644
index 88ced505..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q7.c
+++ /dev/null
@@ -1,118 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fill_q7.c    
-*    
-* Description:	Fills a constant value into a Q7 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup Fill    
- * @{    
- */
-
-/**    
- * @brief Fills a constant value into a Q7 vector.    
- * @param[in]       value input value to be filled   
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the output vector   
- * @return none.    
- *    
- */
-
-void arm_fill_q7(
-  q7_t value,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t packedValue;                             /* value packed to 32 bits */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* Packing four 8 bit values to 32 bit value in order to use SIMD */
-  packedValue = __PACKq7(value, value, value, value);
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *__SIMD32(pDst)++ = packedValue;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = value;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of Fill group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q15.c
deleted file mode 100644
index a2c486f4..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q15.c
+++ /dev/null
@@ -1,204 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_float_to_q15.c    
-*    
-* Description:	Converts the elements of the floating-point vector to Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup float_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the floating-point vector to Q15 vector.    
- * @param[in]       *pSrc points to the floating-point input vector    
- * @param[out]      *pDst points to the Q15 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- * \par   
- * The equation used for the conversion process is:    
- * 
    
- * 	pDst[n] = (q15_t)(pSrc[n] * 32768);   0 <= n < blockSize.    
- * 
    
- * \par Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
- * \note   
- * In order to apply rounding, the library should be rebuilt with the ROUNDING macro     
- * defined in the preprocessor section of project options.     
- *    
- */
-
-
-void arm_float_to_q15(
-  float32_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pIn = pSrc;                         /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifdef ARM_MATH_ROUNDING
-
-  float32_t in;
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-#else
-
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-#else
-
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0 ? 0.5f : -0.5f;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-#else
-
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of float_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q31.c
deleted file mode 100644
index d64609e7..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q31.c
+++ /dev/null
@@ -1,211 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_float_to_q31.c    
-*    
-* Description:	Converts the elements of the floating-point vector to Q31 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup float_to_x  Convert 32-bit floating point value    
- */
-
-/**    
- * @addtogroup float_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the floating-point vector to Q31 vector.    
- * @param[in]       *pSrc points to the floating-point input vector    
- * @param[out]      *pDst points to the Q31 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- *\par Description:    
- * \par   
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q31_t)(pSrc[n] * 2147483648);   0 <= n < blockSize.    
- * 
    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.    
- *   
- * \note In order to apply rounding, the library should be rebuilt with the ROUNDING macro     
- * defined in the preprocessor section of project options.     
- */
-
-
-void arm_float_to_q31(
-  float32_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pIn = pSrc;                         /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifdef ARM_MATH_ROUNDING
-
-  float32_t in;
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-
-    /* C = A * 32768 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-#else
-
-    /* C = A * 2147483648 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-
-    /* C = A * 2147483648 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-#else
-
-    /* C = A * 2147483648 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-
-    /* C = A * 2147483648 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5f : -0.5f;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-#else
-
-    /* C = A * 2147483648 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of float_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q7.c
deleted file mode 100644
index 7ecebdfa..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q7.c
+++ /dev/null
@@ -1,203 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_float_to_q7.c    
-*    
-* Description:	Converts the elements of the floating-point vector to Q7 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup float_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the floating-point vector to Q7 vector.    
- * @param[in]       *pSrc points to the floating-point input vector    
- * @param[out]      *pDst points to the Q7 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- *\par Description:    
- * \par   
- * The equation used for the conversion process is:    
- * 
    
- * 	pDst[n] = (q7_t)(pSrc[n] * 128);   0 <= n < blockSize.    
- * 
    
- * \par Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated.    
- * \note   
- * In order to apply rounding, the library should be rebuilt with the ROUNDING macro     
- * defined in the preprocessor section of project options.     
- */
-
-
-void arm_float_to_q7(
-  float32_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pIn = pSrc;                         /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifdef ARM_MATH_ROUNDING
-
-  float32_t in;
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 128);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
-
-    in = *pIn++;
-    in = (in * 128);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
-
-    in = *pIn++;
-    in = (in * 128);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
-
-    in = *pIn++;
-    in = (in * 128);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
-
-#else
-
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 128);
-    in += in > 0.0f ? 0.5f : -0.5f;
-    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
-
-#else
-
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 128.0f);
-    in += in > 0 ? 0.5f : -0.5f;
-    *pDst++ = (q7_t) (__SSAT((q31_t) (in), 8));
-
-#else
-
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    *pDst++ = (q7_t) __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
- * @} end of float_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_float.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_float.c
deleted file mode 100644
index bbaf38c1..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_float.c
+++ /dev/null
@@ -1,134 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q15_to_float.c    
-*    
-* Description:	Converts the elements of the Q15 vector to floating-point vector.     
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup q15_to_x  Convert 16-bit Integer value    
- */
-
-/**    
- * @addtogroup q15_to_x    
- * @{    
- */
-
-
-
-
-/**    
- * @brief  Converts the elements of the Q15 vector to floating-point vector.     
- * @param[in]       *pSrc points to the Q15 input vector    
- * @param[out]      *pDst points to the floating-point output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (float32_t) pSrc[n] / 32768;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q15_to_float(
-  q15_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 32768 */
-    /* convert from q15 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
-    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
-    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
-    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 32768 */
-    /* convert from q15 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of q15_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q31.c
deleted file mode 100644
index f046427d..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q31.c
+++ /dev/null
@@ -1,156 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q15_to_q31.c    
-*    
-* Description:	Converts the elements of the Q15 vector to Q31 vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q15_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q15 vector to Q31 vector.     
- * @param[in]       *pSrc points to the Q15 input vector    
- * @param[out]      *pDst points to the Q31 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:   
- *   
- * 
    
- * 	pDst[n] = (q31_t) pSrc[n] << 16;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q15_to_q31(
-  q15_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2;
-  q31_t out1, out2, out3, out4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q31_t)A << 16 */
-    /* convert from q15 to q31 and then store the results in the destination buffer */
-    in1 = *__SIMD32(pIn)++;
-    in2 = *__SIMD32(pIn)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* extract lower 16 bits to 32 bit result */
-    out1 = in1 << 16u;
-    /* extract upper 16 bits to 32 bit result */
-    out2 = in1 & 0xFFFF0000;
-    /* extract lower 16 bits to 32 bit result */
-    out3 = in2 << 16u;
-    /* extract upper 16 bits to 32 bit result */
-    out4 = in2 & 0xFFFF0000;
-
-#else
-
-    /* extract upper 16 bits to 32 bit result */
-    out1 = in1 & 0xFFFF0000;
-    /* extract lower 16 bits to 32 bit result */
-    out2 = in1 << 16u;
-    /* extract upper 16 bits to 32 bit result */
-    out3 = in2 & 0xFFFF0000;
-    /* extract lower 16 bits to 32 bit result */
-    out4 = in2 << 16u;
-
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
-
-    *pDst++ = out1;
-    *pDst++ = out2;
-    *pDst++ = out3;
-    *pDst++ = out4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q31_t)A << 16 */
-    /* convert from q15 to q31 and then store the results in the destination buffer */
-    *pDst++ = (q31_t) * pIn++ << 16;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q15_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q7.c
deleted file mode 100644
index 9b91c362..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q7.c
+++ /dev/null
@@ -1,154 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q15_to_q7.c    
-*    
-* Description:	Converts the elements of the Q15 vector to Q7 vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q15_to_x    
- * @{    
- */
-
-
-/**    
- * @brief Converts the elements of the Q15 vector to Q7 vector.     
- * @param[in]       *pSrc points to the Q15 input vector    
- * @param[out]      *pDst points to the Q7 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q7_t) pSrc[n] >> 8;   0 <= n < blockSize.    
- * 
   
- *   
- */
-
-
-void arm_q15_to_q7(
-  q15_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2;
-  q31_t out1, out2;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q7_t) A >> 8 */
-    /* convert from q15 to q7 and then store the results in the destination buffer */
-    in1 = *__SIMD32(pIn)++;
-    in2 = *__SIMD32(pIn)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __PKHTB(in2, in1, 16);
-    out2 = __PKHBT(in2, in1, 16);
-
-#else
-
-    out1 = __PKHTB(in1, in2, 16);
-    out2 = __PKHBT(in1, in2, 16);
-
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
-
-    /* rotate packed value by 24 */
-    out2 = ((uint32_t) out2 << 8) | ((uint32_t) out2 >> 24);
-
-    /* anding with 0xff00ff00 to get two 8 bit values */
-    out1 = out1 & 0xFF00FF00;
-    /* anding with 0x00ff00ff to get two 8 bit values */
-    out2 = out2 & 0x00FF00FF;
-
-    /* oring two values(contains two 8 bit values) to get four packed 8 bit values */
-    out1 = out1 | out2;
-
-    /* store 4 samples at a time to destiantion buffer */
-    *__SIMD32(pDst)++ = out1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q7_t) A >> 8 */
-    /* convert from q15 to q7 and then store the results in the destination buffer */
-    *pDst++ = (q7_t) (*pIn++ >> 8);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q15_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_float.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_float.c
deleted file mode 100644
index 59494741..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_float.c
+++ /dev/null
@@ -1,131 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q31_to_float.c    
-*    
-* Description:	Converts the elements of the Q31 vector to floating-point vector.      
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup q31_to_x  Convert 32-bit Integer value    
- */
-
-/**    
- * @addtogroup q31_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q31 vector to floating-point vector.    
- * @param[in]       *pSrc points to the Q31 input vector    
- * @param[out]      *pDst points to the floating-point output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (float32_t) pSrc[n] / 2147483648;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q31_to_float(
-  q31_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 2147483648 */
-    /* convert from q31 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
-    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
-    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
-    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 2147483648 */
-    /* convert from q31 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of q31_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q15.c
deleted file mode 100644
index 33222bc2..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q15.c
+++ /dev/null
@@ -1,145 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q31_to_q15.c    
-*    
-* Description:	Converts the elements of the Q31 vector to Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q31_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q31 vector to Q15 vector.    
- * @param[in]       *pSrc points to the Q31 input vector    
- * @param[out]      *pDst points to the Q15 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *     
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q15_t) pSrc[n] >> 16;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q31_to_q15(
-  q31_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2, in3, in4;
-  q31_t out1, out2;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q15_t) A >> 16 */
-    /* convert from q31 to q15 and then store the results in the destination buffer */
-    in1 = *pIn++;
-    in2 = *pIn++;
-    in3 = *pIn++;
-    in4 = *pIn++;
-
-    /* pack two higher 16-bit values from two 32-bit values */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __PKHTB(in2, in1, 16);
-    out2 = __PKHTB(in4, in3, 16);
-
-#else
-
-    out1 = __PKHTB(in1, in2, 16);
-    out2 = __PKHTB(in3, in4, 16);
-
-#endif //      #ifdef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst)++ = out1;
-    *__SIMD32(pDst)++ = out2;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q15_t) A >> 16 */
-    /* convert from q31 to q15 and then store the results in the destination buffer */
-    *pDst++ = (q15_t) (*pIn++ >> 16);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q31_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q7.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q7.c
deleted file mode 100644
index d90898a3..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q7.c
+++ /dev/null
@@ -1,136 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q31_to_q7.c    
-*    
-* Description:	Converts the elements of the Q31 vector to Q7 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q31_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q31 vector to Q7 vector.    
- * @param[in]       *pSrc points to the Q31 input vector    
- * @param[out]      *pDst points to the Q7 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q7_t) pSrc[n] >> 24;   0 <= n < blockSize.     
- * 
    
- *   
- */
-
-
-void arm_q31_to_q7(
-  q31_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2, in3, in4;
-  q7_t out1, out2, out3, out4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q7_t) A >> 24 */
-    /* convert from q31 to q7 and then store the results in the destination buffer */
-    in1 = *pIn++;
-    in2 = *pIn++;
-    in3 = *pIn++;
-    in4 = *pIn++;
-
-    out1 = (q7_t) (in1 >> 24);
-    out2 = (q7_t) (in2 >> 24);
-    out3 = (q7_t) (in3 >> 24);
-    out4 = (q7_t) (in4 >> 24);
-
-    *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q7_t) A >> 24 */
-    /* convert from q31 to q7 and then store the results in the destination buffer */
-    *pDst++ = (q7_t) (*pIn++ >> 24);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q31_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_float.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_float.c
deleted file mode 100644
index f984cf00..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_float.c
+++ /dev/null
@@ -1,131 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q7_to_float.c    
-*    
-* Description:	Converts the elements of the Q7 vector to floating-point vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup q7_to_x  Convert 8-bit Integer value    
- */
-
-/**    
- * @addtogroup q7_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q7 vector to floating-point vector.    
- * @param[in]       *pSrc points to the Q7 input vector    
- * @param[out]      *pDst points to the floating-point output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *		     
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (float32_t) pSrc[n] / 128;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q7_to_float(
-  q7_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  q7_t *pIn = pSrc;                              /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 128 */
-    /* convert from q7 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 128.0f);
-    *pDst++ = ((float32_t) * pIn++ / 128.0f);
-    *pDst++ = ((float32_t) * pIn++ / 128.0f);
-    *pDst++ = ((float32_t) * pIn++ / 128.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 128 */
-    /* convert from q7 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 128.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of q7_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q15.c
deleted file mode 100644
index bba084c1..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q15.c
+++ /dev/null
@@ -1,157 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q7_to_q15.c    
-*    
-* Description:	Converts the elements of the Q7 vector to Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q7_to_x    
- * @{    
- */
-
-
-
-
-/**    
- * @brief Converts the elements of the Q7 vector to Q15 vector.    
- * @param[in]       *pSrc points to the Q7 input vector    
- * @param[out]      *pDst points to the Q15 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q15_t) pSrc[n] << 8;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q7_to_q15(
-  q7_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q7_t *pIn = pSrc;                              /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-  q31_t in;
-  q31_t in1, in2;
-  q31_t out1, out2;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q15_t) A << 8 */
-    /* convert from q7 to q15 and then store the results in the destination buffer */
-    in = *__SIMD32(pIn)++;
-
-    /* rotatate in by 8 and extend two q7_t values to q15_t values */
-    in1 = __SXTB16(__ROR(in, 8));
-
-    /* extend remainig two q7_t values to q15_t values */
-    in2 = __SXTB16(in);
-
-    in1 = in1 << 8u;
-    in2 = in2 << 8u;
-
-    in1 = in1 & 0xFF00FF00;
-    in2 = in2 & 0xFF00FF00;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out2 = __PKHTB(in1, in2, 16);
-    out1 = __PKHBT(in2, in1, 16);
-
-#else
-
-    out1 = __PKHTB(in1, in2, 16);
-    out2 = __PKHBT(in2, in1, 16);
-
-#endif
-
-    *__SIMD32(pDst)++ = out1;
-    *__SIMD32(pDst)++ = out2;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q15_t) A << 8 */
-    /* convert from q7 to q15 and then store the results in the destination buffer */
-    *pDst++ = (q15_t) * pIn++ << 8;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q7_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q31.c
deleted file mode 100644
index 0519d92d..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q31.c
+++ /dev/null
@@ -1,142 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q7_to_q31.c    
-*    
-* Description:	Converts the elements of the Q7 vector to Q31 vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q7_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q7 vector to Q31 vector.    
- * @param[in]       *pSrc points to the Q7 input vector    
- * @param[out]      *pDst points to the Q31 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q31_t) pSrc[n] << 24;   0 <= n < blockSize.   
- * 
     
- *   
- */
-
-
-void arm_q7_to_q31(
-  q7_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q7_t *pIn = pSrc;                              /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  q31_t in;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q31_t) A << 24 */
-    /* convert from q7 to q31 and then store the results in the destination buffer */
-    in = *__SIMD32(pIn)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *pDst++ = (__ROR(in, 8)) & 0xFF000000;
-    *pDst++ = (__ROR(in, 16)) & 0xFF000000;
-    *pDst++ = (__ROR(in, 24)) & 0xFF000000;
-    *pDst++ = (in & 0xFF000000);
-
-#else
-
-    *pDst++ = (in & 0xFF000000);
-    *pDst++ = (__ROR(in, 24)) & 0xFF000000;
-    *pDst++ = (__ROR(in, 16)) & 0xFF000000;
-    *pDst++ = (__ROR(in, 8)) & 0xFF000000;
-
-#endif //              #ifndef ARM_MATH_BIG_ENDIAN
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q31_t) A << 24 */
-    /* convert from q7 to q31 and then store the results in the destination buffer */
-    *pDst++ = (q31_t) * pIn++ << 24;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q7_to_x group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_bitreversal.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_bitreversal.c
deleted file mode 100644
index 0404ea84..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_bitreversal.c
+++ /dev/null
@@ -1,242 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_bitreversal.c    
-*    
-* Description:	This file has common tables like Bitreverse, reciprocal etc which are used across different functions    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/*    
-* @brief  In-place bit reversal function.   
-* @param[in, out] *pSrc        points to the in-place buffer of floating-point data type.   
-* @param[in]      fftSize      length of the FFT.   
-* @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table.   
-* @param[in]      *pBitRevTab  points to the bit reversal table.   
-* @return none.   
-*/
-
-void arm_bitreversal_f32(
-float32_t * pSrc,
-uint16_t fftSize,
-uint16_t bitRevFactor,
-uint16_t * pBitRevTab)
-{
-   uint16_t fftLenBy2, fftLenBy2p1;
-   uint16_t i, j;
-   float32_t in;
-
-   /*  Initializations */
-   j = 0u;
-   fftLenBy2 = fftSize >> 1u;
-   fftLenBy2p1 = (fftSize >> 1u) + 1u;
-
-   /* Bit Reversal Implementation */
-   for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
-   {
-      if(i < j)
-      {
-         /*  pSrc[i] <-> pSrc[j]; */
-         in = pSrc[2u * i];
-         pSrc[2u * i] = pSrc[2u * j];
-         pSrc[2u * j] = in;
-
-         /*  pSrc[i+1u] <-> pSrc[j+1u] */
-         in = pSrc[(2u * i) + 1u];
-         pSrc[(2u * i) + 1u] = pSrc[(2u * j) + 1u];
-         pSrc[(2u * j) + 1u] = in;
-
-         /*  pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */
-         in = pSrc[2u * (i + fftLenBy2p1)];
-         pSrc[2u * (i + fftLenBy2p1)] = pSrc[2u * (j + fftLenBy2p1)];
-         pSrc[2u * (j + fftLenBy2p1)] = in;
-
-         /*  pSrc[i+fftLenBy2p1+1u] <-> pSrc[j+fftLenBy2p1+1u] */
-         in = pSrc[(2u * (i + fftLenBy2p1)) + 1u];
-         pSrc[(2u * (i + fftLenBy2p1)) + 1u] =
-         pSrc[(2u * (j + fftLenBy2p1)) + 1u];
-         pSrc[(2u * (j + fftLenBy2p1)) + 1u] = in;
-
-      }
-
-      /*  pSrc[i+1u] <-> pSrc[j+1u] */
-      in = pSrc[2u * (i + 1u)];
-      pSrc[2u * (i + 1u)] = pSrc[2u * (j + fftLenBy2)];
-      pSrc[2u * (j + fftLenBy2)] = in;
-
-      /*  pSrc[i+2u] <-> pSrc[j+2u] */
-      in = pSrc[(2u * (i + 1u)) + 1u];
-      pSrc[(2u * (i + 1u)) + 1u] = pSrc[(2u * (j + fftLenBy2)) + 1u];
-      pSrc[(2u * (j + fftLenBy2)) + 1u] = in;
-
-      /*  Reading the index for the bit reversal */
-      j = *pBitRevTab;
-
-      /*  Updating the bit reversal index depending on the fft length  */
-      pBitRevTab += bitRevFactor;
-   }
-}
-
-
-
-/*    
-* @brief  In-place bit reversal function.   
-* @param[in, out] *pSrc        points to the in-place buffer of Q31 data type.   
-* @param[in]      fftLen       length of the FFT.   
-* @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table   
-* @param[in]      *pBitRevTab  points to bit reversal table.   
-* @return none.   
-*/
-
-void arm_bitreversal_q31(
-q31_t * pSrc,
-uint32_t fftLen,
-uint16_t bitRevFactor,
-uint16_t * pBitRevTable)
-{
-   uint32_t fftLenBy2, fftLenBy2p1, i, j;
-   q31_t in;
-
-   /*  Initializations      */
-   j = 0u;
-   fftLenBy2 = fftLen / 2u;
-   fftLenBy2p1 = (fftLen / 2u) + 1u;
-
-   /* Bit Reversal Implementation */
-   for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
-   {
-      if(i < j)
-      {
-         /*  pSrc[i] <-> pSrc[j]; */
-         in = pSrc[2u * i];
-         pSrc[2u * i] = pSrc[2u * j];
-         pSrc[2u * j] = in;
-
-         /*  pSrc[i+1u] <-> pSrc[j+1u] */
-         in = pSrc[(2u * i) + 1u];
-         pSrc[(2u * i) + 1u] = pSrc[(2u * j) + 1u];
-         pSrc[(2u * j) + 1u] = in;
-
-         /*  pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */
-         in = pSrc[2u * (i + fftLenBy2p1)];
-         pSrc[2u * (i + fftLenBy2p1)] = pSrc[2u * (j + fftLenBy2p1)];
-         pSrc[2u * (j + fftLenBy2p1)] = in;
-
-         /*  pSrc[i+fftLenBy2p1+1u] <-> pSrc[j+fftLenBy2p1+1u] */
-         in = pSrc[(2u * (i + fftLenBy2p1)) + 1u];
-         pSrc[(2u * (i + fftLenBy2p1)) + 1u] =
-         pSrc[(2u * (j + fftLenBy2p1)) + 1u];
-         pSrc[(2u * (j + fftLenBy2p1)) + 1u] = in;
-
-      }
-
-      /*  pSrc[i+1u] <-> pSrc[j+1u] */
-      in = pSrc[2u * (i + 1u)];
-      pSrc[2u * (i + 1u)] = pSrc[2u * (j + fftLenBy2)];
-      pSrc[2u * (j + fftLenBy2)] = in;
-
-      /*  pSrc[i+2u] <-> pSrc[j+2u] */
-      in = pSrc[(2u * (i + 1u)) + 1u];
-      pSrc[(2u * (i + 1u)) + 1u] = pSrc[(2u * (j + fftLenBy2)) + 1u];
-      pSrc[(2u * (j + fftLenBy2)) + 1u] = in;
-
-      /*  Reading the index for the bit reversal */
-      j = *pBitRevTable;
-
-      /*  Updating the bit reversal index depending on the fft length */
-      pBitRevTable += bitRevFactor;
-   }
-}
-
-
-
-/*    
-   * @brief  In-place bit reversal function.   
-   * @param[in, out] *pSrc        points to the in-place buffer of Q15 data type.   
-   * @param[in]      fftLen       length of the FFT.   
-   * @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table   
-   * @param[in]      *pBitRevTab  points to bit reversal table.   
-   * @return none.   
-*/
-
-void arm_bitreversal_q15(
-q15_t * pSrc16,
-uint32_t fftLen,
-uint16_t bitRevFactor,
-uint16_t * pBitRevTab)
-{
-   q31_t *pSrc = (q31_t *) pSrc16;
-   q31_t in;
-   uint32_t fftLenBy2, fftLenBy2p1;
-   uint32_t i, j;
-
-   /*  Initializations */
-   j = 0u;
-   fftLenBy2 = fftLen / 2u;
-   fftLenBy2p1 = (fftLen / 2u) + 1u;
-
-   /* Bit Reversal Implementation */
-   for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
-   {
-      if(i < j)
-      {
-         /*  pSrc[i] <-> pSrc[j]; */
-         /*  pSrc[i+1u] <-> pSrc[j+1u] */
-         in = pSrc[i];
-         pSrc[i] = pSrc[j];
-         pSrc[j] = in;
-
-         /*  pSrc[i + fftLenBy2p1] <-> pSrc[j + fftLenBy2p1];  */
-         /*  pSrc[i + fftLenBy2p1+1u] <-> pSrc[j + fftLenBy2p1+1u] */
-         in = pSrc[i + fftLenBy2p1];
-         pSrc[i + fftLenBy2p1] = pSrc[j + fftLenBy2p1];
-         pSrc[j + fftLenBy2p1] = in;
-      }
-
-      /*  pSrc[i+1u] <-> pSrc[j+fftLenBy2];         */
-      /*  pSrc[i+2] <-> pSrc[j+fftLenBy2+1u]  */
-      in = pSrc[i + 1u];
-      pSrc[i + 1u] = pSrc[j + fftLenBy2];
-      pSrc[j + fftLenBy2] = in;
-
-      /*  Reading the index for the bit reversal */
-      j = *pBitRevTab;
-
-      /*  Updating the bit reversal index depending on the fft length  */
-      pBitRevTab += bitRevFactor;
-   }
-}
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_bitreversal2.S b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_bitreversal2.S
deleted file mode 100644
index 08c5d759..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_bitreversal2.S
+++ /dev/null
@@ -1,211 +0,0 @@
-;/* ----------------------------------------------------------------------
-;* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
-;*
-;* $Date:       19. March 2015 
-;* $Revision: 	V.1.4.5
-;*
-;* Project: 	CMSIS DSP Library
-;* Title:	    arm_bitreversal2.S
-;*
-;* Description:	This is the arm_bitreversal_32 function done in
-;*              assembly for maximum speed.  This function is called
-;*              after doing an fft to reorder the output.  The function
-;*              is loop unrolled by 2. arm_bitreversal_16 as well.
-;*
-;* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-;*
-;* Redistribution and use in source and binary forms, with or without
-;* modification, are permitted provided that the following conditions
-;* are met:
-;*   - Redistributions of source code must retain the above copyright
-;*     notice, this list of conditions and the following disclaimer.
-;*   - Redistributions in binary form must reproduce the above copyright
-;*     notice, this list of conditions and the following disclaimer in
-;*     the documentation and/or other materials provided with the
-;*     distribution.
-;*   - Neither the name of ARM LIMITED nor the names of its contributors
-;*     may be used to endorse or promote products derived from this
-;*     software without specific prior written permission.
-;*
-;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-;* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-;* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-;* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-;* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-;* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-;* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-;* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-;* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-;* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-;* POSSIBILITY OF SUCH DAMAGE.
-;* -------------------------------------------------------------------- */
-#if defined(__CC_ARM)       // Keil
-    #define CODESECT AREA     ||.text||, CODE, READONLY, ALIGN=2
-    #define LABEL
-#elif defined(__IASMARM__)  // IAR
-    #define CODESECT SECTION `.text`:CODE
-    #define PROC
-    #define LABEL
-    #define ENDP
-    #define EXPORT PUBLIC
-#elif defined(__CSMC__)		/* Cosmic */
-	#define	CODESECT	switch .text
-	#define THUMB
-	#define EXPORT	xdef
-	#define PROC	:
-	#define LABEL	:
-	#define ENDP
-	#define arm_bitreversal_32 _arm_bitreversal_32
-#elif defined (__GNUC__)    // GCC
-    #define THUMB .thumb
-    #define CODESECT .section .text
-    #define EXPORT .global
-    #define PROC :
-    #define LABEL :
-    #define ENDP
-    #define END
-
-    .syntax unified
-#endif
-
-	CODESECT
-	THUMB
-
-;/*
-;* @brief  In-place bit reversal function.
-;* @param[in, out] *pSrc        points to the in-place buffer of unknown 32-bit data type.
-;* @param[in]      bitRevLen    bit reversal table length
-;* @param[in]      *pBitRevTab  points to bit reversal table.
-;* @return none.
-;*/
-	EXPORT arm_bitreversal_32
-	EXPORT arm_bitreversal_16
-
-#if defined(ARM_MATH_CM0) || defined(ARM_MATH_CM0PLUS)
-
-arm_bitreversal_32 PROC
-	ADDS     r3,r1,#1
-	PUSH     {r4-r6}
-	ADDS     r1,r2,#0
-	LSRS     r3,r3,#1
-arm_bitreversal_32_0 LABEL
-	LDRH     r2,[r1,#2]
-	LDRH     r6,[r1,#0]
-	ADD      r2,r0,r2
-	ADD      r6,r0,r6
-	LDR      r5,[r2,#0]
-	LDR      r4,[r6,#0]
-	STR      r5,[r6,#0]
-	STR      r4,[r2,#0]
-	LDR      r5,[r2,#4]
-	LDR      r4,[r6,#4]
-	STR      r5,[r6,#4]
-	STR      r4,[r2,#4]
-	ADDS     r1,r1,#4
-	SUBS     r3,r3,#1
-	BNE      arm_bitreversal_32_0
-	POP      {r4-r6}
-	BX       lr
-	ENDP
-
-arm_bitreversal_16 PROC
-	ADDS     r3,r1,#1
-	PUSH     {r4-r6}
-	ADDS     r1,r2,#0
-	LSRS     r3,r3,#1
-arm_bitreversal_16_0 LABEL
-	LDRH     r2,[r1,#2]
-	LDRH     r6,[r1,#0]
-    LSRS     r2,r2,#1
-    LSRS     r6,r6,#1
-	ADD      r2,r0,r2
-	ADD      r6,r0,r6
-	LDR      r5,[r2,#0]
-	LDR      r4,[r6,#0]
-	STR      r5,[r6,#0]
-	STR      r4,[r2,#0]
-	ADDS     r1,r1,#4
-	SUBS     r3,r3,#1
-	BNE      arm_bitreversal_16_0
-	POP      {r4-r6}
-	BX       lr
-	ENDP
-
-#else
-
-arm_bitreversal_32 PROC
-	ADDS     r3,r1,#1
-	CMP      r3,#1
-	IT       LS
-	BXLS     lr
-	PUSH     {r4-r9}
-	ADDS     r1,r2,#2
-	LSRS     r3,r3,#2
-arm_bitreversal_32_0 LABEL       ;/* loop unrolled by 2 */
-	LDRH     r8,[r1,#4]
-	LDRH     r9,[r1,#2]
-	LDRH     r2,[r1,#0]
-	LDRH     r12,[r1,#-2]
-	ADD      r8,r0,r8
-	ADD      r9,r0,r9
-	ADD      r2,r0,r2
-	ADD      r12,r0,r12
-	LDR      r7,[r9,#0]
-	LDR      r6,[r8,#0]
-	LDR      r5,[r2,#0]
-	LDR      r4,[r12,#0]
-	STR      r6,[r9,#0]
-	STR      r7,[r8,#0]
-	STR      r5,[r12,#0]
-	STR      r4,[r2,#0]
-	LDR      r7,[r9,#4]
-	LDR      r6,[r8,#4]
-	LDR      r5,[r2,#4]
-	LDR      r4,[r12,#4]
-	STR      r6,[r9,#4]
-	STR      r7,[r8,#4]
-	STR      r5,[r12,#4]
-	STR      r4,[r2,#4]
-	ADDS     r1,r1,#8
-	SUBS     r3,r3,#1
-	BNE      arm_bitreversal_32_0
-	POP      {r4-r9}
-	BX       lr
-	ENDP
-
-arm_bitreversal_16 PROC
-	ADDS     r3,r1,#1
-	CMP      r3,#1
-	IT       LS
-	BXLS     lr
-	PUSH     {r4-r9}
-	ADDS     r1,r2,#2
-	LSRS     r3,r3,#2
-arm_bitreversal_16_0 LABEL       ;/* loop unrolled by 2 */
-	LDRH     r8,[r1,#4]
-	LDRH     r9,[r1,#2]
-	LDRH     r2,[r1,#0]
-	LDRH     r12,[r1,#-2]
-	ADD      r8,r0,r8,LSR #1
-	ADD      r9,r0,r9,LSR #1
-	ADD      r2,r0,r2,LSR #1
-	ADD      r12,r0,r12,LSR #1
-	LDR      r7,[r9,#0]
-	LDR      r6,[r8,#0]
-	LDR      r5,[r2,#0]
-	LDR      r4,[r12,#0]
-	STR      r6,[r9,#0]
-	STR      r7,[r8,#0]
-	STR      r5,[r12,#0]
-	STR      r4,[r2,#0]
-	ADDS     r1,r1,#8
-	SUBS     r3,r3,#1
-	BNE      arm_bitreversal_16_0
-	POP      {r4-r9}
-	BX       lr
-	ENDP
-
-#endif
-
-	END
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_f32.c
deleted file mode 100644
index 5fb21b5e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_f32.c
+++ /dev/null
@@ -1,632 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_f32.c   
-*    
-* Description:	Combined Radix Decimation in Frequency CFFT Floating point processing function
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-extern void arm_radix8_butterfly_f32(
-    float32_t * pSrc,
-    uint16_t fftLen,
-    const float32_t * pCoef,
-    uint16_t twidCoefModifier);
-
-extern void arm_bitreversal_32(
-    uint32_t * pSrc,
-    const uint16_t bitRevLen,
-    const uint16_t * pBitRevTable);
-
-/**   
-* @ingroup groupTransforms   
-*/
-
-/**   
-* @defgroup ComplexFFT Complex FFT Functions   
-*   
-* \par
-* The Fast Fourier Transform (FFT) is an efficient algorithm for computing the
-* Discrete Fourier Transform (DFT).  The FFT can be orders of magnitude faster
-* than the DFT, especially for long lengths.
-* The algorithms described in this section
-* operate on complex data.  A separate set of functions is devoted to handling
-* of real sequences.
-* \par
-* There are separate algorithms for handling floating-point, Q15, and Q31 data
-* types.  The algorithms available for each data type are described next.
-* \par
-* The FFT functions operate in-place.  That is, the array holding the input data
-* will also be used to hold the corresponding result.  The input data is complex
-* and contains 2*fftLen interleaved values as shown below.
-* 
 {real[0], imag[0], real[1], imag[1],..} 

-* The FFT result will be contained in the same array and the frequency domain
-* values will have the same interleaving.
-*
-* \par Floating-point
-* The floating-point complex FFT uses a mixed-radix algorithm.  Multiple radix-8
-* stages are performed along with a single radix-2 or radix-4 stage, as needed.
-* The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
-* a different twiddle factor table.  
-* \par
-* The function uses the standard FFT definition and output values may grow by a
-* factor of fftLen when computing the forward transform.  The
-* inverse transform includes a scale of 1/fftLen as part of the
-* calculation and this matches the textbook definition of the inverse FFT.
-* \par
-* Pre-initialized data structures containing twiddle factors and bit reversal
-* tables are provided and defined in arm_const_structs.h.  Include 
-* this header in your function and then pass one of the constant structures as 
-* an argument to arm_cfft_f32.  For example:
-* \par
-* arm_cfft_f32(arm_cfft_sR_f32_len64, pSrc, 1, 1)
-* \par
-* computes a 64-point inverse complex FFT including bit reversal.
-* The data structures are treated as constant data and not modified during the
-* calculation.  The same data structure can be reused for multiple transforms
-* including mixing forward and inverse transforms.
-* \par
-* Earlier releases of the library provided separate radix-2 and radix-4
-* algorithms that operated on floating-point data.  These functions are still
-* provided but are deprecated.  The older functions are slower and less general
-* than the new functions.
-* \par
-* An example of initialization of the constants for the arm_cfft_f32 function follows:
-* \code
-* const static arm_cfft_instance_f32 *S;
-* ...
-*   switch (length) {
-*     case 16:
-*       S = &arm_cfft_sR_f32_len16;
-*       break;
-*     case 32:
-*       S = &arm_cfft_sR_f32_len32;
-*       break;
-*     case 64:
-*       S = &arm_cfft_sR_f32_len64;
-*       break;
-*     case 128:
-*       S = &arm_cfft_sR_f32_len128;
-*       break;
-*     case 256:
-*       S = &arm_cfft_sR_f32_len256;
-*       break;
-*     case 512:
-*       S = &arm_cfft_sR_f32_len512;
-*       break;
-*     case 1024:
-*       S = &arm_cfft_sR_f32_len1024;
-*       break;
-*     case 2048:
-*       S = &arm_cfft_sR_f32_len2048;
-*       break;
-*     case 4096:
-*       S = &arm_cfft_sR_f32_len4096;
-*       break;
-*   }
-* \endcode
-* \par Q15 and Q31
-* The floating-point complex FFT uses a mixed-radix algorithm.  Multiple radix-4
-* stages are performed along with a single radix-2 stage, as needed.
-* The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
-* a different twiddle factor table.  
-* \par
-* The function uses the standard FFT definition and output values may grow by a
-* factor of fftLen when computing the forward transform.  The
-* inverse transform includes a scale of 1/fftLen as part of the
-* calculation and this matches the textbook definition of the inverse FFT.
-* \par
-* Pre-initialized data structures containing twiddle factors and bit reversal
-* tables are provided and defined in arm_const_structs.h.  Include 
-* this header in your function and then pass one of the constant structures as 
-* an argument to arm_cfft_q31.  For example:
-* \par
-* arm_cfft_q31(arm_cfft_sR_q31_len64, pSrc, 1, 1)
-* \par
-* computes a 64-point inverse complex FFT including bit reversal.
-* The data structures are treated as constant data and not modified during the
-* calculation.  The same data structure can be reused for multiple transforms
-* including mixing forward and inverse transforms.
-* \par
-* Earlier releases of the library provided separate radix-2 and radix-4
-* algorithms that operated on floating-point data.  These functions are still
-* provided but are deprecated.  The older functions are slower and less general
-* than the new functions.
-* \par
-* An example of initialization of the constants for the arm_cfft_q31 function follows:
-* \code
-* const static arm_cfft_instance_q31 *S;
-* ...
-*   switch (length) {
-*     case 16:
-*       S = &arm_cfft_sR_q31_len16;
-*       break;
-*     case 32:
-*       S = &arm_cfft_sR_q31_len32;
-*       break;
-*     case 64:
-*       S = &arm_cfft_sR_q31_len64;
-*       break;
-*     case 128:
-*       S = &arm_cfft_sR_q31_len128;
-*       break;
-*     case 256:
-*       S = &arm_cfft_sR_q31_len256;
-*       break;
-*     case 512:
-*       S = &arm_cfft_sR_q31_len512;
-*       break;
-*     case 1024:
-*       S = &arm_cfft_sR_q31_len1024;
-*       break;
-*     case 2048:
-*       S = &arm_cfft_sR_q31_len2048;
-*       break;
-*     case 4096:
-*       S = &arm_cfft_sR_q31_len4096;
-*       break;
-*   }
-* \endcode
-* 
-*/
-
-void arm_cfft_radix8by2_f32( arm_cfft_instance_f32 * S, float32_t * p1) 
-{
-    uint32_t    L  = S->fftLen;
-    float32_t * pCol1, * pCol2, * pMid1, * pMid2;
-    float32_t * p2 = p1 + L;
-    const float32_t * tw = (float32_t *) S->pTwiddle;
-    float32_t t1[4], t2[4], t3[4], t4[4], twR, twI;
-    float32_t m0, m1, m2, m3;
-    uint32_t l;
-
-    pCol1 = p1;
-    pCol2 = p2;
-
-    //    Define new length
-    L >>= 1;
-    //    Initialize mid pointers
-    pMid1 = p1 + L;
-    pMid2 = p2 + L;
-
-    // do two dot Fourier transform
-    for ( l = L >> 2; l > 0; l-- ) 
-    {
-        t1[0] = p1[0];
-        t1[1] = p1[1];
-        t1[2] = p1[2];
-        t1[3] = p1[3];
-
-        t2[0] = p2[0];
-        t2[1] = p2[1];
-        t2[2] = p2[2];
-        t2[3] = p2[3];
-
-        t3[0] = pMid1[0];
-        t3[1] = pMid1[1];
-        t3[2] = pMid1[2];
-        t3[3] = pMid1[3];
-
-        t4[0] = pMid2[0];
-        t4[1] = pMid2[1];
-        t4[2] = pMid2[2];
-        t4[3] = pMid2[3];
-
-        *p1++ = t1[0] + t2[0];
-        *p1++ = t1[1] + t2[1];
-        *p1++ = t1[2] + t2[2];
-        *p1++ = t1[3] + t2[3];    // col 1
-
-        t2[0] = t1[0] - t2[0];
-        t2[1] = t1[1] - t2[1];
-        t2[2] = t1[2] - t2[2];
-        t2[3] = t1[3] - t2[3];    // for col 2
-
-        *pMid1++ = t3[0] + t4[0];
-        *pMid1++ = t3[1] + t4[1];
-        *pMid1++ = t3[2] + t4[2];
-        *pMid1++ = t3[3] + t4[3]; // col 1
-
-        t4[0] = t4[0] - t3[0];
-        t4[1] = t4[1] - t3[1];
-        t4[2] = t4[2] - t3[2];
-        t4[3] = t4[3] - t3[3];    // for col 2
-
-        twR = *tw++;
-        twI = *tw++;
-
-        // multiply by twiddle factors
-        m0 = t2[0] * twR;
-        m1 = t2[1] * twI;
-        m2 = t2[1] * twR;
-        m3 = t2[0] * twI;
-        
-        // R  =  R  *  Tr - I * Ti
-        *p2++ = m0 + m1;
-        // I  =  I  *  Tr + R * Ti
-        *p2++ = m2 - m3;
-        
-        // use vertical symmetry
-        //  0.9988 - 0.0491i <==> -0.0491 - 0.9988i
-        m0 = t4[0] * twI;
-        m1 = t4[1] * twR;
-        m2 = t4[1] * twI;
-        m3 = t4[0] * twR;
-        
-        *pMid2++ = m0 - m1;
-        *pMid2++ = m2 + m3;
-
-        twR = *tw++;
-        twI = *tw++;
-        
-        m0 = t2[2] * twR;
-        m1 = t2[3] * twI;
-        m2 = t2[3] * twR;
-        m3 = t2[2] * twI;
-        
-        *p2++ = m0 + m1;
-        *p2++ = m2 - m3;
-        
-        m0 = t4[2] * twI;
-        m1 = t4[3] * twR;
-        m2 = t4[3] * twI;
-        m3 = t4[2] * twR;
-        
-        *pMid2++ = m0 - m1;
-        *pMid2++ = m2 + m3;
-    }
-
-    // first col
-    arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 2u);
-    // second col
-    arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 2u);
-}
-
-void arm_cfft_radix8by4_f32( arm_cfft_instance_f32 * S, float32_t * p1) 
-{
-    uint32_t    L  = S->fftLen >> 1;
-    float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4;
-    const float32_t *tw2, *tw3, *tw4;
-    float32_t * p2 = p1 + L;
-    float32_t * p3 = p2 + L;
-    float32_t * p4 = p3 + L;
-    float32_t t2[4], t3[4], t4[4], twR, twI;
-    float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1;
-    float32_t m0, m1, m2, m3;
-    uint32_t l, twMod2, twMod3, twMod4;
-
-    pCol1 = p1;         // points to real values by default
-    pCol2 = p2;
-    pCol3 = p3;
-    pCol4 = p4;
-    pEnd1 = p2 - 1;     // points to imaginary values by default
-    pEnd2 = p3 - 1;
-    pEnd3 = p4 - 1;
-    pEnd4 = pEnd3 + L;
-
-    tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle;
-
-    L >>= 1;
-
-    // do four dot Fourier transform
-
-    twMod2 = 2;
-    twMod3 = 4;
-    twMod4 = 6;
-
-    // TOP
-    p1ap3_0 = p1[0] + p3[0];
-    p1sp3_0 = p1[0] - p3[0];
-    p1ap3_1 = p1[1] + p3[1];
-    p1sp3_1 = p1[1] - p3[1];
-
-    // col 2
-    t2[0] = p1sp3_0 + p2[1] - p4[1];
-    t2[1] = p1sp3_1 - p2[0] + p4[0];
-    // col 3
-    t3[0] = p1ap3_0 - p2[0] - p4[0];
-    t3[1] = p1ap3_1 - p2[1] - p4[1];
-    // col 4
-    t4[0] = p1sp3_0 - p2[1] + p4[1];
-    t4[1] = p1sp3_1 + p2[0] - p4[0];
-    // col 1
-    *p1++ = p1ap3_0 + p2[0] + p4[0];
-    *p1++ = p1ap3_1 + p2[1] + p4[1];
-
-    // Twiddle factors are ones
-    *p2++ = t2[0];
-    *p2++ = t2[1];
-    *p3++ = t3[0];
-    *p3++ = t3[1];
-    *p4++ = t4[0];
-    *p4++ = t4[1];
-
-    tw2 += twMod2;
-    tw3 += twMod3;
-    tw4 += twMod4;
-
-    for (l = (L - 2) >> 1; l > 0; l-- ) 
-    {
-        // TOP
-        p1ap3_0 = p1[0] + p3[0];
-        p1sp3_0 = p1[0] - p3[0];
-        p1ap3_1 = p1[1] + p3[1];
-        p1sp3_1 = p1[1] - p3[1];
-        // col 2
-        t2[0] = p1sp3_0 + p2[1] - p4[1];
-        t2[1] = p1sp3_1 - p2[0] + p4[0];
-        // col 3
-        t3[0] = p1ap3_0 - p2[0] - p4[0];
-        t3[1] = p1ap3_1 - p2[1] - p4[1];
-        // col 4
-        t4[0] = p1sp3_0 - p2[1] + p4[1];
-        t4[1] = p1sp3_1 + p2[0] - p4[0];
-        // col 1 - top
-        *p1++ = p1ap3_0 + p2[0] + p4[0];
-        *p1++ = p1ap3_1 + p2[1] + p4[1];
-
-        // BOTTOM
-        p1ap3_1 = pEnd1[-1] + pEnd3[-1];
-        p1sp3_1 = pEnd1[-1] - pEnd3[-1];
-        p1ap3_0 = pEnd1[0] + pEnd3[0];
-        p1sp3_0 = pEnd1[0] - pEnd3[0];
-        // col 2
-        t2[2] = pEnd2[0]  - pEnd4[0] + p1sp3_1;
-        t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1];
-        // col 3
-        t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1];
-        t3[3] = p1ap3_0 - pEnd2[0]  - pEnd4[0];
-        // col 4
-        t4[2] = pEnd2[0]  - pEnd4[0]  - p1sp3_1;
-        t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0;
-        // col 1 - Bottom
-        *pEnd1-- = p1ap3_0 + pEnd2[0] + pEnd4[0];
-        *pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1];
-
-        // COL 2
-        // read twiddle factors
-        twR = *tw2++;
-        twI = *tw2++;
-        // multiply by twiddle factors
-        //  let    Z1 = a + i(b),   Z2 = c + i(d)
-        //   =>  Z1 * Z2  =  (a*c - b*d) + i(b*c + a*d)
-        
-        // Top
-        m0 = t2[0] * twR;
-        m1 = t2[1] * twI;
-        m2 = t2[1] * twR;
-        m3 = t2[0] * twI;
-        
-        *p2++ = m0 + m1;
-        *p2++ = m2 - m3;
-        // use vertical symmetry col 2
-        // 0.9997 - 0.0245i  <==>  0.0245 - 0.9997i
-        // Bottom
-        m0 = t2[3] * twI;
-        m1 = t2[2] * twR;
-        m2 = t2[2] * twI;
-        m3 = t2[3] * twR;
-        
-        *pEnd2-- = m0 - m1;
-        *pEnd2-- = m2 + m3;
-
-        // COL 3
-        twR = tw3[0];
-        twI = tw3[1];
-        tw3 += twMod3;
-        // Top
-        m0 = t3[0] * twR;
-        m1 = t3[1] * twI;
-        m2 = t3[1] * twR;
-        m3 = t3[0] * twI;
-        
-        *p3++ = m0 + m1;
-        *p3++ = m2 - m3;
-        // use vertical symmetry col 3
-        // 0.9988 - 0.0491i  <==>  -0.9988 - 0.0491i
-        // Bottom
-        m0 = -t3[3] * twR;
-        m1 = t3[2] * twI;
-        m2 = t3[2] * twR;
-        m3 = t3[3] * twI;
-        
-        *pEnd3-- = m0 - m1;
-        *pEnd3-- = m3 - m2;
-        
-        // COL 4
-        twR = tw4[0];
-        twI = tw4[1];
-        tw4 += twMod4;
-        // Top
-        m0 = t4[0] * twR;
-        m1 = t4[1] * twI;
-        m2 = t4[1] * twR;
-        m3 = t4[0] * twI;
-        
-        *p4++ = m0 + m1;
-        *p4++ = m2 - m3;
-        // use vertical symmetry col 4
-        // 0.9973 - 0.0736i  <==>  -0.0736 + 0.9973i
-        // Bottom
-        m0 = t4[3] * twI;
-        m1 = t4[2] * twR;
-        m2 = t4[2] * twI;
-        m3 = t4[3] * twR;
-        
-        *pEnd4-- = m0 - m1;
-        *pEnd4-- = m2 + m3;
-    }
-
-    //MIDDLE
-    // Twiddle factors are 
-    //  1.0000  0.7071-0.7071i  -1.0000i  -0.7071-0.7071i
-    p1ap3_0 = p1[0] + p3[0];
-    p1sp3_0 = p1[0] - p3[0];
-    p1ap3_1 = p1[1] + p3[1];
-    p1sp3_1 = p1[1] - p3[1];
-
-    // col 2
-    t2[0] = p1sp3_0 + p2[1] - p4[1];
-    t2[1] = p1sp3_1 - p2[0] + p4[0];
-    // col 3
-    t3[0] = p1ap3_0 - p2[0] - p4[0];
-    t3[1] = p1ap3_1 - p2[1] - p4[1];
-    // col 4
-    t4[0] = p1sp3_0 - p2[1] + p4[1];
-    t4[1] = p1sp3_1 + p2[0] - p4[0];
-    // col 1 - Top
-    *p1++ = p1ap3_0 + p2[0] + p4[0];
-    *p1++ = p1ap3_1 + p2[1] + p4[1];
-
-    // COL 2
-    twR = tw2[0];
-    twI = tw2[1];
-
-    m0 = t2[0] * twR;
-    m1 = t2[1] * twI;
-    m2 = t2[1] * twR;
-    m3 = t2[0] * twI;
-
-    *p2++ = m0 + m1;
-    *p2++ = m2 - m3;
-    // COL 3
-    twR = tw3[0];
-    twI = tw3[1];
-
-    m0 = t3[0] * twR;
-    m1 = t3[1] * twI;
-    m2 = t3[1] * twR;
-    m3 = t3[0] * twI;
-
-    *p3++ = m0 + m1;
-    *p3++ = m2 - m3;
-    // COL 4
-    twR = tw4[0];
-    twI = tw4[1];
-
-    m0 = t4[0] * twR;
-    m1 = t4[1] * twI;
-    m2 = t4[1] * twR;
-    m3 = t4[0] * twI;
-
-    *p4++ = m0 + m1;
-    *p4++ = m2 - m3;
-
-    // first col
-    arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 4u);
-    // second col
-    arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 4u);
-    // third col
-    arm_radix8_butterfly_f32( pCol3, L, (float32_t *) S->pTwiddle, 4u);
-    // fourth col
-    arm_radix8_butterfly_f32( pCol4, L, (float32_t *) S->pTwiddle, 4u);
-}
-
-/**
-* @addtogroup ComplexFFT   
-* @{   
-*/
-
-/**   
-* @details   
-* @brief       Processing function for the floating-point complex FFT.
-* @param[in]      *S    points to an instance of the floating-point CFFT structure.  
-* @param[in, out] *p1   points to the complex data buffer of size 2*fftLen. Processing occurs in-place.  
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
-* @return none.  
-*/
-
-void arm_cfft_f32( 
-    const arm_cfft_instance_f32 * S, 
-    float32_t * p1,
-    uint8_t ifftFlag,
-    uint8_t bitReverseFlag)
-{
-    uint32_t  L = S->fftLen, l;
-    float32_t invL, * pSrc;
-
-    if(ifftFlag == 1u)
-    {
-        /*  Conjugate input data  */
-        pSrc = p1 + 1;
-        for(l=0; lpTwiddle, 1);
-        break;
-    }  
-
-    if( bitReverseFlag )
-        arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable);
-
-    if(ifftFlag == 1u)
-    {
-        invL = 1.0f/(float32_t)L;
-        /*  Conjugate and scale output data */
-        pSrc = p1;
-        for(l=0; l2*fftLen. Processing occurs in-place.  
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
-* @return none.  
-*/
-
-void arm_cfft_q15( 
-    const arm_cfft_instance_q15 * S, 
-    q15_t * p1,
-    uint8_t ifftFlag,
-    uint8_t bitReverseFlag)
-{
-    uint32_t L = S->fftLen;
-
-    if(ifftFlag == 1u)
-    {
-        switch (L) 
-        {
-        case 16: 
-        case 64:
-        case 256:
-        case 1024:
-        case 4096:
-            arm_radix4_butterfly_inverse_q15  ( p1, L, (q15_t*)S->pTwiddle, 1 );
-            break;
-            
-        case 32:
-        case 128:
-        case 512:
-        case 2048:
-            arm_cfft_radix4by2_inverse_q15  ( p1, L, S->pTwiddle );
-            break;
-        }  
-    }
-    else
-    {
-        switch (L) 
-        {
-        case 16: 
-        case 64:
-        case 256:
-        case 1024:
-        case 4096:
-            arm_radix4_butterfly_q15  ( p1, L, (q15_t*)S->pTwiddle, 1 );
-            break;
-            
-        case 32:
-        case 128:
-        case 512:
-        case 2048:
-            arm_cfft_radix4by2_q15  ( p1, L, S->pTwiddle );
-            break;
-        }  
-    }
-    
-    if( bitReverseFlag )
-        arm_bitreversal_16((uint16_t*)p1,S->bitRevLength,S->pBitRevTable);    
-}
-
-/**    
-* @} end of ComplexFFT group    
-*/
-
-void arm_cfft_radix4by2_q15(
-    q15_t * pSrc,
-    uint32_t fftLen,
-    const q15_t * pCoef) 
-{    
-    uint32_t i;
-    uint32_t n2;
-    q15_t p0, p1, p2, p3;
-#ifndef ARM_MATH_CM0_FAMILY
-    q31_t T, S, R;
-    q31_t coeff, out1, out2;
-    const q15_t *pC = pCoef;
-    q15_t *pSi = pSrc;
-    q15_t *pSl = pSrc + fftLen;
-#else
-    uint32_t ia, l;
-    q15_t xt, yt, cosVal, sinVal;
-#endif
-    
-    n2 = fftLen >> 1; 
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    for (i = n2; i > 0; i--)
-    {
-        coeff = _SIMD32_OFFSET(pC);
-        pC += 2;
-
-        T = _SIMD32_OFFSET(pSi);
-        T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
-
-        S = _SIMD32_OFFSET(pSl);
-        S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1
-
-        R = __QSUB16(T, S);
-
-        _SIMD32_OFFSET(pSi) = __SHADD16(T, S);
-        pSi += 2;
-
-    #ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUAD(coeff, R) >> 16;
-        out2 = __SMUSDX(coeff, R);
-
-    #else
-
-        out1 = __SMUSDX(R, coeff) >> 16u;
-        out2 = __SMUAD(coeff, R);
-
-    #endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-        _SIMD32_OFFSET(pSl) =
-        (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-        pSl += 2;
-    } 
-    
-#else //    #ifndef ARM_MATH_CM0_FAMILY
-    
-    ia = 0;
-    for (i = 0; i < n2; i++)
-    {
-        cosVal = pCoef[ia * 2];
-        sinVal = pCoef[(ia * 2) + 1];
-        ia++;
-        
-        l = i + n2;        
-        
-        xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
-        pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
-        
-        yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
-        pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
-
-        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
-                  ((int16_t) (((q31_t) yt * sinVal) >> 16)));
-
-        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
-                       ((int16_t) (((q31_t) xt * sinVal) >> 16)));
-    } 
-    
-#endif //    #ifndef ARM_MATH_CM0_FAMILY
-    
-    // first col
-    arm_radix4_butterfly_q15( pSrc, n2, (q15_t*)pCoef, 2u);
-    // second col
-    arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2u);
-			
-    for (i = 0; i < fftLen >> 1; i++)
-    {
-        p0 = pSrc[4*i+0];
-        p1 = pSrc[4*i+1];
-        p2 = pSrc[4*i+2];
-        p3 = pSrc[4*i+3];
-        
-        p0 <<= 1;
-        p1 <<= 1;
-        p2 <<= 1;
-        p3 <<= 1;
-        
-        pSrc[4*i+0] = p0;
-        pSrc[4*i+1] = p1;
-        pSrc[4*i+2] = p2;
-        pSrc[4*i+3] = p3;
-    }
-}
-
-void arm_cfft_radix4by2_inverse_q15(
-    q15_t * pSrc,
-    uint32_t fftLen,
-    const q15_t * pCoef) 
-{    
-    uint32_t i;
-    uint32_t n2;
-    q15_t p0, p1, p2, p3;
-#ifndef ARM_MATH_CM0_FAMILY
-    q31_t T, S, R;
-    q31_t coeff, out1, out2;
-    const q15_t *pC = pCoef;
-    q15_t *pSi = pSrc;
-    q15_t *pSl = pSrc + fftLen;
-#else
-    uint32_t ia, l;
-    q15_t xt, yt, cosVal, sinVal;
-#endif
-    
-    n2 = fftLen >> 1; 
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    for (i = n2; i > 0; i--)
-    {
-        coeff = _SIMD32_OFFSET(pC);
-        pC += 2;
-
-        T = _SIMD32_OFFSET(pSi);
-        T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
-
-        S = _SIMD32_OFFSET(pSl);
-        S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1
-
-        R = __QSUB16(T, S);
-
-        _SIMD32_OFFSET(pSi) = __SHADD16(T, S);
-        pSi += 2;
-
-    #ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUSD(coeff, R) >> 16;
-        out2 = __SMUADX(coeff, R);
-    #else
-
-        out1 = __SMUADX(R, coeff) >> 16u;
-        out2 = __SMUSD(__QSUB(0, coeff), R);
-
-    #endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-        _SIMD32_OFFSET(pSl) =
-        (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);        
-        pSl += 2;
-    } 
-    
-#else //    #ifndef ARM_MATH_CM0_FAMILY
-
-    ia = 0;
-    for (i = 0; i < n2; i++)
-    {
-        cosVal = pCoef[ia * 2];
-        sinVal = pCoef[(ia * 2) + 1];
-        ia++;
-        
-        l = i + n2;
-        xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
-        pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
-        
-        yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
-        pSrc[2 * i + 1] =
-          ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
-        
-        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
-                        ((int16_t) (((q31_t) yt * sinVal) >> 16)));
-        
-        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
-                           ((int16_t) (((q31_t) xt * sinVal) >> 16)));
-    } 
-    
-#endif //    #ifndef ARM_MATH_CM0_FAMILY
-
-    // first col
-    arm_radix4_butterfly_inverse_q15( pSrc, n2, (q15_t*)pCoef, 2u);
-    // second col
-    arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2u);
-			
-    for (i = 0; i < fftLen >> 1; i++)
-    {
-        p0 = pSrc[4*i+0];
-        p1 = pSrc[4*i+1];
-        p2 = pSrc[4*i+2];
-        p3 = pSrc[4*i+3];
-        
-        p0 <<= 1;
-        p1 <<= 1;
-        p2 <<= 1;
-        p3 <<= 1;
-        
-        pSrc[4*i+0] = p0;
-        pSrc[4*i+1] = p1;
-        pSrc[4*i+2] = p2;
-        pSrc[4*i+3] = p3;
-    }
-}
-
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_q31.c
deleted file mode 100644
index 20ad7e78..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_q31.c
+++ /dev/null
@@ -1,264 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_q31.c   
-*    
-* Description:	Combined Radix Decimation in Frequency CFFT fixed point processing function
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-extern void arm_radix4_butterfly_q31(
-    q31_t * pSrc,
-    uint32_t fftLen,
-    q31_t * pCoef,
-    uint32_t twidCoefModifier);
-
-extern void arm_radix4_butterfly_inverse_q31(
-    q31_t * pSrc,
-    uint32_t fftLen,
-    q31_t * pCoef,
-    uint32_t twidCoefModifier);
-
-extern void arm_bitreversal_32(
-    uint32_t * pSrc,
-    const uint16_t bitRevLen,
-    const uint16_t * pBitRevTable);
-    
-void arm_cfft_radix4by2_q31(
-    q31_t * pSrc,
-    uint32_t fftLen,
-    const q31_t * pCoef);
-    
-void arm_cfft_radix4by2_inverse_q31(
-    q31_t * pSrc,
-    uint32_t fftLen,
-    const q31_t * pCoef);
-
-/**   
-* @ingroup groupTransforms   
-*/
-
-/**
-* @addtogroup ComplexFFT   
-* @{   
-*/
-
-/**   
-* @details   
-* @brief       Processing function for the fixed-point complex FFT in Q31 format.
-* @param[in]      *S    points to an instance of the fixed-point CFFT structure.  
-* @param[in, out] *p1   points to the complex data buffer of size 2*fftLen. Processing occurs in-place.  
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
-* @return none.  
-*/
-
-void arm_cfft_q31( 
-    const arm_cfft_instance_q31 * S, 
-    q31_t * p1,
-    uint8_t ifftFlag,
-    uint8_t bitReverseFlag)
-{
-    uint32_t L = S->fftLen;
-
-    if(ifftFlag == 1u)
-    {
-        switch (L) 
-        {
-        case 16: 
-        case 64:
-        case 256:
-        case 1024:
-        case 4096:
-            arm_radix4_butterfly_inverse_q31  ( p1, L, (q31_t*)S->pTwiddle, 1 );
-            break;
-            
-        case 32:
-        case 128:
-        case 512:
-        case 2048:
-            arm_cfft_radix4by2_inverse_q31  ( p1, L, S->pTwiddle );
-            break;
-        }  
-    }
-    else
-    {
-        switch (L) 
-        {
-        case 16: 
-        case 64:
-        case 256:
-        case 1024:
-        case 4096:
-            arm_radix4_butterfly_q31  ( p1, L, (q31_t*)S->pTwiddle, 1 );
-            break;
-            
-        case 32:
-        case 128:
-        case 512:
-        case 2048:
-            arm_cfft_radix4by2_q31  ( p1, L, S->pTwiddle );
-            break;
-        }  
-    }
-    
-    if( bitReverseFlag )
-        arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable);    
-}
-
-/**    
-* @} end of ComplexFFT group    
-*/
-
-void arm_cfft_radix4by2_q31(
-    q31_t * pSrc,
-    uint32_t fftLen,
-    const q31_t * pCoef) 
-{    
-    uint32_t i, l;
-    uint32_t n2, ia;
-    q31_t xt, yt, cosVal, sinVal;
-    q31_t p0, p1;
-    
-    n2 = fftLen >> 1;    
-    ia = 0;
-    for (i = 0; i < n2; i++)
-    {
-        cosVal = pCoef[2*ia];
-        sinVal = pCoef[2*ia + 1];
-        ia++;
-        
-        l = i + n2;
-        xt = (pSrc[2 * i] >> 2) - (pSrc[2 * l] >> 2);
-        pSrc[2 * i] = (pSrc[2 * i] >> 2) + (pSrc[2 * l] >> 2);
-        
-        yt = (pSrc[2 * i + 1] >> 2) - (pSrc[2 * l + 1] >> 2);
-        pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2) + (pSrc[2 * i + 1] >> 2);
-        
-        mult_32x32_keep32_R(p0, xt, cosVal);
-        mult_32x32_keep32_R(p1, yt, cosVal);
-        multAcc_32x32_keep32_R(p0, yt, sinVal); 
-        multSub_32x32_keep32_R(p1, xt, sinVal);
-        
-        pSrc[2u * l] = p0 << 1;
-        pSrc[2u * l + 1u] = p1 << 1;
-    
-    }
-
-    // first col
-    arm_radix4_butterfly_q31( pSrc, n2, (q31_t*)pCoef, 2u);
-    // second col
-    arm_radix4_butterfly_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2u);
-			
-    for (i = 0; i < fftLen >> 1; i++)
-    {
-        p0 = pSrc[4*i+0];
-        p1 = pSrc[4*i+1];
-        xt = pSrc[4*i+2];
-        yt = pSrc[4*i+3];
-        
-        p0 <<= 1;
-        p1 <<= 1;
-        xt <<= 1;
-        yt <<= 1;
-        
-        pSrc[4*i+0] = p0;
-        pSrc[4*i+1] = p1;
-        pSrc[4*i+2] = xt;
-        pSrc[4*i+3] = yt;
-    }
-
-}
-
-void arm_cfft_radix4by2_inverse_q31(
-    q31_t * pSrc,
-    uint32_t fftLen,
-    const q31_t * pCoef) 
-{    
-    uint32_t i, l;
-    uint32_t n2, ia;
-    q31_t xt, yt, cosVal, sinVal;
-    q31_t p0, p1;
-    
-    n2 = fftLen >> 1;    
-    ia = 0;
-    for (i = 0; i < n2; i++)
-    {
-        cosVal = pCoef[2*ia];
-        sinVal = pCoef[2*ia + 1];
-        ia++;
-        
-        l = i + n2;
-        xt = (pSrc[2 * i] >> 2) - (pSrc[2 * l] >> 2);
-        pSrc[2 * i] = (pSrc[2 * i] >> 2) + (pSrc[2 * l] >> 2);
-        
-        yt = (pSrc[2 * i + 1] >> 2) - (pSrc[2 * l + 1] >> 2);
-        pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2) + (pSrc[2 * i + 1] >> 2);
-        
-        mult_32x32_keep32_R(p0, xt, cosVal);
-        mult_32x32_keep32_R(p1, yt, cosVal);
-        multSub_32x32_keep32_R(p0, yt, sinVal); 
-        multAcc_32x32_keep32_R(p1, xt, sinVal);
-        
-        pSrc[2u * l] = p0 << 1;
-        pSrc[2u * l + 1u] = p1 << 1;
-    
-    }
-
-    // first col
-    arm_radix4_butterfly_inverse_q31( pSrc, n2, (q31_t*)pCoef, 2u);
-    // second col
-    arm_radix4_butterfly_inverse_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2u);
-			
-    for (i = 0; i < fftLen >> 1; i++)
-    {
-        p0 = pSrc[4*i+0];
-        p1 = pSrc[4*i+1];
-        xt = pSrc[4*i+2];
-        yt = pSrc[4*i+3];
-        
-        p0 <<= 1;
-        p1 <<= 1;
-        xt <<= 1;
-        yt <<= 1;
-        
-        pSrc[4*i+0] = p0;
-        pSrc[4*i+1] = p1;
-        pSrc[4*i+2] = xt;
-        pSrc[4*i+3] = yt;
-    }
-}
-
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_f32.c
deleted file mode 100644
index 8e3b77ca..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_f32.c
+++ /dev/null
@@ -1,485 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:	    arm_cfft_radix2_f32.c   
-*   
-* Description:	Radix-2 Decimation in Frequency CFFT & CIFFT Floating point processing function   
-*   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-void arm_radix2_butterfly_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pCoef,
-  uint16_t twidCoefModifier);
-
-void arm_radix2_butterfly_inverse_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pCoef,
-  uint16_t twidCoefModifier,
-  float32_t onebyfftLen);
-
-extern void arm_bitreversal_f32(
-    float32_t * pSrc,
-    uint16_t fftSize,
-    uint16_t bitRevFactor,
-    uint16_t * pBitRevTab);
-
-/**   
-* @ingroup groupTransforms   
-*/
-
-/**   
-* @addtogroup ComplexFFT   
-* @{   
-*/
-
-/**   
-* @details
-* @brief Radix-2 CFFT/CIFFT.
-* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_f32 and will be removed
-* in the future.
-* @param[in]      *S    points to an instance of the floating-point Radix-2 CFFT/CIFFT structure.  
-* @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place.  
-* @return none.
-*/
-
-void arm_cfft_radix2_f32(
-const arm_cfft_radix2_instance_f32 * S,
-float32_t * pSrc)
-{
-
-   if(S->ifftFlag == 1u)
-   {
-      /*  Complex IFFT radix-2  */
-      arm_radix2_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
-      S->twidCoefModifier, S->onebyfftLen);
-   }
-   else
-   {
-      /*  Complex FFT radix-2  */
-      arm_radix2_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
-      S->twidCoefModifier);
-   }
-
-   if(S->bitReverseFlag == 1u)
-   {
-      /*  Bit Reversal */
-      arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-   }
-
-}
-
-
-/**    
-* @} end of ComplexFFT group    
-*/
-
-
-
-/* ----------------------------------------------------------------------    
-** Internal helper function used by the FFTs    
-** ------------------------------------------------------------------- */
-
-/*    
-* @brief  Core function for the floating-point CFFT butterfly process.   
-* @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
-* @param[in]      fftLen           length of the FFT.   
-* @param[in]      *pCoef           points to the twiddle coefficient buffer.   
-* @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
-* @return none.   
-*/
-
-void arm_radix2_butterfly_f32(
-float32_t * pSrc,
-uint32_t fftLen,
-float32_t * pCoef,
-uint16_t twidCoefModifier)
-{
-
-   uint32_t i, j, k, l;
-   uint32_t n1, n2, ia;
-   float32_t xt, yt, cosVal, sinVal;
-   float32_t p0, p1, p2, p3;
-   float32_t a0, a1;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-   /*  Initializations for the first stage */
-   n2 = fftLen >> 1;
-   ia = 0;
-   i = 0;
-
-   // loop for groups 
-   for (k = n2; k > 0; k--)
-   {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-
-      /*  Twiddle coefficients index modifier */
-      ia += twidCoefModifier;
-
-      /*  index calculation for the input as, */
-      /*  pSrc[i + 0], pSrc[i + fftLen/1] */
-      l = i + n2;
-
-      /*  Butterfly implementation */
-      a0 = pSrc[2 * i] + pSrc[2 * l];
-      xt = pSrc[2 * i] - pSrc[2 * l];
-
-      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-      a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-      
-      p0 = xt * cosVal;
-      p1 = yt * sinVal;
-      p2 = yt * cosVal;
-      p3 = xt * sinVal;  
-      
-      pSrc[2 * i]     = a0;   
-      pSrc[2 * i + 1] = a1;       
-      
-      pSrc[2 * l]     = p0 + p1;
-      pSrc[2 * l + 1] = p2 - p3;
-      
-      i++;
-   }                             // groups loop end 
-
-   twidCoefModifier <<= 1u;
-
-   // loop for stage 
-   for (k = n2; k > 2; k = k >> 1)
-   {
-      n1 = n2;
-      n2 = n2 >> 1;
-      ia = 0;
-
-      // loop for groups 
-      j = 0;
-      do
-      {
-         cosVal = pCoef[ia * 2];
-         sinVal = pCoef[(ia * 2) + 1];
-         ia += twidCoefModifier;
-
-         // loop for butterfly 
-         i = j;
-         do
-         {
-            l = i + n2;
-            a0 = pSrc[2 * i] + pSrc[2 * l];
-            xt = pSrc[2 * i] - pSrc[2 * l];
-
-            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-            
-            p0 = xt * cosVal;
-            p1 = yt * sinVal;
-            p2 = yt * cosVal;
-            p3 = xt * sinVal;  
-            
-            pSrc[2 * i] = a0;   
-            pSrc[2 * i + 1] = a1;       
-            
-            pSrc[2 * l]     = p0 + p1;
-            pSrc[2 * l + 1] = p2 - p3;
-            
-            i += n1;
-         } while( i < fftLen );                        // butterfly loop end 
-         j++;
-      } while( j < n2);                          // groups loop end 
-      twidCoefModifier <<= 1u;
-   }                             // stages loop end 
-
-   // loop for butterfly 
-   for (i = 0; i < fftLen; i += 2)
-   {
-      a0 = pSrc[2 * i] + pSrc[2 * i + 2];
-      xt = pSrc[2 * i] - pSrc[2 * i + 2];
-
-      yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
-      a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
-      
-      pSrc[2 * i] = a0;   
-      pSrc[2 * i + 1] = a1;
-      pSrc[2 * i + 2] = xt;
-      pSrc[2 * i + 3] = yt;
-   }                             // groups loop end 
-
-#else
- 
-   n2 = fftLen;
-
-   // loop for stage 
-   for (k = fftLen; k > 1; k = k >> 1)
-   {
-      n1 = n2;
-      n2 = n2 >> 1;
-      ia = 0;
-
-      // loop for groups 
-      j = 0;
-      do
-      {
-         cosVal = pCoef[ia * 2];
-         sinVal = pCoef[(ia * 2) + 1];
-         ia += twidCoefModifier;
-
-         // loop for butterfly 
-         i = j;
-         do
-         {
-            l = i + n2;
-            a0 = pSrc[2 * i] + pSrc[2 * l];
-            xt = pSrc[2 * i] - pSrc[2 * l];
-
-            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-            
-            p0 = xt * cosVal;
-            p1 = yt * sinVal;
-            p2 = yt * cosVal;
-            p3 = xt * sinVal;  
-            
-            pSrc[2 * i] = a0;   
-            pSrc[2 * i + 1] = a1;       
-            
-            pSrc[2 * l]     = p0 + p1;
-            pSrc[2 * l + 1] = p2 - p3;
-            
-            i += n1;
-         } while(i < fftLen);
-         j++;
-      } while(j < n2);
-      twidCoefModifier <<= 1u;
-   }
-
-#endif //    #ifndef ARM_MATH_CM0_FAMILY
-
-}
-
-
-void arm_radix2_butterfly_inverse_f32(
-float32_t * pSrc,
-uint32_t fftLen,
-float32_t * pCoef,
-uint16_t twidCoefModifier,
-float32_t onebyfftLen)
-{
-
-   uint32_t i, j, k, l;
-   uint32_t n1, n2, ia;
-   float32_t xt, yt, cosVal, sinVal;
-   float32_t p0, p1, p2, p3;
-   float32_t a0, a1;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-   n2 = fftLen >> 1;
-   ia = 0;
-
-   // loop for groups 
-   for (i = 0; i < n2; i++)
-   {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia += twidCoefModifier;
-
-      l = i + n2;
-      a0 = pSrc[2 * i] + pSrc[2 * l];
-      xt = pSrc[2 * i] - pSrc[2 * l];
-
-      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-      a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-      
-      p0 = xt * cosVal;
-      p1 = yt * sinVal;
-      p2 = yt * cosVal;
-      p3 = xt * sinVal;  
-      
-      pSrc[2 * i] = a0;   
-      pSrc[2 * i + 1] = a1;       
-      
-      pSrc[2 * l]     = p0 - p1;
-      pSrc[2 * l + 1] = p2 + p3;  
-   }                             // groups loop end 
-
-   twidCoefModifier <<= 1u;
-
-   // loop for stage 
-   for (k = fftLen / 2; k > 2; k = k >> 1)
-   {
-      n1 = n2;
-      n2 = n2 >> 1;
-      ia = 0;
-
-      // loop for groups 
-      j = 0;
-      do
-      {
-         cosVal = pCoef[ia * 2];
-         sinVal = pCoef[(ia * 2) + 1];
-         ia += twidCoefModifier;
-
-         // loop for butterfly 
-         i = j;
-         do
-         {
-            l = i + n2;
-            a0 = pSrc[2 * i] + pSrc[2 * l];
-            xt = pSrc[2 * i] - pSrc[2 * l];
-
-            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-            
-            p0 = xt * cosVal;
-            p1 = yt * sinVal;
-            p2 = yt * cosVal;
-            p3 = xt * sinVal;  
-            
-            pSrc[2 * i] = a0;   
-            pSrc[2 * i + 1] = a1;       
-            
-            pSrc[2 * l]     = p0 - p1;
-            pSrc[2 * l + 1] = p2 + p3; 
-
-            i += n1;
-         } while( i < fftLen );                 // butterfly loop end 
-         j++;
-      } while(j < n2);                      // groups loop end 
-
-      twidCoefModifier <<= 1u;
-   }                             // stages loop end 
-
-   // loop for butterfly 
-   for (i = 0; i < fftLen; i += 2)
-   {   
-      a0 = pSrc[2 * i] + pSrc[2 * i + 2];
-      xt = pSrc[2 * i] - pSrc[2 * i + 2];
-      
-      a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
-      yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
-      
-      p0 = a0 * onebyfftLen;
-      p2 = xt * onebyfftLen;
-      p1 = a1 * onebyfftLen;
-      p3 = yt * onebyfftLen; 
-      
-      pSrc[2 * i] = p0;
-      pSrc[2 * i + 1] = p1;  
-      pSrc[2 * i + 2] = p2;       
-      pSrc[2 * i + 3] = p3;
-   }                             // butterfly loop end 
-
-#else
-
-   n2 = fftLen;
-
-   // loop for stage 
-   for (k = fftLen; k > 2; k = k >> 1)
-   {
-      n1 = n2;
-      n2 = n2 >> 1;
-      ia = 0;
-
-      // loop for groups 
-      j = 0;
-      do
-      {
-         cosVal = pCoef[ia * 2];
-         sinVal = pCoef[(ia * 2) + 1];
-         ia = ia + twidCoefModifier;
-
-         // loop for butterfly 
-         i = j;
-         do
-         {
-            l = i + n2;
-            a0 = pSrc[2 * i] + pSrc[2 * l];
-            xt = pSrc[2 * i] - pSrc[2 * l];
-
-            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-            
-            p0 = xt * cosVal;
-            p1 = yt * sinVal;
-            p2 = yt * cosVal;
-            p3 = xt * sinVal;  
-            
-            pSrc[2 * i] = a0;   
-            pSrc[2 * i + 1] = a1;       
-            
-            pSrc[2 * l]     = p0 - p1;
-            pSrc[2 * l + 1] = p2 + p3;  
-            
-            i += n1;
-         } while( i < fftLen );                    // butterfly loop end 
-         j++;
-      } while( j < n2 );                      // groups loop end 
-
-      twidCoefModifier = twidCoefModifier << 1u;
-   }                             // stages loop end 
-
-   n1 = n2;
-   n2 = n2 >> 1;
-
-   // loop for butterfly 
-   for (i = 0; i < fftLen; i += n1)
-   {
-      l = i + n2;
-      
-      a0 = pSrc[2 * i] + pSrc[2 * l];
-      xt = pSrc[2 * i] - pSrc[2 * l];
-      
-      a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-      
-      p0 = a0 * onebyfftLen;
-      p2 = xt * onebyfftLen;
-      p1 = a1 * onebyfftLen;
-      p3 = yt * onebyfftLen; 
-      
-      pSrc[2 * i] = p0;
-      pSrc[2u * l] = p2;
-     
-      pSrc[2 * i + 1] = p1;    
-      pSrc[2u * l + 1u] = p3;
-   }                             // butterfly loop end 
-
-#endif //      #ifndef ARM_MATH_CM0_FAMILY
-
-}
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
deleted file mode 100644
index 55d2a71c..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
+++ /dev/null
@@ -1,205 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:	    arm_cfft_radix4_init_f32.c   
-*   
-* Description:	Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**   
- * @ingroup groupTransforms   
- */
-
-/**   
- * @addtogroup ComplexFFT   
- * @{   
- */
-
-/**   
-* @brief  Initialization function for the floating-point CFFT/CIFFT.  
-* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_f32 and will be removed
-* in the future.
-* @param[in,out] *S             points to an instance of the floating-point CFFT/CIFFT structure.  
-* @param[in]     fftLen         length of the FFT.  
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.  
-*   
-* \par Description:  
-* \par   
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.   
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated  
-* \par   
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.   
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par   
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.   
-* \par   
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
-*/
-arm_status arm_cfft_radix2_init_f32(
-  arm_cfft_radix2_instance_f32 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (float32_t *) twiddleCoef;
-
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (S->fftLen)
-  {
-
-  case 4096u:
-    /*  Initializations of structure parameters for 4096 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.000244140625;
-    break;
-
-  case 2048u:
-    /*  Initializations of structure parameters for 2048 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 2u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 2u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.00048828125;
-    break;
-
-  case 1024u:
-    /*  Initializations of structure parameters for 1024 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 4u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 4u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.0009765625f;
-    break;
-
-  case 512u:
-    /*  Initializations of structure parameters for 512 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 8u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 8u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.001953125;
-    break;
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-    S->onebyfftLen = 0.00390625f;
-    break;
-
-  case 128u:
-    /*  Initializations of structure parameters for 128 point FFT */
-    S->twidCoefModifier = 32u;
-    S->bitRevFactor = 32u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
-    S->onebyfftLen = 0.0078125;
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-    S->onebyfftLen = 0.015625f;
-    break;
-
-  case 32u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 128u;
-    S->bitRevFactor = 128u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
-    S->onebyfftLen = 0.03125;
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-    S->onebyfftLen = 0.0625f;
-    break;
-
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**   
- * @} end of ComplexFFT group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
deleted file mode 100644
index 3949140e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
+++ /dev/null
@@ -1,189 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5   
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix2_init_q15.c    
-*    
-* Description:	Radix-2 Decimation in Frequency Q15 FFT & IFFT initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-
-/**    
- * @addtogroup ComplexFFT    
- * @{    
- */
-
-/**   
-* @brief Initialization function for the Q15 CFFT/CIFFT.   
-* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
-* @param[in,out] *S             points to an instance of the Q15 CFFT/CIFFT structure.   
-* @param[in]     fftLen         length of the FFT.   
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.  
-*   
-* \par Description:  
-* \par   
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.   
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated  
-* \par   
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.   
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par   
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.   
-* \par   
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
-*/
-
-arm_status arm_cfft_radix2_init_q15(
-  arm_cfft_radix2_instance_q15 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (S->fftLen)
-  {
-  case 4096u:
-    /*  Initializations of structure parameters for 4096 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-
-    break;
-
-  case 2048u:
-    /*  Initializations of structure parameters for 2048 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 2u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 2u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
-
-    break;
-
-  case 1024u:
-    /*  Initializations of structure parameters for 1024 point FFT */
-    S->twidCoefModifier = 4u;
-    S->bitRevFactor = 4u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-
-    break;
-
-  case 512u:
-    /*  Initializations of structure parameters for 512 point FFT */
-    S->twidCoefModifier = 8u;
-    S->bitRevFactor = 8u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
-
-    break;
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-
-    break;
-
-  case 128u:
-    /*  Initializations of structure parameters for 128 point FFT */
-    S->twidCoefModifier = 32u;
-    S->bitRevFactor = 32u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
-
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-
-    break;
-
-  case 32u:
-    /*  Initializations of structure parameters for 32 point FFT */
-    S->twidCoefModifier = 128u;
-    S->bitRevFactor = 128u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
-
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-
-    break;
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**    
- * @} end of ComplexFFT group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
deleted file mode 100644
index 3ce6e5d3..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
+++ /dev/null
@@ -1,187 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:	    arm_cfft_radix2_init_q31.c   
-*   
-* Description:	Radix-2 Decimation in Frequency Fixed-point CFFT & CIFFT Initialization function   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**   
- * @ingroup groupTransforms   
- */
-
-/**   
- * @addtogroup ComplexFFT   
- * @{   
- */
-
-
-/**    
-*    
-* @brief  Initialization function for the Q31 CFFT/CIFFT.   
-* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
-* @param[in,out] *S             points to an instance of the Q31 CFFT/CIFFT structure.   
-* @param[in]     fftLen         length of the FFT.  
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.  
-*   
-* \par Description:  
-* \par   
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.   
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated  
-* \par   
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.   
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par   
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.   
-* \par   
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
-*/
-
-arm_status arm_cfft_radix2_init_q31(
-  arm_cfft_radix2_instance_q31 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of Instance structure depending on the FFT length */
-  switch (S->fftLen)
-  {
-    /*  Initializations of structure parameters for 4096 point FFT */
-  case 4096u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-    break;
-
-    /*  Initializations of structure parameters for 2048 point FFT */
-  case 2048u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 2u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 2u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
-    break;
-
-    /*  Initializations of structure parameters for 1024 point FFT */
-  case 1024u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 4u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 4u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-    break;
-
-    /*  Initializations of structure parameters for 512 point FFT */
-  case 512u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 8u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 8u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
-    break;
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-    break;
-
-  case 128u:
-    /*  Initializations of structure parameters for 128 point FFT */
-    S->twidCoefModifier = 32u;
-    S->bitRevFactor = 32u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-    break;
-
-  case 32u:
-    /*  Initializations of structure parameters for 32 point FFT */
-    S->twidCoefModifier = 128u;
-    S->bitRevFactor = 128u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-    break;
-
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**   
- * @} end of ComplexFFT group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q15.c
deleted file mode 100644
index 74d821a9..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q15.c
+++ /dev/null
@@ -1,742 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:	    arm_cfft_radix2_q15.c   
-*   
-* Description:	Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function   
-*   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-void arm_radix2_butterfly_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pCoef,
-  uint16_t twidCoefModifier);
-
-void arm_radix2_butterfly_inverse_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pCoef,
-  uint16_t twidCoefModifier);
-	
-void arm_bitreversal_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  uint16_t bitRevFactor,
-  uint16_t * pBitRevTab);
-
-/**   
- * @ingroup groupTransforms   
- */
-
-/**   
- * @addtogroup ComplexFFT   
- * @{   
- */
-
-/**   
- * @details   
- * @brief Processing function for the fixed-point CFFT/CIFFT.  
- * @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
- * @param[in]      *S    points to an instance of the fixed-point CFFT/CIFFT structure.  
- * @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place.  
- * @return none.  
- */
-
-void arm_cfft_radix2_q15(
-  const arm_cfft_radix2_instance_q15 * S,
-  q15_t * pSrc)
-{
-
-  if(S->ifftFlag == 1u)
-  {
-    arm_radix2_butterfly_inverse_q15(pSrc, S->fftLen,
-                                     S->pTwiddle, S->twidCoefModifier);
-  }
-  else
-  {
-    arm_radix2_butterfly_q15(pSrc, S->fftLen,
-                             S->pTwiddle, S->twidCoefModifier);
-  }
-
-  arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-}
-
-/**   
- * @} end of ComplexFFT group   
- */
-
-void arm_radix2_butterfly_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pCoef,
-  uint16_t twidCoefModifier)
-{
-#ifndef ARM_MATH_CM0_FAMILY
-
-  unsigned i, j, k, l;
-  unsigned n1, n2, ia;
-  q15_t in;
-  q31_t T, S, R;
-  q31_t coeff, out1, out2;
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (i = 0; i < n2; i++)
-  {
-    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-    ia = ia + twidCoefModifier;
-
-    l = i + n2;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 1;
-    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 1;
-    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __SMUAD(coeff, R) >> 16;
-    out2 = __SMUSDX(coeff, R);
-
-#else
-
-    out1 = __SMUSDX(R, coeff) >> 16u;
-    out2 = __SMUAD(coeff, R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    i++;
-    l++;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 1;
-    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 1;
-    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __SMUAD(coeff, R) >> 16;
-    out2 = __SMUSDX(coeff, R);
-
-#else
-
-    out1 = __SMUSDX(R, coeff) >> 16u;
-    out2 = __SMUAD(coeff, R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-
-        T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-        S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-        R = __QSUB16(T, S);
-
-        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUAD(coeff, R) >> 16;
-        out2 = __SMUSDX(coeff, R);
-
-#else
-
-        out1 = __SMUSDX(R, coeff) >> 16u;
-        out2 = __SMUAD(coeff, R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-        _SIMD32_OFFSET(pSrc + (2u * l)) =
-          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-        i += n1;
-
-        l = i + n2;
-
-        T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-        S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-        R = __QSUB16(T, S);
-
-        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUAD(coeff, R) >> 16;
-        out2 = __SMUSDX(coeff, R);
-
-#else
-
-        out1 = __SMUSDX(R, coeff) >> 16u;
-        out2 = __SMUAD(coeff, R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-        _SIMD32_OFFSET(pSrc + (2u * l)) =
-          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-  ia = ia + twidCoefModifier;
-
-  // loop for butterfly 
-  for (i = 0; i < fftLen; i += n1)
-  {
-    l = i + n2;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) = R;
-
-    i += n1;
-    l = i + n2;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) = R;
-
-  }                             // groups loop end 
-
-
-#else
-
-  unsigned i, j, k, l;
-  unsigned n1, n2, ia;
-  q15_t xt, yt, cosVal, sinVal;
-
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (j = 0; j < n2; j++)
-  {
-    cosVal = pCoef[ia * 2];
-    sinVal = pCoef[(ia * 2) + 1];
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    for (i = j; i < fftLen; i += n1)
-    {
-      l = i + n2;
-      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
-      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
-
-      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
-      pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
-
-      pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
-                      ((int16_t) (((q31_t) yt * sinVal) >> 16)));
-
-      pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
-                           ((int16_t) (((q31_t) xt * sinVal) >> 16)));
-
-    }                           // butterfly loop end 
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-        xt = pSrc[2 * i] - pSrc[2 * l];
-        pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
-
-        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-        pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
-
-        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
-                        ((int16_t) (((q31_t) yt * sinVal) >> 16)));
-
-        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
-                             ((int16_t) (((q31_t) xt * sinVal) >> 16)));
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (j = 0; j < n2; j++)
-  {
-    cosVal = pCoef[ia * 2];
-    sinVal = pCoef[(ia * 2) + 1];
-
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    for (i = j; i < fftLen; i += n1)
-    {
-      l = i + n2;
-      xt = pSrc[2 * i] - pSrc[2 * l];
-      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-      pSrc[2u * l] = xt;
-
-      pSrc[2u * l + 1u] = yt;
-
-    }                           // butterfly loop end 
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-#endif //             #ifndef ARM_MATH_CM0_FAMILY
-
-}
-
-
-void arm_radix2_butterfly_inverse_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pCoef,
-  uint16_t twidCoefModifier)
-{
-#ifndef ARM_MATH_CM0_FAMILY
-
-  unsigned i, j, k, l;
-  unsigned n1, n2, ia;
-  q15_t in;
-  q31_t T, S, R;
-  q31_t coeff, out1, out2;
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (i = 0; i < n2; i++)
-  {
-    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-    ia = ia + twidCoefModifier;
-
-    l = i + n2;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 1;
-    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 1;
-    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __SMUSD(coeff, R) >> 16;
-    out2 = __SMUADX(coeff, R);
-#else
-
-    out1 = __SMUADX(R, coeff) >> 16u;
-    out2 = __SMUSD(__QSUB(0, coeff), R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    i++;
-    l++;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 1;
-    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 1;
-    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __SMUSD(coeff, R) >> 16;
-    out2 = __SMUADX(coeff, R);
-#else
-
-    out1 = __SMUADX(R, coeff) >> 16u;
-    out2 = __SMUSD(__QSUB(0, coeff), R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-
-        T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-        S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-        R = __QSUB16(T, S);
-
-        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUSD(coeff, R) >> 16;
-        out2 = __SMUADX(coeff, R);
-
-#else
-
-        out1 = __SMUADX(R, coeff) >> 16u;
-        out2 = __SMUSD(__QSUB(0, coeff), R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-        _SIMD32_OFFSET(pSrc + (2u * l)) =
-          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-        i += n1;
-
-        l = i + n2;
-
-        T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-        S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-        R = __QSUB16(T, S);
-
-        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUSD(coeff, R) >> 16;
-        out2 = __SMUADX(coeff, R);
-#else
-
-        out1 = __SMUADX(R, coeff) >> 16u;
-        out2 = __SMUSD(__QSUB(0, coeff), R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-        _SIMD32_OFFSET(pSrc + (2u * l)) =
-          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (j = 0; j < n2; j++)
-  {
-    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    for (i = j; i < fftLen; i += n1)
-    {
-      l = i + n2;
-
-      T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-      S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-      R = __QSUB16(T, S);
-
-      _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
-
-      _SIMD32_OFFSET(pSrc + (2u * l)) = R;
-
-    }                           // butterfly loop end 
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-#else
-
-
-  unsigned i, j, k, l;
-  unsigned n1, n2, ia;
-  q15_t xt, yt, cosVal, sinVal;
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (j = 0; j < n2; j++)
-  {
-    cosVal = pCoef[ia * 2];
-    sinVal = pCoef[(ia * 2) + 1];
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    for (i = j; i < fftLen; i += n1)
-    {
-      l = i + n2;
-      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
-      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
-
-      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
-      pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
-
-      pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
-                      ((int16_t) (((q31_t) yt * sinVal) >> 16)));
-
-      pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
-                           ((int16_t) (((q31_t) xt * sinVal) >> 16)));
-
-    }                           // butterfly loop end 
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-        xt = pSrc[2 * i] - pSrc[2 * l];
-        pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
-
-        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-        pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
-
-        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
-                        ((int16_t) (((q31_t) yt * sinVal) >> 16)));
-
-        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
-                             ((int16_t) (((q31_t) xt * sinVal) >> 16)));
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  cosVal = pCoef[ia * 2];
-  sinVal = pCoef[(ia * 2) + 1];
-
-  ia = ia + twidCoefModifier;
-
-  // loop for butterfly 
-  for (i = 0; i < fftLen; i += n1)
-  {
-    l = i + n2;
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-    pSrc[2u * l] = xt;
-
-    pSrc[2u * l + 1u] = yt;
-
-  }                             // groups loop end 
-
-
-#endif //             #ifndef ARM_MATH_CM0_FAMILY
-
-}
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q31.c
deleted file mode 100644
index 6ed9a808..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q31.c
+++ /dev/null
@@ -1,351 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
-*   
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:	    arm_cfft_radix2_q31.c   
-*   
-* Description:	Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function   
-*   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-void arm_radix2_butterfly_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint16_t twidCoefModifier);
-
-void arm_radix2_butterfly_inverse_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint16_t twidCoefModifier);
-
-void arm_bitreversal_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  uint16_t bitRevFactor,
-  uint16_t * pBitRevTab);
-
-/**   
-* @ingroup groupTransforms   
-*/
-
-/**   
-* @addtogroup ComplexFFT   
-* @{   
-*/
-
-/**   
-* @details   
-* @brief Processing function for the fixed-point CFFT/CIFFT.  
-* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
-* @param[in]      *S    points to an instance of the fixed-point CFFT/CIFFT structure.  
-* @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place.  
-* @return none.  
-*/
-
-void arm_cfft_radix2_q31(
-const arm_cfft_radix2_instance_q31 * S,
-q31_t * pSrc)
-{
-
-   if(S->ifftFlag == 1u)
-   {
-      arm_radix2_butterfly_inverse_q31(pSrc, S->fftLen,
-      S->pTwiddle, S->twidCoefModifier);
-   }
-   else
-   {
-      arm_radix2_butterfly_q31(pSrc, S->fftLen,
-      S->pTwiddle, S->twidCoefModifier);
-   }
-
-   arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-}
-
-/**   
-* @} end of ComplexFFT group   
-*/
-
-void arm_radix2_butterfly_q31(
-q31_t * pSrc,
-uint32_t fftLen,
-q31_t * pCoef,
-uint16_t twidCoefModifier)
-{
-
-   unsigned i, j, k, l, m;
-   unsigned n1, n2, ia;
-   q31_t xt, yt, cosVal, sinVal;
-   q31_t p0, p1;
-
-   //N = fftLen; 
-   n2 = fftLen;
-
-   n1 = n2;
-   n2 = n2 >> 1;
-   ia = 0;
-
-   // loop for groups 
-   for (i = 0; i < n2; i++)
-   {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      l = i + n2;
-      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
-      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
-      
-      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
-      pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
-
-      mult_32x32_keep32_R(p0, xt, cosVal);
-      mult_32x32_keep32_R(p1, yt, cosVal);
-      multAcc_32x32_keep32_R(p0, yt, sinVal); 
-      multSub_32x32_keep32_R(p1, xt, sinVal);
-      
-      pSrc[2u * l] = p0;
-      pSrc[2u * l + 1u] = p1;
-
-   }                             // groups loop end 
-
-   twidCoefModifier <<= 1u;
-
-   // loop for stage 
-   for (k = fftLen / 2; k > 2; k = k >> 1)
-   {
-      n1 = n2;
-      n2 = n2 >> 1;
-      ia = 0;
-
-      // loop for groups 
-      for (j = 0; j < n2; j++)
-      {
-         cosVal = pCoef[ia * 2];
-         sinVal = pCoef[(ia * 2) + 1];
-         ia = ia + twidCoefModifier;
-
-         // loop for butterfly 
-         i = j;
-         m = fftLen / n1;
-         do
-         {
-            l = i + n2;
-            xt = pSrc[2 * i] - pSrc[2 * l];
-            pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
-            
-            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-            pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
-
-            mult_32x32_keep32_R(p0, xt, cosVal);
-            mult_32x32_keep32_R(p1, yt, cosVal);
-            multAcc_32x32_keep32_R(p0, yt, sinVal);
-            multSub_32x32_keep32_R(p1, xt, sinVal);
-            
-            pSrc[2u * l] = p0;
-            pSrc[2u * l + 1u] = p1;
-            i += n1;
-            m--;
-         } while( m > 0);                   // butterfly loop end 
-
-      }                           // groups loop end 
-
-      twidCoefModifier <<= 1u;
-   }                             // stages loop end 
-
-   n1 = n2;
-   n2 = n2 >> 1;
-   ia = 0;
-
-   cosVal = pCoef[ia * 2];
-   sinVal = pCoef[(ia * 2) + 1];
-   ia = ia + twidCoefModifier;
-
-   // loop for butterfly 
-   for (i = 0; i < fftLen; i += n1)
-   {
-      l = i + n2;
-      xt = pSrc[2 * i] - pSrc[2 * l];
-      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-      pSrc[2u * l] = xt;
-
-      pSrc[2u * l + 1u] = yt;
-
-      i += n1;
-      l = i + n2;
-
-      xt = pSrc[2 * i] - pSrc[2 * l];
-      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-      pSrc[2u * l] = xt;
-
-      pSrc[2u * l + 1u] = yt;
-
-   }                             // butterfly loop end 
-
-}
-
-
-void arm_radix2_butterfly_inverse_q31(
-q31_t * pSrc,
-uint32_t fftLen,
-q31_t * pCoef,
-uint16_t twidCoefModifier)
-{
-
-   unsigned i, j, k, l;
-   unsigned n1, n2, ia;
-   q31_t xt, yt, cosVal, sinVal;
-   q31_t p0, p1;
-
-   //N = fftLen; 
-   n2 = fftLen;
-
-   n1 = n2;
-   n2 = n2 >> 1;
-   ia = 0;
-
-   // loop for groups 
-   for (i = 0; i < n2; i++)
-   {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      l = i + n2;
-      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
-      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
-      
-      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
-      pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
-
-      mult_32x32_keep32_R(p0, xt, cosVal);
-      mult_32x32_keep32_R(p1, yt, cosVal);
-      multSub_32x32_keep32_R(p0, yt, sinVal);
-      multAcc_32x32_keep32_R(p1, xt, sinVal);
-      
-      pSrc[2u * l] = p0;
-      pSrc[2u * l + 1u] = p1;
-   }                             // groups loop end 
-
-   twidCoefModifier = twidCoefModifier << 1u;
-
-   // loop for stage 
-   for (k = fftLen / 2; k > 2; k = k >> 1)
-   {
-      n1 = n2;
-      n2 = n2 >> 1;
-      ia = 0;
-
-      // loop for groups 
-      for (j = 0; j < n2; j++)
-      {
-         cosVal = pCoef[ia * 2];
-         sinVal = pCoef[(ia * 2) + 1];
-         ia = ia + twidCoefModifier;
-
-         // loop for butterfly 
-         for (i = j; i < fftLen; i += n1)
-         {
-            l = i + n2;
-            xt = pSrc[2 * i] - pSrc[2 * l];
-            pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
-      
-            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-            pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
-
-            mult_32x32_keep32_R(p0, xt, cosVal);
-            mult_32x32_keep32_R(p1, yt, cosVal);
-            multSub_32x32_keep32_R(p0, yt, sinVal);
-            multAcc_32x32_keep32_R(p1, xt, sinVal);
-            
-            pSrc[2u * l] = p0;
-            pSrc[2u * l + 1u] = p1;
-         }                         // butterfly loop end 
-
-      }                           // groups loop end 
-
-      twidCoefModifier = twidCoefModifier << 1u;
-   }                             // stages loop end 
-
-   n1 = n2;
-   n2 = n2 >> 1;
-   ia = 0;
-
-   cosVal = pCoef[ia * 2];
-   sinVal = pCoef[(ia * 2) + 1];
-   ia = ia + twidCoefModifier;
-
-   // loop for butterfly 
-   for (i = 0; i < fftLen; i += n1)
-   {
-      l = i + n2;
-      xt = pSrc[2 * i] - pSrc[2 * l];
-      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-      pSrc[2u * l] = xt;
-
-      pSrc[2u * l + 1u] = yt;
-
-      i += n1;
-      l = i + n2;
-
-      xt = pSrc[2 * i] - pSrc[2 * l];
-      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-      pSrc[2u * l] = xt;
-
-      pSrc[2u * l + 1u] = yt;
-
-   }                             // butterfly loop end 
-
-}
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_f32.c
deleted file mode 100644
index c29927c3..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_f32.c
+++ /dev/null
@@ -1,1210 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_f32.c    
-*    
-* Description:	Radix-4 Decimation in Frequency CFFT & CIFFT Floating point processing function    
-*    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-extern void arm_bitreversal_f32(
-float32_t * pSrc,
-uint16_t fftSize,
-uint16_t bitRevFactor,
-uint16_t * pBitRevTab);
-
-/**    
-* @ingroup groupTransforms    
-*/
-
-/* ----------------------------------------------------------------------    
-** Internal helper function used by the FFTs    
-** ------------------------------------------------------------------- */
-
-/*    
-* @brief  Core function for the floating-point CFFT butterfly process.   
-* @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
-* @param[in]      fftLen           length of the FFT.   
-* @param[in]      *pCoef           points to the twiddle coefficient buffer.   
-* @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
-* @return none.   
-*/
-
-void arm_radix4_butterfly_f32(
-float32_t * pSrc,
-uint16_t fftLen,
-float32_t * pCoef,
-uint16_t twidCoefModifier)
-{
-
-   float32_t co1, co2, co3, si1, si2, si3;
-   uint32_t ia1, ia2, ia3;
-   uint32_t i0, i1, i2, i3;
-   uint32_t n1, n2, j, k;
-
-#ifndef ARM_MATH_CM0_FAMILY_FAMILY
-
-   /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-   float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
-   float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
-   Ybminusd;
-   float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
-   float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
-   float32_t *ptr1;
-   float32_t p0,p1,p2,p3,p4,p5;
-   float32_t a0,a1,a2,a3,a4,a5,a6,a7;
-
-   /*  Initializations for the first stage */
-   n2 = fftLen;
-   n1 = n2;
-
-   /* n2 = fftLen/4 */
-   n2 >>= 2u;
-   i0 = 0u;
-   ia1 = 0u;
-
-   j = n2;
-
-   /*  Calculation of first stage */
-   do
-   {
-      /*  index calculation for the input as, */
-      /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-      i1 = i0 + n2;
-      i2 = i1 + n2;
-      i3 = i2 + n2;
-
-      xaIn = pSrc[(2u * i0)];
-      yaIn = pSrc[(2u * i0) + 1u];
-
-      xbIn = pSrc[(2u * i1)];
-      ybIn = pSrc[(2u * i1) + 1u];
-
-      xcIn = pSrc[(2u * i2)];
-      ycIn = pSrc[(2u * i2) + 1u];
-
-      xdIn = pSrc[(2u * i3)];
-      ydIn = pSrc[(2u * i3) + 1u];
-
-      /* xa + xc */
-      Xaplusc = xaIn + xcIn;
-      /* xb + xd */
-      Xbplusd = xbIn + xdIn;
-      /* ya + yc */
-      Yaplusc = yaIn + ycIn;
-      /* yb + yd */
-      Ybplusd = ybIn + ydIn;
-
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-
-      /* xa - xc */
-      Xaminusc = xaIn - xcIn;
-      /* xb - xd */
-      Xbminusd = xbIn - xdIn;
-      /* ya - yc */
-      Yaminusc = yaIn - ycIn;
-      /* yb - yd */
-      Ybminusd = ybIn - ydIn;
-
-      /* xa' = xa + xb + xc + xd */
-      pSrc[(2u * i0)] = Xaplusc + Xbplusd;
-      /* ya' = ya + yb + yc + yd */
-      pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
-
-      /* (xa - xc) + (yb - yd) */
-      Xb12C_out = (Xaminusc + Ybminusd);
-      /* (ya - yc) + (xb - xd) */
-      Yb12C_out = (Yaminusc - Xbminusd);
-      /* (xa + xc) - (xb + xd) */
-      Xc12C_out = (Xaplusc - Xbplusd);
-      /* (ya + yc) - (yb + yd) */
-      Yc12C_out = (Yaplusc - Ybplusd);
-      /* (xa - xc) - (yb - yd) */
-      Xd12C_out = (Xaminusc - Ybminusd);
-      /* (ya - yc) + (xb - xd) */
-      Yd12C_out = (Xbminusd + Yaminusc);
-
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-
-      /*  index calculation for the coefficients */
-      ia3 = ia2 + ia1;
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-
-      Xb12_out = Xb12C_out * co1;
-      Yb12_out = Yb12C_out * co1;
-      Xc12_out = Xc12C_out * co2;
-      Yc12_out = Yc12C_out * co2;
-      Xd12_out = Xd12C_out * co3;
-      Yd12_out = Yd12C_out * co3;
-         
-      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-      //Xb12_out -= Yb12C_out * si1;
-      p0 = Yb12C_out * si1;
-      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-      //Yb12_out += Xb12C_out * si1;
-      p1 = Xb12C_out * si1;
-      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-      //Xc12_out -= Yc12C_out * si2;
-      p2 = Yc12C_out * si2;
-      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-      //Yc12_out += Xc12C_out * si2;
-      p3 = Xc12C_out * si2;
-      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-      //Xd12_out -= Yd12C_out * si3;
-      p4 = Yd12C_out * si3;
-      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-      //Yd12_out += Xd12C_out * si3;
-      p5 = Xd12C_out * si3;
-      
-      Xb12_out += p0;
-      Yb12_out -= p1;
-      Xc12_out += p2;
-      Yc12_out -= p3;
-      Xd12_out += p4;
-      Yd12_out -= p5;
-
-      /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-      pSrc[2u * i1] = Xc12_out;
-
-      /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-      pSrc[(2u * i1) + 1u] = Yc12_out;
-
-      /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-      pSrc[2u * i2] = Xb12_out;
-
-      /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-      pSrc[(2u * i2) + 1u] = Yb12_out;
-
-      /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-      pSrc[2u * i3] = Xd12_out;
-
-      /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-      pSrc[(2u * i3) + 1u] = Yd12_out;
-
-      /*  Twiddle coefficients index modifier */
-      ia1 += twidCoefModifier;
-
-      /*  Updating input index */
-      i0++;
-
-   }
-   while(--j);
-
-   twidCoefModifier <<= 2u;
-
-   /*  Calculation of second stage to excluding last stage */
-   for (k = fftLen >> 2u; k > 4u; k >>= 2u)
-   {
-      /*  Initializations for the first stage */
-      n1 = n2;
-      n2 >>= 2u;
-      ia1 = 0u;
-
-      /*  Calculation of first stage */
-      j = 0;
-      do
-      {
-         /*  index calculation for the coefficients */
-         ia2 = ia1 + ia1;
-         ia3 = ia2 + ia1;
-         co1 = pCoef[ia1 * 2u];
-         si1 = pCoef[(ia1 * 2u) + 1u];
-         co2 = pCoef[ia2 * 2u];
-         si2 = pCoef[(ia2 * 2u) + 1u];
-         co3 = pCoef[ia3 * 2u];
-         si3 = pCoef[(ia3 * 2u) + 1u];
-
-         /*  Twiddle coefficients index modifier */
-         ia1 += twidCoefModifier;
-      
-         i0 = j;
-         do
-         {
-            /*  index calculation for the input as, */
-            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-            i1 = i0 + n2;
-            i2 = i1 + n2;
-            i3 = i2 + n2;
-
-            xaIn = pSrc[(2u * i0)];
-            yaIn = pSrc[(2u * i0) + 1u];
-
-            xbIn = pSrc[(2u * i1)];
-            ybIn = pSrc[(2u * i1) + 1u];
-
-            xcIn = pSrc[(2u * i2)];
-            ycIn = pSrc[(2u * i2) + 1u];
-
-            xdIn = pSrc[(2u * i3)];
-            ydIn = pSrc[(2u * i3) + 1u];
-
-            /* xa - xc */
-            Xaminusc = xaIn - xcIn;
-            /* (xb - xd) */
-            Xbminusd = xbIn - xdIn;
-            /* ya - yc */
-            Yaminusc = yaIn - ycIn;
-            /* (yb - yd) */
-            Ybminusd = ybIn - ydIn;
-
-            /* xa + xc */
-            Xaplusc = xaIn + xcIn;
-            /* xb + xd */
-            Xbplusd = xbIn + xdIn;
-            /* ya + yc */
-            Yaplusc = yaIn + ycIn;
-            /* yb + yd */
-            Ybplusd = ybIn + ydIn;
-
-            /* (xa - xc) + (yb - yd) */
-            Xb12C_out = (Xaminusc + Ybminusd);
-            /* (ya - yc) -  (xb - xd) */
-            Yb12C_out = (Yaminusc - Xbminusd);
-            /* xa + xc -(xb + xd) */
-            Xc12C_out = (Xaplusc - Xbplusd);
-            /* (ya + yc) - (yb + yd) */
-            Yc12C_out = (Yaplusc - Ybplusd);
-            /* (xa - xc) - (yb - yd) */
-            Xd12C_out = (Xaminusc - Ybminusd);
-            /* (ya - yc) +  (xb - xd) */
-            Yd12C_out = (Xbminusd + Yaminusc);
-
-            pSrc[(2u * i0)] = Xaplusc + Xbplusd;
-            pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
-
-            Xb12_out = Xb12C_out * co1;
-            Yb12_out = Yb12C_out * co1;
-            Xc12_out = Xc12C_out * co2;
-            Yc12_out = Yc12C_out * co2;
-            Xd12_out = Xd12C_out * co3;
-            Yd12_out = Yd12C_out * co3;
-         
-            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-            //Xb12_out -= Yb12C_out * si1;
-            p0 = Yb12C_out * si1;
-            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-            //Yb12_out += Xb12C_out * si1;
-            p1 = Xb12C_out * si1;
-            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-            //Xc12_out -= Yc12C_out * si2;
-            p2 = Yc12C_out * si2;
-            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-            //Yc12_out += Xc12C_out * si2;
-            p3 = Xc12C_out * si2;
-            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-            //Xd12_out -= Yd12C_out * si3;
-            p4 = Yd12C_out * si3;
-            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-            //Yd12_out += Xd12C_out * si3;
-            p5 = Xd12C_out * si3;
-            
-            Xb12_out += p0;
-            Yb12_out -= p1;
-            Xc12_out += p2;
-            Yc12_out -= p3;
-            Xd12_out += p4;
-            Yd12_out -= p5;
-
-            /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-            pSrc[2u * i1] = Xc12_out;
-
-            /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-            pSrc[(2u * i1) + 1u] = Yc12_out;
-
-            /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-            pSrc[2u * i2] = Xb12_out;
-
-            /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-            pSrc[(2u * i2) + 1u] = Yb12_out;
-
-            /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-            pSrc[2u * i3] = Xd12_out;
-
-            /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-            pSrc[(2u * i3) + 1u] = Yd12_out;
-
-            i0 += n1;
-         } while(i0 < fftLen);
-         j++;
-      } while(j <= (n2 - 1u));
-      twidCoefModifier <<= 2u;
-   }
-
-   j = fftLen >> 2;
-   ptr1 = &pSrc[0];
-
-   /*  Calculations of last stage */
-   do
-   {
-      xaIn = ptr1[0];
-      yaIn = ptr1[1];
-      xbIn = ptr1[2];
-      ybIn = ptr1[3];
-      xcIn = ptr1[4];
-      ycIn = ptr1[5];
-      xdIn = ptr1[6];
-      ydIn = ptr1[7];
-
-      /* xa + xc */
-      Xaplusc = xaIn + xcIn;
-
-      /* xa - xc */
-      Xaminusc = xaIn - xcIn;
-
-      /* ya + yc */
-      Yaplusc = yaIn + ycIn;
-
-      /* ya - yc */
-      Yaminusc = yaIn - ycIn;
-
-      /* xb + xd */
-      Xbplusd = xbIn + xdIn;
-
-      /* yb + yd */
-      Ybplusd = ybIn + ydIn;
-
-      /* (xb-xd) */
-      Xbminusd = xbIn - xdIn;
-
-      /* (yb-yd) */
-      Ybminusd = ybIn - ydIn;
-
-      /* xa' = xa + xb + xc + xd */
-      a0 = (Xaplusc + Xbplusd);
-      /* ya' = ya + yb + yc + yd */
-      a1 = (Yaplusc + Ybplusd);
-      /* xc' = (xa-xb+xc-xd) */
-      a2 = (Xaplusc - Xbplusd);
-      /* yc' = (ya-yb+yc-yd) */
-      a3 = (Yaplusc - Ybplusd);
-      /* xb' = (xa+yb-xc-yd) */
-      a4 = (Xaminusc + Ybminusd);
-      /* yb' = (ya-xb-yc+xd) */
-      a5 = (Yaminusc - Xbminusd);
-      /* xd' = (xa-yb-xc+yd)) */
-      a6 = (Xaminusc - Ybminusd);
-      /* yd' = (ya+xb-yc-xd) */
-      a7 = (Xbminusd + Yaminusc);
-   
-      ptr1[0] = a0;
-      ptr1[1] = a1;
-      ptr1[2] = a2;
-      ptr1[3] = a3;
-      ptr1[4] = a4;
-      ptr1[5] = a5;
-      ptr1[6] = a6;
-      ptr1[7] = a7;
-
-      /* increment pointer by 8 */
-      ptr1 += 8u;
-   } while(--j);
-
-#else
-
-   float32_t t1, t2, r1, r2, s1, s2;
-
-   /* Run the below code for Cortex-M0 */
-
-   /*  Initializations for the fft calculation */
-   n2 = fftLen;
-   n1 = n2;
-   for (k = fftLen; k > 1u; k >>= 2u)
-   {
-      /*  Initializations for the fft calculation */
-      n1 = n2;
-      n2 >>= 2u;
-      ia1 = 0u;
-
-      /*  FFT Calculation */
-      j = 0;
-      do
-      {
-         /*  index calculation for the coefficients */
-         ia2 = ia1 + ia1;
-         ia3 = ia2 + ia1;
-         co1 = pCoef[ia1 * 2u];
-         si1 = pCoef[(ia1 * 2u) + 1u];
-         co2 = pCoef[ia2 * 2u];
-         si2 = pCoef[(ia2 * 2u) + 1u];
-         co3 = pCoef[ia3 * 2u];
-         si3 = pCoef[(ia3 * 2u) + 1u];
-
-         /*  Twiddle coefficients index modifier */
-         ia1 = ia1 + twidCoefModifier;
-
-         i0 = j;
-         do
-         {
-            /*  index calculation for the input as, */
-            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-            i1 = i0 + n2;
-            i2 = i1 + n2;
-            i3 = i2 + n2;
-
-            /* xa + xc */
-            r1 = pSrc[(2u * i0)] + pSrc[(2u * i2)];
-
-            /* xa - xc */
-            r2 = pSrc[(2u * i0)] - pSrc[(2u * i2)];
-
-            /* ya + yc */
-            s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
-
-            /* ya - yc */
-            s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
-
-            /* xb + xd */
-            t1 = pSrc[2u * i1] + pSrc[2u * i3];
-
-            /* xa' = xa + xb + xc + xd */
-            pSrc[2u * i0] = r1 + t1;
-
-            /* xa + xc -(xb + xd) */
-            r1 = r1 - t1;
-
-            /* yb + yd */
-            t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
-
-            /* ya' = ya + yb + yc + yd */
-            pSrc[(2u * i0) + 1u] = s1 + t2;
-
-            /* (ya + yc) - (yb + yd) */
-            s1 = s1 - t2;
-
-            /* (yb - yd) */
-            t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
-
-            /* (xb - xd) */
-            t2 = pSrc[2u * i1] - pSrc[2u * i3];
-
-            /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-            pSrc[2u * i1] = (r1 * co2) + (s1 * si2);
-
-            /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-            pSrc[(2u * i1) + 1u] = (s1 * co2) - (r1 * si2);
-
-            /* (xa - xc) + (yb - yd) */
-            r1 = r2 + t1;
-
-            /* (xa - xc) - (yb - yd) */
-            r2 = r2 - t1;
-
-            /* (ya - yc) -  (xb - xd) */
-            s1 = s2 - t2;
-
-            /* (ya - yc) +  (xb - xd) */
-            s2 = s2 + t2;
-
-            /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-            pSrc[2u * i2] = (r1 * co1) + (s1 * si1);
-
-            /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-            pSrc[(2u * i2) + 1u] = (s1 * co1) - (r1 * si1);
-
-            /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-            pSrc[2u * i3] = (r2 * co3) + (s2 * si3);
-
-            /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-            pSrc[(2u * i3) + 1u] = (s2 * co3) - (r2 * si3);
-         
-            i0 += n1;
-         } while( i0 < fftLen);
-         j++;
-      } while(j <= (n2 - 1u));
-      twidCoefModifier <<= 2u;
-   }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY_FAMILY */
-
-}
-
-/*    
-* @brief  Core function for the floating-point CIFFT butterfly process.   
-* @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
-* @param[in]      fftLen           length of the FFT.   
-* @param[in]      *pCoef           points to twiddle coefficient buffer.   
-* @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
-* @param[in]      onebyfftLen      value of 1/fftLen.   
-* @return none.   
-*/
-
-void arm_radix4_butterfly_inverse_f32(
-float32_t * pSrc,
-uint16_t fftLen,
-float32_t * pCoef,
-uint16_t twidCoefModifier,
-float32_t onebyfftLen)
-{
-   float32_t co1, co2, co3, si1, si2, si3;
-   uint32_t ia1, ia2, ia3;
-   uint32_t i0, i1, i2, i3;
-   uint32_t n1, n2, j, k;
-
-#ifndef ARM_MATH_CM0_FAMILY_FAMILY
-
-   float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
-   float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
-   Ybminusd;
-   float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
-   float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
-   float32_t *ptr1;
-   float32_t p0,p1,p2,p3,p4,p5,p6,p7;
-   float32_t a0,a1,a2,a3,a4,a5,a6,a7;
-
-
-   /*  Initializations for the first stage */
-   n2 = fftLen;
-   n1 = n2;
-
-   /* n2 = fftLen/4 */
-   n2 >>= 2u;
-   i0 = 0u;
-   ia1 = 0u;
-
-   j = n2;
-
-   /*  Calculation of first stage */
-   do
-   {
-      /*  index calculation for the input as, */
-      /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-      i1 = i0 + n2;
-      i2 = i1 + n2;
-      i3 = i2 + n2;
-
-      /*  Butterfly implementation */
-      xaIn = pSrc[(2u * i0)];
-      yaIn = pSrc[(2u * i0) + 1u];
-
-      xcIn = pSrc[(2u * i2)];
-      ycIn = pSrc[(2u * i2) + 1u];
-
-      xbIn = pSrc[(2u * i1)];
-      ybIn = pSrc[(2u * i1) + 1u];
-
-      xdIn = pSrc[(2u * i3)];
-      ydIn = pSrc[(2u * i3) + 1u];
-
-      /* xa + xc */
-      Xaplusc = xaIn + xcIn;
-      /* xb + xd */
-      Xbplusd = xbIn + xdIn;
-      /* ya + yc */
-      Yaplusc = yaIn + ycIn;
-      /* yb + yd */
-      Ybplusd = ybIn + ydIn;
-
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-
-      /* xa - xc */
-      Xaminusc = xaIn - xcIn;
-      /* xb - xd */
-      Xbminusd = xbIn - xdIn;
-      /* ya - yc */
-      Yaminusc = yaIn - ycIn;
-      /* yb - yd */
-      Ybminusd = ybIn - ydIn;
-
-      /* xa' = xa + xb + xc + xd */
-      pSrc[(2u * i0)] = Xaplusc + Xbplusd;
-
-      /* ya' = ya + yb + yc + yd */
-      pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
-
-      /* (xa - xc) - (yb - yd) */
-      Xb12C_out = (Xaminusc - Ybminusd);
-      /* (ya - yc) + (xb - xd) */
-      Yb12C_out = (Yaminusc + Xbminusd);
-      /* (xa + xc) - (xb + xd) */
-      Xc12C_out = (Xaplusc - Xbplusd);
-      /* (ya + yc) - (yb + yd) */
-      Yc12C_out = (Yaplusc - Ybplusd);
-      /* (xa - xc) + (yb - yd) */
-      Xd12C_out = (Xaminusc + Ybminusd);
-      /* (ya - yc) - (xb - xd) */
-      Yd12C_out = (Yaminusc - Xbminusd);
-
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-
-      /*  index calculation for the coefficients */
-      ia3 = ia2 + ia1;
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-
-      Xb12_out = Xb12C_out * co1;
-      Yb12_out = Yb12C_out * co1;
-      Xc12_out = Xc12C_out * co2;
-      Yc12_out = Yc12C_out * co2;
-      Xd12_out = Xd12C_out * co3;
-      Yd12_out = Yd12C_out * co3;
-   
-      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-      //Xb12_out -= Yb12C_out * si1;
-      p0 = Yb12C_out * si1;
-      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-      //Yb12_out += Xb12C_out * si1;
-      p1 = Xb12C_out * si1;
-      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-      //Xc12_out -= Yc12C_out * si2;
-      p2 = Yc12C_out * si2;
-      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-      //Yc12_out += Xc12C_out * si2;
-      p3 = Xc12C_out * si2;
-      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-      //Xd12_out -= Yd12C_out * si3;
-      p4 = Yd12C_out * si3;
-      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-      //Yd12_out += Xd12C_out * si3;
-      p5 = Xd12C_out * si3;
-      
-      Xb12_out -= p0;
-      Yb12_out += p1;
-      Xc12_out -= p2;
-      Yc12_out += p3;
-      Xd12_out -= p4;
-      Yd12_out += p5;
-
-      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-      pSrc[2u * i1] = Xc12_out;
-
-      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-      pSrc[(2u * i1) + 1u] = Yc12_out;
-
-      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-      pSrc[2u * i2] = Xb12_out;
-
-      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-      pSrc[(2u * i2) + 1u] = Yb12_out;
-
-      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-      pSrc[2u * i3] = Xd12_out;
-
-      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-      pSrc[(2u * i3) + 1u] = Yd12_out;
-
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-
-      /*  Updating input index */
-      i0 = i0 + 1u;
-
-   } while(--j);
-
-   twidCoefModifier <<= 2u;
-
-   /*  Calculation of second stage to excluding last stage */
-   for (k = fftLen >> 2u; k > 4u; k >>= 2u)
-   {
-      /*  Initializations for the first stage */
-      n1 = n2;
-      n2 >>= 2u;
-      ia1 = 0u;
-
-      /*  Calculation of first stage */
-      j = 0;
-      do
-      {
-         /*  index calculation for the coefficients */
-         ia2 = ia1 + ia1;
-         ia3 = ia2 + ia1;
-         co1 = pCoef[ia1 * 2u];
-         si1 = pCoef[(ia1 * 2u) + 1u];
-         co2 = pCoef[ia2 * 2u];
-         si2 = pCoef[(ia2 * 2u) + 1u];
-         co3 = pCoef[ia3 * 2u];
-         si3 = pCoef[(ia3 * 2u) + 1u];
-
-         /*  Twiddle coefficients index modifier */
-         ia1 = ia1 + twidCoefModifier;
-
-         i0 = j;
-         do
-         {
-            /*  index calculation for the input as, */
-            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-            i1 = i0 + n2;
-            i2 = i1 + n2;
-            i3 = i2 + n2;
-
-            xaIn = pSrc[(2u * i0)];
-            yaIn = pSrc[(2u * i0) + 1u];
-
-            xbIn = pSrc[(2u * i1)];
-            ybIn = pSrc[(2u * i1) + 1u];
-
-            xcIn = pSrc[(2u * i2)];
-            ycIn = pSrc[(2u * i2) + 1u];
-
-            xdIn = pSrc[(2u * i3)];
-            ydIn = pSrc[(2u * i3) + 1u];
-
-            /* xa - xc */
-            Xaminusc = xaIn - xcIn;
-            /* (xb - xd) */
-            Xbminusd = xbIn - xdIn;
-            /* ya - yc */
-            Yaminusc = yaIn - ycIn;
-            /* (yb - yd) */
-            Ybminusd = ybIn - ydIn;
-
-            /* xa + xc */
-            Xaplusc = xaIn + xcIn;
-            /* xb + xd */
-            Xbplusd = xbIn + xdIn;
-            /* ya + yc */
-            Yaplusc = yaIn + ycIn;
-            /* yb + yd */
-            Ybplusd = ybIn + ydIn;
-
-            /* (xa - xc) - (yb - yd) */
-            Xb12C_out = (Xaminusc - Ybminusd);
-            /* (ya - yc) +  (xb - xd) */
-            Yb12C_out = (Yaminusc + Xbminusd);
-            /* xa + xc -(xb + xd) */
-            Xc12C_out = (Xaplusc - Xbplusd);
-            /* (ya + yc) - (yb + yd) */
-            Yc12C_out = (Yaplusc - Ybplusd);
-            /* (xa - xc) + (yb - yd) */
-            Xd12C_out = (Xaminusc + Ybminusd);
-            /* (ya - yc) -  (xb - xd) */
-            Yd12C_out = (Yaminusc - Xbminusd);
-
-            pSrc[(2u * i0)] = Xaplusc + Xbplusd;
-            pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
-
-            Xb12_out = Xb12C_out * co1;
-            Yb12_out = Yb12C_out * co1;
-            Xc12_out = Xc12C_out * co2;
-            Yc12_out = Yc12C_out * co2;
-            Xd12_out = Xd12C_out * co3;
-            Yd12_out = Yd12C_out * co3;
-
-            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-            //Xb12_out -= Yb12C_out * si1;
-            p0 = Yb12C_out * si1;
-            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-            //Yb12_out += Xb12C_out * si1;
-            p1 = Xb12C_out * si1;
-            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-            //Xc12_out -= Yc12C_out * si2;
-            p2 = Yc12C_out * si2;
-            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-            //Yc12_out += Xc12C_out * si2;
-            p3 = Xc12C_out * si2;
-            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-            //Xd12_out -= Yd12C_out * si3;
-            p4 = Yd12C_out * si3;
-            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-            //Yd12_out += Xd12C_out * si3;
-            p5 = Xd12C_out * si3;
-            
-            Xb12_out -= p0;
-            Yb12_out += p1;
-            Xc12_out -= p2;
-            Yc12_out += p3;
-            Xd12_out -= p4;
-            Yd12_out += p5;
-
-            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-            pSrc[2u * i1] = Xc12_out;
-
-            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-            pSrc[(2u * i1) + 1u] = Yc12_out;
-
-            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-            pSrc[2u * i2] = Xb12_out;
-
-            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-            pSrc[(2u * i2) + 1u] = Yb12_out;
-
-            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-            pSrc[2u * i3] = Xd12_out;
-
-            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-            pSrc[(2u * i3) + 1u] = Yd12_out;
-
-            i0 += n1;
-         } while(i0 < fftLen);
-         j++;
-      } while(j <= (n2 - 1u));
-      twidCoefModifier <<= 2u;
-   }
-   /*  Initializations of last stage */
-
-   j = fftLen >> 2;
-   ptr1 = &pSrc[0];
-
-   /*  Calculations of last stage */
-   do
-   {
-      xaIn = ptr1[0];
-      yaIn = ptr1[1];
-      xbIn = ptr1[2];
-      ybIn = ptr1[3];
-      xcIn = ptr1[4];
-      ycIn = ptr1[5];
-      xdIn = ptr1[6];
-      ydIn = ptr1[7];
-
-      /*  Butterfly implementation */
-      /* xa + xc */
-      Xaplusc = xaIn + xcIn;
-
-      /* xa - xc */
-      Xaminusc = xaIn - xcIn;
-
-      /* ya + yc */
-      Yaplusc = yaIn + ycIn;
-
-      /* ya - yc */
-      Yaminusc = yaIn - ycIn;
-
-      /* xb + xd */
-      Xbplusd = xbIn + xdIn;
-
-      /* yb + yd */
-      Ybplusd = ybIn + ydIn;
-
-      /* (xb-xd) */
-      Xbminusd = xbIn - xdIn;
-
-      /* (yb-yd) */
-      Ybminusd = ybIn - ydIn;
-      
-      /* xa' = (xa+xb+xc+xd) * onebyfftLen */
-      a0 = (Xaplusc + Xbplusd);
-      /* ya' = (ya+yb+yc+yd) * onebyfftLen */
-      a1 = (Yaplusc + Ybplusd);
-      /* xc' = (xa-xb+xc-xd) * onebyfftLen */
-      a2 = (Xaplusc - Xbplusd);
-      /* yc' = (ya-yb+yc-yd) * onebyfftLen  */
-      a3 = (Yaplusc - Ybplusd);
-      /* xb' = (xa-yb-xc+yd) * onebyfftLen */
-      a4 = (Xaminusc - Ybminusd);
-      /* yb' = (ya+xb-yc-xd) * onebyfftLen */
-      a5 = (Yaminusc + Xbminusd);
-      /* xd' = (xa-yb-xc+yd) * onebyfftLen */
-      a6 = (Xaminusc + Ybminusd);
-      /* yd' = (ya-xb-yc+xd) * onebyfftLen */
-      a7 = (Yaminusc - Xbminusd);
-   
-      p0 = a0 * onebyfftLen;
-      p1 = a1 * onebyfftLen;
-      p2 = a2 * onebyfftLen;
-      p3 = a3 * onebyfftLen;
-      p4 = a4 * onebyfftLen;
-      p5 = a5 * onebyfftLen;
-      p6 = a6 * onebyfftLen;
-      p7 = a7 * onebyfftLen;
-   
-      /* xa' = (xa+xb+xc+xd) * onebyfftLen */
-      ptr1[0] = p0;
-      /* ya' = (ya+yb+yc+yd) * onebyfftLen */
-      ptr1[1] = p1;
-      /* xc' = (xa-xb+xc-xd) * onebyfftLen */
-      ptr1[2] = p2;
-      /* yc' = (ya-yb+yc-yd) * onebyfftLen  */
-      ptr1[3] = p3;
-      /* xb' = (xa-yb-xc+yd) * onebyfftLen */
-      ptr1[4] = p4;
-      /* yb' = (ya+xb-yc-xd) * onebyfftLen */
-      ptr1[5] = p5;
-      /* xd' = (xa-yb-xc+yd) * onebyfftLen */
-      ptr1[6] = p6;
-      /* yd' = (ya-xb-yc+xd) * onebyfftLen */
-      ptr1[7] = p7;
-
-      /* increment source pointer by 8 for next calculations */
-      ptr1 = ptr1 + 8u;
-
-   } while(--j);
-
-#else
-
-   float32_t t1, t2, r1, r2, s1, s2;
-
-   /* Run the below code for Cortex-M0 */
-
-   /*  Initializations for the first stage */
-   n2 = fftLen;
-   n1 = n2;
-
-   /*  Calculation of first stage */
-   for (k = fftLen; k > 4u; k >>= 2u)
-   {
-      /*  Initializations for the first stage */
-      n1 = n2;
-      n2 >>= 2u;
-      ia1 = 0u;
-
-      /*  Calculation of first stage */
-      j = 0;
-      do
-      {
-         /*  index calculation for the coefficients */
-         ia2 = ia1 + ia1;
-         ia3 = ia2 + ia1;
-         co1 = pCoef[ia1 * 2u];
-         si1 = pCoef[(ia1 * 2u) + 1u];
-         co2 = pCoef[ia2 * 2u];
-         si2 = pCoef[(ia2 * 2u) + 1u];
-         co3 = pCoef[ia3 * 2u];
-         si3 = pCoef[(ia3 * 2u) + 1u];
-
-         /*  Twiddle coefficients index modifier */
-         ia1 = ia1 + twidCoefModifier;
-
-         i0 = j;
-         do
-         {
-            /*  index calculation for the input as, */
-            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-            i1 = i0 + n2;
-            i2 = i1 + n2;
-            i3 = i2 + n2;
-
-            /* xa + xc */
-            r1 = pSrc[(2u * i0)] + pSrc[(2u * i2)];
-
-            /* xa - xc */
-            r2 = pSrc[(2u * i0)] - pSrc[(2u * i2)];
-
-            /* ya + yc */
-            s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
-
-            /* ya - yc */
-            s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
-
-            /* xb + xd */
-            t1 = pSrc[2u * i1] + pSrc[2u * i3];
-
-            /* xa' = xa + xb + xc + xd */
-            pSrc[2u * i0] = r1 + t1;
-
-            /* xa + xc -(xb + xd) */
-            r1 = r1 - t1;
-
-            /* yb + yd */
-            t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
-
-            /* ya' = ya + yb + yc + yd */
-            pSrc[(2u * i0) + 1u] = s1 + t2;
-
-            /* (ya + yc) - (yb + yd) */
-            s1 = s1 - t2;
-
-            /* (yb - yd) */
-            t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
-
-            /* (xb - xd) */
-            t2 = pSrc[2u * i1] - pSrc[2u * i3];
-
-            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-            pSrc[2u * i1] = (r1 * co2) - (s1 * si2);
-
-            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-            pSrc[(2u * i1) + 1u] = (s1 * co2) + (r1 * si2);
-
-            /* (xa - xc) - (yb - yd) */
-            r1 = r2 - t1;
-
-            /* (xa - xc) + (yb - yd) */
-            r2 = r2 + t1;
-
-            /* (ya - yc) +  (xb - xd) */
-            s1 = s2 + t2;
-
-            /* (ya - yc) -  (xb - xd) */
-            s2 = s2 - t2;
-
-            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-            pSrc[2u * i2] = (r1 * co1) - (s1 * si1);
-
-            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-            pSrc[(2u * i2) + 1u] = (s1 * co1) + (r1 * si1);
-
-            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-            pSrc[2u * i3] = (r2 * co3) - (s2 * si3);
-
-            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-            pSrc[(2u * i3) + 1u] = (s2 * co3) + (r2 * si3);
-         
-            i0 += n1;
-         } while( i0 < fftLen);
-         j++;
-      } while(j <= (n2 - 1u));
-      twidCoefModifier <<= 2u;
-   }
-   /*  Initializations of last stage */
-   n1 = n2;
-   n2 >>= 2u;
-
-   /*  Calculations of last stage */
-   for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
-   {
-      /*  index calculation for the input as, */
-      /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-      i1 = i0 + n2;
-      i2 = i1 + n2;
-      i3 = i2 + n2;
-
-      /*  Butterfly implementation */
-      /* xa + xc */
-      r1 = pSrc[2u * i0] + pSrc[2u * i2];
-
-      /* xa - xc */
-      r2 = pSrc[2u * i0] - pSrc[2u * i2];
-
-      /* ya + yc */
-      s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
-
-      /* ya - yc */
-      s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
-
-      /* xc + xd */
-      t1 = pSrc[2u * i1] + pSrc[2u * i3];
-
-      /* xa' = xa + xb + xc + xd */
-      pSrc[2u * i0] = (r1 + t1) * onebyfftLen;
-
-      /* (xa + xb) - (xc + xd) */
-      r1 = r1 - t1;
-
-      /* yb + yd */
-      t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
-
-      /* ya' = ya + yb + yc + yd */
-      pSrc[(2u * i0) + 1u] = (s1 + t2) * onebyfftLen;
-
-      /* (ya + yc) - (yb + yd) */
-      s1 = s1 - t2;
-
-      /* (yb-yd) */
-      t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
-
-      /* (xb-xd) */
-      t2 = pSrc[2u * i1] - pSrc[2u * i3];
-
-      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-      pSrc[2u * i1] = r1 * onebyfftLen;
-
-      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-      pSrc[(2u * i1) + 1u] = s1 * onebyfftLen;
-
-      /* (xa - xc) - (yb-yd) */
-      r1 = r2 - t1;
-
-      /* (xa - xc) + (yb-yd) */
-      r2 = r2 + t1;
-
-      /* (ya - yc) + (xb-xd) */
-      s1 = s2 + t2;
-
-      /* (ya - yc) - (xb-xd) */
-      s2 = s2 - t2;
-
-      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-      pSrc[2u * i2] = r1 * onebyfftLen;
-
-      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-      pSrc[(2u * i2) + 1u] = s1 * onebyfftLen;
-
-      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-      pSrc[2u * i3] = r2 * onebyfftLen;
-
-      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-      pSrc[(2u * i3) + 1u] = s2 * onebyfftLen;
-   }
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY_FAMILY */
-}
-
-/**    
-* @addtogroup ComplexFFT    
-* @{    
-*/
-
-/**    
-* @details    
-* @brief Processing function for the floating-point Radix-4 CFFT/CIFFT.   
-* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_f32 and will be removed
-* in the future.
-* @param[in]      *S    points to an instance of the floating-point Radix-4 CFFT/CIFFT structure.   
-* @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place.   
-* @return none.   
-*/
-
-void arm_cfft_radix4_f32(
-const arm_cfft_radix4_instance_f32 * S,
-float32_t * pSrc)
-{
-
-   if(S->ifftFlag == 1u)
-   {
-      /*  Complex IFFT radix-4  */
-      arm_radix4_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
-      S->twidCoefModifier, S->onebyfftLen);
-   }
-   else
-   {
-      /*  Complex FFT radix-4  */
-      arm_radix4_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
-      S->twidCoefModifier);
-   }
-
-   if(S->bitReverseFlag == 1u)
-   {
-      /*  Bit Reversal */
-      arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-   }
-
-}
-
-/**    
-* @} end of ComplexFFT group    
-*/
-
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
deleted file mode 100644
index 1e1ad7ca..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
+++ /dev/null
@@ -1,165 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_init_f32.c    
-*    
-* Description:	Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup ComplexFFT    
- * @{    
- */
-
-/**    
-* @brief  Initialization function for the floating-point CFFT/CIFFT.   
-* @deprecated Do not use this function.  It has been superceded by \ref arm_cfft_f32 and will be removed
-* in the future.
-* @param[in,out] *S             points to an instance of the floating-point CFFT/CIFFT structure.   
-* @param[in]     fftLen         length of the FFT.   
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.   
-*    
-* \par Description:   
-* \par    
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated   
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.    
-* \par    
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.    
-* \par    
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.    
-*/
-
-arm_status arm_cfft_radix4_init_f32(
-  arm_cfft_radix4_instance_f32 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (float32_t *) twiddleCoef;
-
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (S->fftLen)
-  {
-
-  case 4096u:
-    /*  Initializations of structure parameters for 4096 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.000244140625;
-    break;
-
-  case 1024u:
-    /*  Initializations of structure parameters for 1024 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 4u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 4u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.0009765625f;
-    break;
-
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-    S->onebyfftLen = 0.00390625f;
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-    S->onebyfftLen = 0.015625f;
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-    S->onebyfftLen = 0.0625f;
-    break;
-
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**    
- * @} end of ComplexFFT group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
deleted file mode 100644
index 7f29d675..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
+++ /dev/null
@@ -1,152 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_init_q15.c    
-*    
-* Description:	Radix-4 Decimation in Frequency Q15 FFT & IFFT initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-
-/**    
- * @addtogroup ComplexFFT    
- * @{    
- */
-
-
-/**    
-* @brief Initialization function for the Q15 CFFT/CIFFT.   
-* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
-* @param[in,out] *S             points to an instance of the Q15 CFFT/CIFFT structure.   
-* @param[in]     fftLen         length of the FFT.   
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.   
-*    
-* \par Description:   
-* \par    
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated   
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.    
-* \par    
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.    
-* \par    
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.    
-*/
-
-arm_status arm_cfft_radix4_init_q15(
-  arm_cfft_radix4_instance_q15 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (S->fftLen)
-  {
-  case 4096u:
-    /*  Initializations of structure parameters for 4096 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-
-    break;
-
-  case 1024u:
-    /*  Initializations of structure parameters for 1024 point FFT */
-    S->twidCoefModifier = 4u;
-    S->bitRevFactor = 4u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-
-    break;
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-
-    break;
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**    
- * @} end of ComplexFFT group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
deleted file mode 100644
index a375a5f5..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
+++ /dev/null
@@ -1,148 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5   
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_init_q31.c    
-*    
-* Description:	Radix-4 Decimation in Frequency Q31 FFT & IFFT initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup ComplexFFT    
- * @{    
- */
-
-/**    
-*    
-* @brief  Initialization function for the Q31 CFFT/CIFFT.   
-* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
-* @param[in,out] *S             points to an instance of the Q31 CFFT/CIFFT structure.   
-* @param[in]     fftLen         length of the FFT.   
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.   
-*    
-* \par Description:   
-* \par    
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated   
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.    
-* \par    
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.    
-* \par    
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.    
-*/
-
-arm_status arm_cfft_radix4_init_q31(
-  arm_cfft_radix4_instance_q31 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of Instance structure depending on the FFT length */
-  switch (S->fftLen)
-  {
-    /*  Initializations of structure parameters for 4096 point FFT */
-  case 4096u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-    break;
-
-    /*  Initializations of structure parameters for 1024 point FFT */
-  case 1024u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 4u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 4u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-    break;
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-    break;
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**    
- * @} end of ComplexFFT group    
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q15.c
deleted file mode 100644
index 761e43e1..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q15.c
+++ /dev/null
@@ -1,1924 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_q15.c    
-*    
-* Description:	This file has function definition of Radix-4 FFT & IFFT function and    
-*				In-place bit reversal using bit reversal table    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-
-void arm_radix4_butterfly_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  q15_t * pCoef16,
-  uint32_t twidCoefModifier);
-
-void arm_radix4_butterfly_inverse_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  q15_t * pCoef16,
-  uint32_t twidCoefModifier);
-
-void arm_bitreversal_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  uint16_t bitRevFactor,
-  uint16_t * pBitRevTab);
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup ComplexFFT    
- * @{    
- */
-
-
-/**    
- * @details    
- * @brief Processing function for the Q15 CFFT/CIFFT.   
- * @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
- * @param[in]      *S    points to an instance of the Q15 CFFT/CIFFT structure.   
- * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.   
- * @return none.   
- *     
- * \par Input and output formats:    
- * \par    
- * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
- * Hence the output format is different for different FFT sizes.    
- * The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:   
- * \par   
- * \image html CFFTQ15.gif "Input and Output Formats for Q15 CFFT"    
- * \image html CIFFTQ15.gif "Input and Output Formats for Q15 CIFFT"    
- */
-
-void arm_cfft_radix4_q15(
-  const arm_cfft_radix4_instance_q15 * S,
-  q15_t * pSrc)
-{
-  if(S->ifftFlag == 1u)
-  {
-    /*  Complex IFFT radix-4  */
-    arm_radix4_butterfly_inverse_q15(pSrc, S->fftLen, S->pTwiddle,
-                                     S->twidCoefModifier);
-  }
-  else
-  {
-    /*  Complex FFT radix-4  */
-    arm_radix4_butterfly_q15(pSrc, S->fftLen, S->pTwiddle,
-                             S->twidCoefModifier);
-  }
-
-  if(S->bitReverseFlag == 1u)
-  {
-    /*  Bit Reversal */
-    arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-  }
-
-}
-
-/**    
- * @} end of ComplexFFT group    
- */
-
-/*    
-* Radix-4 FFT algorithm used is :    
-*    
-* Input real and imaginary data:    
-* x(n) = xa + j * ya    
-* x(n+N/4 ) = xb + j * yb    
-* x(n+N/2 ) = xc + j * yc    
-* x(n+3N 4) = xd + j * yd    
-*    
-*    
-* Output real and imaginary data:    
-* x(4r) = xa'+ j * ya'    
-* x(4r+1) = xb'+ j * yb'    
-* x(4r+2) = xc'+ j * yc'    
-* x(4r+3) = xd'+ j * yd'    
-*    
-*    
-* Twiddle factors for radix-4 FFT:    
-* Wn = co1 + j * (- si1)    
-* W2n = co2 + j * (- si2)    
-* W3n = co3 + j * (- si3)    
-    
-* The real and imaginary output values for the radix-4 butterfly are    
-* xa' = xa + xb + xc + xd    
-* ya' = ya + yb + yc + yd    
-* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)    
-* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)    
-* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)    
-* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)    
-* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)    
-* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)    
-*    
-*/
-
-/**    
- * @brief  Core function for the Q15 CFFT butterfly process.   
- * @param[in, out] *pSrc16          points to the in-place buffer of Q15 data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef16         points to twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.   
- */
-
-void arm_radix4_butterfly_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  q15_t * pCoef16,
-  uint32_t twidCoefModifier)
-{
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t R, S, T, U;
-  q31_t C1, C2, C3, out1, out2;
-  uint32_t n1, n2, ic, i0, j, k;
-
-  q15_t *ptr1;
-  q15_t *pSi0;
-  q15_t *pSi1;
-  q15_t *pSi2;
-  q15_t *pSi3;
-
-  q31_t xaya, xbyb, xcyc, xdyd;
-
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-
-  /* Index for twiddle coefficient */
-  ic = 0u;
-
-  /* Index for input read and output write */
-  j = n2;
-  
-  pSi0 = pSrc16;
-  pSi1 = pSi0 + 2 * n2;
-  pSi2 = pSi1 + 2 * n2;
-  pSi3 = pSi2 + 2 * n2;
-
-  /* Input is in 1.15(q15) format */
-
-  /*  start of first stage process */
-  do
-  {
-    /*  Butterfly implementation */
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-    /* Read ya (real), xa(imag) input */
-    T = _SIMD32_OFFSET(pSi0);
-    T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
-    T = __SHADD16(T, 0); // it turns out doing this twice is 2 cycles, the alternative takes 3 cycles
-    //in = ((int16_t) (T & 0xFFFF)) >> 2;       // alternative code that takes 3 cycles
-    //T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* Read yc (real), xc(imag) input */
-    S = _SIMD32_OFFSET(pSi2);
-    S = __SHADD16(S, 0);
-    S = __SHADD16(S, 0);
-
-    /* R = packed((ya + yc), (xa + xc) ) */
-    R = __QADD16(T, S);
-
-    /* S = packed((ya - yc), (xa - xc) ) */
-    S = __QSUB16(T, S);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* Read yb (real), xb(imag) input */
-    T = _SIMD32_OFFSET(pSi1);
-    T = __SHADD16(T, 0);
-    T = __SHADD16(T, 0);
-
-    /* Read yd (real), xd(imag) input */
-    U = _SIMD32_OFFSET(pSi3);
-    U = __SHADD16(U, 0);
-    U = __SHADD16(U, 0);
-
-    /* T = packed((yb + yd), (xb + xd) ) */
-    T = __QADD16(T, U);
-
-    /*  writing the butterfly processed i0 sample */
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    _SIMD32_OFFSET(pSi0) = __SHADD16(R, T);
-    pSi0 += 2;
-
-    /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
-    R = __QSUB16(R, T);
-
-    /* co2 & si2 are read from SIMD Coefficient pointer */
-    C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out1 = __SMUAD(C2, R) >> 16u;
-    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out2 = __SMUSDX(C2, R);
-
-#else
-
-    /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out1 = __SMUSDX(R, C2) >> 16u;
-    /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out2 = __SMUAD(C2, R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /*  Reading i0+fftLen/4 */
-    /* T = packed(yb, xb) */
-    T = _SIMD32_OFFSET(pSi1);
-    T = __SHADD16(T, 0);
-    T = __SHADD16(T, 0);
-
-    /* writing the butterfly processed i0 + fftLen/4 sample */
-    /* writing output(xc', yc') in little endian format */
-    _SIMD32_OFFSET(pSi1) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-    pSi1 += 2;
-
-    /*  Butterfly calculations */
-    /* U = packed(yd, xd) */
-    U = _SIMD32_OFFSET(pSi3);
-    U = __SHADD16(U, 0);
-    U = __SHADD16(U, 0);
-
-    /* T = packed(yb-yd, xb-xd) */
-    T = __QSUB16(T, U);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-    R = __QASX(S, T);
-    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-    S = __QSAX(S, T);
-
-#else
-
-    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-    R = __QSAX(S, T);
-    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-    S = __QASX(S, T);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* co1 & si1 are read from SIMD Coefficient pointer */
-    C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
-    /*  Butterfly process for the i0+fftLen/2 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out1 = __SMUAD(C1, S) >> 16u;
-    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out2 = __SMUSDX(C1, S);
-
-#else
-
-    /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out1 = __SMUSDX(S, C1) >> 16u;
-    /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out2 = __SMUAD(C1, S);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* writing output(xb', yb') in little endian format */
-    _SIMD32_OFFSET(pSi2) =
-      ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF);
-    pSi2 += 2;
-
-
-    /* co3 & si3 are read from SIMD Coefficient pointer */
-    C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
-    /*  Butterfly process for the i0+3fftLen/4 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-    out1 = __SMUAD(C3, R) >> 16u;
-    /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-    out2 = __SMUSDX(C3, R);
-
-#else
-
-    /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-    out1 = __SMUSDX(R, C3) >> 16u;
-    /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-    out2 = __SMUAD(C3, R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* writing output(xd', yd') in little endian format */
-    _SIMD32_OFFSET(pSi3) =
-      ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-    pSi3 += 2;
-
-    /*  Twiddle coefficients index modifier */
-    ic = ic + twidCoefModifier;
-
-  } while(--j);
-  /* data is in 4.11(q11) format */
-
-  /* end of first stage process */
-
-
-  /* start of middle stage process */
-
-  /*  Twiddle coefficients index modifier */
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of Middle stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the middle stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ic = 0u;
-
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
-      C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
-      C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
-
-      /*  Twiddle coefficients index modifier */
-      ic = ic + twidCoefModifier;
-      
-      pSi0 = pSrc16 + 2 * j;
-      pSi1 = pSi0 + 2 * n2;
-      pSi2 = pSi1 + 2 * n2;
-      pSi3 = pSi2 + 2 * n2;
-
-      /*  Butterfly implementation */
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  Reading i0, i0+fftLen/2 inputs */
-        /* Read ya (real), xa(imag) input */
-        T = _SIMD32_OFFSET(pSi0);
-
-        /* Read yc (real), xc(imag) input */
-        S = _SIMD32_OFFSET(pSi2);
-
-        /* R = packed( (ya + yc), (xa + xc)) */
-        R = __QADD16(T, S);
-
-        /* S = packed((ya - yc), (xa - xc)) */
-        S = __QSUB16(T, S);
-
-        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-        /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSi1);
-
-        /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSi3);
-
-        /* T = packed( (yb + yd), (xb + xd)) */
-        T = __QADD16(T, U);
-
-        /*  writing the butterfly processed i0 sample */
-
-        /* xa' = xa + xb + xc + xd */
-        /* ya' = ya + yb + yc + yd */
-        out1 = __SHADD16(R, T);
-        out1 = __SHADD16(out1, 0);
-        _SIMD32_OFFSET(pSi0) = out1;
-        pSi0 += 2 * n1;
-
-        /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
-        R = __SHSUB16(R, T);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out1 = __SMUAD(C2, R) >> 16u;
-
-        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out2 = __SMUSDX(C2, R);
-
-#else
-
-        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out1 = __SMUSDX(R, C2) >> 16u;
-
-        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out2 = __SMUAD(C2, R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /*  Reading i0+3fftLen/4 */
-        /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSi1);
-
-        /*  writing the butterfly processed i0 + fftLen/4 sample */
-        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        _SIMD32_OFFSET(pSi1) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-        pSi1 += 2 * n1;
-
-        /*  Butterfly calculations */
-
-        /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSi3);
-
-        /* T = packed(yb-yd, xb-xd) */
-        T = __QSUB16(T, U);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-        R = __SHASX(S, T);
-
-        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-        S = __SHSAX(S, T);
-
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = __SMUAD(C1, S) >> 16u;
-        out2 = __SMUSDX(C1, S);
-
-#else
-
-        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-        R = __SHSAX(S, T);
-
-        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-        S = __SHASX(S, T);
-
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = __SMUSDX(S, C1) >> 16u;
-        out2 = __SMUAD(C1, S);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-        _SIMD32_OFFSET(pSi2) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-        pSi2 += 2 * n1;
-
-        /*  Butterfly process for the i0+3fftLen/4 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUAD(C3, R) >> 16u;
-        out2 = __SMUSDX(C3, R);
-
-#else
-
-        out1 = __SMUSDX(R, C3) >> 16u;
-        out2 = __SMUAD(C3, R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-        /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-        _SIMD32_OFFSET(pSi3) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-        pSi3 += 2 * n1;
-      }
-    }
-    /*  Twiddle coefficients index modifier */
-    twidCoefModifier <<= 2u;
-  }
-  /* end of middle stage process */
-
-
-  /* data is in 10.6(q6) format for the 1024 point */
-  /* data is in 8.8(q8) format for the 256 point */
-  /* data is in 6.10(q10) format for the 64 point */
-  /* data is in 4.12(q12) format for the 16 point */
-
-  /*  Initializations for the last stage */
-  j = fftLen >> 2;
-
-  ptr1 = &pSrc16[0];
-
-  /* start of last stage process */
-
-  /*  Butterfly implementation */
-  do
-  {
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD32(ptr1)++;
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD32(ptr1)++;
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD32(ptr1)++;
-
-    /* Read xd (real), yd(imag) input */
-    xdyd = *__SIMD32(ptr1)++;
-
-    /* R = packed((ya + yc), (xa + xc)) */
-    R = __QADD16(xaya, xcyc);
-
-    /* T = packed((yb + yd), (xb + xd)) */
-    T = __QADD16(xbyb, xdyd);
-
-    /* pointer updation for writing */
-    ptr1 = ptr1 - 8u;
-
-
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    *__SIMD32(ptr1)++ = __SHADD16(R, T);
-
-    /* T = packed((yb + yd), (xb + xd)) */
-    T = __QADD16(xbyb, xdyd);
-
-    /* xc' = (xa-xb+xc-xd) */
-    /* yc' = (ya-yb+yc-yd) */
-    *__SIMD32(ptr1)++ = __SHSUB16(R, T);
-
-    /* S = packed((ya - yc), (xa - xc)) */
-    S = __QSUB16(xaya, xcyc);
-
-    /* Read yd (real), xd(imag) input */
-    /* T = packed( (yb - yd), (xb - xd))  */
-    U = __QSUB16(xbyb, xdyd);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xb' = (xa+yb-xc-yd) */
-    /* yb' = (ya-xb-yc+xd) */
-    *__SIMD32(ptr1)++ = __SHSAX(S, U);
-
-
-    /* xd' = (xa-yb-xc+yd) */
-    /* yd' = (ya+xb-yc-xd) */
-    *__SIMD32(ptr1)++ = __SHASX(S, U);
-
-#else
-
-    /* xb' = (xa+yb-xc-yd) */
-    /* yb' = (ya-xb-yc+xd) */
-    *__SIMD32(ptr1)++ = __SHASX(S, U);
-
-
-    /* xd' = (xa-yb-xc+yd) */
-    /* yd' = (ya+xb-yc-xd) */
-    *__SIMD32(ptr1)++ = __SHSAX(S, U);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-  } while(--j);
-
-  /* end of last stage process */
-
-  /* output is in 11.5(q5) format for the 1024 point */
-  /* output is in 9.7(q7) format for the 256 point   */
-  /* output is in 7.9(q9) format for the 64 point  */
-  /* output is in 5.11(q11) format for the 16 point  */
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t R0, R1, S0, S1, T0, T1, U0, U1;
-  q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
-  uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
-
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-
-  /* Index for twiddle coefficient */
-  ic = 0u;
-
-  /* Index for input read and output write */
-  i0 = 0u;
-  j = n2;
-
-  /* Input is in 1.15(q15) format */
-
-  /*  start of first stage process */
-  do
-  {
-    /*  Butterfly implementation */
-
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-
-    /* input is down scale by 4 to avoid overflow */
-    /* Read ya (real), xa(imag) input */
-    T0 = pSrc16[i0 * 2u] >> 2u;
-    T1 = pSrc16[(i0 * 2u) + 1u] >> 2u;
-
-    /* input is down scale by 4 to avoid overflow */
-    /* Read yc (real), xc(imag) input */
-    S0 = pSrc16[i2 * 2u] >> 2u;
-    S1 = pSrc16[(i2 * 2u) + 1u] >> 2u;
-
-    /* R0 = (ya + yc) */
-    R0 = __SSAT(T0 + S0, 16u);
-    /* R1 = (xa + xc) */
-    R1 = __SSAT(T1 + S1, 16u);
-
-    /* S0 = (ya - yc) */
-    S0 = __SSAT(T0 - S0, 16);
-    /* S1 = (xa - xc) */
-    S1 = __SSAT(T1 - S1, 16);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* input is down scale by 4 to avoid overflow */
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u] >> 2u;
-    T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
-
-    /* input is down scale by 4 to avoid overflow */
-    /* Read yd (real), xd(imag) input */
-    U0 = pSrc16[i3 * 2u] >> 2u;
-    U1 = pSrc16[(i3 * 2u) + 1] >> 2u;
-
-    /* T0 = (yb + yd) */
-    T0 = __SSAT(T0 + U0, 16u);
-    /* T1 = (xb + xd) */
-    T1 = __SSAT(T1 + U1, 16u);
-
-    /*  writing the butterfly processed i0 sample */
-    /* ya' = ya + yb + yc + yd */
-    /* xa' = xa + xb + xc + xd */
-    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
-    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
-
-    /* R0 = (ya + yc) - (yb + yd) */
-    /* R1 = (xa + xc) - (xb + xd) */
-    R0 = __SSAT(R0 - T0, 16u);
-    R1 = __SSAT(R1 - T1, 16u);
-
-    /* co2 & si2 are read from Coefficient pointer */
-    Co2 = pCoef16[2u * ic * 2u];
-    Si2 = pCoef16[(2u * ic * 2u) + 1];
-
-    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16u);
-    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16u);
-
-    /*  Reading i0+fftLen/4 */
-    /* input is down scale by 4 to avoid overflow */
-    /* T0 = yb, T1 =  xb */
-    T0 = pSrc16[i1 * 2u] >> 2;
-    T1 = pSrc16[(i1 * 2u) + 1] >> 2;
-
-    /* writing the butterfly processed i0 + fftLen/4 sample */
-    /* writing output(xc', yc') in little endian format */
-    pSrc16[i1 * 2u] = out1;
-    pSrc16[(i1 * 2u) + 1] = out2;
-
-    /*  Butterfly calculations */
-    /* input is down scale by 4 to avoid overflow */
-    /* U0 = yd, U1 = xd */
-    U0 = pSrc16[i3 * 2u] >> 2;
-    U1 = pSrc16[(i3 * 2u) + 1] >> 2;
-    /* T0 = yb-yd */
-    T0 = __SSAT(T0 - U0, 16);
-    /* T1 = xb-xd */
-    T1 = __SSAT(T1 - U1, 16);
-
-    /* R1 = (ya-yc) + (xb- xd),  R0 = (xa-xc) - (yb-yd)) */
-    R0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
-    R1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
-
-    /* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */
-    S0 = (q15_t) __SSAT(((q31_t) S0 + T1), 16u);
-    S1 = (q15_t) __SSAT(((q31_t) S1 - T0), 16u);
-
-    /* co1 & si1 are read from Coefficient pointer */
-    Co1 = pCoef16[ic * 2u];
-    Si1 = pCoef16[(ic * 2u) + 1];
-    /*  Butterfly process for the i0+fftLen/2 sample */
-    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out1 = (q15_t) ((Si1 * S1 + Co1 * S0) >> 16);
-    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16);
-
-    /* writing output(xb', yb') in little endian format */
-    pSrc16[i2 * 2u] = out1;
-    pSrc16[(i2 * 2u) + 1] = out2;
-
-    /* Co3 & si3 are read from Coefficient pointer */
-    Co3 = pCoef16[3u * (ic * 2u)];
-    Si3 = pCoef16[(3u * (ic * 2u)) + 1];
-    /*  Butterfly process for the i0+3fftLen/4 sample */
-    /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
-    out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16u);
-    /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
-    out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16u);
-    /* writing output(xd', yd') in little endian format */
-    pSrc16[i3 * 2u] = out1;
-    pSrc16[(i3 * 2u) + 1] = out2;
-
-    /*  Twiddle coefficients index modifier */
-    ic = ic + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-  /* data is in 4.11(q11) format */
-
-  /* end of first stage process */
-
-
-  /* start of middle stage process */
-
-  /*  Twiddle coefficients index modifier */
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of Middle stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the middle stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ic = 0u;
-
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      Co1 = pCoef16[ic * 2u];
-      Si1 = pCoef16[(ic * 2u) + 1u];
-      Co2 = pCoef16[2u * (ic * 2u)];
-      Si2 = pCoef16[(2u * (ic * 2u)) + 1u];
-      Co3 = pCoef16[3u * (ic * 2u)];
-      Si3 = pCoef16[(3u * (ic * 2u)) + 1u];
-
-      /*  Twiddle coefficients index modifier */
-      ic = ic + twidCoefModifier;
-
-      /*  Butterfly implementation */
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /*  Reading i0, i0+fftLen/2 inputs */
-        /* Read ya (real), xa(imag) input */
-        T0 = pSrc16[i0 * 2u];
-        T1 = pSrc16[(i0 * 2u) + 1u];
-
-        /* Read yc (real), xc(imag) input */
-        S0 = pSrc16[i2 * 2u];
-        S1 = pSrc16[(i2 * 2u) + 1u];
-
-        /* R0 = (ya + yc), R1 = (xa + xc) */
-        R0 = __SSAT(T0 + S0, 16);
-        R1 = __SSAT(T1 + S1, 16);
-
-        /* S0 = (ya - yc), S1 =(xa - xc) */
-        S0 = __SSAT(T0 - S0, 16);
-        S1 = __SSAT(T1 - S1, 16);
-
-        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-        /* Read yb (real), xb(imag) input */
-        T0 = pSrc16[i1 * 2u];
-        T1 = pSrc16[(i1 * 2u) + 1u];
-
-        /* Read yd (real), xd(imag) input */
-        U0 = pSrc16[i3 * 2u];
-        U1 = pSrc16[(i3 * 2u) + 1u];
-
-
-        /* T0 = (yb + yd), T1 = (xb + xd) */
-        T0 = __SSAT(T0 + U0, 16);
-        T1 = __SSAT(T1 + U1, 16);
-
-        /*  writing the butterfly processed i0 sample */
-
-        /* xa' = xa + xb + xc + xd */
-        /* ya' = ya + yb + yc + yd */
-        out1 = ((R0 >> 1u) + (T0 >> 1u)) >> 1u;
-        out2 = ((R1 >> 1u) + (T1 >> 1u)) >> 1u;
-
-        pSrc16[i0 * 2u] = out1;
-        pSrc16[(2u * i0) + 1u] = out2;
-
-        /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
-        R0 = (R0 >> 1u) - (T0 >> 1u);
-        R1 = (R1 >> 1u) - (T1 >> 1u);
-
-        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16u);
-
-        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16u);
-
-        /*  Reading i0+3fftLen/4 */
-        /* Read yb (real), xb(imag) input */
-        T0 = pSrc16[i1 * 2u];
-        T1 = pSrc16[(i1 * 2u) + 1u];
-
-        /*  writing the butterfly processed i0 + fftLen/4 sample */
-        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        pSrc16[i1 * 2u] = out1;
-        pSrc16[(i1 * 2u) + 1u] = out2;
-
-        /*  Butterfly calculations */
-
-        /* Read yd (real), xd(imag) input */
-        U0 = pSrc16[i3 * 2u];
-        U1 = pSrc16[(i3 * 2u) + 1u];
-
-        /* T0 = yb-yd, T1 = xb-xd */
-        T0 = __SSAT(T0 - U0, 16);
-        T1 = __SSAT(T1 - U1, 16);
-
-        /* R0 = (ya-yc) + (xb- xd), R1 = (xa-xc) - (yb-yd)) */
-        R0 = (S0 >> 1u) - (T1 >> 1u);
-        R1 = (S1 >> 1u) + (T0 >> 1u);
-
-        /* S0 = (ya-yc) - (xb- xd), S1 = (xa-xc) + (yb-yd)) */
-        S0 = (S0 >> 1u) + (T1 >> 1u);
-        S1 = (S1 >> 1u) - (T0 >> 1u);
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = (q15_t) ((Co1 * S0 + Si1 * S1) >> 16u);
-
-        out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16u);
-
-        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-        pSrc16[i2 * 2u] = out1;
-        pSrc16[(i2 * 2u) + 1u] = out2;
-
-        /*  Butterfly process for the i0+3fftLen/4 sample */
-        out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16u);
-
-        out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16u);
-        /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
-        /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
-        pSrc16[i3 * 2u] = out1;
-        pSrc16[(i3 * 2u) + 1u] = out2;
-      }
-    }
-    /*  Twiddle coefficients index modifier */
-    twidCoefModifier <<= 2u;
-  }
-  /* end of middle stage process */
-
-
-  /* data is in 10.6(q6) format for the 1024 point */
-  /* data is in 8.8(q8) format for the 256 point */
-  /* data is in 6.10(q10) format for the 64 point */
-  /* data is in 4.12(q12) format for the 16 point */
-
-  /*  Initializations for the last stage */
-  n1 = n2;
-  n2 >>= 2u;
-
-  /* start of last stage process */
-
-  /*  Butterfly implementation */
-  for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
-  {
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-    /* Read ya (real), xa(imag) input */
-    T0 = pSrc16[i0 * 2u];
-    T1 = pSrc16[(i0 * 2u) + 1u];
-
-    /* Read yc (real), xc(imag) input */
-    S0 = pSrc16[i2 * 2u];
-    S1 = pSrc16[(i2 * 2u) + 1u];
-
-    /* R0 = (ya + yc), R1 = (xa + xc) */
-    R0 = __SSAT(T0 + S0, 16u);
-    R1 = __SSAT(T1 + S1, 16u);
-
-    /* S0 = (ya - yc), S1 = (xa - xc) */
-    S0 = __SSAT(T0 - S0, 16u);
-    S1 = __SSAT(T1 - S1, 16u);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u];
-    T1 = pSrc16[(i1 * 2u) + 1u];
-    /* Read yd (real), xd(imag) input */
-    U0 = pSrc16[i3 * 2u];
-    U1 = pSrc16[(i3 * 2u) + 1u];
-
-    /* T0 = (yb + yd), T1 = (xb + xd)) */
-    T0 = __SSAT(T0 + U0, 16u);
-    T1 = __SSAT(T1 + U1, 16u);
-
-    /*  writing the butterfly processed i0 sample */
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
-    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
-
-    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
-    R0 = (R0 >> 1u) - (T0 >> 1u);
-    R1 = (R1 >> 1u) - (T1 >> 1u);
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u];
-    T1 = pSrc16[(i1 * 2u) + 1u];
-
-    /*  writing the butterfly processed i0 + fftLen/4 sample */
-    /* xc' = (xa-xb+xc-xd) */
-    /* yc' = (ya-yb+yc-yd) */
-    pSrc16[i1 * 2u] = R0;
-    pSrc16[(i1 * 2u) + 1u] = R1;
-
-    /* Read yd (real), xd(imag) input */
-    U0 = pSrc16[i3 * 2u];
-    U1 = pSrc16[(i3 * 2u) + 1u];
-    /* T0 = (yb - yd), T1 = (xb - xd)  */
-    T0 = __SSAT(T0 - U0, 16u);
-    T1 = __SSAT(T1 - U1, 16u);
-
-    /*  writing the butterfly processed i0 + fftLen/2 sample */
-    /* xb' = (xa+yb-xc-yd) */
-    /* yb' = (ya-xb-yc+xd) */
-    pSrc16[i2 * 2u] = (S0 >> 1u) + (T1 >> 1u);
-    pSrc16[(i2 * 2u) + 1u] = (S1 >> 1u) - (T0 >> 1u);
-
-    /*  writing the butterfly processed i0 + 3fftLen/4 sample */
-    /* xd' = (xa-yb-xc+yd) */
-    /* yd' = (ya+xb-yc-xd) */
-    pSrc16[i3 * 2u] = (S0 >> 1u) - (T1 >> 1u);
-    pSrc16[(i3 * 2u) + 1u] = (S1 >> 1u) + (T0 >> 1u);
-
-  }
-
-  /* end of last stage process */
-
-  /* output is in 11.5(q5) format for the 1024 point */
-  /* output is in 9.7(q7) format for the 256 point   */
-  /* output is in 7.9(q9) format for the 64 point  */
-  /* output is in 5.11(q11) format for the 16 point  */
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-
-/**    
- * @brief  Core function for the Q15 CIFFT butterfly process.   
- * @param[in, out] *pSrc16          points to the in-place buffer of Q15 data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef16         points to twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.   
- */
-
-/*    
-* Radix-4 IFFT algorithm used is :    
-*    
-* CIFFT uses same twiddle coefficients as CFFT function    
-*  x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]    
-*    
-*    
-* IFFT is implemented with following changes in equations from FFT    
-*    
-* Input real and imaginary data:    
-* x(n) = xa + j * ya    
-* x(n+N/4 ) = xb + j * yb    
-* x(n+N/2 ) = xc + j * yc    
-* x(n+3N 4) = xd + j * yd    
-*    
-*    
-* Output real and imaginary data:    
-* x(4r) = xa'+ j * ya'    
-* x(4r+1) = xb'+ j * yb'    
-* x(4r+2) = xc'+ j * yc'    
-* x(4r+3) = xd'+ j * yd'    
-*    
-*    
-* Twiddle factors for radix-4 IFFT:    
-* Wn = co1 + j * (si1)    
-* W2n = co2 + j * (si2)    
-* W3n = co3 + j * (si3)    
-    
-* The real and imaginary output values for the radix-4 butterfly are    
-* xa' = xa + xb + xc + xd    
-* ya' = ya + yb + yc + yd    
-* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)    
-* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)    
-* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)    
-* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)    
-* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)    
-* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)    
-*    
-*/
-
-void arm_radix4_butterfly_inverse_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  q15_t * pCoef16,
-  uint32_t twidCoefModifier)
-{
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t R, S, T, U;
-  q31_t C1, C2, C3, out1, out2;
-  uint32_t n1, n2, ic, i0, j, k;
-
-  q15_t *ptr1;
-  q15_t *pSi0;
-  q15_t *pSi1;
-  q15_t *pSi2;
-  q15_t *pSi3;
-
-  q31_t xaya, xbyb, xcyc, xdyd;
-
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-
-  /* Index for twiddle coefficient */
-  ic = 0u;
-
-  /* Index for input read and output write */
-  j = n2;
-  
-  pSi0 = pSrc16;
-  pSi1 = pSi0 + 2 * n2;
-  pSi2 = pSi1 + 2 * n2;
-  pSi3 = pSi2 + 2 * n2;
-
-  /* Input is in 1.15(q15) format */
-
-  /*  start of first stage process */
-  do
-  {
-    /*  Butterfly implementation */
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-    /* Read ya (real), xa(imag) input */
-    T = _SIMD32_OFFSET(pSi0);
-    T = __SHADD16(T, 0);
-    T = __SHADD16(T, 0);
-
-    /* Read yc (real), xc(imag) input */
-    S = _SIMD32_OFFSET(pSi2);
-    S = __SHADD16(S, 0);
-    S = __SHADD16(S, 0);
-
-    /* R = packed((ya + yc), (xa + xc) ) */
-    R = __QADD16(T, S);
-
-    /* S = packed((ya - yc), (xa - xc) ) */
-    S = __QSUB16(T, S);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* Read yb (real), xb(imag) input */
-    T = _SIMD32_OFFSET(pSi1);
-    T = __SHADD16(T, 0);
-    T = __SHADD16(T, 0);
-
-    /* Read yd (real), xd(imag) input */
-    U = _SIMD32_OFFSET(pSi3);
-    U = __SHADD16(U, 0);
-    U = __SHADD16(U, 0);
-
-    /* T = packed((yb + yd), (xb + xd) ) */
-    T = __QADD16(T, U);
-
-    /*  writing the butterfly processed i0 sample */
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    _SIMD32_OFFSET(pSi0) = __SHADD16(R, T);
-    pSi0 += 2;
-
-    /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
-    R = __QSUB16(R, T);
-
-    /* co2 & si2 are read from SIMD Coefficient pointer */
-    C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out1 = __SMUSD(C2, R) >> 16u;
-    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out2 = __SMUADX(C2, R);
-
-#else
-
-    /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out1 = __SMUADX(C2, R) >> 16u;
-    /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out2 = __SMUSD(__QSUB16(0, C2), R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /*  Reading i0+fftLen/4 */
-    /* T = packed(yb, xb) */
-    T = _SIMD32_OFFSET(pSi1);
-    T = __SHADD16(T, 0);
-    T = __SHADD16(T, 0);
-
-    /* writing the butterfly processed i0 + fftLen/4 sample */
-    /* writing output(xc', yc') in little endian format */
-    _SIMD32_OFFSET(pSi1) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-    pSi1 += 2;
-
-    /*  Butterfly calculations */
-    /* U = packed(yd, xd) */
-    U = _SIMD32_OFFSET(pSi3);
-    U = __SHADD16(U, 0);
-    U = __SHADD16(U, 0);
-
-    /* T = packed(yb-yd, xb-xd) */
-    T = __QSUB16(T, U);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-    R = __QSAX(S, T);
-    /* S = packed((ya-yc) + (xb- xd),  (xa-xc) - (yb-yd)) */
-    S = __QASX(S, T);
-
-#else
-
-    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-    R = __QASX(S, T);
-    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-    S = __QSAX(S, T);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* co1 & si1 are read from SIMD Coefficient pointer */
-    C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
-    /*  Butterfly process for the i0+fftLen/2 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out1 = __SMUSD(C1, S) >> 16u;
-    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out2 = __SMUADX(C1, S);
-
-#else
-
-    /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out1 = __SMUADX(C1, S) >> 16u;
-    /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out2 = __SMUSD(__QSUB16(0, C1), S);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* writing output(xb', yb') in little endian format */
-    _SIMD32_OFFSET(pSi2) =
-      ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF);
-    pSi2 += 2;
-
-
-    /* co3 & si3 are read from SIMD Coefficient pointer */
-    C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
-    /*  Butterfly process for the i0+3fftLen/4 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-    out1 = __SMUSD(C3, R) >> 16u;
-    /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-    out2 = __SMUADX(C3, R);
-
-#else
-
-    /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-    out1 = __SMUADX(C3, R) >> 16u;
-    /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-    out2 = __SMUSD(__QSUB16(0, C3), R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* writing output(xd', yd') in little endian format */
-    _SIMD32_OFFSET(pSi3) =
-      ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-    pSi3 += 2;
-
-    /*  Twiddle coefficients index modifier */
-    ic = ic + twidCoefModifier;
-
-  } while(--j);
-  /* data is in 4.11(q11) format */
-
-  /* end of first stage process */
-
-
-  /* start of middle stage process */
-
-  /*  Twiddle coefficients index modifier */
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of Middle stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the middle stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ic = 0u;
-
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
-      C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
-      C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
-
-      /*  Twiddle coefficients index modifier */
-      ic = ic + twidCoefModifier;
-      
-      pSi0 = pSrc16 + 2 * j;
-      pSi1 = pSi0 + 2 * n2;
-      pSi2 = pSi1 + 2 * n2;
-      pSi3 = pSi2 + 2 * n2;
-
-      /*  Butterfly implementation */
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  Reading i0, i0+fftLen/2 inputs */
-        /* Read ya (real), xa(imag) input */
-        T = _SIMD32_OFFSET(pSi0);
-
-        /* Read yc (real), xc(imag) input */
-        S = _SIMD32_OFFSET(pSi2);
-
-        /* R = packed( (ya + yc), (xa + xc)) */
-        R = __QADD16(T, S);
-
-        /* S = packed((ya - yc), (xa - xc)) */
-        S = __QSUB16(T, S);
-
-        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-        /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSi1);
-
-        /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSi3);
-
-        /* T = packed( (yb + yd), (xb + xd)) */
-        T = __QADD16(T, U);
-
-        /*  writing the butterfly processed i0 sample */
-
-        /* xa' = xa + xb + xc + xd */
-        /* ya' = ya + yb + yc + yd */
-        out1 = __SHADD16(R, T);
-        out1 = __SHADD16(out1, 0);
-        _SIMD32_OFFSET(pSi0) = out1;
-        pSi0 += 2 * n1;
-
-        /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
-        R = __SHSUB16(R, T);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out1 = __SMUSD(C2, R) >> 16u;
-
-        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out2 = __SMUADX(C2, R);
-
-#else
-
-        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out1 = __SMUADX(R, C2) >> 16u;
-
-        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out2 = __SMUSD(__QSUB16(0, C2), R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /*  Reading i0+3fftLen/4 */
-        /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSi1);
-
-        /*  writing the butterfly processed i0 + fftLen/4 sample */
-        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        _SIMD32_OFFSET(pSi1) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-        pSi1 += 2 * n1;
-
-        /*  Butterfly calculations */
-
-        /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSi3);
-
-        /* T = packed(yb-yd, xb-xd) */
-        T = __QSUB16(T, U);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-        R = __SHSAX(S, T);
-
-        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-        S = __SHASX(S, T);
-
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = __SMUSD(C1, S) >> 16u;
-        out2 = __SMUADX(C1, S);
-
-#else
-
-        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-        R = __SHASX(S, T);
-
-        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-        S = __SHSAX(S, T);
-
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = __SMUADX(S, C1) >> 16u;
-        out2 = __SMUSD(__QSUB16(0, C1), S);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-        _SIMD32_OFFSET(pSi2) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-        pSi2 += 2 * n1;
-
-        /*  Butterfly process for the i0+3fftLen/4 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUSD(C3, R) >> 16u;
-        out2 = __SMUADX(C3, R);
-
-#else
-
-        out1 = __SMUADX(C3, R) >> 16u;
-        out2 = __SMUSD(__QSUB16(0, C3), R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-        /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-        _SIMD32_OFFSET(pSi3) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-        pSi3 += 2 * n1;
-      }
-    }
-    /*  Twiddle coefficients index modifier */
-    twidCoefModifier <<= 2u;
-  }
-  /* end of middle stage process */
-
-  /* data is in 10.6(q6) format for the 1024 point */
-  /* data is in 8.8(q8) format for the 256 point */
-  /* data is in 6.10(q10) format for the 64 point */
-  /* data is in 4.12(q12) format for the 16 point */
-
-  /*  Initializations for the last stage */
-  j = fftLen >> 2;
-
-  ptr1 = &pSrc16[0];
-
-  /* start of last stage process */
-
-  /*  Butterfly implementation */
-  do
-  {
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD32(ptr1)++;
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD32(ptr1)++;
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD32(ptr1)++;
-
-    /* Read xd (real), yd(imag) input */
-    xdyd = *__SIMD32(ptr1)++;
-
-    /* R = packed((ya + yc), (xa + xc)) */
-    R = __QADD16(xaya, xcyc);
-
-    /* T = packed((yb + yd), (xb + xd)) */
-    T = __QADD16(xbyb, xdyd);
-
-    /* pointer updation for writing */
-    ptr1 = ptr1 - 8u;
-
-
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    *__SIMD32(ptr1)++ = __SHADD16(R, T);
-
-    /* T = packed((yb + yd), (xb + xd)) */
-    T = __QADD16(xbyb, xdyd);
-
-    /* xc' = (xa-xb+xc-xd) */
-    /* yc' = (ya-yb+yc-yd) */
-    *__SIMD32(ptr1)++ = __SHSUB16(R, T);
-
-    /* S = packed((ya - yc), (xa - xc)) */
-    S = __QSUB16(xaya, xcyc);
-
-    /* Read yd (real), xd(imag) input */
-    /* T = packed( (yb - yd), (xb - xd))  */
-    U = __QSUB16(xbyb, xdyd);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xb' = (xa+yb-xc-yd) */
-    /* yb' = (ya-xb-yc+xd) */
-    *__SIMD32(ptr1)++ = __SHASX(S, U);
-
-
-    /* xd' = (xa-yb-xc+yd) */
-    /* yd' = (ya+xb-yc-xd) */
-    *__SIMD32(ptr1)++ = __SHSAX(S, U);
-
-#else
-
-    /* xb' = (xa+yb-xc-yd) */
-    /* yb' = (ya-xb-yc+xd) */
-    *__SIMD32(ptr1)++ = __SHSAX(S, U);
-
-
-    /* xd' = (xa-yb-xc+yd) */
-    /* yd' = (ya+xb-yc-xd) */
-    *__SIMD32(ptr1)++ = __SHASX(S, U);
-
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-  } while(--j);
-
-  /* end of last stage  process */
-
-  /* output is in 11.5(q5) format for the 1024 point */
-  /* output is in 9.7(q7) format for the 256 point   */
-  /* output is in 7.9(q9) format for the 64 point  */
-  /* output is in 5.11(q11) format for the 16 point  */
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t R0, R1, S0, S1, T0, T1, U0, U1;
-  q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
-  uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
-
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-
-  /* Index for twiddle coefficient */
-  ic = 0u;
-
-  /* Index for input read and output write */
-  i0 = 0u;
-
-  j = n2;
-
-  /* Input is in 1.15(q15) format */
-
-  /*  Start of first stage process */
-  do
-  {
-    /*  Butterfly implementation */
-
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-    /* input is down scale by 4 to avoid overflow */
-    /* Read ya (real), xa(imag) input */
-    T0 = pSrc16[i0 * 2u] >> 2u;
-    T1 = pSrc16[(i0 * 2u) + 1u] >> 2u;
-    /* input is down scale by 4 to avoid overflow */
-    /* Read yc (real), xc(imag) input */
-    S0 = pSrc16[i2 * 2u] >> 2u;
-    S1 = pSrc16[(i2 * 2u) + 1u] >> 2u;
-
-    /* R0 = (ya + yc), R1 = (xa + xc) */
-    R0 = __SSAT(T0 + S0, 16u);
-    R1 = __SSAT(T1 + S1, 16u);
-    /* S0 = (ya - yc), S1 = (xa - xc) */
-    S0 = __SSAT(T0 - S0, 16u);
-    S1 = __SSAT(T1 - S1, 16u);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* input is down scale by 4 to avoid overflow */
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u] >> 2u;
-    T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
-    /* Read yd (real), xd(imag) input */
-    /* input is down scale by 4 to avoid overflow */
-    U0 = pSrc16[i3 * 2u] >> 2u;
-    U1 = pSrc16[(i3 * 2u) + 1u] >> 2u;
-
-    /* T0 = (yb + yd), T1 = (xb + xd) */
-    T0 = __SSAT(T0 + U0, 16u);
-    T1 = __SSAT(T1 + U1, 16u);
-
-    /*  writing the butterfly processed i0 sample */
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
-    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
-
-    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc)- (xb + xd) */
-    R0 = __SSAT(R0 - T0, 16u);
-    R1 = __SSAT(R1 - T1, 16u);
-    /* co2 & si2 are read from Coefficient pointer */
-    Co2 = pCoef16[2u * ic * 2u];
-    Si2 = pCoef16[(2u * ic * 2u) + 1u];
-    /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
-    out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16u);
-    /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
-    out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16u);
-
-    /*  Reading i0+fftLen/4 */
-    /* input is down scale by 4 to avoid overflow */
-    /* T0 = yb, T1 = xb */
-    T0 = pSrc16[i1 * 2u] >> 2u;
-    T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
-
-    /* writing the butterfly processed i0 + fftLen/4 sample */
-    /* writing output(xc', yc') in little endian format */
-    pSrc16[i1 * 2u] = out1;
-    pSrc16[(i1 * 2u) + 1u] = out2;
-
-    /*  Butterfly calculations */
-    /* input is down scale by 4 to avoid overflow */
-    /* U0 = yd, U1 = xd) */
-    U0 = pSrc16[i3 * 2u] >> 2u;
-    U1 = pSrc16[(i3 * 2u) + 1u] >> 2u;
-
-    /* T0 = yb-yd, T1 = xb-xd) */
-    T0 = __SSAT(T0 - U0, 16u);
-    T1 = __SSAT(T1 - U1, 16u);
-    /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
-    R0 = (q15_t) __SSAT((q31_t) (S0 + T1), 16);
-    R1 = (q15_t) __SSAT((q31_t) (S1 - T0), 16);
-    /* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
-    S0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
-    S1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
-
-    /* co1 & si1 are read from Coefficient pointer */
-    Co1 = pCoef16[ic * 2u];
-    Si1 = pCoef16[(ic * 2u) + 1u];
-    /*  Butterfly process for the i0+fftLen/2 sample */
-    /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
-    out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16u);
-    /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
-    out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16u);
-    /* writing output(xb', yb') in little endian format */
-    pSrc16[i2 * 2u] = out1;
-    pSrc16[(i2 * 2u) + 1u] = out2;
-
-    /* Co3 & si3 are read from Coefficient pointer */
-    Co3 = pCoef16[3u * ic * 2u];
-    Si3 = pCoef16[(3u * ic * 2u) + 1u];
-    /*  Butterfly process for the i0+3fftLen/4 sample */
-    /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
-    out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16u);
-    /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
-    out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16u);
-    /* writing output(xd', yd') in little endian format */
-    pSrc16[i3 * 2u] = out1;
-    pSrc16[(i3 * 2u) + 1u] = out2;
-
-    /*  Twiddle coefficients index modifier */
-    ic = ic + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-
-  /*  End of first stage process */
-
-  /* data is in 4.11(q11) format */
-
-
-  /*  Start of Middle stage process */
-
-  /*  Twiddle coefficients index modifier */
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of Middle stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the middle stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ic = 0u;
-
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      Co1 = pCoef16[ic * 2u];
-      Si1 = pCoef16[(ic * 2u) + 1u];
-      Co2 = pCoef16[2u * ic * 2u];
-      Si2 = pCoef16[2u * ic * 2u + 1u];
-      Co3 = pCoef16[3u * ic * 2u];
-      Si3 = pCoef16[(3u * ic * 2u) + 1u];
-
-      /*  Twiddle coefficients index modifier */
-      ic = ic + twidCoefModifier;
-
-      /*  Butterfly implementation */
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /*  Reading i0, i0+fftLen/2 inputs */
-        /* Read ya (real), xa(imag) input */
-        T0 = pSrc16[i0 * 2u];
-        T1 = pSrc16[(i0 * 2u) + 1u];
-
-        /* Read yc (real), xc(imag) input */
-        S0 = pSrc16[i2 * 2u];
-        S1 = pSrc16[(i2 * 2u) + 1u];
-
-
-        /* R0 = (ya + yc), R1 = (xa + xc) */
-        R0 = __SSAT(T0 + S0, 16u);
-        R1 = __SSAT(T1 + S1, 16u);
-        /* S0 = (ya - yc), S1 = (xa - xc) */
-        S0 = __SSAT(T0 - S0, 16u);
-        S1 = __SSAT(T1 - S1, 16u);
-
-        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-        /* Read yb (real), xb(imag) input */
-        T0 = pSrc16[i1 * 2u];
-        T1 = pSrc16[(i1 * 2u) + 1u];
-
-        /* Read yd (real), xd(imag) input */
-        U0 = pSrc16[i3 * 2u];
-        U1 = pSrc16[(i3 * 2u) + 1u];
-
-        /* T0 = (yb + yd), T1 = (xb + xd) */
-        T0 = __SSAT(T0 + U0, 16u);
-        T1 = __SSAT(T1 + U1, 16u);
-
-        /*  writing the butterfly processed i0 sample */
-        /* xa' = xa + xb + xc + xd */
-        /* ya' = ya + yb + yc + yd */
-        pSrc16[i0 * 2u] = ((R0 >> 1u) + (T0 >> 1u)) >> 1u;
-        pSrc16[(i0 * 2u) + 1u] = ((R1 >> 1u) + (T1 >> 1u)) >> 1u;
-
-        /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
-        R0 = (R0 >> 1u) - (T0 >> 1u);
-        R1 = (R1 >> 1u) - (T1 >> 1u);
-
-        /* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */
-        out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16);
-        /* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
-        out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16);
-
-        /*  Reading i0+3fftLen/4 */
-        /* Read yb (real), xb(imag) input */
-        T0 = pSrc16[i1 * 2u];
-        T1 = pSrc16[(i1 * 2u) + 1u];
-
-        /*  writing the butterfly processed i0 + fftLen/4 sample */
-        /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
-        /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
-        pSrc16[i1 * 2u] = out1;
-        pSrc16[(i1 * 2u) + 1u] = out2;
-
-        /*  Butterfly calculations */
-        /* Read yd (real), xd(imag) input */
-        U0 = pSrc16[i3 * 2u];
-        U1 = pSrc16[(i3 * 2u) + 1u];
-
-        /* T0 = yb-yd, T1 = xb-xd) */
-        T0 = __SSAT(T0 - U0, 16u);
-        T1 = __SSAT(T1 - U1, 16u);
-
-        /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
-        R0 = (S0 >> 1u) + (T1 >> 1u);
-        R1 = (S1 >> 1u) - (T0 >> 1u);
-
-        /* S1 = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
-        S0 = (S0 >> 1u) - (T1 >> 1u);
-        S1 = (S1 >> 1u) + (T0 >> 1u);
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16u);
-        out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16u);
-        /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
-        /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
-        pSrc16[i2 * 2u] = out1;
-        pSrc16[(i2 * 2u) + 1u] = out2;
-
-        /*  Butterfly process for the i0+3fftLen/4 sample */
-        out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16u);
-
-        out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16u);
-        /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
-        /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
-        pSrc16[i3 * 2u] = out1;
-        pSrc16[(i3 * 2u) + 1u] = out2;
-
-
-      }
-    }
-    /*  Twiddle coefficients index modifier */
-    twidCoefModifier <<= 2u;
-  }
-  /*  End of Middle stages process */
-
-
-  /* data is in 10.6(q6) format for the 1024 point */
-  /* data is in 8.8(q8) format for the 256 point   */
-  /* data is in 6.10(q10) format for the 64 point  */
-  /* data is in 4.12(q12) format for the 16 point  */
-
-  /* start of last stage process */
-
-
-  /*  Initializations for the last stage */
-  n1 = n2;
-  n2 >>= 2u;
-
-  /*  Butterfly implementation */
-  for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
-  {
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-    /* Read ya (real), xa(imag) input */
-    T0 = pSrc16[i0 * 2u];
-    T1 = pSrc16[(i0 * 2u) + 1u];
-    /* Read yc (real), xc(imag) input */
-    S0 = pSrc16[i2 * 2u];
-    S1 = pSrc16[(i2 * 2u) + 1u];
-
-    /* R0 = (ya + yc), R1 = (xa + xc) */
-    R0 = __SSAT(T0 + S0, 16u);
-    R1 = __SSAT(T1 + S1, 16u);
-    /* S0 = (ya - yc), S1 = (xa - xc) */
-    S0 = __SSAT(T0 - S0, 16u);
-    S1 = __SSAT(T1 - S1, 16u);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u];
-    T1 = pSrc16[(i1 * 2u) + 1u];
-    /* Read yd (real), xd(imag) input */
-    U0 = pSrc16[i3 * 2u];
-    U1 = pSrc16[(i3 * 2u) + 1u];
-
-    /* T0 = (yb + yd), T1 = (xb + xd) */
-    T0 = __SSAT(T0 + U0, 16u);
-    T1 = __SSAT(T1 + U1, 16u);
-
-    /*  writing the butterfly processed i0 sample */
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
-    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
-
-    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
-    R0 = (R0 >> 1u) - (T0 >> 1u);
-    R1 = (R1 >> 1u) - (T1 >> 1u);
-
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u];
-    T1 = pSrc16[(i1 * 2u) + 1u];
-
-    /*  writing the butterfly processed i0 + fftLen/4 sample */
-    /* xc' = (xa-xb+xc-xd) */
-    /* yc' = (ya-yb+yc-yd) */
-    pSrc16[i1 * 2u] = R0;
-    pSrc16[(i1 * 2u) + 1u] = R1;
-
-    /* Read yd (real), xd(imag) input */
-    U0 = pSrc16[i3 * 2u];
-    U1 = pSrc16[(i3 * 2u) + 1u];
-    /* T0 = (yb - yd), T1 = (xb - xd) */
-    T0 = __SSAT(T0 - U0, 16u);
-    T1 = __SSAT(T1 - U1, 16u);
-
-    /*  writing the butterfly processed i0 + fftLen/2 sample */
-    /* xb' = (xa-yb-xc+yd) */
-    /* yb' = (ya+xb-yc-xd) */
-    pSrc16[i2 * 2u] = (S0 >> 1u) - (T1 >> 1u);
-    pSrc16[(i2 * 2u) + 1u] = (S1 >> 1u) + (T0 >> 1u);
-
-
-    /*  writing the butterfly processed i0 + 3fftLen/4 sample */
-    /* xd' = (xa+yb-xc-yd) */
-    /* yd' = (ya-xb-yc+xd) */
-    pSrc16[i3 * 2u] = (S0 >> 1u) + (T1 >> 1u);
-    pSrc16[(i3 * 2u) + 1u] = (S1 >> 1u) - (T0 >> 1u);
-  }
-  /* end of last stage  process */
-
-  /* output is in 11.5(q5) format for the 1024 point */
-  /* output is in 9.7(q7) format for the 256 point   */
-  /* output is in 7.9(q9) format for the 64 point  */
-  /* output is in 5.11(q11) format for the 16 point  */
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q31.c
deleted file mode 100644
index 0fbb40b6..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q31.c
+++ /dev/null
@@ -1,1404 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_q31.c    
-*    
-* Description:	This file has function definition of Radix-4 FFT & IFFT function and    
-*				In-place bit reversal using bit reversal table    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-void arm_radix4_butterfly_inverse_q31(
-q31_t * pSrc,
-uint32_t fftLen,
-q31_t * pCoef,
-uint32_t twidCoefModifier);
-
-void arm_radix4_butterfly_q31(
-q31_t * pSrc,
-uint32_t fftLen,
-q31_t * pCoef,
-uint32_t twidCoefModifier);
-
-void arm_bitreversal_q31(
-q31_t * pSrc,
-uint32_t fftLen,
-uint16_t bitRevFactor,
-uint16_t * pBitRevTab);
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup ComplexFFT    
- * @{    
- */
-
-/**    
- * @details    
- * @brief Processing function for the Q31 CFFT/CIFFT.    
- * @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
- * @param[in]      *S    points to an instance of the Q31 CFFT/CIFFT structure.   
- * @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place.   
- * @return none.    
- *     
- * \par Input and output formats:    
- * \par    
- * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
- * Hence the output format is different for different FFT sizes.    
- * The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:   
- * \par   
- * \image html CFFTQ31.gif "Input and Output Formats for Q31 CFFT"    
- * \image html CIFFTQ31.gif "Input and Output Formats for Q31 CIFFT"    
- *    
- */
-
-void arm_cfft_radix4_q31(
-  const arm_cfft_radix4_instance_q31 * S,
-  q31_t * pSrc)
-{
-  if(S->ifftFlag == 1u)
-  {
-    /* Complex IFFT radix-4 */
-    arm_radix4_butterfly_inverse_q31(pSrc, S->fftLen, S->pTwiddle,
-                                     S->twidCoefModifier);
-  }
-  else
-  {
-    /* Complex FFT radix-4 */
-    arm_radix4_butterfly_q31(pSrc, S->fftLen, S->pTwiddle,
-                             S->twidCoefModifier);
-  }
-
-
-  if(S->bitReverseFlag == 1u)
-  {
-    /*  Bit Reversal */
-    arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-  }
-
-}
-
-/**    
- * @} end of ComplexFFT group    
- */
-
-/*    
-* Radix-4 FFT algorithm used is :    
-*    
-* Input real and imaginary data:    
-* x(n) = xa + j * ya    
-* x(n+N/4 ) = xb + j * yb    
-* x(n+N/2 ) = xc + j * yc    
-* x(n+3N 4) = xd + j * yd    
-*    
-*    
-* Output real and imaginary data:    
-* x(4r) = xa'+ j * ya'    
-* x(4r+1) = xb'+ j * yb'    
-* x(4r+2) = xc'+ j * yc'    
-* x(4r+3) = xd'+ j * yd'    
-*    
-*    
-* Twiddle factors for radix-4 FFT:    
-* Wn = co1 + j * (- si1)    
-* W2n = co2 + j * (- si2)    
-* W3n = co3 + j * (- si3)    
-*    
-*  Butterfly implementation:    
-* xa' = xa + xb + xc + xd    
-* ya' = ya + yb + yc + yd    
-* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)    
-* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)    
-* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)    
-* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)    
-* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)    
-* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)    
-*    
-*/
-
-/**    
- * @brief  Core function for the Q31 CFFT butterfly process.   
- * @param[in, out] *pSrc            points to the in-place buffer of Q31 data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef           points to twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.   
- */
-
-void arm_radix4_butterfly_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint32_t twidCoefModifier)
-{
-#if defined(ARM_MATH_CM7)
-  uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
-  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
-
-  q31_t xa, xb, xc, xd;
-  q31_t ya, yb, yc, yd;
-  q31_t xa_out, xb_out, xc_out, xd_out;
-  q31_t ya_out, yb_out, yc_out, yd_out;
-
-  q31_t *ptr1;
-  q63_t xaya, xbyb, xcyc, xdyd;
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-
-  /* start of first stage process */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-  i0 = 0u;
-  ia1 = 0u;
-
-  j = n2;
-
-  /*  Calculation of first stage */
-  do
-  {
-    /*  index calculation for the input as, */
-    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
-
-    /*  Butterfly implementation */
-    /* xa + xc */
-    r1 = (pSrc[(2u * i0)] >> 4u) + (pSrc[(2u * i2)] >> 4u);
-    /* xa - xc */
-    r2 = (pSrc[2u * i0] >> 4u) - (pSrc[2u * i2] >> 4u);
-
-    /* xb + xd */
-    t1 = (pSrc[2u * i1] >> 4u) + (pSrc[2u * i3] >> 4u);
-
-    /* ya + yc */
-    s1 = (pSrc[(2u * i0) + 1u] >> 4u) + (pSrc[(2u * i2) + 1u] >> 4u);
-    /* ya - yc */
-    s2 = (pSrc[(2u * i0) + 1u] >> 4u) - (pSrc[(2u * i2) + 1u] >> 4u);
-
-    /* xa' = xa + xb + xc + xd */
-    pSrc[2u * i0] = (r1 + t1);
-    /* (xa + xc) - (xb + xd) */
-    r1 = r1 - t1;
-    /* yb + yd */
-    t2 = (pSrc[(2u * i1) + 1u] >> 4u) + (pSrc[(2u * i3) + 1u] >> 4u);
-
-    /* ya' = ya + yb + yc + yd */
-    pSrc[(2u * i0) + 1u] = (s1 + t2);
-
-    /* (ya + yc) - (yb + yd) */
-    s1 = s1 - t2;
-
-    /* yb - yd */
-    t1 = (pSrc[(2u * i1) + 1u] >> 4u) - (pSrc[(2u * i3) + 1u] >> 4u);
-    /* xb - xd */
-    t2 = (pSrc[2u * i1] >> 4u) - (pSrc[2u * i3] >> 4u);
-
-    /*  index calculation for the coefficients */
-    ia2 = 2u * ia1;
-    co2 = pCoef[ia2 * 2u];
-    si2 = pCoef[(ia2 * 2u) + 1u];
-
-    /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-    pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
-                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
-
-    /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-    pSrc[(2u * i1) + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
-                            ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
-
-    /* (xa - xc) + (yb - yd) */
-    r1 = r2 + t1;
-    /* (xa - xc) - (yb - yd) */
-    r2 = r2 - t1;
-
-    /* (ya - yc) - (xb - xd) */
-    s1 = s2 - t2;
-    /* (ya - yc) + (xb - xd) */
-    s2 = s2 + t2;
-
-    co1 = pCoef[ia1 * 2u];
-    si1 = pCoef[(ia1 * 2u) + 1u];
-
-    /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-    pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
-                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
-
-    /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-    pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
-                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
-
-    /*  index calculation for the coefficients */
-    ia3 = 3u * ia1;
-    co3 = pCoef[ia3 * 2u];
-    si3 = pCoef[(ia3 * 2u) + 1u];
-
-    /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-    pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
-                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
-
-    /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-    pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
-                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
-
-    /*  Twiddle coefficients index modifier */
-    ia1 = ia1 + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-
-  /* end of first stage process */
-
-  /* data is in 5.27(q27) format */
-
-
-  /* start of Middle stages process */
-
-
-  /* each stage in middle stages provides two down scaling of the input */
-
-  twidCoefModifier <<= 2u;
-
-
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the first stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ia1 = 0u;
-
-    /*  Calculation of first stage */
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      ia3 = ia2 + ia1;
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /*  Butterfly implementation */
-        /* xa + xc */
-        r1 = pSrc[2u * i0] + pSrc[2u * i2];
-        /* xa - xc */
-        r2 = pSrc[2u * i0] - pSrc[2u * i2];
-
-        /* ya + yc */
-        s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
-        /* ya - yc */
-        s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
-
-        /* xb + xd */
-        t1 = pSrc[2u * i1] + pSrc[2u * i3];
-
-        /* xa' = xa + xb + xc + xd */
-        pSrc[2u * i0] = (r1 + t1) >> 2u;
-        /* xa + xc -(xb + xd) */
-        r1 = r1 - t1;
-
-        /* yb + yd */
-        t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
-        /* ya' = ya + yb + yc + yd */
-        pSrc[(2u * i0) + 1u] = (s1 + t2) >> 2u;
-
-        /* (ya + yc) - (yb + yd) */
-        s1 = s1 - t2;
-
-        /* (yb - yd) */
-        t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
-        /* (xb - xd) */
-        t2 = pSrc[2u * i1] - pSrc[2u * i3];
-
-        /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-        pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
-                         ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1u;
-
-        /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-        pSrc[(2u * i1) + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
-                                ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1u;
-
-        /* (xa - xc) + (yb - yd) */
-        r1 = r2 + t1;
-        /* (xa - xc) - (yb - yd) */
-        r2 = r2 - t1;
-
-        /* (ya - yc) -  (xb - xd) */
-        s1 = s2 - t2;
-        /* (ya - yc) +  (xb - xd) */
-        s2 = s2 + t2;
-
-        /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-        pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
-                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
-
-        /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-        pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
-                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
-
-        /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-        pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
-                         ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
-
-        /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-        pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
-                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
-      }
-    }
-    twidCoefModifier <<= 2u;
-  }
-#else
-  uint32_t n1, n2, ia1, ia2, ia3, i0, j, k;
-  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
-
-  q31_t xa, xb, xc, xd;
-  q31_t ya, yb, yc, yd;
-  q31_t xa_out, xb_out, xc_out, xd_out;
-  q31_t ya_out, yb_out, yc_out, yd_out;
-
-  q31_t *ptr1;
-  q31_t *pSi0;
-  q31_t *pSi1;
-  q31_t *pSi2;
-  q31_t *pSi3;
-  q63_t xaya, xbyb, xcyc, xdyd;
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-
-  /* start of first stage process */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-
-  ia1 = 0u;
-
-  j = n2;
-  
-  pSi0 = pSrc;
-  pSi1 = pSi0 + 2 * n2;
-  pSi2 = pSi1 + 2 * n2;
-  pSi3 = pSi2 + 2 * n2;
-
-  /*  Calculation of first stage */
-  do
-  {
-    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
-
-    /*  Butterfly implementation */
-    /* xa + xc */
-    r1 = (pSi0[0] >> 4u) + (pSi2[0] >> 4u);
-    /* xa - xc */
-    r2 = (pSi0[0] >> 4u) - (pSi2[0] >> 4u);
-
-    /* xb + xd */
-    t1 = (pSi1[0] >> 4u) + (pSi3[0] >> 4u);
-
-    /* ya + yc */
-    s1 = (pSi0[1] >> 4u) + (pSi2[1] >> 4u);
-    /* ya - yc */
-    s2 = (pSi0[1] >> 4u) - (pSi2[1] >> 4u);
-
-    /* xa' = xa + xb + xc + xd */
-    *pSi0++ = (r1 + t1);
-    /* (xa + xc) - (xb + xd) */
-    r1 = r1 - t1;
-    /* yb + yd */
-    t2 = (pSi1[1] >> 4u) + (pSi3[1] >> 4u);
-
-    /* ya' = ya + yb + yc + yd */
-    *pSi0++ = (s1 + t2);
-
-    /* (ya + yc) - (yb + yd) */
-    s1 = s1 - t2;
-
-    /* yb - yd */
-    t1 = (pSi1[1] >> 4u) - (pSi3[1] >> 4u);
-    /* xb - xd */
-    t2 = (pSi1[0] >> 4u) - (pSi3[0] >> 4u);
-
-    /*  index calculation for the coefficients */
-    ia2 = 2u * ia1;
-    co2 = pCoef[ia2 * 2u];
-    si2 = pCoef[(ia2 * 2u) + 1u];
-
-    /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-    *pSi1++ = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
-                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
-
-    /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-    *pSi1++ = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
-                            ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
-
-    /* (xa - xc) + (yb - yd) */
-    r1 = r2 + t1;
-    /* (xa - xc) - (yb - yd) */
-    r2 = r2 - t1;
-
-    /* (ya - yc) - (xb - xd) */
-    s1 = s2 - t2;
-    /* (ya - yc) + (xb - xd) */
-    s2 = s2 + t2;
-
-    co1 = pCoef[ia1 * 2u];
-    si1 = pCoef[(ia1 * 2u) + 1u];
-
-    /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-    *pSi2++ = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
-                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
-
-    /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-    *pSi2++ = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
-                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
-
-    /*  index calculation for the coefficients */
-    ia3 = 3u * ia1;
-    co3 = pCoef[ia3 * 2u];
-    si3 = pCoef[(ia3 * 2u) + 1u];
-
-    /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-    *pSi3++ = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
-                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
-
-    /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-    *pSi3++ = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
-                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
-
-    /*  Twiddle coefficients index modifier */
-    ia1 = ia1 + twidCoefModifier;
-
-  } while(--j);
-
-  /* end of first stage process */
-
-  /* data is in 5.27(q27) format */
-
-
-  /* start of Middle stages process */
-
-
-  /* each stage in middle stages provides two down scaling of the input */
-
-  twidCoefModifier <<= 2u;
-
-
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the first stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ia1 = 0u;
-
-    /*  Calculation of first stage */
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      ia3 = ia2 + ia1;
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-      
-      pSi0 = pSrc + 2 * j;
-      pSi1 = pSi0 + 2 * n2;
-      pSi2 = pSi1 + 2 * n2;
-      pSi3 = pSi2 + 2 * n2;
-
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  Butterfly implementation */
-        /* xa + xc */
-        r1 = pSi0[0] + pSi2[0];
-
-        /* xa - xc */
-        r2 = pSi0[0] - pSi2[0];
-
-
-        /* ya + yc */
-        s1 = pSi0[1] + pSi2[1];
-
-        /* ya - yc */
-        s2 = pSi0[1] - pSi2[1];
-
-
-        /* xb + xd */
-        t1 = pSi1[0] + pSi3[0];
-
-
-        /* xa' = xa + xb + xc + xd */
-        pSi0[0] = (r1 + t1) >> 2u;
-        /* xa + xc -(xb + xd) */
-        r1 = r1 - t1;
-
-        /* yb + yd */
-        t2 = pSi1[1] + pSi3[1];
-
-        /* ya' = ya + yb + yc + yd */
-        pSi0[1] = (s1 + t2) >> 2u;
-        pSi0 += 2 * n1;
-
-        /* (ya + yc) - (yb + yd) */
-        s1 = s1 - t2;
-
-        /* (yb - yd) */
-        t1 = pSi1[1] - pSi3[1];
-
-        /* (xb - xd) */
-        t2 = pSi1[0] - pSi3[0];
-
-
-        /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-        pSi1[0] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
-                         ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1u;
-
-        /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-        pSi1[1] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
-                                ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1u;
-        pSi1 += 2 * n1;
-
-        /* (xa - xc) + (yb - yd) */
-        r1 = r2 + t1;
-        /* (xa - xc) - (yb - yd) */
-        r2 = r2 - t1;
-
-        /* (ya - yc) -  (xb - xd) */
-        s1 = s2 - t2;
-        /* (ya - yc) +  (xb - xd) */
-        s2 = s2 + t2;
-
-        /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-        pSi2[0] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
-                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
-
-        /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-        pSi2[1] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
-                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
-        pSi2 += 2 * n1;
-
-        /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-        pSi3[0] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
-                         ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
-
-        /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-        pSi3[1] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
-                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
-        pSi3 += 2 * n1;
-      }
-    }
-    twidCoefModifier <<= 2u;
-  }
-#endif
-
-  /* End of Middle stages process */
-
-  /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
-  /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
-  /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
-  /* data is in 5.27(q27) format for the 16 point as there are no middle stages */
-
-
-  /* start of Last stage process */
-  /*  Initializations for the last stage */
-  j = fftLen >> 2;
-  ptr1 = &pSrc[0];
-
-  /*  Calculations of last stage */
-  do
-  {
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD64(ptr1)++;
-    xa = (q31_t) xaya;
-    ya = (q31_t) (xaya >> 32);
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD64(ptr1)++;
-    xb = (q31_t) xbyb;
-    yb = (q31_t) (xbyb >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD64(ptr1)++;
-    xc = (q31_t) xcyc;
-    yc = (q31_t) (xcyc >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xdyd = *__SIMD64(ptr1)++;
-    xd = (q31_t) xdyd;
-    yd = (q31_t) (xdyd >> 32);
-
-#else
-
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD64(ptr1)++;
-    ya = (q31_t) xaya;
-    xa = (q31_t) (xaya >> 32);
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD64(ptr1)++;
-    yb = (q31_t) xbyb;
-    xb = (q31_t) (xbyb >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD64(ptr1)++;
-    yc = (q31_t) xcyc;
-    xc = (q31_t) (xcyc >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xdyd = *__SIMD64(ptr1)++;
-    yd = (q31_t) xdyd;
-    xd = (q31_t) (xdyd >> 32);
-
-
-#endif
-
-    /* xa' = xa + xb + xc + xd */
-    xa_out = xa + xb + xc + xd;
-
-    /* ya' = ya + yb + yc + yd */
-    ya_out = ya + yb + yc + yd;
-
-    /* pointer updation for writing */
-    ptr1 = ptr1 - 8u;
-
-    /* writing xa' and ya' */
-    *ptr1++ = xa_out;
-    *ptr1++ = ya_out;
-
-    xc_out = (xa - xb + xc - xd);
-    yc_out = (ya - yb + yc - yd);
-
-    /* writing xc' and yc' */
-    *ptr1++ = xc_out;
-    *ptr1++ = yc_out;
-
-    xb_out = (xa + yb - xc - yd);
-    yb_out = (ya - xb - yc + xd);
-
-    /* writing xb' and yb' */
-    *ptr1++ = xb_out;
-    *ptr1++ = yb_out;
-
-    xd_out = (xa - yb - xc + yd);
-    yd_out = (ya + xb - yc - xd);
-
-    /* writing xd' and yd' */
-    *ptr1++ = xd_out;
-    *ptr1++ = yd_out;
-
-
-  } while(--j);
-
-  /* output is in 11.21(q21) format for the 1024 point */
-  /* output is in 9.23(q23) format for the 256 point */
-  /* output is in 7.25(q25) format for the 64 point */
-  /* output is in 5.27(q27) format for the 16 point */
-
-  /* End of last stage process */
-
-}
-
-
-/**    
- * @brief  Core function for the Q31 CIFFT butterfly process.   
- * @param[in, out] *pSrc            points to the in-place buffer of Q31 data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef           points to twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.   
- */
-
-
-/*    
-* Radix-4 IFFT algorithm used is :    
-*    
-* CIFFT uses same twiddle coefficients as CFFT Function    
-*  x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]    
-*    
-*    
-* IFFT is implemented with following changes in equations from FFT    
-*    
-* Input real and imaginary data:    
-* x(n) = xa + j * ya    
-* x(n+N/4 ) = xb + j * yb    
-* x(n+N/2 ) = xc + j * yc    
-* x(n+3N 4) = xd + j * yd    
-*    
-*    
-* Output real and imaginary data:    
-* x(4r) = xa'+ j * ya'    
-* x(4r+1) = xb'+ j * yb'    
-* x(4r+2) = xc'+ j * yc'    
-* x(4r+3) = xd'+ j * yd'    
-*    
-*    
-* Twiddle factors for radix-4 IFFT:    
-* Wn = co1 + j * (si1)    
-* W2n = co2 + j * (si2)    
-* W3n = co3 + j * (si3)    
-    
-* The real and imaginary output values for the radix-4 butterfly are    
-* xa' = xa + xb + xc + xd    
-* ya' = ya + yb + yc + yd    
-* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)    
-* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)    
-* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)    
-* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)    
-* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)    
-* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)    
-*    
-*/
-
-void arm_radix4_butterfly_inverse_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint32_t twidCoefModifier)
-{
-#if defined(ARM_MATH_CM7)
-  uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
-  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
-  q31_t xa, xb, xc, xd;
-  q31_t ya, yb, yc, yd;
-  q31_t xa_out, xb_out, xc_out, xd_out;
-  q31_t ya_out, yb_out, yc_out, yd_out;
-
-  q31_t *ptr1;
-  q63_t xaya, xbyb, xcyc, xdyd;
-
-  /* input is be 1.31(q31) format for all FFT sizes */
-  /* Total process is divided into three stages */
-  /* process first stage, middle stages, & last stage */
-
-  /* Start of first stage process */
-
-  /* Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-  i0 = 0u;
-  ia1 = 0u;
-
-  j = n2;
-
-  do
-  {
-
-    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
-
-    /*  index calculation for the input as, */
-    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Butterfly implementation */
-    /* xa + xc */
-    r1 = (pSrc[2u * i0] >> 4u) + (pSrc[2u * i2] >> 4u);
-    /* xa - xc */
-    r2 = (pSrc[2u * i0] >> 4u) - (pSrc[2u * i2] >> 4u);
-
-    /* xb + xd */
-    t1 = (pSrc[2u * i1] >> 4u) + (pSrc[2u * i3] >> 4u);
-
-    /* ya + yc */
-    s1 = (pSrc[(2u * i0) + 1u] >> 4u) + (pSrc[(2u * i2) + 1u] >> 4u);
-    /* ya - yc */
-    s2 = (pSrc[(2u * i0) + 1u] >> 4u) - (pSrc[(2u * i2) + 1u] >> 4u);
-
-    /* xa' = xa + xb + xc + xd */
-    pSrc[2u * i0] = (r1 + t1);
-    /* (xa + xc) - (xb + xd) */
-    r1 = r1 - t1;
-    /* yb + yd */
-    t2 = (pSrc[(2u * i1) + 1u] >> 4u) + (pSrc[(2u * i3) + 1u] >> 4u);
-    /* ya' = ya + yb + yc + yd */
-    pSrc[(2u * i0) + 1u] = (s1 + t2);
-
-    /* (ya + yc) - (yb + yd) */
-    s1 = s1 - t2;
-
-    /* yb - yd */
-    t1 = (pSrc[(2u * i1) + 1u] >> 4u) - (pSrc[(2u * i3) + 1u] >> 4u);
-    /* xb - xd */
-    t2 = (pSrc[2u * i1] >> 4u) - (pSrc[2u * i3] >> 4u);
-
-    /*  index calculation for the coefficients */
-    ia2 = 2u * ia1;
-    co2 = pCoef[ia2 * 2u];
-    si2 = pCoef[(ia2 * 2u) + 1u];
-
-    /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-    pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) -
-                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
-
-    /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-    pSrc[2u * i1 + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) +
-                          ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
-
-    /* (xa - xc) - (yb - yd) */
-    r1 = r2 - t1;
-    /* (xa - xc) + (yb - yd) */
-    r2 = r2 + t1;
-
-    /* (ya - yc) + (xb - xd) */
-    s1 = s2 + t2;
-    /* (ya - yc) - (xb - xd) */
-    s2 = s2 - t2;
-
-    co1 = pCoef[ia1 * 2u];
-    si1 = pCoef[(ia1 * 2u) + 1u];
-
-    /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-    pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
-                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
-
-    /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-    pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
-                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
-
-    /*  index calculation for the coefficients */
-    ia3 = 3u * ia1;
-    co3 = pCoef[ia3 * 2u];
-    si3 = pCoef[(ia3 * 2u) + 1u];
-
-    /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-    pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
-                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
-
-    /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-    pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
-                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
-
-    /*  Twiddle coefficients index modifier */
-    ia1 = ia1 + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-
-  /* data is in 5.27(q27) format */
-  /* each stage provides two down scaling of the input */
-
-
-  /* Start of Middle stages process */
-
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of second stage to excluding last stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the first stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ia1 = 0u;
-
-    for (j = 0; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      ia3 = ia2 + ia1;
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /*  Butterfly implementation */
-        /* xa + xc */
-        r1 = pSrc[2u * i0] + pSrc[2u * i2];
-        /* xa - xc */
-        r2 = pSrc[2u * i0] - pSrc[2u * i2];
-
-        /* ya + yc */
-        s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
-        /* ya - yc */
-        s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
-
-        /* xb + xd */
-        t1 = pSrc[2u * i1] + pSrc[2u * i3];
-
-        /* xa' = xa + xb + xc + xd */
-        pSrc[2u * i0] = (r1 + t1) >> 2u;
-        /* xa + xc -(xb + xd) */
-        r1 = r1 - t1;
-        /* yb + yd */
-        t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
-        /* ya' = ya + yb + yc + yd */
-        pSrc[(2u * i0) + 1u] = (s1 + t2) >> 2u;
-
-        /* (ya + yc) - (yb + yd) */
-        s1 = s1 - t2;
-
-        /* (yb - yd) */
-        t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
-        /* (xb - xd) */
-        t2 = pSrc[2u * i1] - pSrc[2u * i3];
-
-        /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-        pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32u)) -
-                         ((int32_t) (((q63_t) s1 * si2) >> 32u))) >> 1u;
-
-        /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-        pSrc[(2u * i1) + 1u] =
-          (((int32_t) (((q63_t) s1 * co2) >> 32u)) +
-           ((int32_t) (((q63_t) r1 * si2) >> 32u))) >> 1u;
-
-        /* (xa - xc) - (yb - yd) */
-        r1 = r2 - t1;
-        /* (xa - xc) + (yb - yd) */
-        r2 = r2 + t1;
-
-        /* (ya - yc) +  (xb - xd) */
-        s1 = s2 + t2;
-        /* (ya - yc) -  (xb - xd) */
-        s2 = s2 - t2;
-
-        /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-        pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
-                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
-
-        /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-        pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
-                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
-
-        /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-        pSrc[(2u * i3)] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
-                           ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
-
-        /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-        pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
-                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
-      }
-    }
-    twidCoefModifier <<= 2u;
-  }
-#else
-  uint32_t n1, n2, ia1, ia2, ia3, i0, j, k;
-  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
-  q31_t xa, xb, xc, xd;
-  q31_t ya, yb, yc, yd;
-  q31_t xa_out, xb_out, xc_out, xd_out;
-  q31_t ya_out, yb_out, yc_out, yd_out;
-
-  q31_t *ptr1;
-  q31_t *pSi0;
-  q31_t *pSi1;
-  q31_t *pSi2;
-  q31_t *pSi3;
-  q63_t xaya, xbyb, xcyc, xdyd;
-
-  /* input is be 1.31(q31) format for all FFT sizes */
-  /* Total process is divided into three stages */
-  /* process first stage, middle stages, & last stage */
-
-  /* Start of first stage process */
-
-  /* Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-
-  ia1 = 0u;
-
-  j = n2;
-  
-  pSi0 = pSrc;
-  pSi1 = pSi0 + 2 * n2;
-  pSi2 = pSi1 + 2 * n2;
-  pSi3 = pSi2 + 2 * n2;
-
-  do
-  {
-    /*  Butterfly implementation */
-    /* xa + xc */
-    r1 = (pSi0[0] >> 4u) + (pSi2[0] >> 4u);
-    /* xa - xc */
-    r2 = (pSi0[0] >> 4u) - (pSi2[0] >> 4u);
-
-    /* xb + xd */
-    t1 = (pSi1[0] >> 4u) + (pSi3[0] >> 4u);
-
-    /* ya + yc */
-    s1 = (pSi0[1] >> 4u) + (pSi2[1] >> 4u);
-    /* ya - yc */
-    s2 = (pSi0[1] >> 4u) - (pSi2[1] >> 4u);
-
-    /* xa' = xa + xb + xc + xd */
-    *pSi0++ = (r1 + t1);
-    /* (xa + xc) - (xb + xd) */
-    r1 = r1 - t1;
-    /* yb + yd */
-    t2 = (pSi1[1] >> 4u) + (pSi3[1] >> 4u);
-    /* ya' = ya + yb + yc + yd */
-    *pSi0++ = (s1 + t2);
-
-    /* (ya + yc) - (yb + yd) */
-    s1 = s1 - t2;
-
-    /* yb - yd */
-    t1 = (pSi1[1] >> 4u) - (pSi3[1] >> 4u);
-    /* xb - xd */
-    t2 = (pSi1[0] >> 4u) - (pSi3[0] >> 4u);
-
-    /*  index calculation for the coefficients */
-    ia2 = 2u * ia1;
-    co2 = pCoef[ia2 * 2u];
-    si2 = pCoef[(ia2 * 2u) + 1u];
-
-    /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-    *pSi1++ = (((int32_t) (((q63_t) r1 * co2) >> 32)) -
-                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
-
-    /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-    *pSi1++ = (((int32_t) (((q63_t) s1 * co2) >> 32)) +
-                          ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
-
-    /* (xa - xc) - (yb - yd) */
-    r1 = r2 - t1;
-    /* (xa - xc) + (yb - yd) */
-    r2 = r2 + t1;
-
-    /* (ya - yc) + (xb - xd) */
-    s1 = s2 + t2;
-    /* (ya - yc) - (xb - xd) */
-    s2 = s2 - t2;
-
-    co1 = pCoef[ia1 * 2u];
-    si1 = pCoef[(ia1 * 2u) + 1u];
-
-    /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-    *pSi2++ = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
-                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
-
-    /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-    *pSi2++ = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
-                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
-
-    /*  index calculation for the coefficients */
-    ia3 = 3u * ia1;
-    co3 = pCoef[ia3 * 2u];
-    si3 = pCoef[(ia3 * 2u) + 1u];
-
-    /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-    *pSi3++ = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
-                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
-
-    /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-    *pSi3++ = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
-                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
-
-    /*  Twiddle coefficients index modifier */
-    ia1 = ia1 + twidCoefModifier;
-
-  } while(--j);
-
-  /* data is in 5.27(q27) format */
-  /* each stage provides two down scaling of the input */
-
-
-  /* Start of Middle stages process */
-
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of second stage to excluding last stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the first stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ia1 = 0u;
-
-    for (j = 0; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      ia3 = ia2 + ia1;
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-      
-      pSi0 = pSrc + 2 * j;
-      pSi1 = pSi0 + 2 * n2;
-      pSi2 = pSi1 + 2 * n2;
-      pSi3 = pSi2 + 2 * n2;
-
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  Butterfly implementation */
-        /* xa + xc */
-        r1 = pSi0[0] + pSi2[0];
-
-        /* xa - xc */
-        r2 = pSi0[0] - pSi2[0];
-
-
-        /* ya + yc */
-        s1 = pSi0[1] + pSi2[1];
-
-        /* ya - yc */
-        s2 = pSi0[1] - pSi2[1];
-
-
-        /* xb + xd */
-        t1 = pSi1[0] + pSi3[0];
-
-
-        /* xa' = xa + xb + xc + xd */
-        pSi0[0] = (r1 + t1) >> 2u;
-        /* xa + xc -(xb + xd) */
-        r1 = r1 - t1;
-        /* yb + yd */
-        t2 = pSi1[1] + pSi3[1];
-
-        /* ya' = ya + yb + yc + yd */
-        pSi0[1] = (s1 + t2) >> 2u;
-        pSi0 += 2 * n1;
-
-        /* (ya + yc) - (yb + yd) */
-        s1 = s1 - t2;
-
-        /* (yb - yd) */
-        t1 = pSi1[1] - pSi3[1];
-
-        /* (xb - xd) */
-        t2 = pSi1[0] - pSi3[0];
-
-
-        /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-        pSi1[0] = (((int32_t) (((q63_t) r1 * co2) >> 32u)) -
-                         ((int32_t) (((q63_t) s1 * si2) >> 32u))) >> 1u;
-
-        /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-        pSi1[1] =
-
-          (((int32_t) (((q63_t) s1 * co2) >> 32u)) +
-           ((int32_t) (((q63_t) r1 * si2) >> 32u))) >> 1u;
-        pSi1 += 2 * n1;
-
-        /* (xa - xc) - (yb - yd) */
-        r1 = r2 - t1;
-        /* (xa - xc) + (yb - yd) */
-        r2 = r2 + t1;
-
-        /* (ya - yc) +  (xb - xd) */
-        s1 = s2 + t2;
-        /* (ya - yc) -  (xb - xd) */
-        s2 = s2 - t2;
-
-        /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-        pSi2[0] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
-                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
-
-        /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-        pSi2[1] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
-                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
-        pSi2 += 2 * n1;
-
-        /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-        pSi3[0] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
-                           ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
-
-        /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-        pSi3[1] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
-                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
-        pSi3 += 2 * n1;
-      }
-    }
-    twidCoefModifier <<= 2u;
-  }
-#endif
-
-  /* End of Middle stages process */
-
-  /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
-  /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
-  /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
-  /* data is in 5.27(q27) format for the 16 point as there are no middle stages */
-
-
-  /* Start of last stage process */
-
-
-  /*  Initializations for the last stage */
-  j = fftLen >> 2;
-  ptr1 = &pSrc[0];
-
-  /*  Calculations of last stage */
-  do
-  {
-#ifndef ARM_MATH_BIG_ENDIAN
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD64(ptr1)++;
-    xa = (q31_t) xaya;
-    ya = (q31_t) (xaya >> 32);
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD64(ptr1)++;
-    xb = (q31_t) xbyb;
-    yb = (q31_t) (xbyb >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD64(ptr1)++;
-    xc = (q31_t) xcyc;
-    yc = (q31_t) (xcyc >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xdyd = *__SIMD64(ptr1)++;
-    xd = (q31_t) xdyd;
-    yd = (q31_t) (xdyd >> 32);
-
-#else
-
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD64(ptr1)++;
-    ya = (q31_t) xaya;
-    xa = (q31_t) (xaya >> 32);
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD64(ptr1)++;
-    yb = (q31_t) xbyb;
-    xb = (q31_t) (xbyb >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD64(ptr1)++;
-    yc = (q31_t) xcyc;
-    xc = (q31_t) (xcyc >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xdyd = *__SIMD64(ptr1)++;
-    yd = (q31_t) xdyd;
-    xd = (q31_t) (xdyd >> 32);
-
-
-#endif
-
-    /* xa' = xa + xb + xc + xd */
-    xa_out = xa + xb + xc + xd;
-
-    /* ya' = ya + yb + yc + yd */
-    ya_out = ya + yb + yc + yd;
-
-    /* pointer updation for writing */
-    ptr1 = ptr1 - 8u;
-
-    /* writing xa' and ya' */
-    *ptr1++ = xa_out;
-    *ptr1++ = ya_out;
-
-    xc_out = (xa - xb + xc - xd);
-    yc_out = (ya - yb + yc - yd);
-
-    /* writing xc' and yc' */
-    *ptr1++ = xc_out;
-    *ptr1++ = yc_out;
-
-    xb_out = (xa - yb - xc + yd);
-    yb_out = (ya + xb - yc - xd);
-
-    /* writing xb' and yb' */
-    *ptr1++ = xb_out;
-    *ptr1++ = yb_out;
-
-    xd_out = (xa + yb - xc - yd);
-    yd_out = (ya - xb - yc + xd);
-
-    /* writing xd' and yd' */
-    *ptr1++ = xd_out;
-    *ptr1++ = yd_out;
-
-  } while(--j);
-
-  /* output is in 11.21(q21) format for the 1024 point */
-  /* output is in 9.23(q23) format for the 256 point */
-  /* output is in 7.25(q25) format for the 64 point */
-  /* output is in 5.27(q27) format for the 16 point */
-
-  /* End of last stage process */
-}
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix8_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix8_f32.c
deleted file mode 100644
index 7ed8fded..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix8_f32.c
+++ /dev/null
@@ -1,384 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix8_f32.c    
-*    
-* Description:	Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function        
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.      
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
-* @ingroup groupTransforms    
-*/
-
-/**    
-* @defgroup Radix8_CFFT_CIFFT Radix-8 Complex FFT Functions    
-*    
-* \par    
-* Complex Fast Fourier Transform(CFFT) and Complex Inverse Fast Fourier Transform(CIFFT) is an efficient algorithm to compute Discrete Fourier Transform(DFT) and Inverse Discrete Fourier Transform(IDFT).    
-* Computational complexity of CFFT reduces drastically when compared to DFT.    
-* \par    
-* This set of functions implements CFFT/CIFFT    
-* for floating-point data types.  The functions operates on in-place buffer which uses same buffer for input and output.    
-* Complex input is stored in input buffer in an interleaved fashion.    
-*    
-* \par    
-* The functions operate on blocks of input and output data and each call to the function processes    
-* 2*fftLen samples through the transform.  pSrc  points to In-place arrays containing 2*fftLen values.    
-* \par   
-* The pSrc points to the array of in-place buffer of size 2*fftLen and inputs and outputs are stored in an interleaved fashion as shown below.    
-* 
 {real[0], imag[0], real[1], imag[1],..} 
    
-*    
-* \par Lengths supported by the transform:   
-* \par    
-* Internally, the function utilize a Radix-8 decimation in frequency(DIF) algorithm    
-* and the size of the FFT supported are of the lengths [ 64, 512, 4096].   
-*     
-*    
-* \par Algorithm:    
-*    
-* Complex Fast Fourier Transform:    
-* \par     
-* Input real and imaginary data:    
-* 
    
-* x(n) = xa + j * ya    
-* x(n+N/4 ) = xb + j * yb    
-* x(n+N/2 ) = xc + j * yc    
-* x(n+3N 4) = xd + j * yd    
-* 
    
-* where N is length of FFT    
-* \par    
-* Output real and imaginary data:    
-* 
    
-* X(4r) = xa'+ j * ya'    
-* X(4r+1) = xb'+ j * yb'    
-* X(4r+2) = xc'+ j * yc'    
-* X(4r+3) = xd'+ j * yd'    
-* 
    
-* \par    
-* Twiddle factors for Radix-8 FFT:    
-* 
    
-* Wn = co1 + j * (- si1)    
-* W2n = co2 + j * (- si2)    
-* W3n = co3 + j * (- si3)    
-* 
    
-*    
-* \par    
-* \image html CFFT.gif "Radix-8 Decimation-in Frequency Complex Fast Fourier Transform"    
-*    
-* \par    
-* Output from Radix-8 CFFT Results in Digit reversal order. Interchange middle two branches of every butterfly results in Bit reversed output.    
-* \par    
-*  Butterfly CFFT equations:    
-* 
    
-* xa' = xa + xb + xc + xd    
-* ya' = ya + yb + yc + yd    
-* xc' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)    
-* yc' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)    
-* xb' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)    
-* yb' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)    
-* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)    
-* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)    
-* 
    
-*    
-* \par    
-* where fftLen length of CFFT/CIFFT; ifftFlag Flag for selection of CFFT or CIFFT(Set ifftFlag to calculate CIFFT otherwise calculates CFFT);    
-* bitReverseFlag Flag for selection of output order(Set bitReverseFlag to output in normal order otherwise output in bit reversed order);     
-* pTwiddlepoints to array of twiddle coefficients; pBitRevTable points to the array of bit reversal table.    
-* twidCoefModifier modifier for twiddle factor table which supports all FFT lengths with same table;     
-* pBitRevTable modifier for bit reversal table which supports all FFT lengths with same table.    
-* onebyfftLen value of 1/fftLen to calculate CIFFT;    
-*   
-* \par Fixed-Point Behavior    
-* Care must be taken when using the fixed-point versions of the CFFT/CIFFT function.    
-* Refer to the function specific documentation below for usage guidelines.    
-*/
-
-
-/*    
-* @brief  Core function for the floating-point CFFT butterfly process.   
-* @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
-* @param[in]      fftLen           length of the FFT.   
-* @param[in]      *pCoef           points to the twiddle coefficient buffer.   
-* @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
-* @return none.   
-*/
-
-void arm_radix8_butterfly_f32(
-float32_t * pSrc,
-uint16_t fftLen,
-const float32_t * pCoef,
-uint16_t twidCoefModifier)
-{
-   uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7;
-   uint32_t i1, i2, i3, i4, i5, i6, i7, i8;
-   uint32_t id;
-   uint32_t n1, n2, j;
-   
-   float32_t r1, r2, r3, r4, r5, r6, r7, r8;
-   float32_t t1, t2;
-   float32_t s1, s2, s3, s4, s5, s6, s7, s8;
-   float32_t p1, p2, p3, p4;
-   float32_t co2, co3, co4, co5, co6, co7, co8;
-   float32_t si2, si3, si4, si5, si6, si7, si8;
-   const float32_t C81 = 0.70710678118f;
-
-   n2 = fftLen;
-   
-   do 
-   {
-      n1 = n2;
-      n2 = n2 >> 3;
-      i1 = 0;
-      
-      do
-      {
-         i2 = i1 + n2;
-         i3 = i2 + n2;
-         i4 = i3 + n2;
-         i5 = i4 + n2;
-         i6 = i5 + n2;
-         i7 = i6 + n2;
-         i8 = i7 + n2;
-         r1 = pSrc[2 * i1] + pSrc[2 * i5];
-         r5 = pSrc[2 * i1] - pSrc[2 * i5];
-         r2 = pSrc[2 * i2] + pSrc[2 * i6];
-         r6 = pSrc[2 * i2] - pSrc[2 * i6];
-         r3 = pSrc[2 * i3] + pSrc[2 * i7];
-         r7 = pSrc[2 * i3] - pSrc[2 * i7];
-         r4 = pSrc[2 * i4] + pSrc[2 * i8];
-         r8 = pSrc[2 * i4] - pSrc[2 * i8];
-         t1 = r1 - r3;
-         r1 = r1 + r3;
-         r3 = r2 - r4;
-         r2 = r2 + r4;
-         pSrc[2 * i1] = r1 + r2;   
-         pSrc[2 * i5] = r1 - r2;
-         r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
-         s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
-         r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
-         s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
-         s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
-         s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
-         r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
-         s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
-         t2 = r1 - s3;
-         r1 = r1 + s3;
-         s3 = r2 - r4;
-         r2 = r2 + r4;
-         pSrc[2 * i1 + 1] = r1 + r2;
-         pSrc[2 * i5 + 1] = r1 - r2;
-         pSrc[2 * i3]     = t1 + s3;
-         pSrc[2 * i7]     = t1 - s3;
-         pSrc[2 * i3 + 1] = t2 - r3;
-         pSrc[2 * i7 + 1] = t2 + r3;
-         r1 = (r6 - r8) * C81;
-         r6 = (r6 + r8) * C81;
-         r2 = (s6 - s8) * C81;
-         s6 = (s6 + s8) * C81;
-         t1 = r5 - r1;
-         r5 = r5 + r1;
-         r8 = r7 - r6;
-         r7 = r7 + r6;
-         t2 = s5 - r2;
-         s5 = s5 + r2;
-         s8 = s7 - s6;
-         s7 = s7 + s6;
-         pSrc[2 * i2]     = r5 + s7;
-         pSrc[2 * i8]     = r5 - s7;
-         pSrc[2 * i6]     = t1 + s8;
-         pSrc[2 * i4]     = t1 - s8;
-         pSrc[2 * i2 + 1] = s5 - r7;
-         pSrc[2 * i8 + 1] = s5 + r7;
-         pSrc[2 * i6 + 1] = t2 - r8;
-         pSrc[2 * i4 + 1] = t2 + r8;
-         
-         i1 += n1;
-      } while(i1 < fftLen);
-      
-      if(n2 < 8)
-         break;
-      
-      ia1 = 0;
-      j = 1;
-      
-      do
-      {      
-         /*  index calculation for the coefficients */
-         id  = ia1 + twidCoefModifier;
-         ia1 = id;
-         ia2 = ia1 + id;
-         ia3 = ia2 + id;
-         ia4 = ia3 + id;
-         ia5 = ia4 + id;
-         ia6 = ia5 + id;
-         ia7 = ia6 + id;
-                  
-         co2 = pCoef[2 * ia1];
-         co3 = pCoef[2 * ia2];
-         co4 = pCoef[2 * ia3];
-         co5 = pCoef[2 * ia4];
-         co6 = pCoef[2 * ia5];
-         co7 = pCoef[2 * ia6];
-         co8 = pCoef[2 * ia7];
-         si2 = pCoef[2 * ia1 + 1];
-         si3 = pCoef[2 * ia2 + 1];
-         si4 = pCoef[2 * ia3 + 1];
-         si5 = pCoef[2 * ia4 + 1];
-         si6 = pCoef[2 * ia5 + 1];
-         si7 = pCoef[2 * ia6 + 1];
-         si8 = pCoef[2 * ia7 + 1];         
-         
-         i1 = j;
-         
-         do
-         {
-            /*  index calculation for the input */
-            i2 = i1 + n2;
-            i3 = i2 + n2;
-            i4 = i3 + n2;
-            i5 = i4 + n2;
-            i6 = i5 + n2;
-            i7 = i6 + n2;
-            i8 = i7 + n2;
-            r1 = pSrc[2 * i1] + pSrc[2 * i5];
-            r5 = pSrc[2 * i1] - pSrc[2 * i5];
-            r2 = pSrc[2 * i2] + pSrc[2 * i6];
-            r6 = pSrc[2 * i2] - pSrc[2 * i6];
-            r3 = pSrc[2 * i3] + pSrc[2 * i7];
-            r7 = pSrc[2 * i3] - pSrc[2 * i7];
-            r4 = pSrc[2 * i4] + pSrc[2 * i8];
-            r8 = pSrc[2 * i4] - pSrc[2 * i8];
-            t1 = r1 - r3;
-            r1 = r1 + r3;
-            r3 = r2 - r4;
-            r2 = r2 + r4;
-            pSrc[2 * i1] = r1 + r2;
-            r2 = r1 - r2;
-            s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
-            s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
-            s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
-            s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
-            s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
-            s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
-            s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
-            s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
-            t2 = s1 - s3;
-            s1 = s1 + s3;
-            s3 = s2 - s4;
-            s2 = s2 + s4;
-            r1 = t1 + s3;
-            t1 = t1 - s3;
-            pSrc[2 * i1 + 1] = s1 + s2;
-            s2 = s1 - s2;
-            s1 = t2 - r3;
-            t2 = t2 + r3;
-            p1 = co5 * r2;
-            p2 = si5 * s2;
-            p3 = co5 * s2;
-            p4 = si5 * r2;
-            pSrc[2 * i5]     = p1 + p2;
-            pSrc[2 * i5 + 1] = p3 - p4;
-            p1 = co3 * r1;
-            p2 = si3 * s1;
-            p3 = co3 * s1;
-            p4 = si3 * r1;
-            pSrc[2 * i3]     = p1 + p2;
-            pSrc[2 * i3 + 1] = p3 - p4;
-            p1 = co7 * t1;
-            p2 = si7 * t2;
-            p3 = co7 * t2;
-            p4 = si7 * t1;
-            pSrc[2 * i7]     = p1 + p2;
-            pSrc[2 * i7 + 1] = p3 - p4;
-            r1 = (r6 - r8) * C81;
-            r6 = (r6 + r8) * C81;
-            s1 = (s6 - s8) * C81;
-            s6 = (s6 + s8) * C81;
-            t1 = r5 - r1;
-            r5 = r5 + r1;
-            r8 = r7 - r6;
-            r7 = r7 + r6;
-            t2 = s5 - s1;
-            s5 = s5 + s1;
-            s8 = s7 - s6;
-            s7 = s7 + s6;
-            r1 = r5 + s7;
-            r5 = r5 - s7;
-            r6 = t1 + s8;
-            t1 = t1 - s8;
-            s1 = s5 - r7;
-            s5 = s5 + r7;
-            s6 = t2 - r8;
-            t2 = t2 + r8;
-            p1 = co2 * r1;
-            p2 = si2 * s1;
-            p3 = co2 * s1;
-            p4 = si2 * r1;
-            pSrc[2 * i2]     = p1 + p2;
-            pSrc[2 * i2 + 1] = p3 - p4;
-            p1 = co8 * r5;
-            p2 = si8 * s5;
-            p3 = co8 * s5;
-            p4 = si8 * r5;
-            pSrc[2 * i8]     = p1 + p2;
-            pSrc[2 * i8 + 1] = p3 - p4;
-            p1 = co6 * r6;
-            p2 = si6 * s6;
-            p3 = co6 * s6;
-            p4 = si6 * r6;
-            pSrc[2 * i6]     = p1 + p2;
-            pSrc[2 * i6 + 1] = p3 - p4;
-            p1 = co4 * t1;
-            p2 = si4 * t2;
-            p3 = co4 * t2;
-            p4 = si4 * t1;
-            pSrc[2 * i4]     = p1 + p2;
-            pSrc[2 * i4 + 1] = p3 - p4;
-            
-            i1 += n1;
-         } while(i1 < fftLen);
-         
-         j++;
-      } while(j < n2);
-      
-      twidCoefModifier <<= 3;
-   } while(n2 > 7);   
-}
-
-/**    
-* @} end of Radix8_CFFT_CIFFT group    
-*/
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_f32.c
deleted file mode 100644
index 5ee7efaa..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_f32.c
+++ /dev/null
@@ -1,461 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_f32.c    
-*    
-* Description:	Processing function of DCT4 & IDCT4 F32.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.      
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @defgroup DCT4_IDCT4 DCT Type IV Functions    
- * Representation of signals by minimum number of values is important for storage and transmission.    
- * The possibility of large discontinuity between the beginning and end of a period of a signal    
- * in DFT can be avoided by extending the signal so that it is even-symmetric.    
- * Discrete Cosine Transform (DCT) is constructed such that its energy is heavily concentrated in the lower part of the    
- * spectrum and is very widely used in signal and image coding applications.    
- * The family of DCTs (DCT type- 1,2,3,4) is the outcome of different combinations of homogeneous boundary conditions.    
- * DCT has an excellent energy-packing capability, hence has many applications and in data compression in particular.    
- *    
- * DCT is essentially the Discrete Fourier Transform(DFT) of an even-extended real signal.    
- * Reordering of the input data makes the computation of DCT just a problem of    
- * computing the DFT of a real signal with a few additional operations.    
- * This approach provides regular, simple, and very efficient DCT algorithms for practical hardware and software implementations.    
- *     
- * DCT type-II can be implemented using Fast fourier transform (FFT) internally, as the transform is applied on real values, Real FFT can be used.    
- * DCT4 is implemented using DCT2 as their implementations are similar except with some added pre-processing and post-processing.    
- * DCT2 implementation can be described in the following steps:    
- * - Re-ordering input    
- * - Calculating Real FFT    
- * - Multiplication of weights and Real FFT output and getting real part from the product.    
- *    
- * This process is explained by the block diagram below:    
- * \image html DCT4.gif "Discrete Cosine Transform - type-IV"    
- *    
- * \par Algorithm:    
- * The N-point type-IV DCT is defined as a real, linear transformation by the formula:    
- * \image html DCT4Equation.gif    
- * where k = 0,1,2,.....N-1    
- *\par    
- * Its inverse is defined as follows:    
- * \image html IDCT4Equation.gif    
- * where n = 0,1,2,.....N-1    
- *\par    
- * The DCT4 matrices become involutory (i.e. they are self-inverse) by multiplying with an overall scale factor of sqrt(2/N).    
- * The symmetry of the transform matrix indicates that the fast algorithms for the forward    
- * and inverse transform computation are identical.    
- * Note that the implementation of Inverse DCT4 and DCT4 is same, hence same process function can be used for both.    
- *    
- * \par Lengths supported by the transform:    
- *  As DCT4 internally uses Real FFT, it supports all the lengths supported by arm_rfft_f32().    
- * The library provides separate functions for Q15, Q31, and floating-point data types.    
- * \par Instance Structure    
- * The instances for Real FFT and FFT, cosine values table and twiddle factor table are stored in an instance data structure.    
- * A separate instance structure must be defined for each transform.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Initializes Real FFT as its process function is used internally in DCT4, by calling arm_rfft_init_f32().    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Manually initialize the instance structure as follows:    
- * 
    
- *arm_dct4_instance_f32 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};    
- *arm_dct4_instance_q31 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};   
- *arm_dct4_instance_q15 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};   
- * 
   
- * where \c N is the length of the DCT4; \c Nby2 is half of the length of the DCT4;   
- * \c normalize is normalizing factor used and is equal to sqrt(2/N);    
- * \c pTwiddle points to the twiddle factor table;   
- * \c pCosFactor points to the cosFactor table;   
- * \c pRfft points to the real FFT instance;   
- * \c pCfft points to the complex FFT instance;   
- * The CFFT and RFFT structures also needs to be initialized, refer to arm_cfft_radix4_f32()   
- * and arm_rfft_f32() respectively for details regarding static initialization.   
- *   
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the DCT4 transform functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
- /**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/**    
- * @brief Processing function for the floating-point DCT4/IDCT4.   
- * @param[in]       *S             points to an instance of the floating-point DCT4/IDCT4 structure.   
- * @param[in]       *pState        points to state buffer.   
- * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.   
- * @return none.   
- */
-
-void arm_dct4_f32(
-  const arm_dct4_instance_f32 * S,
-  float32_t * pState,
-  float32_t * pInlineBuffer)
-{
-  uint32_t i;                                    /* Loop counter */
-  float32_t *weights = S->pTwiddle;              /* Pointer to the Weights table */
-  float32_t *cosFact = S->pCosFactor;            /* Pointer to the cos factors table */
-  float32_t *pS1, *pS2, *pbuff;                  /* Temporary pointers for input buffer and pState buffer */
-  float32_t in;                                  /* Temporary variable */
-
-
-  /* DCT4 computation involves DCT2 (which is calculated using RFFT)    
-   * along with some pre-processing and post-processing.    
-   * Computational procedure is explained as follows:    
-   * (a) Pre-processing involves multiplying input with cos factor,    
-   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))    
-   *              where,    
-   *                 r(n) -- output of preprocessing    
-   *                 u(n) -- input to preprocessing(actual Source buffer)    
-   * (b) Calculation of DCT2 using FFT is divided into three steps:    
-   *                  Step1: Re-ordering of even and odd elements of input.    
-   *                  Step2: Calculating FFT of the re-ordered input.    
-   *                  Step3: Taking the real part of the product of FFT output and weights.    
-   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:    
-   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *                        where,    
-   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output    
-   * (d) Multiplying the output with the normalizing factor sqrt(2/N).    
-   */
-
-        /*-------- Pre-processing ------------*/
-  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
-  arm_scale_f32(pInlineBuffer, 2.0f, pInlineBuffer, S->N);
-  arm_mult_f32(pInlineBuffer, cosFact, pInlineBuffer, S->N);
-
-  /* ----------------------------------------------------------------    
-   * Step1: Re-ordering of even and odd elements as,    
-   *             pState[i] =  pInlineBuffer[2*i] and    
-   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2    
-   ---------------------------------------------------------------------*/
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
-  pS2 = pState + (S->N - 1u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
-  i = (uint32_t) S->Nby2 >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = (uint32_t) S->N >> 2u;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.    
-   * Compute 4 outputs at a time */
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_f32(S->pRfft, pInlineBuffer, pState);
-
-        /*----------------------------------------------------------------------    
-	 *  Step3: Multiply the FFT output with the weights.    
-	 *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
-  i = ((uint32_t) S->N - 1u) >> 2u;
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ * (float32_t) 0.5;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  i = ((uint32_t) S->N - 1u) % 0x4u;
-
-  while(i > 0u)
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-
-        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = (uint32_t) S->N >> 2u;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = in * S->normalize;
-
-    in = *pbuff;
-    *pbuff++ = in * S->normalize;
-
-    in = *pbuff;
-    *pbuff++ = in * S->normalize;
-
-    in = *pbuff;
-    *pbuff++ = in * S->normalize;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Initializing the loop counter to N/2 */
-  i = (uint32_t) S->Nby2;
-
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter */
-  i = (uint32_t) S->N;
-
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_f32(S->pRfft, pInlineBuffer, pState);
-
-        /*----------------------------------------------------------------------    
-	 *  Step3: Multiply the FFT output with the weights.    
-	 *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ * (float32_t) 0.5;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  /* Initializing the loop counter */
-  i = ((uint32_t) S->N - 1u);
-
-  do
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter */
-  i = (uint32_t) S->N;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = in * S->normalize;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c
deleted file mode 100644
index efc6501e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c
+++ /dev/null
@@ -1,16519 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_init_f32.c    
-*    
-* Description:	Initialization function of DCT-4 & IDCT4 F32    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/*    
-* @brief  Weights Table    
-*/
-
-/**    
-* \par    
-* Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
    
-* \par    
-* C command to generate the table    
-* 
    
-* for(i = 0; i< N; i++)    
-* {    
-*    weights[2*i]= cos(i*c);    
-*    weights[(2*i)+1]= -sin(i * c);    
-* } 
    
-* \par    
-* Where N is the Number of weights to be calculated and c is pi/(2*N)    
-* \par    
-* In the tables below the real and imaginary values are placed alternatively, hence the    
-* array length is 2*N.    
-*/
-
-static const float32_t Weights_128[256] = {
-  1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f,
-  -0.012271538285719925f,
-  0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f,
-  -0.036807222941358832f,
-  0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f,
-  -0.061320736302208578f,
-  0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f,
-  -0.085797312344439894f,
-  0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f,
-  -0.110222207293883060f,
-  0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f,
-  -0.134580708507126170f,
-  0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f,
-  -0.158858143333861450f,
-  0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f,
-  -0.183039887955140950f,
-  0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f,
-  -0.207111376192218560f,
-  0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f,
-  -0.231058108280671110f,
-  0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f,
-  -0.254865659604514570f,
-  0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f,
-  -0.278519689385053060f,
-  0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f,
-  -0.302005949319228080f,
-  0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f,
-  -0.325310292162262930f,
-  0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f,
-  -0.348418680249434560f,
-  0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f,
-  -0.371317193951837540f,
-  0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f,
-  -0.393992040061048100f,
-  0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f,
-  -0.416429560097637150f,
-  0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f,
-  -0.438616238538527660f,
-  0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f,
-  -0.460538710958240010f,
-  0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f,
-  -0.482183772079122720f,
-  0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f,
-  -0.503538383725717580f,
-  0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f,
-  -0.524589682678468950f,
-  0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f,
-  -0.545324988422046460f,
-  0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f,
-  -0.565731810783613120f,
-  0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f,
-  -0.585797857456438860f,
-  0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f,
-  -0.605511041404325550f,
-  0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f,
-  -0.624859488142386340f,
-  0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f,
-  -0.643831542889791390f,
-  0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f,
-  -0.662415777590171780f,
-  0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f,
-  -0.680600997795453020f,
-  0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f,
-  -0.698376249408972920f,
-  0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f,
-  -0.715730825283818590f,
-  0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f,
-  -0.732654271672412820f,
-  0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f,
-  -0.749136394523459260f,
-  0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f,
-  -0.765167265622458960f,
-  0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f,
-  -0.780737228572094380f,
-  0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f,
-  -0.795836904608883460f,
-  0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f,
-  -0.810457198252594770f,
-  0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f,
-  -0.824589302785025290f,
-  0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f,
-  -0.838224705554837970f,
-  0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f,
-  -0.851355193105265200f,
-  0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f,
-  -0.863972856121586700f,
-  0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f,
-  -0.876070094195406600f,
-  0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f,
-  -0.887639620402853930f,
-  0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f,
-  -0.898674465693953820f,
-  0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f,
-  -0.909167983090522270f,
-  0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f,
-  -0.919113851690057770f,
-  0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f,
-  -0.928506080473215480f,
-  0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f,
-  -0.937339011912574960f,
-  0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f,
-  -0.945607325380521280f,
-  0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f,
-  -0.953306040354193750f,
-  0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f,
-  -0.960430519415565790f,
-  0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f,
-  -0.966976471044852070f,
-  0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f,
-  -0.972939952205560070f,
-  0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f,
-  -0.978317370719627650f,
-  0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f,
-  -0.983105487431216290f,
-  0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f,
-  -0.987301418157858430f,
-  0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f,
-  -0.990902635427780010f,
-  0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f,
-  -0.993906970002356060f,
-  0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f,
-  -0.996312612182778000f,
-  0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f,
-  -0.998118112900149180f,
-  0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f,
-  -0.999322384588349540f,
-  0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f,
-  -0.999924701839144500f
-};
-
-static const float32_t Weights_512[1024] = {
-  1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f,
-  -0.003067956762965976f,
-  0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f,
-  -0.009203754782059819f,
-  0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f,
-  -0.015339206284988100f,
-  0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f,
-  -0.021474080275469508f,
-  0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f,
-  -0.027608145778965740f,
-  0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f,
-  -0.033741171851377580f,
-  0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f,
-  -0.039872927587739811f,
-  0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f,
-  -0.046003182130914623f,
-  0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f,
-  -0.052131704680283324f,
-  0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f,
-  -0.058258264500435752f,
-  0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f,
-  -0.064382630929857465f,
-  0.997723066644191640f, -0.067443919563664051f, 0.997511456140303450f,
-  -0.070504573389613856f,
-  0.997290456678690210f, -0.073564563599667426f, 0.997060070339482960f,
-  -0.076623861392031492f,
-  0.996820299291165670f, -0.079682437971430126f, 0.996571145790554840f,
-  -0.082740264549375692f,
-  0.996312612182778000f, -0.085797312344439894f, 0.996044700901251970f,
-  -0.088853552582524600f,
-  0.995767414467659820f, -0.091908956497132724f, 0.995480755491926940f,
-  -0.094963495329638992f,
-  0.995184726672196930f, -0.098017140329560604f, 0.994879330794805620f,
-  -0.101069862754827820f,
-  0.994564570734255420f, -0.104121633872054590f, 0.994240449453187900f,
-  -0.107172424956808840f,
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-    -0.999227529910869610,
-  0.039106535483329839, -0.999235046864595850, 0.038914933845027241,
-    -0.999242527079305830,
-  0.038723330775933762, -0.999249970554724420, 0.038531726283093877,
-    -0.999257377290578060,
-  0.038340120373552791, -0.999264747286594420, 0.038148513054354856,
-    -0.999272080542502610,
-  0.037956904332545366, -0.999279377058032710, 0.037765294215169005,
-    -0.999286636832916740,
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-    -0.999301046159680070,
-  0.037190455560088091, -0.999308195711029470, 0.036998839930894332,
-    -0.999315308520673070,
-  0.036807222941358991, -0.999322384588349540, 0.036615604598527057,
-    -0.999329423913798420,
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-    -0.999343392336980220,
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-    -0.999357213788164000,
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-    -0.999370888265317060,
-  0.035274238898213947, -0.999377670388002850, 0.035082609982644702,
-    -0.999384415766428560,
-  0.034890979777187955, -0.999391124400346050, 0.034699348288889847,
-    -0.999397796289508640,
-  0.034507715524795889, -0.999404431433671300, 0.034316081491951658,
-    -0.999411029832589780,
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-    -0.999424116393725640,
-  0.033741171851377642, -0.999430604555461730, 0.033549532813992221,
-    -0.999437055970991530,
-  0.033357892543086159, -0.999443470640077770, 0.033166251045705968,
-    -0.999449848562484530,
-  0.032974608328897315, -0.999456189737977340, 0.032782964399706793,
-    -0.999462494166323160,
-  0.032591319265180385, -0.999468761847290050, 0.032399672932364114,
-    -0.999474992780647780,
-  0.032208025408304704, -0.999481186966166950, 0.032016376700048046,
-    -0.999487344403620080,
-  0.031824726814640963, -0.999493465092780590, 0.031633075759129645,
-    -0.999499549033423640,
-  0.031441423540560343, -0.999505596225325310, 0.031249770165979990,
-    -0.999511606668263440,
-  0.031058115642434700, -0.999517580362016990, 0.030866459976971503,
-    -0.999523517306366350,
-  0.030674803176636581, -0.999529417501093140, 0.030483145248477058,
-    -0.999535280945980540,
-  0.030291486199539423, -0.999541107640812940, 0.030099826036870208,
-    -0.999546897585375960,
-  0.029908164767516655, -0.999552650779456990, 0.029716502398525156,
-    -0.999558367222844300,
-  0.029524838936943035, -0.999564046915327740, 0.029333174389816984,
-    -0.999569689856698580,
-  0.029141508764193740, -0.999575296046749220, 0.028949842067120746,
-    -0.999580865485273700,
-  0.028758174305644590, -0.999586398172067070, 0.028566505486812797,
-    -0.999591894106925950,
-  0.028374835617672258, -0.999597353289648380, 0.028183164705269902,
-    -0.999602775720033530,
-  0.027991492756653365, -0.999608161397882110, 0.027799819778869434,
-    -0.999613510322995950,
-  0.027608145778965820, -0.999618822495178640, 0.027416470763989606,
-    -0.999624097914234570,
-  0.027224794740987910, -0.999629336579970110, 0.027033117717008563,
-    -0.999634538492192300,
-  0.026841439699098527, -0.999639703650710200, 0.026649760694305708,
-    -0.999644832055333610,
-  0.026458080709677145, -0.999649923705874240, 0.026266399752260809,
-    -0.999654978602144690,
-  0.026074717829104040, -0.999659996743959220, 0.025883034947254208,
-    -0.999664978131133310,
-  0.025691351113759395, -0.999669922763483760, 0.025499666335666818,
-    -0.999674830640828740,
-  0.025307980620024630, -0.999679701762987930, 0.025116293973880335,
-    -0.999684536129782140,
-  0.024924606404281485, -0.999689333741033640, 0.024732917918276334,
-    -0.999694094596566000,
-  0.024541228522912264, -0.999698818696204250, 0.024349538225237600,
-    -0.999703506039774650,
-  0.024157847032300020, -0.999708156627104880, 0.023966154951147241,
-    -0.999712770458023870,
-  0.023774461988827676, -0.999717347532362190, 0.023582768152388880,
-    -0.999721887849951310,
-  0.023391073448879338, -0.999726391410624470, 0.023199377885346890,
-    -0.999730858214216030,
-  0.023007681468839410, -0.999735288260561680, 0.022815984206405477,
-    -0.999739681549498660,
-  0.022624286105092803, -0.999744038080865430, 0.022432587171950024,
-    -0.999748357854501780,
-  0.022240887414024919, -0.999752640870248840, 0.022049186838366180,
-    -0.999756887127949080,
-  0.021857485452021874, -0.999761096627446610, 0.021665783262040089,
-    -0.999765269368586450,
-  0.021474080275469605, -0.999769405351215280, 0.021282376499358355,
-    -0.999773504575180990,
-  0.021090671940755180, -0.999777567040332940, 0.020898966606708289,
-    -0.999781592746521670,
-  0.020707260504265912, -0.999785581693599210, 0.020515553640476986,
-    -0.999789533881418780,
-  0.020323846022389572, -0.999793449309835270, 0.020132137657052664,
-    -0.999797327978704690,
-  0.019940428551514598, -0.999801169887884260, 0.019748718712823757,
-    -0.999804975037232870,
-  0.019557008148029204, -0.999808743426610520, 0.019365296864179146,
-    -0.999812475055878780,
-  0.019173584868322699, -0.999816169924900410, 0.018981872167508348,
-    -0.999819828033539420,
-  0.018790158768784596, -0.999823449381661570, 0.018598444679200642,
-    -0.999827033969133420,
-  0.018406729905804820, -0.999830581795823400, 0.018215014455646376,
-    -0.999834092861600960,
-  0.018023298335773701, -0.999837567166337090, 0.017831581553236088,
-    -0.999841004709904000,
-  0.017639864115082195, -0.999844405492175240, 0.017448146028360704,
-    -0.999847769513025900,
-  0.017256427300120978, -0.999851096772332190, 0.017064707937411529,
-    -0.999854387269971890,
-  0.016872987947281773, -0.999857641005823860, 0.016681267336780482,
-    -0.999860857979768540,
-  0.016489546112956454, -0.999864038191687680, 0.016297824282859176,
-    -0.999867181641464380,
-  0.016106101853537263, -0.999870288328982950, 0.015914378832040249,
-    -0.999873358254129260,
-  0.015722655225417017, -0.999876391416790410, 0.015530931040716478,
-    -0.999879387816854930,
-  0.015339206284988220, -0.999882347454212560, 0.015147480965280975,
-    -0.999885270328754520,
-  0.014955755088644378, -0.999888156440373320, 0.014764028662127416,
-    -0.999891005788962950,
-  0.014572301692779104, -0.999893818374418490, 0.014380574187649138,
-    -0.999896594196636680,
-  0.014188846153786343, -0.999899333255515390, 0.013997117598240459,
-    -0.999902035550953920,
-  0.013805388528060349, -0.999904701082852900, 0.013613658950295789,
-    -0.999907329851114300,
-  0.013421928871995907, -0.999909921855641540, 0.013230198300209845,
-    -0.999912477096339240,
-  0.013038467241987433, -0.999914995573113470, 0.012846735704377631,
-    -0.999917477285871770,
-  0.012655003694430301, -0.999919922234522750, 0.012463271219194662,
-    -0.999922330418976490,
-  0.012271538285719944, -0.999924701839144500, 0.012079804901056066,
-    -0.999927036494939640,
-  0.011888071072252072, -0.999929334386276070, 0.011696336806357907,
-    -0.999931595513069200,
-  0.011504602110422875, -0.999933819875236000, 0.011312866991496287,
-    -0.999936007472694620,
-  0.011121131456628141, -0.999938158305364590, 0.010929395512867561,
-    -0.999940272373166960,
-  0.010737659167264572, -0.999942349676023910, 0.010545922426868548,
-    -0.999944390213859060,
-  0.010354185298728884, -0.999946393986597460, 0.010162447789895645,
-    -0.999948360994165400,
-  0.009970709907418029, -0.999950291236490480, 0.009778971658346134,
-    -0.999952184713501780,
-  0.009587233049729183, -0.999954041425129780, 0.009395494088617302,
-    -0.999955861371306100,
-  0.009203754782059960, -0.999957644551963900, 0.009012015137106642,
-    -0.999959390967037450,
-  0.008820275160807512, -0.999961100616462820, 0.008628534860211857,
-    -0.999962773500176930,
-  0.008436794242369860, -0.999964409618118280, 0.008245053314331058,
-    -0.999966008970226920,
-  0.008053312083144991, -0.999967571556443780, 0.007861570555861883,
-    -0.999969097376711580,
-  0.007669828739531077, -0.999970586430974140, 0.007478086641202815,
-    -0.999972038719176730,
-  0.007286344267926684, -0.999973454241265940, 0.007094601626752279,
-    -0.999974832997189810,
-  0.006902858724729877, -0.999976174986897610, 0.006711115568908869,
-    -0.999977480210339940,
-  0.006519372166339549, -0.999978748667468830, 0.006327628524071549,
-    -0.999979980358237650,
-  0.006135884649154515, -0.999981175282601110, 0.005944140548638765,
-    -0.999982333440515350,
-  0.005752396229573737, -0.999983454831937730, 0.005560651699009764,
-    -0.999984539456826970,
-  0.005368906963996303, -0.999985587315143200, 0.005177162031583702,
-    -0.999986598406848000,
-  0.004985416908821652, -0.999987572731904080, 0.004793671602759852,
-    -0.999988510290275690,
-  0.004601926120448672, -0.999989411081928400, 0.004410180468937601,
-    -0.999990275106828920,
-  0.004218434655277024, -0.999991102364945590, 0.004026688686516664,
-    -0.999991892856248010,
-  0.003834942569706248, -0.999992646580707190, 0.003643196311896179,
-    -0.999993363538295150,
-  0.003451449920135975, -0.999994043728985820, 0.003259703401476044,
-    -0.999994687152754080,
-  0.003067956762966138, -0.999995293809576190, 0.002876210011656010,
-    -0.999995863699429940,
-  0.002684463154596083, -0.999996396822294350, 0.002492716198835898,
-    -0.999996893178149880,
-  0.002300969151425887, -0.999997352766978210, 0.002109222019415816,
-    -0.999997775588762350,
-  0.001917474809855460, -0.999998161643486980, 0.001725727529795258,
-    -0.999998510931137790,
-  0.001533980186284766, -0.999998823451701880, 0.001342232786374430,
-    -0.999999099205167830,
-  0.001150485337113809, -0.999999338191525530, 0.000958737845553352,
-    -0.999999540410766110,
-  0.000766990318742846, -0.999999705862882230, 0.000575242763732077,
-    -0.999999834547867670,
-  0.000383495187571497, -0.999999926465717890, 0.000191747597310674,
-    -0.999999981616429330,
-
-};
-
-/**    
-* \par    
-* cosFactor tables are generated using the formula : 
cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
    
-* \par    
-* C command to generate the table    
-* \par    
-* 
 for(i = 0; i< N; i++)    
-* {    
-*    cos_factors[i]= 2 * cos((2*i+1)*c/2);    
-* } 
    
-* \par    
-* where N is the number of factors to generate and c is pi/(2*N)    
-*/
-static const float32_t cos_factors_128[128] = {
-  0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f,
-  0.999077727752645360f,
-  0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f,
-  0.995767414467659820f,
-  0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f,
-  0.990058210262297120f,
-  0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f,
-  0.981963869109555240f,
-  0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f,
-  0.971503890986251780f,
-  0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f,
-  0.958703474895871600f,
-  0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f,
-  0.943593458161960390f,
-  0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f,
-  0.926210242138311380f,
-  0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f,
-  0.906595704514915330f,
-  0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f,
-  0.884797098430937790f,
-  0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f,
-  0.860866938637767310f,
-  0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f,
-  0.834862874986380010f,
-  0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f,
-  0.806847553543799330f,
-  0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f,
-  0.776888465673232440f,
-  0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f,
-  0.745057785441466060f,
-  0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f,
-  0.711432195745216430f,
-  0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f,
-  0.676092703575316030f,
-  0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f,
-  0.639124444863775730f,
-  0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f,
-  0.600616479383868970f,
-  0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f,
-  0.560661576197336030f,
-  0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f,
-  0.519355990165589530f,
-  0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f,
-  0.476799230063322250f,
-  0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f,
-  0.433093818853152010f,
-  0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f,
-  0.388345046698826300f,
-  0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f,
-  0.342660717311994380f,
-  0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f,
-  0.296150888243623960f,
-  0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f,
-  0.248927605745720260f,
-  0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f,
-  0.201104634842091960f,
-  0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f,
-  0.152797185258443410f,
-  0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f,
-  0.104121633872054730f,
-  0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f,
-  0.055195244349690031f,
-  0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f,
-  0.006135884649154515f
-};
-
-static const float32_t cos_factors_512[512] = {
-  0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f,
-  0.999942349676023910f,
-  0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f,
-  0.999735288260561680f,
-  0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f,
-  0.999377670388002850f,
-  0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f,
-  0.998869549914283560f,
-  0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f,
-  0.998211003360478190f,
-  0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f,
-  0.997402129901275300f,
-  0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f,
-  0.996443051350042630f,
-  0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f,
-  0.995333912140482280f,
-  0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f,
-  0.994074879304879370f,
-  0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f,
-  0.992666142448948020f,
-  0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f,
-  0.991107913723276890f,
-  0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f,
-  0.989400427791380380f,
-  0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f,
-  0.987543941794359230f,
-  0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f,
-  0.985538735312176060f,
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-  0.983385110321551180f,
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-  0.087325535206192226f,
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-  0.075094300847921291f,
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-  0.062851757564161420f,
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-  0.050599749036899337f,
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-  0.038340120373552791f,
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-  0.013805388528060349f,
-  0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f,
-  0.001533980186284766f
-};
-
-static const float32_t cos_factors_2048[2048] = {
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-  0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f,
-  0.999983454831937730f,
-  0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f,
-  0.999961100616462820f,
-  0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f,
-  0.999929334386276070f,
-  0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f,
-  0.999888156440373320f,
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-  0.999837567166337090f,
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-  0.999777567040332940f,
-  0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f,
-  0.999708156627104880f,
-  0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f,
-  0.999629336579970110f,
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-  0.999541107640812940f,
-  0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f,
-  0.999443470640077770f,
-  0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f,
-  0.999336426496761240f,
-  0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f,
-  0.999219976218403530f,
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-  0.999094120901079070f,
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-  0.998958861729386080f,
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-  0.998814199976435390f,
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-  0.998660137003838490f,
-  0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f,
-  0.998496674261694640f,
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-  0.998323813288577560f,
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-  0.997949903246001190f,
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-  0.997748857695925690f,
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-  0.997538420953611340f,
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-  0.997318594999768600f,
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-  0.997089381903483400f,
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-  0.996850783822196610f,
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-  0.996602803001684130f,
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-  0.996345441776035900f,
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-  0.996078702567633980f,
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-  0.995802587887129160f,
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-  0.995517100333418110f,
-  0.995444264246510340f, 0.995370842565388990f, 0.995296835333246090f,
-  0.995222242593618360f,
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-  0.994918017443043200f,
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-  0.110603357728661910f,
-  0.109841040648882680f, 0.109078658952449240f, 0.108316213087851300f,
-  0.107553703503615710f,
-  0.106791130648307380f, 0.106028494970528530f, 0.105265796918917650f,
-  0.104503036942150550f,
-  0.103740215488939480f, 0.102977333008032250f, 0.102214389948213370f,
-  0.101451386758302160f,
-  0.100688323887153970f, 0.099925201783659226f, 0.099162020896742573f,
-  0.098398781675363881f,
-  0.097635484568517339f, 0.096872130025230527f, 0.096108718494565468f,
-  0.095345250425617742f,
-  0.094581726267515473f, 0.093818146469420494f, 0.093054511480527333f,
-  0.092290821750062355f,
-  0.091527077727284981f, 0.090763279861485704f, 0.089999428601987341f,
-  0.089235524398144139f,
-  0.088471567699340822f, 0.087707558954993645f, 0.086943498614549489f,
-  0.086179387127484922f,
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-  0.083122438703613077f,
-  0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f,
-  0.080064707899690932f,
-  0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f,
-  0.077006223496245585f,
-  0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f,
-  0.073947014280897269f,
-  0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f,
-  0.070887109048087787f,
-  0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f,
-  0.067826536598810966f,
-  0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f,
-  0.064765325740339871f,
-  0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f,
-  0.061703505285957416f,
-  0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f,
-  0.058641104054683348f,
-  0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f,
-  0.055578150871004817f,
-  0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f,
-  0.052514674564603257f,
-  0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f,
-  0.049450703970084824f,
-  0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f,
-  0.046386267926707213f,
-  0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f,
-  0.043321395278109784f,
-  0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f,
-  0.040256114872041358f,
-  0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f,
-  0.037190455560088091f,
-  0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f,
-  0.034124446197403423f,
-  0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f,
-  0.031058115642434700f,
-  0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f,
-  0.027991492756653365f,
-  0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f,
-  0.024924606404281485f,
-  0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f,
-  0.021857485452021874f,
-  0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f,
-  0.018790158768784596f,
-  0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f,
-  0.015722655225417017f,
-  0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f,
-  0.012655003694430301f,
-  0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f,
-  0.009587233049729183f,
-  0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f,
-  0.006519372166339549f,
-  0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f,
-  0.003451449920135975f,
-  0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f,
-  0.000383495187571497f
-};
-
-static const float32_t cos_factors_8192[8192] = {
-  1.999999990808214700, 1.999999917273932200, 1.999999770205369800,
-    1.999999549602533100,
-  1.999999255465430200, 1.999998887794072000, 1.999998446588471700,
-    1.999997931848645600,
-  1.999997343574612800, 1.999996681766395000, 1.999995946424016200,
-    1.999995137547503600,
-  1.999994255136887000, 1.999993299192198700, 1.999992269713474200,
-    1.999991166700750800,
-  1.999989990154069600, 1.999988740073473500, 1.999987416459008600,
-    1.999986019310723500,
-  1.999984548628669600, 1.999983004412901000, 1.999981386663474400,
-    1.999979695380449400,
-  1.999977930563888100, 1.999976092213855400, 1.999974180330418700,
-    1.999972194913648900,
-  1.999970135963618400, 1.999968003480403000, 1.999965797464081200,
-    1.999963517914734100,
-  1.999961164832445800, 1.999958738217302300, 1.999956238069392900,
-    1.999953664388809800,
-  1.999951017175647600, 1.999948296430003500, 1.999945502151977600,
-    1.999942634341672600,
-  1.999939692999193900, 1.999936678124649700, 1.999933589718150700,
-    1.999930427779810900,
-  1.999927192309745900, 1.999923883308075200, 1.999920500774920300,
-    1.999917044710405500,
-  1.999913515114657900, 1.999909911987807200, 1.999906235329986100,
-    1.999902485141329400,
-  1.999898661421975400, 1.999894764172064600, 1.999890793391740000,
-    1.999886749081147800,
-  1.999882631240436700, 1.999878439869758200, 1.999874174969266300,
-    1.999869836539117700,
-  1.999865424579472000, 1.999860939090491600, 1.999856380072341000,
-    1.999851747525188200,
-  1.999847041449203300, 1.999842261844559700, 1.999837408711432600,
-    1.999832482050000900,
-  1.999827481860445300, 1.999822408142949900, 1.999817260897701400,
-    1.999812040124888700,
-  1.999806745824704000, 1.999801377997341800, 1.999795936642999600,
-    1.999790421761877400,
-  1.999784833354177900, 1.999779171420106700, 1.999773435959872000,
-    1.999767626973684400,
-  1.999761744461757700, 1.999755788424308200, 1.999749758861554900,
-    1.999743655773719400,
-  1.999737479161026100, 1.999731229023702200, 1.999724905361977200,
-    1.999718508176084000,
-  1.999712037466257600, 1.999705493232735800, 1.999698875475759600,
-    1.999692184195571900,
-  1.999685419392419000, 1.999678581066549400, 1.999671669218214600,
-    1.999664683847668800,
-  1.999657624955168700, 1.999650492540973900, 1.999643286605346800,
-    1.999636007148552400,
-  1.999628654170857900, 1.999621227672533800, 1.999613727653853500,
-    1.999606154115092500,
-  1.999598507056529000, 1.999590786478444600, 1.999582992381123000,
-    1.999575124764850800,
-  1.999567183629917100, 1.999559168976613900, 1.999551080805236100,
-    1.999542919116081000,
-  1.999534683909448600, 1.999526375185641800, 1.999517992944965800,
-    1.999509537187729200,
-  1.999501007914242600, 1.999492405124819700, 1.999483728819776900,
-    1.999474978999432800,
-  1.999466155664109600, 1.999457258814131500, 1.999448288449825500,
-    1.999439244571521700,
-  1.999430127179552500, 1.999420936274252800, 1.999411671855960900,
-    1.999402333925017300,
-  1.999392922481765500, 1.999383437526551300, 1.999373879059723500,
-    1.999364247081633500,
-  1.999354541592635500, 1.999344762593086500, 1.999334910083345700,
-    1.999324984063775700,
-  1.999314984534741100, 1.999304911496609700, 1.999294764949752100,
-    1.999284544894541100,
-  1.999274251331352400, 1.999263884260564600, 1.999253443682558900,
-    1.999242929597719200,
-  1.999232342006432000, 1.999221680909086400, 1.999210946306074500,
-    1.999200138197791100,
-  1.999189256584633600, 1.999178301467001900, 1.999167272845298900,
-    1.999156170719930100,
-  1.999144995091303600, 1.999133745959830600, 1.999122423325924200,
-    1.999111027190001000,
-  1.999099557552479900, 1.999088014413782800, 1.999076397774334000,
-    1.999064707634560700,
-  1.999052943994892300, 1.999041106855761900, 1.999029196217604100,
-    1.999017212080857400,
-  1.999005154445962200, 1.998993023313361700, 1.998980818683502100,
-    1.998968540556831800,
-  1.998956188933802800, 1.998943763814868800, 1.998931265200486900,
-    1.998918693091116200,
-  1.998906047487219600, 1.998893328389261400, 1.998880535797709700,
-    1.998867669713034500,
-  1.998854730135709400, 1.998841717066209400, 1.998828630505013400,
-    1.998815470452602400,
-  1.998802236909460500, 1.998788929876074100, 1.998775549352932400,
-    1.998762095340527400,
-  1.998748567839354000, 1.998734966849909000, 1.998721292372693100,
-    1.998707544408208700,
-  1.998693722956961500, 1.998679828019459300, 1.998665859596213500,
-    1.998651817687737300,
-  1.998637702294547000, 1.998623513417161700, 1.998609251056103100,
-    1.998594915211895600,
-  1.998580505885066100, 1.998566023076144600, 1.998551466785663400,
-    1.998536837014157900,
-  1.998522133762165900, 1.998507357030227900, 1.998492506818887200,
-    1.998477583128690100,
-  1.998462585960185000, 1.998447515313923400, 1.998432371190459500,
-    1.998417153590349900,
-  1.998401862514154200, 1.998386497962434800, 1.998371059935756300,
-    1.998355548434686400,
-  1.998339963459795400, 1.998324305011656600, 1.998308573090845200,
-    1.998292767697940100,
-  1.998276888833522300, 1.998260936498175400, 1.998244910692486000,
-    1.998228811417043700,
-  1.998212638672439900, 1.998196392459269400, 1.998180072778129600,
-    1.998163679629620500,
-  1.998147213014344900, 1.998130672932908000, 1.998114059385918400,
-    1.998097372373986300,
-  1.998080611897725700, 1.998063777957752600, 1.998046870554686100,
-    1.998029889689147700,
-  1.998012835361761900, 1.997995707573155600, 1.997978506323958600,
-    1.997961231614803200,
-  1.997943883446324800, 1.997926461819161000, 1.997908966733952500,
-    1.997891398191342400,
-  1.997873756191977000, 1.997856040736504500, 1.997838251825576400,
-    1.997820389459846700,
-  1.997802453639972300, 1.997784444366612600, 1.997766361640429800,
-    1.997748205462088500,
-  1.997729975832256600, 1.997711672751604200, 1.997693296220804000,
-    1.997674846240532000,
-  1.997656322811466500, 1.997637725934288300, 1.997619055609681600,
-    1.997600311838332500,
-  1.997581494620930300, 1.997562603958166600, 1.997543639850736200,
-    1.997524602299336500,
-  1.997505491304667000, 1.997486306867430900, 1.997467048988333000,
-    1.997447717668082000,
-  1.997428312907388200, 1.997408834706965000, 1.997389283067528800,
-    1.997369657989798400,
-  1.997349959474495200, 1.997330187522343700, 1.997310342134070800,
-    1.997290423310406100,
-  1.997270431052081900, 1.997250365359833200, 1.997230226234397900,
-    1.997210013676516700,
-  1.997189727686932400, 1.997169368266390900, 1.997148935415640600,
-    1.997128429135433400,
-  1.997107849426522600, 1.997087196289665000, 1.997066469725620200,
-    1.997045669735150000,
-  1.997024796319019300, 1.997003849477995600, 1.996982829212848900,
-    1.996961735524351900,
-  1.996940568413280600, 1.996919327880412900, 1.996898013926530000,
-    1.996876626552415400,
-  1.996855165758855600, 1.996833631546639300, 1.996812023916558800,
-    1.996790342869408000,
-  1.996768588405984300, 1.996746760527087700, 1.996724859233520500,
-    1.996702884526087900,
-  1.996680836405598100, 1.996658714872861800, 1.996636519928692000,
-    1.996614251573904900,
-  1.996591909809319400, 1.996569494635756600, 1.996547006054041100,
-    1.996524444064999400,
-  1.996501808669461000, 1.996479099868258400, 1.996456317662226300,
-    1.996433462052202600,
-  1.996410533039027400, 1.996387530623543900, 1.996364454806597500,
-    1.996341305589037100,
-  1.996318082971713500, 1.996294786955480800, 1.996271417541195300,
-    1.996247974729716200,
-  1.996224458521905600, 1.996200868918628100, 1.996177205920750800,
-    1.996153469529144100,
-  1.996129659744680300, 1.996105776568235100, 1.996081820000686500,
-    1.996057790042915500,
-  1.996033686695805300, 1.996009509960242400, 1.995985259837115500,
-    1.995960936327316300,
-  1.995936539431739000, 1.995912069151280800, 1.995887525486841300,
-    1.995862908439323100,
-  1.995838218009630800, 1.995813454198672700, 1.995788617007359100,
-    1.995763706436603200,
-  1.995738722487320600, 1.995713665160430600, 1.995688534456853800,
-    1.995663330377514400,
-  1.995638052923339300, 1.995612702095257400, 1.995587277894201400,
-    1.995561780321105600,
-  1.995536209376907600, 1.995510565062547800, 1.995484847378968600,
-    1.995459056327116000,
-  1.995433191907938000, 1.995407254122385700, 1.995381242971412600,
-    1.995355158455975200,
-  1.995329000577032800, 1.995302769335546500, 1.995276464732481200,
-    1.995250086768804100,
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-    1.995143841327413400,
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-    1.995036422194304700,
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-    1.994927829432669800,
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-    1.994818063106391000,
-  1.994790438162897600, 1.994762739876662100, 1.994734968248702800,
-    1.994707123280041100,
-  1.994679204971700100, 1.994651213324707000, 1.994623148340090700,
-    1.994595010018883000,
-  1.994566798362118300, 1.994538513370834200, 1.994510155046070700,
-    1.994481723388870100,
-  1.994453218400277900, 1.994424640081342100, 1.994395988433113700,
-    1.994367263456646100,
-  1.994338465152995000, 1.994309593523219600, 1.994280648568381500,
-    1.994251630289544600,
-  1.994222538687776100, 1.994193373764145500, 1.994164135519725000,
-    1.994134823955589800,
-  1.994105439072817700, 1.994075980872488800, 1.994046449355686200,
-    1.994016844523496000,
-  1.993987166377006600, 1.993957414917308700, 1.993927590145496900,
-    1.993897692062667200,
-  1.993867720669919400, 1.993837675968354700, 1.993807557959078600,
-    1.993777366643197900,
-  1.993747102021822900, 1.993716764096066200, 1.993686352867043200,
-    1.993655868335872300,
-  1.993625310503674100, 1.993594679371572200, 1.993563974940692800,
-    1.993533197212164800,
-  1.993502346187119700, 1.993471421866692200, 1.993440424252018900,
-    1.993409353344239600,
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-    1.993284336804950900,
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-    1.993158147667842800,
-  1.993126417173840500, 1.993094613398277400, 1.993062736342323000,
-    1.993030786007148800,
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-    1.992902251897793000,
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-    1.992772545415388200,
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-    1.992106430102373400,
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-    1.991969691008174100,
-  1.991935323133897000, 1.991900882021852200, 1.991866367673306200,
-    1.991831780089527500,
-  1.991797119271788300, 1.991762385221362600, 1.991727577939527600,
-    1.991692697427563300,
-  1.991657743686751700, 1.991622716718378400, 1.991587616523731000,
-    1.991552443104099800,
-  1.991517196460778500, 1.991481876595062800, 1.991446483508251500,
-    1.991411017201645500,
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-    0.017065329181012358,
-  0.016681847633368677, 0.016298365472381587, 0.015914882712149747,
-    0.015531399366773606,
-  0.015147915450352307, 0.014764430976985016, 0.014380945960772247,
-    0.013997460415812761,
-  0.013613974356207112, 0.013230487796054543, 0.012847000749454314,
-    0.012463513230507034,
-  0.012080025253311559, 0.011696536831968529, 0.011313047980577277,
-    0.010929558713237145,
-  0.010546069044048827, 0.010162578987111254, 0.009779088556525145,
-    0.009395597766389905,
-  0.009012106630804949, 0.008628615163871038, 0.008245123379687167,
-    0.007861631292354124,
-  0.007478138915970929, 0.007094646264638386, 0.006711153352455981,
-    0.006327660193523208,
-  0.005944166801940901, 0.005560673191808128, 0.005177179377225743,
-    0.004793685372293270,
-  0.004410191191110246, 0.004026696847777542, 0.003643202356394263,
-    0.003259707731061291,
-  0.002876212985878184, 0.002492718134944503, 0.002109223192361147,
-    0.001725728172227238,
-  0.001342233088643682, 0.000958737955710053, 0.000575242787525925,
-    0.000191747598192208,
-
-};
-
-/**    
- * @brief  Initialization function for the floating-point DCT4/IDCT4.   
- * @param[in,out] *S         points to an instance of floating-point DCT4/IDCT4 structure.   
- * @param[in]     *S_RFFT    points to an instance of floating-point RFFT/RIFFT structure.   
- * @param[in]     *S_CFFT    points to an instance of floating-point CFFT/CIFFT structure.   
- * @param[in]     N			 length of the DCT4.   
- * @param[in]     Nby2       half of the length of the DCT4.   
- * @param[in]     normalize  normalizing factor.   
- * @return        arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length.   
- * \par Normalizing factor:    
- * The normalizing factor is sqrt(2/N), which depends on the size of transform N.    
- * Floating-point normalizing factors are mentioned in the table below for different DCT sizes:    
- * \image html dct4NormalizingF32Table.gif    
- */
-
-arm_status arm_dct4_init_f32(
-  arm_dct4_instance_f32 * S,
-  arm_rfft_instance_f32 * S_RFFT,
-  arm_cfft_radix4_instance_f32 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  float32_t normalize)
-{
-  /*  Initialize the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /* Initializing the pointer array with the weight table base addresses of different lengths */
-  float32_t *twiddlePtr[4] =
-    { (float32_t *) Weights_128, (float32_t *) Weights_512,
-    (float32_t *) Weights_2048, (float32_t *) Weights_8192
-  };
-
-  /* Initializing the pointer array with the cos factor table base addresses of different lengths */
-  float32_t *pCosFactor[4] =
-    { (float32_t *) cos_factors_128, (float32_t *) cos_factors_512,
-    (float32_t *) cos_factors_2048, (float32_t *) cos_factors_8192
-  };
-
-  /* Initialize the DCT4 length */
-  S->N = N;
-
-  /* Initialize the half of DCT4 length */
-  S->Nby2 = Nby2;
-
-  /* Initialize the DCT4 Normalizing factor */
-  S->normalize = normalize;
-
-  /* Initialize Real FFT Instance */
-  S->pRfft = S_RFFT;
-
-  /* Initialize Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  switch (N)
-  {
-    /* Initialize the table modifier values */
-  case 8192u:
-    S->pTwiddle = twiddlePtr[3];
-    S->pCosFactor = pCosFactor[3];
-    break;
-  case 2048u:
-    S->pTwiddle = twiddlePtr[2];
-    S->pCosFactor = pCosFactor[2];
-    break;
-  case 512u:
-    S->pTwiddle = twiddlePtr[1];
-    S->pCosFactor = pCosFactor[1];
-    break;
-  case 128u:
-    S->pTwiddle = twiddlePtr[0];
-    S->pCosFactor = pCosFactor[0];
-    break;
-  default:
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-
-  /* Initialize the RFFT/RIFFT */
-  arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0u, 1u);
-
-  /* return the status of DCT4 Init function */
-  return (status);
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q15.c
deleted file mode 100644
index 7a78aa8e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q15.c
+++ /dev/null
@@ -1,4284 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_init_q15.c    
-*    
-* Description:	Initialization function of DCT-4 & IDCT4 Q15    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/*    
-* @brief  Weights Table    
-*/
-
-/**    
-* \par    
-* Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
    
-* \par    
-* C command to generate the table    
-* 
    
-* for(i = 0; i< N; i++)    
-* {    
-*   weights[2*i]= cos(i*c);    
-*   weights[(2*i)+1]= -sin(i * c);    
-* } 
    
-* \par    
-* where N is the Number of weights to be calculated and c is pi/(2*N)    
-* \par    
-* Converted the output to q15 format by multiplying with 2^31 and saturated if required.    
-* \par    
-* In the tables below the real and imaginary values are placed alternatively, hence the    
-* array length is 2*N.    
-*/
-
-static const q15_t ALIGN4 WeightsQ15_128[256] = {
-  0x7fff, 0x0, 0x7ffd, 0xfe6e, 0x7ff6, 0xfcdc, 0x7fe9, 0xfb4a,
-  0x7fd8, 0xf9b9, 0x7fc2, 0xf827, 0x7fa7, 0xf696, 0x7f87, 0xf505,
-  0x7f62, 0xf375, 0x7f38, 0xf1e5, 0x7f09, 0xf055, 0x7ed5, 0xeec7,
-  0x7e9d, 0xed38, 0x7e5f, 0xebab, 0x7e1d, 0xea1e, 0x7dd6, 0xe893,
-  0x7d8a, 0xe708, 0x7d39, 0xe57e, 0x7ce3, 0xe3f5, 0x7c89, 0xe26d,
-  0x7c29, 0xe0e7, 0x7bc5, 0xdf61, 0x7b5d, 0xdddd, 0x7aef, 0xdc5a,
-  0x7a7d, 0xdad8, 0x7a05, 0xd958, 0x798a, 0xd7da, 0x7909, 0xd65d,
-  0x7884, 0xd4e1, 0x77fa, 0xd368, 0x776c, 0xd1ef, 0x76d9, 0xd079,
-  0x7641, 0xcf05, 0x75a5, 0xcd92, 0x7504, 0xcc22, 0x745f, 0xcab3,
-  0x73b5, 0xc946, 0x7307, 0xc7dc, 0x7255, 0xc674, 0x719e, 0xc50e,
-  0x70e2, 0xc3aa, 0x7023, 0xc248, 0x6f5f, 0xc0e9, 0x6e96, 0xbf8d,
-  0x6dca, 0xbe32, 0x6cf9, 0xbcdb, 0x6c24, 0xbb86, 0x6b4a, 0xba33,
-  0x6a6d, 0xb8e4, 0x698c, 0xb797, 0x68a6, 0xb64c, 0x67bd, 0xb505,
-  0x66cf, 0xb3c1, 0x65dd, 0xb27f, 0x64e8, 0xb141, 0x63ef, 0xb005,
-  0x62f2, 0xaecd, 0x61f1, 0xad97, 0x60ec, 0xac65, 0x5fe3, 0xab36,
-  0x5ed7, 0xaa0b, 0x5dc7, 0xa8e3, 0x5cb4, 0xa7be, 0x5b9d, 0xa69c,
-  0x5a82, 0xa57e, 0x5964, 0xa463, 0x5842, 0xa34c, 0x571d, 0xa239,
-  0x55f5, 0xa129, 0x54ca, 0xa01d, 0x539b, 0x9f14, 0x5269, 0x9e0f,
-  0x5133, 0x9d0e, 0x4ffb, 0x9c11, 0x4ebf, 0x9b18, 0x4d81, 0x9a23,
-  0x4c3f, 0x9931, 0x4afb, 0x9843, 0x49b4, 0x975a, 0x4869, 0x9674,
-  0x471c, 0x9593, 0x45cd, 0x94b6, 0x447a, 0x93dc, 0x4325, 0x9307,
-  0x41ce, 0x9236, 0x4073, 0x916a, 0x3f17, 0x90a1, 0x3db8, 0x8fdd,
-  0x3c56, 0x8f1e, 0x3af2, 0x8e62, 0x398c, 0x8dab, 0x3824, 0x8cf9,
-  0x36ba, 0x8c4b, 0x354d, 0x8ba1, 0x33de, 0x8afc, 0x326e, 0x8a5b,
-  0x30fb, 0x89bf, 0x2f87, 0x8927, 0x2e11, 0x8894, 0x2c98, 0x8806,
-  0x2b1f, 0x877c, 0x29a3, 0x86f7, 0x2826, 0x8676, 0x26a8, 0x85fb,
-  0x2528, 0x8583, 0x23a6, 0x8511, 0x2223, 0x84a3, 0x209f, 0x843b,
-  0x1f19, 0x83d7, 0x1d93, 0x8377, 0x1c0b, 0x831d, 0x1a82, 0x82c7,
-  0x18f8, 0x8276, 0x176d, 0x822a, 0x15e2, 0x81e3, 0x1455, 0x81a1,
-  0x12c8, 0x8163, 0x1139, 0x812b, 0xfab, 0x80f7, 0xe1b, 0x80c8,
-  0xc8b, 0x809e, 0xafb, 0x8079, 0x96a, 0x8059, 0x7d9, 0x803e,
-  0x647, 0x8028, 0x4b6, 0x8017, 0x324, 0x800a, 0x192, 0x8003,
-};
-
-static const q15_t ALIGN4 WeightsQ15_512[1024] = {
-  0x7fff, 0x0, 0x7fff, 0xff9c, 0x7fff, 0xff37, 0x7ffe, 0xfed3,
-  0x7ffd, 0xfe6e, 0x7ffc, 0xfe0a, 0x7ffa, 0xfda5, 0x7ff8, 0xfd41,
-  0x7ff6, 0xfcdc, 0x7ff3, 0xfc78, 0x7ff0, 0xfc13, 0x7fed, 0xfbaf,
-  0x7fe9, 0xfb4a, 0x7fe5, 0xfae6, 0x7fe1, 0xfa81, 0x7fdd, 0xfa1d,
-  0x7fd8, 0xf9b9, 0x7fd3, 0xf954, 0x7fce, 0xf8f0, 0x7fc8, 0xf88b,
-  0x7fc2, 0xf827, 0x7fbc, 0xf7c3, 0x7fb5, 0xf75e, 0x7fae, 0xf6fa,
-  0x7fa7, 0xf696, 0x7f9f, 0xf632, 0x7f97, 0xf5cd, 0x7f8f, 0xf569,
-  0x7f87, 0xf505, 0x7f7e, 0xf4a1, 0x7f75, 0xf43d, 0x7f6b, 0xf3d9,
-  0x7f62, 0xf375, 0x7f58, 0xf311, 0x7f4d, 0xf2ad, 0x7f43, 0xf249,
-  0x7f38, 0xf1e5, 0x7f2d, 0xf181, 0x7f21, 0xf11d, 0x7f15, 0xf0b9,
-  0x7f09, 0xf055, 0x7efd, 0xeff2, 0x7ef0, 0xef8e, 0x7ee3, 0xef2a,
-  0x7ed5, 0xeec7, 0x7ec8, 0xee63, 0x7eba, 0xedff, 0x7eab, 0xed9c,
-  0x7e9d, 0xed38, 0x7e8e, 0xecd5, 0x7e7f, 0xec72, 0x7e6f, 0xec0e,
-  0x7e5f, 0xebab, 0x7e4f, 0xeb48, 0x7e3f, 0xeae5, 0x7e2e, 0xea81,
-  0x7e1d, 0xea1e, 0x7e0c, 0xe9bb, 0x7dfa, 0xe958, 0x7de8, 0xe8f6,
-  0x7dd6, 0xe893, 0x7dc3, 0xe830, 0x7db0, 0xe7cd, 0x7d9d, 0xe76a,
-  0x7d8a, 0xe708, 0x7d76, 0xe6a5, 0x7d62, 0xe643, 0x7d4e, 0xe5e0,
-  0x7d39, 0xe57e, 0x7d24, 0xe51c, 0x7d0f, 0xe4b9, 0x7cf9, 0xe457,
-  0x7ce3, 0xe3f5, 0x7ccd, 0xe393, 0x7cb7, 0xe331, 0x7ca0, 0xe2cf,
-  0x7c89, 0xe26d, 0x7c71, 0xe20b, 0x7c5a, 0xe1aa, 0x7c42, 0xe148,
-  0x7c29, 0xe0e7, 0x7c11, 0xe085, 0x7bf8, 0xe024, 0x7bdf, 0xdfc2,
-  0x7bc5, 0xdf61, 0x7bac, 0xdf00, 0x7b92, 0xde9f, 0x7b77, 0xde3e,
-  0x7b5d, 0xdddd, 0x7b42, 0xdd7c, 0x7b26, 0xdd1b, 0x7b0b, 0xdcbb,
-  0x7aef, 0xdc5a, 0x7ad3, 0xdbf9, 0x7ab6, 0xdb99, 0x7a9a, 0xdb39,
-  0x7a7d, 0xdad8, 0x7a5f, 0xda78, 0x7a42, 0xda18, 0x7a24, 0xd9b8,
-  0x7a05, 0xd958, 0x79e7, 0xd8f9, 0x79c8, 0xd899, 0x79a9, 0xd839,
-  0x798a, 0xd7da, 0x796a, 0xd77a, 0x794a, 0xd71b, 0x792a, 0xd6bc,
-  0x7909, 0xd65d, 0x78e8, 0xd5fe, 0x78c7, 0xd59f, 0x78a6, 0xd540,
-  0x7884, 0xd4e1, 0x7862, 0xd483, 0x7840, 0xd424, 0x781d, 0xd3c6,
-  0x77fa, 0xd368, 0x77d7, 0xd309, 0x77b4, 0xd2ab, 0x7790, 0xd24d,
-  0x776c, 0xd1ef, 0x7747, 0xd192, 0x7723, 0xd134, 0x76fe, 0xd0d7,
-  0x76d9, 0xd079, 0x76b3, 0xd01c, 0x768e, 0xcfbf, 0x7668, 0xcf62,
-  0x7641, 0xcf05, 0x761b, 0xcea8, 0x75f4, 0xce4b, 0x75cc, 0xcdef,
-  0x75a5, 0xcd92, 0x757d, 0xcd36, 0x7555, 0xccda, 0x752d, 0xcc7e,
-  0x7504, 0xcc22, 0x74db, 0xcbc6, 0x74b2, 0xcb6a, 0x7489, 0xcb0e,
-  0x745f, 0xcab3, 0x7435, 0xca58, 0x740b, 0xc9fc, 0x73e0, 0xc9a1,
-  0x73b5, 0xc946, 0x738a, 0xc8ec, 0x735f, 0xc891, 0x7333, 0xc836,
-  0x7307, 0xc7dc, 0x72db, 0xc782, 0x72af, 0xc728, 0x7282, 0xc6ce,
-  0x7255, 0xc674, 0x7227, 0xc61a, 0x71fa, 0xc5c0, 0x71cc, 0xc567,
-  0x719e, 0xc50e, 0x716f, 0xc4b4, 0x7141, 0xc45b, 0x7112, 0xc403,
-  0x70e2, 0xc3aa, 0x70b3, 0xc351, 0x7083, 0xc2f9, 0x7053, 0xc2a0,
-  0x7023, 0xc248, 0x6ff2, 0xc1f0, 0x6fc1, 0xc198, 0x6f90, 0xc141,
-  0x6f5f, 0xc0e9, 0x6f2d, 0xc092, 0x6efb, 0xc03b, 0x6ec9, 0xbfe3,
-  0x6e96, 0xbf8d, 0x6e63, 0xbf36, 0x6e30, 0xbedf, 0x6dfd, 0xbe89,
-  0x6dca, 0xbe32, 0x6d96, 0xbddc, 0x6d62, 0xbd86, 0x6d2d, 0xbd30,
-  0x6cf9, 0xbcdb, 0x6cc4, 0xbc85, 0x6c8f, 0xbc30, 0x6c59, 0xbbdb,
-  0x6c24, 0xbb86, 0x6bee, 0xbb31, 0x6bb8, 0xbadc, 0x6b81, 0xba88,
-  0x6b4a, 0xba33, 0x6b13, 0xb9df, 0x6adc, 0xb98b, 0x6aa5, 0xb937,
-  0x6a6d, 0xb8e4, 0x6a35, 0xb890, 0x69fd, 0xb83d, 0x69c4, 0xb7ea,
-  0x698c, 0xb797, 0x6953, 0xb744, 0x6919, 0xb6f1, 0x68e0, 0xb69f,
-  0x68a6, 0xb64c, 0x686c, 0xb5fa, 0x6832, 0xb5a8, 0x67f7, 0xb557,
-  0x67bd, 0xb505, 0x6782, 0xb4b4, 0x6746, 0xb462, 0x670b, 0xb411,
-  0x66cf, 0xb3c1, 0x6693, 0xb370, 0x6657, 0xb31f, 0x661a, 0xb2cf,
-  0x65dd, 0xb27f, 0x65a0, 0xb22f, 0x6563, 0xb1df, 0x6526, 0xb190,
-  0x64e8, 0xb141, 0x64aa, 0xb0f1, 0x646c, 0xb0a2, 0x642d, 0xb054,
-  0x63ef, 0xb005, 0x63b0, 0xafb7, 0x6371, 0xaf69, 0x6331, 0xaf1b,
-  0x62f2, 0xaecd, 0x62b2, 0xae7f, 0x6271, 0xae32, 0x6231, 0xade4,
-  0x61f1, 0xad97, 0x61b0, 0xad4b, 0x616f, 0xacfe, 0x612d, 0xacb2,
-  0x60ec, 0xac65, 0x60aa, 0xac19, 0x6068, 0xabcd, 0x6026, 0xab82,
-  0x5fe3, 0xab36, 0x5fa0, 0xaaeb, 0x5f5e, 0xaaa0, 0x5f1a, 0xaa55,
-  0x5ed7, 0xaa0b, 0x5e93, 0xa9c0, 0x5e50, 0xa976, 0x5e0b, 0xa92c,
-  0x5dc7, 0xa8e3, 0x5d83, 0xa899, 0x5d3e, 0xa850, 0x5cf9, 0xa807,
-  0x5cb4, 0xa7be, 0x5c6e, 0xa775, 0x5c29, 0xa72c, 0x5be3, 0xa6e4,
-  0x5b9d, 0xa69c, 0x5b56, 0xa654, 0x5b10, 0xa60d, 0x5ac9, 0xa5c5,
-  0x5a82, 0xa57e, 0x5a3b, 0xa537, 0x59f3, 0xa4f0, 0x59ac, 0xa4aa,
-  0x5964, 0xa463, 0x591c, 0xa41d, 0x58d4, 0xa3d7, 0x588b, 0xa392,
-  0x5842, 0xa34c, 0x57f9, 0xa307, 0x57b0, 0xa2c2, 0x5767, 0xa27d,
-  0x571d, 0xa239, 0x56d4, 0xa1f5, 0x568a, 0xa1b0, 0x5640, 0xa16d,
-  0x55f5, 0xa129, 0x55ab, 0xa0e6, 0x5560, 0xa0a2, 0x5515, 0xa060,
-  0x54ca, 0xa01d, 0x547e, 0x9fda, 0x5433, 0x9f98, 0x53e7, 0x9f56,
-  0x539b, 0x9f14, 0x534e, 0x9ed3, 0x5302, 0x9e91, 0x52b5, 0x9e50,
-  0x5269, 0x9e0f, 0x521c, 0x9dcf, 0x51ce, 0x9d8f, 0x5181, 0x9d4e,
-  0x5133, 0x9d0e, 0x50e5, 0x9ccf, 0x5097, 0x9c8f, 0x5049, 0x9c50,
-  0x4ffb, 0x9c11, 0x4fac, 0x9bd3, 0x4f5e, 0x9b94, 0x4f0f, 0x9b56,
-  0x4ebf, 0x9b18, 0x4e70, 0x9ada, 0x4e21, 0x9a9d, 0x4dd1, 0x9a60,
-  0x4d81, 0x9a23, 0x4d31, 0x99e6, 0x4ce1, 0x99a9, 0x4c90, 0x996d,
-  0x4c3f, 0x9931, 0x4bef, 0x98f5, 0x4b9e, 0x98ba, 0x4b4c, 0x987e,
-  0x4afb, 0x9843, 0x4aa9, 0x9809, 0x4a58, 0x97ce, 0x4a06, 0x9794,
-  0x49b4, 0x975a, 0x4961, 0x9720, 0x490f, 0x96e7, 0x48bc, 0x96ad,
-  0x4869, 0x9674, 0x4816, 0x963c, 0x47c3, 0x9603, 0x4770, 0x95cb,
-  0x471c, 0x9593, 0x46c9, 0x955b, 0x4675, 0x9524, 0x4621, 0x94ed,
-  0x45cd, 0x94b6, 0x4578, 0x947f, 0x4524, 0x9448, 0x44cf, 0x9412,
-  0x447a, 0x93dc, 0x4425, 0x93a7, 0x43d0, 0x9371, 0x437b, 0x933c,
-  0x4325, 0x9307, 0x42d0, 0x92d3, 0x427a, 0x929e, 0x4224, 0x926a,
-  0x41ce, 0x9236, 0x4177, 0x9203, 0x4121, 0x91d0, 0x40ca, 0x919d,
-  0x4073, 0x916a, 0x401d, 0x9137, 0x3fc5, 0x9105, 0x3f6e, 0x90d3,
-  0x3f17, 0x90a1, 0x3ebf, 0x9070, 0x3e68, 0x903f, 0x3e10, 0x900e,
-  0x3db8, 0x8fdd, 0x3d60, 0x8fad, 0x3d07, 0x8f7d, 0x3caf, 0x8f4d,
-  0x3c56, 0x8f1e, 0x3bfd, 0x8eee, 0x3ba5, 0x8ebf, 0x3b4c, 0x8e91,
-  0x3af2, 0x8e62, 0x3a99, 0x8e34, 0x3a40, 0x8e06, 0x39e6, 0x8dd9,
-  0x398c, 0x8dab, 0x3932, 0x8d7e, 0x38d8, 0x8d51, 0x387e, 0x8d25,
-  0x3824, 0x8cf9, 0x37ca, 0x8ccd, 0x376f, 0x8ca1, 0x3714, 0x8c76,
-  0x36ba, 0x8c4b, 0x365f, 0x8c20, 0x3604, 0x8bf5, 0x35a8, 0x8bcb,
-  0x354d, 0x8ba1, 0x34f2, 0x8b77, 0x3496, 0x8b4e, 0x343a, 0x8b25,
-  0x33de, 0x8afc, 0x3382, 0x8ad3, 0x3326, 0x8aab, 0x32ca, 0x8a83,
-  0x326e, 0x8a5b, 0x3211, 0x8a34, 0x31b5, 0x8a0c, 0x3158, 0x89e5,
-  0x30fb, 0x89bf, 0x309e, 0x8998, 0x3041, 0x8972, 0x2fe4, 0x894d,
-  0x2f87, 0x8927, 0x2f29, 0x8902, 0x2ecc, 0x88dd, 0x2e6e, 0x88b9,
-  0x2e11, 0x8894, 0x2db3, 0x8870, 0x2d55, 0x884c, 0x2cf7, 0x8829,
-  0x2c98, 0x8806, 0x2c3a, 0x87e3, 0x2bdc, 0x87c0, 0x2b7d, 0x879e,
-  0x2b1f, 0x877c, 0x2ac0, 0x875a, 0x2a61, 0x8739, 0x2a02, 0x8718,
-  0x29a3, 0x86f7, 0x2944, 0x86d6, 0x28e5, 0x86b6, 0x2886, 0x8696,
-  0x2826, 0x8676, 0x27c7, 0x8657, 0x2767, 0x8638, 0x2707, 0x8619,
-  0x26a8, 0x85fb, 0x2648, 0x85dc, 0x25e8, 0x85be, 0x2588, 0x85a1,
-  0x2528, 0x8583, 0x24c7, 0x8566, 0x2467, 0x854a, 0x2407, 0x852d,
-  0x23a6, 0x8511, 0x2345, 0x84f5, 0x22e5, 0x84da, 0x2284, 0x84be,
-  0x2223, 0x84a3, 0x21c2, 0x8489, 0x2161, 0x846e, 0x2100, 0x8454,
-  0x209f, 0x843b, 0x203e, 0x8421, 0x1fdc, 0x8408, 0x1f7b, 0x83ef,
-  0x1f19, 0x83d7, 0x1eb8, 0x83be, 0x1e56, 0x83a6, 0x1df5, 0x838f,
-  0x1d93, 0x8377, 0x1d31, 0x8360, 0x1ccf, 0x8349, 0x1c6d, 0x8333,
-  0x1c0b, 0x831d, 0x1ba9, 0x8307, 0x1b47, 0x82f1, 0x1ae4, 0x82dc,
-  0x1a82, 0x82c7, 0x1a20, 0x82b2, 0x19bd, 0x829e, 0x195b, 0x828a,
-  0x18f8, 0x8276, 0x1896, 0x8263, 0x1833, 0x8250, 0x17d0, 0x823d,
-  0x176d, 0x822a, 0x170a, 0x8218, 0x16a8, 0x8206, 0x1645, 0x81f4,
-  0x15e2, 0x81e3, 0x157f, 0x81d2, 0x151b, 0x81c1, 0x14b8, 0x81b1,
-  0x1455, 0x81a1, 0x13f2, 0x8191, 0x138e, 0x8181, 0x132b, 0x8172,
-  0x12c8, 0x8163, 0x1264, 0x8155, 0x1201, 0x8146, 0x119d, 0x8138,
-  0x1139, 0x812b, 0x10d6, 0x811d, 0x1072, 0x8110, 0x100e, 0x8103,
-  0xfab, 0x80f7, 0xf47, 0x80eb, 0xee3, 0x80df, 0xe7f, 0x80d3,
-  0xe1b, 0x80c8, 0xdb7, 0x80bd, 0xd53, 0x80b3, 0xcef, 0x80a8,
-  0xc8b, 0x809e, 0xc27, 0x8095, 0xbc3, 0x808b, 0xb5f, 0x8082,
-  0xafb, 0x8079, 0xa97, 0x8071, 0xa33, 0x8069, 0x9ce, 0x8061,
-  0x96a, 0x8059, 0x906, 0x8052, 0x8a2, 0x804b, 0x83d, 0x8044,
-  0x7d9, 0x803e, 0x775, 0x8038, 0x710, 0x8032, 0x6ac, 0x802d,
-  0x647, 0x8028, 0x5e3, 0x8023, 0x57f, 0x801f, 0x51a, 0x801b,
-  0x4b6, 0x8017, 0x451, 0x8013, 0x3ed, 0x8010, 0x388, 0x800d,
-  0x324, 0x800a, 0x2bf, 0x8008, 0x25b, 0x8006, 0x1f6, 0x8004,
-  0x192, 0x8003, 0x12d, 0x8002, 0xc9, 0x8001, 0x64, 0x8001,
-};
-
-static const q15_t ALIGN4 WeightsQ15_2048[4096] = {
-  0x7fff, 0x0, 0x7fff, 0xffe7, 0x7fff, 0xffce, 0x7fff, 0xffb5,
-  0x7fff, 0xff9c, 0x7fff, 0xff83, 0x7fff, 0xff6a, 0x7fff, 0xff51,
-  0x7fff, 0xff37, 0x7fff, 0xff1e, 0x7fff, 0xff05, 0x7ffe, 0xfeec,
-  0x7ffe, 0xfed3, 0x7ffe, 0xfeba, 0x7ffe, 0xfea1, 0x7ffd, 0xfe88,
-  0x7ffd, 0xfe6e, 0x7ffd, 0xfe55, 0x7ffc, 0xfe3c, 0x7ffc, 0xfe23,
-  0x7ffc, 0xfe0a, 0x7ffb, 0xfdf1, 0x7ffb, 0xfdd8, 0x7ffa, 0xfdbe,
-  0x7ffa, 0xfda5, 0x7ff9, 0xfd8c, 0x7ff9, 0xfd73, 0x7ff8, 0xfd5a,
-  0x7ff8, 0xfd41, 0x7ff7, 0xfd28, 0x7ff7, 0xfd0f, 0x7ff6, 0xfcf5,
-  0x7ff6, 0xfcdc, 0x7ff5, 0xfcc3, 0x7ff4, 0xfcaa, 0x7ff4, 0xfc91,
-  0x7ff3, 0xfc78, 0x7ff2, 0xfc5f, 0x7ff2, 0xfc46, 0x7ff1, 0xfc2c,
-  0x7ff0, 0xfc13, 0x7fef, 0xfbfa, 0x7fee, 0xfbe1, 0x7fee, 0xfbc8,
-  0x7fed, 0xfbaf, 0x7fec, 0xfb96, 0x7feb, 0xfb7d, 0x7fea, 0xfb64,
-  0x7fe9, 0xfb4a, 0x7fe8, 0xfb31, 0x7fe7, 0xfb18, 0x7fe6, 0xfaff,
-  0x7fe5, 0xfae6, 0x7fe4, 0xfacd, 0x7fe3, 0xfab4, 0x7fe2, 0xfa9b,
-  0x7fe1, 0xfa81, 0x7fe0, 0xfa68, 0x7fdf, 0xfa4f, 0x7fde, 0xfa36,
-  0x7fdd, 0xfa1d, 0x7fdc, 0xfa04, 0x7fda, 0xf9eb, 0x7fd9, 0xf9d2,
-  0x7fd8, 0xf9b9, 0x7fd7, 0xf9a0, 0x7fd6, 0xf986, 0x7fd4, 0xf96d,
-  0x7fd3, 0xf954, 0x7fd2, 0xf93b, 0x7fd0, 0xf922, 0x7fcf, 0xf909,
-  0x7fce, 0xf8f0, 0x7fcc, 0xf8d7, 0x7fcb, 0xf8be, 0x7fc9, 0xf8a5,
-  0x7fc8, 0xf88b, 0x7fc6, 0xf872, 0x7fc5, 0xf859, 0x7fc3, 0xf840,
-  0x7fc2, 0xf827, 0x7fc0, 0xf80e, 0x7fbf, 0xf7f5, 0x7fbd, 0xf7dc,
-  0x7fbc, 0xf7c3, 0x7fba, 0xf7aa, 0x7fb8, 0xf791, 0x7fb7, 0xf778,
-  0x7fb5, 0xf75e, 0x7fb3, 0xf745, 0x7fb1, 0xf72c, 0x7fb0, 0xf713,
-  0x7fae, 0xf6fa, 0x7fac, 0xf6e1, 0x7faa, 0xf6c8, 0x7fa9, 0xf6af,
-  0x7fa7, 0xf696, 0x7fa5, 0xf67d, 0x7fa3, 0xf664, 0x7fa1, 0xf64b,
-  0x7f9f, 0xf632, 0x7f9d, 0xf619, 0x7f9b, 0xf600, 0x7f99, 0xf5e7,
-  0x7f97, 0xf5cd, 0x7f95, 0xf5b4, 0x7f93, 0xf59b, 0x7f91, 0xf582,
-  0x7f8f, 0xf569, 0x7f8d, 0xf550, 0x7f8b, 0xf537, 0x7f89, 0xf51e,
-  0x7f87, 0xf505, 0x7f85, 0xf4ec, 0x7f82, 0xf4d3, 0x7f80, 0xf4ba,
-  0x7f7e, 0xf4a1, 0x7f7c, 0xf488, 0x7f79, 0xf46f, 0x7f77, 0xf456,
-  0x7f75, 0xf43d, 0x7f72, 0xf424, 0x7f70, 0xf40b, 0x7f6e, 0xf3f2,
-  0x7f6b, 0xf3d9, 0x7f69, 0xf3c0, 0x7f67, 0xf3a7, 0x7f64, 0xf38e,
-  0x7f62, 0xf375, 0x7f5f, 0xf35c, 0x7f5d, 0xf343, 0x7f5a, 0xf32a,
-  0x7f58, 0xf311, 0x7f55, 0xf2f8, 0x7f53, 0xf2df, 0x7f50, 0xf2c6,
-  0x7f4d, 0xf2ad, 0x7f4b, 0xf294, 0x7f48, 0xf27b, 0x7f45, 0xf262,
-  0x7f43, 0xf249, 0x7f40, 0xf230, 0x7f3d, 0xf217, 0x7f3b, 0xf1fe,
-  0x7f38, 0xf1e5, 0x7f35, 0xf1cc, 0x7f32, 0xf1b3, 0x7f2f, 0xf19a,
-  0x7f2d, 0xf181, 0x7f2a, 0xf168, 0x7f27, 0xf14f, 0x7f24, 0xf136,
-  0x7f21, 0xf11d, 0x7f1e, 0xf104, 0x7f1b, 0xf0eb, 0x7f18, 0xf0d2,
-  0x7f15, 0xf0b9, 0x7f12, 0xf0a0, 0x7f0f, 0xf087, 0x7f0c, 0xf06e,
-  0x7f09, 0xf055, 0x7f06, 0xf03c, 0x7f03, 0xf023, 0x7f00, 0xf00b,
-  0x7efd, 0xeff2, 0x7ef9, 0xefd9, 0x7ef6, 0xefc0, 0x7ef3, 0xefa7,
-  0x7ef0, 0xef8e, 0x7eed, 0xef75, 0x7ee9, 0xef5c, 0x7ee6, 0xef43,
-  0x7ee3, 0xef2a, 0x7edf, 0xef11, 0x7edc, 0xeef8, 0x7ed9, 0xeedf,
-  0x7ed5, 0xeec7, 0x7ed2, 0xeeae, 0x7ecf, 0xee95, 0x7ecb, 0xee7c,
-  0x7ec8, 0xee63, 0x7ec4, 0xee4a, 0x7ec1, 0xee31, 0x7ebd, 0xee18,
-  0x7eba, 0xedff, 0x7eb6, 0xede7, 0x7eb3, 0xedce, 0x7eaf, 0xedb5,
-  0x7eab, 0xed9c, 0x7ea8, 0xed83, 0x7ea4, 0xed6a, 0x7ea1, 0xed51,
-  0x7e9d, 0xed38, 0x7e99, 0xed20, 0x7e95, 0xed07, 0x7e92, 0xecee,
-  0x7e8e, 0xecd5, 0x7e8a, 0xecbc, 0x7e86, 0xeca3, 0x7e83, 0xec8a,
-  0x7e7f, 0xec72, 0x7e7b, 0xec59, 0x7e77, 0xec40, 0x7e73, 0xec27,
-  0x7e6f, 0xec0e, 0x7e6b, 0xebf5, 0x7e67, 0xebdd, 0x7e63, 0xebc4,
-  0x7e5f, 0xebab, 0x7e5b, 0xeb92, 0x7e57, 0xeb79, 0x7e53, 0xeb61,
-  0x7e4f, 0xeb48, 0x7e4b, 0xeb2f, 0x7e47, 0xeb16, 0x7e43, 0xeafd,
-  0x7e3f, 0xeae5, 0x7e3b, 0xeacc, 0x7e37, 0xeab3, 0x7e32, 0xea9a,
-  0x7e2e, 0xea81, 0x7e2a, 0xea69, 0x7e26, 0xea50, 0x7e21, 0xea37,
-  0x7e1d, 0xea1e, 0x7e19, 0xea06, 0x7e14, 0xe9ed, 0x7e10, 0xe9d4,
-  0x7e0c, 0xe9bb, 0x7e07, 0xe9a3, 0x7e03, 0xe98a, 0x7dff, 0xe971,
-  0x7dfa, 0xe958, 0x7df6, 0xe940, 0x7df1, 0xe927, 0x7ded, 0xe90e,
-  0x7de8, 0xe8f6, 0x7de4, 0xe8dd, 0x7ddf, 0xe8c4, 0x7dda, 0xe8ab,
-  0x7dd6, 0xe893, 0x7dd1, 0xe87a, 0x7dcd, 0xe861, 0x7dc8, 0xe849,
-  0x7dc3, 0xe830, 0x7dbf, 0xe817, 0x7dba, 0xe7fe, 0x7db5, 0xe7e6,
-  0x7db0, 0xe7cd, 0x7dac, 0xe7b4, 0x7da7, 0xe79c, 0x7da2, 0xe783,
-  0x7d9d, 0xe76a, 0x7d98, 0xe752, 0x7d94, 0xe739, 0x7d8f, 0xe720,
-  0x7d8a, 0xe708, 0x7d85, 0xe6ef, 0x7d80, 0xe6d6, 0x7d7b, 0xe6be,
-  0x7d76, 0xe6a5, 0x7d71, 0xe68d, 0x7d6c, 0xe674, 0x7d67, 0xe65b,
-  0x7d62, 0xe643, 0x7d5d, 0xe62a, 0x7d58, 0xe611, 0x7d53, 0xe5f9,
-  0x7d4e, 0xe5e0, 0x7d49, 0xe5c8, 0x7d43, 0xe5af, 0x7d3e, 0xe596,
-  0x7d39, 0xe57e, 0x7d34, 0xe565, 0x7d2f, 0xe54d, 0x7d29, 0xe534,
-  0x7d24, 0xe51c, 0x7d1f, 0xe503, 0x7d19, 0xe4ea, 0x7d14, 0xe4d2,
-  0x7d0f, 0xe4b9, 0x7d09, 0xe4a1, 0x7d04, 0xe488, 0x7cff, 0xe470,
-  0x7cf9, 0xe457, 0x7cf4, 0xe43f, 0x7cee, 0xe426, 0x7ce9, 0xe40e,
-  0x7ce3, 0xe3f5, 0x7cde, 0xe3dc, 0x7cd8, 0xe3c4, 0x7cd3, 0xe3ab,
-  0x7ccd, 0xe393, 0x7cc8, 0xe37a, 0x7cc2, 0xe362, 0x7cbc, 0xe349,
-  0x7cb7, 0xe331, 0x7cb1, 0xe318, 0x7cab, 0xe300, 0x7ca6, 0xe2e8,
-  0x7ca0, 0xe2cf, 0x7c9a, 0xe2b7, 0x7c94, 0xe29e, 0x7c8f, 0xe286,
-  0x7c89, 0xe26d, 0x7c83, 0xe255, 0x7c7d, 0xe23c, 0x7c77, 0xe224,
-  0x7c71, 0xe20b, 0x7c6c, 0xe1f3, 0x7c66, 0xe1db, 0x7c60, 0xe1c2,
-  0x7c5a, 0xe1aa, 0x7c54, 0xe191, 0x7c4e, 0xe179, 0x7c48, 0xe160,
-  0x7c42, 0xe148, 0x7c3c, 0xe130, 0x7c36, 0xe117, 0x7c30, 0xe0ff,
-  0x7c29, 0xe0e7, 0x7c23, 0xe0ce, 0x7c1d, 0xe0b6, 0x7c17, 0xe09d,
-  0x7c11, 0xe085, 0x7c0b, 0xe06d, 0x7c05, 0xe054, 0x7bfe, 0xe03c,
-  0x7bf8, 0xe024, 0x7bf2, 0xe00b, 0x7beb, 0xdff3, 0x7be5, 0xdfdb,
-  0x7bdf, 0xdfc2, 0x7bd9, 0xdfaa, 0x7bd2, 0xdf92, 0x7bcc, 0xdf79,
-  0x7bc5, 0xdf61, 0x7bbf, 0xdf49, 0x7bb9, 0xdf30, 0x7bb2, 0xdf18,
-  0x7bac, 0xdf00, 0x7ba5, 0xdee8, 0x7b9f, 0xdecf, 0x7b98, 0xdeb7,
-  0x7b92, 0xde9f, 0x7b8b, 0xde87, 0x7b84, 0xde6e, 0x7b7e, 0xde56,
-  0x7b77, 0xde3e, 0x7b71, 0xde26, 0x7b6a, 0xde0d, 0x7b63, 0xddf5,
-  0x7b5d, 0xdddd, 0x7b56, 0xddc5, 0x7b4f, 0xddac, 0x7b48, 0xdd94,
-  0x7b42, 0xdd7c, 0x7b3b, 0xdd64, 0x7b34, 0xdd4c, 0x7b2d, 0xdd33,
-  0x7b26, 0xdd1b, 0x7b1f, 0xdd03, 0x7b19, 0xdceb, 0x7b12, 0xdcd3,
-  0x7b0b, 0xdcbb, 0x7b04, 0xdca2, 0x7afd, 0xdc8a, 0x7af6, 0xdc72,
-  0x7aef, 0xdc5a, 0x7ae8, 0xdc42, 0x7ae1, 0xdc2a, 0x7ada, 0xdc12,
-  0x7ad3, 0xdbf9, 0x7acc, 0xdbe1, 0x7ac5, 0xdbc9, 0x7abd, 0xdbb1,
-  0x7ab6, 0xdb99, 0x7aaf, 0xdb81, 0x7aa8, 0xdb69, 0x7aa1, 0xdb51,
-  0x7a9a, 0xdb39, 0x7a92, 0xdb21, 0x7a8b, 0xdb09, 0x7a84, 0xdaf1,
-  0x7a7d, 0xdad8, 0x7a75, 0xdac0, 0x7a6e, 0xdaa8, 0x7a67, 0xda90,
-  0x7a5f, 0xda78, 0x7a58, 0xda60, 0x7a50, 0xda48, 0x7a49, 0xda30,
-  0x7a42, 0xda18, 0x7a3a, 0xda00, 0x7a33, 0xd9e8, 0x7a2b, 0xd9d0,
-  0x7a24, 0xd9b8, 0x7a1c, 0xd9a0, 0x7a15, 0xd988, 0x7a0d, 0xd970,
-  0x7a05, 0xd958, 0x79fe, 0xd940, 0x79f6, 0xd928, 0x79ef, 0xd911,
-  0x79e7, 0xd8f9, 0x79df, 0xd8e1, 0x79d8, 0xd8c9, 0x79d0, 0xd8b1,
-  0x79c8, 0xd899, 0x79c0, 0xd881, 0x79b9, 0xd869, 0x79b1, 0xd851,
-  0x79a9, 0xd839, 0x79a1, 0xd821, 0x7999, 0xd80a, 0x7992, 0xd7f2,
-  0x798a, 0xd7da, 0x7982, 0xd7c2, 0x797a, 0xd7aa, 0x7972, 0xd792,
-  0x796a, 0xd77a, 0x7962, 0xd763, 0x795a, 0xd74b, 0x7952, 0xd733,
-  0x794a, 0xd71b, 0x7942, 0xd703, 0x793a, 0xd6eb, 0x7932, 0xd6d4,
-  0x792a, 0xd6bc, 0x7922, 0xd6a4, 0x7919, 0xd68c, 0x7911, 0xd675,
-  0x7909, 0xd65d, 0x7901, 0xd645, 0x78f9, 0xd62d, 0x78f1, 0xd615,
-  0x78e8, 0xd5fe, 0x78e0, 0xd5e6, 0x78d8, 0xd5ce, 0x78cf, 0xd5b7,
-  0x78c7, 0xd59f, 0x78bf, 0xd587, 0x78b6, 0xd56f, 0x78ae, 0xd558,
-  0x78a6, 0xd540, 0x789d, 0xd528, 0x7895, 0xd511, 0x788c, 0xd4f9,
-  0x7884, 0xd4e1, 0x787c, 0xd4ca, 0x7873, 0xd4b2, 0x786b, 0xd49a,
-  0x7862, 0xd483, 0x7859, 0xd46b, 0x7851, 0xd453, 0x7848, 0xd43c,
-  0x7840, 0xd424, 0x7837, 0xd40d, 0x782e, 0xd3f5, 0x7826, 0xd3dd,
-  0x781d, 0xd3c6, 0x7814, 0xd3ae, 0x780c, 0xd397, 0x7803, 0xd37f,
-  0x77fa, 0xd368, 0x77f1, 0xd350, 0x77e9, 0xd338, 0x77e0, 0xd321,
-  0x77d7, 0xd309, 0x77ce, 0xd2f2, 0x77c5, 0xd2da, 0x77bc, 0xd2c3,
-  0x77b4, 0xd2ab, 0x77ab, 0xd294, 0x77a2, 0xd27c, 0x7799, 0xd265,
-  0x7790, 0xd24d, 0x7787, 0xd236, 0x777e, 0xd21e, 0x7775, 0xd207,
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-  0x157f, 0x81d2, 0x1566, 0x81ce, 0x154d, 0x81c9, 0x1534, 0x81c5,
-  0x151b, 0x81c1, 0x1503, 0x81bd, 0x14ea, 0x81b9, 0x14d1, 0x81b5,
-  0x14b8, 0x81b1, 0x149f, 0x81ad, 0x1487, 0x81a9, 0x146e, 0x81a5,
-  0x1455, 0x81a1, 0x143c, 0x819d, 0x1423, 0x8199, 0x140b, 0x8195,
-  0x13f2, 0x8191, 0x13d9, 0x818d, 0x13c0, 0x8189, 0x13a7, 0x8185,
-  0x138e, 0x8181, 0x1376, 0x817d, 0x135d, 0x817a, 0x1344, 0x8176,
-  0x132b, 0x8172, 0x1312, 0x816e, 0x12f9, 0x816b, 0x12e0, 0x8167,
-  0x12c8, 0x8163, 0x12af, 0x815f, 0x1296, 0x815c, 0x127d, 0x8158,
-  0x1264, 0x8155, 0x124b, 0x8151, 0x1232, 0x814d, 0x1219, 0x814a,
-  0x1201, 0x8146, 0x11e8, 0x8143, 0x11cf, 0x813f, 0x11b6, 0x813c,
-  0x119d, 0x8138, 0x1184, 0x8135, 0x116b, 0x8131, 0x1152, 0x812e,
-  0x1139, 0x812b, 0x1121, 0x8127, 0x1108, 0x8124, 0x10ef, 0x8121,
-  0x10d6, 0x811d, 0x10bd, 0x811a, 0x10a4, 0x8117, 0x108b, 0x8113,
-  0x1072, 0x8110, 0x1059, 0x810d, 0x1040, 0x810a, 0x1027, 0x8107,
-  0x100e, 0x8103, 0xff5, 0x8100, 0xfdd, 0x80fd, 0xfc4, 0x80fa,
-  0xfab, 0x80f7, 0xf92, 0x80f4, 0xf79, 0x80f1, 0xf60, 0x80ee,
-  0xf47, 0x80eb, 0xf2e, 0x80e8, 0xf15, 0x80e5, 0xefc, 0x80e2,
-  0xee3, 0x80df, 0xeca, 0x80dc, 0xeb1, 0x80d9, 0xe98, 0x80d6,
-  0xe7f, 0x80d3, 0xe66, 0x80d1, 0xe4d, 0x80ce, 0xe34, 0x80cb,
-  0xe1b, 0x80c8, 0xe02, 0x80c5, 0xde9, 0x80c3, 0xdd0, 0x80c0,
-  0xdb7, 0x80bd, 0xd9e, 0x80bb, 0xd85, 0x80b8, 0xd6c, 0x80b5,
-  0xd53, 0x80b3, 0xd3a, 0x80b0, 0xd21, 0x80ad, 0xd08, 0x80ab,
-  0xcef, 0x80a8, 0xcd6, 0x80a6, 0xcbd, 0x80a3, 0xca4, 0x80a1,
-  0xc8b, 0x809e, 0xc72, 0x809c, 0xc59, 0x8099, 0xc40, 0x8097,
-  0xc27, 0x8095, 0xc0e, 0x8092, 0xbf5, 0x8090, 0xbdc, 0x808e,
-  0xbc3, 0x808b, 0xbaa, 0x8089, 0xb91, 0x8087, 0xb78, 0x8084,
-  0xb5f, 0x8082, 0xb46, 0x8080, 0xb2d, 0x807e, 0xb14, 0x807b,
-  0xafb, 0x8079, 0xae2, 0x8077, 0xac9, 0x8075, 0xab0, 0x8073,
-  0xa97, 0x8071, 0xa7e, 0x806f, 0xa65, 0x806d, 0xa4c, 0x806b,
-  0xa33, 0x8069, 0xa19, 0x8067, 0xa00, 0x8065, 0x9e7, 0x8063,
-  0x9ce, 0x8061, 0x9b5, 0x805f, 0x99c, 0x805d, 0x983, 0x805b,
-  0x96a, 0x8059, 0x951, 0x8057, 0x938, 0x8056, 0x91f, 0x8054,
-  0x906, 0x8052, 0x8ed, 0x8050, 0x8d4, 0x804f, 0x8bb, 0x804d,
-  0x8a2, 0x804b, 0x888, 0x8049, 0x86f, 0x8048, 0x856, 0x8046,
-  0x83d, 0x8044, 0x824, 0x8043, 0x80b, 0x8041, 0x7f2, 0x8040,
-  0x7d9, 0x803e, 0x7c0, 0x803d, 0x7a7, 0x803b, 0x78e, 0x803a,
-  0x775, 0x8038, 0x75b, 0x8037, 0x742, 0x8035, 0x729, 0x8034,
-  0x710, 0x8032, 0x6f7, 0x8031, 0x6de, 0x8030, 0x6c5, 0x802e,
-  0x6ac, 0x802d, 0x693, 0x802c, 0x67a, 0x802a, 0x660, 0x8029,
-  0x647, 0x8028, 0x62e, 0x8027, 0x615, 0x8026, 0x5fc, 0x8024,
-  0x5e3, 0x8023, 0x5ca, 0x8022, 0x5b1, 0x8021, 0x598, 0x8020,
-  0x57f, 0x801f, 0x565, 0x801e, 0x54c, 0x801d, 0x533, 0x801c,
-  0x51a, 0x801b, 0x501, 0x801a, 0x4e8, 0x8019, 0x4cf, 0x8018,
-  0x4b6, 0x8017, 0x49c, 0x8016, 0x483, 0x8015, 0x46a, 0x8014,
-  0x451, 0x8013, 0x438, 0x8012, 0x41f, 0x8012, 0x406, 0x8011,
-  0x3ed, 0x8010, 0x3d4, 0x800f, 0x3ba, 0x800e, 0x3a1, 0x800e,
-  0x388, 0x800d, 0x36f, 0x800c, 0x356, 0x800c, 0x33d, 0x800b,
-  0x324, 0x800a, 0x30b, 0x800a, 0x2f1, 0x8009, 0x2d8, 0x8009,
-  0x2bf, 0x8008, 0x2a6, 0x8008, 0x28d, 0x8007, 0x274, 0x8007,
-  0x25b, 0x8006, 0x242, 0x8006, 0x228, 0x8005, 0x20f, 0x8005,
-  0x1f6, 0x8004, 0x1dd, 0x8004, 0x1c4, 0x8004, 0x1ab, 0x8003,
-  0x192, 0x8003, 0x178, 0x8003, 0x15f, 0x8002, 0x146, 0x8002,
-  0x12d, 0x8002, 0x114, 0x8002, 0xfb, 0x8001, 0xe2, 0x8001,
-  0xc9, 0x8001, 0xaf, 0x8001, 0x96, 0x8001, 0x7d, 0x8001,
-  0x64, 0x8001, 0x4b, 0x8001, 0x32, 0x8001, 0x19, 0x8001,
-};
-
-static const q15_t ALIGN4 WeightsQ15_8192[16384] = {
-  0x7fff, 0x0, 0x7fff, 0xfffa, 0x7fff, 0xfff4, 0x7fff, 0xffee,
-  0x7fff, 0xffe7, 0x7fff, 0xffe1, 0x7fff, 0xffdb, 0x7fff, 0xffd5,
-  0x7fff, 0xffce, 0x7fff, 0xffc8, 0x7fff, 0xffc2, 0x7fff, 0xffbb,
-  0x7fff, 0xffb5, 0x7fff, 0xffaf, 0x7fff, 0xffa9, 0x7fff, 0xffa2,
-  0x7fff, 0xff9c, 0x7fff, 0xff96, 0x7fff, 0xff8f, 0x7fff, 0xff89,
-  0x7fff, 0xff83, 0x7fff, 0xff7d, 0x7fff, 0xff76, 0x7fff, 0xff70,
-  0x7fff, 0xff6a, 0x7fff, 0xff63, 0x7fff, 0xff5d, 0x7fff, 0xff57,
-  0x7fff, 0xff51, 0x7fff, 0xff4a, 0x7fff, 0xff44, 0x7fff, 0xff3e,
-  0x7fff, 0xff37, 0x7fff, 0xff31, 0x7fff, 0xff2b, 0x7fff, 0xff25,
-  0x7fff, 0xff1e, 0x7fff, 0xff18, 0x7fff, 0xff12, 0x7fff, 0xff0b,
-  0x7fff, 0xff05, 0x7ffe, 0xfeff, 0x7ffe, 0xfef9, 0x7ffe, 0xfef2,
-  0x7ffe, 0xfeec, 0x7ffe, 0xfee6, 0x7ffe, 0xfedf, 0x7ffe, 0xfed9,
-  0x7ffe, 0xfed3, 0x7ffe, 0xfecd, 0x7ffe, 0xfec6, 0x7ffe, 0xfec0,
-  0x7ffe, 0xfeba, 0x7ffe, 0xfeb3, 0x7ffe, 0xfead, 0x7ffe, 0xfea7,
-  0x7ffe, 0xfea1, 0x7ffe, 0xfe9a, 0x7ffd, 0xfe94, 0x7ffd, 0xfe8e,
-  0x7ffd, 0xfe88, 0x7ffd, 0xfe81, 0x7ffd, 0xfe7b, 0x7ffd, 0xfe75,
-  0x7ffd, 0xfe6e, 0x7ffd, 0xfe68, 0x7ffd, 0xfe62, 0x7ffd, 0xfe5c,
-  0x7ffd, 0xfe55, 0x7ffd, 0xfe4f, 0x7ffd, 0xfe49, 0x7ffc, 0xfe42,
-  0x7ffc, 0xfe3c, 0x7ffc, 0xfe36, 0x7ffc, 0xfe30, 0x7ffc, 0xfe29,
-  0x7ffc, 0xfe23, 0x7ffc, 0xfe1d, 0x7ffc, 0xfe16, 0x7ffc, 0xfe10,
-  0x7ffc, 0xfe0a, 0x7ffc, 0xfe04, 0x7ffb, 0xfdfd, 0x7ffb, 0xfdf7,
-  0x7ffb, 0xfdf1, 0x7ffb, 0xfdea, 0x7ffb, 0xfde4, 0x7ffb, 0xfdde,
-  0x7ffb, 0xfdd8, 0x7ffb, 0xfdd1, 0x7ffb, 0xfdcb, 0x7ffb, 0xfdc5,
-  0x7ffa, 0xfdbe, 0x7ffa, 0xfdb8, 0x7ffa, 0xfdb2, 0x7ffa, 0xfdac,
-  0x7ffa, 0xfda5, 0x7ffa, 0xfd9f, 0x7ffa, 0xfd99, 0x7ffa, 0xfd93,
-  0x7ff9, 0xfd8c, 0x7ff9, 0xfd86, 0x7ff9, 0xfd80, 0x7ff9, 0xfd79,
-  0x7ff9, 0xfd73, 0x7ff9, 0xfd6d, 0x7ff9, 0xfd67, 0x7ff9, 0xfd60,
-  0x7ff8, 0xfd5a, 0x7ff8, 0xfd54, 0x7ff8, 0xfd4d, 0x7ff8, 0xfd47,
-  0x7ff8, 0xfd41, 0x7ff8, 0xfd3b, 0x7ff8, 0xfd34, 0x7ff8, 0xfd2e,
-  0x7ff7, 0xfd28, 0x7ff7, 0xfd21, 0x7ff7, 0xfd1b, 0x7ff7, 0xfd15,
-  0x7ff7, 0xfd0f, 0x7ff7, 0xfd08, 0x7ff7, 0xfd02, 0x7ff6, 0xfcfc,
-  0x7ff6, 0xfcf5, 0x7ff6, 0xfcef, 0x7ff6, 0xfce9, 0x7ff6, 0xfce3,
-  0x7ff6, 0xfcdc, 0x7ff5, 0xfcd6, 0x7ff5, 0xfcd0, 0x7ff5, 0xfcc9,
-  0x7ff5, 0xfcc3, 0x7ff5, 0xfcbd, 0x7ff5, 0xfcb7, 0x7ff5, 0xfcb0,
-  0x7ff4, 0xfcaa, 0x7ff4, 0xfca4, 0x7ff4, 0xfc9e, 0x7ff4, 0xfc97,
-  0x7ff4, 0xfc91, 0x7ff4, 0xfc8b, 0x7ff3, 0xfc84, 0x7ff3, 0xfc7e,
-  0x7ff3, 0xfc78, 0x7ff3, 0xfc72, 0x7ff3, 0xfc6b, 0x7ff2, 0xfc65,
-  0x7ff2, 0xfc5f, 0x7ff2, 0xfc58, 0x7ff2, 0xfc52, 0x7ff2, 0xfc4c,
-  0x7ff2, 0xfc46, 0x7ff1, 0xfc3f, 0x7ff1, 0xfc39, 0x7ff1, 0xfc33,
-  0x7ff1, 0xfc2c, 0x7ff1, 0xfc26, 0x7ff0, 0xfc20, 0x7ff0, 0xfc1a,
-  0x7ff0, 0xfc13, 0x7ff0, 0xfc0d, 0x7ff0, 0xfc07, 0x7fef, 0xfc01,
-  0x7fef, 0xfbfa, 0x7fef, 0xfbf4, 0x7fef, 0xfbee, 0x7fef, 0xfbe7,
-  0x7fee, 0xfbe1, 0x7fee, 0xfbdb, 0x7fee, 0xfbd5, 0x7fee, 0xfbce,
-  0x7fee, 0xfbc8, 0x7fed, 0xfbc2, 0x7fed, 0xfbbb, 0x7fed, 0xfbb5,
-  0x7fed, 0xfbaf, 0x7fed, 0xfba9, 0x7fec, 0xfba2, 0x7fec, 0xfb9c,
-  0x7fec, 0xfb96, 0x7fec, 0xfb8f, 0x7fec, 0xfb89, 0x7feb, 0xfb83,
-  0x7feb, 0xfb7d, 0x7feb, 0xfb76, 0x7feb, 0xfb70, 0x7fea, 0xfb6a,
-  0x7fea, 0xfb64, 0x7fea, 0xfb5d, 0x7fea, 0xfb57, 0x7fea, 0xfb51,
-  0x7fe9, 0xfb4a, 0x7fe9, 0xfb44, 0x7fe9, 0xfb3e, 0x7fe9, 0xfb38,
-  0x7fe8, 0xfb31, 0x7fe8, 0xfb2b, 0x7fe8, 0xfb25, 0x7fe8, 0xfb1e,
-  0x7fe7, 0xfb18, 0x7fe7, 0xfb12, 0x7fe7, 0xfb0c, 0x7fe7, 0xfb05,
-  0x7fe6, 0xfaff, 0x7fe6, 0xfaf9, 0x7fe6, 0xfaf3, 0x7fe6, 0xfaec,
-  0x7fe5, 0xfae6, 0x7fe5, 0xfae0, 0x7fe5, 0xfad9, 0x7fe5, 0xfad3,
-  0x7fe4, 0xfacd, 0x7fe4, 0xfac7, 0x7fe4, 0xfac0, 0x7fe4, 0xfaba,
-  0x7fe3, 0xfab4, 0x7fe3, 0xfaad, 0x7fe3, 0xfaa7, 0x7fe3, 0xfaa1,
-  0x7fe2, 0xfa9b, 0x7fe2, 0xfa94, 0x7fe2, 0xfa8e, 0x7fe2, 0xfa88,
-  0x7fe1, 0xfa81, 0x7fe1, 0xfa7b, 0x7fe1, 0xfa75, 0x7fe0, 0xfa6f,
-  0x7fe0, 0xfa68, 0x7fe0, 0xfa62, 0x7fe0, 0xfa5c, 0x7fdf, 0xfa56,
-  0x7fdf, 0xfa4f, 0x7fdf, 0xfa49, 0x7fdf, 0xfa43, 0x7fde, 0xfa3c,
-  0x7fde, 0xfa36, 0x7fde, 0xfa30, 0x7fdd, 0xfa2a, 0x7fdd, 0xfa23,
-  0x7fdd, 0xfa1d, 0x7fdd, 0xfa17, 0x7fdc, 0xfa11, 0x7fdc, 0xfa0a,
-  0x7fdc, 0xfa04, 0x7fdb, 0xf9fe, 0x7fdb, 0xf9f7, 0x7fdb, 0xf9f1,
-  0x7fda, 0xf9eb, 0x7fda, 0xf9e5, 0x7fda, 0xf9de, 0x7fda, 0xf9d8,
-  0x7fd9, 0xf9d2, 0x7fd9, 0xf9cb, 0x7fd9, 0xf9c5, 0x7fd8, 0xf9bf,
-  0x7fd8, 0xf9b9, 0x7fd8, 0xf9b2, 0x7fd7, 0xf9ac, 0x7fd7, 0xf9a6,
-  0x7fd7, 0xf9a0, 0x7fd6, 0xf999, 0x7fd6, 0xf993, 0x7fd6, 0xf98d,
-  0x7fd6, 0xf986, 0x7fd5, 0xf980, 0x7fd5, 0xf97a, 0x7fd5, 0xf974,
-  0x7fd4, 0xf96d, 0x7fd4, 0xf967, 0x7fd4, 0xf961, 0x7fd3, 0xf95b,
-  0x7fd3, 0xf954, 0x7fd3, 0xf94e, 0x7fd2, 0xf948, 0x7fd2, 0xf941,
-  0x7fd2, 0xf93b, 0x7fd1, 0xf935, 0x7fd1, 0xf92f, 0x7fd1, 0xf928,
-  0x7fd0, 0xf922, 0x7fd0, 0xf91c, 0x7fd0, 0xf916, 0x7fcf, 0xf90f,
-  0x7fcf, 0xf909, 0x7fcf, 0xf903, 0x7fce, 0xf8fc, 0x7fce, 0xf8f6,
-  0x7fce, 0xf8f0, 0x7fcd, 0xf8ea, 0x7fcd, 0xf8e3, 0x7fcd, 0xf8dd,
-  0x7fcc, 0xf8d7, 0x7fcc, 0xf8d0, 0x7fcb, 0xf8ca, 0x7fcb, 0xf8c4,
-  0x7fcb, 0xf8be, 0x7fca, 0xf8b7, 0x7fca, 0xf8b1, 0x7fca, 0xf8ab,
-  0x7fc9, 0xf8a5, 0x7fc9, 0xf89e, 0x7fc9, 0xf898, 0x7fc8, 0xf892,
-  0x7fc8, 0xf88b, 0x7fc7, 0xf885, 0x7fc7, 0xf87f, 0x7fc7, 0xf879,
-  0x7fc6, 0xf872, 0x7fc6, 0xf86c, 0x7fc6, 0xf866, 0x7fc5, 0xf860,
-  0x7fc5, 0xf859, 0x7fc5, 0xf853, 0x7fc4, 0xf84d, 0x7fc4, 0xf846,
-  0x7fc3, 0xf840, 0x7fc3, 0xf83a, 0x7fc3, 0xf834, 0x7fc2, 0xf82d,
-  0x7fc2, 0xf827, 0x7fc1, 0xf821, 0x7fc1, 0xf81b, 0x7fc1, 0xf814,
-  0x7fc0, 0xf80e, 0x7fc0, 0xf808, 0x7fc0, 0xf802, 0x7fbf, 0xf7fb,
-  0x7fbf, 0xf7f5, 0x7fbe, 0xf7ef, 0x7fbe, 0xf7e8, 0x7fbe, 0xf7e2,
-  0x7fbd, 0xf7dc, 0x7fbd, 0xf7d6, 0x7fbc, 0xf7cf, 0x7fbc, 0xf7c9,
-  0x7fbc, 0xf7c3, 0x7fbb, 0xf7bd, 0x7fbb, 0xf7b6, 0x7fba, 0xf7b0,
-  0x7fba, 0xf7aa, 0x7fb9, 0xf7a3, 0x7fb9, 0xf79d, 0x7fb9, 0xf797,
-  0x7fb8, 0xf791, 0x7fb8, 0xf78a, 0x7fb7, 0xf784, 0x7fb7, 0xf77e,
-  0x7fb7, 0xf778, 0x7fb6, 0xf771, 0x7fb6, 0xf76b, 0x7fb5, 0xf765,
-  0x7fb5, 0xf75e, 0x7fb4, 0xf758, 0x7fb4, 0xf752, 0x7fb4, 0xf74c,
-  0x7fb3, 0xf745, 0x7fb3, 0xf73f, 0x7fb2, 0xf739, 0x7fb2, 0xf733,
-  0x7fb1, 0xf72c, 0x7fb1, 0xf726, 0x7fb1, 0xf720, 0x7fb0, 0xf71a,
-  0x7fb0, 0xf713, 0x7faf, 0xf70d, 0x7faf, 0xf707, 0x7fae, 0xf700,
-  0x7fae, 0xf6fa, 0x7fae, 0xf6f4, 0x7fad, 0xf6ee, 0x7fad, 0xf6e7,
-  0x7fac, 0xf6e1, 0x7fac, 0xf6db, 0x7fab, 0xf6d5, 0x7fab, 0xf6ce,
-  0x7faa, 0xf6c8, 0x7faa, 0xf6c2, 0x7fa9, 0xf6bc, 0x7fa9, 0xf6b5,
-  0x7fa9, 0xf6af, 0x7fa8, 0xf6a9, 0x7fa8, 0xf6a2, 0x7fa7, 0xf69c,
-  0x7fa7, 0xf696, 0x7fa6, 0xf690, 0x7fa6, 0xf689, 0x7fa5, 0xf683,
-  0x7fa5, 0xf67d, 0x7fa4, 0xf677, 0x7fa4, 0xf670, 0x7fa3, 0xf66a,
-  0x7fa3, 0xf664, 0x7fa3, 0xf65e, 0x7fa2, 0xf657, 0x7fa2, 0xf651,
-  0x7fa1, 0xf64b, 0x7fa1, 0xf644, 0x7fa0, 0xf63e, 0x7fa0, 0xf638,
-  0x7f9f, 0xf632, 0x7f9f, 0xf62b, 0x7f9e, 0xf625, 0x7f9e, 0xf61f,
-  0x7f9d, 0xf619, 0x7f9d, 0xf612, 0x7f9c, 0xf60c, 0x7f9c, 0xf606,
-  0x7f9b, 0xf600, 0x7f9b, 0xf5f9, 0x7f9a, 0xf5f3, 0x7f9a, 0xf5ed,
-  0x7f99, 0xf5e7, 0x7f99, 0xf5e0, 0x7f98, 0xf5da, 0x7f98, 0xf5d4,
-  0x7f97, 0xf5cd, 0x7f97, 0xf5c7, 0x7f96, 0xf5c1, 0x7f96, 0xf5bb,
-  0x7f95, 0xf5b4, 0x7f95, 0xf5ae, 0x7f94, 0xf5a8, 0x7f94, 0xf5a2,
-  0x7f93, 0xf59b, 0x7f93, 0xf595, 0x7f92, 0xf58f, 0x7f92, 0xf589,
-  0x7f91, 0xf582, 0x7f91, 0xf57c, 0x7f90, 0xf576, 0x7f90, 0xf570,
-  0x7f8f, 0xf569, 0x7f8f, 0xf563, 0x7f8e, 0xf55d, 0x7f8e, 0xf556,
-  0x7f8d, 0xf550, 0x7f8d, 0xf54a, 0x7f8c, 0xf544, 0x7f8b, 0xf53d,
-  0x7f8b, 0xf537, 0x7f8a, 0xf531, 0x7f8a, 0xf52b, 0x7f89, 0xf524,
-  0x7f89, 0xf51e, 0x7f88, 0xf518, 0x7f88, 0xf512, 0x7f87, 0xf50b,
-  0x7f87, 0xf505, 0x7f86, 0xf4ff, 0x7f86, 0xf4f9, 0x7f85, 0xf4f2,
-  0x7f85, 0xf4ec, 0x7f84, 0xf4e6, 0x7f83, 0xf4e0, 0x7f83, 0xf4d9,
-  0x7f82, 0xf4d3, 0x7f82, 0xf4cd, 0x7f81, 0xf4c6, 0x7f81, 0xf4c0,
-  0x7f80, 0xf4ba, 0x7f80, 0xf4b4, 0x7f7f, 0xf4ad, 0x7f7e, 0xf4a7,
-  0x7f7e, 0xf4a1, 0x7f7d, 0xf49b, 0x7f7d, 0xf494, 0x7f7c, 0xf48e,
-  0x7f7c, 0xf488, 0x7f7b, 0xf482, 0x7f7b, 0xf47b, 0x7f7a, 0xf475,
-  0x7f79, 0xf46f, 0x7f79, 0xf469, 0x7f78, 0xf462, 0x7f78, 0xf45c,
-  0x7f77, 0xf456, 0x7f77, 0xf450, 0x7f76, 0xf449, 0x7f75, 0xf443,
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-  0x7d0f, 0xe4b9, 0x7d0d, 0xe4b3, 0x7d0c, 0xe4ad, 0x7d0b, 0xe4a7,
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-  0x7bf8, 0xe024, 0x7bf6, 0xe01e, 0x7bf5, 0xe017, 0x7bf3, 0xe011,
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-  0x7922, 0xd6a4, 0x7920, 0xd69e, 0x791e, 0xd698, 0x791c, 0xd692,
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-  0x7911, 0xd675, 0x790f, 0xd66f, 0x790d, 0xd669, 0x790b, 0xd663,
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-  0x78f9, 0xd62d, 0x78f7, 0xd627, 0x78f5, 0xd621, 0x78f3, 0xd61b,
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-  0x78e0, 0xd5e6, 0x78de, 0xd5e0, 0x78dc, 0xd5da, 0x78da, 0xd5d4,
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-  0x78cf, 0xd5b7, 0x78cd, 0xd5b1, 0x78cb, 0xd5ab, 0x78c9, 0xd5a5,
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-  0x78bf, 0xd587, 0x78bd, 0xd581, 0x78bb, 0xd57b, 0x78b9, 0xd575,
-  0x78b6, 0xd56f, 0x78b4, 0xd569, 0x78b2, 0xd564, 0x78b0, 0xd55e,
-  0x78ae, 0xd558, 0x78ac, 0xd552, 0x78aa, 0xd54c, 0x78a8, 0xd546,
-  0x78a6, 0xd540, 0x78a4, 0xd53a, 0x78a2, 0xd534, 0x789f, 0xd52e,
-  0x789d, 0xd528, 0x789b, 0xd522, 0x7899, 0xd51c, 0x7897, 0xd517,
-  0x7895, 0xd511, 0x7893, 0xd50b, 0x7891, 0xd505, 0x788f, 0xd4ff,
-  0x788c, 0xd4f9, 0x788a, 0xd4f3, 0x7888, 0xd4ed, 0x7886, 0xd4e7,
-  0x7884, 0xd4e1, 0x7882, 0xd4db, 0x7880, 0xd4d5, 0x787e, 0xd4d0,
-  0x787c, 0xd4ca, 0x7879, 0xd4c4, 0x7877, 0xd4be, 0x7875, 0xd4b8,
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-  0x5dd8, 0xa8f5, 0x5dd4, 0xa8f0, 0x5dd0, 0xa8ec, 0x5dcb, 0xa8e7,
-  0x5dc7, 0xa8e3, 0x5dc3, 0xa8de, 0x5dbf, 0xa8d9, 0x5dba, 0xa8d5,
-  0x5db6, 0xa8d0, 0x5db2, 0xa8cc, 0x5dad, 0xa8c7, 0x5da9, 0xa8c2,
-  0x5da5, 0xa8be, 0x5da1, 0xa8b9, 0x5d9c, 0xa8b5, 0x5d98, 0xa8b0,
-  0x5d94, 0xa8ab, 0x5d8f, 0xa8a7, 0x5d8b, 0xa8a2, 0x5d87, 0xa89e,
-  0x5d83, 0xa899, 0x5d7e, 0xa894, 0x5d7a, 0xa890, 0x5d76, 0xa88b,
-  0x5d71, 0xa887, 0x5d6d, 0xa882, 0x5d69, 0xa87d, 0x5d65, 0xa879,
-  0x5d60, 0xa874, 0x5d5c, 0xa870, 0x5d58, 0xa86b, 0x5d53, 0xa867,
-  0x5d4f, 0xa862, 0x5d4b, 0xa85d, 0x5d46, 0xa859, 0x5d42, 0xa854,
-  0x5d3e, 0xa850, 0x5d3a, 0xa84b, 0x5d35, 0xa847, 0x5d31, 0xa842,
-  0x5d2d, 0xa83d, 0x5d28, 0xa839, 0x5d24, 0xa834, 0x5d20, 0xa830,
-  0x5d1b, 0xa82b, 0x5d17, 0xa827, 0x5d13, 0xa822, 0x5d0e, 0xa81d,
-  0x5d0a, 0xa819, 0x5d06, 0xa814, 0x5d01, 0xa810, 0x5cfd, 0xa80b,
-  0x5cf9, 0xa807, 0x5cf5, 0xa802, 0x5cf0, 0xa7fd, 0x5cec, 0xa7f9,
-  0x5ce8, 0xa7f4, 0x5ce3, 0xa7f0, 0x5cdf, 0xa7eb, 0x5cdb, 0xa7e7,
-  0x5cd6, 0xa7e2, 0x5cd2, 0xa7de, 0x5cce, 0xa7d9, 0x5cc9, 0xa7d4,
-  0x5cc5, 0xa7d0, 0x5cc1, 0xa7cb, 0x5cbc, 0xa7c7, 0x5cb8, 0xa7c2,
-  0x5cb4, 0xa7be, 0x5caf, 0xa7b9, 0x5cab, 0xa7b5, 0x5ca7, 0xa7b0,
-  0x5ca2, 0xa7ab, 0x5c9e, 0xa7a7, 0x5c9a, 0xa7a2, 0x5c95, 0xa79e,
-  0x5c91, 0xa799, 0x5c8d, 0xa795, 0x5c88, 0xa790, 0x5c84, 0xa78c,
-  0x5c80, 0xa787, 0x5c7b, 0xa783, 0x5c77, 0xa77e, 0x5c73, 0xa779,
-  0x5c6e, 0xa775, 0x5c6a, 0xa770, 0x5c66, 0xa76c, 0x5c61, 0xa767,
-  0x5c5d, 0xa763, 0x5c58, 0xa75e, 0x5c54, 0xa75a, 0x5c50, 0xa755,
-  0x5c4b, 0xa751, 0x5c47, 0xa74c, 0x5c43, 0xa748, 0x5c3e, 0xa743,
-  0x5c3a, 0xa73f, 0x5c36, 0xa73a, 0x5c31, 0xa735, 0x5c2d, 0xa731,
-  0x5c29, 0xa72c, 0x5c24, 0xa728, 0x5c20, 0xa723, 0x5c1b, 0xa71f,
-  0x5c17, 0xa71a, 0x5c13, 0xa716, 0x5c0e, 0xa711, 0x5c0a, 0xa70d,
-  0x5c06, 0xa708, 0x5c01, 0xa704, 0x5bfd, 0xa6ff, 0x5bf9, 0xa6fb,
-  0x5bf4, 0xa6f6, 0x5bf0, 0xa6f2, 0x5beb, 0xa6ed, 0x5be7, 0xa6e9,
-  0x5be3, 0xa6e4, 0x5bde, 0xa6e0, 0x5bda, 0xa6db, 0x5bd6, 0xa6d7,
-  0x5bd1, 0xa6d2, 0x5bcd, 0xa6ce, 0x5bc8, 0xa6c9, 0x5bc4, 0xa6c5,
-  0x5bc0, 0xa6c0, 0x5bbb, 0xa6bc, 0x5bb7, 0xa6b7, 0x5bb2, 0xa6b3,
-  0x5bae, 0xa6ae, 0x5baa, 0xa6aa, 0x5ba5, 0xa6a5, 0x5ba1, 0xa6a1,
-  0x5b9d, 0xa69c, 0x5b98, 0xa698, 0x5b94, 0xa693, 0x5b8f, 0xa68f,
-  0x5b8b, 0xa68a, 0x5b87, 0xa686, 0x5b82, 0xa681, 0x5b7e, 0xa67d,
-  0x5b79, 0xa678, 0x5b75, 0xa674, 0x5b71, 0xa66f, 0x5b6c, 0xa66b,
-  0x5b68, 0xa666, 0x5b63, 0xa662, 0x5b5f, 0xa65d, 0x5b5b, 0xa659,
-  0x5b56, 0xa654, 0x5b52, 0xa650, 0x5b4d, 0xa64b, 0x5b49, 0xa647,
-  0x5b45, 0xa642, 0x5b40, 0xa63e, 0x5b3c, 0xa639, 0x5b37, 0xa635,
-  0x5b33, 0xa630, 0x5b2f, 0xa62c, 0x5b2a, 0xa627, 0x5b26, 0xa623,
-  0x5b21, 0xa61f, 0x5b1d, 0xa61a, 0x5b19, 0xa616, 0x5b14, 0xa611,
-  0x5b10, 0xa60d, 0x5b0b, 0xa608, 0x5b07, 0xa604, 0x5b02, 0xa5ff,
-  0x5afe, 0xa5fb, 0x5afa, 0xa5f6, 0x5af5, 0xa5f2, 0x5af1, 0xa5ed,
-  0x5aec, 0xa5e9, 0x5ae8, 0xa5e4, 0x5ae4, 0xa5e0, 0x5adf, 0xa5dc,
-  0x5adb, 0xa5d7, 0x5ad6, 0xa5d3, 0x5ad2, 0xa5ce, 0x5acd, 0xa5ca,
-  0x5ac9, 0xa5c5, 0x5ac5, 0xa5c1, 0x5ac0, 0xa5bc, 0x5abc, 0xa5b8,
-  0x5ab7, 0xa5b3, 0x5ab3, 0xa5af, 0x5aae, 0xa5aa, 0x5aaa, 0xa5a6,
-  0x5aa5, 0xa5a2, 0x5aa1, 0xa59d, 0x5a9d, 0xa599, 0x5a98, 0xa594,
-  0x5a94, 0xa590, 0x5a8f, 0xa58b, 0x5a8b, 0xa587, 0x5a86, 0xa582,
-  0x5a82, 0xa57e, 0x5a7e, 0xa57a, 0x5a79, 0xa575, 0x5a75, 0xa571,
-  0x5a70, 0xa56c, 0x5a6c, 0xa568, 0x5a67, 0xa563, 0x5a63, 0xa55f,
-  0x5a5e, 0xa55b, 0x5a5a, 0xa556, 0x5a56, 0xa552, 0x5a51, 0xa54d,
-  0x5a4d, 0xa549, 0x5a48, 0xa544, 0x5a44, 0xa540, 0x5a3f, 0xa53b,
-  0x5a3b, 0xa537, 0x5a36, 0xa533, 0x5a32, 0xa52e, 0x5a2d, 0xa52a,
-  0x5a29, 0xa525, 0x5a24, 0xa521, 0x5a20, 0xa51c, 0x5a1c, 0xa518,
-  0x5a17, 0xa514, 0x5a13, 0xa50f, 0x5a0e, 0xa50b, 0x5a0a, 0xa506,
-  0x5a05, 0xa502, 0x5a01, 0xa4fe, 0x59fc, 0xa4f9, 0x59f8, 0xa4f5,
-  0x59f3, 0xa4f0, 0x59ef, 0xa4ec, 0x59ea, 0xa4e7, 0x59e6, 0xa4e3,
-  0x59e1, 0xa4df, 0x59dd, 0xa4da, 0x59d9, 0xa4d6, 0x59d4, 0xa4d1,
-  0x59d0, 0xa4cd, 0x59cb, 0xa4c9, 0x59c7, 0xa4c4, 0x59c2, 0xa4c0,
-  0x59be, 0xa4bb, 0x59b9, 0xa4b7, 0x59b5, 0xa4b3, 0x59b0, 0xa4ae,
-  0x59ac, 0xa4aa, 0x59a7, 0xa4a5, 0x59a3, 0xa4a1, 0x599e, 0xa49d,
-  0x599a, 0xa498, 0x5995, 0xa494, 0x5991, 0xa48f, 0x598c, 0xa48b,
-  0x5988, 0xa487, 0x5983, 0xa482, 0x597f, 0xa47e, 0x597a, 0xa479,
-  0x5976, 0xa475, 0x5971, 0xa471, 0x596d, 0xa46c, 0x5968, 0xa468,
-  0x5964, 0xa463, 0x595f, 0xa45f, 0x595b, 0xa45b, 0x5956, 0xa456,
-  0x5952, 0xa452, 0x594d, 0xa44e, 0x5949, 0xa449, 0x5944, 0xa445,
-  0x5940, 0xa440, 0x593b, 0xa43c, 0x5937, 0xa438, 0x5932, 0xa433,
-  0x592e, 0xa42f, 0x5929, 0xa42a, 0x5925, 0xa426, 0x5920, 0xa422,
-  0x591c, 0xa41d, 0x5917, 0xa419, 0x5913, 0xa415, 0x590e, 0xa410,
-  0x590a, 0xa40c, 0x5905, 0xa407, 0x5901, 0xa403, 0x58fc, 0xa3ff,
-  0x58f8, 0xa3fa, 0x58f3, 0xa3f6, 0x58ef, 0xa3f2, 0x58ea, 0xa3ed,
-  0x58e6, 0xa3e9, 0x58e1, 0xa3e5, 0x58dd, 0xa3e0, 0x58d8, 0xa3dc,
-  0x58d4, 0xa3d7, 0x58cf, 0xa3d3, 0x58cb, 0xa3cf, 0x58c6, 0xa3ca,
-  0x58c1, 0xa3c6, 0x58bd, 0xa3c2, 0x58b8, 0xa3bd, 0x58b4, 0xa3b9,
-  0x58af, 0xa3b5, 0x58ab, 0xa3b0, 0x58a6, 0xa3ac, 0x58a2, 0xa3a8,
-  0x589d, 0xa3a3, 0x5899, 0xa39f, 0x5894, 0xa39a, 0x5890, 0xa396,
-  0x588b, 0xa392, 0x5887, 0xa38d, 0x5882, 0xa389, 0x587d, 0xa385,
-  0x5879, 0xa380, 0x5874, 0xa37c, 0x5870, 0xa378, 0x586b, 0xa373,
-  0x5867, 0xa36f, 0x5862, 0xa36b, 0x585e, 0xa366, 0x5859, 0xa362,
-  0x5855, 0xa35e, 0x5850, 0xa359, 0x584b, 0xa355, 0x5847, 0xa351,
-  0x5842, 0xa34c, 0x583e, 0xa348, 0x5839, 0xa344, 0x5835, 0xa33f,
-  0x5830, 0xa33b, 0x582c, 0xa337, 0x5827, 0xa332, 0x5822, 0xa32e,
-  0x581e, 0xa32a, 0x5819, 0xa325, 0x5815, 0xa321, 0x5810, 0xa31d,
-  0x580c, 0xa318, 0x5807, 0xa314, 0x5803, 0xa310, 0x57fe, 0xa30b,
-  0x57f9, 0xa307, 0x57f5, 0xa303, 0x57f0, 0xa2ff, 0x57ec, 0xa2fa,
-  0x57e7, 0xa2f6, 0x57e3, 0xa2f2, 0x57de, 0xa2ed, 0x57d9, 0xa2e9,
-  0x57d5, 0xa2e5, 0x57d0, 0xa2e0, 0x57cc, 0xa2dc, 0x57c7, 0xa2d8,
-  0x57c3, 0xa2d3, 0x57be, 0xa2cf, 0x57b9, 0xa2cb, 0x57b5, 0xa2c6,
-  0x57b0, 0xa2c2, 0x57ac, 0xa2be, 0x57a7, 0xa2ba, 0x57a3, 0xa2b5,
-  0x579e, 0xa2b1, 0x5799, 0xa2ad, 0x5795, 0xa2a8, 0x5790, 0xa2a4,
-  0x578c, 0xa2a0, 0x5787, 0xa29b, 0x5783, 0xa297, 0x577e, 0xa293,
-  0x5779, 0xa28f, 0x5775, 0xa28a, 0x5770, 0xa286, 0x576c, 0xa282,
-  0x5767, 0xa27d, 0x5762, 0xa279, 0x575e, 0xa275, 0x5759, 0xa271,
-  0x5755, 0xa26c, 0x5750, 0xa268, 0x574b, 0xa264, 0x5747, 0xa25f,
-  0x5742, 0xa25b, 0x573e, 0xa257, 0x5739, 0xa253, 0x5734, 0xa24e,
-  0x5730, 0xa24a, 0x572b, 0xa246, 0x5727, 0xa241, 0x5722, 0xa23d,
-  0x571d, 0xa239, 0x5719, 0xa235, 0x5714, 0xa230, 0x5710, 0xa22c,
-  0x570b, 0xa228, 0x5706, 0xa224, 0x5702, 0xa21f, 0x56fd, 0xa21b,
-  0x56f9, 0xa217, 0x56f4, 0xa212, 0x56ef, 0xa20e, 0x56eb, 0xa20a,
-  0x56e6, 0xa206, 0x56e2, 0xa201, 0x56dd, 0xa1fd, 0x56d8, 0xa1f9,
-  0x56d4, 0xa1f5, 0x56cf, 0xa1f0, 0x56ca, 0xa1ec, 0x56c6, 0xa1e8,
-  0x56c1, 0xa1e4, 0x56bd, 0xa1df, 0x56b8, 0xa1db, 0x56b3, 0xa1d7,
-  0x56af, 0xa1d3, 0x56aa, 0xa1ce, 0x56a5, 0xa1ca, 0x56a1, 0xa1c6,
-  0x569c, 0xa1c1, 0x5698, 0xa1bd, 0x5693, 0xa1b9, 0x568e, 0xa1b5,
-  0x568a, 0xa1b0, 0x5685, 0xa1ac, 0x5680, 0xa1a8, 0x567c, 0xa1a4,
-  0x5677, 0xa1a0, 0x5673, 0xa19b, 0x566e, 0xa197, 0x5669, 0xa193,
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-  0x5652, 0xa17e, 0x564d, 0xa179, 0x5649, 0xa175, 0x5644, 0xa171,
-  0x5640, 0xa16d, 0x563b, 0xa168, 0x5636, 0xa164, 0x5632, 0xa160,
-  0x562d, 0xa15c, 0x5628, 0xa157, 0x5624, 0xa153, 0x561f, 0xa14f,
-  0x561a, 0xa14b, 0x5616, 0xa147, 0x5611, 0xa142, 0x560c, 0xa13e,
-  0x5608, 0xa13a, 0x5603, 0xa136, 0x55fe, 0xa131, 0x55fa, 0xa12d,
-  0x55f5, 0xa129, 0x55f0, 0xa125, 0x55ec, 0xa121, 0x55e7, 0xa11c,
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-  0x55bd, 0xa0f6, 0x55b9, 0xa0f2, 0x55b4, 0xa0ee, 0x55af, 0xa0ea,
-  0x55ab, 0xa0e6, 0x55a6, 0xa0e1, 0x55a1, 0xa0dd, 0x559d, 0xa0d9,
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-  0x5585, 0xa0c4, 0x5581, 0xa0c0, 0x557c, 0xa0bc, 0x5577, 0xa0b7,
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-  0x5560, 0xa0a2, 0x555b, 0xa09e, 0x5556, 0xa09a, 0x5552, 0xa096,
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-  0x54b7, 0xa00c, 0x54b2, 0xa008, 0x54ad, 0xa004, 0x54a9, 0xa000,
-  0x54a4, 0x9ffc, 0x549f, 0x9ff7, 0x549a, 0x9ff3, 0x5496, 0x9fef,
-  0x5491, 0x9feb, 0x548c, 0x9fe7, 0x5488, 0x9fe3, 0x5483, 0x9fde,
-  0x547e, 0x9fda, 0x5479, 0x9fd6, 0x5475, 0x9fd2, 0x5470, 0x9fce,
-  0x546b, 0x9fca, 0x5467, 0x9fc6, 0x5462, 0x9fc1, 0x545d, 0x9fbd,
-  0x5458, 0x9fb9, 0x5454, 0x9fb5, 0x544f, 0x9fb1, 0x544a, 0x9fad,
-  0x5445, 0x9fa9, 0x5441, 0x9fa4, 0x543c, 0x9fa0, 0x5437, 0x9f9c,
-  0x5433, 0x9f98, 0x542e, 0x9f94, 0x5429, 0x9f90, 0x5424, 0x9f8c,
-  0x5420, 0x9f88, 0x541b, 0x9f83, 0x5416, 0x9f7f, 0x5411, 0x9f7b,
-  0x540d, 0x9f77, 0x5408, 0x9f73, 0x5403, 0x9f6f, 0x53fe, 0x9f6b,
-  0x53fa, 0x9f67, 0x53f5, 0x9f62, 0x53f0, 0x9f5e, 0x53eb, 0x9f5a,
-  0x53e7, 0x9f56, 0x53e2, 0x9f52, 0x53dd, 0x9f4e, 0x53d8, 0x9f4a,
-  0x53d4, 0x9f46, 0x53cf, 0x9f41, 0x53ca, 0x9f3d, 0x53c5, 0x9f39,
-  0x53c1, 0x9f35, 0x53bc, 0x9f31, 0x53b7, 0x9f2d, 0x53b2, 0x9f29,
-  0x53ae, 0x9f25, 0x53a9, 0x9f21, 0x53a4, 0x9f1c, 0x539f, 0x9f18,
-  0x539b, 0x9f14, 0x5396, 0x9f10, 0x5391, 0x9f0c, 0x538c, 0x9f08,
-  0x5388, 0x9f04, 0x5383, 0x9f00, 0x537e, 0x9efc, 0x5379, 0x9ef8,
-  0x5375, 0x9ef3, 0x5370, 0x9eef, 0x536b, 0x9eeb, 0x5366, 0x9ee7,
-  0x5362, 0x9ee3, 0x535d, 0x9edf, 0x5358, 0x9edb, 0x5353, 0x9ed7,
-  0x534e, 0x9ed3, 0x534a, 0x9ecf, 0x5345, 0x9ecb, 0x5340, 0x9ec6,
-  0x533b, 0x9ec2, 0x5337, 0x9ebe, 0x5332, 0x9eba, 0x532d, 0x9eb6,
-  0x5328, 0x9eb2, 0x5323, 0x9eae, 0x531f, 0x9eaa, 0x531a, 0x9ea6,
-  0x5315, 0x9ea2, 0x5310, 0x9e9e, 0x530c, 0x9e9a, 0x5307, 0x9e95,
-  0x5302, 0x9e91, 0x52fd, 0x9e8d, 0x52f8, 0x9e89, 0x52f4, 0x9e85,
-  0x52ef, 0x9e81, 0x52ea, 0x9e7d, 0x52e5, 0x9e79, 0x52e1, 0x9e75,
-  0x52dc, 0x9e71, 0x52d7, 0x9e6d, 0x52d2, 0x9e69, 0x52cd, 0x9e65,
-  0x52c9, 0x9e61, 0x52c4, 0x9e5d, 0x52bf, 0x9e58, 0x52ba, 0x9e54,
-  0x52b5, 0x9e50, 0x52b1, 0x9e4c, 0x52ac, 0x9e48, 0x52a7, 0x9e44,
-  0x52a2, 0x9e40, 0x529d, 0x9e3c, 0x5299, 0x9e38, 0x5294, 0x9e34,
-  0x528f, 0x9e30, 0x528a, 0x9e2c, 0x5285, 0x9e28, 0x5281, 0x9e24,
-  0x527c, 0x9e20, 0x5277, 0x9e1c, 0x5272, 0x9e18, 0x526d, 0x9e14,
-  0x5269, 0x9e0f, 0x5264, 0x9e0b, 0x525f, 0x9e07, 0x525a, 0x9e03,
-  0x5255, 0x9dff, 0x5251, 0x9dfb, 0x524c, 0x9df7, 0x5247, 0x9df3,
-  0x5242, 0x9def, 0x523d, 0x9deb, 0x5238, 0x9de7, 0x5234, 0x9de3,
-  0x522f, 0x9ddf, 0x522a, 0x9ddb, 0x5225, 0x9dd7, 0x5220, 0x9dd3,
-  0x521c, 0x9dcf, 0x5217, 0x9dcb, 0x5212, 0x9dc7, 0x520d, 0x9dc3,
-  0x5208, 0x9dbf, 0x5203, 0x9dbb, 0x51ff, 0x9db7, 0x51fa, 0x9db3,
-  0x51f5, 0x9daf, 0x51f0, 0x9dab, 0x51eb, 0x9da7, 0x51e6, 0x9da3,
-  0x51e2, 0x9d9f, 0x51dd, 0x9d9b, 0x51d8, 0x9d97, 0x51d3, 0x9d93,
-  0x51ce, 0x9d8f, 0x51c9, 0x9d8b, 0x51c5, 0x9d86, 0x51c0, 0x9d82,
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-  0x615, 0x8026, 0x60f, 0x8025, 0x609, 0x8025, 0x602, 0x8025,
-  0x5fc, 0x8024, 0x5f6, 0x8024, 0x5ef, 0x8024, 0x5e9, 0x8023,
-  0x5e3, 0x8023, 0x5dd, 0x8023, 0x5d6, 0x8023, 0x5d0, 0x8022,
-  0x5ca, 0x8022, 0x5c4, 0x8022, 0x5bd, 0x8021, 0x5b7, 0x8021,
-  0x5b1, 0x8021, 0x5aa, 0x8021, 0x5a4, 0x8020, 0x59e, 0x8020,
-  0x598, 0x8020, 0x591, 0x8020, 0x58b, 0x801f, 0x585, 0x801f,
-  0x57f, 0x801f, 0x578, 0x801e, 0x572, 0x801e, 0x56c, 0x801e,
-  0x565, 0x801e, 0x55f, 0x801d, 0x559, 0x801d, 0x553, 0x801d,
-  0x54c, 0x801d, 0x546, 0x801c, 0x540, 0x801c, 0x539, 0x801c,
-  0x533, 0x801c, 0x52d, 0x801b, 0x527, 0x801b, 0x520, 0x801b,
-  0x51a, 0x801b, 0x514, 0x801a, 0x50d, 0x801a, 0x507, 0x801a,
-  0x501, 0x801a, 0x4fb, 0x8019, 0x4f4, 0x8019, 0x4ee, 0x8019,
-  0x4e8, 0x8019, 0x4e2, 0x8018, 0x4db, 0x8018, 0x4d5, 0x8018,
-  0x4cf, 0x8018, 0x4c8, 0x8017, 0x4c2, 0x8017, 0x4bc, 0x8017,
-  0x4b6, 0x8017, 0x4af, 0x8016, 0x4a9, 0x8016, 0x4a3, 0x8016,
-  0x49c, 0x8016, 0x496, 0x8016, 0x490, 0x8015, 0x48a, 0x8015,
-  0x483, 0x8015, 0x47d, 0x8015, 0x477, 0x8014, 0x471, 0x8014,
-  0x46a, 0x8014, 0x464, 0x8014, 0x45e, 0x8014, 0x457, 0x8013,
-  0x451, 0x8013, 0x44b, 0x8013, 0x445, 0x8013, 0x43e, 0x8013,
-  0x438, 0x8012, 0x432, 0x8012, 0x42b, 0x8012, 0x425, 0x8012,
-  0x41f, 0x8012, 0x419, 0x8011, 0x412, 0x8011, 0x40c, 0x8011,
-  0x406, 0x8011, 0x3ff, 0x8011, 0x3f9, 0x8010, 0x3f3, 0x8010,
-  0x3ed, 0x8010, 0x3e6, 0x8010, 0x3e0, 0x8010, 0x3da, 0x800f,
-  0x3d4, 0x800f, 0x3cd, 0x800f, 0x3c7, 0x800f, 0x3c1, 0x800f,
-  0x3ba, 0x800e, 0x3b4, 0x800e, 0x3ae, 0x800e, 0x3a8, 0x800e,
-  0x3a1, 0x800e, 0x39b, 0x800e, 0x395, 0x800d, 0x38e, 0x800d,
-  0x388, 0x800d, 0x382, 0x800d, 0x37c, 0x800d, 0x375, 0x800c,
-  0x36f, 0x800c, 0x369, 0x800c, 0x362, 0x800c, 0x35c, 0x800c,
-  0x356, 0x800c, 0x350, 0x800b, 0x349, 0x800b, 0x343, 0x800b,
-  0x33d, 0x800b, 0x337, 0x800b, 0x330, 0x800b, 0x32a, 0x800b,
-  0x324, 0x800a, 0x31d, 0x800a, 0x317, 0x800a, 0x311, 0x800a,
-  0x30b, 0x800a, 0x304, 0x800a, 0x2fe, 0x8009, 0x2f8, 0x8009,
-  0x2f1, 0x8009, 0x2eb, 0x8009, 0x2e5, 0x8009, 0x2df, 0x8009,
-  0x2d8, 0x8009, 0x2d2, 0x8008, 0x2cc, 0x8008, 0x2c5, 0x8008,
-  0x2bf, 0x8008, 0x2b9, 0x8008, 0x2b3, 0x8008, 0x2ac, 0x8008,
-  0x2a6, 0x8008, 0x2a0, 0x8007, 0x299, 0x8007, 0x293, 0x8007,
-  0x28d, 0x8007, 0x287, 0x8007, 0x280, 0x8007, 0x27a, 0x8007,
-  0x274, 0x8007, 0x26d, 0x8006, 0x267, 0x8006, 0x261, 0x8006,
-  0x25b, 0x8006, 0x254, 0x8006, 0x24e, 0x8006, 0x248, 0x8006,
-  0x242, 0x8006, 0x23b, 0x8005, 0x235, 0x8005, 0x22f, 0x8005,
-  0x228, 0x8005, 0x222, 0x8005, 0x21c, 0x8005, 0x216, 0x8005,
-  0x20f, 0x8005, 0x209, 0x8005, 0x203, 0x8005, 0x1fc, 0x8004,
-  0x1f6, 0x8004, 0x1f0, 0x8004, 0x1ea, 0x8004, 0x1e3, 0x8004,
-  0x1dd, 0x8004, 0x1d7, 0x8004, 0x1d0, 0x8004, 0x1ca, 0x8004,
-  0x1c4, 0x8004, 0x1be, 0x8004, 0x1b7, 0x8003, 0x1b1, 0x8003,
-  0x1ab, 0x8003, 0x1a4, 0x8003, 0x19e, 0x8003, 0x198, 0x8003,
-  0x192, 0x8003, 0x18b, 0x8003, 0x185, 0x8003, 0x17f, 0x8003,
-  0x178, 0x8003, 0x172, 0x8003, 0x16c, 0x8003, 0x166, 0x8002,
-  0x15f, 0x8002, 0x159, 0x8002, 0x153, 0x8002, 0x14d, 0x8002,
-  0x146, 0x8002, 0x140, 0x8002, 0x13a, 0x8002, 0x133, 0x8002,
-  0x12d, 0x8002, 0x127, 0x8002, 0x121, 0x8002, 0x11a, 0x8002,
-  0x114, 0x8002, 0x10e, 0x8002, 0x107, 0x8002, 0x101, 0x8002,
-  0xfb, 0x8001, 0xf5, 0x8001, 0xee, 0x8001, 0xe8, 0x8001,
-  0xe2, 0x8001, 0xdb, 0x8001, 0xd5, 0x8001, 0xcf, 0x8001,
-  0xc9, 0x8001, 0xc2, 0x8001, 0xbc, 0x8001, 0xb6, 0x8001,
-  0xaf, 0x8001, 0xa9, 0x8001, 0xa3, 0x8001, 0x9d, 0x8001,
-  0x96, 0x8001, 0x90, 0x8001, 0x8a, 0x8001, 0x83, 0x8001,
-  0x7d, 0x8001, 0x77, 0x8001, 0x71, 0x8001, 0x6a, 0x8001,
-  0x64, 0x8001, 0x5e, 0x8001, 0x57, 0x8001, 0x51, 0x8001,
-  0x4b, 0x8001, 0x45, 0x8001, 0x3e, 0x8001, 0x38, 0x8001,
-  0x32, 0x8001, 0x2b, 0x8001, 0x25, 0x8001, 0x1f, 0x8001,
-  0x19, 0x8001, 0x12, 0x8001, 0xc, 0x8001, 0x6, 0x8001,
-};
-
-
-/**    
-* \par    
-* cosFactor tables are generated using the formula : 
 cos_factors[n] = 2 * cos((2n+1)*pi/(4*N)) 
    
-* \par    
-* C command to generate the table    
-* 
    
-* for(i = 0; i< N; i++)    
-* {    
-*   cos_factors[i]= 2 * cos((2*i+1)*c/2);    
-* } 
    
-* \par    
-* where N is the number of factors to generate and c is pi/(2*N)    
-* \par    
-* Then converted to q15 format by multiplying with 2^31 and saturated if required.    
-    
-*/
-
-static const q15_t ALIGN4 cos_factorsQ15_128[128] = {
-  0x7fff, 0x7ffa, 0x7ff0, 0x7fe1, 0x7fce, 0x7fb5, 0x7f97, 0x7f75,
-  0x7f4d, 0x7f21, 0x7ef0, 0x7eba, 0x7e7f, 0x7e3f, 0x7dfa, 0x7db0,
-  0x7d62, 0x7d0f, 0x7cb7, 0x7c5a, 0x7bf8, 0x7b92, 0x7b26, 0x7ab6,
-  0x7a42, 0x79c8, 0x794a, 0x78c7, 0x7840, 0x77b4, 0x7723, 0x768e,
-  0x75f4, 0x7555, 0x74b2, 0x740b, 0x735f, 0x72af, 0x71fa, 0x7141,
-  0x7083, 0x6fc1, 0x6efb, 0x6e30, 0x6d62, 0x6c8f, 0x6bb8, 0x6adc,
-  0x69fd, 0x6919, 0x6832, 0x6746, 0x6657, 0x6563, 0x646c, 0x6371,
-  0x6271, 0x616f, 0x6068, 0x5f5e, 0x5e50, 0x5d3e, 0x5c29, 0x5b10,
-  0x59f3, 0x58d4, 0x57b0, 0x568a, 0x5560, 0x5433, 0x5302, 0x51ce,
-  0x5097, 0x4f5e, 0x4e21, 0x4ce1, 0x4b9e, 0x4a58, 0x490f, 0x47c3,
-  0x4675, 0x4524, 0x43d0, 0x427a, 0x4121, 0x3fc5, 0x3e68, 0x3d07,
-  0x3ba5, 0x3a40, 0x38d8, 0x376f, 0x3604, 0x3496, 0x3326, 0x31b5,
-  0x3041, 0x2ecc, 0x2d55, 0x2bdc, 0x2a61, 0x28e5, 0x2767, 0x25e8,
-  0x2467, 0x22e5, 0x2161, 0x1fdc, 0x1e56, 0x1ccf, 0x1b47, 0x19bd,
-  0x1833, 0x16a8, 0x151b, 0x138e, 0x1201, 0x1072, 0xee3, 0xd53,
-  0xbc3, 0xa33, 0x8a2, 0x710, 0x57f, 0x3ed, 0x25b, 0xc9
-};
-
-static const q15_t ALIGN4 cos_factorsQ15_512[512] = {
-  0x7fff, 0x7fff, 0x7fff, 0x7ffe, 0x7ffc, 0x7ffb, 0x7ff9, 0x7ff7,
-  0x7ff4, 0x7ff2, 0x7fee, 0x7feb, 0x7fe7, 0x7fe3, 0x7fdf, 0x7fda,
-  0x7fd6, 0x7fd0, 0x7fcb, 0x7fc5, 0x7fbf, 0x7fb8, 0x7fb1, 0x7faa,
-  0x7fa3, 0x7f9b, 0x7f93, 0x7f8b, 0x7f82, 0x7f79, 0x7f70, 0x7f67,
-  0x7f5d, 0x7f53, 0x7f48, 0x7f3d, 0x7f32, 0x7f27, 0x7f1b, 0x7f0f,
-  0x7f03, 0x7ef6, 0x7ee9, 0x7edc, 0x7ecf, 0x7ec1, 0x7eb3, 0x7ea4,
-  0x7e95, 0x7e86, 0x7e77, 0x7e67, 0x7e57, 0x7e47, 0x7e37, 0x7e26,
-  0x7e14, 0x7e03, 0x7df1, 0x7ddf, 0x7dcd, 0x7dba, 0x7da7, 0x7d94,
-  0x7d80, 0x7d6c, 0x7d58, 0x7d43, 0x7d2f, 0x7d19, 0x7d04, 0x7cee,
-  0x7cd8, 0x7cc2, 0x7cab, 0x7c94, 0x7c7d, 0x7c66, 0x7c4e, 0x7c36,
-  0x7c1d, 0x7c05, 0x7beb, 0x7bd2, 0x7bb9, 0x7b9f, 0x7b84, 0x7b6a,
-  0x7b4f, 0x7b34, 0x7b19, 0x7afd, 0x7ae1, 0x7ac5, 0x7aa8, 0x7a8b,
-  0x7a6e, 0x7a50, 0x7a33, 0x7a15, 0x79f6, 0x79d8, 0x79b9, 0x7999,
-  0x797a, 0x795a, 0x793a, 0x7919, 0x78f9, 0x78d8, 0x78b6, 0x7895,
-  0x7873, 0x7851, 0x782e, 0x780c, 0x77e9, 0x77c5, 0x77a2, 0x777e,
-  0x775a, 0x7735, 0x7710, 0x76eb, 0x76c6, 0x76a0, 0x767b, 0x7654,
-  0x762e, 0x7607, 0x75e0, 0x75b9, 0x7591, 0x7569, 0x7541, 0x7519,
-  0x74f0, 0x74c7, 0x749e, 0x7474, 0x744a, 0x7420, 0x73f6, 0x73cb,
-  0x73a0, 0x7375, 0x7349, 0x731d, 0x72f1, 0x72c5, 0x7298, 0x726b,
-  0x723e, 0x7211, 0x71e3, 0x71b5, 0x7186, 0x7158, 0x7129, 0x70fa,
-  0x70cb, 0x709b, 0x706b, 0x703b, 0x700a, 0x6fda, 0x6fa9, 0x6f77,
-  0x6f46, 0x6f14, 0x6ee2, 0x6eaf, 0x6e7d, 0x6e4a, 0x6e17, 0x6de3,
-  0x6db0, 0x6d7c, 0x6d48, 0x6d13, 0x6cde, 0x6ca9, 0x6c74, 0x6c3f,
-  0x6c09, 0x6bd3, 0x6b9c, 0x6b66, 0x6b2f, 0x6af8, 0x6ac1, 0x6a89,
-  0x6a51, 0x6a19, 0x69e1, 0x69a8, 0x696f, 0x6936, 0x68fd, 0x68c3,
-  0x6889, 0x684f, 0x6815, 0x67da, 0x679f, 0x6764, 0x6729, 0x66ed,
-  0x66b1, 0x6675, 0x6639, 0x65fc, 0x65bf, 0x6582, 0x6545, 0x6507,
-  0x64c9, 0x648b, 0x644d, 0x640e, 0x63cf, 0x6390, 0x6351, 0x6311,
-  0x62d2, 0x6292, 0x6251, 0x6211, 0x61d0, 0x618f, 0x614e, 0x610d,
-  0x60cb, 0x6089, 0x6047, 0x6004, 0x5fc2, 0x5f7f, 0x5f3c, 0x5ef9,
-  0x5eb5, 0x5e71, 0x5e2d, 0x5de9, 0x5da5, 0x5d60, 0x5d1b, 0x5cd6,
-  0x5c91, 0x5c4b, 0x5c06, 0x5bc0, 0x5b79, 0x5b33, 0x5aec, 0x5aa5,
-  0x5a5e, 0x5a17, 0x59d0, 0x5988, 0x5940, 0x58f8, 0x58af, 0x5867,
-  0x581e, 0x57d5, 0x578c, 0x5742, 0x56f9, 0x56af, 0x5665, 0x561a,
-  0x55d0, 0x5585, 0x553a, 0x54ef, 0x54a4, 0x5458, 0x540d, 0x53c1,
-  0x5375, 0x5328, 0x52dc, 0x528f, 0x5242, 0x51f5, 0x51a8, 0x515a,
-  0x510c, 0x50bf, 0x5070, 0x5022, 0x4fd4, 0x4f85, 0x4f36, 0x4ee7,
-  0x4e98, 0x4e48, 0x4df9, 0x4da9, 0x4d59, 0x4d09, 0x4cb8, 0x4c68,
-  0x4c17, 0x4bc6, 0x4b75, 0x4b24, 0x4ad2, 0x4a81, 0x4a2f, 0x49dd,
-  0x498a, 0x4938, 0x48e6, 0x4893, 0x4840, 0x47ed, 0x479a, 0x4746,
-  0x46f3, 0x469f, 0x464b, 0x45f7, 0x45a3, 0x454e, 0x44fa, 0x44a5,
-  0x4450, 0x43fb, 0x43a5, 0x4350, 0x42fa, 0x42a5, 0x424f, 0x41f9,
-  0x41a2, 0x414c, 0x40f6, 0x409f, 0x4048, 0x3ff1, 0x3f9a, 0x3f43,
-  0x3eeb, 0x3e93, 0x3e3c, 0x3de4, 0x3d8c, 0x3d33, 0x3cdb, 0x3c83,
-  0x3c2a, 0x3bd1, 0x3b78, 0x3b1f, 0x3ac6, 0x3a6c, 0x3a13, 0x39b9,
-  0x395f, 0x3906, 0x38ab, 0x3851, 0x37f7, 0x379c, 0x3742, 0x36e7,
-  0x368c, 0x3631, 0x35d6, 0x357b, 0x351f, 0x34c4, 0x3468, 0x340c,
-  0x33b0, 0x3354, 0x32f8, 0x329c, 0x3240, 0x31e3, 0x3186, 0x312a,
-  0x30cd, 0x3070, 0x3013, 0x2fb5, 0x2f58, 0x2efb, 0x2e9d, 0x2e3f,
-  0x2de2, 0x2d84, 0x2d26, 0x2cc8, 0x2c69, 0x2c0b, 0x2bad, 0x2b4e,
-  0x2aef, 0x2a91, 0x2a32, 0x29d3, 0x2974, 0x2915, 0x28b5, 0x2856,
-  0x27f6, 0x2797, 0x2737, 0x26d8, 0x2678, 0x2618, 0x25b8, 0x2558,
-  0x24f7, 0x2497, 0x2437, 0x23d6, 0x2376, 0x2315, 0x22b4, 0x2254,
-  0x21f3, 0x2192, 0x2131, 0x20d0, 0x206e, 0x200d, 0x1fac, 0x1f4a,
-  0x1ee9, 0x1e87, 0x1e25, 0x1dc4, 0x1d62, 0x1d00, 0x1c9e, 0x1c3c,
-  0x1bda, 0x1b78, 0x1b16, 0x1ab3, 0x1a51, 0x19ef, 0x198c, 0x192a,
-  0x18c7, 0x1864, 0x1802, 0x179f, 0x173c, 0x16d9, 0x1676, 0x1613,
-  0x15b0, 0x154d, 0x14ea, 0x1487, 0x1423, 0x13c0, 0x135d, 0x12f9,
-  0x1296, 0x1232, 0x11cf, 0x116b, 0x1108, 0x10a4, 0x1040, 0xfdd,
-  0xf79, 0xf15, 0xeb1, 0xe4d, 0xde9, 0xd85, 0xd21, 0xcbd,
-  0xc59, 0xbf5, 0xb91, 0xb2d, 0xac9, 0xa65, 0xa00, 0x99c,
-  0x938, 0x8d4, 0x86f, 0x80b, 0x7a7, 0x742, 0x6de, 0x67a,
-  0x615, 0x5b1, 0x54c, 0x4e8, 0x483, 0x41f, 0x3ba, 0x356,
-  0x2f1, 0x28d, 0x228, 0x1c4, 0x15f, 0xfb, 0x96, 0x32,
-};
-
-static const q15_t ALIGN4 cos_factorsQ15_2048[2048] = {
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7fff, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffd, 0x7ffd,
-  0x7ffd, 0x7ffd, 0x7ffc, 0x7ffc, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffa,
-  0x7ffa, 0x7ff9, 0x7ff9, 0x7ff8, 0x7ff8, 0x7ff7, 0x7ff7, 0x7ff6,
-  0x7ff5, 0x7ff5, 0x7ff4, 0x7ff3, 0x7ff3, 0x7ff2, 0x7ff1, 0x7ff0,
-  0x7ff0, 0x7fef, 0x7fee, 0x7fed, 0x7fec, 0x7fec, 0x7feb, 0x7fea,
-  0x7fe9, 0x7fe8, 0x7fe7, 0x7fe6, 0x7fe5, 0x7fe4, 0x7fe3, 0x7fe2,
-  0x7fe1, 0x7fe0, 0x7fdf, 0x7fdd, 0x7fdc, 0x7fdb, 0x7fda, 0x7fd9,
-  0x7fd7, 0x7fd6, 0x7fd5, 0x7fd4, 0x7fd2, 0x7fd1, 0x7fd0, 0x7fce,
-  0x7fcd, 0x7fcb, 0x7fca, 0x7fc9, 0x7fc7, 0x7fc6, 0x7fc4, 0x7fc3,
-  0x7fc1, 0x7fc0, 0x7fbe, 0x7fbc, 0x7fbb, 0x7fb9, 0x7fb7, 0x7fb6,
-  0x7fb4, 0x7fb2, 0x7fb1, 0x7faf, 0x7fad, 0x7fab, 0x7fa9, 0x7fa8,
-  0x7fa6, 0x7fa4, 0x7fa2, 0x7fa0, 0x7f9e, 0x7f9c, 0x7f9a, 0x7f98,
-  0x7f96, 0x7f94, 0x7f92, 0x7f90, 0x7f8e, 0x7f8c, 0x7f8a, 0x7f88,
-  0x7f86, 0x7f83, 0x7f81, 0x7f7f, 0x7f7d, 0x7f7b, 0x7f78, 0x7f76,
-  0x7f74, 0x7f71, 0x7f6f, 0x7f6d, 0x7f6a, 0x7f68, 0x7f65, 0x7f63,
-  0x7f60, 0x7f5e, 0x7f5b, 0x7f59, 0x7f56, 0x7f54, 0x7f51, 0x7f4f,
-  0x7f4c, 0x7f49, 0x7f47, 0x7f44, 0x7f41, 0x7f3f, 0x7f3c, 0x7f39,
-  0x7f36, 0x7f34, 0x7f31, 0x7f2e, 0x7f2b, 0x7f28, 0x7f25, 0x7f23,
-  0x7f20, 0x7f1d, 0x7f1a, 0x7f17, 0x7f14, 0x7f11, 0x7f0e, 0x7f0b,
-  0x7f08, 0x7f04, 0x7f01, 0x7efe, 0x7efb, 0x7ef8, 0x7ef5, 0x7ef1,
-  0x7eee, 0x7eeb, 0x7ee8, 0x7ee4, 0x7ee1, 0x7ede, 0x7eda, 0x7ed7,
-  0x7ed4, 0x7ed0, 0x7ecd, 0x7ec9, 0x7ec6, 0x7ec3, 0x7ebf, 0x7ebb,
-  0x7eb8, 0x7eb4, 0x7eb1, 0x7ead, 0x7eaa, 0x7ea6, 0x7ea2, 0x7e9f,
-  0x7e9b, 0x7e97, 0x7e94, 0x7e90, 0x7e8c, 0x7e88, 0x7e84, 0x7e81,
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-  0x348b, 0x3474, 0x345d, 0x3446, 0x342f, 0x3418, 0x3401, 0x33ea,
-  0x33d3, 0x33bc, 0x33a5, 0x338e, 0x3377, 0x3360, 0x3349, 0x3332,
-  0x331b, 0x3304, 0x32ed, 0x32d6, 0x32bf, 0x32a8, 0x3290, 0x3279,
-  0x3262, 0x324b, 0x3234, 0x321d, 0x3206, 0x31ef, 0x31d8, 0x31c0,
-  0x31a9, 0x3192, 0x317b, 0x3164, 0x314c, 0x3135, 0x311e, 0x3107,
-  0x30f0, 0x30d8, 0x30c1, 0x30aa, 0x3093, 0x307b, 0x3064, 0x304d,
-  0x3036, 0x301e, 0x3007, 0x2ff0, 0x2fd8, 0x2fc1, 0x2faa, 0x2f92,
-  0x2f7b, 0x2f64, 0x2f4c, 0x2f35, 0x2f1e, 0x2f06, 0x2eef, 0x2ed8,
-  0x2ec0, 0x2ea9, 0x2e91, 0x2e7a, 0x2e63, 0x2e4b, 0x2e34, 0x2e1c,
-  0x2e05, 0x2ded, 0x2dd6, 0x2dbe, 0x2da7, 0x2d8f, 0x2d78, 0x2d60,
-  0x2d49, 0x2d31, 0x2d1a, 0x2d02, 0x2ceb, 0x2cd3, 0x2cbc, 0x2ca4,
-  0x2c8d, 0x2c75, 0x2c5e, 0x2c46, 0x2c2e, 0x2c17, 0x2bff, 0x2be8,
-  0x2bd0, 0x2bb8, 0x2ba1, 0x2b89, 0x2b71, 0x2b5a, 0x2b42, 0x2b2b,
-  0x2b13, 0x2afb, 0x2ae4, 0x2acc, 0x2ab4, 0x2a9c, 0x2a85, 0x2a6d,
-  0x2a55, 0x2a3e, 0x2a26, 0x2a0e, 0x29f6, 0x29df, 0x29c7, 0x29af,
-  0x2997, 0x2980, 0x2968, 0x2950, 0x2938, 0x2920, 0x2909, 0x28f1,
-  0x28d9, 0x28c1, 0x28a9, 0x2892, 0x287a, 0x2862, 0x284a, 0x2832,
-  0x281a, 0x2802, 0x27eb, 0x27d3, 0x27bb, 0x27a3, 0x278b, 0x2773,
-  0x275b, 0x2743, 0x272b, 0x2713, 0x26fb, 0x26e4, 0x26cc, 0x26b4,
-  0x269c, 0x2684, 0x266c, 0x2654, 0x263c, 0x2624, 0x260c, 0x25f4,
-  0x25dc, 0x25c4, 0x25ac, 0x2594, 0x257c, 0x2564, 0x254c, 0x2534,
-  0x251c, 0x2503, 0x24eb, 0x24d3, 0x24bb, 0x24a3, 0x248b, 0x2473,
-  0x245b, 0x2443, 0x242b, 0x2413, 0x23fa, 0x23e2, 0x23ca, 0x23b2,
-  0x239a, 0x2382, 0x236a, 0x2352, 0x2339, 0x2321, 0x2309, 0x22f1,
-  0x22d9, 0x22c0, 0x22a8, 0x2290, 0x2278, 0x2260, 0x2247, 0x222f,
-  0x2217, 0x21ff, 0x21e7, 0x21ce, 0x21b6, 0x219e, 0x2186, 0x216d,
-  0x2155, 0x213d, 0x2125, 0x210c, 0x20f4, 0x20dc, 0x20c3, 0x20ab,
-  0x2093, 0x207a, 0x2062, 0x204a, 0x2032, 0x2019, 0x2001, 0x1fe9,
-  0x1fd0, 0x1fb8, 0x1f9f, 0x1f87, 0x1f6f, 0x1f56, 0x1f3e, 0x1f26,
-  0x1f0d, 0x1ef5, 0x1edd, 0x1ec4, 0x1eac, 0x1e93, 0x1e7b, 0x1e62,
-  0x1e4a, 0x1e32, 0x1e19, 0x1e01, 0x1de8, 0x1dd0, 0x1db7, 0x1d9f,
-  0x1d87, 0x1d6e, 0x1d56, 0x1d3d, 0x1d25, 0x1d0c, 0x1cf4, 0x1cdb,
-  0x1cc3, 0x1caa, 0x1c92, 0x1c79, 0x1c61, 0x1c48, 0x1c30, 0x1c17,
-  0x1bff, 0x1be6, 0x1bce, 0x1bb5, 0x1b9d, 0x1b84, 0x1b6c, 0x1b53,
-  0x1b3a, 0x1b22, 0x1b09, 0x1af1, 0x1ad8, 0x1ac0, 0x1aa7, 0x1a8e,
-  0x1a76, 0x1a5d, 0x1a45, 0x1a2c, 0x1a13, 0x19fb, 0x19e2, 0x19ca,
-  0x19b1, 0x1998, 0x1980, 0x1967, 0x194e, 0x1936, 0x191d, 0x1905,
-  0x18ec, 0x18d3, 0x18bb, 0x18a2, 0x1889, 0x1871, 0x1858, 0x183f,
-  0x1827, 0x180e, 0x17f5, 0x17dd, 0x17c4, 0x17ab, 0x1792, 0x177a,
-  0x1761, 0x1748, 0x1730, 0x1717, 0x16fe, 0x16e5, 0x16cd, 0x16b4,
-  0x169b, 0x1682, 0x166a, 0x1651, 0x1638, 0x161f, 0x1607, 0x15ee,
-  0x15d5, 0x15bc, 0x15a4, 0x158b, 0x1572, 0x1559, 0x1541, 0x1528,
-  0x150f, 0x14f6, 0x14dd, 0x14c5, 0x14ac, 0x1493, 0x147a, 0x1461,
-  0x1449, 0x1430, 0x1417, 0x13fe, 0x13e5, 0x13cc, 0x13b4, 0x139b,
-  0x1382, 0x1369, 0x1350, 0x1337, 0x131f, 0x1306, 0x12ed, 0x12d4,
-  0x12bb, 0x12a2, 0x1289, 0x1271, 0x1258, 0x123f, 0x1226, 0x120d,
-  0x11f4, 0x11db, 0x11c2, 0x11a9, 0x1191, 0x1178, 0x115f, 0x1146,
-  0x112d, 0x1114, 0x10fb, 0x10e2, 0x10c9, 0x10b0, 0x1098, 0x107f,
-  0x1066, 0x104d, 0x1034, 0x101b, 0x1002, 0xfe9, 0xfd0, 0xfb7,
-  0xf9e, 0xf85, 0xf6c, 0xf53, 0xf3a, 0xf21, 0xf08, 0xef0,
-  0xed7, 0xebe, 0xea5, 0xe8c, 0xe73, 0xe5a, 0xe41, 0xe28,
-  0xe0f, 0xdf6, 0xddd, 0xdc4, 0xdab, 0xd92, 0xd79, 0xd60,
-  0xd47, 0xd2e, 0xd15, 0xcfc, 0xce3, 0xcca, 0xcb1, 0xc98,
-  0xc7f, 0xc66, 0xc4d, 0xc34, 0xc1b, 0xc02, 0xbe9, 0xbd0,
-  0xbb7, 0xb9e, 0xb85, 0xb6c, 0xb53, 0xb3a, 0xb20, 0xb07,
-  0xaee, 0xad5, 0xabc, 0xaa3, 0xa8a, 0xa71, 0xa58, 0xa3f,
-  0xa26, 0xa0d, 0x9f4, 0x9db, 0x9c2, 0x9a9, 0x990, 0x977,
-  0x95e, 0x944, 0x92b, 0x912, 0x8f9, 0x8e0, 0x8c7, 0x8ae,
-  0x895, 0x87c, 0x863, 0x84a, 0x831, 0x818, 0x7fe, 0x7e5,
-  0x7cc, 0x7b3, 0x79a, 0x781, 0x768, 0x74f, 0x736, 0x71d,
-  0x704, 0x6ea, 0x6d1, 0x6b8, 0x69f, 0x686, 0x66d, 0x654,
-  0x63b, 0x622, 0x609, 0x5ef, 0x5d6, 0x5bd, 0x5a4, 0x58b,
-  0x572, 0x559, 0x540, 0x527, 0x50d, 0x4f4, 0x4db, 0x4c2,
-  0x4a9, 0x490, 0x477, 0x45e, 0x445, 0x42b, 0x412, 0x3f9,
-  0x3e0, 0x3c7, 0x3ae, 0x395, 0x37c, 0x362, 0x349, 0x330,
-  0x317, 0x2fe, 0x2e5, 0x2cc, 0x2b3, 0x299, 0x280, 0x267,
-  0x24e, 0x235, 0x21c, 0x203, 0x1ea, 0x1d0, 0x1b7, 0x19e,
-  0x185, 0x16c, 0x153, 0x13a, 0x121, 0x107, 0xee, 0xd5,
-  0xbc, 0xa3, 0x8a, 0x71, 0x57, 0x3e, 0x25, 0xc,
-
-};
-
-static const q15_t ALIGN4 cos_factorsQ15_8192[8192] = {
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe,
-  0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe,
-  0x7ffe, 0x7ffe, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd,
-  0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffc,
-  0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc,
-  0x7ffc, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb,
-  0x7ffb, 0x7ffb, 0x7ffb, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa,
-  0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff9,
-  0x7ff9, 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff8, 0x7ff8, 0x7ff8, 0x7ff8,
-  0x7ff8, 0x7ff8, 0x7ff8, 0x7ff7, 0x7ff7, 0x7ff7, 0x7ff7, 0x7ff7,
-  0x7ff7, 0x7ff7, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6,
-  0x7ff6, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff4,
-  0x7ff4, 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff3, 0x7ff3, 0x7ff3,
-  0x7ff3, 0x7ff3, 0x7ff3, 0x7ff2, 0x7ff2, 0x7ff2, 0x7ff2, 0x7ff2,
-  0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff0, 0x7ff0,
-  0x7ff0, 0x7ff0, 0x7ff0, 0x7fef, 0x7fef, 0x7fef, 0x7fef, 0x7fef,
-  0x7fee, 0x7fee, 0x7fee, 0x7fee, 0x7fee, 0x7fed, 0x7fed, 0x7fed,
-  0x7fed, 0x7fed, 0x7fec, 0x7fec, 0x7fec, 0x7fec, 0x7feb, 0x7feb,
-  0x7feb, 0x7feb, 0x7feb, 0x7fea, 0x7fea, 0x7fea, 0x7fea, 0x7fe9,
-  0x7fe9, 0x7fe9, 0x7fe9, 0x7fe8, 0x7fe8, 0x7fe8, 0x7fe8, 0x7fe8,
-  0x7fe7, 0x7fe7, 0x7fe7, 0x7fe7, 0x7fe6, 0x7fe6, 0x7fe6, 0x7fe6,
-  0x7fe5, 0x7fe5, 0x7fe5, 0x7fe5, 0x7fe4, 0x7fe4, 0x7fe4, 0x7fe4,
-  0x7fe3, 0x7fe3, 0x7fe3, 0x7fe2, 0x7fe2, 0x7fe2, 0x7fe2, 0x7fe1,
-  0x7fe1, 0x7fe1, 0x7fe1, 0x7fe0, 0x7fe0, 0x7fe0, 0x7fdf, 0x7fdf,
-  0x7fdf, 0x7fdf, 0x7fde, 0x7fde, 0x7fde, 0x7fde, 0x7fdd, 0x7fdd,
-  0x7fdd, 0x7fdc, 0x7fdc, 0x7fdc, 0x7fdb, 0x7fdb, 0x7fdb, 0x7fdb,
-  0x7fda, 0x7fda, 0x7fda, 0x7fd9, 0x7fd9, 0x7fd9, 0x7fd8, 0x7fd8,
-  0x7fd8, 0x7fd8, 0x7fd7, 0x7fd7, 0x7fd7, 0x7fd6, 0x7fd6, 0x7fd6,
-  0x7fd5, 0x7fd5, 0x7fd5, 0x7fd4, 0x7fd4, 0x7fd4, 0x7fd3, 0x7fd3,
-  0x7fd3, 0x7fd2, 0x7fd2, 0x7fd2, 0x7fd1, 0x7fd1, 0x7fd1, 0x7fd0,
-  0x7fd0, 0x7fd0, 0x7fcf, 0x7fcf, 0x7fcf, 0x7fce, 0x7fce, 0x7fce,
-  0x7fcd, 0x7fcd, 0x7fcd, 0x7fcc, 0x7fcc, 0x7fcc, 0x7fcb, 0x7fcb,
-  0x7fcb, 0x7fca, 0x7fca, 0x7fc9, 0x7fc9, 0x7fc9, 0x7fc8, 0x7fc8,
-  0x7fc8, 0x7fc7, 0x7fc7, 0x7fc7, 0x7fc6, 0x7fc6, 0x7fc5, 0x7fc5,
-  0x7fc5, 0x7fc4, 0x7fc4, 0x7fc4, 0x7fc3, 0x7fc3, 0x7fc2, 0x7fc2,
-  0x7fc2, 0x7fc1, 0x7fc1, 0x7fc0, 0x7fc0, 0x7fc0, 0x7fbf, 0x7fbf,
-  0x7fbf, 0x7fbe, 0x7fbe, 0x7fbd, 0x7fbd, 0x7fbd, 0x7fbc, 0x7fbc,
-  0x7fbb, 0x7fbb, 0x7fbb, 0x7fba, 0x7fba, 0x7fb9, 0x7fb9, 0x7fb8,
-  0x7fb8, 0x7fb8, 0x7fb7, 0x7fb7, 0x7fb6, 0x7fb6, 0x7fb6, 0x7fb5,
-  0x7fb5, 0x7fb4, 0x7fb4, 0x7fb3, 0x7fb3, 0x7fb3, 0x7fb2, 0x7fb2,
-  0x7fb1, 0x7fb1, 0x7fb0, 0x7fb0, 0x7faf, 0x7faf, 0x7faf, 0x7fae,
-  0x7fae, 0x7fad, 0x7fad, 0x7fac, 0x7fac, 0x7fac, 0x7fab, 0x7fab,
-  0x7faa, 0x7faa, 0x7fa9, 0x7fa9, 0x7fa8, 0x7fa8, 0x7fa7, 0x7fa7,
-  0x7fa6, 0x7fa6, 0x7fa6, 0x7fa5, 0x7fa5, 0x7fa4, 0x7fa4, 0x7fa3,
-  0x7fa3, 0x7fa2, 0x7fa2, 0x7fa1, 0x7fa1, 0x7fa0, 0x7fa0, 0x7f9f,
-  0x7f9f, 0x7f9e, 0x7f9e, 0x7f9d, 0x7f9d, 0x7f9c, 0x7f9c, 0x7f9c,
-  0x7f9b, 0x7f9b, 0x7f9a, 0x7f9a, 0x7f99, 0x7f99, 0x7f98, 0x7f98,
-  0x7f97, 0x7f97, 0x7f96, 0x7f96, 0x7f95, 0x7f95, 0x7f94, 0x7f94,
-  0x7f93, 0x7f92, 0x7f92, 0x7f91, 0x7f91, 0x7f90, 0x7f90, 0x7f8f,
-  0x7f8f, 0x7f8e, 0x7f8e, 0x7f8d, 0x7f8d, 0x7f8c, 0x7f8c, 0x7f8b,
-  0x7f8b, 0x7f8a, 0x7f8a, 0x7f89, 0x7f89, 0x7f88, 0x7f87, 0x7f87,
-  0x7f86, 0x7f86, 0x7f85, 0x7f85, 0x7f84, 0x7f84, 0x7f83, 0x7f83,
-  0x7f82, 0x7f81, 0x7f81, 0x7f80, 0x7f80, 0x7f7f, 0x7f7f, 0x7f7e,
-  0x7f7e, 0x7f7d, 0x7f7c, 0x7f7c, 0x7f7b, 0x7f7b, 0x7f7a, 0x7f7a,
-  0x7f79, 0x7f79, 0x7f78, 0x7f77, 0x7f77, 0x7f76, 0x7f76, 0x7f75,
-  0x7f75, 0x7f74, 0x7f73, 0x7f73, 0x7f72, 0x7f72, 0x7f71, 0x7f70,
-  0x7f70, 0x7f6f, 0x7f6f, 0x7f6e, 0x7f6d, 0x7f6d, 0x7f6c, 0x7f6c,
-  0x7f6b, 0x7f6b, 0x7f6a, 0x7f69, 0x7f69, 0x7f68, 0x7f68, 0x7f67,
-  0x7f66, 0x7f66, 0x7f65, 0x7f64, 0x7f64, 0x7f63, 0x7f63, 0x7f62,
-  0x7f61, 0x7f61, 0x7f60, 0x7f60, 0x7f5f, 0x7f5e, 0x7f5e, 0x7f5d,
-  0x7f5c, 0x7f5c, 0x7f5b, 0x7f5b, 0x7f5a, 0x7f59, 0x7f59, 0x7f58,
-  0x7f57, 0x7f57, 0x7f56, 0x7f55, 0x7f55, 0x7f54, 0x7f54, 0x7f53,
-  0x7f52, 0x7f52, 0x7f51, 0x7f50, 0x7f50, 0x7f4f, 0x7f4e, 0x7f4e,
-  0x7f4d, 0x7f4c, 0x7f4c, 0x7f4b, 0x7f4a, 0x7f4a, 0x7f49, 0x7f48,
-  0x7f48, 0x7f47, 0x7f46, 0x7f46, 0x7f45, 0x7f44, 0x7f44, 0x7f43,
-  0x7f42, 0x7f42, 0x7f41, 0x7f40, 0x7f40, 0x7f3f, 0x7f3e, 0x7f3e,
-  0x7f3d, 0x7f3c, 0x7f3c, 0x7f3b, 0x7f3a, 0x7f3a, 0x7f39, 0x7f38,
-  0x7f37, 0x7f37, 0x7f36, 0x7f35, 0x7f35, 0x7f34, 0x7f33, 0x7f33,
-  0x7f32, 0x7f31, 0x7f31, 0x7f30, 0x7f2f, 0x7f2e, 0x7f2e, 0x7f2d,
-  0x7f2c, 0x7f2c, 0x7f2b, 0x7f2a, 0x7f29, 0x7f29, 0x7f28, 0x7f27,
-  0x7f27, 0x7f26, 0x7f25, 0x7f24, 0x7f24, 0x7f23, 0x7f22, 0x7f21,
-  0x7f21, 0x7f20, 0x7f1f, 0x7f1f, 0x7f1e, 0x7f1d, 0x7f1c, 0x7f1c,
-  0x7f1b, 0x7f1a, 0x7f19, 0x7f19, 0x7f18, 0x7f17, 0x7f16, 0x7f16,
-  0x7f15, 0x7f14, 0x7f13, 0x7f13, 0x7f12, 0x7f11, 0x7f10, 0x7f10,
-  0x7f0f, 0x7f0e, 0x7f0d, 0x7f0d, 0x7f0c, 0x7f0b, 0x7f0a, 0x7f09,
-  0x7f09, 0x7f08, 0x7f07, 0x7f06, 0x7f06, 0x7f05, 0x7f04, 0x7f03,
-  0x7f02, 0x7f02, 0x7f01, 0x7f00, 0x7eff, 0x7eff, 0x7efe, 0x7efd,
-  0x7efc, 0x7efb, 0x7efb, 0x7efa, 0x7ef9, 0x7ef8, 0x7ef7, 0x7ef7,
-  0x7ef6, 0x7ef5, 0x7ef4, 0x7ef3, 0x7ef3, 0x7ef2, 0x7ef1, 0x7ef0,
-  0x7eef, 0x7eef, 0x7eee, 0x7eed, 0x7eec, 0x7eeb, 0x7eeb, 0x7eea,
-  0x7ee9, 0x7ee8, 0x7ee7, 0x7ee6, 0x7ee6, 0x7ee5, 0x7ee4, 0x7ee3,
-  0x7ee2, 0x7ee2, 0x7ee1, 0x7ee0, 0x7edf, 0x7ede, 0x7edd, 0x7edd,
-  0x7edc, 0x7edb, 0x7eda, 0x7ed9, 0x7ed8, 0x7ed8, 0x7ed7, 0x7ed6,
-  0x7ed5, 0x7ed4, 0x7ed3, 0x7ed2, 0x7ed2, 0x7ed1, 0x7ed0, 0x7ecf,
-  0x7ece, 0x7ecd, 0x7ecc, 0x7ecc, 0x7ecb, 0x7eca, 0x7ec9, 0x7ec8,
-  0x7ec7, 0x7ec6, 0x7ec6, 0x7ec5, 0x7ec4, 0x7ec3, 0x7ec2, 0x7ec1,
-  0x7ec0, 0x7ebf, 0x7ebf, 0x7ebe, 0x7ebd, 0x7ebc, 0x7ebb, 0x7eba,
-  0x7eb9, 0x7eb8, 0x7eb8, 0x7eb7, 0x7eb6, 0x7eb5, 0x7eb4, 0x7eb3,
-  0x7eb2, 0x7eb1, 0x7eb0, 0x7eaf, 0x7eaf, 0x7eae, 0x7ead, 0x7eac,
-  0x7eab, 0x7eaa, 0x7ea9, 0x7ea8, 0x7ea7, 0x7ea6, 0x7ea6, 0x7ea5,
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-  0x1610, 0x160a, 0x1604, 0x15fd, 0x15f7, 0x15f1, 0x15eb, 0x15e5,
-  0x15de, 0x15d8, 0x15d2, 0x15cc, 0x15c6, 0x15c0, 0x15b9, 0x15b3,
-  0x15ad, 0x15a7, 0x15a1, 0x159a, 0x1594, 0x158e, 0x1588, 0x1582,
-  0x157b, 0x1575, 0x156f, 0x1569, 0x1563, 0x155c, 0x1556, 0x1550,
-  0x154a, 0x1544, 0x153d, 0x1537, 0x1531, 0x152b, 0x1525, 0x151e,
-  0x1518, 0x1512, 0x150c, 0x1506, 0x14ff, 0x14f9, 0x14f3, 0x14ed,
-  0x14e7, 0x14e0, 0x14da, 0x14d4, 0x14ce, 0x14c8, 0x14c1, 0x14bb,
-  0x14b5, 0x14af, 0x14a9, 0x14a2, 0x149c, 0x1496, 0x1490, 0x148a,
-  0x1483, 0x147d, 0x1477, 0x1471, 0x146b, 0x1464, 0x145e, 0x1458,
-  0x1452, 0x144c, 0x1445, 0x143f, 0x1439, 0x1433, 0x142d, 0x1426,
-  0x1420, 0x141a, 0x1414, 0x140e, 0x1407, 0x1401, 0x13fb, 0x13f5,
-  0x13ef, 0x13e8, 0x13e2, 0x13dc, 0x13d6, 0x13d0, 0x13c9, 0x13c3,
-  0x13bd, 0x13b7, 0x13b1, 0x13aa, 0x13a4, 0x139e, 0x1398, 0x1391,
-  0x138b, 0x1385, 0x137f, 0x1379, 0x1372, 0x136c, 0x1366, 0x1360,
-  0x135a, 0x1353, 0x134d, 0x1347, 0x1341, 0x133b, 0x1334, 0x132e,
-  0x1328, 0x1322, 0x131b, 0x1315, 0x130f, 0x1309, 0x1303, 0x12fc,
-  0x12f6, 0x12f0, 0x12ea, 0x12e4, 0x12dd, 0x12d7, 0x12d1, 0x12cb,
-  0x12c4, 0x12be, 0x12b8, 0x12b2, 0x12ac, 0x12a5, 0x129f, 0x1299,
-  0x1293, 0x128d, 0x1286, 0x1280, 0x127a, 0x1274, 0x126d, 0x1267,
-  0x1261, 0x125b, 0x1255, 0x124e, 0x1248, 0x1242, 0x123c, 0x1235,
-  0x122f, 0x1229, 0x1223, 0x121d, 0x1216, 0x1210, 0x120a, 0x1204,
-  0x11fd, 0x11f7, 0x11f1, 0x11eb, 0x11e5, 0x11de, 0x11d8, 0x11d2,
-  0x11cc, 0x11c5, 0x11bf, 0x11b9, 0x11b3, 0x11ad, 0x11a6, 0x11a0,
-  0x119a, 0x1194, 0x118d, 0x1187, 0x1181, 0x117b, 0x1175, 0x116e,
-  0x1168, 0x1162, 0x115c, 0x1155, 0x114f, 0x1149, 0x1143, 0x113d,
-  0x1136, 0x1130, 0x112a, 0x1124, 0x111d, 0x1117, 0x1111, 0x110b,
-  0x1105, 0x10fe, 0x10f8, 0x10f2, 0x10ec, 0x10e5, 0x10df, 0x10d9,
-  0x10d3, 0x10cc, 0x10c6, 0x10c0, 0x10ba, 0x10b4, 0x10ad, 0x10a7,
-  0x10a1, 0x109b, 0x1094, 0x108e, 0x1088, 0x1082, 0x107b, 0x1075,
-  0x106f, 0x1069, 0x1063, 0x105c, 0x1056, 0x1050, 0x104a, 0x1043,
-  0x103d, 0x1037, 0x1031, 0x102a, 0x1024, 0x101e, 0x1018, 0x1012,
-  0x100b, 0x1005, 0xfff, 0xff9, 0xff2, 0xfec, 0xfe6, 0xfe0,
-  0xfd9, 0xfd3, 0xfcd, 0xfc7, 0xfc0, 0xfba, 0xfb4, 0xfae,
-  0xfa8, 0xfa1, 0xf9b, 0xf95, 0xf8f, 0xf88, 0xf82, 0xf7c,
-  0xf76, 0xf6f, 0xf69, 0xf63, 0xf5d, 0xf56, 0xf50, 0xf4a,
-  0xf44, 0xf3e, 0xf37, 0xf31, 0xf2b, 0xf25, 0xf1e, 0xf18,
-  0xf12, 0xf0c, 0xf05, 0xeff, 0xef9, 0xef3, 0xeec, 0xee6,
-  0xee0, 0xeda, 0xed3, 0xecd, 0xec7, 0xec1, 0xeba, 0xeb4,
-  0xeae, 0xea8, 0xea1, 0xe9b, 0xe95, 0xe8f, 0xe89, 0xe82,
-  0xe7c, 0xe76, 0xe70, 0xe69, 0xe63, 0xe5d, 0xe57, 0xe50,
-  0xe4a, 0xe44, 0xe3e, 0xe37, 0xe31, 0xe2b, 0xe25, 0xe1e,
-  0xe18, 0xe12, 0xe0c, 0xe05, 0xdff, 0xdf9, 0xdf3, 0xdec,
-  0xde6, 0xde0, 0xdda, 0xdd3, 0xdcd, 0xdc7, 0xdc1, 0xdba,
-  0xdb4, 0xdae, 0xda8, 0xda1, 0xd9b, 0xd95, 0xd8f, 0xd88,
-  0xd82, 0xd7c, 0xd76, 0xd6f, 0xd69, 0xd63, 0xd5d, 0xd56,
-  0xd50, 0xd4a, 0xd44, 0xd3d, 0xd37, 0xd31, 0xd2b, 0xd24,
-  0xd1e, 0xd18, 0xd12, 0xd0b, 0xd05, 0xcff, 0xcf9, 0xcf2,
-  0xcec, 0xce6, 0xce0, 0xcd9, 0xcd3, 0xccd, 0xcc7, 0xcc0,
-  0xcba, 0xcb4, 0xcae, 0xca7, 0xca1, 0xc9b, 0xc95, 0xc8e,
-  0xc88, 0xc82, 0xc7c, 0xc75, 0xc6f, 0xc69, 0xc63, 0xc5c,
-  0xc56, 0xc50, 0xc4a, 0xc43, 0xc3d, 0xc37, 0xc31, 0xc2a,
-  0xc24, 0xc1e, 0xc18, 0xc11, 0xc0b, 0xc05, 0xbff, 0xbf8,
-  0xbf2, 0xbec, 0xbe6, 0xbdf, 0xbd9, 0xbd3, 0xbcd, 0xbc6,
-  0xbc0, 0xbba, 0xbb4, 0xbad, 0xba7, 0xba1, 0xb9b, 0xb94,
-  0xb8e, 0xb88, 0xb81, 0xb7b, 0xb75, 0xb6f, 0xb68, 0xb62,
-  0xb5c, 0xb56, 0xb4f, 0xb49, 0xb43, 0xb3d, 0xb36, 0xb30,
-  0xb2a, 0xb24, 0xb1d, 0xb17, 0xb11, 0xb0b, 0xb04, 0xafe,
-  0xaf8, 0xaf2, 0xaeb, 0xae5, 0xadf, 0xad8, 0xad2, 0xacc,
-  0xac6, 0xabf, 0xab9, 0xab3, 0xaad, 0xaa6, 0xaa0, 0xa9a,
-  0xa94, 0xa8d, 0xa87, 0xa81, 0xa7b, 0xa74, 0xa6e, 0xa68,
-  0xa62, 0xa5b, 0xa55, 0xa4f, 0xa48, 0xa42, 0xa3c, 0xa36,
-  0xa2f, 0xa29, 0xa23, 0xa1d, 0xa16, 0xa10, 0xa0a, 0xa04,
-  0x9fd, 0x9f7, 0x9f1, 0x9eb, 0x9e4, 0x9de, 0x9d8, 0x9d1,
-  0x9cb, 0x9c5, 0x9bf, 0x9b8, 0x9b2, 0x9ac, 0x9a6, 0x99f,
-  0x999, 0x993, 0x98d, 0x986, 0x980, 0x97a, 0x973, 0x96d,
-  0x967, 0x961, 0x95a, 0x954, 0x94e, 0x948, 0x941, 0x93b,
-  0x935, 0x92f, 0x928, 0x922, 0x91c, 0x915, 0x90f, 0x909,
-  0x903, 0x8fc, 0x8f6, 0x8f0, 0x8ea, 0x8e3, 0x8dd, 0x8d7,
-  0x8d1, 0x8ca, 0x8c4, 0x8be, 0x8b7, 0x8b1, 0x8ab, 0x8a5,
-  0x89e, 0x898, 0x892, 0x88c, 0x885, 0x87f, 0x879, 0x872,
-  0x86c, 0x866, 0x860, 0x859, 0x853, 0x84d, 0x847, 0x840,
-  0x83a, 0x834, 0x82e, 0x827, 0x821, 0x81b, 0x814, 0x80e,
-  0x808, 0x802, 0x7fb, 0x7f5, 0x7ef, 0x7e9, 0x7e2, 0x7dc,
-  0x7d6, 0x7cf, 0x7c9, 0x7c3, 0x7bd, 0x7b6, 0x7b0, 0x7aa,
-  0x7a4, 0x79d, 0x797, 0x791, 0x78a, 0x784, 0x77e, 0x778,
-  0x771, 0x76b, 0x765, 0x75f, 0x758, 0x752, 0x74c, 0x745,
-  0x73f, 0x739, 0x733, 0x72c, 0x726, 0x720, 0x71a, 0x713,
-  0x70d, 0x707, 0x700, 0x6fa, 0x6f4, 0x6ee, 0x6e7, 0x6e1,
-  0x6db, 0x6d5, 0x6ce, 0x6c8, 0x6c2, 0x6bb, 0x6b5, 0x6af,
-  0x6a9, 0x6a2, 0x69c, 0x696, 0x690, 0x689, 0x683, 0x67d,
-  0x676, 0x670, 0x66a, 0x664, 0x65d, 0x657, 0x651, 0x64a,
-  0x644, 0x63e, 0x638, 0x631, 0x62b, 0x625, 0x61f, 0x618,
-  0x612, 0x60c, 0x605, 0x5ff, 0x5f9, 0x5f3, 0x5ec, 0x5e6,
-  0x5e0, 0x5da, 0x5d3, 0x5cd, 0x5c7, 0x5c0, 0x5ba, 0x5b4,
-  0x5ae, 0x5a7, 0x5a1, 0x59b, 0x594, 0x58e, 0x588, 0x582,
-  0x57b, 0x575, 0x56f, 0x569, 0x562, 0x55c, 0x556, 0x54f,
-  0x549, 0x543, 0x53d, 0x536, 0x530, 0x52a, 0x523, 0x51d,
-  0x517, 0x511, 0x50a, 0x504, 0x4fe, 0x4f8, 0x4f1, 0x4eb,
-  0x4e5, 0x4de, 0x4d8, 0x4d2, 0x4cc, 0x4c5, 0x4bf, 0x4b9,
-  0x4b2, 0x4ac, 0x4a6, 0x4a0, 0x499, 0x493, 0x48d, 0x487,
-  0x480, 0x47a, 0x474, 0x46d, 0x467, 0x461, 0x45b, 0x454,
-  0x44e, 0x448, 0x441, 0x43b, 0x435, 0x42f, 0x428, 0x422,
-  0x41c, 0x415, 0x40f, 0x409, 0x403, 0x3fc, 0x3f6, 0x3f0,
-  0x3ea, 0x3e3, 0x3dd, 0x3d7, 0x3d0, 0x3ca, 0x3c4, 0x3be,
-  0x3b7, 0x3b1, 0x3ab, 0x3a4, 0x39e, 0x398, 0x392, 0x38b,
-  0x385, 0x37f, 0x378, 0x372, 0x36c, 0x366, 0x35f, 0x359,
-  0x353, 0x34c, 0x346, 0x340, 0x33a, 0x333, 0x32d, 0x327,
-  0x321, 0x31a, 0x314, 0x30e, 0x307, 0x301, 0x2fb, 0x2f5,
-  0x2ee, 0x2e8, 0x2e2, 0x2db, 0x2d5, 0x2cf, 0x2c9, 0x2c2,
-  0x2bc, 0x2b6, 0x2af, 0x2a9, 0x2a3, 0x29d, 0x296, 0x290,
-  0x28a, 0x283, 0x27d, 0x277, 0x271, 0x26a, 0x264, 0x25e,
-  0x258, 0x251, 0x24b, 0x245, 0x23e, 0x238, 0x232, 0x22c,
-  0x225, 0x21f, 0x219, 0x212, 0x20c, 0x206, 0x200, 0x1f9,
-  0x1f3, 0x1ed, 0x1e6, 0x1e0, 0x1da, 0x1d4, 0x1cd, 0x1c7,
-  0x1c1, 0x1ba, 0x1b4, 0x1ae, 0x1a8, 0x1a1, 0x19b, 0x195,
-  0x18e, 0x188, 0x182, 0x17c, 0x175, 0x16f, 0x169, 0x162,
-  0x15c, 0x156, 0x150, 0x149, 0x143, 0x13d, 0x137, 0x130,
-  0x12a, 0x124, 0x11d, 0x117, 0x111, 0x10b, 0x104, 0xfe,
-  0xf8, 0xf1, 0xeb, 0xe5, 0xdf, 0xd8, 0xd2, 0xcc,
-  0xc5, 0xbf, 0xb9, 0xb3, 0xac, 0xa6, 0xa0, 0x99,
-  0x93, 0x8d, 0x87, 0x80, 0x7a, 0x74, 0x6d, 0x67,
-  0x61, 0x5b, 0x54, 0x4e, 0x48, 0x41, 0x3b, 0x35,
-  0x2f, 0x28, 0x22, 0x1c, 0x15, 0xf, 0x9, 0x3,
-};
-
-/**    
- * @brief  Initialization function for the Q15 DCT4/IDCT4.   
- * @param[in,out] *S         points to an instance of Q15 DCT4/IDCT4 structure.   
- * @param[in]     *S_RFFT    points to an instance of Q15 RFFT/RIFFT structure.   
- * @param[in]     *S_CFFT    points to an instance of Q15 CFFT/CIFFT structure.   
- * @param[in]     N          length of the DCT4.   
- * @param[in]     Nby2       half of the length of the DCT4.   
- * @param[in]     normalize  normalizing factor.   
- * @return  	  arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.   
- * \par Normalizing factor:    
- * The normalizing factor is sqrt(2/N), which depends on the size of transform N.    
- * Normalizing factors in 1.15 format are mentioned in the table below for different DCT sizes:    
- * \image html dct4NormalizingQ15Table.gif    
- */
-
-arm_status arm_dct4_init_q15(
-  arm_dct4_instance_q15 * S,
-  arm_rfft_instance_q15 * S_RFFT,
-  arm_cfft_radix4_instance_q15 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  q15_t normalize)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /* Initializing the pointer array with the weight table base addresses of different lengths */
-  q15_t *twiddlePtr[4] = { (q15_t *) WeightsQ15_128, (q15_t *) WeightsQ15_512,
-    (q15_t *) WeightsQ15_2048, (q15_t *) WeightsQ15_8192
-  };
-
-  /* Initializing the pointer array with the cos factor table base addresses of different lengths */
-  q15_t *pCosFactor[4] =
-    { (q15_t *) cos_factorsQ15_128, (q15_t *) cos_factorsQ15_512,
-    (q15_t *) cos_factorsQ15_2048, (q15_t *) cos_factorsQ15_8192
-  };
-
-  /* Initialize the DCT4 length */
-  S->N = N;
-
-  /* Initialize the half of DCT4 length */
-  S->Nby2 = Nby2;
-
-  /* Initialize the DCT4 Normalizing factor */
-  S->normalize = normalize;
-
-  /* Initialize Real FFT Instance */
-  S->pRfft = S_RFFT;
-
-  /* Initialize Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  switch (N)
-  {
-    /* Initialize the table modifier values */
-  case 8192u:
-    S->pTwiddle = twiddlePtr[3];
-    S->pCosFactor = pCosFactor[3];
-    break;
-  case 2048u:
-    S->pTwiddle = twiddlePtr[2];
-    S->pCosFactor = pCosFactor[2];
-    break;
-  case 512u:
-    S->pTwiddle = twiddlePtr[1];
-    S->pCosFactor = pCosFactor[1];
-    break;
-  case 128u:
-    S->pTwiddle = twiddlePtr[0];
-    S->pCosFactor = pCosFactor[0];
-    break;
-  default:
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-
-  /* Initialize the RFFT/RIFFT */
-  arm_rfft_init_q15(S->pRfft, S->N, 0u, 1u);
-
-  /* return the status of DCT4 Init function */
-  return (status);
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q31.c
deleted file mode 100644
index 1aa9081f..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q31.c
+++ /dev/null
@@ -1,8364 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_init_q31.c    
-*    
-* Description:	Initialization function of DCT-4 & IDCT4 Q31    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/*    
-* @brief  Weights Table    
-*/
-
-/**    
-* \par    
-* Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
    
-* \par    
-* C command to generate the table    
-* 
    
-* for(i = 0; i< N; i++)    
-* {    
-*   weights[2*i]= cos(i*c);    
-*   weights[(2*i)+1]= -sin(i * c);    
-* } 
    
-* \par    
-* where N is the Number of weights to be calculated and c is pi/(2*N)    
-* \par    
-* Convert the output to q31 format by multiplying with 2^31 and saturated if required.    
-* \par    
-* In the tables below the real and imaginary values are placed alternatively, hence the    
-* array length is 2*N.    
-*/
-
-static const q31_t WeightsQ31_128[256] = {
-  0x7fffffff, 0x0, 0x7ffd885a, 0xfe6de2e0, 0x7ff62182, 0xfcdbd541, 0x7fe9cbc0,
-  0xfb49e6a3,
-  0x7fd8878e, 0xf9b82684, 0x7fc25596, 0xf826a462, 0x7fa736b4, 0xf6956fb7,
-  0x7f872bf3, 0xf50497fb,
-  0x7f62368f, 0xf3742ca2, 0x7f3857f6, 0xf1e43d1c, 0x7f0991c4, 0xf054d8d5,
-  0x7ed5e5c6, 0xeec60f31,
-  0x7e9d55fc, 0xed37ef91, 0x7e5fe493, 0xebaa894f, 0x7e1d93ea, 0xea1debbb,
-  0x7dd6668f, 0xe8922622,
-  0x7d8a5f40, 0xe70747c4, 0x7d3980ec, 0xe57d5fda, 0x7ce3ceb2, 0xe3f47d96,
-  0x7c894bde, 0xe26cb01b,
-  0x7c29fbee, 0xe0e60685, 0x7bc5e290, 0xdf608fe4, 0x7b5d039e, 0xdddc5b3b,
-  0x7aef6323, 0xdc597781,
-  0x7a7d055b, 0xdad7f3a2, 0x7a05eead, 0xd957de7a, 0x798a23b1, 0xd7d946d8,
-  0x7909a92d, 0xd65c3b7b,
-  0x78848414, 0xd4e0cb15, 0x77fab989, 0xd3670446, 0x776c4edb, 0xd1eef59e,
-  0x76d94989, 0xd078ad9e,
-  0x7641af3d, 0xcf043ab3, 0x75a585cf, 0xcd91ab39, 0x7504d345, 0xcc210d79,
-  0x745f9dd1, 0xcab26fa9,
-  0x73b5ebd1, 0xc945dfec, 0x7307c3d0, 0xc7db6c50, 0x72552c85, 0xc67322ce,
-  0x719e2cd2, 0xc50d1149,
-  0x70e2cbc6, 0xc3a94590, 0x7023109a, 0xc247cd5a, 0x6f5f02b2, 0xc0e8b648,
-  0x6e96a99d, 0xbf8c0de3,
-  0x6dca0d14, 0xbe31e19b, 0x6cf934fc, 0xbcda3ecb, 0x6c242960, 0xbb8532b0,
-  0x6b4af279, 0xba32ca71,
-  0x6a6d98a4, 0xb8e31319, 0x698c246c, 0xb796199b, 0x68a69e81, 0xb64beacd,
-  0x67bd0fbd, 0xb5049368,
-  0x66cf8120, 0xb3c0200c, 0x65ddfbd3, 0xb27e9d3c, 0x64e88926, 0xb140175b,
-  0x63ef3290, 0xb0049ab3,
-  0x62f201ac, 0xaecc336c, 0x61f1003f, 0xad96ed92, 0x60ec3830, 0xac64d510,
-  0x5fe3b38d, 0xab35f5b5,
-  0x5ed77c8a, 0xaa0a5b2e, 0x5dc79d7c, 0xa8e21106, 0x5cb420e0, 0xa7bd22ac,
-  0x5b9d1154, 0xa69b9b68,
-  0x5a82799a, 0xa57d8666, 0x59646498, 0xa462eeac, 0x5842dd54, 0xa34bdf20,
-  0x571deefa, 0xa2386284,
-  0x55f5a4d2, 0xa1288376, 0x54ca0a4b, 0xa01c4c73, 0x539b2af0, 0x9f13c7d0,
-  0x5269126e, 0x9e0effc1,
-  0x5133cc94, 0x9d0dfe54, 0x4ffb654d, 0x9c10cd70, 0x4ebfe8a5, 0x9b1776da,
-  0x4d8162c4, 0x9a22042d,
-  0x4c3fdff4, 0x99307ee0, 0x4afb6c98, 0x9842f043, 0x49b41533, 0x9759617f,
-  0x4869e665, 0x9673db94,
-  0x471cece7, 0x9592675c, 0x45cd358f, 0x94b50d87, 0x447acd50, 0x93dbd6a0,
-  0x4325c135, 0x9306cb04,
-  0x41ce1e65, 0x9235f2ec, 0x4073f21d, 0x91695663, 0x3f1749b8, 0x90a0fd4e,
-  0x3db832a6, 0x8fdcef66,
-  0x3c56ba70, 0x8f1d343a, 0x3af2eeb7, 0x8e61d32e, 0x398cdd32, 0x8daad37b,
-  0x382493b0, 0x8cf83c30,
-  0x36ba2014, 0x8c4a142f, 0x354d9057, 0x8ba0622f, 0x33def287, 0x8afb2cbb,
-  0x326e54c7, 0x8a5a7a31,
-  0x30fbc54d, 0x89be50c3, 0x2f875262, 0x8926b677, 0x2e110a62, 0x8893b125,
-  0x2c98fbba, 0x88054677,
-  0x2b1f34eb, 0x877b7bec, 0x29a3c485, 0x86f656d3, 0x2826b928, 0x8675dc4f,
-  0x26a82186, 0x85fa1153,
-  0x25280c5e, 0x8582faa5, 0x23a6887f, 0x85109cdd, 0x2223a4c5, 0x84a2fc62,
-  0x209f701c, 0x843a1d70,
-  0x1f19f97b, 0x83d60412, 0x1d934fe5, 0x8376b422, 0x1c0b826a, 0x831c314e,
-  0x1a82a026, 0x82c67f14,
-  0x18f8b83c, 0x8275a0c0, 0x176dd9de, 0x82299971, 0x15e21445, 0x81e26c16,
-  0x145576b1, 0x81a01b6d,
-  0x12c8106f, 0x8162aa04, 0x1139f0cf, 0x812a1a3a, 0xfab272b, 0x80f66e3c,
-  0xe1bc2e4, 0x80c7a80a,
-  0xc8bd35e, 0x809dc971, 0xafb6805, 0x8078d40d, 0x96a9049, 0x8058c94c,
-  0x7d95b9e, 0x803daa6a,
-  0x647d97c, 0x80277872, 0x4b6195d, 0x80163440, 0x3242abf, 0x8009de7e,
-  0x1921d20, 0x800277a6,
-};
-
-static const q31_t WeightsQ31_512[1024] = {
-  0x7fffffff, 0x0, 0x7fffd886, 0xff9b781d, 0x7fff6216, 0xff36f078, 0x7ffe9cb2,
-  0xfed2694f,
-  0x7ffd885a, 0xfe6de2e0, 0x7ffc250f, 0xfe095d69, 0x7ffa72d1, 0xfda4d929,
-  0x7ff871a2, 0xfd40565c,
-  0x7ff62182, 0xfcdbd541, 0x7ff38274, 0xfc775616, 0x7ff09478, 0xfc12d91a,
-  0x7fed5791, 0xfbae5e89,
-  0x7fe9cbc0, 0xfb49e6a3, 0x7fe5f108, 0xfae571a4, 0x7fe1c76b, 0xfa80ffcb,
-  0x7fdd4eec, 0xfa1c9157,
-  0x7fd8878e, 0xf9b82684, 0x7fd37153, 0xf953bf91, 0x7fce0c3e, 0xf8ef5cbb,
-  0x7fc85854, 0xf88afe42,
-  0x7fc25596, 0xf826a462, 0x7fbc040a, 0xf7c24f59, 0x7fb563b3, 0xf75dff66,
-  0x7fae7495, 0xf6f9b4c6,
-  0x7fa736b4, 0xf6956fb7, 0x7f9faa15, 0xf6313077, 0x7f97cebd, 0xf5ccf743,
-  0x7f8fa4b0, 0xf568c45b,
-  0x7f872bf3, 0xf50497fb, 0x7f7e648c, 0xf4a07261, 0x7f754e80, 0xf43c53cb,
-  0x7f6be9d4, 0xf3d83c77,
-  0x7f62368f, 0xf3742ca2, 0x7f5834b7, 0xf310248a, 0x7f4de451, 0xf2ac246e,
-  0x7f434563, 0xf2482c8a,
-  0x7f3857f6, 0xf1e43d1c, 0x7f2d1c0e, 0xf1805662, 0x7f2191b4, 0xf11c789a,
-  0x7f15b8ee, 0xf0b8a401,
-  0x7f0991c4, 0xf054d8d5, 0x7efd1c3c, 0xeff11753, 0x7ef05860, 0xef8d5fb8,
-  0x7ee34636, 0xef29b243,
-  0x7ed5e5c6, 0xeec60f31, 0x7ec8371a, 0xee6276bf, 0x7eba3a39, 0xedfee92b,
-  0x7eabef2c, 0xed9b66b2,
-  0x7e9d55fc, 0xed37ef91, 0x7e8e6eb2, 0xecd48407, 0x7e7f3957, 0xec71244f,
-  0x7e6fb5f4, 0xec0dd0a8,
-  0x7e5fe493, 0xebaa894f, 0x7e4fc53e, 0xeb474e81, 0x7e3f57ff, 0xeae4207a,
-  0x7e2e9cdf, 0xea80ff7a,
-  0x7e1d93ea, 0xea1debbb, 0x7e0c3d29, 0xe9bae57d, 0x7dfa98a8, 0xe957ecfb,
-  0x7de8a670, 0xe8f50273,
-  0x7dd6668f, 0xe8922622, 0x7dc3d90d, 0xe82f5844, 0x7db0fdf8, 0xe7cc9917,
-  0x7d9dd55a, 0xe769e8d8,
-  0x7d8a5f40, 0xe70747c4, 0x7d769bb5, 0xe6a4b616, 0x7d628ac6, 0xe642340d,
-  0x7d4e2c7f, 0xe5dfc1e5,
-  0x7d3980ec, 0xe57d5fda, 0x7d24881b, 0xe51b0e2a, 0x7d0f4218, 0xe4b8cd11,
-  0x7cf9aef0, 0xe4569ccb,
-  0x7ce3ceb2, 0xe3f47d96, 0x7ccda169, 0xe3926fad, 0x7cb72724, 0xe330734d,
-  0x7ca05ff1, 0xe2ce88b3,
-  0x7c894bde, 0xe26cb01b, 0x7c71eaf9, 0xe20ae9c1, 0x7c5a3d50, 0xe1a935e2,
-  0x7c4242f2, 0xe14794ba,
-  0x7c29fbee, 0xe0e60685, 0x7c116853, 0xe0848b7f, 0x7bf88830, 0xe02323e5,
-  0x7bdf5b94, 0xdfc1cff3,
-  0x7bc5e290, 0xdf608fe4, 0x7bac1d31, 0xdeff63f4, 0x7b920b89, 0xde9e4c60,
-  0x7b77ada8, 0xde3d4964,
-  0x7b5d039e, 0xdddc5b3b, 0x7b420d7a, 0xdd7b8220, 0x7b26cb4f, 0xdd1abe51,
-  0x7b0b3d2c, 0xdcba1008,
-  0x7aef6323, 0xdc597781, 0x7ad33d45, 0xdbf8f4f8, 0x7ab6cba4, 0xdb9888a8,
-  0x7a9a0e50, 0xdb3832cd,
-  0x7a7d055b, 0xdad7f3a2, 0x7a5fb0d8, 0xda77cb63, 0x7a4210d8, 0xda17ba4a,
-  0x7a24256f, 0xd9b7c094,
-  0x7a05eead, 0xd957de7a, 0x79e76ca7, 0xd8f81439, 0x79c89f6e, 0xd898620c,
-  0x79a98715, 0xd838c82d,
-  0x798a23b1, 0xd7d946d8, 0x796a7554, 0xd779de47, 0x794a7c12, 0xd71a8eb5,
-  0x792a37fe, 0xd6bb585e,
-  0x7909a92d, 0xd65c3b7b, 0x78e8cfb2, 0xd5fd3848, 0x78c7aba2, 0xd59e4eff,
-  0x78a63d11, 0xd53f7fda,
-  0x78848414, 0xd4e0cb15, 0x786280bf, 0xd48230e9, 0x78403329, 0xd423b191,
-  0x781d9b65, 0xd3c54d47,
-  0x77fab989, 0xd3670446, 0x77d78daa, 0xd308d6c7, 0x77b417df, 0xd2aac504,
-  0x7790583e, 0xd24ccf39,
-  0x776c4edb, 0xd1eef59e, 0x7747fbce, 0xd191386e, 0x77235f2d, 0xd13397e2,
-  0x76fe790e, 0xd0d61434,
-  0x76d94989, 0xd078ad9e, 0x76b3d0b4, 0xd01b6459, 0x768e0ea6, 0xcfbe389f,
-  0x76680376, 0xcf612aaa,
-  0x7641af3d, 0xcf043ab3, 0x761b1211, 0xcea768f2, 0x75f42c0b, 0xce4ab5a2,
-  0x75ccfd42, 0xcdee20fc,
-  0x75a585cf, 0xcd91ab39, 0x757dc5ca, 0xcd355491, 0x7555bd4c, 0xccd91d3d,
-  0x752d6c6c, 0xcc7d0578,
-  0x7504d345, 0xcc210d79, 0x74dbf1ef, 0xcbc53579, 0x74b2c884, 0xcb697db0,
-  0x7489571c, 0xcb0de658,
-  0x745f9dd1, 0xcab26fa9, 0x74359cbd, 0xca5719db, 0x740b53fb, 0xc9fbe527,
-  0x73e0c3a3, 0xc9a0d1c5,
-  0x73b5ebd1, 0xc945dfec, 0x738acc9e, 0xc8eb0fd6, 0x735f6626, 0xc89061ba,
-  0x7333b883, 0xc835d5d0,
-  0x7307c3d0, 0xc7db6c50, 0x72db8828, 0xc7812572, 0x72af05a7, 0xc727016d,
-  0x72823c67, 0xc6cd0079,
-  0x72552c85, 0xc67322ce, 0x7227d61c, 0xc61968a2, 0x71fa3949, 0xc5bfd22e,
-  0x71cc5626, 0xc5665fa9,
-  0x719e2cd2, 0xc50d1149, 0x716fbd68, 0xc4b3e746, 0x71410805, 0xc45ae1d7,
-  0x71120cc5, 0xc4020133,
-  0x70e2cbc6, 0xc3a94590, 0x70b34525, 0xc350af26, 0x708378ff, 0xc2f83e2a,
-  0x70536771, 0xc29ff2d4,
-  0x7023109a, 0xc247cd5a, 0x6ff27497, 0xc1efcdf3, 0x6fc19385, 0xc197f4d4,
-  0x6f906d84, 0xc1404233,
-  0x6f5f02b2, 0xc0e8b648, 0x6f2d532c, 0xc0915148, 0x6efb5f12, 0xc03a1368,
-  0x6ec92683, 0xbfe2fcdf,
-  0x6e96a99d, 0xbf8c0de3, 0x6e63e87f, 0xbf3546a8, 0x6e30e34a, 0xbedea765,
-  0x6dfd9a1c, 0xbe88304f,
-  0x6dca0d14, 0xbe31e19b, 0x6d963c54, 0xbddbbb7f, 0x6d6227fa, 0xbd85be30,
-  0x6d2dd027, 0xbd2fe9e2,
-  0x6cf934fc, 0xbcda3ecb, 0x6cc45698, 0xbc84bd1f, 0x6c8f351c, 0xbc2f6513,
-  0x6c59d0a9, 0xbbda36dd,
-  0x6c242960, 0xbb8532b0, 0x6bee3f62, 0xbb3058c0, 0x6bb812d1, 0xbadba943,
-  0x6b81a3cd, 0xba87246d,
-  0x6b4af279, 0xba32ca71, 0x6b13fef5, 0xb9de9b83, 0x6adcc964, 0xb98a97d8,
-  0x6aa551e9, 0xb936bfa4,
-  0x6a6d98a4, 0xb8e31319, 0x6a359db9, 0xb88f926d, 0x69fd614a, 0xb83c3dd1,
-  0x69c4e37a, 0xb7e9157a,
-  0x698c246c, 0xb796199b, 0x69532442, 0xb7434a67, 0x6919e320, 0xb6f0a812,
-  0x68e06129, 0xb69e32cd,
-  0x68a69e81, 0xb64beacd, 0x686c9b4b, 0xb5f9d043, 0x683257ab, 0xb5a7e362,
-  0x67f7d3c5, 0xb556245e,
-  0x67bd0fbd, 0xb5049368, 0x67820bb7, 0xb4b330b3, 0x6746c7d8, 0xb461fc70,
-  0x670b4444, 0xb410f6d3,
-  0x66cf8120, 0xb3c0200c, 0x66937e91, 0xb36f784f, 0x66573cbb, 0xb31effcc,
-  0x661abbc5, 0xb2ceb6b5,
-  0x65ddfbd3, 0xb27e9d3c, 0x65a0fd0b, 0xb22eb392, 0x6563bf92, 0xb1def9e9,
-  0x6526438f, 0xb18f7071,
-  0x64e88926, 0xb140175b, 0x64aa907f, 0xb0f0eeda, 0x646c59bf, 0xb0a1f71d,
-  0x642de50d, 0xb0533055,
-  0x63ef3290, 0xb0049ab3, 0x63b0426d, 0xafb63667, 0x637114cc, 0xaf6803a2,
-  0x6331a9d4, 0xaf1a0293,
-  0x62f201ac, 0xaecc336c, 0x62b21c7b, 0xae7e965b, 0x6271fa69, 0xae312b92,
-  0x62319b9d, 0xade3f33e,
-  0x61f1003f, 0xad96ed92, 0x61b02876, 0xad4a1aba, 0x616f146c, 0xacfd7ae8,
-  0x612dc447, 0xacb10e4b,
-  0x60ec3830, 0xac64d510, 0x60aa7050, 0xac18cf69, 0x60686ccf, 0xabccfd83,
-  0x60262dd6, 0xab815f8d,
-  0x5fe3b38d, 0xab35f5b5, 0x5fa0fe1f, 0xaaeac02c, 0x5f5e0db3, 0xaa9fbf1e,
-  0x5f1ae274, 0xaa54f2ba,
-  0x5ed77c8a, 0xaa0a5b2e, 0x5e93dc1f, 0xa9bff8a8, 0x5e50015d, 0xa975cb57,
-  0x5e0bec6e, 0xa92bd367,
-  0x5dc79d7c, 0xa8e21106, 0x5d8314b1, 0xa8988463, 0x5d3e5237, 0xa84f2daa,
-  0x5cf95638, 0xa8060d08,
-  0x5cb420e0, 0xa7bd22ac, 0x5c6eb258, 0xa7746ec0, 0x5c290acc, 0xa72bf174,
-  0x5be32a67, 0xa6e3aaf2,
-  0x5b9d1154, 0xa69b9b68, 0x5b56bfbd, 0xa653c303, 0x5b1035cf, 0xa60c21ee,
-  0x5ac973b5, 0xa5c4b855,
-  0x5a82799a, 0xa57d8666, 0x5a3b47ab, 0xa5368c4b, 0x59f3de12, 0xa4efca31,
-  0x59ac3cfd, 0xa4a94043,
-  0x59646498, 0xa462eeac, 0x591c550e, 0xa41cd599, 0x58d40e8c, 0xa3d6f534,
-  0x588b9140, 0xa3914da8,
-  0x5842dd54, 0xa34bdf20, 0x57f9f2f8, 0xa306a9c8, 0x57b0d256, 0xa2c1adc9,
-  0x57677b9d, 0xa27ceb4f,
-  0x571deefa, 0xa2386284, 0x56d42c99, 0xa1f41392, 0x568a34a9, 0xa1affea3,
-  0x56400758, 0xa16c23e1,
-  0x55f5a4d2, 0xa1288376, 0x55ab0d46, 0xa0e51d8c, 0x556040e2, 0xa0a1f24d,
-  0x55153fd4, 0xa05f01e1,
-  0x54ca0a4b, 0xa01c4c73, 0x547ea073, 0x9fd9d22a, 0x5433027d, 0x9f979331,
-  0x53e73097, 0x9f558fb0,
-  0x539b2af0, 0x9f13c7d0, 0x534ef1b5, 0x9ed23bb9, 0x53028518, 0x9e90eb94,
-  0x52b5e546, 0x9e4fd78a,
-  0x5269126e, 0x9e0effc1, 0x521c0cc2, 0x9dce6463, 0x51ced46e, 0x9d8e0597,
-  0x518169a5, 0x9d4de385,
-  0x5133cc94, 0x9d0dfe54, 0x50e5fd6d, 0x9cce562c, 0x5097fc5e, 0x9c8eeb34,
-  0x5049c999, 0x9c4fbd93,
-  0x4ffb654d, 0x9c10cd70, 0x4faccfab, 0x9bd21af3, 0x4f5e08e3, 0x9b93a641,
-  0x4f0f1126, 0x9b556f81,
-  0x4ebfe8a5, 0x9b1776da, 0x4e708f8f, 0x9ad9bc71, 0x4e210617, 0x9a9c406e,
-  0x4dd14c6e, 0x9a5f02f5,
-  0x4d8162c4, 0x9a22042d, 0x4d31494b, 0x99e5443b, 0x4ce10034, 0x99a8c345,
-  0x4c9087b1, 0x996c816f,
-  0x4c3fdff4, 0x99307ee0, 0x4bef092d, 0x98f4bbbc, 0x4b9e0390, 0x98b93828,
-  0x4b4ccf4d, 0x987df449,
-  0x4afb6c98, 0x9842f043, 0x4aa9dba2, 0x98082c3b, 0x4a581c9e, 0x97cda855,
-  0x4a062fbd, 0x979364b5,
-  0x49b41533, 0x9759617f, 0x4961cd33, 0x971f9ed7, 0x490f57ee, 0x96e61ce0,
-  0x48bcb599, 0x96acdbbe,
-  0x4869e665, 0x9673db94, 0x4816ea86, 0x963b1c86, 0x47c3c22f, 0x96029eb6,
-  0x47706d93, 0x95ca6247,
-  0x471cece7, 0x9592675c, 0x46c9405c, 0x955aae17, 0x46756828, 0x9523369c,
-  0x4621647d, 0x94ec010b,
-  0x45cd358f, 0x94b50d87, 0x4578db93, 0x947e5c33, 0x452456bd, 0x9447ed2f,
-  0x44cfa740, 0x9411c09e,
-  0x447acd50, 0x93dbd6a0, 0x4425c923, 0x93a62f57, 0x43d09aed, 0x9370cae4,
-  0x437b42e1, 0x933ba968,
-  0x4325c135, 0x9306cb04, 0x42d0161e, 0x92d22fd9, 0x427a41d0, 0x929dd806,
-  0x42244481, 0x9269c3ac,
-  0x41ce1e65, 0x9235f2ec, 0x4177cfb1, 0x920265e4, 0x4121589b, 0x91cf1cb6,
-  0x40cab958, 0x919c1781,
-  0x4073f21d, 0x91695663, 0x401d0321, 0x9136d97d, 0x3fc5ec98, 0x9104a0ee,
-  0x3f6eaeb8, 0x90d2acd4,
-  0x3f1749b8, 0x90a0fd4e, 0x3ebfbdcd, 0x906f927c, 0x3e680b2c, 0x903e6c7b,
-  0x3e10320d, 0x900d8b69,
-  0x3db832a6, 0x8fdcef66, 0x3d600d2c, 0x8fac988f, 0x3d07c1d6, 0x8f7c8701,
-  0x3caf50da, 0x8f4cbadb,
-  0x3c56ba70, 0x8f1d343a, 0x3bfdfecd, 0x8eedf33b, 0x3ba51e29, 0x8ebef7fb,
-  0x3b4c18ba, 0x8e904298,
-  0x3af2eeb7, 0x8e61d32e, 0x3a99a057, 0x8e33a9da, 0x3a402dd2, 0x8e05c6b7,
-  0x39e6975e, 0x8dd829e4,
-  0x398cdd32, 0x8daad37b, 0x3932ff87, 0x8d7dc399, 0x38d8fe93, 0x8d50fa59,
-  0x387eda8e, 0x8d2477d8,
-  0x382493b0, 0x8cf83c30, 0x37ca2a30, 0x8ccc477d, 0x376f9e46, 0x8ca099da,
-  0x3714f02a, 0x8c753362,
-  0x36ba2014, 0x8c4a142f, 0x365f2e3b, 0x8c1f3c5d, 0x36041ad9, 0x8bf4ac05,
-  0x35a8e625, 0x8bca6343,
-  0x354d9057, 0x8ba0622f, 0x34f219a8, 0x8b76a8e4, 0x34968250, 0x8b4d377c,
-  0x343aca87, 0x8b240e11,
-  0x33def287, 0x8afb2cbb, 0x3382fa88, 0x8ad29394, 0x3326e2c3, 0x8aaa42b4,
-  0x32caab6f, 0x8a823a36,
-  0x326e54c7, 0x8a5a7a31, 0x3211df04, 0x8a3302be, 0x31b54a5e, 0x8a0bd3f5,
-  0x3158970e, 0x89e4edef,
-  0x30fbc54d, 0x89be50c3, 0x309ed556, 0x8997fc8a, 0x3041c761, 0x8971f15a,
-  0x2fe49ba7, 0x894c2f4c,
-  0x2f875262, 0x8926b677, 0x2f29ebcc, 0x890186f2, 0x2ecc681e, 0x88dca0d3,
-  0x2e6ec792, 0x88b80432,
-  0x2e110a62, 0x8893b125, 0x2db330c7, 0x886fa7c2, 0x2d553afc, 0x884be821,
-  0x2cf72939, 0x88287256,
-  0x2c98fbba, 0x88054677, 0x2c3ab2b9, 0x87e2649b, 0x2bdc4e6f, 0x87bfccd7,
-  0x2b7dcf17, 0x879d7f41,
-  0x2b1f34eb, 0x877b7bec, 0x2ac08026, 0x8759c2ef, 0x2a61b101, 0x8738545e,
-  0x2a02c7b8, 0x8717304e,
-  0x29a3c485, 0x86f656d3, 0x2944a7a2, 0x86d5c802, 0x28e5714b, 0x86b583ee,
-  0x288621b9, 0x86958aac,
-  0x2826b928, 0x8675dc4f, 0x27c737d3, 0x865678eb, 0x27679df4, 0x86376092,
-  0x2707ebc7, 0x86189359,
-  0x26a82186, 0x85fa1153, 0x26483f6c, 0x85dbda91, 0x25e845b6, 0x85bdef28,
-  0x2588349d, 0x85a04f28,
-  0x25280c5e, 0x8582faa5, 0x24c7cd33, 0x8565f1b0, 0x24677758, 0x8549345c,
-  0x24070b08, 0x852cc2bb,
-  0x23a6887f, 0x85109cdd, 0x2345eff8, 0x84f4c2d4, 0x22e541af, 0x84d934b1,
-  0x22847de0, 0x84bdf286,
-  0x2223a4c5, 0x84a2fc62, 0x21c2b69c, 0x84885258, 0x2161b3a0, 0x846df477,
-  0x21009c0c, 0x8453e2cf,
-  0x209f701c, 0x843a1d70, 0x203e300d, 0x8420a46c, 0x1fdcdc1b, 0x840777d0,
-  0x1f7b7481, 0x83ee97ad,
-  0x1f19f97b, 0x83d60412, 0x1eb86b46, 0x83bdbd0e, 0x1e56ca1e, 0x83a5c2b0,
-  0x1df5163f, 0x838e1507,
-  0x1d934fe5, 0x8376b422, 0x1d31774d, 0x835fa00f, 0x1ccf8cb3, 0x8348d8dc,
-  0x1c6d9053, 0x83325e97,
-  0x1c0b826a, 0x831c314e, 0x1ba96335, 0x83065110, 0x1b4732ef, 0x82f0bde8,
-  0x1ae4f1d6, 0x82db77e5,
-  0x1a82a026, 0x82c67f14, 0x1a203e1b, 0x82b1d381, 0x19bdcbf3, 0x829d753a,
-  0x195b49ea, 0x8289644b,
-  0x18f8b83c, 0x8275a0c0, 0x18961728, 0x82622aa6, 0x183366e9, 0x824f0208,
-  0x17d0a7bc, 0x823c26f3,
-  0x176dd9de, 0x82299971, 0x170afd8d, 0x82175990, 0x16a81305, 0x82056758,
-  0x16451a83, 0x81f3c2d7,
-  0x15e21445, 0x81e26c16, 0x157f0086, 0x81d16321, 0x151bdf86, 0x81c0a801,
-  0x14b8b17f, 0x81b03ac2,
-  0x145576b1, 0x81a01b6d, 0x13f22f58, 0x81904a0c, 0x138edbb1, 0x8180c6a9,
-  0x132b7bf9, 0x8171914e,
-  0x12c8106f, 0x8162aa04, 0x1264994e, 0x815410d4, 0x120116d5, 0x8145c5c7,
-  0x119d8941, 0x8137c8e6,
-  0x1139f0cf, 0x812a1a3a, 0x10d64dbd, 0x811cb9ca, 0x1072a048, 0x810fa7a0,
-  0x100ee8ad, 0x8102e3c4,
-  0xfab272b, 0x80f66e3c, 0xf475bff, 0x80ea4712, 0xee38766, 0x80de6e4c,
-  0xe7fa99e, 0x80d2e3f2,
-  0xe1bc2e4, 0x80c7a80a, 0xdb7d376, 0x80bcba9d, 0xd53db92, 0x80b21baf,
-  0xcefdb76, 0x80a7cb49,
-  0xc8bd35e, 0x809dc971, 0xc27c389, 0x8094162c, 0xbc3ac35, 0x808ab180,
-  0xb5f8d9f, 0x80819b74,
-  0xafb6805, 0x8078d40d, 0xa973ba5, 0x80705b50, 0xa3308bd, 0x80683143,
-  0x9cecf89, 0x806055eb,
-  0x96a9049, 0x8058c94c, 0x9064b3a, 0x80518b6b, 0x8a2009a, 0x804a9c4d,
-  0x83db0a7, 0x8043fbf6,
-  0x7d95b9e, 0x803daa6a, 0x77501be, 0x8037a7ac, 0x710a345, 0x8031f3c2,
-  0x6ac406f, 0x802c8ead,
-  0x647d97c, 0x80277872, 0x5e36ea9, 0x8022b114, 0x57f0035, 0x801e3895,
-  0x51a8e5c, 0x801a0ef8,
-  0x4b6195d, 0x80163440, 0x451a177, 0x8012a86f, 0x3ed26e6, 0x800f6b88,
-  0x388a9ea, 0x800c7d8c,
-  0x3242abf, 0x8009de7e, 0x2bfa9a4, 0x80078e5e, 0x25b26d7, 0x80058d2f,
-  0x1f6a297, 0x8003daf1,
-  0x1921d20, 0x800277a6, 0x12d96b1, 0x8001634e, 0xc90f88, 0x80009dea,
-  0x6487e3, 0x8000277a,
-};
-
-static const q31_t WeightsQ31_2048[4096] = {
-  0x7fffffff, 0x0, 0x7ffffd88, 0xffe6de05, 0x7ffff621, 0xffcdbc0b, 0x7fffe9cb,
-  0xffb49a12,
-  0x7fffd886, 0xff9b781d, 0x7fffc251, 0xff82562c, 0x7fffa72c, 0xff69343f,
-  0x7fff8719, 0xff501258,
-  0x7fff6216, 0xff36f078, 0x7fff3824, 0xff1dcea0, 0x7fff0943, 0xff04acd0,
-  0x7ffed572, 0xfeeb8b0a,
-  0x7ffe9cb2, 0xfed2694f, 0x7ffe5f03, 0xfeb947a0, 0x7ffe1c65, 0xfea025fd,
-  0x7ffdd4d7, 0xfe870467,
-  0x7ffd885a, 0xfe6de2e0, 0x7ffd36ee, 0xfe54c169, 0x7ffce093, 0xfe3ba002,
-  0x7ffc8549, 0xfe227eac,
-  0x7ffc250f, 0xfe095d69, 0x7ffbbfe6, 0xfdf03c3a, 0x7ffb55ce, 0xfdd71b1e,
-  0x7ffae6c7, 0xfdbdfa18,
-  0x7ffa72d1, 0xfda4d929, 0x7ff9f9ec, 0xfd8bb850, 0x7ff97c18, 0xfd729790,
-  0x7ff8f954, 0xfd5976e9,
-  0x7ff871a2, 0xfd40565c, 0x7ff7e500, 0xfd2735ea, 0x7ff75370, 0xfd0e1594,
-  0x7ff6bcf0, 0xfcf4f55c,
-  0x7ff62182, 0xfcdbd541, 0x7ff58125, 0xfcc2b545, 0x7ff4dbd9, 0xfca9956a,
-  0x7ff4319d, 0xfc9075af,
-  0x7ff38274, 0xfc775616, 0x7ff2ce5b, 0xfc5e36a0, 0x7ff21553, 0xfc45174e,
-  0x7ff1575d, 0xfc2bf821,
-  0x7ff09478, 0xfc12d91a, 0x7fefcca4, 0xfbf9ba39, 0x7feeffe1, 0xfbe09b80,
-  0x7fee2e30, 0xfbc77cf0,
-  0x7fed5791, 0xfbae5e89, 0x7fec7c02, 0xfb95404d, 0x7feb9b85, 0xfb7c223d,
-  0x7feab61a, 0xfb630459,
-  0x7fe9cbc0, 0xfb49e6a3, 0x7fe8dc78, 0xfb30c91b, 0x7fe7e841, 0xfb17abc2,
-  0x7fe6ef1c, 0xfafe8e9b,
-  0x7fe5f108, 0xfae571a4, 0x7fe4ee06, 0xfacc54e0, 0x7fe3e616, 0xfab3384f,
-  0x7fe2d938, 0xfa9a1bf3,
-  0x7fe1c76b, 0xfa80ffcb, 0x7fe0b0b1, 0xfa67e3da, 0x7fdf9508, 0xfa4ec821,
-  0x7fde7471, 0xfa35ac9f,
-  0x7fdd4eec, 0xfa1c9157, 0x7fdc247a, 0xfa037648, 0x7fdaf519, 0xf9ea5b75,
-  0x7fd9c0ca, 0xf9d140de,
-  0x7fd8878e, 0xf9b82684, 0x7fd74964, 0xf99f0c68, 0x7fd6064c, 0xf985f28a,
-  0x7fd4be46, 0xf96cd8ed,
-  0x7fd37153, 0xf953bf91, 0x7fd21f72, 0xf93aa676, 0x7fd0c8a3, 0xf9218d9e,
-  0x7fcf6ce8, 0xf908750a,
-  0x7fce0c3e, 0xf8ef5cbb, 0x7fcca6a7, 0xf8d644b2, 0x7fcb3c23, 0xf8bd2cef,
-  0x7fc9ccb2, 0xf8a41574,
-  0x7fc85854, 0xf88afe42, 0x7fc6df08, 0xf871e759, 0x7fc560cf, 0xf858d0bb,
-  0x7fc3dda9, 0xf83fba68,
-  0x7fc25596, 0xf826a462, 0x7fc0c896, 0xf80d8ea9, 0x7fbf36aa, 0xf7f4793e,
-  0x7fbd9fd0, 0xf7db6423,
-  0x7fbc040a, 0xf7c24f59, 0x7fba6357, 0xf7a93ae0, 0x7fb8bdb8, 0xf79026b9,
-  0x7fb7132b, 0xf77712e5,
-  0x7fb563b3, 0xf75dff66, 0x7fb3af4e, 0xf744ec3b, 0x7fb1f5fc, 0xf72bd967,
-  0x7fb037bf, 0xf712c6ea,
-  0x7fae7495, 0xf6f9b4c6, 0x7facac7f, 0xf6e0a2fa, 0x7faadf7c, 0xf6c79188,
-  0x7fa90d8e, 0xf6ae8071,
-  0x7fa736b4, 0xf6956fb7, 0x7fa55aee, 0xf67c5f59, 0x7fa37a3c, 0xf6634f59,
-  0x7fa1949e, 0xf64a3fb8,
-  0x7f9faa15, 0xf6313077, 0x7f9dbaa0, 0xf6182196, 0x7f9bc640, 0xf5ff1318,
-  0x7f99ccf4, 0xf5e604fc,
-  0x7f97cebd, 0xf5ccf743, 0x7f95cb9a, 0xf5b3e9f0, 0x7f93c38c, 0xf59add02,
-  0x7f91b694, 0xf581d07b,
-  0x7f8fa4b0, 0xf568c45b, 0x7f8d8de1, 0xf54fb8a4, 0x7f8b7227, 0xf536ad56,
-  0x7f895182, 0xf51da273,
-  0x7f872bf3, 0xf50497fb, 0x7f850179, 0xf4eb8def, 0x7f82d214, 0xf4d28451,
-  0x7f809dc5, 0xf4b97b21,
-  0x7f7e648c, 0xf4a07261, 0x7f7c2668, 0xf4876a10, 0x7f79e35a, 0xf46e6231,
-  0x7f779b62, 0xf4555ac5,
-  0x7f754e80, 0xf43c53cb, 0x7f72fcb4, 0xf4234d45, 0x7f70a5fe, 0xf40a4735,
-  0x7f6e4a5e, 0xf3f1419a,
-  0x7f6be9d4, 0xf3d83c77, 0x7f698461, 0xf3bf37cb, 0x7f671a05, 0xf3a63398,
-  0x7f64aabf, 0xf38d2fe0,
-  0x7f62368f, 0xf3742ca2, 0x7f5fbd77, 0xf35b29e0, 0x7f5d3f75, 0xf342279b,
-  0x7f5abc8a, 0xf32925d3,
-  0x7f5834b7, 0xf310248a, 0x7f55a7fa, 0xf2f723c1, 0x7f531655, 0xf2de2379,
-  0x7f507fc7, 0xf2c523b2,
-  0x7f4de451, 0xf2ac246e, 0x7f4b43f2, 0xf29325ad, 0x7f489eaa, 0xf27a2771,
-  0x7f45f47b, 0xf26129ba,
-  0x7f434563, 0xf2482c8a, 0x7f409164, 0xf22f2fe1, 0x7f3dd87c, 0xf21633c0,
-  0x7f3b1aad, 0xf1fd3829,
-  0x7f3857f6, 0xf1e43d1c, 0x7f359057, 0xf1cb429a, 0x7f32c3d1, 0xf1b248a5,
-  0x7f2ff263, 0xf1994f3d,
-  0x7f2d1c0e, 0xf1805662, 0x7f2a40d2, 0xf1675e17, 0x7f2760af, 0xf14e665c,
-  0x7f247ba5, 0xf1356f32,
-  0x7f2191b4, 0xf11c789a, 0x7f1ea2dc, 0xf1038295, 0x7f1baf1e, 0xf0ea8d24,
-  0x7f18b679, 0xf0d19848,
-  0x7f15b8ee, 0xf0b8a401, 0x7f12b67c, 0xf09fb051, 0x7f0faf25, 0xf086bd39,
-  0x7f0ca2e7, 0xf06dcaba,
-  0x7f0991c4, 0xf054d8d5, 0x7f067bba, 0xf03be78a, 0x7f0360cb, 0xf022f6da,
-  0x7f0040f6, 0xf00a06c8,
-  0x7efd1c3c, 0xeff11753, 0x7ef9f29d, 0xefd8287c, 0x7ef6c418, 0xefbf3a45,
-  0x7ef390ae, 0xefa64cae,
-  0x7ef05860, 0xef8d5fb8, 0x7eed1b2c, 0xef747365, 0x7ee9d914, 0xef5b87b5,
-  0x7ee69217, 0xef429caa,
-  0x7ee34636, 0xef29b243, 0x7edff570, 0xef10c883, 0x7edc9fc6, 0xeef7df6a,
-  0x7ed94538, 0xeedef6f9,
-  0x7ed5e5c6, 0xeec60f31, 0x7ed28171, 0xeead2813, 0x7ecf1837, 0xee9441a0,
-  0x7ecbaa1a, 0xee7b5bd9,
-  0x7ec8371a, 0xee6276bf, 0x7ec4bf36, 0xee499253, 0x7ec14270, 0xee30ae96,
-  0x7ebdc0c6, 0xee17cb88,
-  0x7eba3a39, 0xedfee92b, 0x7eb6aeca, 0xede60780, 0x7eb31e78, 0xedcd2687,
-  0x7eaf8943, 0xedb44642,
-  0x7eabef2c, 0xed9b66b2, 0x7ea85033, 0xed8287d7, 0x7ea4ac58, 0xed69a9b3,
-  0x7ea1039b, 0xed50cc46,
-  0x7e9d55fc, 0xed37ef91, 0x7e99a37c, 0xed1f1396, 0x7e95ec1a, 0xed063856,
-  0x7e922fd6, 0xeced5dd0,
-  0x7e8e6eb2, 0xecd48407, 0x7e8aa8ac, 0xecbbaafb, 0x7e86ddc6, 0xeca2d2ad,
-  0x7e830dff, 0xec89fb1e,
-  0x7e7f3957, 0xec71244f, 0x7e7b5fce, 0xec584e41, 0x7e778166, 0xec3f78f6,
-  0x7e739e1d, 0xec26a46d,
-  0x7e6fb5f4, 0xec0dd0a8, 0x7e6bc8eb, 0xebf4fda8, 0x7e67d703, 0xebdc2b6e,
-  0x7e63e03b, 0xebc359fb,
-  0x7e5fe493, 0xebaa894f, 0x7e5be40c, 0xeb91b96c, 0x7e57dea7, 0xeb78ea52,
-  0x7e53d462, 0xeb601c04,
-  0x7e4fc53e, 0xeb474e81, 0x7e4bb13c, 0xeb2e81ca, 0x7e47985b, 0xeb15b5e1,
-  0x7e437a9c, 0xeafceac6,
-  0x7e3f57ff, 0xeae4207a, 0x7e3b3083, 0xeacb56ff, 0x7e37042a, 0xeab28e56,
-  0x7e32d2f4, 0xea99c67e,
-  0x7e2e9cdf, 0xea80ff7a, 0x7e2a61ed, 0xea683949, 0x7e26221f, 0xea4f73ee,
-  0x7e21dd73, 0xea36af69,
-  0x7e1d93ea, 0xea1debbb, 0x7e194584, 0xea0528e5, 0x7e14f242, 0xe9ec66e8,
-  0x7e109a24, 0xe9d3a5c5,
-  0x7e0c3d29, 0xe9bae57d, 0x7e07db52, 0xe9a22610, 0x7e0374a0, 0xe9896781,
-  0x7dff0911, 0xe970a9ce,
-  0x7dfa98a8, 0xe957ecfb, 0x7df62362, 0xe93f3107, 0x7df1a942, 0xe92675f4,
-  0x7ded2a47, 0xe90dbbc2,
-  0x7de8a670, 0xe8f50273, 0x7de41dc0, 0xe8dc4a07, 0x7ddf9034, 0xe8c39280,
-  0x7ddafdce, 0xe8aadbde,
-  0x7dd6668f, 0xe8922622, 0x7dd1ca75, 0xe879714d, 0x7dcd2981, 0xe860bd61,
-  0x7dc883b4, 0xe8480a5d,
-  0x7dc3d90d, 0xe82f5844, 0x7dbf298d, 0xe816a716, 0x7dba7534, 0xe7fdf6d4,
-  0x7db5bc02, 0xe7e5477f,
-  0x7db0fdf8, 0xe7cc9917, 0x7dac3b15, 0xe7b3eb9f, 0x7da77359, 0xe79b3f16,
-  0x7da2a6c6, 0xe782937e,
-  0x7d9dd55a, 0xe769e8d8, 0x7d98ff17, 0xe7513f25, 0x7d9423fc, 0xe7389665,
-  0x7d8f4409, 0xe71fee99,
-  0x7d8a5f40, 0xe70747c4, 0x7d85759f, 0xe6eea1e4, 0x7d808728, 0xe6d5fcfc,
-  0x7d7b93da, 0xe6bd590d,
-  0x7d769bb5, 0xe6a4b616, 0x7d719eba, 0xe68c141a, 0x7d6c9ce9, 0xe6737319,
-  0x7d679642, 0xe65ad315,
-  0x7d628ac6, 0xe642340d, 0x7d5d7a74, 0xe6299604, 0x7d58654d, 0xe610f8f9,
-  0x7d534b50, 0xe5f85cef,
-  0x7d4e2c7f, 0xe5dfc1e5, 0x7d4908d9, 0xe5c727dd, 0x7d43e05e, 0xe5ae8ed8,
-  0x7d3eb30f, 0xe595f6d7,
-  0x7d3980ec, 0xe57d5fda, 0x7d3449f5, 0xe564c9e3, 0x7d2f0e2b, 0xe54c34f3,
-  0x7d29cd8c, 0xe533a10a,
-  0x7d24881b, 0xe51b0e2a, 0x7d1f3dd6, 0xe5027c53, 0x7d19eebf, 0xe4e9eb87,
-  0x7d149ad5, 0xe4d15bc6,
-  0x7d0f4218, 0xe4b8cd11, 0x7d09e489, 0xe4a03f69, 0x7d048228, 0xe487b2d0,
-  0x7cff1af5, 0xe46f2745,
-  0x7cf9aef0, 0xe4569ccb, 0x7cf43e1a, 0xe43e1362, 0x7ceec873, 0xe4258b0a,
-  0x7ce94dfb, 0xe40d03c6,
-  0x7ce3ceb2, 0xe3f47d96, 0x7cde4a98, 0xe3dbf87a, 0x7cd8c1ae, 0xe3c37474,
-  0x7cd333f3, 0xe3aaf184,
-  0x7ccda169, 0xe3926fad, 0x7cc80a0f, 0xe379eeed, 0x7cc26de5, 0xe3616f48,
-  0x7cbcccec, 0xe348f0bd,
-  0x7cb72724, 0xe330734d, 0x7cb17c8d, 0xe317f6fa, 0x7cabcd28, 0xe2ff7bc3,
-  0x7ca618f3, 0xe2e701ac,
-  0x7ca05ff1, 0xe2ce88b3, 0x7c9aa221, 0xe2b610da, 0x7c94df83, 0xe29d9a23,
-  0x7c8f1817, 0xe285248d,
-  0x7c894bde, 0xe26cb01b, 0x7c837ad8, 0xe2543ccc, 0x7c7da505, 0xe23bcaa2,
-  0x7c77ca65, 0xe223599e,
-  0x7c71eaf9, 0xe20ae9c1, 0x7c6c06c0, 0xe1f27b0b, 0x7c661dbc, 0xe1da0d7e,
-  0x7c602fec, 0xe1c1a11b,
-  0x7c5a3d50, 0xe1a935e2, 0x7c5445e9, 0xe190cbd4, 0x7c4e49b7, 0xe17862f3,
-  0x7c4848ba, 0xe15ffb3f,
-  0x7c4242f2, 0xe14794ba, 0x7c3c3860, 0xe12f2f63, 0x7c362904, 0xe116cb3d,
-  0x7c3014de, 0xe0fe6848,
-  0x7c29fbee, 0xe0e60685, 0x7c23de35, 0xe0cda5f5, 0x7c1dbbb3, 0xe0b54698,
-  0x7c179467, 0xe09ce871,
-  0x7c116853, 0xe0848b7f, 0x7c0b3777, 0xe06c2fc4, 0x7c0501d2, 0xe053d541,
-  0x7bfec765, 0xe03b7bf6,
-  0x7bf88830, 0xe02323e5, 0x7bf24434, 0xe00acd0e, 0x7bebfb70, 0xdff27773,
-  0x7be5ade6, 0xdfda2314,
-  0x7bdf5b94, 0xdfc1cff3, 0x7bd9047c, 0xdfa97e0f, 0x7bd2a89e, 0xdf912d6b,
-  0x7bcc47fa, 0xdf78de07,
-  0x7bc5e290, 0xdf608fe4, 0x7bbf7860, 0xdf484302, 0x7bb9096b, 0xdf2ff764,
-  0x7bb295b0, 0xdf17ad0a,
-  0x7bac1d31, 0xdeff63f4, 0x7ba59fee, 0xdee71c24, 0x7b9f1de6, 0xdeced59b,
-  0x7b989719, 0xdeb69059,
-  0x7b920b89, 0xde9e4c60, 0x7b8b7b36, 0xde8609b1, 0x7b84e61f, 0xde6dc84b,
-  0x7b7e4c45, 0xde558831,
-  0x7b77ada8, 0xde3d4964, 0x7b710a49, 0xde250be3, 0x7b6a6227, 0xde0ccfb1,
-  0x7b63b543, 0xddf494ce,
-  0x7b5d039e, 0xdddc5b3b, 0x7b564d36, 0xddc422f8, 0x7b4f920e, 0xddabec08,
-  0x7b48d225, 0xdd93b66a,
-  0x7b420d7a, 0xdd7b8220, 0x7b3b4410, 0xdd634f2b, 0x7b3475e5, 0xdd4b1d8c,
-  0x7b2da2fa, 0xdd32ed43,
-  0x7b26cb4f, 0xdd1abe51, 0x7b1feee5, 0xdd0290b8, 0x7b190dbc, 0xdcea6478,
-  0x7b1227d3, 0xdcd23993,
-  0x7b0b3d2c, 0xdcba1008, 0x7b044dc7, 0xdca1e7da, 0x7afd59a4, 0xdc89c109,
-  0x7af660c2, 0xdc719b96,
-  0x7aef6323, 0xdc597781, 0x7ae860c7, 0xdc4154cd, 0x7ae159ae, 0xdc293379,
-  0x7ada4dd8, 0xdc111388,
-  0x7ad33d45, 0xdbf8f4f8, 0x7acc27f7, 0xdbe0d7cd, 0x7ac50dec, 0xdbc8bc06,
-  0x7abdef25, 0xdbb0a1a4,
-  0x7ab6cba4, 0xdb9888a8, 0x7aafa367, 0xdb807114, 0x7aa8766f, 0xdb685ae9,
-  0x7aa144bc, 0xdb504626,
-  0x7a9a0e50, 0xdb3832cd, 0x7a92d329, 0xdb2020e0, 0x7a8b9348, 0xdb08105e,
-  0x7a844eae, 0xdaf00149,
-  0x7a7d055b, 0xdad7f3a2, 0x7a75b74f, 0xdabfe76a, 0x7a6e648a, 0xdaa7dca1,
-  0x7a670d0d, 0xda8fd349,
-  0x7a5fb0d8, 0xda77cb63, 0x7a584feb, 0xda5fc4ef, 0x7a50ea47, 0xda47bfee,
-  0x7a497feb, 0xda2fbc61,
-  0x7a4210d8, 0xda17ba4a, 0x7a3a9d0f, 0xd9ffb9a9, 0x7a332490, 0xd9e7ba7f,
-  0x7a2ba75a, 0xd9cfbccd,
-  0x7a24256f, 0xd9b7c094, 0x7a1c9ece, 0xd99fc5d4, 0x7a151378, 0xd987cc90,
-  0x7a0d836d, 0xd96fd4c7,
-  0x7a05eead, 0xd957de7a, 0x79fe5539, 0xd93fe9ab, 0x79f6b711, 0xd927f65b,
-  0x79ef1436, 0xd910048a,
-  0x79e76ca7, 0xd8f81439, 0x79dfc064, 0xd8e0256a, 0x79d80f6f, 0xd8c8381d,
-  0x79d059c8, 0xd8b04c52,
-  0x79c89f6e, 0xd898620c, 0x79c0e062, 0xd880794b, 0x79b91ca4, 0xd868920f,
-  0x79b15435, 0xd850ac5a,
-  0x79a98715, 0xd838c82d, 0x79a1b545, 0xd820e589, 0x7999dec4, 0xd809046e,
-  0x79920392, 0xd7f124dd,
-  0x798a23b1, 0xd7d946d8, 0x79823f20, 0xd7c16a5f, 0x797a55e0, 0xd7a98f73,
-  0x797267f2, 0xd791b616,
-  0x796a7554, 0xd779de47, 0x79627e08, 0xd7620808, 0x795a820e, 0xd74a335b,
-  0x79528167, 0xd732603f,
-  0x794a7c12, 0xd71a8eb5, 0x79427210, 0xd702bec0, 0x793a6361, 0xd6eaf05f,
-  0x79325006, 0xd6d32393,
-  0x792a37fe, 0xd6bb585e, 0x79221b4b, 0xd6a38ec0, 0x7919f9ec, 0xd68bc6ba,
-  0x7911d3e2, 0xd674004e,
-  0x7909a92d, 0xd65c3b7b, 0x790179cd, 0xd6447844, 0x78f945c3, 0xd62cb6a8,
-  0x78f10d0f, 0xd614f6a9,
-  0x78e8cfb2, 0xd5fd3848, 0x78e08dab, 0xd5e57b85, 0x78d846fb, 0xd5cdc062,
-  0x78cffba3, 0xd5b606e0,
-  0x78c7aba2, 0xd59e4eff, 0x78bf56f9, 0xd58698c0, 0x78b6fda8, 0xd56ee424,
-  0x78ae9fb0, 0xd557312d,
-  0x78a63d11, 0xd53f7fda, 0x789dd5cb, 0xd527d02e, 0x789569df, 0xd5102228,
-  0x788cf94c, 0xd4f875ca,
-  0x78848414, 0xd4e0cb15, 0x787c0a36, 0xd4c92209, 0x78738bb3, 0xd4b17aa8,
-  0x786b088c, 0xd499d4f2,
-  0x786280bf, 0xd48230e9, 0x7859f44f, 0xd46a8e8d, 0x7851633b, 0xd452eddf,
-  0x7848cd83, 0xd43b4ee0,
-  0x78403329, 0xd423b191, 0x7837942b, 0xd40c15f3, 0x782ef08b, 0xd3f47c06,
-  0x78264849, 0xd3dce3cd,
-  0x781d9b65, 0xd3c54d47, 0x7814e9df, 0xd3adb876, 0x780c33b8, 0xd396255a,
-  0x780378f1, 0xd37e93f4,
-  0x77fab989, 0xd3670446, 0x77f1f581, 0xd34f764f, 0x77e92cd9, 0xd337ea12,
-  0x77e05f91, 0xd3205f8f,
-  0x77d78daa, 0xd308d6c7, 0x77ceb725, 0xd2f14fba, 0x77c5dc01, 0xd2d9ca6a,
-  0x77bcfc3f, 0xd2c246d8,
-  0x77b417df, 0xd2aac504, 0x77ab2ee2, 0xd29344f0, 0x77a24148, 0xd27bc69c,
-  0x77994f11, 0xd2644a0a,
-  0x7790583e, 0xd24ccf39, 0x77875cce, 0xd235562b, 0x777e5cc3, 0xd21ddee2,
-  0x7775581d, 0xd206695d,
-  0x776c4edb, 0xd1eef59e, 0x776340ff, 0xd1d783a6, 0x775a2e89, 0xd1c01375,
-  0x77511778, 0xd1a8a50d,
-  0x7747fbce, 0xd191386e, 0x773edb8b, 0xd179cd99, 0x7735b6af, 0xd1626490,
-  0x772c8d3a, 0xd14afd52,
-  0x77235f2d, 0xd13397e2, 0x771a2c88, 0xd11c343f, 0x7710f54c, 0xd104d26b,
-  0x7707b979, 0xd0ed7267,
-  0x76fe790e, 0xd0d61434, 0x76f5340e, 0xd0beb7d2, 0x76ebea77, 0xd0a75d42,
-  0x76e29c4b, 0xd0900486,
-  0x76d94989, 0xd078ad9e, 0x76cff232, 0xd061588b, 0x76c69647, 0xd04a054e,
-  0x76bd35c7, 0xd032b3e7,
-  0x76b3d0b4, 0xd01b6459, 0x76aa670d, 0xd00416a3, 0x76a0f8d2, 0xcfeccac7,
-  0x76978605, 0xcfd580c6,
-  0x768e0ea6, 0xcfbe389f, 0x768492b4, 0xcfa6f255, 0x767b1231, 0xcf8fade9,
-  0x76718d1c, 0xcf786b5a,
-  0x76680376, 0xcf612aaa, 0x765e7540, 0xcf49ebda, 0x7654e279, 0xcf32aeeb,
-  0x764b4b23, 0xcf1b73de,
-  0x7641af3d, 0xcf043ab3, 0x76380ec8, 0xceed036b, 0x762e69c4, 0xced5ce08,
-  0x7624c031, 0xcebe9a8a,
-  0x761b1211, 0xcea768f2, 0x76115f63, 0xce903942, 0x7607a828, 0xce790b79,
-  0x75fdec60, 0xce61df99,
-  0x75f42c0b, 0xce4ab5a2, 0x75ea672a, 0xce338d97, 0x75e09dbd, 0xce1c6777,
-  0x75d6cfc5, 0xce054343,
-  0x75ccfd42, 0xcdee20fc, 0x75c32634, 0xcdd700a4, 0x75b94a9c, 0xcdbfe23a,
-  0x75af6a7b, 0xcda8c5c1,
-  0x75a585cf, 0xcd91ab39, 0x759b9c9b, 0xcd7a92a2, 0x7591aedd, 0xcd637bfe,
-  0x7587bc98, 0xcd4c674d,
-  0x757dc5ca, 0xcd355491, 0x7573ca75, 0xcd1e43ca, 0x7569ca99, 0xcd0734f9,
-  0x755fc635, 0xccf0281f,
-  0x7555bd4c, 0xccd91d3d, 0x754bafdc, 0xccc21455, 0x75419de7, 0xccab0d65,
-  0x7537876c, 0xcc940871,
-  0x752d6c6c, 0xcc7d0578, 0x75234ce8, 0xcc66047b, 0x751928e0, 0xcc4f057c,
-  0x750f0054, 0xcc38087b,
-  0x7504d345, 0xcc210d79, 0x74faa1b3, 0xcc0a1477, 0x74f06b9e, 0xcbf31d75,
-  0x74e63108, 0xcbdc2876,
-  0x74dbf1ef, 0xcbc53579, 0x74d1ae55, 0xcbae447f, 0x74c7663a, 0xcb97558a,
-  0x74bd199f, 0xcb80689a,
-  0x74b2c884, 0xcb697db0, 0x74a872e8, 0xcb5294ce, 0x749e18cd, 0xcb3badf3,
-  0x7493ba34, 0xcb24c921,
-  0x7489571c, 0xcb0de658, 0x747eef85, 0xcaf7059a, 0x74748371, 0xcae026e8,
-  0x746a12df, 0xcac94a42,
-  0x745f9dd1, 0xcab26fa9, 0x74552446, 0xca9b971e, 0x744aa63f, 0xca84c0a3,
-  0x744023bc, 0xca6dec37,
-  0x74359cbd, 0xca5719db, 0x742b1144, 0xca404992, 0x74208150, 0xca297b5a,
-  0x7415ece2, 0xca12af37,
-  0x740b53fb, 0xc9fbe527, 0x7400b69a, 0xc9e51d2d, 0x73f614c0, 0xc9ce5748,
-  0x73eb6e6e, 0xc9b7937a,
-  0x73e0c3a3, 0xc9a0d1c5, 0x73d61461, 0xc98a1227, 0x73cb60a8, 0xc97354a4,
-  0x73c0a878, 0xc95c993a,
-  0x73b5ebd1, 0xc945dfec, 0x73ab2ab4, 0xc92f28ba, 0x73a06522, 0xc91873a5,
-  0x73959b1b, 0xc901c0ae,
-  0x738acc9e, 0xc8eb0fd6, 0x737ff9ae, 0xc8d4611d, 0x73752249, 0xc8bdb485,
-  0x736a4671, 0xc8a70a0e,
-  0x735f6626, 0xc89061ba, 0x73548168, 0xc879bb89, 0x73499838, 0xc863177b,
-  0x733eaa96, 0xc84c7593,
-  0x7333b883, 0xc835d5d0, 0x7328c1ff, 0xc81f3834, 0x731dc70a, 0xc8089cbf,
-  0x7312c7a5, 0xc7f20373,
-  0x7307c3d0, 0xc7db6c50, 0x72fcbb8c, 0xc7c4d757, 0x72f1aed9, 0xc7ae4489,
-  0x72e69db7, 0xc797b3e7,
-  0x72db8828, 0xc7812572, 0x72d06e2b, 0xc76a992a, 0x72c54fc1, 0xc7540f11,
-  0x72ba2cea, 0xc73d8727,
-  0x72af05a7, 0xc727016d, 0x72a3d9f7, 0xc7107de4, 0x7298a9dd, 0xc6f9fc8d,
-  0x728d7557, 0xc6e37d69,
-  0x72823c67, 0xc6cd0079, 0x7276ff0d, 0xc6b685bd, 0x726bbd48, 0xc6a00d37,
-  0x7260771b, 0xc68996e7,
-  0x72552c85, 0xc67322ce, 0x7249dd86, 0xc65cb0ed, 0x723e8a20, 0xc6464144,
-  0x72333251, 0xc62fd3d6,
-  0x7227d61c, 0xc61968a2, 0x721c7580, 0xc602ffaa, 0x7211107e, 0xc5ec98ee,
-  0x7205a716, 0xc5d6346f,
-  0x71fa3949, 0xc5bfd22e, 0x71eec716, 0xc5a9722c, 0x71e35080, 0xc593146a,
-  0x71d7d585, 0xc57cb8e9,
-  0x71cc5626, 0xc5665fa9, 0x71c0d265, 0xc55008ab, 0x71b54a41, 0xc539b3f1,
-  0x71a9bdba, 0xc523617a,
-  0x719e2cd2, 0xc50d1149, 0x71929789, 0xc4f6c35d, 0x7186fdde, 0xc4e077b8,
-  0x717b5fd3, 0xc4ca2e5b,
-  0x716fbd68, 0xc4b3e746, 0x7164169d, 0xc49da27a, 0x71586b74, 0xc4875ff9,
-  0x714cbbeb, 0xc4711fc2,
-  0x71410805, 0xc45ae1d7, 0x71354fc0, 0xc444a639, 0x7129931f, 0xc42e6ce8,
-  0x711dd220, 0xc41835e6,
-  0x71120cc5, 0xc4020133, 0x7106430e, 0xc3ebced0, 0x70fa74fc, 0xc3d59ebe,
-  0x70eea28e, 0xc3bf70fd,
-  0x70e2cbc6, 0xc3a94590, 0x70d6f0a4, 0xc3931c76, 0x70cb1128, 0xc37cf5b0,
-  0x70bf2d53, 0xc366d140,
-  0x70b34525, 0xc350af26, 0x70a7589f, 0xc33a8f62, 0x709b67c0, 0xc32471f7,
-  0x708f728b, 0xc30e56e4,
-  0x708378ff, 0xc2f83e2a, 0x70777b1c, 0xc2e227cb, 0x706b78e3, 0xc2cc13c7,
-  0x705f7255, 0xc2b6021f,
-  0x70536771, 0xc29ff2d4, 0x70475839, 0xc289e5e7, 0x703b44ad, 0xc273db58,
-  0x702f2ccd, 0xc25dd329,
-  0x7023109a, 0xc247cd5a, 0x7016f014, 0xc231c9ec, 0x700acb3c, 0xc21bc8e1,
-  0x6ffea212, 0xc205ca38,
-  0x6ff27497, 0xc1efcdf3, 0x6fe642ca, 0xc1d9d412, 0x6fda0cae, 0xc1c3dc97,
-  0x6fcdd241, 0xc1ade781,
-  0x6fc19385, 0xc197f4d4, 0x6fb5507a, 0xc182048d, 0x6fa90921, 0xc16c16b0,
-  0x6f9cbd79, 0xc1562b3d,
-  0x6f906d84, 0xc1404233, 0x6f841942, 0xc12a5b95, 0x6f77c0b3, 0xc1147764,
-  0x6f6b63d8, 0xc0fe959f,
-  0x6f5f02b2, 0xc0e8b648, 0x6f529d40, 0xc0d2d960, 0x6f463383, 0xc0bcfee7,
-  0x6f39c57d, 0xc0a726df,
-  0x6f2d532c, 0xc0915148, 0x6f20dc92, 0xc07b7e23, 0x6f1461b0, 0xc065ad70,
-  0x6f07e285, 0xc04fdf32,
-  0x6efb5f12, 0xc03a1368, 0x6eeed758, 0xc0244a14, 0x6ee24b57, 0xc00e8336,
-  0x6ed5bb10, 0xbff8bece,
-  0x6ec92683, 0xbfe2fcdf, 0x6ebc8db0, 0xbfcd3d69, 0x6eaff099, 0xbfb7806c,
-  0x6ea34f3d, 0xbfa1c5ea,
-  0x6e96a99d, 0xbf8c0de3, 0x6e89ffb9, 0xbf765858, 0x6e7d5193, 0xbf60a54a,
-  0x6e709f2a, 0xbf4af4ba,
-  0x6e63e87f, 0xbf3546a8, 0x6e572d93, 0xbf1f9b16, 0x6e4a6e66, 0xbf09f205,
-  0x6e3daaf8, 0xbef44b74,
-  0x6e30e34a, 0xbedea765, 0x6e24175c, 0xbec905d9, 0x6e174730, 0xbeb366d1,
-  0x6e0a72c5, 0xbe9dca4e,
-  0x6dfd9a1c, 0xbe88304f, 0x6df0bd35, 0xbe7298d7, 0x6de3dc11, 0xbe5d03e6,
-  0x6dd6f6b1, 0xbe47717c,
-  0x6dca0d14, 0xbe31e19b, 0x6dbd1f3c, 0xbe1c5444, 0x6db02d29, 0xbe06c977,
-  0x6da336dc, 0xbdf14135,
-  0x6d963c54, 0xbddbbb7f, 0x6d893d93, 0xbdc63856, 0x6d7c3a98, 0xbdb0b7bb,
-  0x6d6f3365, 0xbd9b39ad,
-  0x6d6227fa, 0xbd85be30, 0x6d551858, 0xbd704542, 0x6d48047e, 0xbd5acee5,
-  0x6d3aec6e, 0xbd455b1a,
-  0x6d2dd027, 0xbd2fe9e2, 0x6d20afac, 0xbd1a7b3d, 0x6d138afb, 0xbd050f2c,
-  0x6d066215, 0xbcefa5b0,
-  0x6cf934fc, 0xbcda3ecb, 0x6cec03af, 0xbcc4da7b, 0x6cdece2f, 0xbcaf78c4,
-  0x6cd1947c, 0xbc9a19a5,
-  0x6cc45698, 0xbc84bd1f, 0x6cb71482, 0xbc6f6333, 0x6ca9ce3b, 0xbc5a0be2,
-  0x6c9c83c3, 0xbc44b72c,
-  0x6c8f351c, 0xbc2f6513, 0x6c81e245, 0xbc1a1598, 0x6c748b3f, 0xbc04c8ba,
-  0x6c67300b, 0xbbef7e7c,
-  0x6c59d0a9, 0xbbda36dd, 0x6c4c6d1a, 0xbbc4f1df, 0x6c3f055d, 0xbbafaf82,
-  0x6c319975, 0xbb9a6fc7,
-  0x6c242960, 0xbb8532b0, 0x6c16b521, 0xbb6ff83c, 0x6c093cb6, 0xbb5ac06d,
-  0x6bfbc021, 0xbb458b43,
-  0x6bee3f62, 0xbb3058c0, 0x6be0ba7b, 0xbb1b28e4, 0x6bd3316a, 0xbb05fbb0,
-  0x6bc5a431, 0xbaf0d125,
-  0x6bb812d1, 0xbadba943, 0x6baa7d49, 0xbac6840c, 0x6b9ce39b, 0xbab16180,
-  0x6b8f45c7, 0xba9c41a0,
-  0x6b81a3cd, 0xba87246d, 0x6b73fdae, 0xba7209e7, 0x6b66536b, 0xba5cf210,
-  0x6b58a503, 0xba47dce8,
-  0x6b4af279, 0xba32ca71, 0x6b3d3bcb, 0xba1dbaaa, 0x6b2f80fb, 0xba08ad95,
-  0x6b21c208, 0xb9f3a332,
-  0x6b13fef5, 0xb9de9b83, 0x6b0637c1, 0xb9c99688, 0x6af86c6c, 0xb9b49442,
-  0x6aea9cf8, 0xb99f94b2,
-  0x6adcc964, 0xb98a97d8, 0x6acef1b2, 0xb9759db6, 0x6ac115e2, 0xb960a64c,
-  0x6ab335f4, 0xb94bb19b,
-  0x6aa551e9, 0xb936bfa4, 0x6a9769c1, 0xb921d067, 0x6a897d7d, 0xb90ce3e6,
-  0x6a7b8d1e, 0xb8f7fa21,
-  0x6a6d98a4, 0xb8e31319, 0x6a5fa010, 0xb8ce2ecf, 0x6a51a361, 0xb8b94d44,
-  0x6a43a29a, 0xb8a46e78,
-  0x6a359db9, 0xb88f926d, 0x6a2794c1, 0xb87ab922, 0x6a1987b0, 0xb865e299,
-  0x6a0b7689, 0xb8510ed4,
-  0x69fd614a, 0xb83c3dd1, 0x69ef47f6, 0xb8276f93, 0x69e12a8c, 0xb812a41a,
-  0x69d3090e, 0xb7fddb67,
-  0x69c4e37a, 0xb7e9157a, 0x69b6b9d3, 0xb7d45255, 0x69a88c19, 0xb7bf91f8,
-  0x699a5a4c, 0xb7aad465,
-  0x698c246c, 0xb796199b, 0x697dea7b, 0xb781619c, 0x696fac78, 0xb76cac69,
-  0x69616a65, 0xb757fa01,
-  0x69532442, 0xb7434a67, 0x6944da10, 0xb72e9d9b, 0x69368bce, 0xb719f39e,
-  0x6928397e, 0xb7054c6f,
-  0x6919e320, 0xb6f0a812, 0x690b88b5, 0xb6dc0685, 0x68fd2a3d, 0xb6c767ca,
-  0x68eec7b9, 0xb6b2cbe2,
-  0x68e06129, 0xb69e32cd, 0x68d1f68f, 0xb6899c8d, 0x68c387e9, 0xb6750921,
-  0x68b5153a, 0xb660788c,
-  0x68a69e81, 0xb64beacd, 0x689823bf, 0xb6375fe5, 0x6889a4f6, 0xb622d7d6,
-  0x687b2224, 0xb60e529f,
-  0x686c9b4b, 0xb5f9d043, 0x685e106c, 0xb5e550c1, 0x684f8186, 0xb5d0d41a,
-  0x6840ee9b, 0xb5bc5a50,
-  0x683257ab, 0xb5a7e362, 0x6823bcb7, 0xb5936f53, 0x68151dbe, 0xb57efe22,
-  0x68067ac3, 0xb56a8fd0,
-  0x67f7d3c5, 0xb556245e, 0x67e928c5, 0xb541bbcd, 0x67da79c3, 0xb52d561e,
-  0x67cbc6c0, 0xb518f351,
-  0x67bd0fbd, 0xb5049368, 0x67ae54ba, 0xb4f03663, 0x679f95b7, 0xb4dbdc42,
-  0x6790d2b6, 0xb4c78507,
-  0x67820bb7, 0xb4b330b3, 0x677340ba, 0xb49edf45, 0x676471c0, 0xb48a90c0,
-  0x67559eca, 0xb4764523,
-  0x6746c7d8, 0xb461fc70, 0x6737ecea, 0xb44db6a8, 0x67290e02, 0xb43973ca,
-  0x671a2b20, 0xb42533d8,
-  0x670b4444, 0xb410f6d3, 0x66fc596f, 0xb3fcbcbb, 0x66ed6aa1, 0xb3e88592,
-  0x66de77dc, 0xb3d45157,
-  0x66cf8120, 0xb3c0200c, 0x66c0866d, 0xb3abf1b2, 0x66b187c3, 0xb397c649,
-  0x66a28524, 0xb3839dd3,
-  0x66937e91, 0xb36f784f, 0x66847408, 0xb35b55bf, 0x6675658c, 0xb3473623,
-  0x6666531d, 0xb333197c,
-  0x66573cbb, 0xb31effcc, 0x66482267, 0xb30ae912, 0x66390422, 0xb2f6d550,
-  0x6629e1ec, 0xb2e2c486,
-  0x661abbc5, 0xb2ceb6b5, 0x660b91af, 0xb2baabde, 0x65fc63a9, 0xb2a6a402,
-  0x65ed31b5, 0xb2929f21,
-  0x65ddfbd3, 0xb27e9d3c, 0x65cec204, 0xb26a9e54, 0x65bf8447, 0xb256a26a,
-  0x65b0429f, 0xb242a97e,
-  0x65a0fd0b, 0xb22eb392, 0x6591b38c, 0xb21ac0a6, 0x65826622, 0xb206d0ba,
-  0x657314cf, 0xb1f2e3d0,
-  0x6563bf92, 0xb1def9e9, 0x6554666d, 0xb1cb1304, 0x6545095f, 0xb1b72f23,
-  0x6535a86b, 0xb1a34e47,
-  0x6526438f, 0xb18f7071, 0x6516dacd, 0xb17b95a0, 0x65076e25, 0xb167bdd7,
-  0x64f7fd98, 0xb153e915,
-  0x64e88926, 0xb140175b, 0x64d910d1, 0xb12c48ab, 0x64c99498, 0xb1187d05,
-  0x64ba147d, 0xb104b46a,
-  0x64aa907f, 0xb0f0eeda, 0x649b08a0, 0xb0dd2c56, 0x648b7ce0, 0xb0c96ce0,
-  0x647bed3f, 0xb0b5b077,
-  0x646c59bf, 0xb0a1f71d, 0x645cc260, 0xb08e40d2, 0x644d2722, 0xb07a8d97,
-  0x643d8806, 0xb066dd6d,
-  0x642de50d, 0xb0533055, 0x641e3e38, 0xb03f864f, 0x640e9386, 0xb02bdf5c,
-  0x63fee4f8, 0xb0183b7d,
-  0x63ef3290, 0xb0049ab3, 0x63df7c4d, 0xaff0fcfe, 0x63cfc231, 0xafdd625f,
-  0x63c0043b, 0xafc9cad7,
-  0x63b0426d, 0xafb63667, 0x63a07cc7, 0xafa2a50f, 0x6390b34a, 0xaf8f16d1,
-  0x6380e5f6, 0xaf7b8bac,
-  0x637114cc, 0xaf6803a2, 0x63613fcd, 0xaf547eb3, 0x635166f9, 0xaf40fce1,
-  0x63418a50, 0xaf2d7e2b,
-  0x6331a9d4, 0xaf1a0293, 0x6321c585, 0xaf068a1a, 0x6311dd64, 0xaef314c0,
-  0x6301f171, 0xaedfa285,
-  0x62f201ac, 0xaecc336c, 0x62e20e17, 0xaeb8c774, 0x62d216b3, 0xaea55e9e,
-  0x62c21b7e, 0xae91f8eb,
-  0x62b21c7b, 0xae7e965b, 0x62a219aa, 0xae6b36f0, 0x6292130c, 0xae57daab,
-  0x628208a1, 0xae44818b,
-  0x6271fa69, 0xae312b92, 0x6261e866, 0xae1dd8c0, 0x6251d298, 0xae0a8916,
-  0x6241b8ff, 0xadf73c96,
-  0x62319b9d, 0xade3f33e, 0x62217a72, 0xadd0ad12, 0x6211557e, 0xadbd6a10,
-  0x62012cc2, 0xadaa2a3b,
-  0x61f1003f, 0xad96ed92, 0x61e0cff5, 0xad83b416, 0x61d09be5, 0xad707dc8,
-  0x61c06410, 0xad5d4aaa,
-  0x61b02876, 0xad4a1aba, 0x619fe918, 0xad36edfc, 0x618fa5f7, 0xad23c46e,
-  0x617f5f12, 0xad109e12,
-  0x616f146c, 0xacfd7ae8, 0x615ec603, 0xacea5af2, 0x614e73da, 0xacd73e30,
-  0x613e1df0, 0xacc424a3,
-  0x612dc447, 0xacb10e4b, 0x611d66de, 0xac9dfb29, 0x610d05b7, 0xac8aeb3e,
-  0x60fca0d2, 0xac77de8b,
-  0x60ec3830, 0xac64d510, 0x60dbcbd1, 0xac51cecf, 0x60cb5bb7, 0xac3ecbc7,
-  0x60bae7e1, 0xac2bcbfa,
-  0x60aa7050, 0xac18cf69, 0x6099f505, 0xac05d613, 0x60897601, 0xabf2dffb,
-  0x6078f344, 0xabdfed1f,
-  0x60686ccf, 0xabccfd83, 0x6057e2a2, 0xabba1125, 0x604754bf, 0xaba72807,
-  0x6036c325, 0xab944229,
-  0x60262dd6, 0xab815f8d, 0x601594d1, 0xab6e8032, 0x6004f819, 0xab5ba41a,
-  0x5ff457ad, 0xab48cb46,
-  0x5fe3b38d, 0xab35f5b5, 0x5fd30bbc, 0xab23236a, 0x5fc26038, 0xab105464,
-  0x5fb1b104, 0xaafd88a4,
-  0x5fa0fe1f, 0xaaeac02c, 0x5f90478a, 0xaad7fafb, 0x5f7f8d46, 0xaac53912,
-  0x5f6ecf53, 0xaab27a73,
-  0x5f5e0db3, 0xaa9fbf1e, 0x5f4d4865, 0xaa8d0713, 0x5f3c7f6b, 0xaa7a5253,
-  0x5f2bb2c5, 0xaa67a0e0,
-  0x5f1ae274, 0xaa54f2ba, 0x5f0a0e77, 0xaa4247e1, 0x5ef936d1, 0xaa2fa056,
-  0x5ee85b82, 0xaa1cfc1a,
-  0x5ed77c8a, 0xaa0a5b2e, 0x5ec699e9, 0xa9f7bd92, 0x5eb5b3a2, 0xa9e52347,
-  0x5ea4c9b3, 0xa9d28c4e,
-  0x5e93dc1f, 0xa9bff8a8, 0x5e82eae5, 0xa9ad6855, 0x5e71f606, 0xa99adb56,
-  0x5e60fd84, 0xa98851ac,
-  0x5e50015d, 0xa975cb57, 0x5e3f0194, 0xa9634858, 0x5e2dfe29, 0xa950c8b0,
-  0x5e1cf71c, 0xa93e4c5f,
-  0x5e0bec6e, 0xa92bd367, 0x5dfade20, 0xa9195dc7, 0x5de9cc33, 0xa906eb82,
-  0x5dd8b6a7, 0xa8f47c97,
-  0x5dc79d7c, 0xa8e21106, 0x5db680b4, 0xa8cfa8d2, 0x5da5604f, 0xa8bd43fa,
-  0x5d943c4e, 0xa8aae280,
-  0x5d8314b1, 0xa8988463, 0x5d71e979, 0xa88629a5, 0x5d60baa7, 0xa873d246,
-  0x5d4f883b, 0xa8617e48,
-  0x5d3e5237, 0xa84f2daa, 0x5d2d189a, 0xa83ce06e, 0x5d1bdb65, 0xa82a9693,
-  0x5d0a9a9a, 0xa818501c,
-  0x5cf95638, 0xa8060d08, 0x5ce80e41, 0xa7f3cd59, 0x5cd6c2b5, 0xa7e1910f,
-  0x5cc57394, 0xa7cf582a,
-  0x5cb420e0, 0xa7bd22ac, 0x5ca2ca99, 0xa7aaf094, 0x5c9170bf, 0xa798c1e5,
-  0x5c801354, 0xa786969e,
-  0x5c6eb258, 0xa7746ec0, 0x5c5d4dcc, 0xa7624a4d, 0x5c4be5b0, 0xa7502943,
-  0x5c3a7a05, 0xa73e0ba5,
-  0x5c290acc, 0xa72bf174, 0x5c179806, 0xa719daae, 0x5c0621b2, 0xa707c757,
-  0x5bf4a7d2, 0xa6f5b76d,
-  0x5be32a67, 0xa6e3aaf2, 0x5bd1a971, 0xa6d1a1e7, 0x5bc024f0, 0xa6bf9c4b,
-  0x5bae9ce7, 0xa6ad9a21,
-  0x5b9d1154, 0xa69b9b68, 0x5b8b8239, 0xa689a022, 0x5b79ef96, 0xa677a84e,
-  0x5b68596d, 0xa665b3ee,
-  0x5b56bfbd, 0xa653c303, 0x5b452288, 0xa641d58c, 0x5b3381ce, 0xa62feb8b,
-  0x5b21dd90, 0xa61e0501,
-  0x5b1035cf, 0xa60c21ee, 0x5afe8a8b, 0xa5fa4252, 0x5aecdbc5, 0xa5e8662f,
-  0x5adb297d, 0xa5d68d85,
-  0x5ac973b5, 0xa5c4b855, 0x5ab7ba6c, 0xa5b2e6a0, 0x5aa5fda5, 0xa5a11866,
-  0x5a943d5e, 0xa58f4da8,
-  0x5a82799a, 0xa57d8666, 0x5a70b258, 0xa56bc2a2, 0x5a5ee79a, 0xa55a025b,
-  0x5a4d1960, 0xa5484594,
-  0x5a3b47ab, 0xa5368c4b, 0x5a29727b, 0xa524d683, 0x5a1799d1, 0xa513243b,
-  0x5a05bdae, 0xa5017575,
-  0x59f3de12, 0xa4efca31, 0x59e1faff, 0xa4de2270, 0x59d01475, 0xa4cc7e32,
-  0x59be2a74, 0xa4badd78,
-  0x59ac3cfd, 0xa4a94043, 0x599a4c12, 0xa497a693, 0x598857b2, 0xa486106a,
-  0x59765fde, 0xa4747dc7,
-  0x59646498, 0xa462eeac, 0x595265df, 0xa4516319, 0x594063b5, 0xa43fdb10,
-  0x592e5e19, 0xa42e568f,
-  0x591c550e, 0xa41cd599, 0x590a4893, 0xa40b582e, 0x58f838a9, 0xa3f9de4e,
-  0x58e62552, 0xa3e867fa,
-  0x58d40e8c, 0xa3d6f534, 0x58c1f45b, 0xa3c585fb, 0x58afd6bd, 0xa3b41a50,
-  0x589db5b3, 0xa3a2b234,
-  0x588b9140, 0xa3914da8, 0x58796962, 0xa37fecac, 0x58673e1b, 0xa36e8f41,
-  0x58550f6c, 0xa35d3567,
-  0x5842dd54, 0xa34bdf20, 0x5830a7d6, 0xa33a8c6c, 0x581e6ef1, 0xa3293d4b,
-  0x580c32a7, 0xa317f1bf,
-  0x57f9f2f8, 0xa306a9c8, 0x57e7afe4, 0xa2f56566, 0x57d5696d, 0xa2e4249b,
-  0x57c31f92, 0xa2d2e766,
-  0x57b0d256, 0xa2c1adc9, 0x579e81b8, 0xa2b077c5, 0x578c2dba, 0xa29f4559,
-  0x5779d65b, 0xa28e1687,
-  0x57677b9d, 0xa27ceb4f, 0x57551d80, 0xa26bc3b2, 0x5742bc06, 0xa25a9fb1,
-  0x5730572e, 0xa2497f4c,
-  0x571deefa, 0xa2386284, 0x570b8369, 0xa2274959, 0x56f9147e, 0xa21633cd,
-  0x56e6a239, 0xa20521e0,
-  0x56d42c99, 0xa1f41392, 0x56c1b3a1, 0xa1e308e4, 0x56af3750, 0xa1d201d7,
-  0x569cb7a8, 0xa1c0fe6c,
-  0x568a34a9, 0xa1affea3, 0x5677ae54, 0xa19f027c, 0x566524aa, 0xa18e09fa,
-  0x565297ab, 0xa17d151b,
-  0x56400758, 0xa16c23e1, 0x562d73b2, 0xa15b364d, 0x561adcb9, 0xa14a4c5e,
-  0x5608426e, 0xa1396617,
-  0x55f5a4d2, 0xa1288376, 0x55e303e6, 0xa117a47e, 0x55d05faa, 0xa106c92f,
-  0x55bdb81f, 0xa0f5f189,
-  0x55ab0d46, 0xa0e51d8c, 0x55985f20, 0xa0d44d3b, 0x5585adad, 0xa0c38095,
-  0x5572f8ed, 0xa0b2b79b,
-  0x556040e2, 0xa0a1f24d, 0x554d858d, 0xa09130ad, 0x553ac6ee, 0xa08072ba,
-  0x55280505, 0xa06fb876,
-  0x55153fd4, 0xa05f01e1, 0x5502775c, 0xa04e4efc, 0x54efab9c, 0xa03d9fc8,
-  0x54dcdc96, 0xa02cf444,
-  0x54ca0a4b, 0xa01c4c73, 0x54b734ba, 0xa00ba853, 0x54a45be6, 0x9ffb07e7,
-  0x54917fce, 0x9fea6b2f,
-  0x547ea073, 0x9fd9d22a, 0x546bbdd7, 0x9fc93cdb, 0x5458d7f9, 0x9fb8ab41,
-  0x5445eedb, 0x9fa81d5e,
-  0x5433027d, 0x9f979331, 0x542012e1, 0x9f870cbc, 0x540d2005, 0x9f7689ff,
-  0x53fa29ed, 0x9f660afb,
-  0x53e73097, 0x9f558fb0, 0x53d43406, 0x9f45181f, 0x53c13439, 0x9f34a449,
-  0x53ae3131, 0x9f24342f,
-  0x539b2af0, 0x9f13c7d0, 0x53882175, 0x9f035f2e, 0x537514c2, 0x9ef2fa49,
-  0x536204d7, 0x9ee29922,
-  0x534ef1b5, 0x9ed23bb9, 0x533bdb5d, 0x9ec1e210, 0x5328c1d0, 0x9eb18c26,
-  0x5315a50e, 0x9ea139fd,
-  0x53028518, 0x9e90eb94, 0x52ef61ee, 0x9e80a0ee, 0x52dc3b92, 0x9e705a09,
-  0x52c91204, 0x9e6016e8,
-  0x52b5e546, 0x9e4fd78a, 0x52a2b556, 0x9e3f9bf0, 0x528f8238, 0x9e2f641b,
-  0x527c4bea, 0x9e1f300b,
-  0x5269126e, 0x9e0effc1, 0x5255d5c5, 0x9dfed33e, 0x524295f0, 0x9deeaa82,
-  0x522f52ee, 0x9dde858e,
-  0x521c0cc2, 0x9dce6463, 0x5208c36a, 0x9dbe4701, 0x51f576ea, 0x9dae2d68,
-  0x51e22740, 0x9d9e179a,
-  0x51ced46e, 0x9d8e0597, 0x51bb7e75, 0x9d7df75f, 0x51a82555, 0x9d6decf4,
-  0x5194c910, 0x9d5de656,
-  0x518169a5, 0x9d4de385, 0x516e0715, 0x9d3de482, 0x515aa162, 0x9d2de94d,
-  0x5147388c, 0x9d1df1e9,
-  0x5133cc94, 0x9d0dfe54, 0x51205d7b, 0x9cfe0e8f, 0x510ceb40, 0x9cee229c,
-  0x50f975e6, 0x9cde3a7b,
-  0x50e5fd6d, 0x9cce562c, 0x50d281d5, 0x9cbe75b0, 0x50bf031f, 0x9cae9907,
-  0x50ab814d, 0x9c9ec033,
-  0x5097fc5e, 0x9c8eeb34, 0x50847454, 0x9c7f1a0a, 0x5070e92f, 0x9c6f4cb6,
-  0x505d5af1, 0x9c5f8339,
-  0x5049c999, 0x9c4fbd93, 0x50363529, 0x9c3ffbc5, 0x50229da1, 0x9c303dcf,
-  0x500f0302, 0x9c2083b3,
-  0x4ffb654d, 0x9c10cd70, 0x4fe7c483, 0x9c011b08, 0x4fd420a4, 0x9bf16c7a,
-  0x4fc079b1, 0x9be1c1c8,
-  0x4faccfab, 0x9bd21af3, 0x4f992293, 0x9bc277fa, 0x4f857269, 0x9bb2d8de,
-  0x4f71bf2e, 0x9ba33da0,
-  0x4f5e08e3, 0x9b93a641, 0x4f4a4f89, 0x9b8412c1, 0x4f369320, 0x9b748320,
-  0x4f22d3aa, 0x9b64f760,
-  0x4f0f1126, 0x9b556f81, 0x4efb4b96, 0x9b45eb83, 0x4ee782fb, 0x9b366b68,
-  0x4ed3b755, 0x9b26ef2f,
-  0x4ebfe8a5, 0x9b1776da, 0x4eac16eb, 0x9b080268, 0x4e984229, 0x9af891db,
-  0x4e846a60, 0x9ae92533,
-  0x4e708f8f, 0x9ad9bc71, 0x4e5cb1b9, 0x9aca5795, 0x4e48d0dd, 0x9abaf6a1,
-  0x4e34ecfc, 0x9aab9993,
-  0x4e210617, 0x9a9c406e, 0x4e0d1c30, 0x9a8ceb31, 0x4df92f46, 0x9a7d99de,
-  0x4de53f5a, 0x9a6e4c74,
-  0x4dd14c6e, 0x9a5f02f5, 0x4dbd5682, 0x9a4fbd61, 0x4da95d96, 0x9a407bb9,
-  0x4d9561ac, 0x9a313dfc,
-  0x4d8162c4, 0x9a22042d, 0x4d6d60df, 0x9a12ce4b, 0x4d595bfe, 0x9a039c57,
-  0x4d455422, 0x99f46e51,
-  0x4d31494b, 0x99e5443b, 0x4d1d3b7a, 0x99d61e14, 0x4d092ab0, 0x99c6fbde,
-  0x4cf516ee, 0x99b7dd99,
-  0x4ce10034, 0x99a8c345, 0x4ccce684, 0x9999ace3, 0x4cb8c9dd, 0x998a9a74,
-  0x4ca4aa41, 0x997b8bf8,
-  0x4c9087b1, 0x996c816f, 0x4c7c622d, 0x995d7adc, 0x4c6839b7, 0x994e783d,
-  0x4c540e4e, 0x993f7993,
-  0x4c3fdff4, 0x99307ee0, 0x4c2baea9, 0x99218824, 0x4c177a6e, 0x9912955f,
-  0x4c034345, 0x9903a691,
-  0x4bef092d, 0x98f4bbbc, 0x4bdacc28, 0x98e5d4e0, 0x4bc68c36, 0x98d6f1fe,
-  0x4bb24958, 0x98c81316,
-  0x4b9e0390, 0x98b93828, 0x4b89badd, 0x98aa6136, 0x4b756f40, 0x989b8e40,
-  0x4b6120bb, 0x988cbf46,
-  0x4b4ccf4d, 0x987df449, 0x4b387af9, 0x986f2d4a, 0x4b2423be, 0x98606a49,
-  0x4b0fc99d, 0x9851ab46,
-  0x4afb6c98, 0x9842f043, 0x4ae70caf, 0x98343940, 0x4ad2a9e2, 0x9825863d,
-  0x4abe4433, 0x9816d73b,
-  0x4aa9dba2, 0x98082c3b, 0x4a957030, 0x97f9853d, 0x4a8101de, 0x97eae242,
-  0x4a6c90ad, 0x97dc4349,
-  0x4a581c9e, 0x97cda855, 0x4a43a5b0, 0x97bf1165, 0x4a2f2be6, 0x97b07e7a,
-  0x4a1aaf3f, 0x97a1ef94,
-  0x4a062fbd, 0x979364b5, 0x49f1ad61, 0x9784dddc, 0x49dd282a, 0x97765b0a,
-  0x49c8a01b, 0x9767dc41,
-  0x49b41533, 0x9759617f, 0x499f8774, 0x974aeac6, 0x498af6df, 0x973c7817,
-  0x49766373, 0x972e0971,
-  0x4961cd33, 0x971f9ed7, 0x494d341e, 0x97113847, 0x49389836, 0x9702d5c3,
-  0x4923f97b, 0x96f4774b,
-  0x490f57ee, 0x96e61ce0, 0x48fab391, 0x96d7c682, 0x48e60c62, 0x96c97432,
-  0x48d16265, 0x96bb25f0,
-  0x48bcb599, 0x96acdbbe, 0x48a805ff, 0x969e959b, 0x48935397, 0x96905388,
-  0x487e9e64, 0x96821585,
-  0x4869e665, 0x9673db94, 0x48552b9b, 0x9665a5b4, 0x48406e08, 0x965773e7,
-  0x482badab, 0x9649462d,
-  0x4816ea86, 0x963b1c86, 0x48022499, 0x962cf6f2, 0x47ed5be6, 0x961ed574,
-  0x47d8906d, 0x9610b80a,
-  0x47c3c22f, 0x96029eb6, 0x47aef12c, 0x95f48977, 0x479a1d67, 0x95e67850,
-  0x478546de, 0x95d86b3f,
-  0x47706d93, 0x95ca6247, 0x475b9188, 0x95bc5d66, 0x4746b2bc, 0x95ae5c9f,
-  0x4731d131, 0x95a05ff0,
-  0x471cece7, 0x9592675c, 0x470805df, 0x958472e2, 0x46f31c1a, 0x95768283,
-  0x46de2f99, 0x9568963f,
-  0x46c9405c, 0x955aae17, 0x46b44e65, 0x954cca0c, 0x469f59b4, 0x953eea1e,
-  0x468a624a, 0x95310e4e,
-  0x46756828, 0x9523369c, 0x46606b4e, 0x95156308, 0x464b6bbe, 0x95079394,
-  0x46366978, 0x94f9c83f,
-  0x4621647d, 0x94ec010b, 0x460c5cce, 0x94de3df8, 0x45f7526b, 0x94d07f05,
-  0x45e24556, 0x94c2c435,
-  0x45cd358f, 0x94b50d87, 0x45b82318, 0x94a75afd, 0x45a30df0, 0x9499ac95,
-  0x458df619, 0x948c0252,
-  0x4578db93, 0x947e5c33, 0x4563be60, 0x9470ba39, 0x454e9e80, 0x94631c65,
-  0x45397bf4, 0x945582b7,
-  0x452456bd, 0x9447ed2f, 0x450f2edb, 0x943a5bcf, 0x44fa0450, 0x942cce96,
-  0x44e4d71c, 0x941f4585,
-  0x44cfa740, 0x9411c09e, 0x44ba74bd, 0x94043fdf, 0x44a53f93, 0x93f6c34a,
-  0x449007c4, 0x93e94adf,
-  0x447acd50, 0x93dbd6a0, 0x44659039, 0x93ce668b, 0x4450507e, 0x93c0faa3,
-  0x443b0e21, 0x93b392e6,
-  0x4425c923, 0x93a62f57, 0x44108184, 0x9398cff5, 0x43fb3746, 0x938b74c1,
-  0x43e5ea68, 0x937e1dbb,
-  0x43d09aed, 0x9370cae4, 0x43bb48d4, 0x93637c3d, 0x43a5f41e, 0x935631c5,
-  0x43909ccd, 0x9348eb7e,
-  0x437b42e1, 0x933ba968, 0x4365e65b, 0x932e6b84, 0x4350873c, 0x932131d1,
-  0x433b2585, 0x9313fc51,
-  0x4325c135, 0x9306cb04, 0x43105a50, 0x92f99deb, 0x42faf0d4, 0x92ec7505,
-  0x42e584c3, 0x92df5054,
-  0x42d0161e, 0x92d22fd9, 0x42baa4e6, 0x92c51392, 0x42a5311b, 0x92b7fb82,
-  0x428fbabe, 0x92aae7a8,
-  0x427a41d0, 0x929dd806, 0x4264c653, 0x9290cc9b, 0x424f4845, 0x9283c568,
-  0x4239c7aa, 0x9276c26d,
-  0x42244481, 0x9269c3ac, 0x420ebecb, 0x925cc924, 0x41f93689, 0x924fd2d7,
-  0x41e3abbc, 0x9242e0c4,
-  0x41ce1e65, 0x9235f2ec, 0x41b88e84, 0x9229094f, 0x41a2fc1a, 0x921c23ef,
-  0x418d6729, 0x920f42cb,
-  0x4177cfb1, 0x920265e4, 0x416235b2, 0x91f58d3b, 0x414c992f, 0x91e8b8d0,
-  0x4136fa27, 0x91dbe8a4,
-  0x4121589b, 0x91cf1cb6, 0x410bb48c, 0x91c25508, 0x40f60dfb, 0x91b5919a,
-  0x40e064ea, 0x91a8d26d,
-  0x40cab958, 0x919c1781, 0x40b50b46, 0x918f60d6, 0x409f5ab6, 0x9182ae6d,
-  0x4089a7a8, 0x91760047,
-  0x4073f21d, 0x91695663, 0x405e3a16, 0x915cb0c3, 0x40487f94, 0x91500f67,
-  0x4032c297, 0x91437250,
-  0x401d0321, 0x9136d97d, 0x40074132, 0x912a44f0, 0x3ff17cca, 0x911db4a9,
-  0x3fdbb5ec, 0x911128a8,
-  0x3fc5ec98, 0x9104a0ee, 0x3fb020ce, 0x90f81d7b, 0x3f9a5290, 0x90eb9e50,
-  0x3f8481dd, 0x90df236e,
-  0x3f6eaeb8, 0x90d2acd4, 0x3f58d921, 0x90c63a83, 0x3f430119, 0x90b9cc7d,
-  0x3f2d26a0, 0x90ad62c0,
-  0x3f1749b8, 0x90a0fd4e, 0x3f016a61, 0x90949c28, 0x3eeb889c, 0x90883f4d,
-  0x3ed5a46b, 0x907be6be,
-  0x3ebfbdcd, 0x906f927c, 0x3ea9d4c3, 0x90634287, 0x3e93e950, 0x9056f6df,
-  0x3e7dfb73, 0x904aaf86,
-  0x3e680b2c, 0x903e6c7b, 0x3e52187f, 0x90322dbf, 0x3e3c2369, 0x9025f352,
-  0x3e262bee, 0x9019bd36,
-  0x3e10320d, 0x900d8b69, 0x3dfa35c8, 0x90015dee, 0x3de4371f, 0x8ff534c4,
-  0x3dce3614, 0x8fe90fec,
-  0x3db832a6, 0x8fdcef66, 0x3da22cd7, 0x8fd0d333, 0x3d8c24a8, 0x8fc4bb53,
-  0x3d761a19, 0x8fb8a7c7,
-  0x3d600d2c, 0x8fac988f, 0x3d49fde1, 0x8fa08dab, 0x3d33ec39, 0x8f94871d,
-  0x3d1dd835, 0x8f8884e4,
-  0x3d07c1d6, 0x8f7c8701, 0x3cf1a91c, 0x8f708d75, 0x3cdb8e09, 0x8f649840,
-  0x3cc5709e, 0x8f58a761,
-  0x3caf50da, 0x8f4cbadb, 0x3c992ec0, 0x8f40d2ad, 0x3c830a50, 0x8f34eed8,
-  0x3c6ce38a, 0x8f290f5c,
-  0x3c56ba70, 0x8f1d343a, 0x3c408f03, 0x8f115d72, 0x3c2a6142, 0x8f058b04,
-  0x3c143130, 0x8ef9bcf2,
-  0x3bfdfecd, 0x8eedf33b, 0x3be7ca1a, 0x8ee22de0, 0x3bd19318, 0x8ed66ce1,
-  0x3bbb59c7, 0x8ecab040,
-  0x3ba51e29, 0x8ebef7fb, 0x3b8ee03e, 0x8eb34415, 0x3b78a007, 0x8ea7948c,
-  0x3b625d86, 0x8e9be963,
-  0x3b4c18ba, 0x8e904298, 0x3b35d1a5, 0x8e84a02d, 0x3b1f8848, 0x8e790222,
-  0x3b093ca3, 0x8e6d6877,
-  0x3af2eeb7, 0x8e61d32e, 0x3adc9e86, 0x8e564246, 0x3ac64c0f, 0x8e4ab5bf,
-  0x3aaff755, 0x8e3f2d9b,
-  0x3a99a057, 0x8e33a9da, 0x3a834717, 0x8e282a7b, 0x3a6ceb96, 0x8e1caf80,
-  0x3a568dd4, 0x8e1138ea,
-  0x3a402dd2, 0x8e05c6b7, 0x3a29cb91, 0x8dfa58ea, 0x3a136712, 0x8deeef82,
-  0x39fd0056, 0x8de38a80,
-  0x39e6975e, 0x8dd829e4, 0x39d02c2a, 0x8dcccdaf, 0x39b9bebc, 0x8dc175e0,
-  0x39a34f13, 0x8db6227a,
-  0x398cdd32, 0x8daad37b, 0x39766919, 0x8d9f88e5, 0x395ff2c9, 0x8d9442b8,
-  0x39497a43, 0x8d8900f3,
-  0x3932ff87, 0x8d7dc399, 0x391c8297, 0x8d728aa9, 0x39060373, 0x8d675623,
-  0x38ef821c, 0x8d5c2609,
-  0x38d8fe93, 0x8d50fa59, 0x38c278d9, 0x8d45d316, 0x38abf0ef, 0x8d3ab03f,
-  0x389566d6, 0x8d2f91d5,
-  0x387eda8e, 0x8d2477d8, 0x38684c19, 0x8d196249, 0x3851bb77, 0x8d0e5127,
-  0x383b28a9, 0x8d034474,
-  0x382493b0, 0x8cf83c30, 0x380dfc8d, 0x8ced385b, 0x37f76341, 0x8ce238f6,
-  0x37e0c7cc, 0x8cd73e01,
-  0x37ca2a30, 0x8ccc477d, 0x37b38a6d, 0x8cc1556a, 0x379ce885, 0x8cb667c8,
-  0x37864477, 0x8cab7e98,
-  0x376f9e46, 0x8ca099da, 0x3758f5f2, 0x8c95b98f, 0x37424b7b, 0x8c8addb7,
-  0x372b9ee3, 0x8c800652,
-  0x3714f02a, 0x8c753362, 0x36fe3f52, 0x8c6a64e5, 0x36e78c5b, 0x8c5f9ade,
-  0x36d0d746, 0x8c54d54c,
-  0x36ba2014, 0x8c4a142f, 0x36a366c6, 0x8c3f5788, 0x368cab5c, 0x8c349f58,
-  0x3675edd9, 0x8c29eb9f,
-  0x365f2e3b, 0x8c1f3c5d, 0x36486c86, 0x8c149192, 0x3631a8b8, 0x8c09eb40,
-  0x361ae2d3, 0x8bff4966,
-  0x36041ad9, 0x8bf4ac05, 0x35ed50c9, 0x8bea131e, 0x35d684a6, 0x8bdf7eb0,
-  0x35bfb66e, 0x8bd4eebc,
-  0x35a8e625, 0x8bca6343, 0x359213c9, 0x8bbfdc44, 0x357b3f5d, 0x8bb559c1,
-  0x356468e2, 0x8baadbba,
-  0x354d9057, 0x8ba0622f, 0x3536b5be, 0x8b95ed21, 0x351fd918, 0x8b8b7c8f,
-  0x3508fa66, 0x8b81107b,
-  0x34f219a8, 0x8b76a8e4, 0x34db36df, 0x8b6c45cc, 0x34c4520d, 0x8b61e733,
-  0x34ad6b32, 0x8b578d18,
-  0x34968250, 0x8b4d377c, 0x347f9766, 0x8b42e661, 0x3468aa76, 0x8b3899c6,
-  0x3451bb81, 0x8b2e51ab,
-  0x343aca87, 0x8b240e11, 0x3423d78a, 0x8b19cef8, 0x340ce28b, 0x8b0f9462,
-  0x33f5eb89, 0x8b055e4d,
-  0x33def287, 0x8afb2cbb, 0x33c7f785, 0x8af0ffac, 0x33b0fa84, 0x8ae6d720,
-  0x3399fb85, 0x8adcb318,
-  0x3382fa88, 0x8ad29394, 0x336bf78f, 0x8ac87894, 0x3354f29b, 0x8abe6219,
-  0x333debab, 0x8ab45024,
-  0x3326e2c3, 0x8aaa42b4, 0x330fd7e1, 0x8aa039cb, 0x32f8cb07, 0x8a963567,
-  0x32e1bc36, 0x8a8c358b,
-  0x32caab6f, 0x8a823a36, 0x32b398b3, 0x8a784368, 0x329c8402, 0x8a6e5123,
-  0x32856d5e, 0x8a646365,
-  0x326e54c7, 0x8a5a7a31, 0x32573a3f, 0x8a509585, 0x32401dc6, 0x8a46b564,
-  0x3228ff5c, 0x8a3cd9cc,
-  0x3211df04, 0x8a3302be, 0x31fabcbd, 0x8a29303b, 0x31e39889, 0x8a1f6243,
-  0x31cc7269, 0x8a1598d6,
-  0x31b54a5e, 0x8a0bd3f5, 0x319e2067, 0x8a0213a0, 0x3186f487, 0x89f857d8,
-  0x316fc6be, 0x89eea09d,
-  0x3158970e, 0x89e4edef, 0x31416576, 0x89db3fcf, 0x312a31f8, 0x89d1963c,
-  0x3112fc95, 0x89c7f138,
-  0x30fbc54d, 0x89be50c3, 0x30e48c22, 0x89b4b4dd, 0x30cd5115, 0x89ab1d87,
-  0x30b61426, 0x89a18ac0,
-  0x309ed556, 0x8997fc8a, 0x308794a6, 0x898e72e4, 0x30705217, 0x8984edcf,
-  0x30590dab, 0x897b6d4c,
-  0x3041c761, 0x8971f15a, 0x302a7f3a, 0x896879fb, 0x30133539, 0x895f072e,
-  0x2ffbe95d, 0x895598f3,
-  0x2fe49ba7, 0x894c2f4c, 0x2fcd4c19, 0x8942ca39, 0x2fb5fab2, 0x893969b9,
-  0x2f9ea775, 0x89300dce,
-  0x2f875262, 0x8926b677, 0x2f6ffb7a, 0x891d63b5, 0x2f58a2be, 0x89141589,
-  0x2f41482e, 0x890acbf2,
-  0x2f29ebcc, 0x890186f2, 0x2f128d99, 0x88f84687, 0x2efb2d95, 0x88ef0ab4,
-  0x2ee3cbc1, 0x88e5d378,
-  0x2ecc681e, 0x88dca0d3, 0x2eb502ae, 0x88d372c6, 0x2e9d9b70, 0x88ca4951,
-  0x2e863267, 0x88c12475,
-  0x2e6ec792, 0x88b80432, 0x2e575af3, 0x88aee888, 0x2e3fec8b, 0x88a5d177,
-  0x2e287c5a, 0x889cbf01,
-  0x2e110a62, 0x8893b125, 0x2df996a3, 0x888aa7e3, 0x2de2211e, 0x8881a33d,
-  0x2dcaa9d5, 0x8878a332,
-  0x2db330c7, 0x886fa7c2, 0x2d9bb5f6, 0x8866b0ef, 0x2d843964, 0x885dbeb8,
-  0x2d6cbb10, 0x8854d11e,
-  0x2d553afc, 0x884be821, 0x2d3db928, 0x884303c1, 0x2d263596, 0x883a23ff,
-  0x2d0eb046, 0x883148db,
-  0x2cf72939, 0x88287256, 0x2cdfa071, 0x881fa06f, 0x2cc815ee, 0x8816d327,
-  0x2cb089b1, 0x880e0a7f,
-  0x2c98fbba, 0x88054677, 0x2c816c0c, 0x87fc870f, 0x2c69daa6, 0x87f3cc48,
-  0x2c52478a, 0x87eb1621,
-  0x2c3ab2b9, 0x87e2649b, 0x2c231c33, 0x87d9b7b7, 0x2c0b83fa, 0x87d10f75,
-  0x2bf3ea0d, 0x87c86bd5,
-  0x2bdc4e6f, 0x87bfccd7, 0x2bc4b120, 0x87b7327d, 0x2bad1221, 0x87ae9cc5,
-  0x2b957173, 0x87a60bb1,
-  0x2b7dcf17, 0x879d7f41, 0x2b662b0e, 0x8794f774, 0x2b4e8558, 0x878c744d,
-  0x2b36ddf7, 0x8783f5ca,
-  0x2b1f34eb, 0x877b7bec, 0x2b078a36, 0x877306b4, 0x2aefddd8, 0x876a9621,
-  0x2ad82fd2, 0x87622a35,
-  0x2ac08026, 0x8759c2ef, 0x2aa8ced3, 0x87516050, 0x2a911bdc, 0x87490258,
-  0x2a796740, 0x8740a907,
-  0x2a61b101, 0x8738545e, 0x2a49f920, 0x8730045d, 0x2a323f9e, 0x8727b905,
-  0x2a1a847b, 0x871f7255,
-  0x2a02c7b8, 0x8717304e, 0x29eb0957, 0x870ef2f1, 0x29d34958, 0x8706ba3d,
-  0x29bb87bc, 0x86fe8633,
-  0x29a3c485, 0x86f656d3, 0x298bffb2, 0x86ee2c1e, 0x29743946, 0x86e60614,
-  0x295c7140, 0x86dde4b5,
-  0x2944a7a2, 0x86d5c802, 0x292cdc6d, 0x86cdaffa, 0x29150fa1, 0x86c59c9f,
-  0x28fd4140, 0x86bd8df0,
-  0x28e5714b, 0x86b583ee, 0x28cd9fc1, 0x86ad7e99, 0x28b5cca5, 0x86a57df2,
-  0x289df7f8, 0x869d81f8,
-  0x288621b9, 0x86958aac, 0x286e49ea, 0x868d980e, 0x2856708d, 0x8685aa20,
-  0x283e95a1, 0x867dc0e0,
-  0x2826b928, 0x8675dc4f, 0x280edb23, 0x866dfc6e, 0x27f6fb92, 0x8666213c,
-  0x27df1a77, 0x865e4abb,
-  0x27c737d3, 0x865678eb, 0x27af53a6, 0x864eabcb, 0x27976df1, 0x8646e35c,
-  0x277f86b5, 0x863f1f9e,
-  0x27679df4, 0x86376092, 0x274fb3ae, 0x862fa638, 0x2737c7e3, 0x8627f091,
-  0x271fda96, 0x86203f9c,
-  0x2707ebc7, 0x86189359, 0x26effb76, 0x8610ebca, 0x26d809a5, 0x860948ef,
-  0x26c01655, 0x8601aac7,
-  0x26a82186, 0x85fa1153, 0x26902b39, 0x85f27c93, 0x26783370, 0x85eaec88,
-  0x26603a2c, 0x85e36132,
-  0x26483f6c, 0x85dbda91, 0x26304333, 0x85d458a6, 0x26184581, 0x85ccdb70,
-  0x26004657, 0x85c562f1,
-  0x25e845b6, 0x85bdef28, 0x25d0439f, 0x85b68015, 0x25b84012, 0x85af15b9,
-  0x25a03b11, 0x85a7b015,
-  0x2588349d, 0x85a04f28, 0x25702cb7, 0x8598f2f3, 0x2558235f, 0x85919b76,
-  0x25401896, 0x858a48b1,
-  0x25280c5e, 0x8582faa5, 0x250ffeb7, 0x857bb152, 0x24f7efa2, 0x85746cb8,
-  0x24dfdf20, 0x856d2cd7,
-  0x24c7cd33, 0x8565f1b0, 0x24afb9da, 0x855ebb44, 0x2497a517, 0x85578991,
-  0x247f8eec, 0x85505c99,
-  0x24677758, 0x8549345c, 0x244f5e5c, 0x854210db, 0x243743fa, 0x853af214,
-  0x241f2833, 0x8533d809,
-  0x24070b08, 0x852cc2bb, 0x23eeec78, 0x8525b228, 0x23d6cc87, 0x851ea652,
-  0x23beab33, 0x85179f39,
-  0x23a6887f, 0x85109cdd, 0x238e646a, 0x85099f3e, 0x23763ef7, 0x8502a65c,
-  0x235e1826, 0x84fbb239,
-  0x2345eff8, 0x84f4c2d4, 0x232dc66d, 0x84edd82d, 0x23159b88, 0x84e6f244,
-  0x22fd6f48, 0x84e0111b,
-  0x22e541af, 0x84d934b1, 0x22cd12bd, 0x84d25d06, 0x22b4e274, 0x84cb8a1b,
-  0x229cb0d5, 0x84c4bbf0,
-  0x22847de0, 0x84bdf286, 0x226c4996, 0x84b72ddb, 0x225413f8, 0x84b06df2,
-  0x223bdd08, 0x84a9b2ca,
-  0x2223a4c5, 0x84a2fc62, 0x220b6b32, 0x849c4abd, 0x21f3304f, 0x84959dd9,
-  0x21daf41d, 0x848ef5b7,
-  0x21c2b69c, 0x84885258, 0x21aa77cf, 0x8481b3bb, 0x219237b5, 0x847b19e1,
-  0x2179f64f, 0x847484ca,
-  0x2161b3a0, 0x846df477, 0x21496fa7, 0x846768e7, 0x21312a65, 0x8460e21a,
-  0x2118e3dc, 0x845a6012,
-  0x21009c0c, 0x8453e2cf, 0x20e852f6, 0x844d6a50, 0x20d0089c, 0x8446f695,
-  0x20b7bcfe, 0x844087a0,
-  0x209f701c, 0x843a1d70, 0x208721f9, 0x8433b806, 0x206ed295, 0x842d5762,
-  0x205681f1, 0x8426fb84,
-  0x203e300d, 0x8420a46c, 0x2025dcec, 0x841a521a, 0x200d888d, 0x84140490,
-  0x1ff532f2, 0x840dbbcc,
-  0x1fdcdc1b, 0x840777d0, 0x1fc4840a, 0x8401389b, 0x1fac2abf, 0x83fafe2e,
-  0x1f93d03c, 0x83f4c889,
-  0x1f7b7481, 0x83ee97ad, 0x1f63178f, 0x83e86b99, 0x1f4ab968, 0x83e2444d,
-  0x1f325a0b, 0x83dc21cb,
-  0x1f19f97b, 0x83d60412, 0x1f0197b8, 0x83cfeb22, 0x1ee934c3, 0x83c9d6fc,
-  0x1ed0d09d, 0x83c3c7a0,
-  0x1eb86b46, 0x83bdbd0e, 0x1ea004c1, 0x83b7b746, 0x1e879d0d, 0x83b1b649,
-  0x1e6f342c, 0x83abba17,
-  0x1e56ca1e, 0x83a5c2b0, 0x1e3e5ee5, 0x839fd014, 0x1e25f282, 0x8399e244,
-  0x1e0d84f5, 0x8393f940,
-  0x1df5163f, 0x838e1507, 0x1ddca662, 0x8388359b, 0x1dc4355e, 0x83825afb,
-  0x1dabc334, 0x837c8528,
-  0x1d934fe5, 0x8376b422, 0x1d7adb73, 0x8370e7e9, 0x1d6265dd, 0x836b207d,
-  0x1d49ef26, 0x83655ddf,
-  0x1d31774d, 0x835fa00f, 0x1d18fe54, 0x8359e70d, 0x1d00843d, 0x835432d8,
-  0x1ce80906, 0x834e8373,
-  0x1ccf8cb3, 0x8348d8dc, 0x1cb70f43, 0x83433314, 0x1c9e90b8, 0x833d921b,
-  0x1c861113, 0x8337f5f1,
-  0x1c6d9053, 0x83325e97, 0x1c550e7c, 0x832ccc0d, 0x1c3c8b8c, 0x83273e52,
-  0x1c240786, 0x8321b568,
-  0x1c0b826a, 0x831c314e, 0x1bf2fc3a, 0x8316b205, 0x1bda74f6, 0x8311378d,
-  0x1bc1ec9e, 0x830bc1e6,
-  0x1ba96335, 0x83065110, 0x1b90d8bb, 0x8300e50b, 0x1b784d30, 0x82fb7dd8,
-  0x1b5fc097, 0x82f61b77,
-  0x1b4732ef, 0x82f0bde8, 0x1b2ea43a, 0x82eb652b, 0x1b161479, 0x82e61141,
-  0x1afd83ad, 0x82e0c22a,
-  0x1ae4f1d6, 0x82db77e5, 0x1acc5ef6, 0x82d63274, 0x1ab3cb0d, 0x82d0f1d5,
-  0x1a9b361d, 0x82cbb60b,
-  0x1a82a026, 0x82c67f14, 0x1a6a0929, 0x82c14cf1, 0x1a517128, 0x82bc1fa2,
-  0x1a38d823, 0x82b6f727,
-  0x1a203e1b, 0x82b1d381, 0x1a07a311, 0x82acb4b0, 0x19ef0707, 0x82a79ab3,
-  0x19d669fc, 0x82a2858c,
-  0x19bdcbf3, 0x829d753a, 0x19a52ceb, 0x829869be, 0x198c8ce7, 0x82936317,
-  0x1973ebe6, 0x828e6146,
-  0x195b49ea, 0x8289644b, 0x1942a6f3, 0x82846c26, 0x192a0304, 0x827f78d8,
-  0x19115e1c, 0x827a8a61,
-  0x18f8b83c, 0x8275a0c0, 0x18e01167, 0x8270bbf7, 0x18c7699b, 0x826bdc04,
-  0x18aec0db, 0x826700e9,
-  0x18961728, 0x82622aa6, 0x187d6c82, 0x825d593a, 0x1864c0ea, 0x82588ca7,
-  0x184c1461, 0x8253c4eb,
-  0x183366e9, 0x824f0208, 0x181ab881, 0x824a43fe, 0x1802092c, 0x82458acc,
-  0x17e958ea, 0x8240d673,
-  0x17d0a7bc, 0x823c26f3, 0x17b7f5a3, 0x82377c4c, 0x179f429f, 0x8232d67f,
-  0x17868eb3, 0x822e358b,
-  0x176dd9de, 0x82299971, 0x17552422, 0x82250232, 0x173c6d80, 0x82206fcc,
-  0x1723b5f9, 0x821be240,
-  0x170afd8d, 0x82175990, 0x16f2443e, 0x8212d5b9, 0x16d98a0c, 0x820e56be,
-  0x16c0cef9, 0x8209dc9e,
-  0x16a81305, 0x82056758, 0x168f5632, 0x8200f6ef, 0x1676987f, 0x81fc8b60,
-  0x165dd9f0, 0x81f824ae,
-  0x16451a83, 0x81f3c2d7, 0x162c5a3b, 0x81ef65dc, 0x16139918, 0x81eb0dbe,
-  0x15fad71b, 0x81e6ba7c,
-  0x15e21445, 0x81e26c16, 0x15c95097, 0x81de228d, 0x15b08c12, 0x81d9dde1,
-  0x1597c6b7, 0x81d59e13,
-  0x157f0086, 0x81d16321, 0x15663982, 0x81cd2d0c, 0x154d71aa, 0x81c8fbd6,
-  0x1534a901, 0x81c4cf7d,
-  0x151bdf86, 0x81c0a801, 0x1503153a, 0x81bc8564, 0x14ea4a1f, 0x81b867a5,
-  0x14d17e36, 0x81b44ec4,
-  0x14b8b17f, 0x81b03ac2, 0x149fe3fc, 0x81ac2b9e, 0x148715ae, 0x81a82159,
-  0x146e4694, 0x81a41bf4,
-  0x145576b1, 0x81a01b6d, 0x143ca605, 0x819c1fc5, 0x1423d492, 0x819828fd,
-  0x140b0258, 0x81943715,
-  0x13f22f58, 0x81904a0c, 0x13d95b93, 0x818c61e3, 0x13c0870a, 0x81887e9a,
-  0x13a7b1bf, 0x8184a032,
-  0x138edbb1, 0x8180c6a9, 0x137604e2, 0x817cf201, 0x135d2d53, 0x8179223a,
-  0x13445505, 0x81755754,
-  0x132b7bf9, 0x8171914e, 0x1312a230, 0x816dd02a, 0x12f9c7aa, 0x816a13e6,
-  0x12e0ec6a, 0x81665c84,
-  0x12c8106f, 0x8162aa04, 0x12af33ba, 0x815efc65, 0x1296564d, 0x815b53a8,
-  0x127d7829, 0x8157afcd,
-  0x1264994e, 0x815410d4, 0x124bb9be, 0x815076bd, 0x1232d979, 0x814ce188,
-  0x1219f880, 0x81495136,
-  0x120116d5, 0x8145c5c7, 0x11e83478, 0x81423f3a, 0x11cf516a, 0x813ebd90,
-  0x11b66dad, 0x813b40ca,
-  0x119d8941, 0x8137c8e6, 0x1184a427, 0x813455e6, 0x116bbe60, 0x8130e7c9,
-  0x1152d7ed, 0x812d7e8f,
-  0x1139f0cf, 0x812a1a3a, 0x11210907, 0x8126bac8, 0x11082096, 0x8123603a,
-  0x10ef377d, 0x81200a90,
-  0x10d64dbd, 0x811cb9ca, 0x10bd6356, 0x81196de9, 0x10a4784b, 0x811626ec,
-  0x108b8c9b, 0x8112e4d4,
-  0x1072a048, 0x810fa7a0, 0x1059b352, 0x810c6f52, 0x1040c5bb, 0x81093be8,
-  0x1027d784, 0x81060d63,
-  0x100ee8ad, 0x8102e3c4, 0xff5f938, 0x80ffbf0a, 0xfdd0926, 0x80fc9f35,
-  0xfc41876, 0x80f98446,
-  0xfab272b, 0x80f66e3c, 0xf923546, 0x80f35d19, 0xf7942c7, 0x80f050db,
-  0xf604faf, 0x80ed4984,
-  0xf475bff, 0x80ea4712, 0xf2e67b8, 0x80e74987, 0xf1572dc, 0x80e450e2,
-  0xefc7d6b, 0x80e15d24,
-  0xee38766, 0x80de6e4c, 0xeca90ce, 0x80db845b, 0xeb199a4, 0x80d89f51,
-  0xe98a1e9, 0x80d5bf2e,
-  0xe7fa99e, 0x80d2e3f2, 0xe66b0c3, 0x80d00d9d, 0xe4db75b, 0x80cd3c2f,
-  0xe34bd66, 0x80ca6fa9,
-  0xe1bc2e4, 0x80c7a80a, 0xe02c7d7, 0x80c4e553, 0xde9cc40, 0x80c22784,
-  0xdd0d01f, 0x80bf6e9c,
-  0xdb7d376, 0x80bcba9d, 0xd9ed646, 0x80ba0b85, 0xd85d88f, 0x80b76156,
-  0xd6cda53, 0x80b4bc0e,
-  0xd53db92, 0x80b21baf, 0xd3adc4e, 0x80af8039, 0xd21dc87, 0x80ace9ab,
-  0xd08dc3f, 0x80aa5806,
-  0xcefdb76, 0x80a7cb49, 0xcd6da2d, 0x80a54376, 0xcbdd865, 0x80a2c08b,
-  0xca4d620, 0x80a04289,
-  0xc8bd35e, 0x809dc971, 0xc72d020, 0x809b5541, 0xc59cc68, 0x8098e5fb,
-  0xc40c835, 0x80967b9f,
-  0xc27c389, 0x8094162c, 0xc0ebe66, 0x8091b5a2, 0xbf5b8cb, 0x808f5a02,
-  0xbdcb2bb, 0x808d034c,
-  0xbc3ac35, 0x808ab180, 0xbaaa53b, 0x8088649e, 0xb919dcf, 0x80861ca6,
-  0xb7895f0, 0x8083d998,
-  0xb5f8d9f, 0x80819b74, 0xb4684df, 0x807f623b, 0xb2d7baf, 0x807d2dec,
-  0xb147211, 0x807afe87,
-  0xafb6805, 0x8078d40d, 0xae25d8d, 0x8076ae7e, 0xac952aa, 0x80748dd9,
-  0xab0475c, 0x8072721f,
-  0xa973ba5, 0x80705b50, 0xa7e2f85, 0x806e496c, 0xa6522fe, 0x806c3c74,
-  0xa4c1610, 0x806a3466,
-  0xa3308bd, 0x80683143, 0xa19fb04, 0x8066330c, 0xa00ece8, 0x806439c0,
-  0x9e7de6a, 0x80624560,
-  0x9cecf89, 0x806055eb, 0x9b5c048, 0x805e6b62, 0x99cb0a7, 0x805c85c4,
-  0x983a0a7, 0x805aa512,
-  0x96a9049, 0x8058c94c, 0x9517f8f, 0x8056f272, 0x9386e78, 0x80552084,
-  0x91f5d06, 0x80535381,
-  0x9064b3a, 0x80518b6b, 0x8ed3916, 0x804fc841, 0x8d42699, 0x804e0a04,
-  0x8bb13c5, 0x804c50b2,
-  0x8a2009a, 0x804a9c4d, 0x888ed1b, 0x8048ecd5, 0x86fd947, 0x80474248,
-  0x856c520, 0x80459ca9,
-  0x83db0a7, 0x8043fbf6, 0x8249bdd, 0x80426030, 0x80b86c2, 0x8040c956,
-  0x7f27157, 0x803f376a,
-  0x7d95b9e, 0x803daa6a, 0x7c04598, 0x803c2257, 0x7a72f45, 0x803a9f31,
-  0x78e18a7, 0x803920f8,
-  0x77501be, 0x8037a7ac, 0x75bea8c, 0x8036334e, 0x742d311, 0x8034c3dd,
-  0x729bb4e, 0x80335959,
-  0x710a345, 0x8031f3c2, 0x6f78af6, 0x80309318, 0x6de7262, 0x802f375d,
-  0x6c5598a, 0x802de08e,
-  0x6ac406f, 0x802c8ead, 0x6932713, 0x802b41ba, 0x67a0d76, 0x8029f9b4,
-  0x660f398, 0x8028b69c,
-  0x647d97c, 0x80277872, 0x62ebf22, 0x80263f36, 0x615a48b, 0x80250ae7,
-  0x5fc89b8, 0x8023db86,
-  0x5e36ea9, 0x8022b114, 0x5ca5361, 0x80218b8f, 0x5b137df, 0x80206af8,
-  0x5981c26, 0x801f4f4f,
-  0x57f0035, 0x801e3895, 0x565e40d, 0x801d26c8, 0x54cc7b1, 0x801c19ea,
-  0x533ab20, 0x801b11fa,
-  0x51a8e5c, 0x801a0ef8, 0x5017165, 0x801910e4, 0x4e8543e, 0x801817bf,
-  0x4cf36e5, 0x80172388,
-  0x4b6195d, 0x80163440, 0x49cfba7, 0x801549e6, 0x483ddc3, 0x8014647b,
-  0x46abfb3, 0x801383fe,
-  0x451a177, 0x8012a86f, 0x4388310, 0x8011d1d0, 0x41f6480, 0x8011001f,
-  0x40645c7, 0x8010335c,
-  0x3ed26e6, 0x800f6b88, 0x3d407df, 0x800ea8a3, 0x3bae8b2, 0x800deaad,
-  0x3a1c960, 0x800d31a5,
-  0x388a9ea, 0x800c7d8c, 0x36f8a51, 0x800bce63, 0x3566a96, 0x800b2427,
-  0x33d4abb, 0x800a7edb,
-  0x3242abf, 0x8009de7e, 0x30b0aa4, 0x80094310, 0x2f1ea6c, 0x8008ac90,
-  0x2d8ca16, 0x80081b00,
-  0x2bfa9a4, 0x80078e5e, 0x2a68917, 0x800706ac, 0x28d6870, 0x800683e8,
-  0x27447b0, 0x80060614,
-  0x25b26d7, 0x80058d2f, 0x24205e8, 0x80051939, 0x228e4e2, 0x8004aa32,
-  0x20fc3c6, 0x8004401a,
-  0x1f6a297, 0x8003daf1, 0x1dd8154, 0x80037ab7, 0x1c45ffe, 0x80031f6d,
-  0x1ab3e97, 0x8002c912,
-  0x1921d20, 0x800277a6, 0x178fb99, 0x80022b29, 0x15fda03, 0x8001e39b,
-  0x146b860, 0x8001a0fd,
-  0x12d96b1, 0x8001634e, 0x11474f6, 0x80012a8e, 0xfb5330, 0x8000f6bd,
-  0xe23160, 0x8000c7dc,
-  0xc90f88, 0x80009dea, 0xafeda8, 0x800078e7, 0x96cbc1, 0x800058d4, 0x7da9d4,
-  0x80003daf,
-  0x6487e3, 0x8000277a, 0x4b65ee, 0x80001635, 0x3243f5, 0x800009df, 0x1921fb,
-  0x80000278,
-};
-
-static const q31_t WeightsQ31_8192[16384] = {
-  0x7fffffff, 0x0, 0x7fffffd9, 0xfff9b781, 0x7fffff62, 0xfff36f02, 0x7ffffe9d,
-    0xffed2684,
-  0x7ffffd88, 0xffe6de05, 0x7ffffc25, 0xffe09586, 0x7ffffa73, 0xffda4d08,
-    0x7ffff872, 0xffd40489,
-  0x7ffff621, 0xffcdbc0b, 0x7ffff382, 0xffc7738c, 0x7ffff094, 0xffc12b0e,
-    0x7fffed57, 0xffbae290,
-  0x7fffe9cb, 0xffb49a12, 0x7fffe5f0, 0xffae5195, 0x7fffe1c6, 0xffa80917,
-    0x7fffdd4d, 0xffa1c09a,
-  0x7fffd886, 0xff9b781d, 0x7fffd36f, 0xff952fa0, 0x7fffce09, 0xff8ee724,
-    0x7fffc854, 0xff889ea7,
-  0x7fffc251, 0xff82562c, 0x7fffbbfe, 0xff7c0db0, 0x7fffb55c, 0xff75c535,
-    0x7fffae6c, 0xff6f7cba,
-  0x7fffa72c, 0xff69343f, 0x7fff9f9e, 0xff62ebc5, 0x7fff97c1, 0xff5ca34b,
-    0x7fff8f94, 0xff565ad1,
-  0x7fff8719, 0xff501258, 0x7fff7e4f, 0xff49c9df, 0x7fff7536, 0xff438167,
-    0x7fff6bcd, 0xff3d38ef,
-  0x7fff6216, 0xff36f078, 0x7fff5810, 0xff30a801, 0x7fff4dbb, 0xff2a5f8b,
-    0x7fff4317, 0xff241715,
-  0x7fff3824, 0xff1dcea0, 0x7fff2ce2, 0xff17862b, 0x7fff2151, 0xff113db7,
-    0x7fff1572, 0xff0af543,
-  0x7fff0943, 0xff04acd0, 0x7ffefcc5, 0xfefe645e, 0x7ffeeff8, 0xfef81bec,
-    0x7ffee2dd, 0xfef1d37b,
-  0x7ffed572, 0xfeeb8b0a, 0x7ffec7b9, 0xfee5429a, 0x7ffeb9b0, 0xfedefa2b,
-    0x7ffeab59, 0xfed8b1bd,
-  0x7ffe9cb2, 0xfed2694f, 0x7ffe8dbd, 0xfecc20e2, 0x7ffe7e79, 0xfec5d876,
-    0x7ffe6ee5, 0xfebf900a,
-  0x7ffe5f03, 0xfeb947a0, 0x7ffe4ed2, 0xfeb2ff36, 0x7ffe3e52, 0xfeacb6cc,
-    0x7ffe2d83, 0xfea66e64,
-  0x7ffe1c65, 0xfea025fd, 0x7ffe0af8, 0xfe99dd96, 0x7ffdf93c, 0xfe939530,
-    0x7ffde731, 0xfe8d4ccb,
-  0x7ffdd4d7, 0xfe870467, 0x7ffdc22e, 0xfe80bc04, 0x7ffdaf37, 0xfe7a73a2,
-    0x7ffd9bf0, 0xfe742b41,
-  0x7ffd885a, 0xfe6de2e0, 0x7ffd7476, 0xfe679a81, 0x7ffd6042, 0xfe615223,
-    0x7ffd4bc0, 0xfe5b09c5,
-  0x7ffd36ee, 0xfe54c169, 0x7ffd21ce, 0xfe4e790d, 0x7ffd0c5f, 0xfe4830b3,
-    0x7ffcf6a0, 0xfe41e85a,
-  0x7ffce093, 0xfe3ba002, 0x7ffcca37, 0xfe3557ab, 0x7ffcb38c, 0xfe2f0f55,
-    0x7ffc9c92, 0xfe28c700,
-  0x7ffc8549, 0xfe227eac, 0x7ffc6db1, 0xfe1c365a, 0x7ffc55ca, 0xfe15ee09,
-    0x7ffc3d94, 0xfe0fa5b8,
-  0x7ffc250f, 0xfe095d69, 0x7ffc0c3b, 0xfe03151c, 0x7ffbf319, 0xfdfccccf,
-    0x7ffbd9a7, 0xfdf68484,
-  0x7ffbbfe6, 0xfdf03c3a, 0x7ffba5d7, 0xfde9f3f1, 0x7ffb8b78, 0xfde3aba9,
-    0x7ffb70cb, 0xfddd6363,
-  0x7ffb55ce, 0xfdd71b1e, 0x7ffb3a83, 0xfdd0d2db, 0x7ffb1ee9, 0xfdca8a99,
-    0x7ffb0300, 0xfdc44258,
-  0x7ffae6c7, 0xfdbdfa18, 0x7ffaca40, 0xfdb7b1da, 0x7ffaad6a, 0xfdb1699e,
-    0x7ffa9045, 0xfdab2162,
-  0x7ffa72d1, 0xfda4d929, 0x7ffa550e, 0xfd9e90f0, 0x7ffa36fc, 0xfd9848b9,
-    0x7ffa189c, 0xfd920084,
-  0x7ff9f9ec, 0xfd8bb850, 0x7ff9daed, 0xfd85701e, 0x7ff9bba0, 0xfd7f27ed,
-    0x7ff99c03, 0xfd78dfbd,
-  0x7ff97c18, 0xfd729790, 0x7ff95bdd, 0xfd6c4f64, 0x7ff93b54, 0xfd660739,
-    0x7ff91a7b, 0xfd5fbf10,
-  0x7ff8f954, 0xfd5976e9, 0x7ff8d7de, 0xfd532ec3, 0x7ff8b619, 0xfd4ce69f,
-    0x7ff89405, 0xfd469e7c,
-  0x7ff871a2, 0xfd40565c, 0x7ff84ef0, 0xfd3a0e3d, 0x7ff82bef, 0xfd33c61f,
-    0x7ff8089f, 0xfd2d7e04,
-  0x7ff7e500, 0xfd2735ea, 0x7ff7c113, 0xfd20edd2, 0x7ff79cd6, 0xfd1aa5bc,
-    0x7ff7784a, 0xfd145da7,
-  0x7ff75370, 0xfd0e1594, 0x7ff72e46, 0xfd07cd83, 0x7ff708ce, 0xfd018574,
-    0x7ff6e307, 0xfcfb3d67,
-  0x7ff6bcf0, 0xfcf4f55c, 0x7ff6968b, 0xfceead52, 0x7ff66fd7, 0xfce8654b,
-    0x7ff648d4, 0xfce21d45,
-  0x7ff62182, 0xfcdbd541, 0x7ff5f9e1, 0xfcd58d3f, 0x7ff5d1f1, 0xfccf453f,
-    0x7ff5a9b2, 0xfcc8fd41,
-  0x7ff58125, 0xfcc2b545, 0x7ff55848, 0xfcbc6d4c, 0x7ff52f1d, 0xfcb62554,
-    0x7ff505a2, 0xfcafdd5e,
-  0x7ff4dbd9, 0xfca9956a, 0x7ff4b1c0, 0xfca34d78, 0x7ff48759, 0xfc9d0588,
-    0x7ff45ca3, 0xfc96bd9b,
-  0x7ff4319d, 0xfc9075af, 0x7ff40649, 0xfc8a2dc6, 0x7ff3daa6, 0xfc83e5de,
-    0x7ff3aeb4, 0xfc7d9df9,
-  0x7ff38274, 0xfc775616, 0x7ff355e4, 0xfc710e36, 0x7ff32905, 0xfc6ac657,
-    0x7ff2fbd7, 0xfc647e7b,
-  0x7ff2ce5b, 0xfc5e36a0, 0x7ff2a08f, 0xfc57eec9, 0x7ff27275, 0xfc51a6f3,
-    0x7ff2440b, 0xfc4b5f20,
-  0x7ff21553, 0xfc45174e, 0x7ff1e64c, 0xfc3ecf80, 0x7ff1b6f6, 0xfc3887b3,
-    0x7ff18751, 0xfc323fe9,
-  0x7ff1575d, 0xfc2bf821, 0x7ff1271a, 0xfc25b05c, 0x7ff0f688, 0xfc1f6899,
-    0x7ff0c5a7, 0xfc1920d8,
-  0x7ff09478, 0xfc12d91a, 0x7ff062f9, 0xfc0c915e, 0x7ff0312c, 0xfc0649a5,
-    0x7fefff0f, 0xfc0001ee,
-  0x7fefcca4, 0xfbf9ba39, 0x7fef99ea, 0xfbf37287, 0x7fef66e1, 0xfbed2ad8,
-    0x7fef3388, 0xfbe6e32b,
-  0x7feeffe1, 0xfbe09b80, 0x7feecbec, 0xfbda53d8, 0x7fee97a7, 0xfbd40c33,
-    0x7fee6313, 0xfbcdc490,
-  0x7fee2e30, 0xfbc77cf0, 0x7fedf8ff, 0xfbc13552, 0x7fedc37e, 0xfbbaedb7,
-    0x7fed8daf, 0xfbb4a61f,
-  0x7fed5791, 0xfbae5e89, 0x7fed2123, 0xfba816f6, 0x7fecea67, 0xfba1cf66,
-    0x7fecb35c, 0xfb9b87d8,
-  0x7fec7c02, 0xfb95404d, 0x7fec4459, 0xfb8ef8c5, 0x7fec0c62, 0xfb88b13f,
-    0x7febd41b, 0xfb8269bd,
-  0x7feb9b85, 0xfb7c223d, 0x7feb62a1, 0xfb75dac0, 0x7feb296d, 0xfb6f9345,
-    0x7feaefeb, 0xfb694bce,
-  0x7feab61a, 0xfb630459, 0x7fea7bfa, 0xfb5cbce7, 0x7fea418b, 0xfb567578,
-    0x7fea06cd, 0xfb502e0c,
-  0x7fe9cbc0, 0xfb49e6a3, 0x7fe99064, 0xfb439f3c, 0x7fe954ba, 0xfb3d57d9,
-    0x7fe918c0, 0xfb371078,
-  0x7fe8dc78, 0xfb30c91b, 0x7fe89fe0, 0xfb2a81c0, 0x7fe862fa, 0xfb243a69,
-    0x7fe825c5, 0xfb1df314,
-  0x7fe7e841, 0xfb17abc2, 0x7fe7aa6e, 0xfb116474, 0x7fe76c4c, 0xfb0b1d28,
-    0x7fe72ddb, 0xfb04d5e0,
-  0x7fe6ef1c, 0xfafe8e9b, 0x7fe6b00d, 0xfaf84758, 0x7fe670b0, 0xfaf20019,
-    0x7fe63103, 0xfaebb8dd,
-  0x7fe5f108, 0xfae571a4, 0x7fe5b0be, 0xfadf2a6e, 0x7fe57025, 0xfad8e33c,
-    0x7fe52f3d, 0xfad29c0c,
-  0x7fe4ee06, 0xfacc54e0, 0x7fe4ac81, 0xfac60db7, 0x7fe46aac, 0xfabfc691,
-    0x7fe42889, 0xfab97f6e,
-  0x7fe3e616, 0xfab3384f, 0x7fe3a355, 0xfaacf133, 0x7fe36045, 0xfaa6aa1a,
-    0x7fe31ce6, 0xfaa06305,
-  0x7fe2d938, 0xfa9a1bf3, 0x7fe2953b, 0xfa93d4e4, 0x7fe250ef, 0xfa8d8dd8,
-    0x7fe20c55, 0xfa8746d0,
-  0x7fe1c76b, 0xfa80ffcb, 0x7fe18233, 0xfa7ab8ca, 0x7fe13cac, 0xfa7471cc,
-    0x7fe0f6d6, 0xfa6e2ad1,
-  0x7fe0b0b1, 0xfa67e3da, 0x7fe06a3d, 0xfa619ce7, 0x7fe0237a, 0xfa5b55f7,
-    0x7fdfdc69, 0xfa550f0a,
-  0x7fdf9508, 0xfa4ec821, 0x7fdf4d59, 0xfa48813b, 0x7fdf055a, 0xfa423a59,
-    0x7fdebd0d, 0xfa3bf37a,
-  0x7fde7471, 0xfa35ac9f, 0x7fde2b86, 0xfa2f65c8, 0x7fdde24d, 0xfa291ef4,
-    0x7fdd98c4, 0xfa22d823,
-  0x7fdd4eec, 0xfa1c9157, 0x7fdd04c6, 0xfa164a8e, 0x7fdcba51, 0xfa1003c8,
-    0x7fdc6f8d, 0xfa09bd06,
-  0x7fdc247a, 0xfa037648, 0x7fdbd918, 0xf9fd2f8e, 0x7fdb8d67, 0xf9f6e8d7,
-    0x7fdb4167, 0xf9f0a224,
-  0x7fdaf519, 0xf9ea5b75, 0x7fdaa87c, 0xf9e414ca, 0x7fda5b8f, 0xf9ddce22,
-    0x7fda0e54, 0xf9d7877e,
-  0x7fd9c0ca, 0xf9d140de, 0x7fd972f2, 0xf9cafa42, 0x7fd924ca, 0xf9c4b3a9,
-    0x7fd8d653, 0xf9be6d15,
-  0x7fd8878e, 0xf9b82684, 0x7fd8387a, 0xf9b1dff7, 0x7fd7e917, 0xf9ab996e,
-    0x7fd79965, 0xf9a552e9,
-  0x7fd74964, 0xf99f0c68, 0x7fd6f914, 0xf998c5ea, 0x7fd6a875, 0xf9927f71,
-    0x7fd65788, 0xf98c38fc,
-  0x7fd6064c, 0xf985f28a, 0x7fd5b4c1, 0xf97fac1d, 0x7fd562e7, 0xf97965b4,
-    0x7fd510be, 0xf9731f4e,
-  0x7fd4be46, 0xf96cd8ed, 0x7fd46b80, 0xf9669290, 0x7fd4186a, 0xf9604c37,
-    0x7fd3c506, 0xf95a05e2,
-  0x7fd37153, 0xf953bf91, 0x7fd31d51, 0xf94d7944, 0x7fd2c900, 0xf94732fb,
-    0x7fd27460, 0xf940ecb7,
-  0x7fd21f72, 0xf93aa676, 0x7fd1ca35, 0xf934603a, 0x7fd174a8, 0xf92e1a02,
-    0x7fd11ecd, 0xf927d3ce,
-  0x7fd0c8a3, 0xf9218d9e, 0x7fd0722b, 0xf91b4773, 0x7fd01b63, 0xf915014c,
-    0x7fcfc44d, 0xf90ebb29,
-  0x7fcf6ce8, 0xf908750a, 0x7fcf1533, 0xf9022ef0, 0x7fcebd31, 0xf8fbe8da,
-    0x7fce64df, 0xf8f5a2c9,
-  0x7fce0c3e, 0xf8ef5cbb, 0x7fcdb34f, 0xf8e916b2, 0x7fcd5a11, 0xf8e2d0ae,
-    0x7fcd0083, 0xf8dc8aae,
-  0x7fcca6a7, 0xf8d644b2, 0x7fcc4c7d, 0xf8cffebb, 0x7fcbf203, 0xf8c9b8c8,
-    0x7fcb973b, 0xf8c372d9,
-  0x7fcb3c23, 0xf8bd2cef, 0x7fcae0bd, 0xf8b6e70a, 0x7fca8508, 0xf8b0a129,
-    0x7fca2905, 0xf8aa5b4c,
-  0x7fc9ccb2, 0xf8a41574, 0x7fc97011, 0xf89dcfa1, 0x7fc91320, 0xf89789d2,
-    0x7fc8b5e1, 0xf8914407,
-  0x7fc85854, 0xf88afe42, 0x7fc7fa77, 0xf884b880, 0x7fc79c4b, 0xf87e72c4,
-    0x7fc73dd1, 0xf8782d0c,
-  0x7fc6df08, 0xf871e759, 0x7fc67ff0, 0xf86ba1aa, 0x7fc62089, 0xf8655c00,
-    0x7fc5c0d3, 0xf85f165b,
-  0x7fc560cf, 0xf858d0bb, 0x7fc5007c, 0xf8528b1f, 0x7fc49fda, 0xf84c4588,
-    0x7fc43ee9, 0xf845fff5,
-  0x7fc3dda9, 0xf83fba68, 0x7fc37c1b, 0xf83974df, 0x7fc31a3d, 0xf8332f5b,
-    0x7fc2b811, 0xf82ce9dc,
-  0x7fc25596, 0xf826a462, 0x7fc1f2cc, 0xf8205eec, 0x7fc18fb4, 0xf81a197b,
-    0x7fc12c4d, 0xf813d410,
-  0x7fc0c896, 0xf80d8ea9, 0x7fc06491, 0xf8074947, 0x7fc0003e, 0xf80103ea,
-    0x7fbf9b9b, 0xf7fabe92,
-  0x7fbf36aa, 0xf7f4793e, 0x7fbed16a, 0xf7ee33f0, 0x7fbe6bdb, 0xf7e7eea7,
-    0x7fbe05fd, 0xf7e1a963,
-  0x7fbd9fd0, 0xf7db6423, 0x7fbd3955, 0xf7d51ee9, 0x7fbcd28b, 0xf7ced9b4,
-    0x7fbc6b72, 0xf7c89484,
-  0x7fbc040a, 0xf7c24f59, 0x7fbb9c53, 0xf7bc0a33, 0x7fbb344e, 0xf7b5c512,
-    0x7fbacbfa, 0xf7af7ff6,
-  0x7fba6357, 0xf7a93ae0, 0x7fb9fa65, 0xf7a2f5ce, 0x7fb99125, 0xf79cb0c2,
-    0x7fb92796, 0xf7966bbb,
-  0x7fb8bdb8, 0xf79026b9, 0x7fb8538b, 0xf789e1bc, 0x7fb7e90f, 0xf7839cc4,
-    0x7fb77e45, 0xf77d57d2,
-  0x7fb7132b, 0xf77712e5, 0x7fb6a7c3, 0xf770cdfd, 0x7fb63c0d, 0xf76a891b,
-    0x7fb5d007, 0xf764443d,
-  0x7fb563b3, 0xf75dff66, 0x7fb4f710, 0xf757ba93, 0x7fb48a1e, 0xf75175c6,
-    0x7fb41cdd, 0xf74b30fe,
-  0x7fb3af4e, 0xf744ec3b, 0x7fb34170, 0xf73ea77e, 0x7fb2d343, 0xf73862c6,
-    0x7fb264c7, 0xf7321e14,
-  0x7fb1f5fc, 0xf72bd967, 0x7fb186e3, 0xf72594c0, 0x7fb1177b, 0xf71f501e,
-    0x7fb0a7c4, 0xf7190b81,
-  0x7fb037bf, 0xf712c6ea, 0x7fafc76a, 0xf70c8259, 0x7faf56c7, 0xf7063dcd,
-    0x7faee5d5, 0xf6fff946,
-  0x7fae7495, 0xf6f9b4c6, 0x7fae0305, 0xf6f3704a, 0x7fad9127, 0xf6ed2bd4,
-    0x7fad1efa, 0xf6e6e764,
-  0x7facac7f, 0xf6e0a2fa, 0x7fac39b4, 0xf6da5e95, 0x7fabc69b, 0xf6d41a36,
-    0x7fab5333, 0xf6cdd5dc,
-  0x7faadf7c, 0xf6c79188, 0x7faa6b77, 0xf6c14d3a, 0x7fa9f723, 0xf6bb08f1,
-    0x7fa98280, 0xf6b4c4ae,
-  0x7fa90d8e, 0xf6ae8071, 0x7fa8984e, 0xf6a83c3a, 0x7fa822bf, 0xf6a1f808,
-    0x7fa7ace1, 0xf69bb3dd,
-  0x7fa736b4, 0xf6956fb7, 0x7fa6c039, 0xf68f2b96, 0x7fa6496e, 0xf688e77c,
-    0x7fa5d256, 0xf682a367,
-  0x7fa55aee, 0xf67c5f59, 0x7fa4e338, 0xf6761b50, 0x7fa46b32, 0xf66fd74d,
-    0x7fa3f2df, 0xf6699350,
-  0x7fa37a3c, 0xf6634f59, 0x7fa3014b, 0xf65d0b68, 0x7fa2880b, 0xf656c77c,
-    0x7fa20e7c, 0xf6508397,
-  0x7fa1949e, 0xf64a3fb8, 0x7fa11a72, 0xf643fbdf, 0x7fa09ff7, 0xf63db80b,
-    0x7fa0252e, 0xf637743e,
-  0x7f9faa15, 0xf6313077, 0x7f9f2eae, 0xf62aecb5, 0x7f9eb2f8, 0xf624a8fa,
-    0x7f9e36f4, 0xf61e6545,
-  0x7f9dbaa0, 0xf6182196, 0x7f9d3dfe, 0xf611dded, 0x7f9cc10d, 0xf60b9a4b,
-    0x7f9c43ce, 0xf60556ae,
-  0x7f9bc640, 0xf5ff1318, 0x7f9b4863, 0xf5f8cf87, 0x7f9aca37, 0xf5f28bfd,
-    0x7f9a4bbd, 0xf5ec4879,
-  0x7f99ccf4, 0xf5e604fc, 0x7f994ddc, 0xf5dfc184, 0x7f98ce76, 0xf5d97e13,
-    0x7f984ec1, 0xf5d33aa8,
-  0x7f97cebd, 0xf5ccf743, 0x7f974e6a, 0xf5c6b3e5, 0x7f96cdc9, 0xf5c0708d,
-    0x7f964cd9, 0xf5ba2d3b,
-  0x7f95cb9a, 0xf5b3e9f0, 0x7f954a0d, 0xf5ada6ab, 0x7f94c831, 0xf5a7636c,
-    0x7f944606, 0xf5a12034,
-  0x7f93c38c, 0xf59add02, 0x7f9340c4, 0xf59499d6, 0x7f92bdad, 0xf58e56b1,
-    0x7f923a48, 0xf5881393,
-  0x7f91b694, 0xf581d07b, 0x7f913291, 0xf57b8d69, 0x7f90ae3f, 0xf5754a5e,
-    0x7f90299f, 0xf56f0759,
-  0x7f8fa4b0, 0xf568c45b, 0x7f8f1f72, 0xf5628163, 0x7f8e99e6, 0xf55c3e72,
-    0x7f8e140a, 0xf555fb88,
-  0x7f8d8de1, 0xf54fb8a4, 0x7f8d0768, 0xf54975c6, 0x7f8c80a1, 0xf54332ef,
-    0x7f8bf98b, 0xf53cf01f,
-  0x7f8b7227, 0xf536ad56, 0x7f8aea74, 0xf5306a93, 0x7f8a6272, 0xf52a27d7,
-    0x7f89da21, 0xf523e521,
-  0x7f895182, 0xf51da273, 0x7f88c894, 0xf5175fca, 0x7f883f58, 0xf5111d29,
-    0x7f87b5cd, 0xf50ada8f,
-  0x7f872bf3, 0xf50497fb, 0x7f86a1ca, 0xf4fe556e, 0x7f861753, 0xf4f812e7,
-    0x7f858c8d, 0xf4f1d068,
-  0x7f850179, 0xf4eb8def, 0x7f847616, 0xf4e54b7d, 0x7f83ea64, 0xf4df0912,
-    0x7f835e64, 0xf4d8c6ae,
-  0x7f82d214, 0xf4d28451, 0x7f824577, 0xf4cc41fb, 0x7f81b88a, 0xf4c5ffab,
-    0x7f812b4f, 0xf4bfbd63,
-  0x7f809dc5, 0xf4b97b21, 0x7f800fed, 0xf4b338e7, 0x7f7f81c6, 0xf4acf6b3,
-    0x7f7ef350, 0xf4a6b486,
-  0x7f7e648c, 0xf4a07261, 0x7f7dd579, 0xf49a3042, 0x7f7d4617, 0xf493ee2b,
-    0x7f7cb667, 0xf48dac1a,
-  0x7f7c2668, 0xf4876a10, 0x7f7b961b, 0xf481280e, 0x7f7b057e, 0xf47ae613,
-    0x7f7a7494, 0xf474a41f,
-  0x7f79e35a, 0xf46e6231, 0x7f7951d2, 0xf468204b, 0x7f78bffb, 0xf461de6d,
-    0x7f782dd6, 0xf45b9c95,
-  0x7f779b62, 0xf4555ac5, 0x7f77089f, 0xf44f18fb, 0x7f76758e, 0xf448d739,
-    0x7f75e22e, 0xf442957e,
-  0x7f754e80, 0xf43c53cb, 0x7f74ba83, 0xf436121e, 0x7f742637, 0xf42fd079,
-    0x7f73919d, 0xf4298edc,
-  0x7f72fcb4, 0xf4234d45, 0x7f72677c, 0xf41d0bb6, 0x7f71d1f6, 0xf416ca2e,
-    0x7f713c21, 0xf41088ae,
-  0x7f70a5fe, 0xf40a4735, 0x7f700f8c, 0xf40405c3, 0x7f6f78cb, 0xf3fdc459,
-    0x7f6ee1bc, 0xf3f782f6,
-  0x7f6e4a5e, 0xf3f1419a, 0x7f6db2b1, 0xf3eb0046, 0x7f6d1ab6, 0xf3e4bef9,
-    0x7f6c826d, 0xf3de7db4,
-  0x7f6be9d4, 0xf3d83c77, 0x7f6b50ed, 0xf3d1fb40, 0x7f6ab7b8, 0xf3cbba12,
-    0x7f6a1e34, 0xf3c578eb,
-  0x7f698461, 0xf3bf37cb, 0x7f68ea40, 0xf3b8f6b3, 0x7f684fd0, 0xf3b2b5a3,
-    0x7f67b512, 0xf3ac749a,
-  0x7f671a05, 0xf3a63398, 0x7f667ea9, 0xf39ff29f, 0x7f65e2ff, 0xf399b1ad,
-    0x7f654706, 0xf39370c2,
-  0x7f64aabf, 0xf38d2fe0, 0x7f640e29, 0xf386ef05, 0x7f637144, 0xf380ae31,
-    0x7f62d411, 0xf37a6d66,
-  0x7f62368f, 0xf3742ca2, 0x7f6198bf, 0xf36debe6, 0x7f60faa0, 0xf367ab31,
-    0x7f605c33, 0xf3616a85,
-  0x7f5fbd77, 0xf35b29e0, 0x7f5f1e6c, 0xf354e943, 0x7f5e7f13, 0xf34ea8ae,
-    0x7f5ddf6b, 0xf3486820,
-  0x7f5d3f75, 0xf342279b, 0x7f5c9f30, 0xf33be71d, 0x7f5bfe9d, 0xf335a6a7,
-    0x7f5b5dbb, 0xf32f6639,
-  0x7f5abc8a, 0xf32925d3, 0x7f5a1b0b, 0xf322e575, 0x7f59793e, 0xf31ca51f,
-    0x7f58d721, 0xf31664d1,
-  0x7f5834b7, 0xf310248a, 0x7f5791fd, 0xf309e44c, 0x7f56eef5, 0xf303a416,
-    0x7f564b9f, 0xf2fd63e8,
-  0x7f55a7fa, 0xf2f723c1, 0x7f550407, 0xf2f0e3a3, 0x7f545fc5, 0xf2eaa38d,
-    0x7f53bb34, 0xf2e4637f,
-  0x7f531655, 0xf2de2379, 0x7f527127, 0xf2d7e37b, 0x7f51cbab, 0xf2d1a385,
-    0x7f5125e0, 0xf2cb6398,
-  0x7f507fc7, 0xf2c523b2, 0x7f4fd95f, 0xf2bee3d5, 0x7f4f32a9, 0xf2b8a400,
-    0x7f4e8ba4, 0xf2b26433,
-  0x7f4de451, 0xf2ac246e, 0x7f4d3caf, 0xf2a5e4b1, 0x7f4c94be, 0xf29fa4fd,
-    0x7f4bec7f, 0xf2996551,
-  0x7f4b43f2, 0xf29325ad, 0x7f4a9b16, 0xf28ce612, 0x7f49f1eb, 0xf286a67e,
-    0x7f494872, 0xf28066f4,
-  0x7f489eaa, 0xf27a2771, 0x7f47f494, 0xf273e7f7, 0x7f474a30, 0xf26da885,
-    0x7f469f7d, 0xf267691b,
-  0x7f45f47b, 0xf26129ba, 0x7f45492b, 0xf25aea61, 0x7f449d8c, 0xf254ab11,
-    0x7f43f19f, 0xf24e6bc9,
-  0x7f434563, 0xf2482c8a, 0x7f4298d9, 0xf241ed53, 0x7f41ec01, 0xf23bae24,
-    0x7f413ed9, 0xf2356efe,
-  0x7f409164, 0xf22f2fe1, 0x7f3fe3a0, 0xf228f0cc, 0x7f3f358d, 0xf222b1c0,
-    0x7f3e872c, 0xf21c72bc,
-  0x7f3dd87c, 0xf21633c0, 0x7f3d297e, 0xf20ff4ce, 0x7f3c7a31, 0xf209b5e4,
-    0x7f3bca96, 0xf2037702,
-  0x7f3b1aad, 0xf1fd3829, 0x7f3a6a75, 0xf1f6f959, 0x7f39b9ee, 0xf1f0ba91,
-    0x7f390919, 0xf1ea7bd2,
-  0x7f3857f6, 0xf1e43d1c, 0x7f37a684, 0xf1ddfe6f, 0x7f36f4c3, 0xf1d7bfca,
-    0x7f3642b4, 0xf1d1812e,
-  0x7f359057, 0xf1cb429a, 0x7f34ddab, 0xf1c50410, 0x7f342ab1, 0xf1bec58e,
-    0x7f337768, 0xf1b88715,
-  0x7f32c3d1, 0xf1b248a5, 0x7f320feb, 0xf1ac0a3e, 0x7f315bb7, 0xf1a5cbdf,
-    0x7f30a734, 0xf19f8d89,
-  0x7f2ff263, 0xf1994f3d, 0x7f2f3d44, 0xf19310f9, 0x7f2e87d6, 0xf18cd2be,
-    0x7f2dd219, 0xf186948c,
-  0x7f2d1c0e, 0xf1805662, 0x7f2c65b5, 0xf17a1842, 0x7f2baf0d, 0xf173da2b,
-    0x7f2af817, 0xf16d9c1d,
-  0x7f2a40d2, 0xf1675e17, 0x7f29893f, 0xf161201b, 0x7f28d15d, 0xf15ae228,
-    0x7f28192d, 0xf154a43d,
-  0x7f2760af, 0xf14e665c, 0x7f26a7e2, 0xf1482884, 0x7f25eec7, 0xf141eab5,
-    0x7f25355d, 0xf13bacef,
-  0x7f247ba5, 0xf1356f32, 0x7f23c19e, 0xf12f317e, 0x7f230749, 0xf128f3d4,
-    0x7f224ca6, 0xf122b632,
-  0x7f2191b4, 0xf11c789a, 0x7f20d674, 0xf1163b0b, 0x7f201ae5, 0xf10ffd85,
-    0x7f1f5f08, 0xf109c009,
-  0x7f1ea2dc, 0xf1038295, 0x7f1de662, 0xf0fd452b, 0x7f1d299a, 0xf0f707ca,
-    0x7f1c6c83, 0xf0f0ca72,
-  0x7f1baf1e, 0xf0ea8d24, 0x7f1af16a, 0xf0e44fdf, 0x7f1a3368, 0xf0de12a3,
-    0x7f197518, 0xf0d7d571,
-  0x7f18b679, 0xf0d19848, 0x7f17f78c, 0xf0cb5b28, 0x7f173850, 0xf0c51e12,
-    0x7f1678c6, 0xf0bee105,
-  0x7f15b8ee, 0xf0b8a401, 0x7f14f8c7, 0xf0b26707, 0x7f143852, 0xf0ac2a16,
-    0x7f13778e, 0xf0a5ed2f,
-  0x7f12b67c, 0xf09fb051, 0x7f11f51c, 0xf099737d, 0x7f11336d, 0xf09336b2,
-    0x7f107170, 0xf08cf9f1,
-  0x7f0faf25, 0xf086bd39, 0x7f0eec8b, 0xf080808b, 0x7f0e29a3, 0xf07a43e7,
-    0x7f0d666c, 0xf074074c,
-  0x7f0ca2e7, 0xf06dcaba, 0x7f0bdf14, 0xf0678e32, 0x7f0b1af2, 0xf06151b4,
-    0x7f0a5682, 0xf05b1540,
-  0x7f0991c4, 0xf054d8d5, 0x7f08ccb7, 0xf04e9c73, 0x7f08075c, 0xf048601c,
-    0x7f0741b2, 0xf04223ce,
-  0x7f067bba, 0xf03be78a, 0x7f05b574, 0xf035ab4f, 0x7f04eedf, 0xf02f6f1f,
-    0x7f0427fc, 0xf02932f8,
-  0x7f0360cb, 0xf022f6da, 0x7f02994b, 0xf01cbac7, 0x7f01d17d, 0xf0167ebd,
-    0x7f010961, 0xf01042be,
-  0x7f0040f6, 0xf00a06c8, 0x7eff783d, 0xf003cadc, 0x7efeaf36, 0xeffd8ef9,
-    0x7efde5e0, 0xeff75321,
-  0x7efd1c3c, 0xeff11753, 0x7efc524a, 0xefeadb8e, 0x7efb8809, 0xefe49fd3,
-    0x7efabd7a, 0xefde6423,
-  0x7ef9f29d, 0xefd8287c, 0x7ef92771, 0xefd1ecdf, 0x7ef85bf7, 0xefcbb14c,
-    0x7ef7902f, 0xefc575c3,
-  0x7ef6c418, 0xefbf3a45, 0x7ef5f7b3, 0xefb8fed0, 0x7ef52b00, 0xefb2c365,
-    0x7ef45dfe, 0xefac8804,
-  0x7ef390ae, 0xefa64cae, 0x7ef2c310, 0xefa01161, 0x7ef1f524, 0xef99d61f,
-    0x7ef126e9, 0xef939ae6,
-  0x7ef05860, 0xef8d5fb8, 0x7eef8988, 0xef872494, 0x7eeeba62, 0xef80e97a,
-    0x7eedeaee, 0xef7aae6b,
-  0x7eed1b2c, 0xef747365, 0x7eec4b1b, 0xef6e386a, 0x7eeb7abc, 0xef67fd79,
-    0x7eeaaa0f, 0xef61c292,
-  0x7ee9d914, 0xef5b87b5, 0x7ee907ca, 0xef554ce3, 0x7ee83632, 0xef4f121b,
-    0x7ee7644c, 0xef48d75d,
-  0x7ee69217, 0xef429caa, 0x7ee5bf94, 0xef3c6201, 0x7ee4ecc3, 0xef362762,
-    0x7ee419a3, 0xef2feccd,
-  0x7ee34636, 0xef29b243, 0x7ee2727a, 0xef2377c4, 0x7ee19e6f, 0xef1d3d4e,
-    0x7ee0ca17, 0xef1702e4,
-  0x7edff570, 0xef10c883, 0x7edf207b, 0xef0a8e2d, 0x7ede4b38, 0xef0453e2,
-    0x7edd75a6, 0xeefe19a1,
-  0x7edc9fc6, 0xeef7df6a, 0x7edbc998, 0xeef1a53e, 0x7edaf31c, 0xeeeb6b1c,
-    0x7eda1c51, 0xeee53105,
-  0x7ed94538, 0xeedef6f9, 0x7ed86dd1, 0xeed8bcf7, 0x7ed7961c, 0xeed28300,
-    0x7ed6be18, 0xeecc4913,
-  0x7ed5e5c6, 0xeec60f31, 0x7ed50d26, 0xeebfd55a, 0x7ed43438, 0xeeb99b8d,
-    0x7ed35afb, 0xeeb361cb,
-  0x7ed28171, 0xeead2813, 0x7ed1a798, 0xeea6ee66, 0x7ed0cd70, 0xeea0b4c4,
-    0x7ecff2fb, 0xee9a7b2d,
-  0x7ecf1837, 0xee9441a0, 0x7ece3d25, 0xee8e081e, 0x7ecd61c5, 0xee87cea7,
-    0x7ecc8617, 0xee81953b,
-  0x7ecbaa1a, 0xee7b5bd9, 0x7ecacdd0, 0xee752283, 0x7ec9f137, 0xee6ee937,
-    0x7ec9144f, 0xee68aff6,
-  0x7ec8371a, 0xee6276bf, 0x7ec75996, 0xee5c3d94, 0x7ec67bc5, 0xee560473,
-    0x7ec59da5, 0xee4fcb5e,
-  0x7ec4bf36, 0xee499253, 0x7ec3e07a, 0xee435953, 0x7ec3016f, 0xee3d205e,
-    0x7ec22217, 0xee36e775,
-  0x7ec14270, 0xee30ae96, 0x7ec0627a, 0xee2a75c2, 0x7ebf8237, 0xee243cf9,
-    0x7ebea1a6, 0xee1e043b,
-  0x7ebdc0c6, 0xee17cb88, 0x7ebcdf98, 0xee1192e0, 0x7ebbfe1c, 0xee0b5a43,
-    0x7ebb1c52, 0xee0521b2,
-  0x7eba3a39, 0xedfee92b, 0x7eb957d2, 0xedf8b0b0, 0x7eb8751e, 0xedf2783f,
-    0x7eb7921b, 0xedec3fda,
-  0x7eb6aeca, 0xede60780, 0x7eb5cb2a, 0xeddfcf31, 0x7eb4e73d, 0xedd996ed,
-    0x7eb40301, 0xedd35eb5,
-  0x7eb31e78, 0xedcd2687, 0x7eb239a0, 0xedc6ee65, 0x7eb1547a, 0xedc0b64e,
-    0x7eb06f05, 0xedba7e43,
-  0x7eaf8943, 0xedb44642, 0x7eaea333, 0xedae0e4d, 0x7eadbcd4, 0xeda7d664,
-    0x7eacd627, 0xeda19e85,
-  0x7eabef2c, 0xed9b66b2, 0x7eab07e3, 0xed952eea, 0x7eaa204c, 0xed8ef72e,
-    0x7ea93867, 0xed88bf7d,
-  0x7ea85033, 0xed8287d7, 0x7ea767b2, 0xed7c503d, 0x7ea67ee2, 0xed7618ae,
-    0x7ea595c4, 0xed6fe12b,
-  0x7ea4ac58, 0xed69a9b3, 0x7ea3c29e, 0xed637246, 0x7ea2d896, 0xed5d3ae5,
-    0x7ea1ee3f, 0xed570390,
-  0x7ea1039b, 0xed50cc46, 0x7ea018a8, 0xed4a9507, 0x7e9f2d68, 0xed445dd5,
-    0x7e9e41d9, 0xed3e26ad,
-  0x7e9d55fc, 0xed37ef91, 0x7e9c69d1, 0xed31b881, 0x7e9b7d58, 0xed2b817d,
-    0x7e9a9091, 0xed254a84,
-  0x7e99a37c, 0xed1f1396, 0x7e98b618, 0xed18dcb5, 0x7e97c867, 0xed12a5df,
-    0x7e96da67, 0xed0c6f14,
-  0x7e95ec1a, 0xed063856, 0x7e94fd7e, 0xed0001a3, 0x7e940e94, 0xecf9cafb,
-    0x7e931f5c, 0xecf39460,
-  0x7e922fd6, 0xeced5dd0, 0x7e914002, 0xece7274c, 0x7e904fe0, 0xece0f0d4,
-    0x7e8f5f70, 0xecdaba67,
-  0x7e8e6eb2, 0xecd48407, 0x7e8d7da6, 0xecce4db2, 0x7e8c8c4b, 0xecc81769,
-    0x7e8b9aa3, 0xecc1e12c,
-  0x7e8aa8ac, 0xecbbaafb, 0x7e89b668, 0xecb574d5, 0x7e88c3d5, 0xecaf3ebc,
-    0x7e87d0f5, 0xeca908ae,
-  0x7e86ddc6, 0xeca2d2ad, 0x7e85ea49, 0xec9c9cb7, 0x7e84f67e, 0xec9666cd,
-    0x7e840265, 0xec9030f0,
-  0x7e830dff, 0xec89fb1e, 0x7e82194a, 0xec83c558, 0x7e812447, 0xec7d8f9e,
-    0x7e802ef6, 0xec7759f1,
-  0x7e7f3957, 0xec71244f, 0x7e7e436a, 0xec6aeeba, 0x7e7d4d2f, 0xec64b930,
-    0x7e7c56a5, 0xec5e83b3,
-  0x7e7b5fce, 0xec584e41, 0x7e7a68a9, 0xec5218dc, 0x7e797136, 0xec4be383,
-    0x7e787975, 0xec45ae36,
-  0x7e778166, 0xec3f78f6, 0x7e768908, 0xec3943c1, 0x7e75905d, 0xec330e99,
-    0x7e749764, 0xec2cd97d,
-  0x7e739e1d, 0xec26a46d, 0x7e72a488, 0xec206f69, 0x7e71aaa4, 0xec1a3a72,
-    0x7e70b073, 0xec140587,
-  0x7e6fb5f4, 0xec0dd0a8, 0x7e6ebb27, 0xec079bd6, 0x7e6dc00c, 0xec01670f,
-    0x7e6cc4a2, 0xebfb3256,
-  0x7e6bc8eb, 0xebf4fda8, 0x7e6acce6, 0xebeec907, 0x7e69d093, 0xebe89472,
-    0x7e68d3f2, 0xebe25fea,
-  0x7e67d703, 0xebdc2b6e, 0x7e66d9c6, 0xebd5f6fe, 0x7e65dc3b, 0xebcfc29b,
-    0x7e64de62, 0xebc98e45,
-  0x7e63e03b, 0xebc359fb, 0x7e62e1c6, 0xebbd25bd, 0x7e61e303, 0xebb6f18c,
-    0x7e60e3f2, 0xebb0bd67,
-  0x7e5fe493, 0xebaa894f, 0x7e5ee4e6, 0xeba45543, 0x7e5de4ec, 0xeb9e2144,
-    0x7e5ce4a3, 0xeb97ed52,
-  0x7e5be40c, 0xeb91b96c, 0x7e5ae328, 0xeb8b8593, 0x7e59e1f5, 0xeb8551c6,
-    0x7e58e075, 0xeb7f1e06,
-  0x7e57dea7, 0xeb78ea52, 0x7e56dc8a, 0xeb72b6ac, 0x7e55da20, 0xeb6c8312,
-    0x7e54d768, 0xeb664f84,
-  0x7e53d462, 0xeb601c04, 0x7e52d10e, 0xeb59e890, 0x7e51cd6c, 0xeb53b529,
-    0x7e50c97c, 0xeb4d81ce,
-  0x7e4fc53e, 0xeb474e81, 0x7e4ec0b2, 0xeb411b40, 0x7e4dbbd9, 0xeb3ae80c,
-    0x7e4cb6b1, 0xeb34b4e4,
-  0x7e4bb13c, 0xeb2e81ca, 0x7e4aab78, 0xeb284ebc, 0x7e49a567, 0xeb221bbb,
-    0x7e489f08, 0xeb1be8c8,
-  0x7e47985b, 0xeb15b5e1, 0x7e469160, 0xeb0f8307, 0x7e458a17, 0xeb095039,
-    0x7e448281, 0xeb031d79,
-  0x7e437a9c, 0xeafceac6, 0x7e427269, 0xeaf6b81f, 0x7e4169e9, 0xeaf08586,
-    0x7e40611b, 0xeaea52fa,
-  0x7e3f57ff, 0xeae4207a, 0x7e3e4e95, 0xeaddee08, 0x7e3d44dd, 0xead7bba3,
-    0x7e3c3ad7, 0xead1894b,
-  0x7e3b3083, 0xeacb56ff, 0x7e3a25e2, 0xeac524c1, 0x7e391af3, 0xeabef290,
-    0x7e380fb5, 0xeab8c06c,
-  0x7e37042a, 0xeab28e56, 0x7e35f851, 0xeaac5c4c, 0x7e34ec2b, 0xeaa62a4f,
-    0x7e33dfb6, 0xea9ff860,
-  0x7e32d2f4, 0xea99c67e, 0x7e31c5e3, 0xea9394a9, 0x7e30b885, 0xea8d62e1,
-    0x7e2faad9, 0xea873127,
-  0x7e2e9cdf, 0xea80ff7a, 0x7e2d8e97, 0xea7acdda, 0x7e2c8002, 0xea749c47,
-    0x7e2b711f, 0xea6e6ac2,
-  0x7e2a61ed, 0xea683949, 0x7e29526e, 0xea6207df, 0x7e2842a2, 0xea5bd681,
-    0x7e273287, 0xea55a531,
-  0x7e26221f, 0xea4f73ee, 0x7e251168, 0xea4942b9, 0x7e240064, 0xea431191,
-    0x7e22ef12, 0xea3ce077,
-  0x7e21dd73, 0xea36af69, 0x7e20cb85, 0xea307e6a, 0x7e1fb94a, 0xea2a4d78,
-    0x7e1ea6c1, 0xea241c93,
-  0x7e1d93ea, 0xea1debbb, 0x7e1c80c5, 0xea17baf2, 0x7e1b6d53, 0xea118a35,
-    0x7e1a5992, 0xea0b5987,
-  0x7e194584, 0xea0528e5, 0x7e183128, 0xe9fef852, 0x7e171c7f, 0xe9f8c7cc,
-    0x7e160787, 0xe9f29753,
-  0x7e14f242, 0xe9ec66e8, 0x7e13dcaf, 0xe9e6368b, 0x7e12c6ce, 0xe9e0063c,
-    0x7e11b0a0, 0xe9d9d5fa,
-  0x7e109a24, 0xe9d3a5c5, 0x7e0f835a, 0xe9cd759f, 0x7e0e6c42, 0xe9c74586,
-    0x7e0d54dc, 0xe9c1157a,
-  0x7e0c3d29, 0xe9bae57d, 0x7e0b2528, 0xe9b4b58d, 0x7e0a0cd9, 0xe9ae85ab,
-    0x7e08f43d, 0xe9a855d7,
-  0x7e07db52, 0xe9a22610, 0x7e06c21a, 0xe99bf658, 0x7e05a894, 0xe995c6ad,
-    0x7e048ec1, 0xe98f9710,
-  0x7e0374a0, 0xe9896781, 0x7e025a31, 0xe98337ff, 0x7e013f74, 0xe97d088c,
-    0x7e00246a, 0xe976d926,
-  0x7dff0911, 0xe970a9ce, 0x7dfded6c, 0xe96a7a85, 0x7dfcd178, 0xe9644b49,
-    0x7dfbb537, 0xe95e1c1b,
-  0x7dfa98a8, 0xe957ecfb, 0x7df97bcb, 0xe951bde9, 0x7df85ea0, 0xe94b8ee5,
-    0x7df74128, 0xe9455fef,
-  0x7df62362, 0xe93f3107, 0x7df5054f, 0xe939022d, 0x7df3e6ee, 0xe932d361,
-    0x7df2c83f, 0xe92ca4a4,
-  0x7df1a942, 0xe92675f4, 0x7df089f8, 0xe9204752, 0x7def6a60, 0xe91a18bf,
-    0x7dee4a7a, 0xe913ea39,
-  0x7ded2a47, 0xe90dbbc2, 0x7dec09c6, 0xe9078d59, 0x7deae8f7, 0xe9015efe,
-    0x7de9c7da, 0xe8fb30b1,
-  0x7de8a670, 0xe8f50273, 0x7de784b9, 0xe8eed443, 0x7de662b3, 0xe8e8a621,
-    0x7de54060, 0xe8e2780d,
-  0x7de41dc0, 0xe8dc4a07, 0x7de2fad1, 0xe8d61c10, 0x7de1d795, 0xe8cfee27,
-    0x7de0b40b, 0xe8c9c04c,
-  0x7ddf9034, 0xe8c39280, 0x7dde6c0f, 0xe8bd64c2, 0x7ddd479d, 0xe8b73712,
-    0x7ddc22dc, 0xe8b10971,
-  0x7ddafdce, 0xe8aadbde, 0x7dd9d873, 0xe8a4ae59, 0x7dd8b2ca, 0xe89e80e3,
-    0x7dd78cd3, 0xe898537b,
-  0x7dd6668f, 0xe8922622, 0x7dd53ffc, 0xe88bf8d7, 0x7dd4191d, 0xe885cb9a,
-    0x7dd2f1f0, 0xe87f9e6c,
-  0x7dd1ca75, 0xe879714d, 0x7dd0a2ac, 0xe873443c, 0x7dcf7a96, 0xe86d173a,
-    0x7dce5232, 0xe866ea46,
-  0x7dcd2981, 0xe860bd61, 0x7dcc0082, 0xe85a908a, 0x7dcad736, 0xe85463c2,
-    0x7dc9ad9c, 0xe84e3708,
-  0x7dc883b4, 0xe8480a5d, 0x7dc7597f, 0xe841ddc1, 0x7dc62efc, 0xe83bb133,
-    0x7dc5042b, 0xe83584b4,
-  0x7dc3d90d, 0xe82f5844, 0x7dc2ada2, 0xe8292be3, 0x7dc181e8, 0xe822ff90,
-    0x7dc055e2, 0xe81cd34b,
-  0x7dbf298d, 0xe816a716, 0x7dbdfceb, 0xe8107aef, 0x7dbccffc, 0xe80a4ed7,
-    0x7dbba2bf, 0xe80422ce,
-  0x7dba7534, 0xe7fdf6d4, 0x7db9475c, 0xe7f7cae8, 0x7db81936, 0xe7f19f0c,
-    0x7db6eac3, 0xe7eb733e,
-  0x7db5bc02, 0xe7e5477f, 0x7db48cf4, 0xe7df1bcf, 0x7db35d98, 0xe7d8f02d,
-    0x7db22def, 0xe7d2c49b,
-  0x7db0fdf8, 0xe7cc9917, 0x7dafcdb3, 0xe7c66da3, 0x7dae9d21, 0xe7c0423d,
-    0x7dad6c42, 0xe7ba16e7,
-  0x7dac3b15, 0xe7b3eb9f, 0x7dab099a, 0xe7adc066, 0x7da9d7d2, 0xe7a7953d,
-    0x7da8a5bc, 0xe7a16a22,
-  0x7da77359, 0xe79b3f16, 0x7da640a9, 0xe795141a, 0x7da50dab, 0xe78ee92c,
-    0x7da3da5f, 0xe788be4e,
-  0x7da2a6c6, 0xe782937e, 0x7da172df, 0xe77c68be, 0x7da03eab, 0xe7763e0d,
-    0x7d9f0a29, 0xe770136b,
-  0x7d9dd55a, 0xe769e8d8, 0x7d9ca03e, 0xe763be55, 0x7d9b6ad3, 0xe75d93e0,
-    0x7d9a351c, 0xe757697b,
-  0x7d98ff17, 0xe7513f25, 0x7d97c8c4, 0xe74b14de, 0x7d969224, 0xe744eaa6,
-    0x7d955b37, 0xe73ec07e,
-  0x7d9423fc, 0xe7389665, 0x7d92ec73, 0xe7326c5b, 0x7d91b49e, 0xe72c4260,
-    0x7d907c7a, 0xe7261875,
-  0x7d8f4409, 0xe71fee99, 0x7d8e0b4b, 0xe719c4cd, 0x7d8cd240, 0xe7139b10,
-    0x7d8b98e6, 0xe70d7162,
-  0x7d8a5f40, 0xe70747c4, 0x7d89254c, 0xe7011e35, 0x7d87eb0a, 0xe6faf4b5,
-    0x7d86b07c, 0xe6f4cb45,
-  0x7d85759f, 0xe6eea1e4, 0x7d843a76, 0xe6e87893, 0x7d82fefe, 0xe6e24f51,
-    0x7d81c33a, 0xe6dc261f,
-  0x7d808728, 0xe6d5fcfc, 0x7d7f4ac8, 0xe6cfd3e9, 0x7d7e0e1c, 0xe6c9aae5,
-    0x7d7cd121, 0xe6c381f1,
-  0x7d7b93da, 0xe6bd590d, 0x7d7a5645, 0xe6b73038, 0x7d791862, 0xe6b10772,
-    0x7d77da32, 0xe6aadebc,
-  0x7d769bb5, 0xe6a4b616, 0x7d755cea, 0xe69e8d80, 0x7d741dd2, 0xe69864f9,
-    0x7d72de6d, 0xe6923c82,
-  0x7d719eba, 0xe68c141a, 0x7d705eba, 0xe685ebc2, 0x7d6f1e6c, 0xe67fc37a,
-    0x7d6dddd2, 0xe6799b42,
-  0x7d6c9ce9, 0xe6737319, 0x7d6b5bb4, 0xe66d4b01, 0x7d6a1a31, 0xe66722f7,
-    0x7d68d860, 0xe660fafe,
-  0x7d679642, 0xe65ad315, 0x7d6653d7, 0xe654ab3b, 0x7d65111f, 0xe64e8371,
-    0x7d63ce19, 0xe6485bb7,
-  0x7d628ac6, 0xe642340d, 0x7d614725, 0xe63c0c73, 0x7d600338, 0xe635e4e9,
-    0x7d5ebefc, 0xe62fbd6e,
-  0x7d5d7a74, 0xe6299604, 0x7d5c359e, 0xe6236ea9, 0x7d5af07b, 0xe61d475e,
-    0x7d59ab0a, 0xe6172024,
-  0x7d58654d, 0xe610f8f9, 0x7d571f41, 0xe60ad1de, 0x7d55d8e9, 0xe604aad4,
-    0x7d549243, 0xe5fe83d9,
-  0x7d534b50, 0xe5f85cef, 0x7d520410, 0xe5f23614, 0x7d50bc82, 0xe5ec0f4a,
-    0x7d4f74a7, 0xe5e5e88f,
-  0x7d4e2c7f, 0xe5dfc1e5, 0x7d4ce409, 0xe5d99b4b, 0x7d4b9b46, 0xe5d374c1,
-    0x7d4a5236, 0xe5cd4e47,
-  0x7d4908d9, 0xe5c727dd, 0x7d47bf2e, 0xe5c10184, 0x7d467536, 0xe5badb3a,
-    0x7d452af1, 0xe5b4b501,
-  0x7d43e05e, 0xe5ae8ed8, 0x7d42957e, 0xe5a868bf, 0x7d414a51, 0xe5a242b7,
-    0x7d3ffed7, 0xe59c1cbf,
-  0x7d3eb30f, 0xe595f6d7, 0x7d3d66fa, 0xe58fd0ff, 0x7d3c1a98, 0xe589ab38,
-    0x7d3acde9, 0xe5838581,
-  0x7d3980ec, 0xe57d5fda, 0x7d3833a2, 0xe5773a44, 0x7d36e60b, 0xe57114be,
-    0x7d359827, 0xe56aef49,
-  0x7d3449f5, 0xe564c9e3, 0x7d32fb76, 0xe55ea48f, 0x7d31acaa, 0xe5587f4a,
-    0x7d305d91, 0xe5525a17,
-  0x7d2f0e2b, 0xe54c34f3, 0x7d2dbe77, 0xe5460fe0, 0x7d2c6e76, 0xe53feade,
-    0x7d2b1e28, 0xe539c5ec,
-  0x7d29cd8c, 0xe533a10a, 0x7d287ca4, 0xe52d7c39, 0x7d272b6e, 0xe5275779,
-    0x7d25d9eb, 0xe52132c9,
-  0x7d24881b, 0xe51b0e2a, 0x7d2335fe, 0xe514e99b, 0x7d21e393, 0xe50ec51d,
-    0x7d2090db, 0xe508a0b0,
-  0x7d1f3dd6, 0xe5027c53, 0x7d1dea84, 0xe4fc5807, 0x7d1c96e5, 0xe4f633cc,
-    0x7d1b42f9, 0xe4f00fa1,
-  0x7d19eebf, 0xe4e9eb87, 0x7d189a38, 0xe4e3c77d, 0x7d174564, 0xe4dda385,
-    0x7d15f043, 0xe4d77f9d,
-  0x7d149ad5, 0xe4d15bc6, 0x7d134519, 0xe4cb37ff, 0x7d11ef11, 0xe4c5144a,
-    0x7d1098bb, 0xe4bef0a5,
-  0x7d0f4218, 0xe4b8cd11, 0x7d0deb28, 0xe4b2a98e, 0x7d0c93eb, 0xe4ac861b,
-    0x7d0b3c60, 0xe4a662ba,
-  0x7d09e489, 0xe4a03f69, 0x7d088c64, 0xe49a1c29, 0x7d0733f3, 0xe493f8fb,
-    0x7d05db34, 0xe48dd5dd,
-  0x7d048228, 0xe487b2d0, 0x7d0328cf, 0xe4818fd4, 0x7d01cf29, 0xe47b6ce9,
-    0x7d007535, 0xe4754a0e,
-  0x7cff1af5, 0xe46f2745, 0x7cfdc068, 0xe469048d, 0x7cfc658d, 0xe462e1e6,
-    0x7cfb0a65, 0xe45cbf50,
-  0x7cf9aef0, 0xe4569ccb, 0x7cf8532f, 0xe4507a57, 0x7cf6f720, 0xe44a57f4,
-    0x7cf59ac4, 0xe44435a2,
-  0x7cf43e1a, 0xe43e1362, 0x7cf2e124, 0xe437f132, 0x7cf183e1, 0xe431cf14,
-    0x7cf02651, 0xe42bad07,
-  0x7ceec873, 0xe4258b0a, 0x7ced6a49, 0xe41f6920, 0x7cec0bd1, 0xe4194746,
-    0x7ceaad0c, 0xe413257d,
-  0x7ce94dfb, 0xe40d03c6, 0x7ce7ee9c, 0xe406e220, 0x7ce68ef0, 0xe400c08b,
-    0x7ce52ef7, 0xe3fa9f08,
-  0x7ce3ceb2, 0xe3f47d96, 0x7ce26e1f, 0xe3ee5c35, 0x7ce10d3f, 0xe3e83ae5,
-    0x7cdfac12, 0xe3e219a7,
-  0x7cde4a98, 0xe3dbf87a, 0x7cdce8d1, 0xe3d5d75e, 0x7cdb86bd, 0xe3cfb654,
-    0x7cda245c, 0xe3c9955b,
-  0x7cd8c1ae, 0xe3c37474, 0x7cd75eb3, 0xe3bd539e, 0x7cd5fb6a, 0xe3b732d9,
-    0x7cd497d5, 0xe3b11226,
-  0x7cd333f3, 0xe3aaf184, 0x7cd1cfc4, 0xe3a4d0f4, 0x7cd06b48, 0xe39eb075,
-    0x7ccf067f, 0xe3989008,
-  0x7ccda169, 0xe3926fad, 0x7ccc3c06, 0xe38c4f63, 0x7ccad656, 0xe3862f2a,
-    0x7cc97059, 0xe3800f03,
-  0x7cc80a0f, 0xe379eeed, 0x7cc6a378, 0xe373ceea, 0x7cc53c94, 0xe36daef7,
-    0x7cc3d563, 0xe3678f17,
-  0x7cc26de5, 0xe3616f48, 0x7cc1061a, 0xe35b4f8b, 0x7cbf9e03, 0xe3552fdf,
-    0x7cbe359e, 0xe34f1045,
-  0x7cbcccec, 0xe348f0bd, 0x7cbb63ee, 0xe342d146, 0x7cb9faa2, 0xe33cb1e1,
-    0x7cb8910a, 0xe336928e,
-  0x7cb72724, 0xe330734d, 0x7cb5bcf2, 0xe32a541d, 0x7cb45272, 0xe3243500,
-    0x7cb2e7a6, 0xe31e15f4,
-  0x7cb17c8d, 0xe317f6fa, 0x7cb01127, 0xe311d811, 0x7caea574, 0xe30bb93b,
-    0x7cad3974, 0xe3059a76,
-  0x7cabcd28, 0xe2ff7bc3, 0x7caa608e, 0xe2f95d23, 0x7ca8f3a7, 0xe2f33e94,
-    0x7ca78674, 0xe2ed2017,
-  0x7ca618f3, 0xe2e701ac, 0x7ca4ab26, 0xe2e0e352, 0x7ca33d0c, 0xe2dac50b,
-    0x7ca1cea5, 0xe2d4a6d6,
-  0x7ca05ff1, 0xe2ce88b3, 0x7c9ef0f0, 0xe2c86aa2, 0x7c9d81a3, 0xe2c24ca2,
-    0x7c9c1208, 0xe2bc2eb5,
-  0x7c9aa221, 0xe2b610da, 0x7c9931ec, 0xe2aff311, 0x7c97c16b, 0xe2a9d55a,
-    0x7c96509d, 0xe2a3b7b5,
-  0x7c94df83, 0xe29d9a23, 0x7c936e1b, 0xe2977ca2, 0x7c91fc66, 0xe2915f34,
-    0x7c908a65, 0xe28b41d7,
-  0x7c8f1817, 0xe285248d, 0x7c8da57c, 0xe27f0755, 0x7c8c3294, 0xe278ea30,
-    0x7c8abf5f, 0xe272cd1c,
-  0x7c894bde, 0xe26cb01b, 0x7c87d810, 0xe266932c, 0x7c8663f4, 0xe260764f,
-    0x7c84ef8c, 0xe25a5984,
-  0x7c837ad8, 0xe2543ccc, 0x7c8205d6, 0xe24e2026, 0x7c809088, 0xe2480393,
-    0x7c7f1aed, 0xe241e711,
-  0x7c7da505, 0xe23bcaa2, 0x7c7c2ed0, 0xe235ae46, 0x7c7ab84e, 0xe22f91fc,
-    0x7c794180, 0xe22975c4,
-  0x7c77ca65, 0xe223599e, 0x7c7652fd, 0xe21d3d8b, 0x7c74db48, 0xe217218b,
-    0x7c736347, 0xe211059d,
-  0x7c71eaf9, 0xe20ae9c1, 0x7c70725e, 0xe204cdf8, 0x7c6ef976, 0xe1feb241,
-    0x7c6d8041, 0xe1f8969d,
-  0x7c6c06c0, 0xe1f27b0b, 0x7c6a8cf2, 0xe1ec5f8c, 0x7c6912d7, 0xe1e64420,
-    0x7c679870, 0xe1e028c6,
-  0x7c661dbc, 0xe1da0d7e, 0x7c64a2bb, 0xe1d3f24a, 0x7c63276d, 0xe1cdd727,
-    0x7c61abd3, 0xe1c7bc18,
-  0x7c602fec, 0xe1c1a11b, 0x7c5eb3b8, 0xe1bb8631, 0x7c5d3737, 0xe1b56b59,
-    0x7c5bba6a, 0xe1af5094,
-  0x7c5a3d50, 0xe1a935e2, 0x7c58bfe9, 0xe1a31b42, 0x7c574236, 0xe19d00b6,
-    0x7c55c436, 0xe196e63c,
-  0x7c5445e9, 0xe190cbd4, 0x7c52c74f, 0xe18ab180, 0x7c514869, 0xe184973e,
-    0x7c4fc936, 0xe17e7d0f,
-  0x7c4e49b7, 0xe17862f3, 0x7c4cc9ea, 0xe17248ea, 0x7c4b49d2, 0xe16c2ef4,
-    0x7c49c96c, 0xe1661510,
-  0x7c4848ba, 0xe15ffb3f, 0x7c46c7bb, 0xe159e182, 0x7c45466f, 0xe153c7d7,
-    0x7c43c4d7, 0xe14dae3f,
-  0x7c4242f2, 0xe14794ba, 0x7c40c0c1, 0xe1417b48, 0x7c3f3e42, 0xe13b61e9,
-    0x7c3dbb78, 0xe135489d,
-  0x7c3c3860, 0xe12f2f63, 0x7c3ab4fc, 0xe129163d, 0x7c39314b, 0xe122fd2a,
-    0x7c37ad4e, 0xe11ce42a,
-  0x7c362904, 0xe116cb3d, 0x7c34a46d, 0xe110b263, 0x7c331f8a, 0xe10a999c,
-    0x7c319a5a, 0xe10480e9,
-  0x7c3014de, 0xe0fe6848, 0x7c2e8f15, 0xe0f84fbb, 0x7c2d08ff, 0xe0f23740,
-    0x7c2b829d, 0xe0ec1ed9,
-  0x7c29fbee, 0xe0e60685, 0x7c2874f3, 0xe0dfee44, 0x7c26edab, 0xe0d9d616,
-    0x7c256616, 0xe0d3bdfc,
-  0x7c23de35, 0xe0cda5f5, 0x7c225607, 0xe0c78e01, 0x7c20cd8d, 0xe0c17620,
-    0x7c1f44c6, 0xe0bb5e53,
-  0x7c1dbbb3, 0xe0b54698, 0x7c1c3253, 0xe0af2ef2, 0x7c1aa8a6, 0xe0a9175e,
-    0x7c191ead, 0xe0a2ffde,
-  0x7c179467, 0xe09ce871, 0x7c1609d5, 0xe096d117, 0x7c147ef6, 0xe090b9d1,
-    0x7c12f3cb, 0xe08aa29f,
-  0x7c116853, 0xe0848b7f, 0x7c0fdc8f, 0xe07e7473, 0x7c0e507e, 0xe0785d7b,
-    0x7c0cc421, 0xe0724696,
-  0x7c0b3777, 0xe06c2fc4, 0x7c09aa80, 0xe0661906, 0x7c081d3d, 0xe060025c,
-    0x7c068fae, 0xe059ebc5,
-  0x7c0501d2, 0xe053d541, 0x7c0373a9, 0xe04dbed1, 0x7c01e534, 0xe047a875,
-    0x7c005673, 0xe041922c,
-  0x7bfec765, 0xe03b7bf6, 0x7bfd380a, 0xe03565d5, 0x7bfba863, 0xe02f4fc6,
-    0x7bfa1870, 0xe02939cc,
-  0x7bf88830, 0xe02323e5, 0x7bf6f7a4, 0xe01d0e12, 0x7bf566cb, 0xe016f852,
-    0x7bf3d5a6, 0xe010e2a7,
-  0x7bf24434, 0xe00acd0e, 0x7bf0b276, 0xe004b78a, 0x7bef206b, 0xdffea219,
-    0x7bed8e14, 0xdff88cbc,
-  0x7bebfb70, 0xdff27773, 0x7bea6880, 0xdfec623e, 0x7be8d544, 0xdfe64d1c,
-    0x7be741bb, 0xdfe0380e,
-  0x7be5ade6, 0xdfda2314, 0x7be419c4, 0xdfd40e2e, 0x7be28556, 0xdfcdf95c,
-    0x7be0f09b, 0xdfc7e49d,
-  0x7bdf5b94, 0xdfc1cff3, 0x7bddc641, 0xdfbbbb5c, 0x7bdc30a1, 0xdfb5a6d9,
-    0x7bda9ab5, 0xdfaf926a,
-  0x7bd9047c, 0xdfa97e0f, 0x7bd76df7, 0xdfa369c8, 0x7bd5d726, 0xdf9d5595,
-    0x7bd44008, 0xdf974176,
-  0x7bd2a89e, 0xdf912d6b, 0x7bd110e8, 0xdf8b1974, 0x7bcf78e5, 0xdf850591,
-    0x7bcde095, 0xdf7ef1c2,
-  0x7bcc47fa, 0xdf78de07, 0x7bcaaf12, 0xdf72ca60, 0x7bc915dd, 0xdf6cb6cd,
-    0x7bc77c5d, 0xdf66a34e,
-  0x7bc5e290, 0xdf608fe4, 0x7bc44876, 0xdf5a7c8d, 0x7bc2ae10, 0xdf54694b,
-    0x7bc1135e, 0xdf4e561c,
-  0x7bbf7860, 0xdf484302, 0x7bbddd15, 0xdf422ffd, 0x7bbc417e, 0xdf3c1d0b,
-    0x7bbaa59a, 0xdf360a2d,
-  0x7bb9096b, 0xdf2ff764, 0x7bb76cef, 0xdf29e4af, 0x7bb5d026, 0xdf23d20e,
-    0x7bb43311, 0xdf1dbf82,
-  0x7bb295b0, 0xdf17ad0a, 0x7bb0f803, 0xdf119aa6, 0x7baf5a09, 0xdf0b8856,
-    0x7badbbc3, 0xdf05761b,
-  0x7bac1d31, 0xdeff63f4, 0x7baa7e53, 0xdef951e2, 0x7ba8df28, 0xdef33fe3,
-    0x7ba73fb1, 0xdeed2dfa,
-  0x7ba59fee, 0xdee71c24, 0x7ba3ffde, 0xdee10a63, 0x7ba25f82, 0xdedaf8b7,
-    0x7ba0beda, 0xded4e71f,
-  0x7b9f1de6, 0xdeced59b, 0x7b9d7ca5, 0xdec8c42c, 0x7b9bdb18, 0xdec2b2d1,
-    0x7b9a393f, 0xdebca18b,
-  0x7b989719, 0xdeb69059, 0x7b96f4a8, 0xdeb07f3c, 0x7b9551ea, 0xdeaa6e34,
-    0x7b93aee0, 0xdea45d40,
-  0x7b920b89, 0xde9e4c60, 0x7b9067e7, 0xde983b95, 0x7b8ec3f8, 0xde922adf,
-    0x7b8d1fbd, 0xde8c1a3e,
-  0x7b8b7b36, 0xde8609b1, 0x7b89d662, 0xde7ff938, 0x7b883143, 0xde79e8d5,
-    0x7b868bd7, 0xde73d886,
-  0x7b84e61f, 0xde6dc84b, 0x7b83401b, 0xde67b826, 0x7b8199ca, 0xde61a815,
-    0x7b7ff32e, 0xde5b9819,
-  0x7b7e4c45, 0xde558831, 0x7b7ca510, 0xde4f785f, 0x7b7afd8f, 0xde4968a1,
-    0x7b7955c2, 0xde4358f8,
-  0x7b77ada8, 0xde3d4964, 0x7b760542, 0xde3739e4, 0x7b745c91, 0xde312a7a,
-    0x7b72b393, 0xde2b1b24,
-  0x7b710a49, 0xde250be3, 0x7b6f60b2, 0xde1efcb7, 0x7b6db6d0, 0xde18eda0,
-    0x7b6c0ca2, 0xde12de9e,
-  0x7b6a6227, 0xde0ccfb1, 0x7b68b760, 0xde06c0d9, 0x7b670c4d, 0xde00b216,
-    0x7b6560ee, 0xddfaa367,
-  0x7b63b543, 0xddf494ce, 0x7b62094c, 0xddee8649, 0x7b605d09, 0xdde877da,
-    0x7b5eb079, 0xdde26980,
-  0x7b5d039e, 0xdddc5b3b, 0x7b5b5676, 0xddd64d0a, 0x7b59a902, 0xddd03eef,
-    0x7b57fb42, 0xddca30e9,
-  0x7b564d36, 0xddc422f8, 0x7b549ede, 0xddbe151d, 0x7b52f03a, 0xddb80756,
-    0x7b51414a, 0xddb1f9a4,
-  0x7b4f920e, 0xddabec08, 0x7b4de286, 0xdda5de81, 0x7b4c32b1, 0xdd9fd10f,
-    0x7b4a8291, 0xdd99c3b2,
-  0x7b48d225, 0xdd93b66a, 0x7b47216c, 0xdd8da938, 0x7b457068, 0xdd879c1b,
-    0x7b43bf17, 0xdd818f13,
-  0x7b420d7a, 0xdd7b8220, 0x7b405b92, 0xdd757543, 0x7b3ea95d, 0xdd6f687b,
-    0x7b3cf6dc, 0xdd695bc9,
-  0x7b3b4410, 0xdd634f2b, 0x7b3990f7, 0xdd5d42a3, 0x7b37dd92, 0xdd573631,
-    0x7b3629e1, 0xdd5129d4,
-  0x7b3475e5, 0xdd4b1d8c, 0x7b32c19c, 0xdd451159, 0x7b310d07, 0xdd3f053c,
-    0x7b2f5826, 0xdd38f935,
-  0x7b2da2fa, 0xdd32ed43, 0x7b2bed81, 0xdd2ce166, 0x7b2a37bc, 0xdd26d59f,
-    0x7b2881ac, 0xdd20c9ed,
-  0x7b26cb4f, 0xdd1abe51, 0x7b2514a6, 0xdd14b2ca, 0x7b235db2, 0xdd0ea759,
-    0x7b21a671, 0xdd089bfe,
-  0x7b1feee5, 0xdd0290b8, 0x7b1e370d, 0xdcfc8588, 0x7b1c7ee8, 0xdcf67a6d,
-    0x7b1ac678, 0xdcf06f68,
-  0x7b190dbc, 0xdcea6478, 0x7b1754b3, 0xdce4599e, 0x7b159b5f, 0xdcde4eda,
-    0x7b13e1bf, 0xdcd8442b,
-  0x7b1227d3, 0xdcd23993, 0x7b106d9b, 0xdccc2f0f, 0x7b0eb318, 0xdcc624a2,
-    0x7b0cf848, 0xdcc01a4a,
-  0x7b0b3d2c, 0xdcba1008, 0x7b0981c5, 0xdcb405dc, 0x7b07c612, 0xdcadfbc5,
-    0x7b060a12, 0xdca7f1c5,
-  0x7b044dc7, 0xdca1e7da, 0x7b029130, 0xdc9bde05, 0x7b00d44d, 0xdc95d446,
-    0x7aff171e, 0xdc8fca9c,
-  0x7afd59a4, 0xdc89c109, 0x7afb9bdd, 0xdc83b78b, 0x7af9ddcb, 0xdc7dae23,
-    0x7af81f6c, 0xdc77a4d2,
-  0x7af660c2, 0xdc719b96, 0x7af4a1cc, 0xdc6b9270, 0x7af2e28b, 0xdc658960,
-    0x7af122fd, 0xdc5f8066,
-  0x7aef6323, 0xdc597781, 0x7aeda2fe, 0xdc536eb3, 0x7aebe28d, 0xdc4d65fb,
-    0x7aea21d0, 0xdc475d59,
-  0x7ae860c7, 0xdc4154cd, 0x7ae69f73, 0xdc3b4c57, 0x7ae4ddd2, 0xdc3543f7,
-    0x7ae31be6, 0xdc2f3bad,
-  0x7ae159ae, 0xdc293379, 0x7adf972a, 0xdc232b5c, 0x7addd45b, 0xdc1d2354,
-    0x7adc113f, 0xdc171b63,
-  0x7ada4dd8, 0xdc111388, 0x7ad88a25, 0xdc0b0bc2, 0x7ad6c626, 0xdc050414,
-    0x7ad501dc, 0xdbfefc7b,
-  0x7ad33d45, 0xdbf8f4f8, 0x7ad17863, 0xdbf2ed8c, 0x7acfb336, 0xdbece636,
-    0x7acdedbc, 0xdbe6def6,
-  0x7acc27f7, 0xdbe0d7cd, 0x7aca61e6, 0xdbdad0b9, 0x7ac89b89, 0xdbd4c9bc,
-    0x7ac6d4e0, 0xdbcec2d6,
-  0x7ac50dec, 0xdbc8bc06, 0x7ac346ac, 0xdbc2b54c, 0x7ac17f20, 0xdbbcaea8,
-    0x7abfb749, 0xdbb6a81b,
-  0x7abdef25, 0xdbb0a1a4, 0x7abc26b7, 0xdbaa9b43, 0x7aba5dfc, 0xdba494f9,
-    0x7ab894f6, 0xdb9e8ec6,
-  0x7ab6cba4, 0xdb9888a8, 0x7ab50206, 0xdb9282a2, 0x7ab3381d, 0xdb8c7cb1,
-    0x7ab16de7, 0xdb8676d8,
-  0x7aafa367, 0xdb807114, 0x7aadd89a, 0xdb7a6b68, 0x7aac0d82, 0xdb7465d1,
-    0x7aaa421e, 0xdb6e6052,
-  0x7aa8766f, 0xdb685ae9, 0x7aa6aa74, 0xdb625596, 0x7aa4de2d, 0xdb5c505a,
-    0x7aa3119a, 0xdb564b35,
-  0x7aa144bc, 0xdb504626, 0x7a9f7793, 0xdb4a412e, 0x7a9daa1d, 0xdb443c4c,
-    0x7a9bdc5c, 0xdb3e3781,
-  0x7a9a0e50, 0xdb3832cd, 0x7a983ff7, 0xdb322e30, 0x7a967153, 0xdb2c29a9,
-    0x7a94a264, 0xdb262539,
-  0x7a92d329, 0xdb2020e0, 0x7a9103a2, 0xdb1a1c9d, 0x7a8f33d0, 0xdb141871,
-    0x7a8d63b2, 0xdb0e145c,
-  0x7a8b9348, 0xdb08105e, 0x7a89c293, 0xdb020c77, 0x7a87f192, 0xdafc08a6,
-    0x7a862046, 0xdaf604ec,
-  0x7a844eae, 0xdaf00149, 0x7a827ccb, 0xdae9fdbd, 0x7a80aa9c, 0xdae3fa48,
-    0x7a7ed821, 0xdaddf6ea,
-  0x7a7d055b, 0xdad7f3a2, 0x7a7b3249, 0xdad1f072, 0x7a795eec, 0xdacbed58,
-    0x7a778b43, 0xdac5ea56,
-  0x7a75b74f, 0xdabfe76a, 0x7a73e30f, 0xdab9e495, 0x7a720e84, 0xdab3e1d8,
-    0x7a7039ad, 0xdaaddf31,
-  0x7a6e648a, 0xdaa7dca1, 0x7a6c8f1c, 0xdaa1da29, 0x7a6ab963, 0xda9bd7c7,
-    0x7a68e35e, 0xda95d57d,
-  0x7a670d0d, 0xda8fd349, 0x7a653671, 0xda89d12d, 0x7a635f8a, 0xda83cf28,
-    0x7a618857, 0xda7dcd3a,
-  0x7a5fb0d8, 0xda77cb63, 0x7a5dd90e, 0xda71c9a3, 0x7a5c00f9, 0xda6bc7fa,
-    0x7a5a2898, 0xda65c669,
-  0x7a584feb, 0xda5fc4ef, 0x7a5676f3, 0xda59c38c, 0x7a549db0, 0xda53c240,
-    0x7a52c421, 0xda4dc10b,
-  0x7a50ea47, 0xda47bfee, 0x7a4f1021, 0xda41bee8, 0x7a4d35b0, 0xda3bbdf9,
-    0x7a4b5af3, 0xda35bd22,
-  0x7a497feb, 0xda2fbc61, 0x7a47a498, 0xda29bbb9, 0x7a45c8f9, 0xda23bb27,
-    0x7a43ed0e, 0xda1dbaad,
-  0x7a4210d8, 0xda17ba4a, 0x7a403457, 0xda11b9ff, 0x7a3e578b, 0xda0bb9cb,
-    0x7a3c7a73, 0xda05b9ae,
-  0x7a3a9d0f, 0xd9ffb9a9, 0x7a38bf60, 0xd9f9b9bb, 0x7a36e166, 0xd9f3b9e5,
-    0x7a350321, 0xd9edba26,
-  0x7a332490, 0xd9e7ba7f, 0x7a3145b3, 0xd9e1baef, 0x7a2f668c, 0xd9dbbb77,
-    0x7a2d8719, 0xd9d5bc16,
-  0x7a2ba75a, 0xd9cfbccd, 0x7a29c750, 0xd9c9bd9b, 0x7a27e6fb, 0xd9c3be81,
-    0x7a26065b, 0xd9bdbf7e,
-  0x7a24256f, 0xd9b7c094, 0x7a224437, 0xd9b1c1c0, 0x7a2062b5, 0xd9abc305,
-    0x7a1e80e7, 0xd9a5c461,
-  0x7a1c9ece, 0xd99fc5d4, 0x7a1abc69, 0xd999c75f, 0x7a18d9b9, 0xd993c902,
-    0x7a16f6be, 0xd98dcabd,
-  0x7a151378, 0xd987cc90, 0x7a132fe6, 0xd981ce7a, 0x7a114c09, 0xd97bd07c,
-    0x7a0f67e0, 0xd975d295,
-  0x7a0d836d, 0xd96fd4c7, 0x7a0b9eae, 0xd969d710, 0x7a09b9a4, 0xd963d971,
-    0x7a07d44e, 0xd95ddbea,
-  0x7a05eead, 0xd957de7a, 0x7a0408c1, 0xd951e123, 0x7a02228a, 0xd94be3e3,
-    0x7a003c07, 0xd945e6bb,
-  0x79fe5539, 0xd93fe9ab, 0x79fc6e20, 0xd939ecb3, 0x79fa86bc, 0xd933efd3,
-    0x79f89f0c, 0xd92df30b,
-  0x79f6b711, 0xd927f65b, 0x79f4cecb, 0xd921f9c3, 0x79f2e63a, 0xd91bfd43,
-    0x79f0fd5d, 0xd91600da,
-  0x79ef1436, 0xd910048a, 0x79ed2ac3, 0xd90a0852, 0x79eb4105, 0xd9040c32,
-    0x79e956fb, 0xd8fe1029,
-  0x79e76ca7, 0xd8f81439, 0x79e58207, 0xd8f21861, 0x79e3971c, 0xd8ec1ca1,
-    0x79e1abe6, 0xd8e620fa,
-  0x79dfc064, 0xd8e0256a, 0x79ddd498, 0xd8da29f2, 0x79dbe880, 0xd8d42e93,
-    0x79d9fc1d, 0xd8ce334c,
-  0x79d80f6f, 0xd8c8381d, 0x79d62276, 0xd8c23d06, 0x79d43532, 0xd8bc4207,
-    0x79d247a2, 0xd8b64720,
-  0x79d059c8, 0xd8b04c52, 0x79ce6ba2, 0xd8aa519c, 0x79cc7d31, 0xd8a456ff,
-    0x79ca8e75, 0xd89e5c79,
-  0x79c89f6e, 0xd898620c, 0x79c6b01b, 0xd89267b7, 0x79c4c07e, 0xd88c6d7b,
-    0x79c2d095, 0xd8867356,
-  0x79c0e062, 0xd880794b, 0x79beefe3, 0xd87a7f57, 0x79bcff19, 0xd874857c,
-    0x79bb0e04, 0xd86e8bb9,
-  0x79b91ca4, 0xd868920f, 0x79b72af9, 0xd862987d, 0x79b53903, 0xd85c9f04,
-    0x79b346c2, 0xd856a5a3,
-  0x79b15435, 0xd850ac5a, 0x79af615e, 0xd84ab32a, 0x79ad6e3c, 0xd844ba13,
-    0x79ab7ace, 0xd83ec114,
-  0x79a98715, 0xd838c82d, 0x79a79312, 0xd832cf5f, 0x79a59ec3, 0xd82cd6aa,
-    0x79a3aa29, 0xd826de0d,
-  0x79a1b545, 0xd820e589, 0x799fc015, 0xd81aed1d, 0x799dca9a, 0xd814f4ca,
-    0x799bd4d4, 0xd80efc8f,
-  0x7999dec4, 0xd809046e, 0x7997e868, 0xd8030c64, 0x7995f1c1, 0xd7fd1474,
-    0x7993facf, 0xd7f71c9c,
-  0x79920392, 0xd7f124dd, 0x79900c0a, 0xd7eb2d37, 0x798e1438, 0xd7e535a9,
-    0x798c1c1a, 0xd7df3e34,
-  0x798a23b1, 0xd7d946d8, 0x79882afd, 0xd7d34f94, 0x798631ff, 0xd7cd586a,
-    0x798438b5, 0xd7c76158,
-  0x79823f20, 0xd7c16a5f, 0x79804541, 0xd7bb737f, 0x797e4b16, 0xd7b57cb7,
-    0x797c50a1, 0xd7af8609,
-  0x797a55e0, 0xd7a98f73, 0x79785ad5, 0xd7a398f6, 0x79765f7f, 0xd79da293,
-    0x797463de, 0xd797ac48,
-  0x797267f2, 0xd791b616, 0x79706bbb, 0xd78bbffc, 0x796e6f39, 0xd785c9fc,
-    0x796c726c, 0xd77fd415,
-  0x796a7554, 0xd779de47, 0x796877f1, 0xd773e892, 0x79667a44, 0xd76df2f6,
-    0x79647c4c, 0xd767fd72,
-  0x79627e08, 0xd7620808, 0x79607f7a, 0xd75c12b7, 0x795e80a1, 0xd7561d7f,
-    0x795c817d, 0xd7502860,
-  0x795a820e, 0xd74a335b, 0x79588255, 0xd7443e6e, 0x79568250, 0xd73e499a,
-    0x79548201, 0xd73854e0,
-  0x79528167, 0xd732603f, 0x79508082, 0xd72c6bb6, 0x794e7f52, 0xd7267748,
-    0x794c7dd7, 0xd72082f2,
-  0x794a7c12, 0xd71a8eb5, 0x79487a01, 0xd7149a92, 0x794677a6, 0xd70ea688,
-    0x79447500, 0xd708b297,
-  0x79427210, 0xd702bec0, 0x79406ed4, 0xd6fccb01, 0x793e6b4e, 0xd6f6d75d,
-    0x793c677d, 0xd6f0e3d1,
-  0x793a6361, 0xd6eaf05f, 0x79385efa, 0xd6e4fd06, 0x79365a49, 0xd6df09c6,
-    0x7934554d, 0xd6d916a0,
-  0x79325006, 0xd6d32393, 0x79304a74, 0xd6cd30a0, 0x792e4497, 0xd6c73dc6,
-    0x792c3e70, 0xd6c14b05,
-  0x792a37fe, 0xd6bb585e, 0x79283141, 0xd6b565d0, 0x79262a3a, 0xd6af735c,
-    0x792422e8, 0xd6a98101,
-  0x79221b4b, 0xd6a38ec0, 0x79201363, 0xd69d9c98, 0x791e0b31, 0xd697aa8a,
-    0x791c02b4, 0xd691b895,
-  0x7919f9ec, 0xd68bc6ba, 0x7917f0d9, 0xd685d4f9, 0x7915e77c, 0xd67fe351,
-    0x7913ddd4, 0xd679f1c2,
-  0x7911d3e2, 0xd674004e, 0x790fc9a4, 0xd66e0ef2, 0x790dbf1d, 0xd6681db1,
-    0x790bb44a, 0xd6622c89,
-  0x7909a92d, 0xd65c3b7b, 0x79079dc5, 0xd6564a87, 0x79059212, 0xd65059ac,
-    0x79038615, 0xd64a68eb,
-  0x790179cd, 0xd6447844, 0x78ff6d3b, 0xd63e87b6, 0x78fd605d, 0xd6389742,
-    0x78fb5336, 0xd632a6e8,
-  0x78f945c3, 0xd62cb6a8, 0x78f73806, 0xd626c681, 0x78f529fe, 0xd620d675,
-    0x78f31bac, 0xd61ae682,
-  0x78f10d0f, 0xd614f6a9, 0x78eefe28, 0xd60f06ea, 0x78eceef6, 0xd6091745,
-    0x78eadf79, 0xd60327b9,
-  0x78e8cfb2, 0xd5fd3848, 0x78e6bfa0, 0xd5f748f0, 0x78e4af44, 0xd5f159b3,
-    0x78e29e9d, 0xd5eb6a8f,
-  0x78e08dab, 0xd5e57b85, 0x78de7c6f, 0xd5df8c96, 0x78dc6ae8, 0xd5d99dc0,
-    0x78da5917, 0xd5d3af04,
-  0x78d846fb, 0xd5cdc062, 0x78d63495, 0xd5c7d1db, 0x78d421e4, 0xd5c1e36d,
-    0x78d20ee9, 0xd5bbf519,
-  0x78cffba3, 0xd5b606e0, 0x78cde812, 0xd5b018c0, 0x78cbd437, 0xd5aa2abb,
-    0x78c9c012, 0xd5a43cd0,
-  0x78c7aba2, 0xd59e4eff, 0x78c596e7, 0xd5986148, 0x78c381e2, 0xd59273ab,
-    0x78c16c93, 0xd58c8628,
-  0x78bf56f9, 0xd58698c0, 0x78bd4114, 0xd580ab72, 0x78bb2ae5, 0xd57abe3d,
-    0x78b9146c, 0xd574d124,
-  0x78b6fda8, 0xd56ee424, 0x78b4e69a, 0xd568f73f, 0x78b2cf41, 0xd5630a74,
-    0x78b0b79e, 0xd55d1dc3,
-  0x78ae9fb0, 0xd557312d, 0x78ac8778, 0xd55144b0, 0x78aa6ef5, 0xd54b584f,
-    0x78a85628, 0xd5456c07,
-  0x78a63d11, 0xd53f7fda, 0x78a423af, 0xd53993c7, 0x78a20a03, 0xd533a7cf,
-    0x789ff00c, 0xd52dbbf1,
-  0x789dd5cb, 0xd527d02e, 0x789bbb3f, 0xd521e484, 0x7899a06a, 0xd51bf8f6,
-    0x78978549, 0xd5160d82,
-  0x789569df, 0xd5102228, 0x78934e2a, 0xd50a36e9, 0x7891322a, 0xd5044bc4,
-    0x788f15e0, 0xd4fe60ba,
-  0x788cf94c, 0xd4f875ca, 0x788adc6e, 0xd4f28af5, 0x7888bf45, 0xd4eca03a,
-    0x7886a1d1, 0xd4e6b59a,
-  0x78848414, 0xd4e0cb15, 0x7882660c, 0xd4dae0aa, 0x788047ba, 0xd4d4f65a,
-    0x787e291d, 0xd4cf0c24,
-  0x787c0a36, 0xd4c92209, 0x7879eb05, 0xd4c33809, 0x7877cb89, 0xd4bd4e23,
-    0x7875abc3, 0xd4b76458,
-  0x78738bb3, 0xd4b17aa8, 0x78716b59, 0xd4ab9112, 0x786f4ab4, 0xd4a5a798,
-    0x786d29c5, 0xd49fbe37,
-  0x786b088c, 0xd499d4f2, 0x7868e708, 0xd493ebc8, 0x7866c53a, 0xd48e02b8,
-    0x7864a322, 0xd48819c3,
-  0x786280bf, 0xd48230e9, 0x78605e13, 0xd47c4829, 0x785e3b1c, 0xd4765f85,
-    0x785c17db, 0xd47076fb,
-  0x7859f44f, 0xd46a8e8d, 0x7857d079, 0xd464a639, 0x7855ac5a, 0xd45ebe00,
-    0x785387ef, 0xd458d5e2,
-  0x7851633b, 0xd452eddf, 0x784f3e3c, 0xd44d05f6, 0x784d18f4, 0xd4471e29,
-    0x784af361, 0xd4413677,
-  0x7848cd83, 0xd43b4ee0, 0x7846a75c, 0xd4356763, 0x784480ea, 0xd42f8002,
-    0x78425a2f, 0xd42998bc,
-  0x78403329, 0xd423b191, 0x783e0bd9, 0xd41dca81, 0x783be43e, 0xd417e38c,
-    0x7839bc5a, 0xd411fcb2,
-  0x7837942b, 0xd40c15f3, 0x78356bb2, 0xd4062f4f, 0x783342ef, 0xd40048c6,
-    0x783119e2, 0xd3fa6259,
-  0x782ef08b, 0xd3f47c06, 0x782cc6ea, 0xd3ee95cf, 0x782a9cfe, 0xd3e8afb3,
-    0x782872c8, 0xd3e2c9b2,
-  0x78264849, 0xd3dce3cd, 0x78241d7f, 0xd3d6fe03, 0x7821f26b, 0xd3d11853,
-    0x781fc70d, 0xd3cb32c0,
-  0x781d9b65, 0xd3c54d47, 0x781b6f72, 0xd3bf67ea, 0x78194336, 0xd3b982a8,
-    0x781716b0, 0xd3b39d81,
-  0x7814e9df, 0xd3adb876, 0x7812bcc4, 0xd3a7d385, 0x78108f60, 0xd3a1eeb1,
-    0x780e61b1, 0xd39c09f7,
-  0x780c33b8, 0xd396255a, 0x780a0575, 0xd39040d7, 0x7807d6e9, 0xd38a5c70,
-    0x7805a812, 0xd3847824,
-  0x780378f1, 0xd37e93f4, 0x78014986, 0xd378afdf, 0x77ff19d1, 0xd372cbe6,
-    0x77fce9d2, 0xd36ce808,
-  0x77fab989, 0xd3670446, 0x77f888f6, 0xd361209f, 0x77f65819, 0xd35b3d13,
-    0x77f426f2, 0xd35559a4,
-  0x77f1f581, 0xd34f764f, 0x77efc3c5, 0xd3499317, 0x77ed91c0, 0xd343affa,
-    0x77eb5f71, 0xd33dccf8,
-  0x77e92cd9, 0xd337ea12, 0x77e6f9f6, 0xd3320748, 0x77e4c6c9, 0xd32c2499,
-    0x77e29352, 0xd3264206,
-  0x77e05f91, 0xd3205f8f, 0x77de2b86, 0xd31a7d33, 0x77dbf732, 0xd3149af3,
-    0x77d9c293, 0xd30eb8cf,
-  0x77d78daa, 0xd308d6c7, 0x77d55878, 0xd302f4da, 0x77d322fc, 0xd2fd1309,
-    0x77d0ed35, 0xd2f73154,
-  0x77ceb725, 0xd2f14fba, 0x77cc80cb, 0xd2eb6e3c, 0x77ca4a27, 0xd2e58cdb,
-    0x77c81339, 0xd2dfab95,
-  0x77c5dc01, 0xd2d9ca6a, 0x77c3a47f, 0xd2d3e95c, 0x77c16cb4, 0xd2ce0869,
-    0x77bf349f, 0xd2c82793,
-  0x77bcfc3f, 0xd2c246d8, 0x77bac396, 0xd2bc6639, 0x77b88aa3, 0xd2b685b6,
-    0x77b65166, 0xd2b0a54f,
-  0x77b417df, 0xd2aac504, 0x77b1de0f, 0xd2a4e4d5, 0x77afa3f5, 0xd29f04c2,
-    0x77ad6990, 0xd29924cb,
-  0x77ab2ee2, 0xd29344f0, 0x77a8f3ea, 0xd28d6531, 0x77a6b8a9, 0xd287858e,
-    0x77a47d1d, 0xd281a607,
-  0x77a24148, 0xd27bc69c, 0x77a00529, 0xd275e74d, 0x779dc8c0, 0xd270081b,
-    0x779b8c0e, 0xd26a2904,
-  0x77994f11, 0xd2644a0a, 0x779711cb, 0xd25e6b2b, 0x7794d43b, 0xd2588c69,
-    0x77929661, 0xd252adc3,
-  0x7790583e, 0xd24ccf39, 0x778e19d0, 0xd246f0cb, 0x778bdb19, 0xd241127a,
-    0x77899c19, 0xd23b3444,
-  0x77875cce, 0xd235562b, 0x77851d3a, 0xd22f782f, 0x7782dd5c, 0xd2299a4e,
-    0x77809d35, 0xd223bc8a,
-  0x777e5cc3, 0xd21ddee2, 0x777c1c08, 0xd2180156, 0x7779db03, 0xd21223e7,
-    0x777799b5, 0xd20c4694,
-  0x7775581d, 0xd206695d, 0x7773163b, 0xd2008c43, 0x7770d40f, 0xd1faaf45,
-    0x776e919a, 0xd1f4d263,
-  0x776c4edb, 0xd1eef59e, 0x776a0bd3, 0xd1e918f5, 0x7767c880, 0xd1e33c69,
-    0x776584e5, 0xd1dd5ff9,
-  0x776340ff, 0xd1d783a6, 0x7760fcd0, 0xd1d1a76f, 0x775eb857, 0xd1cbcb54,
-    0x775c7395, 0xd1c5ef56,
-  0x775a2e89, 0xd1c01375, 0x7757e933, 0xd1ba37b0, 0x7755a394, 0xd1b45c08,
-    0x77535dab, 0xd1ae807c,
-  0x77511778, 0xd1a8a50d, 0x774ed0fc, 0xd1a2c9ba, 0x774c8a36, 0xd19cee84,
-    0x774a4327, 0xd197136b,
-  0x7747fbce, 0xd191386e, 0x7745b42c, 0xd18b5d8e, 0x77436c40, 0xd18582ca,
-    0x7741240a, 0xd17fa823,
-  0x773edb8b, 0xd179cd99, 0x773c92c2, 0xd173f32c, 0x773a49b0, 0xd16e18db,
-    0x77380054, 0xd1683ea7,
-  0x7735b6af, 0xd1626490, 0x77336cc0, 0xd15c8a95, 0x77312287, 0xd156b0b7,
-    0x772ed805, 0xd150d6f6,
-  0x772c8d3a, 0xd14afd52, 0x772a4225, 0xd14523cb, 0x7727f6c6, 0xd13f4a60,
-    0x7725ab1f, 0xd1397113,
-  0x77235f2d, 0xd13397e2, 0x772112f2, 0xd12dbece, 0x771ec66e, 0xd127e5d7,
-    0x771c79a0, 0xd1220cfc,
-  0x771a2c88, 0xd11c343f, 0x7717df27, 0xd1165b9f, 0x7715917d, 0xd110831b,
-    0x77134389, 0xd10aaab5,
-  0x7710f54c, 0xd104d26b, 0x770ea6c5, 0xd0fefa3f, 0x770c57f5, 0xd0f9222f,
-    0x770a08dc, 0xd0f34a3d,
-  0x7707b979, 0xd0ed7267, 0x770569cc, 0xd0e79aaf, 0x770319d6, 0xd0e1c313,
-    0x7700c997, 0xd0dbeb95,
-  0x76fe790e, 0xd0d61434, 0x76fc283c, 0xd0d03cf0, 0x76f9d721, 0xd0ca65c9,
-    0x76f785bc, 0xd0c48ebf,
-  0x76f5340e, 0xd0beb7d2, 0x76f2e216, 0xd0b8e102, 0x76f08fd5, 0xd0b30a50,
-    0x76ee3d4b, 0xd0ad33ba,
-  0x76ebea77, 0xd0a75d42, 0x76e9975a, 0xd0a186e7, 0x76e743f4, 0xd09bb0aa,
-    0x76e4f044, 0xd095da89,
-  0x76e29c4b, 0xd0900486, 0x76e04808, 0xd08a2ea0, 0x76ddf37c, 0xd08458d7,
-    0x76db9ea7, 0xd07e832c,
-  0x76d94989, 0xd078ad9e, 0x76d6f421, 0xd072d82d, 0x76d49e70, 0xd06d02da,
-    0x76d24876, 0xd0672da3,
-  0x76cff232, 0xd061588b, 0x76cd9ba5, 0xd05b838f, 0x76cb44cf, 0xd055aeb1,
-    0x76c8edb0, 0xd04fd9f1,
-  0x76c69647, 0xd04a054e, 0x76c43e95, 0xd04430c8, 0x76c1e699, 0xd03e5c60,
-    0x76bf8e55, 0xd0388815,
-  0x76bd35c7, 0xd032b3e7, 0x76badcf0, 0xd02cdfd8, 0x76b883d0, 0xd0270be5,
-    0x76b62a66, 0xd0213810,
-  0x76b3d0b4, 0xd01b6459, 0x76b176b8, 0xd01590bf, 0x76af1c72, 0xd00fbd43,
-    0x76acc1e4, 0xd009e9e4,
-  0x76aa670d, 0xd00416a3, 0x76a80bec, 0xcffe4380, 0x76a5b082, 0xcff8707a,
-    0x76a354cf, 0xcff29d92,
-  0x76a0f8d2, 0xcfeccac7, 0x769e9c8d, 0xcfe6f81a, 0x769c3ffe, 0xcfe1258b,
-    0x7699e326, 0xcfdb531a,
-  0x76978605, 0xcfd580c6, 0x7695289b, 0xcfcfae8f, 0x7692cae8, 0xcfc9dc77,
-    0x76906ceb, 0xcfc40a7c,
-  0x768e0ea6, 0xcfbe389f, 0x768bb017, 0xcfb866e0, 0x7689513f, 0xcfb2953f,
-    0x7686f21e, 0xcfacc3bb,
-  0x768492b4, 0xcfa6f255, 0x76823301, 0xcfa1210d, 0x767fd304, 0xcf9b4fe3,
-    0x767d72bf, 0xcf957ed7,
-  0x767b1231, 0xcf8fade9, 0x7678b159, 0xcf89dd18, 0x76765038, 0xcf840c65,
-    0x7673eecf, 0xcf7e3bd1,
-  0x76718d1c, 0xcf786b5a, 0x766f2b20, 0xcf729b01, 0x766cc8db, 0xcf6ccac6,
-    0x766a664d, 0xcf66faa9,
-  0x76680376, 0xcf612aaa, 0x7665a056, 0xcf5b5ac9, 0x76633ced, 0xcf558b06,
-    0x7660d93b, 0xcf4fbb61,
-  0x765e7540, 0xcf49ebda, 0x765c10fc, 0xcf441c71, 0x7659ac6f, 0xcf3e4d26,
-    0x76574798, 0xcf387dfa,
-  0x7654e279, 0xcf32aeeb, 0x76527d11, 0xcf2cdffa, 0x76501760, 0xcf271128,
-    0x764db166, 0xcf214274,
-  0x764b4b23, 0xcf1b73de, 0x7648e497, 0xcf15a566, 0x76467dc2, 0xcf0fd70c,
-    0x764416a4, 0xcf0a08d0,
-  0x7641af3d, 0xcf043ab3, 0x763f478d, 0xcefe6cb3, 0x763cdf94, 0xcef89ed2,
-    0x763a7752, 0xcef2d110,
-  0x76380ec8, 0xceed036b, 0x7635a5f4, 0xcee735e5, 0x76333cd8, 0xcee1687d,
-    0x7630d372, 0xcedb9b33,
-  0x762e69c4, 0xced5ce08, 0x762bffcd, 0xced000fb, 0x7629958c, 0xceca340c,
-    0x76272b03, 0xcec4673c,
-  0x7624c031, 0xcebe9a8a, 0x76225517, 0xceb8cdf7, 0x761fe9b3, 0xceb30181,
-    0x761d7e06, 0xcead352b,
-  0x761b1211, 0xcea768f2, 0x7618a5d3, 0xcea19cd8, 0x7616394c, 0xce9bd0dd,
-    0x7613cc7c, 0xce960500,
-  0x76115f63, 0xce903942, 0x760ef201, 0xce8a6da2, 0x760c8457, 0xce84a220,
-    0x760a1664, 0xce7ed6bd,
-  0x7607a828, 0xce790b79, 0x760539a3, 0xce734053, 0x7602cad5, 0xce6d754c,
-    0x76005bbf, 0xce67aa63,
-  0x75fdec60, 0xce61df99, 0x75fb7cb8, 0xce5c14ed, 0x75f90cc7, 0xce564a60,
-    0x75f69c8d, 0xce507ff2,
-  0x75f42c0b, 0xce4ab5a2, 0x75f1bb40, 0xce44eb71, 0x75ef4a2c, 0xce3f215f,
-    0x75ecd8cf, 0xce39576c,
-  0x75ea672a, 0xce338d97, 0x75e7f53c, 0xce2dc3e1, 0x75e58305, 0xce27fa49,
-    0x75e31086, 0xce2230d0,
-  0x75e09dbd, 0xce1c6777, 0x75de2aac, 0xce169e3b, 0x75dbb753, 0xce10d51f,
-    0x75d943b0, 0xce0b0c21,
-  0x75d6cfc5, 0xce054343, 0x75d45b92, 0xcdff7a83, 0x75d1e715, 0xcdf9b1e2,
-    0x75cf7250, 0xcdf3e95f,
-  0x75ccfd42, 0xcdee20fc, 0x75ca87ec, 0xcde858b8, 0x75c8124d, 0xcde29092,
-    0x75c59c65, 0xcddcc88b,
-  0x75c32634, 0xcdd700a4, 0x75c0afbb, 0xcdd138db, 0x75be38fa, 0xcdcb7131,
-    0x75bbc1ef, 0xcdc5a9a6,
-  0x75b94a9c, 0xcdbfe23a, 0x75b6d301, 0xcdba1aee, 0x75b45b1d, 0xcdb453c0,
-    0x75b1e2f0, 0xcdae8cb1,
-  0x75af6a7b, 0xcda8c5c1, 0x75acf1bd, 0xcda2fef0, 0x75aa78b6, 0xcd9d383f,
-    0x75a7ff67, 0xcd9771ac,
-  0x75a585cf, 0xcd91ab39, 0x75a30bef, 0xcd8be4e4, 0x75a091c6, 0xcd861eaf,
-    0x759e1755, 0xcd805899,
-  0x759b9c9b, 0xcd7a92a2, 0x75992198, 0xcd74ccca, 0x7596a64d, 0xcd6f0711,
-    0x75942ab9, 0xcd694178,
-  0x7591aedd, 0xcd637bfe, 0x758f32b9, 0xcd5db6a3, 0x758cb64c, 0xcd57f167,
-    0x758a3996, 0xcd522c4a,
-  0x7587bc98, 0xcd4c674d, 0x75853f51, 0xcd46a26f, 0x7582c1c2, 0xcd40ddb0,
-    0x758043ea, 0xcd3b1911,
-  0x757dc5ca, 0xcd355491, 0x757b4762, 0xcd2f9030, 0x7578c8b0, 0xcd29cbee,
-    0x757649b7, 0xcd2407cc,
-  0x7573ca75, 0xcd1e43ca, 0x75714aea, 0xcd187fe6, 0x756ecb18, 0xcd12bc22,
-    0x756c4afc, 0xcd0cf87e,
-  0x7569ca99, 0xcd0734f9, 0x756749ec, 0xcd017193, 0x7564c8f8, 0xccfbae4d,
-    0x756247bb, 0xccf5eb26,
-  0x755fc635, 0xccf0281f, 0x755d4467, 0xccea6538, 0x755ac251, 0xcce4a26f,
-    0x75583ff3, 0xccdedfc7,
-  0x7555bd4c, 0xccd91d3d, 0x75533a5c, 0xccd35ad4, 0x7550b725, 0xcccd988a,
-    0x754e33a4, 0xccc7d65f,
-  0x754bafdc, 0xccc21455, 0x75492bcb, 0xccbc5269, 0x7546a772, 0xccb6909e,
-    0x754422d0, 0xccb0cef2,
-  0x75419de7, 0xccab0d65, 0x753f18b4, 0xcca54bf9, 0x753c933a, 0xcc9f8aac,
-    0x753a0d77, 0xcc99c97e,
-  0x7537876c, 0xcc940871, 0x75350118, 0xcc8e4783, 0x75327a7d, 0xcc8886b5,
-    0x752ff399, 0xcc82c607,
-  0x752d6c6c, 0xcc7d0578, 0x752ae4f8, 0xcc774509, 0x75285d3b, 0xcc7184ba,
-    0x7525d536, 0xcc6bc48b,
-  0x75234ce8, 0xcc66047b, 0x7520c453, 0xcc60448c, 0x751e3b75, 0xcc5a84bc,
-    0x751bb24f, 0xcc54c50c,
-  0x751928e0, 0xcc4f057c, 0x75169f2a, 0xcc49460c, 0x7514152b, 0xcc4386bc,
-    0x75118ae4, 0xcc3dc78b,
-  0x750f0054, 0xcc38087b, 0x750c757d, 0xcc32498a, 0x7509ea5d, 0xcc2c8aba,
-    0x75075ef5, 0xcc26cc09,
-  0x7504d345, 0xcc210d79, 0x7502474d, 0xcc1b4f08, 0x74ffbb0d, 0xcc1590b8,
-    0x74fd2e84, 0xcc0fd287,
-  0x74faa1b3, 0xcc0a1477, 0x74f8149a, 0xcc045686, 0x74f58739, 0xcbfe98b6,
-    0x74f2f990, 0xcbf8db05,
-  0x74f06b9e, 0xcbf31d75, 0x74eddd65, 0xcbed6005, 0x74eb4ee3, 0xcbe7a2b5,
-    0x74e8c01a, 0xcbe1e585,
-  0x74e63108, 0xcbdc2876, 0x74e3a1ae, 0xcbd66b86, 0x74e1120c, 0xcbd0aeb7,
-    0x74de8221, 0xcbcaf208,
-  0x74dbf1ef, 0xcbc53579, 0x74d96175, 0xcbbf790a, 0x74d6d0b2, 0xcbb9bcbb,
-    0x74d43fa8, 0xcbb4008d,
-  0x74d1ae55, 0xcbae447f, 0x74cf1cbb, 0xcba88891, 0x74cc8ad8, 0xcba2ccc4,
-    0x74c9f8ad, 0xcb9d1117,
-  0x74c7663a, 0xcb97558a, 0x74c4d380, 0xcb919a1d, 0x74c2407d, 0xcb8bded1,
-    0x74bfad32, 0xcb8623a5,
-  0x74bd199f, 0xcb80689a, 0x74ba85c4, 0xcb7aadaf, 0x74b7f1a1, 0xcb74f2e4,
-    0x74b55d36, 0xcb6f383a,
-  0x74b2c884, 0xcb697db0, 0x74b03389, 0xcb63c347, 0x74ad9e46, 0xcb5e08fe,
-    0x74ab08bb, 0xcb584ed6,
-  0x74a872e8, 0xcb5294ce, 0x74a5dccd, 0xcb4cdae6, 0x74a3466b, 0xcb47211f,
-    0x74a0afc0, 0xcb416779,
-  0x749e18cd, 0xcb3badf3, 0x749b8193, 0xcb35f48d, 0x7498ea11, 0xcb303b49,
-    0x74965246, 0xcb2a8224,
-  0x7493ba34, 0xcb24c921, 0x749121da, 0xcb1f103e, 0x748e8938, 0xcb19577b,
-    0x748bf04d, 0xcb139ed9,
-  0x7489571c, 0xcb0de658, 0x7486bda2, 0xcb082df8, 0x748423e0, 0xcb0275b8,
-    0x748189d7, 0xcafcbd99,
-  0x747eef85, 0xcaf7059a, 0x747c54ec, 0xcaf14dbd, 0x7479ba0b, 0xcaeb9600,
-    0x74771ee2, 0xcae5de64,
-  0x74748371, 0xcae026e8, 0x7471e7b8, 0xcada6f8d, 0x746f4bb8, 0xcad4b853,
-    0x746caf70, 0xcacf013a,
-  0x746a12df, 0xcac94a42, 0x74677608, 0xcac3936b, 0x7464d8e8, 0xcabddcb4,
-    0x74623b80, 0xcab8261e,
-  0x745f9dd1, 0xcab26fa9, 0x745cffda, 0xcaacb955, 0x745a619b, 0xcaa70322,
-    0x7457c314, 0xcaa14d10,
-  0x74552446, 0xca9b971e, 0x74528530, 0xca95e14e, 0x744fe5d2, 0xca902b9f,
-    0x744d462c, 0xca8a7610,
-  0x744aa63f, 0xca84c0a3, 0x7448060a, 0xca7f0b56, 0x7445658d, 0xca79562b,
-    0x7442c4c8, 0xca73a120,
-  0x744023bc, 0xca6dec37, 0x743d8268, 0xca68376e, 0x743ae0cc, 0xca6282c7,
-    0x74383ee9, 0xca5cce40,
-  0x74359cbd, 0xca5719db, 0x7432fa4b, 0xca516597, 0x74305790, 0xca4bb174,
-    0x742db48e, 0xca45fd72,
-  0x742b1144, 0xca404992, 0x74286db3, 0xca3a95d2, 0x7425c9da, 0xca34e234,
-    0x742325b9, 0xca2f2eb6,
-  0x74208150, 0xca297b5a, 0x741ddca0, 0xca23c820, 0x741b37a9, 0xca1e1506,
-    0x74189269, 0xca18620e,
-  0x7415ece2, 0xca12af37, 0x74134714, 0xca0cfc81, 0x7410a0fe, 0xca0749ec,
-    0x740dfaa0, 0xca019779,
-  0x740b53fb, 0xc9fbe527, 0x7408ad0e, 0xc9f632f6, 0x740605d9, 0xc9f080e7,
-    0x74035e5d, 0xc9eacef9,
-  0x7400b69a, 0xc9e51d2d, 0x73fe0e8f, 0xc9df6b81, 0x73fb663c, 0xc9d9b9f7,
-    0x73f8bda2, 0xc9d4088f,
-  0x73f614c0, 0xc9ce5748, 0x73f36b97, 0xc9c8a622, 0x73f0c226, 0xc9c2f51e,
-    0x73ee186e, 0xc9bd443c,
-  0x73eb6e6e, 0xc9b7937a, 0x73e8c426, 0xc9b1e2db, 0x73e61997, 0xc9ac325d,
-    0x73e36ec1, 0xc9a68200,
-  0x73e0c3a3, 0xc9a0d1c5, 0x73de183e, 0xc99b21ab, 0x73db6c91, 0xc99571b3,
-    0x73d8c09d, 0xc98fc1dc,
-  0x73d61461, 0xc98a1227, 0x73d367de, 0xc9846294, 0x73d0bb13, 0xc97eb322,
-    0x73ce0e01, 0xc97903d2,
-  0x73cb60a8, 0xc97354a4, 0x73c8b307, 0xc96da597, 0x73c6051f, 0xc967f6ac,
-    0x73c356ef, 0xc96247e2,
-  0x73c0a878, 0xc95c993a, 0x73bdf9b9, 0xc956eab4, 0x73bb4ab3, 0xc9513c50,
-    0x73b89b66, 0xc94b8e0d,
-  0x73b5ebd1, 0xc945dfec, 0x73b33bf5, 0xc94031ed, 0x73b08bd1, 0xc93a8410,
-    0x73addb67, 0xc934d654,
-  0x73ab2ab4, 0xc92f28ba, 0x73a879bb, 0xc9297b42, 0x73a5c87a, 0xc923cdec,
-    0x73a316f2, 0xc91e20b8,
-  0x73a06522, 0xc91873a5, 0x739db30b, 0xc912c6b5, 0x739b00ad, 0xc90d19e6,
-    0x73984e07, 0xc9076d39,
-  0x73959b1b, 0xc901c0ae, 0x7392e7e6, 0xc8fc1445, 0x7390346b, 0xc8f667fe,
-    0x738d80a8, 0xc8f0bbd9,
-  0x738acc9e, 0xc8eb0fd6, 0x7388184d, 0xc8e563f5, 0x738563b5, 0xc8dfb836,
-    0x7382aed5, 0xc8da0c99,
-  0x737ff9ae, 0xc8d4611d, 0x737d4440, 0xc8ceb5c4, 0x737a8e8a, 0xc8c90a8d,
-    0x7377d88d, 0xc8c35f78,
-  0x73752249, 0xc8bdb485, 0x73726bbe, 0xc8b809b4, 0x736fb4ec, 0xc8b25f06,
-    0x736cfdd2, 0xc8acb479,
-  0x736a4671, 0xc8a70a0e, 0x73678ec9, 0xc8a15fc6, 0x7364d6da, 0xc89bb5a0,
-    0x73621ea4, 0xc8960b9c,
-  0x735f6626, 0xc89061ba, 0x735cad61, 0xc88ab7fa, 0x7359f456, 0xc8850e5d,
-    0x73573b03, 0xc87f64e2,
-  0x73548168, 0xc879bb89, 0x7351c787, 0xc8741252, 0x734f0d5f, 0xc86e693d,
-    0x734c52ef, 0xc868c04b,
-  0x73499838, 0xc863177b, 0x7346dd3a, 0xc85d6ece, 0x734421f6, 0xc857c642,
-    0x7341666a, 0xc8521dd9,
-  0x733eaa96, 0xc84c7593, 0x733bee7c, 0xc846cd6e, 0x7339321b, 0xc841256d,
-    0x73367572, 0xc83b7d8d,
-  0x7333b883, 0xc835d5d0, 0x7330fb4d, 0xc8302e35, 0x732e3dcf, 0xc82a86bd,
-    0x732b800a, 0xc824df67,
-  0x7328c1ff, 0xc81f3834, 0x732603ac, 0xc8199123, 0x73234512, 0xc813ea35,
-    0x73208632, 0xc80e4369,
-  0x731dc70a, 0xc8089cbf, 0x731b079b, 0xc802f638, 0x731847e5, 0xc7fd4fd4,
-    0x731587e8, 0xc7f7a992,
-  0x7312c7a5, 0xc7f20373, 0x7310071a, 0xc7ec5d76, 0x730d4648, 0xc7e6b79c,
-    0x730a8530, 0xc7e111e5,
-  0x7307c3d0, 0xc7db6c50, 0x73050229, 0xc7d5c6de, 0x7302403c, 0xc7d0218e,
-    0x72ff7e07, 0xc7ca7c61,
-  0x72fcbb8c, 0xc7c4d757, 0x72f9f8c9, 0xc7bf3270, 0x72f735c0, 0xc7b98dab,
-    0x72f47270, 0xc7b3e909,
-  0x72f1aed9, 0xc7ae4489, 0x72eeeafb, 0xc7a8a02c, 0x72ec26d6, 0xc7a2fbf3,
-    0x72e9626a, 0xc79d57db,
-  0x72e69db7, 0xc797b3e7, 0x72e3d8be, 0xc7921015, 0x72e1137d, 0xc78c6c67,
-    0x72de4df6, 0xc786c8db,
-  0x72db8828, 0xc7812572, 0x72d8c213, 0xc77b822b, 0x72d5fbb7, 0xc775df08,
-    0x72d33514, 0xc7703c08,
-  0x72d06e2b, 0xc76a992a, 0x72cda6fb, 0xc764f66f, 0x72cadf83, 0xc75f53d7,
-    0x72c817c6, 0xc759b163,
-  0x72c54fc1, 0xc7540f11, 0x72c28775, 0xc74e6ce2, 0x72bfbee3, 0xc748cad6,
-    0x72bcf60a, 0xc74328ed,
-  0x72ba2cea, 0xc73d8727, 0x72b76383, 0xc737e584, 0x72b499d6, 0xc7324404,
-    0x72b1cfe1, 0xc72ca2a7,
-  0x72af05a7, 0xc727016d, 0x72ac3b25, 0xc7216056, 0x72a9705c, 0xc71bbf62,
-    0x72a6a54d, 0xc7161e92,
-  0x72a3d9f7, 0xc7107de4, 0x72a10e5b, 0xc70add5a, 0x729e4277, 0xc7053cf2,
-    0x729b764d, 0xc6ff9cae,
-  0x7298a9dd, 0xc6f9fc8d, 0x7295dd25, 0xc6f45c8f, 0x72931027, 0xc6eebcb5,
-    0x729042e3, 0xc6e91cfd,
-  0x728d7557, 0xc6e37d69, 0x728aa785, 0xc6ddddf8, 0x7287d96c, 0xc6d83eab,
-    0x72850b0d, 0xc6d29f80,
-  0x72823c67, 0xc6cd0079, 0x727f6d7a, 0xc6c76195, 0x727c9e47, 0xc6c1c2d4,
-    0x7279cecd, 0xc6bc2437,
-  0x7276ff0d, 0xc6b685bd, 0x72742f05, 0xc6b0e767, 0x72715eb8, 0xc6ab4933,
-    0x726e8e23, 0xc6a5ab23,
-  0x726bbd48, 0xc6a00d37, 0x7268ec27, 0xc69a6f6e, 0x72661abf, 0xc694d1c8,
-    0x72634910, 0xc68f3446,
-  0x7260771b, 0xc68996e7, 0x725da4df, 0xc683f9ab, 0x725ad25d, 0xc67e5c93,
-    0x7257ff94, 0xc678bf9f,
-  0x72552c85, 0xc67322ce, 0x7252592f, 0xc66d8620, 0x724f8593, 0xc667e996,
-    0x724cb1b0, 0xc6624d30,
-  0x7249dd86, 0xc65cb0ed, 0x72470916, 0xc65714cd, 0x72443460, 0xc65178d1,
-    0x72415f63, 0xc64bdcf9,
-  0x723e8a20, 0xc6464144, 0x723bb496, 0xc640a5b3, 0x7238dec5, 0xc63b0a46,
-    0x723608af, 0xc6356efc,
-  0x72333251, 0xc62fd3d6, 0x72305bae, 0xc62a38d4, 0x722d84c4, 0xc6249df5,
-    0x722aad93, 0xc61f033a,
-  0x7227d61c, 0xc61968a2, 0x7224fe5f, 0xc613ce2f, 0x7222265b, 0xc60e33df,
-    0x721f4e11, 0xc60899b2,
-  0x721c7580, 0xc602ffaa, 0x72199ca9, 0xc5fd65c5, 0x7216c38c, 0xc5f7cc04,
-    0x7213ea28, 0xc5f23267,
-  0x7211107e, 0xc5ec98ee, 0x720e368d, 0xc5e6ff98, 0x720b5c57, 0xc5e16667,
-    0x720881d9, 0xc5dbcd59,
-  0x7205a716, 0xc5d6346f, 0x7202cc0c, 0xc5d09ba9, 0x71fff0bc, 0xc5cb0307,
-    0x71fd1525, 0xc5c56a89,
-  0x71fa3949, 0xc5bfd22e, 0x71f75d25, 0xc5ba39f8, 0x71f480bc, 0xc5b4a1e5,
-    0x71f1a40c, 0xc5af09f7,
-  0x71eec716, 0xc5a9722c, 0x71ebe9da, 0xc5a3da86, 0x71e90c57, 0xc59e4303,
-    0x71e62e8f, 0xc598aba5,
-  0x71e35080, 0xc593146a, 0x71e0722a, 0xc58d7d54, 0x71dd938f, 0xc587e661,
-    0x71dab4ad, 0xc5824f93,
-  0x71d7d585, 0xc57cb8e9, 0x71d4f617, 0xc5772263, 0x71d21662, 0xc5718c00,
-    0x71cf3667, 0xc56bf5c2,
-  0x71cc5626, 0xc5665fa9, 0x71c9759f, 0xc560c9b3, 0x71c694d2, 0xc55b33e2,
-    0x71c3b3bf, 0xc5559e34,
-  0x71c0d265, 0xc55008ab, 0x71bdf0c5, 0xc54a7346, 0x71bb0edf, 0xc544de05,
-    0x71b82cb3, 0xc53f48e9,
-  0x71b54a41, 0xc539b3f1, 0x71b26788, 0xc5341f1d, 0x71af848a, 0xc52e8a6d,
-    0x71aca145, 0xc528f5e1,
-  0x71a9bdba, 0xc523617a, 0x71a6d9e9, 0xc51dcd37, 0x71a3f5d2, 0xc5183919,
-    0x71a11175, 0xc512a51f,
-  0x719e2cd2, 0xc50d1149, 0x719b47e9, 0xc5077d97, 0x719862b9, 0xc501ea0a,
-    0x71957d44, 0xc4fc56a2,
-  0x71929789, 0xc4f6c35d, 0x718fb187, 0xc4f1303d, 0x718ccb3f, 0xc4eb9d42,
-    0x7189e4b2, 0xc4e60a6b,
-  0x7186fdde, 0xc4e077b8, 0x718416c4, 0xc4dae52a, 0x71812f65, 0xc4d552c1,
-    0x717e47bf, 0xc4cfc07c,
-  0x717b5fd3, 0xc4ca2e5b, 0x717877a1, 0xc4c49c5f, 0x71758f29, 0xc4bf0a87,
-    0x7172a66c, 0xc4b978d4,
-  0x716fbd68, 0xc4b3e746, 0x716cd41e, 0xc4ae55dc, 0x7169ea8f, 0xc4a8c497,
-    0x716700b9, 0xc4a33376,
-  0x7164169d, 0xc49da27a, 0x71612c3c, 0xc49811a3, 0x715e4194, 0xc49280f0,
-    0x715b56a7, 0xc48cf062,
-  0x71586b74, 0xc4875ff9, 0x71557ffa, 0xc481cfb4, 0x7152943b, 0xc47c3f94,
-    0x714fa836, 0xc476af98,
-  0x714cbbeb, 0xc4711fc2, 0x7149cf5a, 0xc46b9010, 0x7146e284, 0xc4660083,
-    0x7143f567, 0xc460711b,
-  0x71410805, 0xc45ae1d7, 0x713e1a5c, 0xc45552b8, 0x713b2c6e, 0xc44fc3be,
-    0x71383e3a, 0xc44a34e9,
-  0x71354fc0, 0xc444a639, 0x71326101, 0xc43f17ad, 0x712f71fb, 0xc4398947,
-    0x712c82b0, 0xc433fb05,
-  0x7129931f, 0xc42e6ce8, 0x7126a348, 0xc428def0, 0x7123b32b, 0xc423511d,
-    0x7120c2c8, 0xc41dc36f,
-  0x711dd220, 0xc41835e6, 0x711ae132, 0xc412a882, 0x7117effe, 0xc40d1b42,
-    0x7114fe84, 0xc4078e28,
-  0x71120cc5, 0xc4020133, 0x710f1ac0, 0xc3fc7462, 0x710c2875, 0xc3f6e7b7,
-    0x710935e4, 0xc3f15b31,
-  0x7106430e, 0xc3ebced0, 0x71034ff2, 0xc3e64294, 0x71005c90, 0xc3e0b67d,
-    0x70fd68e9, 0xc3db2a8b,
-  0x70fa74fc, 0xc3d59ebe, 0x70f780c9, 0xc3d01316, 0x70f48c50, 0xc3ca8793,
-    0x70f19792, 0xc3c4fc36,
-  0x70eea28e, 0xc3bf70fd, 0x70ebad45, 0xc3b9e5ea, 0x70e8b7b5, 0xc3b45afc,
-    0x70e5c1e1, 0xc3aed034,
-  0x70e2cbc6, 0xc3a94590, 0x70dfd566, 0xc3a3bb12, 0x70dcdec0, 0xc39e30b8,
-    0x70d9e7d5, 0xc398a685,
-  0x70d6f0a4, 0xc3931c76, 0x70d3f92d, 0xc38d928d, 0x70d10171, 0xc38808c9,
-    0x70ce096f, 0xc3827f2a,
-  0x70cb1128, 0xc37cf5b0, 0x70c8189b, 0xc3776c5c, 0x70c51fc8, 0xc371e32d,
-    0x70c226b0, 0xc36c5a24,
-  0x70bf2d53, 0xc366d140, 0x70bc33b0, 0xc3614881, 0x70b939c7, 0xc35bbfe8,
-    0x70b63f99, 0xc3563774,
-  0x70b34525, 0xc350af26, 0x70b04a6b, 0xc34b26fc, 0x70ad4f6d, 0xc3459ef9,
-    0x70aa5428, 0xc340171b,
-  0x70a7589f, 0xc33a8f62, 0x70a45ccf, 0xc33507cf, 0x70a160ba, 0xc32f8061,
-    0x709e6460, 0xc329f919,
-  0x709b67c0, 0xc32471f7, 0x70986adb, 0xc31eeaf9, 0x70956db1, 0xc3196422,
-    0x70927041, 0xc313dd70,
-  0x708f728b, 0xc30e56e4, 0x708c7490, 0xc308d07d, 0x70897650, 0xc3034a3c,
-    0x708677ca, 0xc2fdc420,
-  0x708378ff, 0xc2f83e2a, 0x708079ee, 0xc2f2b85a, 0x707d7a98, 0xc2ed32af,
-    0x707a7afd, 0xc2e7ad2a,
-  0x70777b1c, 0xc2e227cb, 0x70747af6, 0xc2dca291, 0x70717a8a, 0xc2d71d7e,
-    0x706e79d9, 0xc2d1988f,
-  0x706b78e3, 0xc2cc13c7, 0x706877a7, 0xc2c68f24, 0x70657626, 0xc2c10aa7,
-    0x70627460, 0xc2bb8650,
-  0x705f7255, 0xc2b6021f, 0x705c7004, 0xc2b07e14, 0x70596d6d, 0xc2aafa2e,
-    0x70566a92, 0xc2a5766e,
-  0x70536771, 0xc29ff2d4, 0x7050640b, 0xc29a6f60, 0x704d6060, 0xc294ec12,
-    0x704a5c6f, 0xc28f68e9,
-  0x70475839, 0xc289e5e7, 0x704453be, 0xc284630a, 0x70414efd, 0xc27ee054,
-    0x703e49f8, 0xc2795dc3,
-  0x703b44ad, 0xc273db58, 0x70383f1d, 0xc26e5913, 0x70353947, 0xc268d6f5,
-    0x7032332d, 0xc26354fc,
-  0x702f2ccd, 0xc25dd329, 0x702c2628, 0xc258517c, 0x70291f3e, 0xc252cff5,
-    0x7026180e, 0xc24d4e95,
-  0x7023109a, 0xc247cd5a, 0x702008e0, 0xc2424c46, 0x701d00e1, 0xc23ccb57,
-    0x7019f89d, 0xc2374a8f,
-  0x7016f014, 0xc231c9ec, 0x7013e746, 0xc22c4970, 0x7010de32, 0xc226c91a,
-    0x700dd4da, 0xc22148ea,
-  0x700acb3c, 0xc21bc8e1, 0x7007c159, 0xc21648fd, 0x7004b731, 0xc210c940,
-    0x7001acc4, 0xc20b49a9,
-  0x6ffea212, 0xc205ca38, 0x6ffb971b, 0xc2004aed, 0x6ff88bde, 0xc1facbc9,
-    0x6ff5805d, 0xc1f54cca,
-  0x6ff27497, 0xc1efcdf3, 0x6fef688b, 0xc1ea4f41, 0x6fec5c3b, 0xc1e4d0b6,
-    0x6fe94fa5, 0xc1df5251,
-  0x6fe642ca, 0xc1d9d412, 0x6fe335ab, 0xc1d455f9, 0x6fe02846, 0xc1ced807,
-    0x6fdd1a9c, 0xc1c95a3c,
-  0x6fda0cae, 0xc1c3dc97, 0x6fd6fe7a, 0xc1be5f18, 0x6fd3f001, 0xc1b8e1bf,
-    0x6fd0e144, 0xc1b3648d,
-  0x6fcdd241, 0xc1ade781, 0x6fcac2fa, 0xc1a86a9c, 0x6fc7b36d, 0xc1a2edde,
-    0x6fc4a39c, 0xc19d7145,
-  0x6fc19385, 0xc197f4d4, 0x6fbe832a, 0xc1927888, 0x6fbb728a, 0xc18cfc63,
-    0x6fb861a4, 0xc1878065,
-  0x6fb5507a, 0xc182048d, 0x6fb23f0b, 0xc17c88dc, 0x6faf2d57, 0xc1770d52,
-    0x6fac1b5f, 0xc17191ee,
-  0x6fa90921, 0xc16c16b0, 0x6fa5f69e, 0xc1669b99, 0x6fa2e3d7, 0xc16120a9,
-    0x6f9fd0cb, 0xc15ba5df,
-  0x6f9cbd79, 0xc1562b3d, 0x6f99a9e3, 0xc150b0c0, 0x6f969608, 0xc14b366b,
-    0x6f9381e9, 0xc145bc3c,
-  0x6f906d84, 0xc1404233, 0x6f8d58db, 0xc13ac852, 0x6f8a43ed, 0xc1354e97,
-    0x6f872eba, 0xc12fd503,
-  0x6f841942, 0xc12a5b95, 0x6f810386, 0xc124e24f, 0x6f7ded84, 0xc11f692f,
-    0x6f7ad73e, 0xc119f036,
-  0x6f77c0b3, 0xc1147764, 0x6f74a9e4, 0xc10efeb8, 0x6f7192cf, 0xc1098634,
-    0x6f6e7b76, 0xc1040dd6,
-  0x6f6b63d8, 0xc0fe959f, 0x6f684bf6, 0xc0f91d8f, 0x6f6533ce, 0xc0f3a5a6,
-    0x6f621b62, 0xc0ee2de3,
-  0x6f5f02b2, 0xc0e8b648, 0x6f5be9bc, 0xc0e33ed4, 0x6f58d082, 0xc0ddc786,
-    0x6f55b703, 0xc0d8505f,
-  0x6f529d40, 0xc0d2d960, 0x6f4f8338, 0xc0cd6287, 0x6f4c68eb, 0xc0c7ebd6,
-    0x6f494e5a, 0xc0c2754b,
-  0x6f463383, 0xc0bcfee7, 0x6f431869, 0xc0b788ab, 0x6f3ffd09, 0xc0b21295,
-    0x6f3ce165, 0xc0ac9ca6,
-  0x6f39c57d, 0xc0a726df, 0x6f36a94f, 0xc0a1b13e, 0x6f338cde, 0xc09c3bc5,
-    0x6f307027, 0xc096c673,
-  0x6f2d532c, 0xc0915148, 0x6f2a35ed, 0xc08bdc44, 0x6f271868, 0xc0866767,
-    0x6f23faa0, 0xc080f2b1,
-  0x6f20dc92, 0xc07b7e23, 0x6f1dbe41, 0xc07609bb, 0x6f1a9faa, 0xc070957b,
-    0x6f1780cf, 0xc06b2162,
-  0x6f1461b0, 0xc065ad70, 0x6f11424c, 0xc06039a6, 0x6f0e22a3, 0xc05ac603,
-    0x6f0b02b6, 0xc0555287,
-  0x6f07e285, 0xc04fdf32, 0x6f04c20f, 0xc04a6c05, 0x6f01a155, 0xc044f8fe,
-    0x6efe8056, 0xc03f8620,
-  0x6efb5f12, 0xc03a1368, 0x6ef83d8a, 0xc034a0d8, 0x6ef51bbe, 0xc02f2e6f,
-    0x6ef1f9ad, 0xc029bc2e,
-  0x6eeed758, 0xc0244a14, 0x6eebb4bf, 0xc01ed821, 0x6ee891e1, 0xc0196656,
-    0x6ee56ebe, 0xc013f4b2,
-  0x6ee24b57, 0xc00e8336, 0x6edf27ac, 0xc00911e1, 0x6edc03bc, 0xc003a0b3,
-    0x6ed8df88, 0xbffe2fad,
-  0x6ed5bb10, 0xbff8bece, 0x6ed29653, 0xbff34e17, 0x6ecf7152, 0xbfeddd88,
-    0x6ecc4c0d, 0xbfe86d20,
-  0x6ec92683, 0xbfe2fcdf, 0x6ec600b5, 0xbfdd8cc6, 0x6ec2daa2, 0xbfd81cd5,
-    0x6ebfb44b, 0xbfd2ad0b,
-  0x6ebc8db0, 0xbfcd3d69, 0x6eb966d1, 0xbfc7cdee, 0x6eb63fad, 0xbfc25e9b,
-    0x6eb31845, 0xbfbcef70,
-  0x6eaff099, 0xbfb7806c, 0x6eacc8a8, 0xbfb21190, 0x6ea9a073, 0xbfaca2dc,
-    0x6ea677fa, 0xbfa7344f,
-  0x6ea34f3d, 0xbfa1c5ea, 0x6ea0263b, 0xbf9c57ac, 0x6e9cfcf5, 0xbf96e997,
-    0x6e99d36b, 0xbf917ba9,
-  0x6e96a99d, 0xbf8c0de3, 0x6e937f8a, 0xbf86a044, 0x6e905534, 0xbf8132ce,
-    0x6e8d2a99, 0xbf7bc57f,
-  0x6e89ffb9, 0xbf765858, 0x6e86d496, 0xbf70eb59, 0x6e83a92f, 0xbf6b7e81,
-    0x6e807d83, 0xbf6611d2,
-  0x6e7d5193, 0xbf60a54a, 0x6e7a255f, 0xbf5b38ea, 0x6e76f8e7, 0xbf55ccb2,
-    0x6e73cc2b, 0xbf5060a2,
-  0x6e709f2a, 0xbf4af4ba, 0x6e6d71e6, 0xbf4588fa, 0x6e6a445d, 0xbf401d61,
-    0x6e671690, 0xbf3ab1f1,
-  0x6e63e87f, 0xbf3546a8, 0x6e60ba2a, 0xbf2fdb88, 0x6e5d8b91, 0xbf2a708f,
-    0x6e5a5cb4, 0xbf2505bf,
-  0x6e572d93, 0xbf1f9b16, 0x6e53fe2e, 0xbf1a3096, 0x6e50ce84, 0xbf14c63d,
-    0x6e4d9e97, 0xbf0f5c0d,
-  0x6e4a6e66, 0xbf09f205, 0x6e473df0, 0xbf048824, 0x6e440d37, 0xbeff1e6c,
-    0x6e40dc39, 0xbef9b4dc,
-  0x6e3daaf8, 0xbef44b74, 0x6e3a7972, 0xbeeee234, 0x6e3747a9, 0xbee9791c,
-    0x6e34159b, 0xbee4102d,
-  0x6e30e34a, 0xbedea765, 0x6e2db0b4, 0xbed93ec6, 0x6e2a7ddb, 0xbed3d64f,
-    0x6e274abe, 0xbece6e00,
-  0x6e24175c, 0xbec905d9, 0x6e20e3b7, 0xbec39ddb, 0x6e1dafce, 0xbebe3605,
-    0x6e1a7ba1, 0xbeb8ce57,
-  0x6e174730, 0xbeb366d1, 0x6e14127b, 0xbeadff74, 0x6e10dd82, 0xbea8983f,
-    0x6e0da845, 0xbea33132,
-  0x6e0a72c5, 0xbe9dca4e, 0x6e073d00, 0xbe986391, 0x6e0406f8, 0xbe92fcfe,
-    0x6e00d0ac, 0xbe8d9692,
-  0x6dfd9a1c, 0xbe88304f, 0x6dfa6348, 0xbe82ca35, 0x6df72c30, 0xbe7d6442,
-    0x6df3f4d4, 0xbe77fe78,
-  0x6df0bd35, 0xbe7298d7, 0x6ded8552, 0xbe6d335e, 0x6dea4d2b, 0xbe67ce0d,
-    0x6de714c0, 0xbe6268e5,
-  0x6de3dc11, 0xbe5d03e6, 0x6de0a31f, 0xbe579f0f, 0x6ddd69e9, 0xbe523a60,
-    0x6dda306f, 0xbe4cd5da,
-  0x6dd6f6b1, 0xbe47717c, 0x6dd3bcaf, 0xbe420d47, 0x6dd0826a, 0xbe3ca93b,
-    0x6dcd47e1, 0xbe374557,
-  0x6dca0d14, 0xbe31e19b, 0x6dc6d204, 0xbe2c7e09, 0x6dc396b0, 0xbe271a9f,
-    0x6dc05b18, 0xbe21b75d,
-  0x6dbd1f3c, 0xbe1c5444, 0x6db9e31d, 0xbe16f154, 0x6db6a6ba, 0xbe118e8c,
-    0x6db36a14, 0xbe0c2bed,
-  0x6db02d29, 0xbe06c977, 0x6daceffb, 0xbe01672a, 0x6da9b28a, 0xbdfc0505,
-    0x6da674d5, 0xbdf6a309,
-  0x6da336dc, 0xbdf14135, 0x6d9ff89f, 0xbdebdf8b, 0x6d9cba1f, 0xbde67e09,
-    0x6d997b5b, 0xbde11cb0,
-  0x6d963c54, 0xbddbbb7f, 0x6d92fd09, 0xbdd65a78, 0x6d8fbd7a, 0xbdd0f999,
-    0x6d8c7da8, 0xbdcb98e3,
-  0x6d893d93, 0xbdc63856, 0x6d85fd39, 0xbdc0d7f2, 0x6d82bc9d, 0xbdbb77b7,
-    0x6d7f7bbc, 0xbdb617a4,
-  0x6d7c3a98, 0xbdb0b7bb, 0x6d78f931, 0xbdab57fa, 0x6d75b786, 0xbda5f862,
-    0x6d727597, 0xbda098f3,
-  0x6d6f3365, 0xbd9b39ad, 0x6d6bf0f0, 0xbd95da91, 0x6d68ae37, 0xbd907b9d,
-    0x6d656b3a, 0xbd8b1cd2,
-  0x6d6227fa, 0xbd85be30, 0x6d5ee477, 0xbd805fb7, 0x6d5ba0b0, 0xbd7b0167,
-    0x6d585ca6, 0xbd75a340,
-  0x6d551858, 0xbd704542, 0x6d51d3c6, 0xbd6ae76d, 0x6d4e8ef2, 0xbd6589c1,
-    0x6d4b49da, 0xbd602c3f,
-  0x6d48047e, 0xbd5acee5, 0x6d44bedf, 0xbd5571b5, 0x6d4178fd, 0xbd5014ad,
-    0x6d3e32d7, 0xbd4ab7cf,
-  0x6d3aec6e, 0xbd455b1a, 0x6d37a5c1, 0xbd3ffe8e, 0x6d345ed1, 0xbd3aa22c,
-    0x6d31179e, 0xbd3545f2,
-  0x6d2dd027, 0xbd2fe9e2, 0x6d2a886e, 0xbd2a8dfb, 0x6d274070, 0xbd25323d,
-    0x6d23f830, 0xbd1fd6a8,
-  0x6d20afac, 0xbd1a7b3d, 0x6d1d66e4, 0xbd151ffb, 0x6d1a1dda, 0xbd0fc4e2,
-    0x6d16d48c, 0xbd0a69f2,
-  0x6d138afb, 0xbd050f2c, 0x6d104126, 0xbcffb48f, 0x6d0cf70f, 0xbcfa5a1b,
-    0x6d09acb4, 0xbcf4ffd1,
-  0x6d066215, 0xbcefa5b0, 0x6d031734, 0xbcea4bb9, 0x6cffcc0f, 0xbce4f1eb,
-    0x6cfc80a7, 0xbcdf9846,
-  0x6cf934fc, 0xbcda3ecb, 0x6cf5e90d, 0xbcd4e579, 0x6cf29cdc, 0xbccf8c50,
-    0x6cef5067, 0xbcca3351,
-  0x6cec03af, 0xbcc4da7b, 0x6ce8b6b4, 0xbcbf81cf, 0x6ce56975, 0xbcba294d,
-    0x6ce21bf4, 0xbcb4d0f4,
-  0x6cdece2f, 0xbcaf78c4, 0x6cdb8027, 0xbcaa20be, 0x6cd831dc, 0xbca4c8e1,
-    0x6cd4e34e, 0xbc9f712e,
-  0x6cd1947c, 0xbc9a19a5, 0x6cce4568, 0xbc94c245, 0x6ccaf610, 0xbc8f6b0f,
-    0x6cc7a676, 0xbc8a1402,
-  0x6cc45698, 0xbc84bd1f, 0x6cc10677, 0xbc7f6665, 0x6cbdb613, 0xbc7a0fd6,
-    0x6cba656c, 0xbc74b96f,
-  0x6cb71482, 0xbc6f6333, 0x6cb3c355, 0xbc6a0d20, 0x6cb071e4, 0xbc64b737,
-    0x6cad2031, 0xbc5f6177,
-  0x6ca9ce3b, 0xbc5a0be2, 0x6ca67c01, 0xbc54b676, 0x6ca32985, 0xbc4f6134,
-    0x6c9fd6c6, 0xbc4a0c1b,
-  0x6c9c83c3, 0xbc44b72c, 0x6c99307e, 0xbc3f6267, 0x6c95dcf6, 0xbc3a0dcc,
-    0x6c92892a, 0xbc34b95b,
-  0x6c8f351c, 0xbc2f6513, 0x6c8be0cb, 0xbc2a10f6, 0x6c888c36, 0xbc24bd02,
-    0x6c85375f, 0xbc1f6938,
-  0x6c81e245, 0xbc1a1598, 0x6c7e8ce8, 0xbc14c221, 0x6c7b3748, 0xbc0f6ed5,
-    0x6c77e165, 0xbc0a1bb3,
-  0x6c748b3f, 0xbc04c8ba, 0x6c7134d7, 0xbbff75ec, 0x6c6dde2b, 0xbbfa2347,
-    0x6c6a873d, 0xbbf4d0cc,
-  0x6c67300b, 0xbbef7e7c, 0x6c63d897, 0xbbea2c55, 0x6c6080e0, 0xbbe4da58,
-    0x6c5d28e6, 0xbbdf8885,
-  0x6c59d0a9, 0xbbda36dd, 0x6c56782a, 0xbbd4e55e, 0x6c531f67, 0xbbcf940a,
-    0x6c4fc662, 0xbbca42df,
-  0x6c4c6d1a, 0xbbc4f1df, 0x6c49138f, 0xbbbfa108, 0x6c45b9c1, 0xbbba505c,
-    0x6c425fb1, 0xbbb4ffda,
-  0x6c3f055d, 0xbbafaf82, 0x6c3baac7, 0xbbaa5f54, 0x6c384fef, 0xbba50f50,
-    0x6c34f4d3, 0xbb9fbf77,
-  0x6c319975, 0xbb9a6fc7, 0x6c2e3dd4, 0xbb952042, 0x6c2ae1f0, 0xbb8fd0e7,
-    0x6c2785ca, 0xbb8a81b6,
-  0x6c242960, 0xbb8532b0, 0x6c20ccb4, 0xbb7fe3d3, 0x6c1d6fc6, 0xbb7a9521,
-    0x6c1a1295, 0xbb754699,
-  0x6c16b521, 0xbb6ff83c, 0x6c13576a, 0xbb6aaa09, 0x6c0ff971, 0xbb655c00,
-    0x6c0c9b35, 0xbb600e21,
-  0x6c093cb6, 0xbb5ac06d, 0x6c05ddf5, 0xbb5572e3, 0x6c027ef1, 0xbb502583,
-    0x6bff1faa, 0xbb4ad84e,
-  0x6bfbc021, 0xbb458b43, 0x6bf86055, 0xbb403e63, 0x6bf50047, 0xbb3af1ad,
-    0x6bf19ff6, 0xbb35a521,
-  0x6bee3f62, 0xbb3058c0, 0x6beade8c, 0xbb2b0c8a, 0x6be77d74, 0xbb25c07d,
-    0x6be41c18, 0xbb20749c,
-  0x6be0ba7b, 0xbb1b28e4, 0x6bdd589a, 0xbb15dd57, 0x6bd9f677, 0xbb1091f5,
-    0x6bd69412, 0xbb0b46bd,
-  0x6bd3316a, 0xbb05fbb0, 0x6bcfce80, 0xbb00b0ce, 0x6bcc6b53, 0xbafb6615,
-    0x6bc907e3, 0xbaf61b88,
-  0x6bc5a431, 0xbaf0d125, 0x6bc2403d, 0xbaeb86ed, 0x6bbedc06, 0xbae63cdf,
-    0x6bbb778d, 0xbae0f2fc,
-  0x6bb812d1, 0xbadba943, 0x6bb4add3, 0xbad65fb5, 0x6bb14892, 0xbad11652,
-    0x6bade30f, 0xbacbcd1a,
-  0x6baa7d49, 0xbac6840c, 0x6ba71741, 0xbac13b29, 0x6ba3b0f7, 0xbabbf270,
-    0x6ba04a6a, 0xbab6a9e3,
-  0x6b9ce39b, 0xbab16180, 0x6b997c8a, 0xbaac1948, 0x6b961536, 0xbaa6d13a,
-    0x6b92ada0, 0xbaa18958,
-  0x6b8f45c7, 0xba9c41a0, 0x6b8bddac, 0xba96fa13, 0x6b88754f, 0xba91b2b1,
-    0x6b850caf, 0xba8c6b79,
-  0x6b81a3cd, 0xba87246d, 0x6b7e3aa9, 0xba81dd8b, 0x6b7ad142, 0xba7c96d4,
-    0x6b776799, 0xba775048,
-  0x6b73fdae, 0xba7209e7, 0x6b709381, 0xba6cc3b1, 0x6b6d2911, 0xba677da6,
-    0x6b69be5f, 0xba6237c5,
-  0x6b66536b, 0xba5cf210, 0x6b62e834, 0xba57ac86, 0x6b5f7cbc, 0xba526726,
-    0x6b5c1101, 0xba4d21f2,
-  0x6b58a503, 0xba47dce8, 0x6b5538c4, 0xba42980a, 0x6b51cc42, 0xba3d5356,
-    0x6b4e5f7f, 0xba380ece,
-  0x6b4af279, 0xba32ca71, 0x6b478530, 0xba2d863e, 0x6b4417a6, 0xba284237,
-    0x6b40a9d9, 0xba22fe5b,
-  0x6b3d3bcb, 0xba1dbaaa, 0x6b39cd7a, 0xba187724, 0x6b365ee7, 0xba1333c9,
-    0x6b32f012, 0xba0df099,
-  0x6b2f80fb, 0xba08ad95, 0x6b2c11a1, 0xba036abb, 0x6b28a206, 0xb9fe280d,
-    0x6b253228, 0xb9f8e58a,
-  0x6b21c208, 0xb9f3a332, 0x6b1e51a7, 0xb9ee6106, 0x6b1ae103, 0xb9e91f04,
-    0x6b17701d, 0xb9e3dd2e,
-  0x6b13fef5, 0xb9de9b83, 0x6b108d8b, 0xb9d95a03, 0x6b0d1bdf, 0xb9d418af,
-    0x6b09a9f1, 0xb9ced786,
-  0x6b0637c1, 0xb9c99688, 0x6b02c54f, 0xb9c455b6, 0x6aff529a, 0xb9bf150e,
-    0x6afbdfa4, 0xb9b9d493,
-  0x6af86c6c, 0xb9b49442, 0x6af4f8f2, 0xb9af541d, 0x6af18536, 0xb9aa1423,
-    0x6aee1138, 0xb9a4d455,
-  0x6aea9cf8, 0xb99f94b2, 0x6ae72876, 0xb99a553a, 0x6ae3b3b2, 0xb99515ee,
-    0x6ae03eac, 0xb98fd6cd,
-  0x6adcc964, 0xb98a97d8, 0x6ad953db, 0xb985590e, 0x6ad5de0f, 0xb9801a70,
-    0x6ad26802, 0xb97adbfd,
-  0x6acef1b2, 0xb9759db6, 0x6acb7b21, 0xb9705f9a, 0x6ac8044e, 0xb96b21aa,
-    0x6ac48d39, 0xb965e3e5,
-  0x6ac115e2, 0xb960a64c, 0x6abd9e49, 0xb95b68de, 0x6aba266e, 0xb9562b9c,
-    0x6ab6ae52, 0xb950ee86,
-  0x6ab335f4, 0xb94bb19b, 0x6aafbd54, 0xb94674dc, 0x6aac4472, 0xb9413848,
-    0x6aa8cb4e, 0xb93bfbe0,
-  0x6aa551e9, 0xb936bfa4, 0x6aa1d841, 0xb9318393, 0x6a9e5e58, 0xb92c47ae,
-    0x6a9ae42e, 0xb9270bf5,
-  0x6a9769c1, 0xb921d067, 0x6a93ef13, 0xb91c9505, 0x6a907423, 0xb91759cf,
-    0x6a8cf8f1, 0xb9121ec5,
-  0x6a897d7d, 0xb90ce3e6, 0x6a8601c8, 0xb907a933, 0x6a8285d1, 0xb9026eac,
-    0x6a7f0999, 0xb8fd3451,
-  0x6a7b8d1e, 0xb8f7fa21, 0x6a781062, 0xb8f2c01d, 0x6a749365, 0xb8ed8646,
-    0x6a711625, 0xb8e84c99,
-  0x6a6d98a4, 0xb8e31319, 0x6a6a1ae2, 0xb8ddd9c5, 0x6a669cdd, 0xb8d8a09d,
-    0x6a631e97, 0xb8d367a0,
-  0x6a5fa010, 0xb8ce2ecf, 0x6a5c2147, 0xb8c8f62b, 0x6a58a23c, 0xb8c3bdb2,
-    0x6a5522ef, 0xb8be8565,
-  0x6a51a361, 0xb8b94d44, 0x6a4e2392, 0xb8b4154f, 0x6a4aa381, 0xb8aedd86,
-    0x6a47232e, 0xb8a9a5e9,
-  0x6a43a29a, 0xb8a46e78, 0x6a4021c4, 0xb89f3733, 0x6a3ca0ad, 0xb89a001a,
-    0x6a391f54, 0xb894c92d,
-  0x6a359db9, 0xb88f926d, 0x6a321bdd, 0xb88a5bd8, 0x6a2e99c0, 0xb885256f,
-    0x6a2b1761, 0xb87fef33,
-  0x6a2794c1, 0xb87ab922, 0x6a2411df, 0xb875833e, 0x6a208ebb, 0xb8704d85,
-    0x6a1d0b57, 0xb86b17f9,
-  0x6a1987b0, 0xb865e299, 0x6a1603c8, 0xb860ad66, 0x6a127f9f, 0xb85b785e,
-    0x6a0efb35, 0xb8564383,
-  0x6a0b7689, 0xb8510ed4, 0x6a07f19b, 0xb84bda51, 0x6a046c6c, 0xb846a5fa,
-    0x6a00e6fc, 0xb84171cf,
-  0x69fd614a, 0xb83c3dd1, 0x69f9db57, 0xb83709ff, 0x69f65523, 0xb831d659,
-    0x69f2cead, 0xb82ca2e0,
-  0x69ef47f6, 0xb8276f93, 0x69ebc0fe, 0xb8223c72, 0x69e839c4, 0xb81d097e,
-    0x69e4b249, 0xb817d6b6,
-  0x69e12a8c, 0xb812a41a, 0x69dda28f, 0xb80d71aa, 0x69da1a50, 0xb8083f67,
-    0x69d691cf, 0xb8030d51,
-  0x69d3090e, 0xb7fddb67, 0x69cf800b, 0xb7f8a9a9, 0x69cbf6c7, 0xb7f37818,
-    0x69c86d41, 0xb7ee46b3,
-  0x69c4e37a, 0xb7e9157a, 0x69c15973, 0xb7e3e46e, 0x69bdcf29, 0xb7deb38f,
-    0x69ba449f, 0xb7d982dc,
-  0x69b6b9d3, 0xb7d45255, 0x69b32ec7, 0xb7cf21fb, 0x69afa378, 0xb7c9f1ce,
-    0x69ac17e9, 0xb7c4c1cd,
-  0x69a88c19, 0xb7bf91f8, 0x69a50007, 0xb7ba6251, 0x69a173b5, 0xb7b532d6,
-    0x699de721, 0xb7b00387,
-  0x699a5a4c, 0xb7aad465, 0x6996cd35, 0xb7a5a570, 0x69933fde, 0xb7a076a7,
-    0x698fb246, 0xb79b480b,
-  0x698c246c, 0xb796199b, 0x69889651, 0xb790eb58, 0x698507f6, 0xb78bbd42,
-    0x69817959, 0xb7868f59,
-  0x697dea7b, 0xb781619c, 0x697a5b5c, 0xb77c340c, 0x6976cbfc, 0xb77706a9,
-    0x69733c5b, 0xb771d972,
-  0x696fac78, 0xb76cac69, 0x696c1c55, 0xb7677f8c, 0x69688bf1, 0xb76252db,
-    0x6964fb4c, 0xb75d2658,
-  0x69616a65, 0xb757fa01, 0x695dd93e, 0xb752cdd8, 0x695a47d6, 0xb74da1db,
-    0x6956b62d, 0xb748760b,
-  0x69532442, 0xb7434a67, 0x694f9217, 0xb73e1ef1, 0x694bffab, 0xb738f3a7,
-    0x69486cfe, 0xb733c88b,
-  0x6944da10, 0xb72e9d9b, 0x694146e1, 0xb72972d8, 0x693db371, 0xb7244842,
-    0x693a1fc0, 0xb71f1dd9,
-  0x69368bce, 0xb719f39e, 0x6932f79b, 0xb714c98e, 0x692f6328, 0xb70f9fac,
-    0x692bce73, 0xb70a75f7,
-  0x6928397e, 0xb7054c6f, 0x6924a448, 0xb7002314, 0x69210ed1, 0xb6faf9e6,
-    0x691d7919, 0xb6f5d0e5,
-  0x6919e320, 0xb6f0a812, 0x69164ce7, 0xb6eb7f6b, 0x6912b66c, 0xb6e656f1,
-    0x690f1fb1, 0xb6e12ea4,
-  0x690b88b5, 0xb6dc0685, 0x6907f178, 0xb6d6de92, 0x690459fb, 0xb6d1b6cd,
-    0x6900c23c, 0xb6cc8f35,
-  0x68fd2a3d, 0xb6c767ca, 0x68f991fd, 0xb6c2408c, 0x68f5f97d, 0xb6bd197c,
-    0x68f260bb, 0xb6b7f298,
-  0x68eec7b9, 0xb6b2cbe2, 0x68eb2e76, 0xb6ada559, 0x68e794f3, 0xb6a87efd,
-    0x68e3fb2e, 0xb6a358ce,
-  0x68e06129, 0xb69e32cd, 0x68dcc6e4, 0xb6990cf9, 0x68d92c5d, 0xb693e752,
-    0x68d59196, 0xb68ec1d9,
-  0x68d1f68f, 0xb6899c8d, 0x68ce5b46, 0xb684776e, 0x68cabfbd, 0xb67f527c,
-    0x68c723f3, 0xb67a2db8,
-  0x68c387e9, 0xb6750921, 0x68bfeb9e, 0xb66fe4b8, 0x68bc4f13, 0xb66ac07c,
-    0x68b8b247, 0xb6659c6d,
-  0x68b5153a, 0xb660788c, 0x68b177ed, 0xb65b54d8, 0x68adda5f, 0xb6563151,
-    0x68aa3c90, 0xb6510df8,
-  0x68a69e81, 0xb64beacd, 0x68a30031, 0xb646c7ce, 0x689f61a1, 0xb641a4fe,
-    0x689bc2d1, 0xb63c825b,
-  0x689823bf, 0xb6375fe5, 0x6894846e, 0xb6323d9d, 0x6890e4dc, 0xb62d1b82,
-    0x688d4509, 0xb627f995,
-  0x6889a4f6, 0xb622d7d6, 0x688604a2, 0xb61db644, 0x6882640e, 0xb61894df,
-    0x687ec339, 0xb61373a9,
-  0x687b2224, 0xb60e529f, 0x687780ce, 0xb60931c4, 0x6873df38, 0xb6041116,
-    0x68703d62, 0xb5fef095,
-  0x686c9b4b, 0xb5f9d043, 0x6868f8f4, 0xb5f4b01e, 0x6865565c, 0xb5ef9026,
-    0x6861b384, 0xb5ea705d,
-  0x685e106c, 0xb5e550c1, 0x685a6d13, 0xb5e03153, 0x6856c979, 0xb5db1212,
-    0x685325a0, 0xb5d5f2ff,
-  0x684f8186, 0xb5d0d41a, 0x684bdd2c, 0xb5cbb563, 0x68483891, 0xb5c696da,
-    0x684493b6, 0xb5c1787e,
-  0x6840ee9b, 0xb5bc5a50, 0x683d493f, 0xb5b73c50, 0x6839a3a4, 0xb5b21e7e,
-    0x6835fdc7, 0xb5ad00d9,
-  0x683257ab, 0xb5a7e362, 0x682eb14e, 0xb5a2c61a, 0x682b0ab1, 0xb59da8ff,
-    0x682763d4, 0xb5988c12,
-  0x6823bcb7, 0xb5936f53, 0x68201559, 0xb58e52c2, 0x681c6dbb, 0xb589365e,
-    0x6818c5dd, 0xb5841a29,
-  0x68151dbe, 0xb57efe22, 0x68117560, 0xb579e248, 0x680dccc1, 0xb574c69d,
-    0x680a23e2, 0xb56fab1f,
-  0x68067ac3, 0xb56a8fd0, 0x6802d164, 0xb56574ae, 0x67ff27c4, 0xb56059bb,
-    0x67fb7de5, 0xb55b3ef5,
-  0x67f7d3c5, 0xb556245e, 0x67f42965, 0xb55109f5, 0x67f07ec5, 0xb54befba,
-    0x67ecd3e5, 0xb546d5ac,
-  0x67e928c5, 0xb541bbcd, 0x67e57d64, 0xb53ca21c, 0x67e1d1c4, 0xb5378899,
-    0x67de25e3, 0xb5326f45,
-  0x67da79c3, 0xb52d561e, 0x67d6cd62, 0xb5283d26, 0x67d320c1, 0xb523245b,
-    0x67cf73e1, 0xb51e0bbf,
-  0x67cbc6c0, 0xb518f351, 0x67c8195f, 0xb513db12, 0x67c46bbe, 0xb50ec300,
-    0x67c0bddd, 0xb509ab1d,
-  0x67bd0fbd, 0xb5049368, 0x67b9615c, 0xb4ff7be1, 0x67b5b2bb, 0xb4fa6489,
-    0x67b203da, 0xb4f54d5f,
-  0x67ae54ba, 0xb4f03663, 0x67aaa559, 0xb4eb1f95, 0x67a6f5b8, 0xb4e608f6,
-    0x67a345d8, 0xb4e0f285,
-  0x679f95b7, 0xb4dbdc42, 0x679be557, 0xb4d6c62e, 0x679834b6, 0xb4d1b048,
-    0x679483d6, 0xb4cc9a90,
-  0x6790d2b6, 0xb4c78507, 0x678d2156, 0xb4c26fad, 0x67896fb6, 0xb4bd5a80,
-    0x6785bdd6, 0xb4b84582,
-  0x67820bb7, 0xb4b330b3, 0x677e5957, 0xb4ae1c12, 0x677aa6b8, 0xb4a9079f,
-    0x6776f3d9, 0xb4a3f35b,
-  0x677340ba, 0xb49edf45, 0x676f8d5b, 0xb499cb5e, 0x676bd9bd, 0xb494b7a6,
-    0x676825de, 0xb48fa41c,
-  0x676471c0, 0xb48a90c0, 0x6760bd62, 0xb4857d93, 0x675d08c4, 0xb4806a95,
-    0x675953e7, 0xb47b57c5,
-  0x67559eca, 0xb4764523, 0x6751e96d, 0xb47132b1, 0x674e33d0, 0xb46c206d,
-    0x674a7df4, 0xb4670e57,
-  0x6746c7d8, 0xb461fc70, 0x6743117c, 0xb45ceab8, 0x673f5ae0, 0xb457d92f,
-    0x673ba405, 0xb452c7d4,
-  0x6737ecea, 0xb44db6a8, 0x67343590, 0xb448a5aa, 0x67307df5, 0xb44394db,
-    0x672cc61c, 0xb43e843b,
-  0x67290e02, 0xb43973ca, 0x672555a9, 0xb4346387, 0x67219d10, 0xb42f5373,
-    0x671de438, 0xb42a438e,
-  0x671a2b20, 0xb42533d8, 0x671671c8, 0xb4202451, 0x6712b831, 0xb41b14f8,
-    0x670efe5a, 0xb41605ce,
-  0x670b4444, 0xb410f6d3, 0x670789ee, 0xb40be807, 0x6703cf58, 0xb406d969,
-    0x67001483, 0xb401cafb,
-  0x66fc596f, 0xb3fcbcbb, 0x66f89e1b, 0xb3f7aeaa, 0x66f4e287, 0xb3f2a0c9,
-    0x66f126b4, 0xb3ed9316,
-  0x66ed6aa1, 0xb3e88592, 0x66e9ae4f, 0xb3e3783d, 0x66e5f1be, 0xb3de6b17,
-    0x66e234ed, 0xb3d95e1f,
-  0x66de77dc, 0xb3d45157, 0x66daba8c, 0xb3cf44be, 0x66d6fcfd, 0xb3ca3854,
-    0x66d33f2e, 0xb3c52c19,
-  0x66cf8120, 0xb3c0200c, 0x66cbc2d2, 0xb3bb142f, 0x66c80445, 0xb3b60881,
-    0x66c44579, 0xb3b0fd02,
-  0x66c0866d, 0xb3abf1b2, 0x66bcc721, 0xb3a6e691, 0x66b90797, 0xb3a1dba0,
-    0x66b547cd, 0xb39cd0dd,
-  0x66b187c3, 0xb397c649, 0x66adc77b, 0xb392bbe5, 0x66aa06f3, 0xb38db1b0,
-    0x66a6462b, 0xb388a7aa,
-  0x66a28524, 0xb3839dd3, 0x669ec3de, 0xb37e942b, 0x669b0259, 0xb3798ab2,
-    0x66974095, 0xb3748169,
-  0x66937e91, 0xb36f784f, 0x668fbc4e, 0xb36a6f64, 0x668bf9cb, 0xb36566a8,
-    0x66883709, 0xb3605e1c,
-  0x66847408, 0xb35b55bf, 0x6680b0c8, 0xb3564d91, 0x667ced49, 0xb3514592,
-    0x6679298a, 0xb34c3dc3,
-  0x6675658c, 0xb3473623, 0x6671a14f, 0xb3422eb2, 0x666ddcd3, 0xb33d2771,
-    0x666a1818, 0xb338205f,
-  0x6666531d, 0xb333197c, 0x66628de4, 0xb32e12c9, 0x665ec86b, 0xb3290c45,
-    0x665b02b3, 0xb32405f1,
-  0x66573cbb, 0xb31effcc, 0x66537685, 0xb319f9d6, 0x664fb010, 0xb314f410,
-    0x664be95b, 0xb30fee79,
-  0x66482267, 0xb30ae912, 0x66445b35, 0xb305e3da, 0x664093c3, 0xb300ded2,
-    0x663ccc12, 0xb2fbd9f9,
-  0x66390422, 0xb2f6d550, 0x66353bf3, 0xb2f1d0d6, 0x66317385, 0xb2eccc8c,
-    0x662daad8, 0xb2e7c871,
-  0x6629e1ec, 0xb2e2c486, 0x662618c1, 0xb2ddc0ca, 0x66224f56, 0xb2d8bd3e,
-    0x661e85ad, 0xb2d3b9e2,
-  0x661abbc5, 0xb2ceb6b5, 0x6616f19e, 0xb2c9b3b8, 0x66132738, 0xb2c4b0ea,
-    0x660f5c93, 0xb2bfae4c,
-  0x660b91af, 0xb2baabde, 0x6607c68c, 0xb2b5a99f, 0x6603fb2a, 0xb2b0a790,
-    0x66002f89, 0xb2aba5b1,
-  0x65fc63a9, 0xb2a6a402, 0x65f8978b, 0xb2a1a282, 0x65f4cb2d, 0xb29ca132,
-    0x65f0fe91, 0xb297a011,
-  0x65ed31b5, 0xb2929f21, 0x65e9649b, 0xb28d9e60, 0x65e59742, 0xb2889dcf,
-    0x65e1c9aa, 0xb2839d6d,
-  0x65ddfbd3, 0xb27e9d3c, 0x65da2dbd, 0xb2799d3a, 0x65d65f69, 0xb2749d68,
-    0x65d290d6, 0xb26f9dc6,
-  0x65cec204, 0xb26a9e54, 0x65caf2f3, 0xb2659f12, 0x65c723a3, 0xb2609fff,
-    0x65c35415, 0xb25ba11d,
-  0x65bf8447, 0xb256a26a, 0x65bbb43b, 0xb251a3e7, 0x65b7e3f1, 0xb24ca594,
-    0x65b41367, 0xb247a771,
-  0x65b0429f, 0xb242a97e, 0x65ac7198, 0xb23dabbb, 0x65a8a052, 0xb238ae28,
-    0x65a4cece, 0xb233b0c5,
-  0x65a0fd0b, 0xb22eb392, 0x659d2b09, 0xb229b68f, 0x659958c9, 0xb224b9bc,
-    0x6595864a, 0xb21fbd19,
-  0x6591b38c, 0xb21ac0a6, 0x658de08f, 0xb215c463, 0x658a0d54, 0xb210c850,
-    0x658639db, 0xb20bcc6d,
-  0x65826622, 0xb206d0ba, 0x657e922b, 0xb201d537, 0x657abdf6, 0xb1fcd9e5,
-    0x6576e982, 0xb1f7dec2,
-  0x657314cf, 0xb1f2e3d0, 0x656f3fde, 0xb1ede90e, 0x656b6aae, 0xb1e8ee7c,
-    0x6567953f, 0xb1e3f41a,
-  0x6563bf92, 0xb1def9e9, 0x655fe9a7, 0xb1d9ffe7, 0x655c137d, 0xb1d50616,
-    0x65583d14, 0xb1d00c75,
-  0x6554666d, 0xb1cb1304, 0x65508f87, 0xb1c619c3, 0x654cb863, 0xb1c120b3,
-    0x6548e101, 0xb1bc27d3,
-  0x6545095f, 0xb1b72f23, 0x65413180, 0xb1b236a4, 0x653d5962, 0xb1ad3e55,
-    0x65398105, 0xb1a84636,
-  0x6535a86b, 0xb1a34e47, 0x6531cf91, 0xb19e5689, 0x652df679, 0xb1995efb,
-    0x652a1d23, 0xb194679e,
-  0x6526438f, 0xb18f7071, 0x652269bc, 0xb18a7974, 0x651e8faa, 0xb18582a8,
-    0x651ab55b, 0xb1808c0c,
-  0x6516dacd, 0xb17b95a0, 0x65130000, 0xb1769f65, 0x650f24f5, 0xb171a95b,
-    0x650b49ac, 0xb16cb380,
-  0x65076e25, 0xb167bdd7, 0x6503925f, 0xb162c85d, 0x64ffb65b, 0xb15dd315,
-    0x64fbda18, 0xb158ddfd,
-  0x64f7fd98, 0xb153e915, 0x64f420d9, 0xb14ef45e, 0x64f043dc, 0xb149ffd7,
-    0x64ec66a0, 0xb1450b81,
-  0x64e88926, 0xb140175b, 0x64e4ab6e, 0xb13b2367, 0x64e0cd78, 0xb1362fa2,
-    0x64dcef44, 0xb1313c0e,
-  0x64d910d1, 0xb12c48ab, 0x64d53220, 0xb1275579, 0x64d15331, 0xb1226277,
-    0x64cd7404, 0xb11d6fa6,
-  0x64c99498, 0xb1187d05, 0x64c5b4ef, 0xb1138a95, 0x64c1d507, 0xb10e9856,
-    0x64bdf4e1, 0xb109a648,
-  0x64ba147d, 0xb104b46a, 0x64b633da, 0xb0ffc2bd, 0x64b252fa, 0xb0fad140,
-    0x64ae71dc, 0xb0f5dff5,
-  0x64aa907f, 0xb0f0eeda, 0x64a6aee4, 0xb0ebfdf0, 0x64a2cd0c, 0xb0e70d37,
-    0x649eeaf5, 0xb0e21cae,
-  0x649b08a0, 0xb0dd2c56, 0x6497260d, 0xb0d83c2f, 0x6493433c, 0xb0d34c39,
-    0x648f602d, 0xb0ce5c74,
-  0x648b7ce0, 0xb0c96ce0, 0x64879955, 0xb0c47d7c, 0x6483b58c, 0xb0bf8e4a,
-    0x647fd185, 0xb0ba9f48,
-  0x647bed3f, 0xb0b5b077, 0x647808bc, 0xb0b0c1d7, 0x647423fb, 0xb0abd368,
-    0x64703efc, 0xb0a6e52a,
-  0x646c59bf, 0xb0a1f71d, 0x64687444, 0xb09d0941, 0x64648e8c, 0xb0981b96,
-    0x6460a895, 0xb0932e1b,
-  0x645cc260, 0xb08e40d2, 0x6458dbed, 0xb08953ba, 0x6454f53d, 0xb08466d3,
-    0x64510e4e, 0xb07f7a1c,
-  0x644d2722, 0xb07a8d97, 0x64493fb8, 0xb075a143, 0x64455810, 0xb070b520,
-    0x6441702a, 0xb06bc92e,
-  0x643d8806, 0xb066dd6d, 0x64399fa5, 0xb061f1de, 0x6435b706, 0xb05d067f,
-    0x6431ce28, 0xb0581b51,
-  0x642de50d, 0xb0533055, 0x6429fbb5, 0xb04e458a, 0x6426121e, 0xb0495af0,
-    0x6422284a, 0xb0447087,
-  0x641e3e38, 0xb03f864f, 0x641a53e8, 0xb03a9c49, 0x6416695a, 0xb035b273,
-    0x64127e8f, 0xb030c8cf,
-  0x640e9386, 0xb02bdf5c, 0x640aa83f, 0xb026f61b, 0x6406bcba, 0xb0220d0a,
-    0x6402d0f8, 0xb01d242b,
-  0x63fee4f8, 0xb0183b7d, 0x63faf8bb, 0xb0135301, 0x63f70c3f, 0xb00e6ab5,
-    0x63f31f86, 0xb009829c,
-  0x63ef3290, 0xb0049ab3, 0x63eb455c, 0xafffb2fc, 0x63e757ea, 0xaffacb76,
-    0x63e36a3a, 0xaff5e421,
-  0x63df7c4d, 0xaff0fcfe, 0x63db8e22, 0xafec160c, 0x63d79fba, 0xafe72f4c,
-    0x63d3b114, 0xafe248bd,
-  0x63cfc231, 0xafdd625f, 0x63cbd310, 0xafd87c33, 0x63c7e3b1, 0xafd39638,
-    0x63c3f415, 0xafceb06f,
-  0x63c0043b, 0xafc9cad7, 0x63bc1424, 0xafc4e571, 0x63b823cf, 0xafc0003c,
-    0x63b4333d, 0xafbb1b39,
-  0x63b0426d, 0xafb63667, 0x63ac5160, 0xafb151c7, 0x63a86015, 0xafac6d58,
-    0x63a46e8d, 0xafa7891b,
-  0x63a07cc7, 0xafa2a50f, 0x639c8ac4, 0xaf9dc135, 0x63989884, 0xaf98dd8d,
-    0x6394a606, 0xaf93fa16,
-  0x6390b34a, 0xaf8f16d1, 0x638cc051, 0xaf8a33bd, 0x6388cd1b, 0xaf8550db,
-    0x6384d9a7, 0xaf806e2b,
-  0x6380e5f6, 0xaf7b8bac, 0x637cf208, 0xaf76a95f, 0x6378fddc, 0xaf71c743,
-    0x63750973, 0xaf6ce55a,
-  0x637114cc, 0xaf6803a2, 0x636d1fe9, 0xaf63221c, 0x63692ac7, 0xaf5e40c7,
-    0x63653569, 0xaf595fa4,
-  0x63613fcd, 0xaf547eb3, 0x635d49f4, 0xaf4f9df4, 0x635953dd, 0xaf4abd66,
-    0x63555d8a, 0xaf45dd0b,
-  0x635166f9, 0xaf40fce1, 0x634d702b, 0xaf3c1ce9, 0x6349791f, 0xaf373d22,
-    0x634581d6, 0xaf325d8e,
-  0x63418a50, 0xaf2d7e2b, 0x633d928d, 0xaf289efa, 0x63399a8d, 0xaf23bffb,
-    0x6335a24f, 0xaf1ee12e,
-  0x6331a9d4, 0xaf1a0293, 0x632db11c, 0xaf15242a, 0x6329b827, 0xaf1045f3,
-    0x6325bef5, 0xaf0b67ed,
-  0x6321c585, 0xaf068a1a, 0x631dcbd9, 0xaf01ac78, 0x6319d1ef, 0xaefccf09,
-    0x6315d7c8, 0xaef7f1cb,
-  0x6311dd64, 0xaef314c0, 0x630de2c3, 0xaeee37e6, 0x6309e7e4, 0xaee95b3f,
-    0x6305ecc9, 0xaee47ec9,
-  0x6301f171, 0xaedfa285, 0x62fdf5db, 0xaedac674, 0x62f9fa09, 0xaed5ea95,
-    0x62f5fdf9, 0xaed10ee7,
-  0x62f201ac, 0xaecc336c, 0x62ee0523, 0xaec75823, 0x62ea085c, 0xaec27d0c,
-    0x62e60b58, 0xaebda227,
-  0x62e20e17, 0xaeb8c774, 0x62de109a, 0xaeb3ecf3, 0x62da12df, 0xaeaf12a4,
-    0x62d614e7, 0xaeaa3888,
-  0x62d216b3, 0xaea55e9e, 0x62ce1841, 0xaea084e6, 0x62ca1992, 0xae9bab60,
-    0x62c61aa7, 0xae96d20c,
-  0x62c21b7e, 0xae91f8eb, 0x62be1c19, 0xae8d1ffb, 0x62ba1c77, 0xae88473e,
-    0x62b61c98, 0xae836eb4,
-  0x62b21c7b, 0xae7e965b, 0x62ae1c23, 0xae79be35, 0x62aa1b8d, 0xae74e641,
-    0x62a61aba, 0xae700e80,
-  0x62a219aa, 0xae6b36f0, 0x629e185e, 0xae665f93, 0x629a16d5, 0xae618869,
-    0x6296150f, 0xae5cb171,
-  0x6292130c, 0xae57daab, 0x628e10cc, 0xae530417, 0x628a0e50, 0xae4e2db6,
-    0x62860b97, 0xae495787,
-  0x628208a1, 0xae44818b, 0x627e056e, 0xae3fabc1, 0x627a01fe, 0xae3ad629,
-    0x6275fe52, 0xae3600c4,
-  0x6271fa69, 0xae312b92, 0x626df643, 0xae2c5691, 0x6269f1e1, 0xae2781c4,
-    0x6265ed42, 0xae22ad29,
-  0x6261e866, 0xae1dd8c0, 0x625de34e, 0xae19048a, 0x6259ddf8, 0xae143086,
-    0x6255d866, 0xae0f5cb5,
-  0x6251d298, 0xae0a8916, 0x624dcc8d, 0xae05b5aa, 0x6249c645, 0xae00e271,
-    0x6245bfc0, 0xadfc0f6a,
-  0x6241b8ff, 0xadf73c96, 0x623db202, 0xadf269f4, 0x6239aac7, 0xaded9785,
-    0x6235a351, 0xade8c548,
-  0x62319b9d, 0xade3f33e, 0x622d93ad, 0xaddf2167, 0x62298b81, 0xadda4fc3,
-    0x62258317, 0xadd57e51,
-  0x62217a72, 0xadd0ad12, 0x621d7190, 0xadcbdc05, 0x62196871, 0xadc70b2c,
-    0x62155f16, 0xadc23a85,
-  0x6211557e, 0xadbd6a10, 0x620d4baa, 0xadb899cf, 0x62094199, 0xadb3c9c0,
-    0x6205374c, 0xadaef9e4,
-  0x62012cc2, 0xadaa2a3b, 0x61fd21fc, 0xada55ac4, 0x61f916f9, 0xada08b80,
-    0x61f50bba, 0xad9bbc70,
-  0x61f1003f, 0xad96ed92, 0x61ecf487, 0xad921ee6, 0x61e8e893, 0xad8d506e,
-    0x61e4dc62, 0xad888229,
-  0x61e0cff5, 0xad83b416, 0x61dcc34c, 0xad7ee636, 0x61d8b666, 0xad7a1889,
-    0x61d4a944, 0xad754b0f,
-  0x61d09be5, 0xad707dc8, 0x61cc8e4b, 0xad6bb0b4, 0x61c88074, 0xad66e3d3,
-    0x61c47260, 0xad621725,
-  0x61c06410, 0xad5d4aaa, 0x61bc5584, 0xad587e61, 0x61b846bc, 0xad53b24c,
-    0x61b437b7, 0xad4ee66a,
-  0x61b02876, 0xad4a1aba, 0x61ac18f9, 0xad454f3e, 0x61a80940, 0xad4083f5,
-    0x61a3f94a, 0xad3bb8df,
-  0x619fe918, 0xad36edfc, 0x619bd8aa, 0xad32234b, 0x6197c800, 0xad2d58ce,
-    0x6193b719, 0xad288e85,
-  0x618fa5f7, 0xad23c46e, 0x618b9498, 0xad1efa8a, 0x618782fd, 0xad1a30d9,
-    0x61837126, 0xad15675c,
-  0x617f5f12, 0xad109e12, 0x617b4cc3, 0xad0bd4fb, 0x61773a37, 0xad070c17,
-    0x61732770, 0xad024366,
-  0x616f146c, 0xacfd7ae8, 0x616b012c, 0xacf8b29e, 0x6166edb0, 0xacf3ea87,
-    0x6162d9f8, 0xacef22a3,
-  0x615ec603, 0xacea5af2, 0x615ab1d3, 0xace59375, 0x61569d67, 0xace0cc2b,
-    0x615288be, 0xacdc0514,
-  0x614e73da, 0xacd73e30, 0x614a5eba, 0xacd27780, 0x6146495d, 0xaccdb103,
-    0x614233c5, 0xacc8eab9,
-  0x613e1df0, 0xacc424a3, 0x613a07e0, 0xacbf5ec0, 0x6135f193, 0xacba9910,
-    0x6131db0b, 0xacb5d394,
-  0x612dc447, 0xacb10e4b, 0x6129ad46, 0xacac4935, 0x6125960a, 0xaca78453,
-    0x61217e92, 0xaca2bfa4,
-  0x611d66de, 0xac9dfb29, 0x61194eee, 0xac9936e1, 0x611536c2, 0xac9472cd,
-    0x61111e5b, 0xac8faeec,
-  0x610d05b7, 0xac8aeb3e, 0x6108ecd8, 0xac8627c4, 0x6104d3bc, 0xac81647e,
-    0x6100ba65, 0xac7ca16b,
-  0x60fca0d2, 0xac77de8b, 0x60f88703, 0xac731bdf, 0x60f46cf9, 0xac6e5967,
-    0x60f052b2, 0xac699722,
-  0x60ec3830, 0xac64d510, 0x60e81d72, 0xac601333, 0x60e40278, 0xac5b5189,
-    0x60dfe743, 0xac569012,
-  0x60dbcbd1, 0xac51cecf, 0x60d7b024, 0xac4d0dc0, 0x60d3943b, 0xac484ce4,
-    0x60cf7817, 0xac438c3c,
-  0x60cb5bb7, 0xac3ecbc7, 0x60c73f1b, 0xac3a0b87, 0x60c32243, 0xac354b7a,
-    0x60bf0530, 0xac308ba0,
-  0x60bae7e1, 0xac2bcbfa, 0x60b6ca56, 0xac270c88, 0x60b2ac8f, 0xac224d4a,
-    0x60ae8e8d, 0xac1d8e40,
-  0x60aa7050, 0xac18cf69, 0x60a651d7, 0xac1410c6, 0x60a23322, 0xac0f5256,
-    0x609e1431, 0xac0a941b,
-  0x6099f505, 0xac05d613, 0x6095d59d, 0xac01183f, 0x6091b5fa, 0xabfc5a9f,
-    0x608d961b, 0xabf79d33,
-  0x60897601, 0xabf2dffb, 0x608555ab, 0xabee22f6, 0x60813519, 0xabe96625,
-    0x607d144c, 0xabe4a988,
-  0x6078f344, 0xabdfed1f, 0x6074d200, 0xabdb30ea, 0x6070b080, 0xabd674e9,
-    0x606c8ec5, 0xabd1b91c,
-  0x60686ccf, 0xabccfd83, 0x60644a9d, 0xabc8421d, 0x6060282f, 0xabc386ec,
-    0x605c0587, 0xabbecbee,
-  0x6057e2a2, 0xabba1125, 0x6053bf82, 0xabb5568f, 0x604f9c27, 0xabb09c2e,
-    0x604b7891, 0xababe200,
-  0x604754bf, 0xaba72807, 0x604330b1, 0xaba26e41, 0x603f0c69, 0xab9db4b0,
-    0x603ae7e5, 0xab98fb52,
-  0x6036c325, 0xab944229, 0x60329e2a, 0xab8f8934, 0x602e78f4, 0xab8ad073,
-    0x602a5383, 0xab8617e6,
-  0x60262dd6, 0xab815f8d, 0x602207ee, 0xab7ca768, 0x601de1ca, 0xab77ef77,
-    0x6019bb6b, 0xab7337bb,
-  0x601594d1, 0xab6e8032, 0x60116dfc, 0xab69c8de, 0x600d46ec, 0xab6511be,
-    0x60091fa0, 0xab605ad2,
-  0x6004f819, 0xab5ba41a, 0x6000d057, 0xab56ed97, 0x5ffca859, 0xab523748,
-    0x5ff88021, 0xab4d812d,
-  0x5ff457ad, 0xab48cb46, 0x5ff02efe, 0xab441593, 0x5fec0613, 0xab3f6015,
-    0x5fe7dcee, 0xab3aaacb,
-  0x5fe3b38d, 0xab35f5b5, 0x5fdf89f2, 0xab3140d4, 0x5fdb601b, 0xab2c8c27,
-    0x5fd73609, 0xab27d7ae,
-  0x5fd30bbc, 0xab23236a, 0x5fcee133, 0xab1e6f5a, 0x5fcab670, 0xab19bb7e,
-    0x5fc68b72, 0xab1507d7,
-  0x5fc26038, 0xab105464, 0x5fbe34c4, 0xab0ba125, 0x5fba0914, 0xab06ee1b,
-    0x5fb5dd29, 0xab023b46,
-  0x5fb1b104, 0xaafd88a4, 0x5fad84a3, 0xaaf8d637, 0x5fa95807, 0xaaf423ff,
-    0x5fa52b31, 0xaaef71fb,
-  0x5fa0fe1f, 0xaaeac02c, 0x5f9cd0d2, 0xaae60e91, 0x5f98a34a, 0xaae15d2a,
-    0x5f947588, 0xaadcabf8,
-  0x5f90478a, 0xaad7fafb, 0x5f8c1951, 0xaad34a32, 0x5f87eade, 0xaace999d,
-    0x5f83bc2f, 0xaac9e93e,
-  0x5f7f8d46, 0xaac53912, 0x5f7b5e22, 0xaac0891c, 0x5f772ec2, 0xaabbd959,
-    0x5f72ff28, 0xaab729cc,
-  0x5f6ecf53, 0xaab27a73, 0x5f6a9f44, 0xaaadcb4f, 0x5f666ef9, 0xaaa91c5f,
-    0x5f623e73, 0xaaa46da4,
-  0x5f5e0db3, 0xaa9fbf1e, 0x5f59dcb8, 0xaa9b10cc, 0x5f55ab82, 0xaa9662af,
-    0x5f517a11, 0xaa91b4c7,
-  0x5f4d4865, 0xaa8d0713, 0x5f49167f, 0xaa885994, 0x5f44e45e, 0xaa83ac4a,
-    0x5f40b202, 0xaa7eff34,
-  0x5f3c7f6b, 0xaa7a5253, 0x5f384c9a, 0xaa75a5a8, 0x5f34198e, 0xaa70f930,
-    0x5f2fe647, 0xaa6c4cee,
-  0x5f2bb2c5, 0xaa67a0e0, 0x5f277f09, 0xaa62f507, 0x5f234b12, 0xaa5e4963,
-    0x5f1f16e0, 0xaa599df4,
-  0x5f1ae274, 0xaa54f2ba, 0x5f16adcc, 0xaa5047b4, 0x5f1278eb, 0xaa4b9ce3,
-    0x5f0e43ce, 0xaa46f248,
-  0x5f0a0e77, 0xaa4247e1, 0x5f05d8e6, 0xaa3d9daf, 0x5f01a31a, 0xaa38f3b1,
-    0x5efd6d13, 0xaa3449e9,
-  0x5ef936d1, 0xaa2fa056, 0x5ef50055, 0xaa2af6f7, 0x5ef0c99f, 0xaa264dce,
-    0x5eec92ae, 0xaa21a4d9,
-  0x5ee85b82, 0xaa1cfc1a, 0x5ee4241c, 0xaa18538f, 0x5edfec7b, 0xaa13ab3a,
-    0x5edbb49f, 0xaa0f0319,
-  0x5ed77c8a, 0xaa0a5b2e, 0x5ed34439, 0xaa05b377, 0x5ecf0baf, 0xaa010bf6,
-    0x5ecad2e9, 0xa9fc64a9,
-  0x5ec699e9, 0xa9f7bd92, 0x5ec260af, 0xa9f316b0, 0x5ebe273b, 0xa9ee7002,
-    0x5eb9ed8b, 0xa9e9c98a,
-  0x5eb5b3a2, 0xa9e52347, 0x5eb1797e, 0xa9e07d39, 0x5ead3f1f, 0xa9dbd761,
-    0x5ea90487, 0xa9d731bd,
-  0x5ea4c9b3, 0xa9d28c4e, 0x5ea08ea6, 0xa9cde715, 0x5e9c535e, 0xa9c94211,
-    0x5e9817dc, 0xa9c49d42,
-  0x5e93dc1f, 0xa9bff8a8, 0x5e8fa028, 0xa9bb5444, 0x5e8b63f7, 0xa9b6b014,
-    0x5e87278b, 0xa9b20c1a,
-  0x5e82eae5, 0xa9ad6855, 0x5e7eae05, 0xa9a8c4c5, 0x5e7a70ea, 0xa9a4216b,
-    0x5e763395, 0xa99f7e46,
-  0x5e71f606, 0xa99adb56, 0x5e6db83d, 0xa996389b, 0x5e697a39, 0xa9919616,
-    0x5e653bfc, 0xa98cf3c6,
-  0x5e60fd84, 0xa98851ac, 0x5e5cbed1, 0xa983afc6, 0x5e587fe5, 0xa97f0e16,
-    0x5e5440be, 0xa97a6c9c,
-  0x5e50015d, 0xa975cb57, 0x5e4bc1c2, 0xa9712a47, 0x5e4781ed, 0xa96c896c,
-    0x5e4341de, 0xa967e8c7,
-  0x5e3f0194, 0xa9634858, 0x5e3ac110, 0xa95ea81d, 0x5e368053, 0xa95a0819,
-    0x5e323f5b, 0xa9556849,
-  0x5e2dfe29, 0xa950c8b0, 0x5e29bcbd, 0xa94c294b, 0x5e257b17, 0xa9478a1c,
-    0x5e213936, 0xa942eb23,
-  0x5e1cf71c, 0xa93e4c5f, 0x5e18b4c8, 0xa939add1, 0x5e147239, 0xa9350f78,
-    0x5e102f71, 0xa9307155,
-  0x5e0bec6e, 0xa92bd367, 0x5e07a932, 0xa92735af, 0x5e0365bb, 0xa922982c,
-    0x5dff220b, 0xa91dfadf,
-  0x5dfade20, 0xa9195dc7, 0x5df699fc, 0xa914c0e6, 0x5df2559e, 0xa9102439,
-    0x5dee1105, 0xa90b87c3,
-  0x5de9cc33, 0xa906eb82, 0x5de58727, 0xa9024f76, 0x5de141e1, 0xa8fdb3a1,
-    0x5ddcfc61, 0xa8f91801,
-  0x5dd8b6a7, 0xa8f47c97, 0x5dd470b3, 0xa8efe162, 0x5dd02a85, 0xa8eb4663,
-    0x5dcbe41d, 0xa8e6ab9a,
-  0x5dc79d7c, 0xa8e21106, 0x5dc356a1, 0xa8dd76a9, 0x5dbf0f8c, 0xa8d8dc81,
-    0x5dbac83d, 0xa8d4428f,
-  0x5db680b4, 0xa8cfa8d2, 0x5db238f1, 0xa8cb0f4b, 0x5dadf0f5, 0xa8c675fb,
-    0x5da9a8bf, 0xa8c1dce0,
-  0x5da5604f, 0xa8bd43fa, 0x5da117a5, 0xa8b8ab4b, 0x5d9ccec2, 0xa8b412d1,
-    0x5d9885a5, 0xa8af7a8e,
-  0x5d943c4e, 0xa8aae280, 0x5d8ff2bd, 0xa8a64aa8, 0x5d8ba8f3, 0xa8a1b306,
-    0x5d875eef, 0xa89d1b99,
-  0x5d8314b1, 0xa8988463, 0x5d7eca39, 0xa893ed63, 0x5d7a7f88, 0xa88f5698,
-    0x5d76349d, 0xa88ac004,
-  0x5d71e979, 0xa88629a5, 0x5d6d9e1b, 0xa881937c, 0x5d695283, 0xa87cfd8a,
-    0x5d6506b2, 0xa87867cd,
-  0x5d60baa7, 0xa873d246, 0x5d5c6e62, 0xa86f3cf6, 0x5d5821e4, 0xa86aa7db,
-    0x5d53d52d, 0xa86612f6,
-  0x5d4f883b, 0xa8617e48, 0x5d4b3b10, 0xa85ce9cf, 0x5d46edac, 0xa858558d,
-    0x5d42a00e, 0xa853c180,
-  0x5d3e5237, 0xa84f2daa, 0x5d3a0426, 0xa84a9a0a, 0x5d35b5db, 0xa84606a0,
-    0x5d316757, 0xa841736c,
-  0x5d2d189a, 0xa83ce06e, 0x5d28c9a3, 0xa8384da6, 0x5d247a72, 0xa833bb14,
-    0x5d202b09, 0xa82f28b9,
-  0x5d1bdb65, 0xa82a9693, 0x5d178b89, 0xa82604a4, 0x5d133b72, 0xa82172eb,
-    0x5d0eeb23, 0xa81ce169,
-  0x5d0a9a9a, 0xa818501c, 0x5d0649d7, 0xa813bf06, 0x5d01f8dc, 0xa80f2e26,
-    0x5cfda7a7, 0xa80a9d7c,
-  0x5cf95638, 0xa8060d08, 0x5cf50490, 0xa8017ccb, 0x5cf0b2af, 0xa7fcecc4,
-    0x5cec6095, 0xa7f85cf3,
-  0x5ce80e41, 0xa7f3cd59, 0x5ce3bbb4, 0xa7ef3df5, 0x5cdf68ed, 0xa7eaaec7,
-    0x5cdb15ed, 0xa7e61fd0,
-  0x5cd6c2b5, 0xa7e1910f, 0x5cd26f42, 0xa7dd0284, 0x5cce1b97, 0xa7d8742f,
-    0x5cc9c7b2, 0xa7d3e611,
-  0x5cc57394, 0xa7cf582a, 0x5cc11f3d, 0xa7caca79, 0x5cbccaac, 0xa7c63cfe,
-    0x5cb875e3, 0xa7c1afb9,
-  0x5cb420e0, 0xa7bd22ac, 0x5cafcba4, 0xa7b895d4, 0x5cab762f, 0xa7b40933,
-    0x5ca72080, 0xa7af7cc8,
-  0x5ca2ca99, 0xa7aaf094, 0x5c9e7478, 0xa7a66497, 0x5c9a1e1e, 0xa7a1d8d0,
-    0x5c95c78b, 0xa79d4d3f,
-  0x5c9170bf, 0xa798c1e5, 0x5c8d19ba, 0xa79436c1, 0x5c88c27c, 0xa78fabd4,
-    0x5c846b05, 0xa78b211e,
-  0x5c801354, 0xa786969e, 0x5c7bbb6b, 0xa7820c55, 0x5c776348, 0xa77d8242,
-    0x5c730aed, 0xa778f866,
-  0x5c6eb258, 0xa7746ec0, 0x5c6a598b, 0xa76fe551, 0x5c660084, 0xa76b5c19,
-    0x5c61a745, 0xa766d317,
-  0x5c5d4dcc, 0xa7624a4d, 0x5c58f41a, 0xa75dc1b8, 0x5c549a30, 0xa759395b,
-    0x5c50400d, 0xa754b134,
-  0x5c4be5b0, 0xa7502943, 0x5c478b1b, 0xa74ba18a, 0x5c43304d, 0xa7471a07,
-    0x5c3ed545, 0xa74292bb,
-  0x5c3a7a05, 0xa73e0ba5, 0x5c361e8c, 0xa73984c7, 0x5c31c2db, 0xa734fe1f,
-    0x5c2d66f0, 0xa73077ae,
-  0x5c290acc, 0xa72bf174, 0x5c24ae70, 0xa7276b70, 0x5c2051db, 0xa722e5a3,
-    0x5c1bf50d, 0xa71e600d,
-  0x5c179806, 0xa719daae, 0x5c133ac6, 0xa7155586, 0x5c0edd4e, 0xa710d095,
-    0x5c0a7f9c, 0xa70c4bda,
-  0x5c0621b2, 0xa707c757, 0x5c01c38f, 0xa703430a, 0x5bfd6534, 0xa6febef4,
-    0x5bf906a0, 0xa6fa3b15,
-  0x5bf4a7d2, 0xa6f5b76d, 0x5bf048cd, 0xa6f133fc, 0x5bebe98e, 0xa6ecb0c2,
-    0x5be78a17, 0xa6e82dbe,
-  0x5be32a67, 0xa6e3aaf2, 0x5bdeca7f, 0xa6df285d, 0x5bda6a5d, 0xa6daa5fe,
-    0x5bd60a03, 0xa6d623d7,
-  0x5bd1a971, 0xa6d1a1e7, 0x5bcd48a6, 0xa6cd202d, 0x5bc8e7a2, 0xa6c89eab,
-    0x5bc48666, 0xa6c41d60,
-  0x5bc024f0, 0xa6bf9c4b, 0x5bbbc343, 0xa6bb1b6e, 0x5bb7615d, 0xa6b69ac8,
-    0x5bb2ff3e, 0xa6b21a59,
-  0x5bae9ce7, 0xa6ad9a21, 0x5baa3a57, 0xa6a91a20, 0x5ba5d78e, 0xa6a49a56,
-    0x5ba1748d, 0xa6a01ac4,
-  0x5b9d1154, 0xa69b9b68, 0x5b98ade2, 0xa6971c44, 0x5b944a37, 0xa6929d57,
-    0x5b8fe654, 0xa68e1ea1,
-  0x5b8b8239, 0xa689a022, 0x5b871de5, 0xa68521da, 0x5b82b958, 0xa680a3ca,
-    0x5b7e5493, 0xa67c25f0,
-  0x5b79ef96, 0xa677a84e, 0x5b758a60, 0xa6732ae3, 0x5b7124f2, 0xa66eadb0,
-    0x5b6cbf4c, 0xa66a30b3,
-  0x5b68596d, 0xa665b3ee, 0x5b63f355, 0xa6613760, 0x5b5f8d06, 0xa65cbb0a,
-    0x5b5b267e, 0xa6583eeb,
-  0x5b56bfbd, 0xa653c303, 0x5b5258c4, 0xa64f4752, 0x5b4df193, 0xa64acbd9,
-    0x5b498a2a, 0xa6465097,
-  0x5b452288, 0xa641d58c, 0x5b40baae, 0xa63d5ab9, 0x5b3c529c, 0xa638e01d,
-    0x5b37ea51, 0xa63465b9,
-  0x5b3381ce, 0xa62feb8b, 0x5b2f1913, 0xa62b7196, 0x5b2ab020, 0xa626f7d7,
-    0x5b2646f4, 0xa6227e50,
-  0x5b21dd90, 0xa61e0501, 0x5b1d73f4, 0xa6198be9, 0x5b190a20, 0xa6151308,
-    0x5b14a014, 0xa6109a5f,
-  0x5b1035cf, 0xa60c21ee, 0x5b0bcb52, 0xa607a9b4, 0x5b07609d, 0xa60331b1,
-    0x5b02f5b0, 0xa5feb9e6,
-  0x5afe8a8b, 0xa5fa4252, 0x5afa1f2e, 0xa5f5caf6, 0x5af5b398, 0xa5f153d2,
-    0x5af147ca, 0xa5ecdce5,
-  0x5aecdbc5, 0xa5e8662f, 0x5ae86f87, 0xa5e3efb1, 0x5ae40311, 0xa5df796b,
-    0x5adf9663, 0xa5db035c,
-  0x5adb297d, 0xa5d68d85, 0x5ad6bc5f, 0xa5d217e6, 0x5ad24f09, 0xa5cda27e,
-    0x5acde17b, 0xa5c92d4e,
-  0x5ac973b5, 0xa5c4b855, 0x5ac505b7, 0xa5c04395, 0x5ac09781, 0xa5bbcf0b,
-    0x5abc2912, 0xa5b75aba,
-  0x5ab7ba6c, 0xa5b2e6a0, 0x5ab34b8e, 0xa5ae72be, 0x5aaedc78, 0xa5a9ff14,
-    0x5aaa6d2b, 0xa5a58ba1,
-  0x5aa5fda5, 0xa5a11866, 0x5aa18de7, 0xa59ca563, 0x5a9d1df1, 0xa5983297,
-    0x5a98adc4, 0xa593c004,
-  0x5a943d5e, 0xa58f4da8, 0x5a8fccc1, 0xa58adb84, 0x5a8b5bec, 0xa5866997,
-    0x5a86eadf, 0xa581f7e3,
-  0x5a82799a, 0xa57d8666, 0x5a7e081d, 0xa5791521, 0x5a799669, 0xa574a414,
-    0x5a75247c, 0xa570333f,
-  0x5a70b258, 0xa56bc2a2, 0x5a6c3ffc, 0xa567523c, 0x5a67cd69, 0xa562e20f,
-    0x5a635a9d, 0xa55e7219,
-  0x5a5ee79a, 0xa55a025b, 0x5a5a745f, 0xa55592d5, 0x5a5600ec, 0xa5512388,
-    0x5a518d42, 0xa54cb472,
-  0x5a4d1960, 0xa5484594, 0x5a48a546, 0xa543d6ee, 0x5a4430f5, 0xa53f687f,
-    0x5a3fbc6b, 0xa53afa49,
-  0x5a3b47ab, 0xa5368c4b, 0x5a36d2b2, 0xa5321e85, 0x5a325d82, 0xa52db0f7,
-    0x5a2de81a, 0xa52943a1,
-  0x5a29727b, 0xa524d683, 0x5a24fca4, 0xa520699d, 0x5a208695, 0xa51bfcef,
-    0x5a1c104f, 0xa5179079,
-  0x5a1799d1, 0xa513243b, 0x5a13231b, 0xa50eb836, 0x5a0eac2e, 0xa50a4c68,
-    0x5a0a350a, 0xa505e0d2,
-  0x5a05bdae, 0xa5017575, 0x5a01461a, 0xa4fd0a50, 0x59fcce4f, 0xa4f89f63,
-    0x59f8564c, 0xa4f434ae,
-  0x59f3de12, 0xa4efca31, 0x59ef65a1, 0xa4eb5fec, 0x59eaecf8, 0xa4e6f5e0,
-    0x59e67417, 0xa4e28c0c,
-  0x59e1faff, 0xa4de2270, 0x59dd81b0, 0xa4d9b90c, 0x59d90829, 0xa4d54fe0,
-    0x59d48e6a, 0xa4d0e6ed,
-  0x59d01475, 0xa4cc7e32, 0x59cb9a47, 0xa4c815af, 0x59c71fe3, 0xa4c3ad64,
-    0x59c2a547, 0xa4bf4552,
-  0x59be2a74, 0xa4badd78, 0x59b9af69, 0xa4b675d6, 0x59b53427, 0xa4b20e6d,
-    0x59b0b8ae, 0xa4ada73c,
-  0x59ac3cfd, 0xa4a94043, 0x59a7c115, 0xa4a4d982, 0x59a344f6, 0xa4a072fa,
-    0x599ec8a0, 0xa49c0cab,
-  0x599a4c12, 0xa497a693, 0x5995cf4d, 0xa49340b4, 0x59915250, 0xa48edb0e,
-    0x598cd51d, 0xa48a75a0,
-  0x598857b2, 0xa486106a, 0x5983da10, 0xa481ab6d, 0x597f5c36, 0xa47d46a8,
-    0x597ade26, 0xa478e21b,
-  0x59765fde, 0xa4747dc7, 0x5971e15f, 0xa47019ac, 0x596d62a9, 0xa46bb5c9,
-    0x5968e3bc, 0xa467521e,
-  0x59646498, 0xa462eeac, 0x595fe53c, 0xa45e8b73, 0x595b65aa, 0xa45a2872,
-    0x5956e5e0, 0xa455c5a9,
-  0x595265df, 0xa4516319, 0x594de5a7, 0xa44d00c2, 0x59496538, 0xa4489ea3,
-    0x5944e492, 0xa4443cbd,
-  0x594063b5, 0xa43fdb10, 0x593be2a0, 0xa43b799a, 0x59376155, 0xa437185e,
-    0x5932dfd3, 0xa432b75a,
-  0x592e5e19, 0xa42e568f, 0x5929dc29, 0xa429f5fd, 0x59255a02, 0xa42595a3,
-    0x5920d7a3, 0xa4213581,
-  0x591c550e, 0xa41cd599, 0x5917d242, 0xa41875e9, 0x59134f3e, 0xa4141672,
-    0x590ecc04, 0xa40fb733,
-  0x590a4893, 0xa40b582e, 0x5905c4eb, 0xa406f960, 0x5901410c, 0xa4029acc,
-    0x58fcbcf6, 0xa3fe3c71,
-  0x58f838a9, 0xa3f9de4e, 0x58f3b426, 0xa3f58064, 0x58ef2f6b, 0xa3f122b2,
-    0x58eaaa7a, 0xa3ecc53a,
-  0x58e62552, 0xa3e867fa, 0x58e19ff3, 0xa3e40af3, 0x58dd1a5d, 0xa3dfae25,
-    0x58d89490, 0xa3db5190,
-  0x58d40e8c, 0xa3d6f534, 0x58cf8852, 0xa3d29910, 0x58cb01e1, 0xa3ce3d25,
-    0x58c67b39, 0xa3c9e174,
-  0x58c1f45b, 0xa3c585fb, 0x58bd6d45, 0xa3c12abb, 0x58b8e5f9, 0xa3bccfb3,
-    0x58b45e76, 0xa3b874e5,
-  0x58afd6bd, 0xa3b41a50, 0x58ab4ecc, 0xa3afbff3, 0x58a6c6a5, 0xa3ab65d0,
-    0x58a23e48, 0xa3a70be6,
-  0x589db5b3, 0xa3a2b234, 0x58992ce9, 0xa39e58bb, 0x5894a3e7, 0xa399ff7c,
-    0x58901aaf, 0xa395a675,
-  0x588b9140, 0xa3914da8, 0x5887079a, 0xa38cf513, 0x58827dbe, 0xa3889cb8,
-    0x587df3ab, 0xa3844495,
-  0x58796962, 0xa37fecac, 0x5874dee2, 0xa37b94fb, 0x5870542c, 0xa3773d84,
-    0x586bc93f, 0xa372e646,
-  0x58673e1b, 0xa36e8f41, 0x5862b2c1, 0xa36a3875, 0x585e2730, 0xa365e1e2,
-    0x58599b69, 0xa3618b88,
-  0x58550f6c, 0xa35d3567, 0x58508338, 0xa358df80, 0x584bf6cd, 0xa35489d1,
-    0x58476a2c, 0xa350345c,
-  0x5842dd54, 0xa34bdf20, 0x583e5047, 0xa3478a1d, 0x5839c302, 0xa3433554,
-    0x58353587, 0xa33ee0c3,
-  0x5830a7d6, 0xa33a8c6c, 0x582c19ef, 0xa336384e, 0x58278bd1, 0xa331e469,
-    0x5822fd7c, 0xa32d90be,
-  0x581e6ef1, 0xa3293d4b, 0x5819e030, 0xa324ea13, 0x58155139, 0xa3209713,
-    0x5810c20b, 0xa31c444c,
-  0x580c32a7, 0xa317f1bf, 0x5807a30d, 0xa3139f6b, 0x5803133c, 0xa30f4d51,
-    0x57fe8335, 0xa30afb70,
-  0x57f9f2f8, 0xa306a9c8, 0x57f56284, 0xa3025859, 0x57f0d1da, 0xa2fe0724,
-    0x57ec40fa, 0xa2f9b629,
-  0x57e7afe4, 0xa2f56566, 0x57e31e97, 0xa2f114dd, 0x57de8d15, 0xa2ecc48e,
-    0x57d9fb5c, 0xa2e87477,
-  0x57d5696d, 0xa2e4249b, 0x57d0d747, 0xa2dfd4f7, 0x57cc44ec, 0xa2db858e,
-    0x57c7b25a, 0xa2d7365d,
-  0x57c31f92, 0xa2d2e766, 0x57be8c94, 0xa2ce98a9, 0x57b9f960, 0xa2ca4a25,
-    0x57b565f6, 0xa2c5fbda,
-  0x57b0d256, 0xa2c1adc9, 0x57ac3e80, 0xa2bd5ff2, 0x57a7aa73, 0xa2b91254,
-    0x57a31631, 0xa2b4c4f0,
-  0x579e81b8, 0xa2b077c5, 0x5799ed0a, 0xa2ac2ad3, 0x57955825, 0xa2a7de1c,
-    0x5790c30a, 0xa2a3919e,
-  0x578c2dba, 0xa29f4559, 0x57879833, 0xa29af94e, 0x57830276, 0xa296ad7d,
-    0x577e6c84, 0xa29261e5,
-  0x5779d65b, 0xa28e1687, 0x57753ffc, 0xa289cb63, 0x5770a968, 0xa2858078,
-    0x576c129d, 0xa28135c7,
-  0x57677b9d, 0xa27ceb4f, 0x5762e467, 0xa278a111, 0x575e4cfa, 0xa274570d,
-    0x5759b558, 0xa2700d43,
-  0x57551d80, 0xa26bc3b2, 0x57508572, 0xa2677a5b, 0x574bed2f, 0xa263313e,
-    0x574754b5, 0xa25ee85b,
-  0x5742bc06, 0xa25a9fb1, 0x573e2320, 0xa2565741, 0x57398a05, 0xa2520f0b,
-    0x5734f0b5, 0xa24dc70f,
-  0x5730572e, 0xa2497f4c, 0x572bbd71, 0xa24537c3, 0x5727237f, 0xa240f074,
-    0x57228957, 0xa23ca95f,
-  0x571deefa, 0xa2386284, 0x57195466, 0xa2341be3, 0x5714b99d, 0xa22fd57b,
-    0x57101e9e, 0xa22b8f4d,
-  0x570b8369, 0xa2274959, 0x5706e7ff, 0xa223039f, 0x57024c5f, 0xa21ebe1f,
-    0x56fdb08a, 0xa21a78d9,
-  0x56f9147e, 0xa21633cd, 0x56f4783d, 0xa211eefb, 0x56efdbc7, 0xa20daa62,
-    0x56eb3f1a, 0xa2096604,
-  0x56e6a239, 0xa20521e0, 0x56e20521, 0xa200ddf5, 0x56dd67d4, 0xa1fc9a45,
-    0x56d8ca51, 0xa1f856ce,
-  0x56d42c99, 0xa1f41392, 0x56cf8eab, 0xa1efd08f, 0x56caf088, 0xa1eb8dc7,
-    0x56c6522f, 0xa1e74b38,
-  0x56c1b3a1, 0xa1e308e4, 0x56bd14dd, 0xa1dec6ca, 0x56b875e4, 0xa1da84e9,
-    0x56b3d6b5, 0xa1d64343,
-  0x56af3750, 0xa1d201d7, 0x56aa97b7, 0xa1cdc0a5, 0x56a5f7e7, 0xa1c97fad,
-    0x56a157e3, 0xa1c53ef0,
-  0x569cb7a8, 0xa1c0fe6c, 0x56981739, 0xa1bcbe22, 0x56937694, 0xa1b87e13,
-    0x568ed5b9, 0xa1b43e3e,
-  0x568a34a9, 0xa1affea3, 0x56859364, 0xa1abbf42, 0x5680f1ea, 0xa1a7801b,
-    0x567c503a, 0xa1a3412f,
-  0x5677ae54, 0xa19f027c, 0x56730c3a, 0xa19ac404, 0x566e69ea, 0xa19685c7,
-    0x5669c765, 0xa19247c3,
-  0x566524aa, 0xa18e09fa, 0x566081ba, 0xa189cc6b, 0x565bde95, 0xa1858f16,
-    0x56573b3b, 0xa18151fb,
-  0x565297ab, 0xa17d151b, 0x564df3e6, 0xa178d875, 0x56494fec, 0xa1749c09,
-    0x5644abbc, 0xa1705fd8,
-  0x56400758, 0xa16c23e1, 0x563b62be, 0xa167e824, 0x5636bdef, 0xa163aca2,
-    0x563218eb, 0xa15f715a,
-  0x562d73b2, 0xa15b364d, 0x5628ce43, 0xa156fb79, 0x5624289f, 0xa152c0e1,
-    0x561f82c7, 0xa14e8682,
-  0x561adcb9, 0xa14a4c5e, 0x56163676, 0xa1461275, 0x56118ffe, 0xa141d8c5,
-    0x560ce950, 0xa13d9f51,
-  0x5608426e, 0xa1396617, 0x56039b57, 0xa1352d17, 0x55fef40a, 0xa130f451,
-    0x55fa4c89, 0xa12cbbc7,
-  0x55f5a4d2, 0xa1288376, 0x55f0fce7, 0xa1244b61, 0x55ec54c6, 0xa1201385,
-    0x55e7ac71, 0xa11bdbe4,
-  0x55e303e6, 0xa117a47e, 0x55de5b27, 0xa1136d52, 0x55d9b232, 0xa10f3661,
-    0x55d50909, 0xa10affab,
-  0x55d05faa, 0xa106c92f, 0x55cbb617, 0xa10292ed, 0x55c70c4f, 0xa0fe5ce6,
-    0x55c26251, 0xa0fa271a,
-  0x55bdb81f, 0xa0f5f189, 0x55b90db8, 0xa0f1bc32, 0x55b4631d, 0xa0ed8715,
-    0x55afb84c, 0xa0e95234,
-  0x55ab0d46, 0xa0e51d8c, 0x55a6620c, 0xa0e0e920, 0x55a1b69d, 0xa0dcb4ee,
-    0x559d0af9, 0xa0d880f7,
-  0x55985f20, 0xa0d44d3b, 0x5593b312, 0xa0d019b9, 0x558f06d0, 0xa0cbe672,
-    0x558a5a58, 0xa0c7b366,
-  0x5585adad, 0xa0c38095, 0x558100cc, 0xa0bf4dfe, 0x557c53b6, 0xa0bb1ba2,
-    0x5577a66c, 0xa0b6e981,
-  0x5572f8ed, 0xa0b2b79b, 0x556e4b39, 0xa0ae85ef, 0x55699d51, 0xa0aa547e,
-    0x5564ef34, 0xa0a62348,
-  0x556040e2, 0xa0a1f24d, 0x555b925c, 0xa09dc18d, 0x5556e3a1, 0xa0999107,
-    0x555234b1, 0xa09560bc,
-  0x554d858d, 0xa09130ad, 0x5548d634, 0xa08d00d8, 0x554426a7, 0xa088d13e,
-    0x553f76e4, 0xa084a1de,
-  0x553ac6ee, 0xa08072ba, 0x553616c2, 0xa07c43d1, 0x55316663, 0xa0781522,
-    0x552cb5ce, 0xa073e6af,
-  0x55280505, 0xa06fb876, 0x55235408, 0xa06b8a78, 0x551ea2d6, 0xa0675cb6,
-    0x5519f16f, 0xa0632f2e,
-  0x55153fd4, 0xa05f01e1, 0x55108e05, 0xa05ad4cf, 0x550bdc01, 0xa056a7f9,
-    0x550729c9, 0xa0527b5d,
-  0x5502775c, 0xa04e4efc, 0x54fdc4ba, 0xa04a22d7, 0x54f911e5, 0xa045f6ec,
-    0x54f45edb, 0xa041cb3c,
-  0x54efab9c, 0xa03d9fc8, 0x54eaf829, 0xa039748e, 0x54e64482, 0xa0354990,
-    0x54e190a6, 0xa0311ecd,
-  0x54dcdc96, 0xa02cf444, 0x54d82852, 0xa028c9f7, 0x54d373d9, 0xa0249fe5,
-    0x54cebf2c, 0xa020760e,
-  0x54ca0a4b, 0xa01c4c73, 0x54c55535, 0xa0182312, 0x54c09feb, 0xa013f9ed,
-    0x54bbea6d, 0xa00fd102,
-  0x54b734ba, 0xa00ba853, 0x54b27ed3, 0xa0077fdf, 0x54adc8b8, 0xa00357a7,
-    0x54a91269, 0x9fff2fa9,
-  0x54a45be6, 0x9ffb07e7, 0x549fa52e, 0x9ff6e060, 0x549aee42, 0x9ff2b914,
-    0x54963722, 0x9fee9204,
-  0x54917fce, 0x9fea6b2f, 0x548cc845, 0x9fe64495, 0x54881089, 0x9fe21e36,
-    0x54835898, 0x9fddf812,
-  0x547ea073, 0x9fd9d22a, 0x5479e81a, 0x9fd5ac7d, 0x54752f8d, 0x9fd1870c,
-    0x547076cc, 0x9fcd61d6,
-  0x546bbdd7, 0x9fc93cdb, 0x546704ae, 0x9fc5181b, 0x54624b50, 0x9fc0f397,
-    0x545d91bf, 0x9fbccf4f,
-  0x5458d7f9, 0x9fb8ab41, 0x54541e00, 0x9fb4876f, 0x544f63d2, 0x9fb063d9,
-    0x544aa971, 0x9fac407e,
-  0x5445eedb, 0x9fa81d5e, 0x54413412, 0x9fa3fa79, 0x543c7914, 0x9f9fd7d1,
-    0x5437bde3, 0x9f9bb563,
-  0x5433027d, 0x9f979331, 0x542e46e4, 0x9f93713b, 0x54298b17, 0x9f8f4f80,
-    0x5424cf16, 0x9f8b2e00,
-  0x542012e1, 0x9f870cbc, 0x541b5678, 0x9f82ebb4, 0x541699db, 0x9f7ecae7,
-    0x5411dd0a, 0x9f7aaa55,
-  0x540d2005, 0x9f7689ff, 0x540862cd, 0x9f7269e5, 0x5403a561, 0x9f6e4a06,
-    0x53fee7c1, 0x9f6a2a63,
-  0x53fa29ed, 0x9f660afb, 0x53f56be5, 0x9f61ebcf, 0x53f0adaa, 0x9f5dccde,
-    0x53ebef3a, 0x9f59ae29,
-  0x53e73097, 0x9f558fb0, 0x53e271c0, 0x9f517173, 0x53ddb2b6, 0x9f4d5371,
-    0x53d8f378, 0x9f4935aa,
-  0x53d43406, 0x9f45181f, 0x53cf7460, 0x9f40fad0, 0x53cab486, 0x9f3cddbd,
-    0x53c5f479, 0x9f38c0e5,
-  0x53c13439, 0x9f34a449, 0x53bc73c4, 0x9f3087e9, 0x53b7b31c, 0x9f2c6bc5,
-    0x53b2f240, 0x9f284fdc,
-  0x53ae3131, 0x9f24342f, 0x53a96fee, 0x9f2018bd, 0x53a4ae77, 0x9f1bfd88,
-    0x539feccd, 0x9f17e28e,
-  0x539b2af0, 0x9f13c7d0, 0x539668de, 0x9f0fad4e, 0x5391a699, 0x9f0b9307,
-    0x538ce421, 0x9f0778fd,
-  0x53882175, 0x9f035f2e, 0x53835e95, 0x9eff459b, 0x537e9b82, 0x9efb2c44,
-    0x5379d83c, 0x9ef71328,
-  0x537514c2, 0x9ef2fa49, 0x53705114, 0x9eeee1a5, 0x536b8d33, 0x9eeac93e,
-    0x5366c91f, 0x9ee6b112,
-  0x536204d7, 0x9ee29922, 0x535d405c, 0x9ede816e, 0x53587bad, 0x9eda69f6,
-    0x5353b6cb, 0x9ed652ba,
-  0x534ef1b5, 0x9ed23bb9, 0x534a2c6c, 0x9ece24f5, 0x534566f0, 0x9eca0e6d,
-    0x5340a140, 0x9ec5f820,
-  0x533bdb5d, 0x9ec1e210, 0x53371547, 0x9ebdcc3b, 0x53324efd, 0x9eb9b6a3,
-    0x532d8880, 0x9eb5a146,
-  0x5328c1d0, 0x9eb18c26, 0x5323faec, 0x9ead7742, 0x531f33d5, 0x9ea96299,
-    0x531a6c8b, 0x9ea54e2d,
-  0x5315a50e, 0x9ea139fd, 0x5310dd5d, 0x9e9d2608, 0x530c1579, 0x9e991250,
-    0x53074d62, 0x9e94fed4,
-  0x53028518, 0x9e90eb94, 0x52fdbc9a, 0x9e8cd890, 0x52f8f3e9, 0x9e88c5c9,
-    0x52f42b05, 0x9e84b33d,
-  0x52ef61ee, 0x9e80a0ee, 0x52ea98a4, 0x9e7c8eda, 0x52e5cf27, 0x9e787d03,
-    0x52e10576, 0x9e746b68,
-  0x52dc3b92, 0x9e705a09, 0x52d7717b, 0x9e6c48e7, 0x52d2a732, 0x9e683800,
-    0x52cddcb5, 0x9e642756,
-  0x52c91204, 0x9e6016e8, 0x52c44721, 0x9e5c06b6, 0x52bf7c0b, 0x9e57f6c0,
-    0x52bab0c2, 0x9e53e707,
-  0x52b5e546, 0x9e4fd78a, 0x52b11996, 0x9e4bc849, 0x52ac4db4, 0x9e47b944,
-    0x52a7819f, 0x9e43aa7c,
-  0x52a2b556, 0x9e3f9bf0, 0x529de8db, 0x9e3b8da0, 0x52991c2d, 0x9e377f8c,
-    0x52944f4c, 0x9e3371b5,
-  0x528f8238, 0x9e2f641b, 0x528ab4f1, 0x9e2b56bc, 0x5285e777, 0x9e27499a,
-    0x528119ca, 0x9e233cb4,
-  0x527c4bea, 0x9e1f300b, 0x52777dd7, 0x9e1b239e, 0x5272af92, 0x9e17176d,
-    0x526de11a, 0x9e130b79,
-  0x5269126e, 0x9e0effc1, 0x52644390, 0x9e0af446, 0x525f7480, 0x9e06e907,
-    0x525aa53c, 0x9e02de04,
-  0x5255d5c5, 0x9dfed33e, 0x5251061c, 0x9dfac8b4, 0x524c3640, 0x9df6be67,
-    0x52476631, 0x9df2b456,
-  0x524295f0, 0x9deeaa82, 0x523dc57b, 0x9deaa0ea, 0x5238f4d4, 0x9de6978f,
-    0x523423fb, 0x9de28e70,
-  0x522f52ee, 0x9dde858e, 0x522a81af, 0x9dda7ce9, 0x5225b03d, 0x9dd6747f,
-    0x5220de99, 0x9dd26c53,
-  0x521c0cc2, 0x9dce6463, 0x52173ab8, 0x9dca5caf, 0x5212687b, 0x9dc65539,
-    0x520d960c, 0x9dc24dfe,
-  0x5208c36a, 0x9dbe4701, 0x5203f096, 0x9dba4040, 0x51ff1d8f, 0x9db639bb,
-    0x51fa4a56, 0x9db23373,
-  0x51f576ea, 0x9dae2d68, 0x51f0a34b, 0x9daa279a, 0x51ebcf7a, 0x9da62208,
-    0x51e6fb76, 0x9da21cb2,
-  0x51e22740, 0x9d9e179a, 0x51dd52d7, 0x9d9a12be, 0x51d87e3c, 0x9d960e1f,
-    0x51d3a96f, 0x9d9209bd,
-  0x51ced46e, 0x9d8e0597, 0x51c9ff3c, 0x9d8a01ae, 0x51c529d7, 0x9d85fe02,
-    0x51c0543f, 0x9d81fa92,
-  0x51bb7e75, 0x9d7df75f, 0x51b6a879, 0x9d79f469, 0x51b1d24a, 0x9d75f1b0,
-    0x51acfbe9, 0x9d71ef34,
-  0x51a82555, 0x9d6decf4, 0x51a34e8f, 0x9d69eaf1, 0x519e7797, 0x9d65e92b,
-    0x5199a06d, 0x9d61e7a2,
-  0x5194c910, 0x9d5de656, 0x518ff180, 0x9d59e546, 0x518b19bf, 0x9d55e473,
-    0x518641cb, 0x9d51e3dd,
-  0x518169a5, 0x9d4de385, 0x517c914c, 0x9d49e368, 0x5177b8c2, 0x9d45e389,
-    0x5172e005, 0x9d41e3e7,
-  0x516e0715, 0x9d3de482, 0x51692df4, 0x9d39e559, 0x516454a0, 0x9d35e66e,
-    0x515f7b1a, 0x9d31e7bf,
-  0x515aa162, 0x9d2de94d, 0x5155c778, 0x9d29eb19, 0x5150ed5c, 0x9d25ed21,
-    0x514c130d, 0x9d21ef66,
-  0x5147388c, 0x9d1df1e9, 0x51425dd9, 0x9d19f4a8, 0x513d82f4, 0x9d15f7a4,
-    0x5138a7dd, 0x9d11fadd,
-  0x5133cc94, 0x9d0dfe54, 0x512ef119, 0x9d0a0207, 0x512a156b, 0x9d0605f7,
-    0x5125398c, 0x9d020a25,
-  0x51205d7b, 0x9cfe0e8f, 0x511b8137, 0x9cfa1337, 0x5116a4c1, 0x9cf6181c,
-    0x5111c81a, 0x9cf21d3d,
-  0x510ceb40, 0x9cee229c, 0x51080e35, 0x9cea2838, 0x510330f7, 0x9ce62e11,
-    0x50fe5388, 0x9ce23427,
-  0x50f975e6, 0x9cde3a7b, 0x50f49813, 0x9cda410b, 0x50efba0d, 0x9cd647d9,
-    0x50eadbd6, 0x9cd24ee4,
-  0x50e5fd6d, 0x9cce562c, 0x50e11ed2, 0x9cca5db1, 0x50dc4005, 0x9cc66573,
-    0x50d76106, 0x9cc26d73,
-  0x50d281d5, 0x9cbe75b0, 0x50cda272, 0x9cba7e2a, 0x50c8c2de, 0x9cb686e1,
-    0x50c3e317, 0x9cb28fd5,
-  0x50bf031f, 0x9cae9907, 0x50ba22f5, 0x9caaa276, 0x50b5429a, 0x9ca6ac23,
-    0x50b0620c, 0x9ca2b60c,
-  0x50ab814d, 0x9c9ec033, 0x50a6a05c, 0x9c9aca97, 0x50a1bf39, 0x9c96d539,
-    0x509cdde4, 0x9c92e017,
-  0x5097fc5e, 0x9c8eeb34, 0x50931aa6, 0x9c8af68d, 0x508e38bd, 0x9c870224,
-    0x508956a1, 0x9c830df8,
-  0x50847454, 0x9c7f1a0a, 0x507f91d5, 0x9c7b2659, 0x507aaf25, 0x9c7732e5,
-    0x5075cc43, 0x9c733faf,
-  0x5070e92f, 0x9c6f4cb6, 0x506c05ea, 0x9c6b59fa, 0x50672273, 0x9c67677c,
-    0x50623ecb, 0x9c63753c,
-  0x505d5af1, 0x9c5f8339, 0x505876e5, 0x9c5b9173, 0x505392a8, 0x9c579feb,
-    0x504eae39, 0x9c53aea0,
-  0x5049c999, 0x9c4fbd93, 0x5044e4c7, 0x9c4bccc3, 0x503fffc4, 0x9c47dc31,
-    0x503b1a8f, 0x9c43ebdc,
-  0x50363529, 0x9c3ffbc5, 0x50314f91, 0x9c3c0beb, 0x502c69c8, 0x9c381c4f,
-    0x502783cd, 0x9c342cf0,
-  0x50229da1, 0x9c303dcf, 0x501db743, 0x9c2c4eec, 0x5018d0b4, 0x9c286046,
-    0x5013e9f4, 0x9c2471de,
-  0x500f0302, 0x9c2083b3, 0x500a1bdf, 0x9c1c95c6, 0x5005348a, 0x9c18a816,
-    0x50004d04, 0x9c14baa4,
-  0x4ffb654d, 0x9c10cd70, 0x4ff67d64, 0x9c0ce07a, 0x4ff1954b, 0x9c08f3c1,
-    0x4fecacff, 0x9c050745,
-  0x4fe7c483, 0x9c011b08, 0x4fe2dbd5, 0x9bfd2f08, 0x4fddf2f6, 0x9bf94346,
-    0x4fd909e5, 0x9bf557c1,
-  0x4fd420a4, 0x9bf16c7a, 0x4fcf3731, 0x9bed8171, 0x4fca4d8d, 0x9be996a6,
-    0x4fc563b7, 0x9be5ac18,
-  0x4fc079b1, 0x9be1c1c8, 0x4fbb8f79, 0x9bddd7b6, 0x4fb6a510, 0x9bd9ede2,
-    0x4fb1ba76, 0x9bd6044b,
-  0x4faccfab, 0x9bd21af3, 0x4fa7e4af, 0x9bce31d8, 0x4fa2f981, 0x9bca48fa,
-    0x4f9e0e22, 0x9bc6605b,
-  0x4f992293, 0x9bc277fa, 0x4f9436d2, 0x9bbe8fd6, 0x4f8f4ae0, 0x9bbaa7f0,
-    0x4f8a5ebd, 0x9bb6c048,
-  0x4f857269, 0x9bb2d8de, 0x4f8085e4, 0x9baef1b2, 0x4f7b992d, 0x9bab0ac3,
-    0x4f76ac46, 0x9ba72413,
-  0x4f71bf2e, 0x9ba33da0, 0x4f6cd1e5, 0x9b9f576b, 0x4f67e46a, 0x9b9b7174,
-    0x4f62f6bf, 0x9b978bbc,
-  0x4f5e08e3, 0x9b93a641, 0x4f591ad6, 0x9b8fc104, 0x4f542c98, 0x9b8bdc05,
-    0x4f4f3e29, 0x9b87f744,
-  0x4f4a4f89, 0x9b8412c1, 0x4f4560b8, 0x9b802e7b, 0x4f4071b6, 0x9b7c4a74,
-    0x4f3b8284, 0x9b7866ab,
-  0x4f369320, 0x9b748320, 0x4f31a38c, 0x9b709fd3, 0x4f2cb3c7, 0x9b6cbcc4,
-    0x4f27c3d1, 0x9b68d9f3,
-  0x4f22d3aa, 0x9b64f760, 0x4f1de352, 0x9b61150b, 0x4f18f2c9, 0x9b5d32f4,
-    0x4f140210, 0x9b59511c,
-  0x4f0f1126, 0x9b556f81, 0x4f0a200b, 0x9b518e24, 0x4f052ec0, 0x9b4dad06,
-    0x4f003d43, 0x9b49cc26,
-  0x4efb4b96, 0x9b45eb83, 0x4ef659b8, 0x9b420b1f, 0x4ef167aa, 0x9b3e2af9,
-    0x4eec756b, 0x9b3a4b11,
-  0x4ee782fb, 0x9b366b68, 0x4ee2905a, 0x9b328bfc, 0x4edd9d89, 0x9b2eaccf,
-    0x4ed8aa87, 0x9b2acde0,
-  0x4ed3b755, 0x9b26ef2f, 0x4ecec3f2, 0x9b2310bc, 0x4ec9d05e, 0x9b1f3288,
-    0x4ec4dc99, 0x9b1b5492,
-  0x4ebfe8a5, 0x9b1776da, 0x4ebaf47f, 0x9b139960, 0x4eb60029, 0x9b0fbc24,
-    0x4eb10ba2, 0x9b0bdf27,
-  0x4eac16eb, 0x9b080268, 0x4ea72203, 0x9b0425e8, 0x4ea22ceb, 0x9b0049a5,
-    0x4e9d37a3, 0x9afc6da1,
-  0x4e984229, 0x9af891db, 0x4e934c80, 0x9af4b654, 0x4e8e56a5, 0x9af0db0b,
-    0x4e89609b, 0x9aed0000,
-  0x4e846a60, 0x9ae92533, 0x4e7f73f4, 0x9ae54aa5, 0x4e7a7d58, 0x9ae17056,
-    0x4e75868c, 0x9add9644,
-  0x4e708f8f, 0x9ad9bc71, 0x4e6b9862, 0x9ad5e2dd, 0x4e66a105, 0x9ad20987,
-    0x4e61a977, 0x9ace306f,
-  0x4e5cb1b9, 0x9aca5795, 0x4e57b9ca, 0x9ac67efb, 0x4e52c1ab, 0x9ac2a69e,
-    0x4e4dc95c, 0x9abece80,
-  0x4e48d0dd, 0x9abaf6a1, 0x4e43d82d, 0x9ab71eff, 0x4e3edf4d, 0x9ab3479d,
-    0x4e39e63d, 0x9aaf7079,
-  0x4e34ecfc, 0x9aab9993, 0x4e2ff38b, 0x9aa7c2ec, 0x4e2af9ea, 0x9aa3ec83,
-    0x4e260019, 0x9aa01659,
-  0x4e210617, 0x9a9c406e, 0x4e1c0be6, 0x9a986ac1, 0x4e171184, 0x9a949552,
-    0x4e1216f2, 0x9a90c022,
-  0x4e0d1c30, 0x9a8ceb31, 0x4e08213e, 0x9a89167e, 0x4e03261b, 0x9a85420a,
-    0x4dfe2ac9, 0x9a816dd5,
-  0x4df92f46, 0x9a7d99de, 0x4df43393, 0x9a79c625, 0x4def37b0, 0x9a75f2ac,
-    0x4dea3b9d, 0x9a721f71,
-  0x4de53f5a, 0x9a6e4c74, 0x4de042e7, 0x9a6a79b6, 0x4ddb4644, 0x9a66a737,
-    0x4dd64971, 0x9a62d4f7,
-  0x4dd14c6e, 0x9a5f02f5, 0x4dcc4f3b, 0x9a5b3132, 0x4dc751d8, 0x9a575fae,
-    0x4dc25445, 0x9a538e68,
-  0x4dbd5682, 0x9a4fbd61, 0x4db8588f, 0x9a4bec99, 0x4db35a6c, 0x9a481c0f,
-    0x4dae5c19, 0x9a444bc5,
-  0x4da95d96, 0x9a407bb9, 0x4da45ee3, 0x9a3cabeb, 0x4d9f6001, 0x9a38dc5d,
-    0x4d9a60ee, 0x9a350d0d,
-  0x4d9561ac, 0x9a313dfc, 0x4d90623a, 0x9a2d6f2a, 0x4d8b6298, 0x9a29a097,
-    0x4d8662c6, 0x9a25d243,
-  0x4d8162c4, 0x9a22042d, 0x4d7c6293, 0x9a1e3656, 0x4d776231, 0x9a1a68be,
-    0x4d7261a0, 0x9a169b65,
-  0x4d6d60df, 0x9a12ce4b, 0x4d685fef, 0x9a0f016f, 0x4d635ece, 0x9a0b34d3,
-    0x4d5e5d7e, 0x9a076875,
-  0x4d595bfe, 0x9a039c57, 0x4d545a4f, 0x99ffd077, 0x4d4f5870, 0x99fc04d6,
-    0x4d4a5661, 0x99f83974,
-  0x4d455422, 0x99f46e51, 0x4d4051b4, 0x99f0a36d, 0x4d3b4f16, 0x99ecd8c8,
-    0x4d364c48, 0x99e90e62,
-  0x4d31494b, 0x99e5443b, 0x4d2c461e, 0x99e17a53, 0x4d2742c2, 0x99ddb0aa,
-    0x4d223f36, 0x99d9e73f,
-  0x4d1d3b7a, 0x99d61e14, 0x4d18378f, 0x99d25528, 0x4d133374, 0x99ce8c7b,
-    0x4d0e2f2a, 0x99cac40d,
-  0x4d092ab0, 0x99c6fbde, 0x4d042607, 0x99c333ee, 0x4cff212e, 0x99bf6c3d,
-    0x4cfa1c26, 0x99bba4cb,
-  0x4cf516ee, 0x99b7dd99, 0x4cf01187, 0x99b416a5, 0x4ceb0bf0, 0x99b04ff0,
-    0x4ce6062a, 0x99ac897b,
-  0x4ce10034, 0x99a8c345, 0x4cdbfa0f, 0x99a4fd4d, 0x4cd6f3bb, 0x99a13795,
-    0x4cd1ed37, 0x999d721c,
-  0x4ccce684, 0x9999ace3, 0x4cc7dfa1, 0x9995e7e8, 0x4cc2d88f, 0x9992232d,
-    0x4cbdd14e, 0x998e5eb1,
-  0x4cb8c9dd, 0x998a9a74, 0x4cb3c23d, 0x9986d676, 0x4caeba6e, 0x998312b7,
-    0x4ca9b26f, 0x997f4f38,
-  0x4ca4aa41, 0x997b8bf8, 0x4c9fa1e4, 0x9977c8f7, 0x4c9a9958, 0x99740635,
-    0x4c95909c, 0x997043b2,
-  0x4c9087b1, 0x996c816f, 0x4c8b7e97, 0x9968bf6b, 0x4c86754e, 0x9964fda7,
-    0x4c816bd5, 0x99613c22,
-  0x4c7c622d, 0x995d7adc, 0x4c775856, 0x9959b9d5, 0x4c724e50, 0x9955f90d,
-    0x4c6d441b, 0x99523885,
-  0x4c6839b7, 0x994e783d, 0x4c632f23, 0x994ab833, 0x4c5e2460, 0x9946f869,
-    0x4c59196f, 0x994338df,
-  0x4c540e4e, 0x993f7993, 0x4c4f02fe, 0x993bba87, 0x4c49f77f, 0x9937fbbb,
-    0x4c44ebd1, 0x99343d2e,
-  0x4c3fdff4, 0x99307ee0, 0x4c3ad3e7, 0x992cc0d2, 0x4c35c7ac, 0x99290303,
-    0x4c30bb42, 0x99254574,
-  0x4c2baea9, 0x99218824, 0x4c26a1e1, 0x991dcb13, 0x4c2194e9, 0x991a0e42,
-    0x4c1c87c3, 0x991651b1,
-  0x4c177a6e, 0x9912955f, 0x4c126cea, 0x990ed94c, 0x4c0d5f37, 0x990b1d79,
-    0x4c085156, 0x990761e5,
-  0x4c034345, 0x9903a691, 0x4bfe3505, 0x98ffeb7d, 0x4bf92697, 0x98fc30a8,
-    0x4bf417f9, 0x98f87612,
-  0x4bef092d, 0x98f4bbbc, 0x4be9fa32, 0x98f101a6, 0x4be4eb08, 0x98ed47cf,
-    0x4bdfdbaf, 0x98e98e38,
-  0x4bdacc28, 0x98e5d4e0, 0x4bd5bc72, 0x98e21bc8, 0x4bd0ac8d, 0x98de62f0,
-    0x4bcb9c79, 0x98daaa57,
-  0x4bc68c36, 0x98d6f1fe, 0x4bc17bc5, 0x98d339e4, 0x4bbc6b25, 0x98cf820b,
-    0x4bb75a56, 0x98cbca70,
-  0x4bb24958, 0x98c81316, 0x4bad382c, 0x98c45bfb, 0x4ba826d1, 0x98c0a520,
-    0x4ba31548, 0x98bcee84,
-  0x4b9e0390, 0x98b93828, 0x4b98f1a9, 0x98b5820c, 0x4b93df93, 0x98b1cc30,
-    0x4b8ecd4f, 0x98ae1693,
-  0x4b89badd, 0x98aa6136, 0x4b84a83b, 0x98a6ac19, 0x4b7f956b, 0x98a2f73c,
-    0x4b7a826d, 0x989f429e,
-  0x4b756f40, 0x989b8e40, 0x4b705be4, 0x9897da22, 0x4b6b485a, 0x98942643,
-    0x4b6634a2, 0x989072a5,
-  0x4b6120bb, 0x988cbf46, 0x4b5c0ca5, 0x98890c27, 0x4b56f861, 0x98855948,
-    0x4b51e3ee, 0x9881a6a9,
-  0x4b4ccf4d, 0x987df449, 0x4b47ba7e, 0x987a422a, 0x4b42a580, 0x9876904a,
-    0x4b3d9053, 0x9872deaa,
-  0x4b387af9, 0x986f2d4a, 0x4b336570, 0x986b7c2a, 0x4b2e4fb8, 0x9867cb4a,
-    0x4b2939d2, 0x98641aa9,
-  0x4b2423be, 0x98606a49, 0x4b1f0d7b, 0x985cba28, 0x4b19f70a, 0x98590a48,
-    0x4b14e06b, 0x98555aa7,
-  0x4b0fc99d, 0x9851ab46, 0x4b0ab2a1, 0x984dfc26, 0x4b059b77, 0x984a4d45,
-    0x4b00841f, 0x98469ea4,
-  0x4afb6c98, 0x9842f043, 0x4af654e3, 0x983f4223, 0x4af13d00, 0x983b9442,
-    0x4aec24ee, 0x9837e6a1,
-  0x4ae70caf, 0x98343940, 0x4ae1f441, 0x98308c1f, 0x4adcdba5, 0x982cdf3f,
-    0x4ad7c2da, 0x9829329e,
-  0x4ad2a9e2, 0x9825863d, 0x4acd90bb, 0x9821da1d, 0x4ac87767, 0x981e2e3c,
-    0x4ac35de4, 0x981a829c,
-  0x4abe4433, 0x9816d73b, 0x4ab92a54, 0x98132c1b, 0x4ab41046, 0x980f813b,
-    0x4aaef60b, 0x980bd69b,
-  0x4aa9dba2, 0x98082c3b, 0x4aa4c10b, 0x9804821b, 0x4a9fa645, 0x9800d83c,
-    0x4a9a8b52, 0x97fd2e9c,
-  0x4a957030, 0x97f9853d, 0x4a9054e1, 0x97f5dc1e, 0x4a8b3963, 0x97f2333f,
-    0x4a861db8, 0x97ee8aa0,
-  0x4a8101de, 0x97eae242, 0x4a7be5d7, 0x97e73a23, 0x4a76c9a2, 0x97e39245,
-    0x4a71ad3e, 0x97dfeaa7,
-  0x4a6c90ad, 0x97dc4349, 0x4a6773ee, 0x97d89c2c, 0x4a625701, 0x97d4f54f,
-    0x4a5d39e6, 0x97d14eb2,
-  0x4a581c9e, 0x97cda855, 0x4a52ff27, 0x97ca0239, 0x4a4de182, 0x97c65c5c,
-    0x4a48c3b0, 0x97c2b6c1,
-  0x4a43a5b0, 0x97bf1165, 0x4a3e8782, 0x97bb6c4a, 0x4a396926, 0x97b7c76f,
-    0x4a344a9d, 0x97b422d4,
-  0x4a2f2be6, 0x97b07e7a, 0x4a2a0d01, 0x97acda60, 0x4a24edee, 0x97a93687,
-    0x4a1fcead, 0x97a592ed,
-  0x4a1aaf3f, 0x97a1ef94, 0x4a158fa3, 0x979e4c7c, 0x4a106fda, 0x979aa9a4,
-    0x4a0b4fe2, 0x9797070c,
-  0x4a062fbd, 0x979364b5, 0x4a010f6b, 0x978fc29e, 0x49fbeeea, 0x978c20c8,
-    0x49f6ce3c, 0x97887f32,
-  0x49f1ad61, 0x9784dddc, 0x49ec8c57, 0x97813cc7, 0x49e76b21, 0x977d9bf2,
-    0x49e249bc, 0x9779fb5e,
-  0x49dd282a, 0x97765b0a, 0x49d8066b, 0x9772baf7, 0x49d2e47e, 0x976f1b24,
-    0x49cdc263, 0x976b7b92,
-  0x49c8a01b, 0x9767dc41, 0x49c37da5, 0x97643d2f, 0x49be5b02, 0x97609e5f,
-    0x49b93832, 0x975cffcf,
-  0x49b41533, 0x9759617f, 0x49aef208, 0x9755c370, 0x49a9ceaf, 0x975225a1,
-    0x49a4ab28, 0x974e8813,
-  0x499f8774, 0x974aeac6, 0x499a6393, 0x97474db9, 0x49953f84, 0x9743b0ed,
-    0x49901b48, 0x97401462,
-  0x498af6df, 0x973c7817, 0x4985d248, 0x9738dc0d, 0x4980ad84, 0x97354043,
-    0x497b8892, 0x9731a4ba,
-  0x49766373, 0x972e0971, 0x49713e27, 0x972a6e6a, 0x496c18ae, 0x9726d3a3,
-    0x4966f307, 0x9723391c,
-  0x4961cd33, 0x971f9ed7, 0x495ca732, 0x971c04d2, 0x49578103, 0x97186b0d,
-    0x49525aa7, 0x9714d18a,
-  0x494d341e, 0x97113847, 0x49480d68, 0x970d9f45, 0x4942e684, 0x970a0683,
-    0x493dbf74, 0x97066e03,
-  0x49389836, 0x9702d5c3, 0x493370cb, 0x96ff3dc4, 0x492e4933, 0x96fba605,
-    0x4929216e, 0x96f80e88,
-  0x4923f97b, 0x96f4774b, 0x491ed15c, 0x96f0e04f, 0x4919a90f, 0x96ed4994,
-    0x49148095, 0x96e9b319,
-  0x490f57ee, 0x96e61ce0, 0x490a2f1b, 0x96e286e7, 0x4905061a, 0x96def12f,
-    0x48ffdcec, 0x96db5bb8,
-  0x48fab391, 0x96d7c682, 0x48f58a09, 0x96d4318d, 0x48f06054, 0x96d09cd8,
-    0x48eb3672, 0x96cd0865,
-  0x48e60c62, 0x96c97432, 0x48e0e227, 0x96c5e040, 0x48dbb7be, 0x96c24c8f,
-    0x48d68d28, 0x96beb91f,
-  0x48d16265, 0x96bb25f0, 0x48cc3775, 0x96b79302, 0x48c70c59, 0x96b40055,
-    0x48c1e10f, 0x96b06de9,
-  0x48bcb599, 0x96acdbbe, 0x48b789f5, 0x96a949d3, 0x48b25e25, 0x96a5b82a,
-    0x48ad3228, 0x96a226c2,
-  0x48a805ff, 0x969e959b, 0x48a2d9a8, 0x969b04b4, 0x489dad25, 0x9697740f,
-    0x48988074, 0x9693e3ab,
-  0x48935397, 0x96905388, 0x488e268e, 0x968cc3a5, 0x4888f957, 0x96893404,
-    0x4883cbf4, 0x9685a4a4,
-  0x487e9e64, 0x96821585, 0x487970a7, 0x967e86a7, 0x487442be, 0x967af80a,
-    0x486f14a8, 0x967769af,
-  0x4869e665, 0x9673db94, 0x4864b7f5, 0x96704dba, 0x485f8959, 0x966cc022,
-    0x485a5a90, 0x966932cb,
-  0x48552b9b, 0x9665a5b4, 0x484ffc79, 0x966218df, 0x484acd2a, 0x965e8c4b,
-    0x48459daf, 0x965afff9,
-  0x48406e08, 0x965773e7, 0x483b3e33, 0x9653e817, 0x48360e32, 0x96505c88,
-    0x4830de05, 0x964cd139,
-  0x482badab, 0x9649462d, 0x48267d24, 0x9645bb61, 0x48214c71, 0x964230d7,
-    0x481c1b92, 0x963ea68d,
-  0x4816ea86, 0x963b1c86, 0x4811b94d, 0x963792bf, 0x480c87e8, 0x96340939,
-    0x48075657, 0x96307ff5,
-  0x48022499, 0x962cf6f2, 0x47fcf2af, 0x96296e31, 0x47f7c099, 0x9625e5b0,
-    0x47f28e56, 0x96225d71,
-  0x47ed5be6, 0x961ed574, 0x47e8294a, 0x961b4db7, 0x47e2f682, 0x9617c63c,
-    0x47ddc38e, 0x96143f02,
-  0x47d8906d, 0x9610b80a, 0x47d35d20, 0x960d3153, 0x47ce29a7, 0x9609aadd,
-    0x47c8f601, 0x960624a9,
-  0x47c3c22f, 0x96029eb6, 0x47be8e31, 0x95ff1904, 0x47b95a06, 0x95fb9394,
-    0x47b425af, 0x95f80e65,
-  0x47aef12c, 0x95f48977, 0x47a9bc7d, 0x95f104cb, 0x47a487a2, 0x95ed8061,
-    0x479f529a, 0x95e9fc38,
-  0x479a1d67, 0x95e67850, 0x4794e807, 0x95e2f4a9, 0x478fb27b, 0x95df7145,
-    0x478a7cc2, 0x95dbee21,
-  0x478546de, 0x95d86b3f, 0x478010cd, 0x95d4e89f, 0x477ada91, 0x95d16640,
-    0x4775a428, 0x95cde423,
-  0x47706d93, 0x95ca6247, 0x476b36d3, 0x95c6e0ac, 0x4765ffe6, 0x95c35f53,
-    0x4760c8cd, 0x95bfde3c,
-  0x475b9188, 0x95bc5d66, 0x47565a17, 0x95b8dcd2, 0x4751227a, 0x95b55c7f,
-    0x474beab1, 0x95b1dc6e,
-  0x4746b2bc, 0x95ae5c9f, 0x47417a9b, 0x95aadd11, 0x473c424e, 0x95a75dc4,
-    0x473709d5, 0x95a3deb9,
-  0x4731d131, 0x95a05ff0, 0x472c9860, 0x959ce169, 0x47275f63, 0x95996323,
-    0x4722263b, 0x9595e51e,
-  0x471cece7, 0x9592675c, 0x4717b367, 0x958ee9db, 0x471279ba, 0x958b6c9b,
-    0x470d3fe3, 0x9587ef9e,
-  0x470805df, 0x958472e2, 0x4702cbaf, 0x9580f667, 0x46fd9154, 0x957d7a2f,
-    0x46f856cd, 0x9579fe38,
-  0x46f31c1a, 0x95768283, 0x46ede13b, 0x9573070f, 0x46e8a631, 0x956f8bdd,
-    0x46e36afb, 0x956c10ed,
-  0x46de2f99, 0x9568963f, 0x46d8f40b, 0x95651bd2, 0x46d3b852, 0x9561a1a8,
-    0x46ce7c6d, 0x955e27bf,
-  0x46c9405c, 0x955aae17, 0x46c40420, 0x955734b2, 0x46bec7b8, 0x9553bb8e,
-    0x46b98b24, 0x955042ac,
-  0x46b44e65, 0x954cca0c, 0x46af117a, 0x954951ae, 0x46a9d464, 0x9545d992,
-    0x46a49722, 0x954261b7,
-  0x469f59b4, 0x953eea1e, 0x469a1c1b, 0x953b72c7, 0x4694de56, 0x9537fbb2,
-    0x468fa066, 0x953484df,
-  0x468a624a, 0x95310e4e, 0x46852403, 0x952d97fe, 0x467fe590, 0x952a21f1,
-    0x467aa6f2, 0x9526ac25,
-  0x46756828, 0x9523369c, 0x46702933, 0x951fc154, 0x466aea12, 0x951c4c4e,
-    0x4665aac6, 0x9518d78a,
-  0x46606b4e, 0x95156308, 0x465b2bab, 0x9511eec8, 0x4655ebdd, 0x950e7aca,
-    0x4650abe3, 0x950b070e,
-  0x464b6bbe, 0x95079394, 0x46462b6d, 0x9504205c, 0x4640eaf2, 0x9500ad66,
-    0x463baa4a, 0x94fd3ab1,
-  0x46366978, 0x94f9c83f, 0x4631287a, 0x94f6560f, 0x462be751, 0x94f2e421,
-    0x4626a5fd, 0x94ef7275,
-  0x4621647d, 0x94ec010b, 0x461c22d2, 0x94e88fe3, 0x4616e0fc, 0x94e51efd,
-    0x46119efa, 0x94e1ae59,
-  0x460c5cce, 0x94de3df8, 0x46071a76, 0x94dacdd8, 0x4601d7f3, 0x94d75dfa,
-    0x45fc9545, 0x94d3ee5f,
-  0x45f7526b, 0x94d07f05, 0x45f20f67, 0x94cd0fee, 0x45eccc37, 0x94c9a119,
-    0x45e788dc, 0x94c63286,
-  0x45e24556, 0x94c2c435, 0x45dd01a5, 0x94bf5627, 0x45d7bdc9, 0x94bbe85a,
-    0x45d279c2, 0x94b87ad0,
-  0x45cd358f, 0x94b50d87, 0x45c7f132, 0x94b1a081, 0x45c2acaa, 0x94ae33be,
-    0x45bd67f6, 0x94aac73c,
-  0x45b82318, 0x94a75afd, 0x45b2de0e, 0x94a3eeff, 0x45ad98da, 0x94a08344,
-    0x45a8537a, 0x949d17cc,
-  0x45a30df0, 0x9499ac95, 0x459dc83b, 0x949641a1, 0x4598825a, 0x9492d6ef,
-    0x45933c4f, 0x948f6c7f,
-  0x458df619, 0x948c0252, 0x4588afb8, 0x94889867, 0x4583692c, 0x94852ebe,
-    0x457e2275, 0x9481c557,
-  0x4578db93, 0x947e5c33, 0x45739487, 0x947af351, 0x456e4d4f, 0x94778ab1,
-    0x456905ed, 0x94742254,
-  0x4563be60, 0x9470ba39, 0x455e76a8, 0x946d5260, 0x45592ec6, 0x9469eaca,
-    0x4553e6b8, 0x94668376,
-  0x454e9e80, 0x94631c65, 0x4549561d, 0x945fb596, 0x45440d90, 0x945c4f09,
-    0x453ec4d7, 0x9458e8bf,
-  0x45397bf4, 0x945582b7, 0x453432e6, 0x94521cf1, 0x452ee9ae, 0x944eb76e,
-    0x4529a04b, 0x944b522d,
-  0x452456bd, 0x9447ed2f, 0x451f0d04, 0x94448873, 0x4519c321, 0x944123fa,
-    0x45147913, 0x943dbfc3,
-  0x450f2edb, 0x943a5bcf, 0x4509e478, 0x9436f81d, 0x450499eb, 0x943394ad,
-    0x44ff4f32, 0x94303180,
-  0x44fa0450, 0x942cce96, 0x44f4b943, 0x94296bee, 0x44ef6e0b, 0x94260989,
-    0x44ea22a9, 0x9422a766,
-  0x44e4d71c, 0x941f4585, 0x44df8b64, 0x941be3e8, 0x44da3f83, 0x9418828c,
-    0x44d4f376, 0x94152174,
-  0x44cfa740, 0x9411c09e, 0x44ca5adf, 0x940e600a, 0x44c50e53, 0x940affb9,
-    0x44bfc19d, 0x94079fab,
-  0x44ba74bd, 0x94043fdf, 0x44b527b2, 0x9400e056, 0x44afda7d, 0x93fd810f,
-    0x44aa8d1d, 0x93fa220b,
-  0x44a53f93, 0x93f6c34a, 0x449ff1df, 0x93f364cb, 0x449aa400, 0x93f0068f,
-    0x449555f7, 0x93eca896,
-  0x449007c4, 0x93e94adf, 0x448ab967, 0x93e5ed6b, 0x44856adf, 0x93e2903a,
-    0x44801c2d, 0x93df334c,
-  0x447acd50, 0x93dbd6a0, 0x44757e4a, 0x93d87a36, 0x44702f19, 0x93d51e10,
-    0x446adfbe, 0x93d1c22c,
-  0x44659039, 0x93ce668b, 0x44604089, 0x93cb0b2d, 0x445af0b0, 0x93c7b011,
-    0x4455a0ac, 0x93c45539,
-  0x4450507e, 0x93c0faa3, 0x444b0026, 0x93bda04f, 0x4445afa4, 0x93ba463f,
-    0x44405ef8, 0x93b6ec71,
-  0x443b0e21, 0x93b392e6, 0x4435bd21, 0x93b0399e, 0x44306bf6, 0x93ace099,
-    0x442b1aa2, 0x93a987d6,
-  0x4425c923, 0x93a62f57, 0x4420777b, 0x93a2d71a, 0x441b25a8, 0x939f7f20,
-    0x4415d3ab, 0x939c2769,
-  0x44108184, 0x9398cff5, 0x440b2f34, 0x939578c3, 0x4405dcb9, 0x939221d5,
-    0x44008a14, 0x938ecb29,
-  0x43fb3746, 0x938b74c1, 0x43f5e44d, 0x93881e9b, 0x43f0912b, 0x9384c8b8,
-    0x43eb3ddf, 0x93817318,
-  0x43e5ea68, 0x937e1dbb, 0x43e096c8, 0x937ac8a1, 0x43db42fe, 0x937773ca,
-    0x43d5ef0a, 0x93741f35,
-  0x43d09aed, 0x9370cae4, 0x43cb46a5, 0x936d76d6, 0x43c5f234, 0x936a230a,
-    0x43c09d99, 0x9366cf82,
-  0x43bb48d4, 0x93637c3d, 0x43b5f3e5, 0x9360293a, 0x43b09ecc, 0x935cd67b,
-    0x43ab498a, 0x935983ff,
-  0x43a5f41e, 0x935631c5, 0x43a09e89, 0x9352dfcf, 0x439b48c9, 0x934f8e1c,
-    0x4395f2e0, 0x934c3cab,
-  0x43909ccd, 0x9348eb7e, 0x438b4691, 0x93459a94, 0x4385f02a, 0x934249ed,
-    0x4380999b, 0x933ef989,
-  0x437b42e1, 0x933ba968, 0x4375ebfe, 0x9338598a, 0x437094f1, 0x933509f0,
-    0x436b3dbb, 0x9331ba98,
-  0x4365e65b, 0x932e6b84, 0x43608ed2, 0x932b1cb2, 0x435b371f, 0x9327ce24,
-    0x4355df42, 0x93247fd9,
-  0x4350873c, 0x932131d1, 0x434b2f0c, 0x931de40c, 0x4345d6b3, 0x931a968b,
-    0x43407e31, 0x9317494c,
-  0x433b2585, 0x9313fc51, 0x4335ccaf, 0x9310af99, 0x433073b0, 0x930d6324,
-    0x432b1a87, 0x930a16f3,
-  0x4325c135, 0x9306cb04, 0x432067ba, 0x93037f59, 0x431b0e15, 0x930033f1,
-    0x4315b447, 0x92fce8cc,
-  0x43105a50, 0x92f99deb, 0x430b002f, 0x92f6534c, 0x4305a5e5, 0x92f308f1,
-    0x43004b71, 0x92efbeda,
-  0x42faf0d4, 0x92ec7505, 0x42f5960e, 0x92e92b74, 0x42f03b1e, 0x92e5e226,
-    0x42eae005, 0x92e2991c,
-  0x42e584c3, 0x92df5054, 0x42e02958, 0x92dc07d0, 0x42dacdc3, 0x92d8bf90,
-    0x42d57205, 0x92d57792,
-  0x42d0161e, 0x92d22fd9, 0x42caba0e, 0x92cee862, 0x42c55dd4, 0x92cba12f,
-    0x42c00172, 0x92c85a3f,
-  0x42baa4e6, 0x92c51392, 0x42b54831, 0x92c1cd29, 0x42afeb53, 0x92be8703,
-    0x42aa8e4b, 0x92bb4121,
-  0x42a5311b, 0x92b7fb82, 0x429fd3c1, 0x92b4b626, 0x429a763f, 0x92b1710e,
-    0x42951893, 0x92ae2c3a,
-  0x428fbabe, 0x92aae7a8, 0x428a5cc0, 0x92a7a35a, 0x4284fe99, 0x92a45f50,
-    0x427fa049, 0x92a11b89,
-  0x427a41d0, 0x929dd806, 0x4274e32e, 0x929a94c6, 0x426f8463, 0x929751c9,
-    0x426a256f, 0x92940f10,
-  0x4264c653, 0x9290cc9b, 0x425f670d, 0x928d8a69, 0x425a079e, 0x928a487a,
-    0x4254a806, 0x928706cf,
-  0x424f4845, 0x9283c568, 0x4249e85c, 0x92808444, 0x42448849, 0x927d4363,
-    0x423f280e, 0x927a02c7,
-  0x4239c7aa, 0x9276c26d, 0x4234671d, 0x92738258, 0x422f0667, 0x92704286,
-    0x4229a588, 0x926d02f7,
-  0x42244481, 0x9269c3ac, 0x421ee350, 0x926684a5, 0x421981f7, 0x926345e1,
-    0x42142075, 0x92600761,
-  0x420ebecb, 0x925cc924, 0x42095cf7, 0x92598b2b, 0x4203fafb, 0x92564d76,
-    0x41fe98d6, 0x92531005,
-  0x41f93689, 0x924fd2d7, 0x41f3d413, 0x924c95ec, 0x41ee7174, 0x92495946,
-    0x41e90eac, 0x92461ce3,
-  0x41e3abbc, 0x9242e0c4, 0x41de48a3, 0x923fa4e8, 0x41d8e561, 0x923c6950,
-    0x41d381f7, 0x92392dfc,
-  0x41ce1e65, 0x9235f2ec, 0x41c8baa9, 0x9232b81f, 0x41c356c5, 0x922f7d96,
-    0x41bdf2b9, 0x922c4351,
-  0x41b88e84, 0x9229094f, 0x41b32a26, 0x9225cf91, 0x41adc5a0, 0x92229617,
-    0x41a860f1, 0x921f5ce1,
-  0x41a2fc1a, 0x921c23ef, 0x419d971b, 0x9218eb40, 0x419831f3, 0x9215b2d5,
-    0x4192cca2, 0x92127aae,
-  0x418d6729, 0x920f42cb, 0x41880188, 0x920c0b2c, 0x41829bbe, 0x9208d3d0,
-    0x417d35cb, 0x92059cb8,
-  0x4177cfb1, 0x920265e4, 0x4172696e, 0x91ff2f54, 0x416d0302, 0x91fbf908,
-    0x41679c6f, 0x91f8c300,
-  0x416235b2, 0x91f58d3b, 0x415ccece, 0x91f257bb, 0x415767c1, 0x91ef227e,
-    0x4152008c, 0x91ebed85,
-  0x414c992f, 0x91e8b8d0, 0x414731a9, 0x91e5845f, 0x4141c9fb, 0x91e25032,
-    0x413c6225, 0x91df1c49,
-  0x4136fa27, 0x91dbe8a4, 0x41319200, 0x91d8b542, 0x412c29b1, 0x91d58225,
-    0x4126c13a, 0x91d24f4c,
-  0x4121589b, 0x91cf1cb6, 0x411befd3, 0x91cbea65, 0x411686e4, 0x91c8b857,
-    0x41111dcc, 0x91c5868e,
-  0x410bb48c, 0x91c25508, 0x41064b24, 0x91bf23c7, 0x4100e194, 0x91bbf2c9,
-    0x40fb77dc, 0x91b8c210,
-  0x40f60dfb, 0x91b5919a, 0x40f0a3f3, 0x91b26169, 0x40eb39c3, 0x91af317c,
-    0x40e5cf6a, 0x91ac01d2,
-  0x40e064ea, 0x91a8d26d, 0x40dafa41, 0x91a5a34c, 0x40d58f71, 0x91a2746f,
-    0x40d02478, 0x919f45d6,
-  0x40cab958, 0x919c1781, 0x40c54e0f, 0x9198e970, 0x40bfe29f, 0x9195bba3,
-    0x40ba7706, 0x91928e1a,
-  0x40b50b46, 0x918f60d6, 0x40af9f5e, 0x918c33d5, 0x40aa334e, 0x91890719,
-    0x40a4c716, 0x9185daa1,
-  0x409f5ab6, 0x9182ae6d, 0x4099ee2e, 0x917f827d, 0x4094817f, 0x917c56d1,
-    0x408f14a7, 0x91792b6a,
-  0x4089a7a8, 0x91760047, 0x40843a81, 0x9172d567, 0x407ecd32, 0x916faacc,
-    0x40795fbc, 0x916c8076,
-  0x4073f21d, 0x91695663, 0x406e8457, 0x91662c95, 0x40691669, 0x9163030b,
-    0x4063a854, 0x915fd9c5,
-  0x405e3a16, 0x915cb0c3, 0x4058cbb1, 0x91598806, 0x40535d24, 0x91565f8d,
-    0x404dee70, 0x91533758,
-  0x40487f94, 0x91500f67, 0x40431090, 0x914ce7bb, 0x403da165, 0x9149c053,
-    0x40383212, 0x9146992f,
-  0x4032c297, 0x91437250, 0x402d52f5, 0x91404bb5, 0x4027e32b, 0x913d255e,
-    0x4022733a, 0x9139ff4b,
-  0x401d0321, 0x9136d97d, 0x401792e0, 0x9133b3f3, 0x40122278, 0x91308eae,
-    0x400cb1e9, 0x912d69ad,
-  0x40074132, 0x912a44f0, 0x4001d053, 0x91272078, 0x3ffc5f4d, 0x9123fc44,
-    0x3ff6ee1f, 0x9120d854,
-  0x3ff17cca, 0x911db4a9, 0x3fec0b4e, 0x911a9142, 0x3fe699aa, 0x91176e1f,
-    0x3fe127df, 0x91144b41,
-  0x3fdbb5ec, 0x911128a8, 0x3fd643d2, 0x910e0653, 0x3fd0d191, 0x910ae442,
-    0x3fcb5f28, 0x9107c276,
-  0x3fc5ec98, 0x9104a0ee, 0x3fc079e0, 0x91017faa, 0x3fbb0702, 0x90fe5eab,
-    0x3fb593fb, 0x90fb3df1,
-  0x3fb020ce, 0x90f81d7b, 0x3faaad79, 0x90f4fd4a, 0x3fa539fd, 0x90f1dd5d,
-    0x3f9fc65a, 0x90eebdb4,
-  0x3f9a5290, 0x90eb9e50, 0x3f94de9e, 0x90e87f31, 0x3f8f6a85, 0x90e56056,
-    0x3f89f645, 0x90e241bf,
-  0x3f8481dd, 0x90df236e, 0x3f7f0d4f, 0x90dc0560, 0x3f799899, 0x90d8e798,
-    0x3f7423bc, 0x90d5ca13,
-  0x3f6eaeb8, 0x90d2acd4, 0x3f69398d, 0x90cf8fd9, 0x3f63c43b, 0x90cc7322,
-    0x3f5e4ec2, 0x90c956b1,
-  0x3f58d921, 0x90c63a83, 0x3f53635a, 0x90c31e9b, 0x3f4ded6b, 0x90c002f7,
-    0x3f487755, 0x90bce797,
-  0x3f430119, 0x90b9cc7d, 0x3f3d8ab5, 0x90b6b1a6, 0x3f38142a, 0x90b39715,
-    0x3f329d79, 0x90b07cc8,
-  0x3f2d26a0, 0x90ad62c0, 0x3f27afa1, 0x90aa48fd, 0x3f22387a, 0x90a72f7e,
-    0x3f1cc12c, 0x90a41644,
-  0x3f1749b8, 0x90a0fd4e, 0x3f11d21d, 0x909de49e, 0x3f0c5a5a, 0x909acc32,
-    0x3f06e271, 0x9097b40a,
-  0x3f016a61, 0x90949c28, 0x3efbf22a, 0x9091848a, 0x3ef679cc, 0x908e6d31,
-    0x3ef10148, 0x908b561c,
-  0x3eeb889c, 0x90883f4d, 0x3ee60fca, 0x908528c2, 0x3ee096d1, 0x9082127c,
-    0x3edb1db1, 0x907efc7a,
-  0x3ed5a46b, 0x907be6be, 0x3ed02afd, 0x9078d146, 0x3ecab169, 0x9075bc13,
-    0x3ec537ae, 0x9072a725,
-  0x3ebfbdcd, 0x906f927c, 0x3eba43c4, 0x906c7e17, 0x3eb4c995, 0x906969f8,
-    0x3eaf4f40, 0x9066561d,
-  0x3ea9d4c3, 0x90634287, 0x3ea45a21, 0x90602f35, 0x3e9edf57, 0x905d1c29,
-    0x3e996467, 0x905a0962,
-  0x3e93e950, 0x9056f6df, 0x3e8e6e12, 0x9053e4a1, 0x3e88f2ae, 0x9050d2a9,
-    0x3e837724, 0x904dc0f5,
-  0x3e7dfb73, 0x904aaf86, 0x3e787f9b, 0x90479e5c, 0x3e73039d, 0x90448d76,
-    0x3e6d8778, 0x90417cd6,
-  0x3e680b2c, 0x903e6c7b, 0x3e628ebb, 0x903b5c64, 0x3e5d1222, 0x90384c93,
-    0x3e579564, 0x90353d06,
-  0x3e52187f, 0x90322dbf, 0x3e4c9b73, 0x902f1ebc, 0x3e471e41, 0x902c0fff,
-    0x3e41a0e8, 0x90290186,
-  0x3e3c2369, 0x9025f352, 0x3e36a5c4, 0x9022e564, 0x3e3127f9, 0x901fd7ba,
-    0x3e2baa07, 0x901cca55,
-  0x3e262bee, 0x9019bd36, 0x3e20adaf, 0x9016b05b, 0x3e1b2f4a, 0x9013a3c5,
-    0x3e15b0bf, 0x90109775,
-  0x3e10320d, 0x900d8b69, 0x3e0ab336, 0x900a7fa3, 0x3e053437, 0x90077422,
-    0x3dffb513, 0x900468e5,
-  0x3dfa35c8, 0x90015dee, 0x3df4b657, 0x8ffe533c, 0x3def36c0, 0x8ffb48cf,
-    0x3de9b703, 0x8ff83ea7,
-  0x3de4371f, 0x8ff534c4, 0x3ddeb716, 0x8ff22b26, 0x3dd936e6, 0x8fef21ce,
-    0x3dd3b690, 0x8fec18ba,
-  0x3dce3614, 0x8fe90fec, 0x3dc8b571, 0x8fe60763, 0x3dc334a9, 0x8fe2ff1f,
-    0x3dbdb3ba, 0x8fdff720,
-  0x3db832a6, 0x8fdcef66, 0x3db2b16b, 0x8fd9e7f2, 0x3dad300b, 0x8fd6e0c2,
-    0x3da7ae84, 0x8fd3d9d8,
-  0x3da22cd7, 0x8fd0d333, 0x3d9cab04, 0x8fcdccd3, 0x3d97290b, 0x8fcac6b9,
-    0x3d91a6ed, 0x8fc7c0e3,
-  0x3d8c24a8, 0x8fc4bb53, 0x3d86a23d, 0x8fc1b608, 0x3d811fac, 0x8fbeb103,
-    0x3d7b9cf6, 0x8fbbac42,
-  0x3d761a19, 0x8fb8a7c7, 0x3d709717, 0x8fb5a391, 0x3d6b13ee, 0x8fb29fa0,
-    0x3d6590a0, 0x8faf9bf5,
-  0x3d600d2c, 0x8fac988f, 0x3d5a8992, 0x8fa9956e, 0x3d5505d2, 0x8fa69293,
-    0x3d4f81ec, 0x8fa38ffc,
-  0x3d49fde1, 0x8fa08dab, 0x3d4479b0, 0x8f9d8ba0, 0x3d3ef559, 0x8f9a89da,
-    0x3d3970dc, 0x8f978859,
-  0x3d33ec39, 0x8f94871d, 0x3d2e6771, 0x8f918627, 0x3d28e282, 0x8f8e8576,
-    0x3d235d6f, 0x8f8b850a,
-  0x3d1dd835, 0x8f8884e4, 0x3d1852d6, 0x8f858503, 0x3d12cd51, 0x8f828568,
-    0x3d0d47a6, 0x8f7f8612,
-  0x3d07c1d6, 0x8f7c8701, 0x3d023be0, 0x8f798836, 0x3cfcb5c4, 0x8f7689b0,
-    0x3cf72f83, 0x8f738b70,
-  0x3cf1a91c, 0x8f708d75, 0x3cec2290, 0x8f6d8fbf, 0x3ce69bde, 0x8f6a924f,
-    0x3ce11507, 0x8f679525,
-  0x3cdb8e09, 0x8f649840, 0x3cd606e7, 0x8f619ba0, 0x3cd07f9f, 0x8f5e9f46,
-    0x3ccaf831, 0x8f5ba331,
-  0x3cc5709e, 0x8f58a761, 0x3cbfe8e5, 0x8f55abd8, 0x3cba6107, 0x8f52b093,
-    0x3cb4d904, 0x8f4fb595,
-  0x3caf50da, 0x8f4cbadb, 0x3ca9c88c, 0x8f49c067, 0x3ca44018, 0x8f46c639,
-    0x3c9eb77f, 0x8f43cc50,
-  0x3c992ec0, 0x8f40d2ad, 0x3c93a5dc, 0x8f3dd950, 0x3c8e1cd3, 0x8f3ae038,
-    0x3c8893a4, 0x8f37e765,
-  0x3c830a50, 0x8f34eed8, 0x3c7d80d6, 0x8f31f691, 0x3c77f737, 0x8f2efe8f,
-    0x3c726d73, 0x8f2c06d3,
-  0x3c6ce38a, 0x8f290f5c, 0x3c67597b, 0x8f26182b, 0x3c61cf48, 0x8f232140,
-    0x3c5c44ee, 0x8f202a9a,
-  0x3c56ba70, 0x8f1d343a, 0x3c512fcc, 0x8f1a3e1f, 0x3c4ba504, 0x8f17484b,
-    0x3c461a16, 0x8f1452bb,
-  0x3c408f03, 0x8f115d72, 0x3c3b03ca, 0x8f0e686e, 0x3c35786d, 0x8f0b73b0,
-    0x3c2fecea, 0x8f087f37,
-  0x3c2a6142, 0x8f058b04, 0x3c24d575, 0x8f029717, 0x3c1f4983, 0x8effa370,
-    0x3c19bd6c, 0x8efcb00e,
-  0x3c143130, 0x8ef9bcf2, 0x3c0ea4cf, 0x8ef6ca1c, 0x3c091849, 0x8ef3d78b,
-    0x3c038b9e, 0x8ef0e540,
-  0x3bfdfecd, 0x8eedf33b, 0x3bf871d8, 0x8eeb017c, 0x3bf2e4be, 0x8ee81002,
-    0x3bed577e, 0x8ee51ece,
-  0x3be7ca1a, 0x8ee22de0, 0x3be23c91, 0x8edf3d38, 0x3bdcaee3, 0x8edc4cd5,
-    0x3bd72110, 0x8ed95cb8,
-  0x3bd19318, 0x8ed66ce1, 0x3bcc04fb, 0x8ed37d50, 0x3bc676b9, 0x8ed08e05,
-    0x3bc0e853, 0x8ecd9eff,
-  0x3bbb59c7, 0x8ecab040, 0x3bb5cb17, 0x8ec7c1c6, 0x3bb03c42, 0x8ec4d392,
-    0x3baaad48, 0x8ec1e5a4,
-  0x3ba51e29, 0x8ebef7fb, 0x3b9f8ee5, 0x8ebc0a99, 0x3b99ff7d, 0x8eb91d7c,
-    0x3b946ff0, 0x8eb630a6,
-  0x3b8ee03e, 0x8eb34415, 0x3b895068, 0x8eb057ca, 0x3b83c06c, 0x8ead6bc5,
-    0x3b7e304c, 0x8eaa8006,
-  0x3b78a007, 0x8ea7948c, 0x3b730f9e, 0x8ea4a959, 0x3b6d7f10, 0x8ea1be6c,
-    0x3b67ee5d, 0x8e9ed3c4,
-  0x3b625d86, 0x8e9be963, 0x3b5ccc8a, 0x8e98ff47, 0x3b573b69, 0x8e961571,
-    0x3b51aa24, 0x8e932be2,
-  0x3b4c18ba, 0x8e904298, 0x3b46872c, 0x8e8d5994, 0x3b40f579, 0x8e8a70d7,
-    0x3b3b63a1, 0x8e87885f,
-  0x3b35d1a5, 0x8e84a02d, 0x3b303f84, 0x8e81b841, 0x3b2aad3f, 0x8e7ed09b,
-    0x3b251ad6, 0x8e7be93c,
-  0x3b1f8848, 0x8e790222, 0x3b19f595, 0x8e761b4e, 0x3b1462be, 0x8e7334c1,
-    0x3b0ecfc3, 0x8e704e79,
-  0x3b093ca3, 0x8e6d6877, 0x3b03a95e, 0x8e6a82bc, 0x3afe15f6, 0x8e679d47,
-    0x3af88269, 0x8e64b817,
-  0x3af2eeb7, 0x8e61d32e, 0x3aed5ae1, 0x8e5eee8b, 0x3ae7c6e7, 0x8e5c0a2e,
-    0x3ae232c9, 0x8e592617,
-  0x3adc9e86, 0x8e564246, 0x3ad70a1f, 0x8e535ebb, 0x3ad17593, 0x8e507b76,
-    0x3acbe0e3, 0x8e4d9878,
-  0x3ac64c0f, 0x8e4ab5bf, 0x3ac0b717, 0x8e47d34d, 0x3abb21fb, 0x8e44f121,
-    0x3ab58cba, 0x8e420f3b,
-  0x3aaff755, 0x8e3f2d9b, 0x3aaa61cc, 0x8e3c4c41, 0x3aa4cc1e, 0x8e396b2e,
-    0x3a9f364d, 0x8e368a61,
-  0x3a99a057, 0x8e33a9da, 0x3a940a3e, 0x8e30c999, 0x3a8e7400, 0x8e2de99e,
-    0x3a88dd9d, 0x8e2b09e9,
-  0x3a834717, 0x8e282a7b, 0x3a7db06d, 0x8e254b53, 0x3a78199f, 0x8e226c71,
-    0x3a7282ac, 0x8e1f8dd6,
-  0x3a6ceb96, 0x8e1caf80, 0x3a67545b, 0x8e19d171, 0x3a61bcfd, 0x8e16f3a9,
-    0x3a5c257a, 0x8e141626,
-  0x3a568dd4, 0x8e1138ea, 0x3a50f609, 0x8e0e5bf4, 0x3a4b5e1b, 0x8e0b7f44,
-    0x3a45c608, 0x8e08a2db,
-  0x3a402dd2, 0x8e05c6b7, 0x3a3a9577, 0x8e02eadb, 0x3a34fcf9, 0x8e000f44,
-    0x3a2f6457, 0x8dfd33f4,
-  0x3a29cb91, 0x8dfa58ea, 0x3a2432a7, 0x8df77e27, 0x3a1e9999, 0x8df4a3a9,
-    0x3a190068, 0x8df1c973,
-  0x3a136712, 0x8deeef82, 0x3a0dcd99, 0x8dec15d8, 0x3a0833fc, 0x8de93c74,
-    0x3a029a3b, 0x8de66357,
-  0x39fd0056, 0x8de38a80, 0x39f7664e, 0x8de0b1ef, 0x39f1cc21, 0x8dddd9a5,
-    0x39ec31d1, 0x8ddb01a1,
-  0x39e6975e, 0x8dd829e4, 0x39e0fcc6, 0x8dd5526d, 0x39db620b, 0x8dd27b3c,
-    0x39d5c72c, 0x8dcfa452,
-  0x39d02c2a, 0x8dcccdaf, 0x39ca9104, 0x8dc9f751, 0x39c4f5ba, 0x8dc7213b,
-    0x39bf5a4d, 0x8dc44b6a,
-  0x39b9bebc, 0x8dc175e0, 0x39b42307, 0x8dbea09d, 0x39ae872f, 0x8dbbcba0,
-    0x39a8eb33, 0x8db8f6ea,
-  0x39a34f13, 0x8db6227a, 0x399db2d0, 0x8db34e50, 0x3998166a, 0x8db07a6d,
-    0x399279e0, 0x8dada6d1,
-  0x398cdd32, 0x8daad37b, 0x39874061, 0x8da8006c, 0x3981a36d, 0x8da52da3,
-    0x397c0655, 0x8da25b21,
-  0x39766919, 0x8d9f88e5, 0x3970cbba, 0x8d9cb6f0, 0x396b2e38, 0x8d99e541,
-    0x39659092, 0x8d9713d9,
-  0x395ff2c9, 0x8d9442b8, 0x395a54dd, 0x8d9171dd, 0x3954b6cd, 0x8d8ea148,
-    0x394f1899, 0x8d8bd0fb,
-  0x39497a43, 0x8d8900f3, 0x3943dbc9, 0x8d863133, 0x393e3d2c, 0x8d8361b9,
-    0x39389e6b, 0x8d809286,
-  0x3932ff87, 0x8d7dc399, 0x392d6080, 0x8d7af4f3, 0x3927c155, 0x8d782694,
-    0x39222208, 0x8d75587b,
-  0x391c8297, 0x8d728aa9, 0x3916e303, 0x8d6fbd1d, 0x3911434b, 0x8d6cefd9,
-    0x390ba371, 0x8d6a22db,
-  0x39060373, 0x8d675623, 0x39006352, 0x8d6489b3, 0x38fac30e, 0x8d61bd89,
-    0x38f522a6, 0x8d5ef1a5,
-  0x38ef821c, 0x8d5c2609, 0x38e9e16e, 0x8d595ab3, 0x38e4409e, 0x8d568fa4,
-    0x38de9faa, 0x8d53c4db,
-  0x38d8fe93, 0x8d50fa59, 0x38d35d59, 0x8d4e301f, 0x38cdbbfc, 0x8d4b662a,
-    0x38c81a7c, 0x8d489c7d,
-  0x38c278d9, 0x8d45d316, 0x38bcd713, 0x8d4309f6, 0x38b7352a, 0x8d40411d,
-    0x38b1931e, 0x8d3d788b,
-  0x38abf0ef, 0x8d3ab03f, 0x38a64e9d, 0x8d37e83a, 0x38a0ac29, 0x8d35207d,
-    0x389b0991, 0x8d325905,
-  0x389566d6, 0x8d2f91d5, 0x388fc3f8, 0x8d2ccaec, 0x388a20f8, 0x8d2a0449,
-    0x38847dd5, 0x8d273ded,
-  0x387eda8e, 0x8d2477d8, 0x38793725, 0x8d21b20a, 0x38739399, 0x8d1eec83,
-    0x386defeb, 0x8d1c2742,
-  0x38684c19, 0x8d196249, 0x3862a825, 0x8d169d96, 0x385d040d, 0x8d13d92a,
-    0x38575fd4, 0x8d111505,
-  0x3851bb77, 0x8d0e5127, 0x384c16f7, 0x8d0b8d90, 0x38467255, 0x8d08ca40,
-    0x3840cd90, 0x8d060737,
-  0x383b28a9, 0x8d034474, 0x3835839f, 0x8d0081f9, 0x382fde72, 0x8cfdbfc4,
-    0x382a3922, 0x8cfafdd7,
-  0x382493b0, 0x8cf83c30, 0x381eee1b, 0x8cf57ad0, 0x38194864, 0x8cf2b9b8,
-    0x3813a28a, 0x8ceff8e6,
-  0x380dfc8d, 0x8ced385b, 0x3808566e, 0x8cea7818, 0x3802b02c, 0x8ce7b81b,
-    0x37fd09c8, 0x8ce4f865,
-  0x37f76341, 0x8ce238f6, 0x37f1bc97, 0x8cdf79ce, 0x37ec15cb, 0x8cdcbaee,
-    0x37e66edd, 0x8cd9fc54,
-  0x37e0c7cc, 0x8cd73e01, 0x37db2099, 0x8cd47ff6, 0x37d57943, 0x8cd1c231,
-    0x37cfd1cb, 0x8ccf04b3,
-  0x37ca2a30, 0x8ccc477d, 0x37c48273, 0x8cc98a8e, 0x37beda93, 0x8cc6cde5,
-    0x37b93292, 0x8cc41184,
-  0x37b38a6d, 0x8cc1556a, 0x37ade227, 0x8cbe9996, 0x37a839be, 0x8cbbde0a,
-    0x37a29132, 0x8cb922c6,
-  0x379ce885, 0x8cb667c8, 0x37973fb5, 0x8cb3ad11, 0x379196c3, 0x8cb0f2a1,
-    0x378bedae, 0x8cae3879,
-  0x37864477, 0x8cab7e98, 0x37809b1e, 0x8ca8c4fd, 0x377af1a3, 0x8ca60baa,
-    0x37754806, 0x8ca3529f,
-  0x376f9e46, 0x8ca099da, 0x3769f464, 0x8c9de15c, 0x37644a60, 0x8c9b2926,
-    0x375ea03a, 0x8c987137,
-  0x3758f5f2, 0x8c95b98f, 0x37534b87, 0x8c93022e, 0x374da0fa, 0x8c904b14,
-    0x3747f64c, 0x8c8d9442,
-  0x37424b7b, 0x8c8addb7, 0x373ca088, 0x8c882773, 0x3736f573, 0x8c857176,
-    0x37314a3c, 0x8c82bbc0,
-  0x372b9ee3, 0x8c800652, 0x3725f367, 0x8c7d512b, 0x372047ca, 0x8c7a9c4b,
-    0x371a9c0b, 0x8c77e7b3,
-  0x3714f02a, 0x8c753362, 0x370f4427, 0x8c727f58, 0x37099802, 0x8c6fcb95,
-    0x3703ebbb, 0x8c6d181a,
-  0x36fe3f52, 0x8c6a64e5, 0x36f892c7, 0x8c67b1f9, 0x36f2e61a, 0x8c64ff53,
-    0x36ed394b, 0x8c624cf5,
-  0x36e78c5b, 0x8c5f9ade, 0x36e1df48, 0x8c5ce90e, 0x36dc3214, 0x8c5a3786,
-    0x36d684be, 0x8c578645,
-  0x36d0d746, 0x8c54d54c, 0x36cb29ac, 0x8c522499, 0x36c57bf0, 0x8c4f742f,
-    0x36bfce13, 0x8c4cc40b,
-  0x36ba2014, 0x8c4a142f, 0x36b471f3, 0x8c47649a, 0x36aec3b0, 0x8c44b54d,
-    0x36a9154c, 0x8c420647,
-  0x36a366c6, 0x8c3f5788, 0x369db81e, 0x8c3ca911, 0x36980954, 0x8c39fae1,
-    0x36925a69, 0x8c374cf9,
-  0x368cab5c, 0x8c349f58, 0x3686fc2e, 0x8c31f1ff, 0x36814cde, 0x8c2f44ed,
-    0x367b9d6c, 0x8c2c9822,
-  0x3675edd9, 0x8c29eb9f, 0x36703e24, 0x8c273f63, 0x366a8e4d, 0x8c24936f,
-    0x3664de55, 0x8c21e7c2,
-  0x365f2e3b, 0x8c1f3c5d, 0x36597e00, 0x8c1c913f, 0x3653cda3, 0x8c19e669,
-    0x364e1d25, 0x8c173bda,
-  0x36486c86, 0x8c149192, 0x3642bbc4, 0x8c11e792, 0x363d0ae2, 0x8c0f3dda,
-    0x363759de, 0x8c0c9469,
-  0x3631a8b8, 0x8c09eb40, 0x362bf771, 0x8c07425e, 0x36264609, 0x8c0499c4,
-    0x3620947f, 0x8c01f171,
-  0x361ae2d3, 0x8bff4966, 0x36153107, 0x8bfca1a3, 0x360f7f19, 0x8bf9fa27,
-    0x3609cd0a, 0x8bf752f2,
-  0x36041ad9, 0x8bf4ac05, 0x35fe6887, 0x8bf20560, 0x35f8b614, 0x8bef5f02,
-    0x35f3037f, 0x8becb8ec,
-  0x35ed50c9, 0x8bea131e, 0x35e79df2, 0x8be76d97, 0x35e1eafa, 0x8be4c857,
-    0x35dc37e0, 0x8be22360,
-  0x35d684a6, 0x8bdf7eb0, 0x35d0d14a, 0x8bdcda47, 0x35cb1dcc, 0x8bda3626,
-    0x35c56a2e, 0x8bd7924d,
-  0x35bfb66e, 0x8bd4eebc, 0x35ba028e, 0x8bd24b72, 0x35b44e8c, 0x8bcfa870,
-    0x35ae9a69, 0x8bcd05b5,
-  0x35a8e625, 0x8bca6343, 0x35a331c0, 0x8bc7c117, 0x359d7d39, 0x8bc51f34,
-    0x3597c892, 0x8bc27d98,
-  0x359213c9, 0x8bbfdc44, 0x358c5ee0, 0x8bbd3b38, 0x3586a9d5, 0x8bba9a73,
-    0x3580f4aa, 0x8bb7f9f6,
-  0x357b3f5d, 0x8bb559c1, 0x357589f0, 0x8bb2b9d4, 0x356fd461, 0x8bb01a2e,
-    0x356a1eb2, 0x8bad7ad0,
-  0x356468e2, 0x8baadbba, 0x355eb2f0, 0x8ba83cec, 0x3558fcde, 0x8ba59e65,
-    0x355346ab, 0x8ba30026,
-  0x354d9057, 0x8ba0622f, 0x3547d9e2, 0x8b9dc480, 0x3542234c, 0x8b9b2718,
-    0x353c6c95, 0x8b9889f8,
-  0x3536b5be, 0x8b95ed21, 0x3530fec6, 0x8b935090, 0x352b47ad, 0x8b90b448,
-    0x35259073, 0x8b8e1848,
-  0x351fd918, 0x8b8b7c8f, 0x351a219c, 0x8b88e11e, 0x35146a00, 0x8b8645f5,
-    0x350eb243, 0x8b83ab14,
-  0x3508fa66, 0x8b81107b, 0x35034267, 0x8b7e7629, 0x34fd8a48, 0x8b7bdc20,
-    0x34f7d208, 0x8b79425e,
-  0x34f219a8, 0x8b76a8e4, 0x34ec6127, 0x8b740fb3, 0x34e6a885, 0x8b7176c8,
-    0x34e0efc2, 0x8b6ede26,
-  0x34db36df, 0x8b6c45cc, 0x34d57ddc, 0x8b69adba, 0x34cfc4b7, 0x8b6715ef,
-    0x34ca0b73, 0x8b647e6d,
-  0x34c4520d, 0x8b61e733, 0x34be9887, 0x8b5f5040, 0x34b8dee1, 0x8b5cb995,
-    0x34b3251a, 0x8b5a2333,
-  0x34ad6b32, 0x8b578d18, 0x34a7b12a, 0x8b54f745, 0x34a1f702, 0x8b5261ba,
-    0x349c3cb9, 0x8b4fcc77,
-  0x34968250, 0x8b4d377c, 0x3490c7c6, 0x8b4aa2ca, 0x348b0d1c, 0x8b480e5f,
-    0x34855251, 0x8b457a3c,
-  0x347f9766, 0x8b42e661, 0x3479dc5b, 0x8b4052ce, 0x3474212f, 0x8b3dbf83,
-    0x346e65e3, 0x8b3b2c80,
-  0x3468aa76, 0x8b3899c6, 0x3462eee9, 0x8b360753, 0x345d333c, 0x8b337528,
-    0x3457776f, 0x8b30e345,
-  0x3451bb81, 0x8b2e51ab, 0x344bff73, 0x8b2bc058, 0x34464345, 0x8b292f4e,
-    0x344086f6, 0x8b269e8b,
-  0x343aca87, 0x8b240e11, 0x34350df8, 0x8b217ddf, 0x342f5149, 0x8b1eedf4,
-    0x3429947a, 0x8b1c5e52,
-  0x3423d78a, 0x8b19cef8, 0x341e1a7b, 0x8b173fe6, 0x34185d4b, 0x8b14b11d,
-    0x34129ffb, 0x8b12229b,
-  0x340ce28b, 0x8b0f9462, 0x340724fb, 0x8b0d0670, 0x3401674a, 0x8b0a78c7,
-    0x33fba97a, 0x8b07eb66,
-  0x33f5eb89, 0x8b055e4d, 0x33f02d79, 0x8b02d17c, 0x33ea6f48, 0x8b0044f3,
-    0x33e4b0f8, 0x8afdb8b3,
-  0x33def287, 0x8afb2cbb, 0x33d933f7, 0x8af8a10b, 0x33d37546, 0x8af615a3,
-    0x33cdb676, 0x8af38a83,
-  0x33c7f785, 0x8af0ffac, 0x33c23875, 0x8aee751c, 0x33bc7944, 0x8aebead5,
-    0x33b6b9f4, 0x8ae960d6,
-  0x33b0fa84, 0x8ae6d720, 0x33ab3af4, 0x8ae44db1, 0x33a57b44, 0x8ae1c48b,
-    0x339fbb74, 0x8adf3bad,
-  0x3399fb85, 0x8adcb318, 0x33943b75, 0x8ada2aca, 0x338e7b46, 0x8ad7a2c5,
-    0x3388baf7, 0x8ad51b08,
-  0x3382fa88, 0x8ad29394, 0x337d39f9, 0x8ad00c67, 0x3377794b, 0x8acd8583,
-    0x3371b87d, 0x8acafee8,
-  0x336bf78f, 0x8ac87894, 0x33663682, 0x8ac5f289, 0x33607554, 0x8ac36cc6,
-    0x335ab407, 0x8ac0e74c,
-  0x3354f29b, 0x8abe6219, 0x334f310e, 0x8abbdd30, 0x33496f62, 0x8ab9588e,
-    0x3343ad97, 0x8ab6d435,
-  0x333debab, 0x8ab45024, 0x333829a1, 0x8ab1cc5c, 0x33326776, 0x8aaf48db,
-    0x332ca52c, 0x8aacc5a4,
-  0x3326e2c3, 0x8aaa42b4, 0x33212039, 0x8aa7c00d, 0x331b5d91, 0x8aa53daf,
-    0x33159ac8, 0x8aa2bb99,
-  0x330fd7e1, 0x8aa039cb, 0x330a14da, 0x8a9db845, 0x330451b3, 0x8a9b3708,
-    0x32fe8e6d, 0x8a98b614,
-  0x32f8cb07, 0x8a963567, 0x32f30782, 0x8a93b504, 0x32ed43de, 0x8a9134e8,
-    0x32e7801a, 0x8a8eb516,
-  0x32e1bc36, 0x8a8c358b, 0x32dbf834, 0x8a89b649, 0x32d63412, 0x8a873750,
-    0x32d06fd0, 0x8a84b89e,
-  0x32caab6f, 0x8a823a36, 0x32c4e6ef, 0x8a7fbc16, 0x32bf2250, 0x8a7d3e3e,
-    0x32b95d91, 0x8a7ac0af,
-  0x32b398b3, 0x8a784368, 0x32add3b6, 0x8a75c66a, 0x32a80e99, 0x8a7349b4,
-    0x32a2495d, 0x8a70cd47,
-  0x329c8402, 0x8a6e5123, 0x3296be88, 0x8a6bd547, 0x3290f8ef, 0x8a6959b3,
-    0x328b3336, 0x8a66de68,
-  0x32856d5e, 0x8a646365, 0x327fa767, 0x8a61e8ab, 0x3279e151, 0x8a5f6e3a,
-    0x32741b1c, 0x8a5cf411,
-  0x326e54c7, 0x8a5a7a31, 0x32688e54, 0x8a580099, 0x3262c7c1, 0x8a55874a,
-    0x325d0110, 0x8a530e43,
-  0x32573a3f, 0x8a509585, 0x3251734f, 0x8a4e1d10, 0x324bac40, 0x8a4ba4e3,
-    0x3245e512, 0x8a492cff,
-  0x32401dc6, 0x8a46b564, 0x323a565a, 0x8a443e11, 0x32348ecf, 0x8a41c706,
-    0x322ec725, 0x8a3f5045,
-  0x3228ff5c, 0x8a3cd9cc, 0x32233775, 0x8a3a639b, 0x321d6f6e, 0x8a37edb3,
-    0x3217a748, 0x8a357814,
-  0x3211df04, 0x8a3302be, 0x320c16a1, 0x8a308db0, 0x32064e1e, 0x8a2e18eb,
-    0x3200857d, 0x8a2ba46e,
-  0x31fabcbd, 0x8a29303b, 0x31f4f3df, 0x8a26bc50, 0x31ef2ae1, 0x8a2448ad,
-    0x31e961c5, 0x8a21d554,
-  0x31e39889, 0x8a1f6243, 0x31ddcf30, 0x8a1cef7a, 0x31d805b7, 0x8a1a7cfb,
-    0x31d23c1f, 0x8a180ac4,
-  0x31cc7269, 0x8a1598d6, 0x31c6a894, 0x8a132731, 0x31c0dea1, 0x8a10b5d4,
-    0x31bb148f, 0x8a0e44c0,
-  0x31b54a5e, 0x8a0bd3f5, 0x31af800e, 0x8a096373, 0x31a9b5a0, 0x8a06f339,
-    0x31a3eb13, 0x8a048348,
-  0x319e2067, 0x8a0213a0, 0x3198559d, 0x89ffa441, 0x31928ab4, 0x89fd352b,
-    0x318cbfad, 0x89fac65d,
-  0x3186f487, 0x89f857d8, 0x31812943, 0x89f5e99c, 0x317b5de0, 0x89f37ba9,
-    0x3175925e, 0x89f10dff,
-  0x316fc6be, 0x89eea09d, 0x3169fb00, 0x89ec3384, 0x31642f23, 0x89e9c6b4,
-    0x315e6328, 0x89e75a2d,
-  0x3158970e, 0x89e4edef, 0x3152cad5, 0x89e281fa, 0x314cfe7f, 0x89e0164d,
-    0x31473209, 0x89ddaae9,
-  0x31416576, 0x89db3fcf, 0x313b98c4, 0x89d8d4fd, 0x3135cbf4, 0x89d66a74,
-    0x312fff05, 0x89d40033,
-  0x312a31f8, 0x89d1963c, 0x312464cd, 0x89cf2c8e, 0x311e9783, 0x89ccc328,
-    0x3118ca1b, 0x89ca5a0c,
-  0x3112fc95, 0x89c7f138, 0x310d2ef0, 0x89c588ae, 0x3107612e, 0x89c3206c,
-    0x3101934d, 0x89c0b873,
-  0x30fbc54d, 0x89be50c3, 0x30f5f730, 0x89bbe95c, 0x30f028f4, 0x89b9823e,
-    0x30ea5a9a, 0x89b71b69,
-  0x30e48c22, 0x89b4b4dd, 0x30debd8c, 0x89b24e9a, 0x30d8eed8, 0x89afe8a0,
-    0x30d32006, 0x89ad82ef,
-  0x30cd5115, 0x89ab1d87, 0x30c78206, 0x89a8b868, 0x30c1b2da, 0x89a65391,
-    0x30bbe38f, 0x89a3ef04,
-  0x30b61426, 0x89a18ac0, 0x30b0449f, 0x899f26c5, 0x30aa74fa, 0x899cc313,
-    0x30a4a537, 0x899a5faa,
-  0x309ed556, 0x8997fc8a, 0x30990557, 0x899599b3, 0x3093353a, 0x89933725,
-    0x308d64ff, 0x8990d4e0,
-  0x308794a6, 0x898e72e4, 0x3081c42f, 0x898c1131, 0x307bf39b, 0x8989afc8,
-    0x307622e8, 0x89874ea7,
-  0x30705217, 0x8984edcf, 0x306a8129, 0x89828d41, 0x3064b01d, 0x89802cfc,
-    0x305edef3, 0x897dccff,
-  0x30590dab, 0x897b6d4c, 0x30533c45, 0x89790de2, 0x304d6ac1, 0x8976aec1,
-    0x30479920, 0x89744fe9,
-  0x3041c761, 0x8971f15a, 0x303bf584, 0x896f9315, 0x30362389, 0x896d3518,
-    0x30305171, 0x896ad765,
-  0x302a7f3a, 0x896879fb, 0x3024ace6, 0x89661cda, 0x301eda75, 0x8963c002,
-    0x301907e6, 0x89616373,
-  0x30133539, 0x895f072e, 0x300d626e, 0x895cab31, 0x30078f86, 0x895a4f7e,
-    0x3001bc80, 0x8957f414,
-  0x2ffbe95d, 0x895598f3, 0x2ff6161c, 0x89533e1c, 0x2ff042bd, 0x8950e38e,
-    0x2fea6f41, 0x894e8948,
-  0x2fe49ba7, 0x894c2f4c, 0x2fdec7f0, 0x8949d59a, 0x2fd8f41b, 0x89477c30,
-    0x2fd32028, 0x89452310,
-  0x2fcd4c19, 0x8942ca39, 0x2fc777eb, 0x894071ab, 0x2fc1a3a0, 0x893e1967,
-    0x2fbbcf38, 0x893bc16b,
-  0x2fb5fab2, 0x893969b9, 0x2fb0260f, 0x89371250, 0x2faa514f, 0x8934bb31,
-    0x2fa47c71, 0x8932645b,
-  0x2f9ea775, 0x89300dce, 0x2f98d25d, 0x892db78a, 0x2f92fd26, 0x892b6190,
-    0x2f8d27d3, 0x89290bdf,
-  0x2f875262, 0x8926b677, 0x2f817cd4, 0x89246159, 0x2f7ba729, 0x89220c84,
-    0x2f75d160, 0x891fb7f8,
-  0x2f6ffb7a, 0x891d63b5, 0x2f6a2577, 0x891b0fbc, 0x2f644f56, 0x8918bc0c,
-    0x2f5e7919, 0x891668a6,
-  0x2f58a2be, 0x89141589, 0x2f52cc46, 0x8911c2b5, 0x2f4cf5b0, 0x890f702b,
-    0x2f471efe, 0x890d1dea,
-  0x2f41482e, 0x890acbf2, 0x2f3b7141, 0x89087a44, 0x2f359a37, 0x890628df,
-    0x2f2fc310, 0x8903d7c4,
-  0x2f29ebcc, 0x890186f2, 0x2f24146b, 0x88ff3669, 0x2f1e3ced, 0x88fce62a,
-    0x2f186551, 0x88fa9634,
-  0x2f128d99, 0x88f84687, 0x2f0cb5c3, 0x88f5f724, 0x2f06ddd1, 0x88f3a80b,
-    0x2f0105c1, 0x88f1593b,
-  0x2efb2d95, 0x88ef0ab4, 0x2ef5554b, 0x88ecbc77, 0x2eef7ce5, 0x88ea6e83,
-    0x2ee9a461, 0x88e820d9,
-  0x2ee3cbc1, 0x88e5d378, 0x2eddf304, 0x88e38660, 0x2ed81a29, 0x88e13992,
-    0x2ed24132, 0x88deed0e,
-  0x2ecc681e, 0x88dca0d3, 0x2ec68eed, 0x88da54e1, 0x2ec0b5a0, 0x88d8093a,
-    0x2ebadc35, 0x88d5bddb,
-  0x2eb502ae, 0x88d372c6, 0x2eaf290a, 0x88d127fb, 0x2ea94f49, 0x88cedd79,
-    0x2ea3756b, 0x88cc9340,
-  0x2e9d9b70, 0x88ca4951, 0x2e97c159, 0x88c7ffac, 0x2e91e725, 0x88c5b650,
-    0x2e8c0cd4, 0x88c36d3e,
-  0x2e863267, 0x88c12475, 0x2e8057dd, 0x88bedbf6, 0x2e7a7d36, 0x88bc93c0,
-    0x2e74a272, 0x88ba4bd4,
-  0x2e6ec792, 0x88b80432, 0x2e68ec95, 0x88b5bcd9, 0x2e63117c, 0x88b375ca,
-    0x2e5d3646, 0x88b12f04,
-  0x2e575af3, 0x88aee888, 0x2e517f84, 0x88aca255, 0x2e4ba3f8, 0x88aa5c6c,
-    0x2e45c850, 0x88a816cd,
-  0x2e3fec8b, 0x88a5d177, 0x2e3a10aa, 0x88a38c6b, 0x2e3434ac, 0x88a147a9,
-    0x2e2e5891, 0x889f0330,
-  0x2e287c5a, 0x889cbf01, 0x2e22a007, 0x889a7b1b, 0x2e1cc397, 0x88983780,
-    0x2e16e70b, 0x8895f42d,
-  0x2e110a62, 0x8893b125, 0x2e0b2d9d, 0x88916e66, 0x2e0550bb, 0x888f2bf1,
-    0x2dff73bd, 0x888ce9c5,
-  0x2df996a3, 0x888aa7e3, 0x2df3b96c, 0x8888664b, 0x2deddc19, 0x888624fd,
-    0x2de7feaa, 0x8883e3f8,
-  0x2de2211e, 0x8881a33d, 0x2ddc4376, 0x887f62cb, 0x2dd665b2, 0x887d22a4,
-    0x2dd087d1, 0x887ae2c6,
-  0x2dcaa9d5, 0x8878a332, 0x2dc4cbbc, 0x887663e7, 0x2dbeed86, 0x887424e7,
-    0x2db90f35, 0x8871e630,
-  0x2db330c7, 0x886fa7c2, 0x2dad523d, 0x886d699f, 0x2da77397, 0x886b2bc5,
-    0x2da194d5, 0x8868ee35,
-  0x2d9bb5f6, 0x8866b0ef, 0x2d95d6fc, 0x886473f2, 0x2d8ff7e5, 0x88623740,
-    0x2d8a18b3, 0x885ffad7,
-  0x2d843964, 0x885dbeb8, 0x2d7e59f9, 0x885b82e3, 0x2d787a72, 0x88594757,
-    0x2d729acf, 0x88570c16,
-  0x2d6cbb10, 0x8854d11e, 0x2d66db35, 0x88529670, 0x2d60fb3e, 0x88505c0b,
-    0x2d5b1b2b, 0x884e21f1,
-  0x2d553afc, 0x884be821, 0x2d4f5ab1, 0x8849ae9a, 0x2d497a4a, 0x8847755d,
-    0x2d4399c7, 0x88453c6a,
-  0x2d3db928, 0x884303c1, 0x2d37d86d, 0x8840cb61, 0x2d31f797, 0x883e934c,
-    0x2d2c16a4, 0x883c5b81,
-  0x2d263596, 0x883a23ff, 0x2d20546b, 0x8837ecc7, 0x2d1a7325, 0x8835b5d9,
-    0x2d1491c4, 0x88337f35,
-  0x2d0eb046, 0x883148db, 0x2d08ceac, 0x882f12cb, 0x2d02ecf7, 0x882cdd04,
-    0x2cfd0b26, 0x882aa788,
-  0x2cf72939, 0x88287256, 0x2cf14731, 0x88263d6d, 0x2ceb650d, 0x882408ce,
-    0x2ce582cd, 0x8821d47a,
-  0x2cdfa071, 0x881fa06f, 0x2cd9bdfa, 0x881d6cae, 0x2cd3db67, 0x881b3937,
-    0x2ccdf8b8, 0x8819060a,
-  0x2cc815ee, 0x8816d327, 0x2cc23308, 0x8814a08f, 0x2cbc5006, 0x88126e40,
-    0x2cb66ce9, 0x88103c3b,
-  0x2cb089b1, 0x880e0a7f, 0x2caaa65c, 0x880bd90e, 0x2ca4c2ed, 0x8809a7e7,
-    0x2c9edf61, 0x8807770a,
-  0x2c98fbba, 0x88054677, 0x2c9317f8, 0x8803162e, 0x2c8d341a, 0x8800e62f,
-    0x2c875021, 0x87feb67a,
-  0x2c816c0c, 0x87fc870f, 0x2c7b87dc, 0x87fa57ee, 0x2c75a390, 0x87f82917,
-    0x2c6fbf29, 0x87f5fa8b,
-  0x2c69daa6, 0x87f3cc48, 0x2c63f609, 0x87f19e4f, 0x2c5e114f, 0x87ef70a0,
-    0x2c582c7b, 0x87ed433c,
-  0x2c52478a, 0x87eb1621, 0x2c4c627f, 0x87e8e950, 0x2c467d58, 0x87e6bcca,
-    0x2c409816, 0x87e4908e,
-  0x2c3ab2b9, 0x87e2649b, 0x2c34cd40, 0x87e038f3, 0x2c2ee7ad, 0x87de0d95,
-    0x2c2901fd, 0x87dbe281,
-  0x2c231c33, 0x87d9b7b7, 0x2c1d364e, 0x87d78d38, 0x2c17504d, 0x87d56302,
-    0x2c116a31, 0x87d33916,
-  0x2c0b83fa, 0x87d10f75, 0x2c059da7, 0x87cee61e, 0x2bffb73a, 0x87ccbd11,
-    0x2bf9d0b1, 0x87ca944e,
-  0x2bf3ea0d, 0x87c86bd5, 0x2bee034e, 0x87c643a6, 0x2be81c74, 0x87c41bc2,
-    0x2be2357f, 0x87c1f427,
-  0x2bdc4e6f, 0x87bfccd7, 0x2bd66744, 0x87bda5d1, 0x2bd07ffe, 0x87bb7f16,
-    0x2bca989d, 0x87b958a4,
-  0x2bc4b120, 0x87b7327d, 0x2bbec989, 0x87b50c9f, 0x2bb8e1d7, 0x87b2e70c,
-    0x2bb2fa0a, 0x87b0c1c4,
-  0x2bad1221, 0x87ae9cc5, 0x2ba72a1e, 0x87ac7811, 0x2ba14200, 0x87aa53a6,
-    0x2b9b59c7, 0x87a82f87,
-  0x2b957173, 0x87a60bb1, 0x2b8f8905, 0x87a3e825, 0x2b89a07b, 0x87a1c4e4,
-    0x2b83b7d7, 0x879fa1ed,
-  0x2b7dcf17, 0x879d7f41, 0x2b77e63d, 0x879b5cde, 0x2b71fd48, 0x87993ac6,
-    0x2b6c1438, 0x879718f8,
-  0x2b662b0e, 0x8794f774, 0x2b6041c9, 0x8792d63b, 0x2b5a5868, 0x8790b54c,
-    0x2b546eee, 0x878e94a7,
-  0x2b4e8558, 0x878c744d, 0x2b489ba8, 0x878a543d, 0x2b42b1dd, 0x87883477,
-    0x2b3cc7f7, 0x878614fb,
-  0x2b36ddf7, 0x8783f5ca, 0x2b30f3dc, 0x8781d6e3, 0x2b2b09a6, 0x877fb846,
-    0x2b251f56, 0x877d99f4,
-  0x2b1f34eb, 0x877b7bec, 0x2b194a66, 0x87795e2f, 0x2b135fc6, 0x877740bb,
-    0x2b0d750b, 0x87752392,
-  0x2b078a36, 0x877306b4, 0x2b019f46, 0x8770ea20, 0x2afbb43c, 0x876ecdd6,
-    0x2af5c917, 0x876cb1d6,
-  0x2aefddd8, 0x876a9621, 0x2ae9f27e, 0x87687ab7, 0x2ae4070a, 0x87665f96,
-    0x2ade1b7c, 0x876444c1,
-  0x2ad82fd2, 0x87622a35, 0x2ad2440f, 0x87600ff4, 0x2acc5831, 0x875df5fd,
-    0x2ac66c39, 0x875bdc51,
-  0x2ac08026, 0x8759c2ef, 0x2aba93f9, 0x8757a9d8, 0x2ab4a7b1, 0x8755910b,
-    0x2aaebb50, 0x87537888,
-  0x2aa8ced3, 0x87516050, 0x2aa2e23d, 0x874f4862, 0x2a9cf58c, 0x874d30bf,
-    0x2a9708c1, 0x874b1966,
-  0x2a911bdc, 0x87490258, 0x2a8b2edc, 0x8746eb94, 0x2a8541c3, 0x8744d51b,
-    0x2a7f548e, 0x8742beec,
-  0x2a796740, 0x8740a907, 0x2a7379d8, 0x873e936d, 0x2a6d8c55, 0x873c7e1e,
-    0x2a679eb8, 0x873a6919,
-  0x2a61b101, 0x8738545e, 0x2a5bc330, 0x87363fee, 0x2a55d545, 0x87342bc9,
-    0x2a4fe740, 0x873217ee,
-  0x2a49f920, 0x8730045d, 0x2a440ae7, 0x872df117, 0x2a3e1c93, 0x872bde1c,
-    0x2a382e25, 0x8729cb6b,
-  0x2a323f9e, 0x8727b905, 0x2a2c50fc, 0x8725a6e9, 0x2a266240, 0x87239518,
-    0x2a20736a, 0x87218391,
-  0x2a1a847b, 0x871f7255, 0x2a149571, 0x871d6163, 0x2a0ea64d, 0x871b50bc,
-    0x2a08b710, 0x87194060,
-  0x2a02c7b8, 0x8717304e, 0x29fcd847, 0x87152087, 0x29f6e8bb, 0x8713110a,
-    0x29f0f916, 0x871101d8,
-  0x29eb0957, 0x870ef2f1, 0x29e5197e, 0x870ce454, 0x29df298b, 0x870ad602,
-    0x29d9397f, 0x8708c7fa,
-  0x29d34958, 0x8706ba3d, 0x29cd5918, 0x8704acca, 0x29c768be, 0x87029fa3,
-    0x29c1784a, 0x870092c5,
-  0x29bb87bc, 0x86fe8633, 0x29b59715, 0x86fc79eb, 0x29afa654, 0x86fa6dee,
-    0x29a9b579, 0x86f8623b,
-  0x29a3c485, 0x86f656d3, 0x299dd377, 0x86f44bb6, 0x2997e24f, 0x86f240e3,
-    0x2991f10e, 0x86f0365c,
-  0x298bffb2, 0x86ee2c1e, 0x29860e3e, 0x86ec222c, 0x29801caf, 0x86ea1884,
-    0x297a2b07, 0x86e80f27,
-  0x29743946, 0x86e60614, 0x296e476b, 0x86e3fd4c, 0x29685576, 0x86e1f4cf,
-    0x29626368, 0x86dfec9d,
-  0x295c7140, 0x86dde4b5, 0x29567eff, 0x86dbdd18, 0x29508ca4, 0x86d9d5c6,
-    0x294a9a30, 0x86d7cebf,
-  0x2944a7a2, 0x86d5c802, 0x293eb4fb, 0x86d3c190, 0x2938c23a, 0x86d1bb69,
-    0x2932cf60, 0x86cfb58c,
-  0x292cdc6d, 0x86cdaffa, 0x2926e960, 0x86cbaab3, 0x2920f63a, 0x86c9a5b7,
-    0x291b02fa, 0x86c7a106,
-  0x29150fa1, 0x86c59c9f, 0x290f1c2f, 0x86c39883, 0x290928a3, 0x86c194b2,
-    0x290334ff, 0x86bf912c,
-  0x28fd4140, 0x86bd8df0, 0x28f74d69, 0x86bb8b00, 0x28f15978, 0x86b9885a,
-    0x28eb656e, 0x86b785ff,
-  0x28e5714b, 0x86b583ee, 0x28df7d0e, 0x86b38229, 0x28d988b8, 0x86b180ae,
-    0x28d3944a, 0x86af7f7e,
-  0x28cd9fc1, 0x86ad7e99, 0x28c7ab20, 0x86ab7dff, 0x28c1b666, 0x86a97db0,
-    0x28bbc192, 0x86a77dab,
-  0x28b5cca5, 0x86a57df2, 0x28afd7a0, 0x86a37e83, 0x28a9e281, 0x86a17f5f,
-    0x28a3ed49, 0x869f8086,
-  0x289df7f8, 0x869d81f8, 0x2898028e, 0x869b83b4, 0x28920d0a, 0x869985bc,
-    0x288c176e, 0x8697880f,
-  0x288621b9, 0x86958aac, 0x28802beb, 0x86938d94, 0x287a3604, 0x869190c7,
-    0x28744004, 0x868f9445,
-  0x286e49ea, 0x868d980e, 0x286853b8, 0x868b9c22, 0x28625d6d, 0x8689a081,
-    0x285c670a, 0x8687a52b,
-  0x2856708d, 0x8685aa20, 0x285079f7, 0x8683af5f, 0x284a8349, 0x8681b4ea,
-    0x28448c81, 0x867fbabf,
-  0x283e95a1, 0x867dc0e0, 0x28389ea8, 0x867bc74b, 0x2832a796, 0x8679ce01,
-    0x282cb06c, 0x8677d503,
-  0x2826b928, 0x8675dc4f, 0x2820c1cc, 0x8673e3e6, 0x281aca57, 0x8671ebc8,
-    0x2814d2c9, 0x866ff3f6,
-  0x280edb23, 0x866dfc6e, 0x2808e364, 0x866c0531, 0x2802eb8c, 0x866a0e3f,
-    0x27fcf39c, 0x86681798,
-  0x27f6fb92, 0x8666213c, 0x27f10371, 0x86642b2c, 0x27eb0b36, 0x86623566,
-    0x27e512e3, 0x86603feb,
-  0x27df1a77, 0x865e4abb, 0x27d921f3, 0x865c55d7, 0x27d32956, 0x865a613d,
-    0x27cd30a1, 0x86586cee,
-  0x27c737d3, 0x865678eb, 0x27c13eec, 0x86548532, 0x27bb45ed, 0x865291c4,
-    0x27b54cd6, 0x86509ea2,
-  0x27af53a6, 0x864eabcb, 0x27a95a5d, 0x864cb93e, 0x27a360fc, 0x864ac6fd,
-    0x279d6783, 0x8648d507,
-  0x27976df1, 0x8646e35c, 0x27917447, 0x8644f1fc, 0x278b7a84, 0x864300e7,
-    0x278580a9, 0x8641101d,
-  0x277f86b5, 0x863f1f9e, 0x27798caa, 0x863d2f6b, 0x27739285, 0x863b3f82,
-    0x276d9849, 0x86394fe5,
-  0x27679df4, 0x86376092, 0x2761a387, 0x8635718b, 0x275ba901, 0x863382cf,
-    0x2755ae64, 0x8631945e,
-  0x274fb3ae, 0x862fa638, 0x2749b8e0, 0x862db85e, 0x2743bdf9, 0x862bcace,
-    0x273dc2fa, 0x8629dd8a,
-  0x2737c7e3, 0x8627f091, 0x2731ccb4, 0x862603e3, 0x272bd16d, 0x86241780,
-    0x2725d60e, 0x86222b68,
-  0x271fda96, 0x86203f9c, 0x2719df06, 0x861e541a, 0x2713e35f, 0x861c68e4,
-    0x270de79f, 0x861a7df9,
-  0x2707ebc7, 0x86189359, 0x2701efd7, 0x8616a905, 0x26fbf3ce, 0x8614befb,
-    0x26f5f7ae, 0x8612d53d,
-  0x26effb76, 0x8610ebca, 0x26e9ff26, 0x860f02a3, 0x26e402bd, 0x860d19c6,
-    0x26de063d, 0x860b3135,
-  0x26d809a5, 0x860948ef, 0x26d20cf5, 0x860760f4, 0x26cc102d, 0x86057944,
-    0x26c6134d, 0x860391e0,
-  0x26c01655, 0x8601aac7, 0x26ba1945, 0x85ffc3f9, 0x26b41c1d, 0x85fddd76,
-    0x26ae1edd, 0x85fbf73f,
-  0x26a82186, 0x85fa1153, 0x26a22416, 0x85f82bb2, 0x269c268f, 0x85f6465c,
-    0x269628f0, 0x85f46152,
-  0x26902b39, 0x85f27c93, 0x268a2d6b, 0x85f09820, 0x26842f84, 0x85eeb3f7,
-    0x267e3186, 0x85ecd01a,
-  0x26783370, 0x85eaec88, 0x26723543, 0x85e90942, 0x266c36fe, 0x85e72647,
-    0x266638a1, 0x85e54397,
-  0x26603a2c, 0x85e36132, 0x265a3b9f, 0x85e17f19, 0x26543cfb, 0x85df9d4b,
-    0x264e3e40, 0x85ddbbc9,
-  0x26483f6c, 0x85dbda91, 0x26424082, 0x85d9f9a5, 0x263c417f, 0x85d81905,
-    0x26364265, 0x85d638b0,
-  0x26304333, 0x85d458a6, 0x262a43ea, 0x85d278e7, 0x26244489, 0x85d09974,
-    0x261e4511, 0x85ceba4d,
-  0x26184581, 0x85ccdb70, 0x261245da, 0x85cafcdf, 0x260c461b, 0x85c91e9a,
-    0x26064645, 0x85c740a0,
-  0x26004657, 0x85c562f1, 0x25fa4652, 0x85c3858d, 0x25f44635, 0x85c1a875,
-    0x25ee4601, 0x85bfcba9,
-  0x25e845b6, 0x85bdef28, 0x25e24553, 0x85bc12f2, 0x25dc44d9, 0x85ba3707,
-    0x25d64447, 0x85b85b68,
-  0x25d0439f, 0x85b68015, 0x25ca42de, 0x85b4a50d, 0x25c44207, 0x85b2ca50,
-    0x25be4118, 0x85b0efdf,
-  0x25b84012, 0x85af15b9, 0x25b23ef5, 0x85ad3bdf, 0x25ac3dc0, 0x85ab6250,
-    0x25a63c74, 0x85a9890d,
-  0x25a03b11, 0x85a7b015, 0x259a3997, 0x85a5d768, 0x25943806, 0x85a3ff07,
-    0x258e365d, 0x85a226f2,
-  0x2588349d, 0x85a04f28, 0x258232c6, 0x859e77a9, 0x257c30d8, 0x859ca076,
-    0x25762ed3, 0x859ac98f,
-  0x25702cb7, 0x8598f2f3, 0x256a2a83, 0x85971ca2, 0x25642839, 0x8595469d,
-    0x255e25d7, 0x859370e4,
-  0x2558235f, 0x85919b76, 0x255220cf, 0x858fc653, 0x254c1e28, 0x858df17c,
-    0x25461b6b, 0x858c1cf1,
-  0x25401896, 0x858a48b1, 0x253a15aa, 0x858874bd, 0x253412a8, 0x8586a114,
-    0x252e0f8e, 0x8584cdb7,
-  0x25280c5e, 0x8582faa5, 0x25220916, 0x858127df, 0x251c05b8, 0x857f5564,
-    0x25160243, 0x857d8335,
-  0x250ffeb7, 0x857bb152, 0x2509fb14, 0x8579dfba, 0x2503f75a, 0x85780e6e,
-    0x24fdf389, 0x85763d6d,
-  0x24f7efa2, 0x85746cb8, 0x24f1eba4, 0x85729c4e, 0x24ebe78f, 0x8570cc30,
-    0x24e5e363, 0x856efc5e,
-  0x24dfdf20, 0x856d2cd7, 0x24d9dac7, 0x856b5d9c, 0x24d3d657, 0x85698ead,
-    0x24cdd1d0, 0x8567c009,
-  0x24c7cd33, 0x8565f1b0, 0x24c1c87f, 0x856423a4, 0x24bbc3b4, 0x856255e3,
-    0x24b5bed2, 0x8560886d,
-  0x24afb9da, 0x855ebb44, 0x24a9b4cb, 0x855cee66, 0x24a3afa6, 0x855b21d3,
-    0x249daa6a, 0x8559558c,
-  0x2497a517, 0x85578991, 0x24919fae, 0x8555bde2, 0x248b9a2f, 0x8553f27e,
-    0x24859498, 0x85522766,
-  0x247f8eec, 0x85505c99, 0x24798928, 0x854e9219, 0x2473834f, 0x854cc7e3,
-    0x246d7d5e, 0x854afdfa,
-  0x24677758, 0x8549345c, 0x2461713a, 0x85476b0a, 0x245b6b07, 0x8545a204,
-    0x245564bd, 0x8543d949,
-  0x244f5e5c, 0x854210db, 0x244957e5, 0x854048b7, 0x24435158, 0x853e80e0,
-    0x243d4ab4, 0x853cb954,
-  0x243743fa, 0x853af214, 0x24313d2a, 0x85392b20, 0x242b3644, 0x85376477,
-    0x24252f47, 0x85359e1a,
-  0x241f2833, 0x8533d809, 0x2419210a, 0x85321244, 0x241319ca, 0x85304cca,
-    0x240d1274, 0x852e879d,
-  0x24070b08, 0x852cc2bb, 0x24010385, 0x852afe24, 0x23fafbec, 0x852939da,
-    0x23f4f43e, 0x852775db,
-  0x23eeec78, 0x8525b228, 0x23e8e49d, 0x8523eec1, 0x23e2dcac, 0x85222ba5,
-    0x23dcd4a4, 0x852068d6,
-  0x23d6cc87, 0x851ea652, 0x23d0c453, 0x851ce41a, 0x23cabc09, 0x851b222e,
-    0x23c4b3a9, 0x8519608d,
-  0x23beab33, 0x85179f39, 0x23b8a2a7, 0x8515de30, 0x23b29a05, 0x85141d73,
-    0x23ac914d, 0x85125d02,
-  0x23a6887f, 0x85109cdd, 0x23a07f9a, 0x850edd03, 0x239a76a0, 0x850d1d75,
-    0x23946d90, 0x850b5e34,
-  0x238e646a, 0x85099f3e, 0x23885b2e, 0x8507e094, 0x238251dd, 0x85062235,
-    0x237c4875, 0x85046423,
-  0x23763ef7, 0x8502a65c, 0x23703564, 0x8500e8e2, 0x236a2bba, 0x84ff2bb3,
-    0x236421fb, 0x84fd6ed0,
-  0x235e1826, 0x84fbb239, 0x23580e3b, 0x84f9f5ee, 0x2352043b, 0x84f839ee,
-    0x234bfa24, 0x84f67e3b,
-  0x2345eff8, 0x84f4c2d4, 0x233fe5b6, 0x84f307b8, 0x2339db5e, 0x84f14ce8,
-    0x2333d0f1, 0x84ef9265,
-  0x232dc66d, 0x84edd82d, 0x2327bbd5, 0x84ec1e41, 0x2321b126, 0x84ea64a1,
-    0x231ba662, 0x84e8ab4d,
-  0x23159b88, 0x84e6f244, 0x230f9098, 0x84e53988, 0x23098593, 0x84e38118,
-    0x23037a78, 0x84e1c8f3,
-  0x22fd6f48, 0x84e0111b, 0x22f76402, 0x84de598f, 0x22f158a7, 0x84dca24e,
-    0x22eb4d36, 0x84daeb5a,
-  0x22e541af, 0x84d934b1, 0x22df3613, 0x84d77e54, 0x22d92a61, 0x84d5c844,
-    0x22d31e9a, 0x84d4127f,
-  0x22cd12bd, 0x84d25d06, 0x22c706cb, 0x84d0a7da, 0x22c0fac4, 0x84cef2f9,
-    0x22baeea7, 0x84cd3e64,
-  0x22b4e274, 0x84cb8a1b, 0x22aed62c, 0x84c9d61f, 0x22a8c9cf, 0x84c8226e,
-    0x22a2bd5d, 0x84c66f09,
-  0x229cb0d5, 0x84c4bbf0, 0x2296a437, 0x84c30924, 0x22909785, 0x84c156a3,
-    0x228a8abd, 0x84bfa46e,
-  0x22847de0, 0x84bdf286, 0x227e70ed, 0x84bc40e9, 0x227863e5, 0x84ba8f98,
-    0x227256c8, 0x84b8de94,
-  0x226c4996, 0x84b72ddb, 0x22663c4e, 0x84b57d6f, 0x22602ef1, 0x84b3cd4f,
-    0x225a217f, 0x84b21d7a,
-  0x225413f8, 0x84b06df2, 0x224e065c, 0x84aebeb6, 0x2247f8aa, 0x84ad0fc6,
-    0x2241eae3, 0x84ab6122,
-  0x223bdd08, 0x84a9b2ca, 0x2235cf17, 0x84a804be, 0x222fc111, 0x84a656fe,
-    0x2229b2f6, 0x84a4a98a,
-  0x2223a4c5, 0x84a2fc62, 0x221d9680, 0x84a14f87, 0x22178826, 0x849fa2f7,
-    0x221179b7, 0x849df6b4,
-  0x220b6b32, 0x849c4abd, 0x22055c99, 0x849a9f12, 0x21ff4dea, 0x8498f3b3,
-    0x21f93f27, 0x849748a0,
-  0x21f3304f, 0x84959dd9, 0x21ed2162, 0x8493f35e, 0x21e71260, 0x84924930,
-    0x21e10349, 0x84909f4e,
-  0x21daf41d, 0x848ef5b7, 0x21d4e4dc, 0x848d4c6d, 0x21ced586, 0x848ba36f,
-    0x21c8c61c, 0x8489fabe,
-  0x21c2b69c, 0x84885258, 0x21bca708, 0x8486aa3e, 0x21b6975f, 0x84850271,
-    0x21b087a1, 0x84835af0,
-  0x21aa77cf, 0x8481b3bb, 0x21a467e7, 0x84800cd2, 0x219e57eb, 0x847e6636,
-    0x219847da, 0x847cbfe5,
-  0x219237b5, 0x847b19e1, 0x218c277a, 0x84797429, 0x2186172b, 0x8477cebd,
-    0x218006c8, 0x8476299e,
-  0x2179f64f, 0x847484ca, 0x2173e5c2, 0x8472e043, 0x216dd521, 0x84713c08,
-    0x2167c46b, 0x846f9819,
-  0x2161b3a0, 0x846df477, 0x215ba2c0, 0x846c5120, 0x215591cc, 0x846aae16,
-    0x214f80c4, 0x84690b58,
-  0x21496fa7, 0x846768e7, 0x21435e75, 0x8465c6c1, 0x213d4d2f, 0x846424e8,
-    0x21373bd4, 0x8462835b,
-  0x21312a65, 0x8460e21a, 0x212b18e1, 0x845f4126, 0x21250749, 0x845da07e,
-    0x211ef59d, 0x845c0022,
-  0x2118e3dc, 0x845a6012, 0x2112d206, 0x8458c04f, 0x210cc01d, 0x845720d8,
-    0x2106ae1e, 0x845581ad,
-  0x21009c0c, 0x8453e2cf, 0x20fa89e5, 0x8452443d, 0x20f477aa, 0x8450a5f7,
-    0x20ee655a, 0x844f07fd,
-  0x20e852f6, 0x844d6a50, 0x20e2407e, 0x844bccef, 0x20dc2df2, 0x844a2fda,
-    0x20d61b51, 0x84489311,
-  0x20d0089c, 0x8446f695, 0x20c9f5d3, 0x84455a66, 0x20c3e2f5, 0x8443be82,
-    0x20bdd003, 0x844222eb,
-  0x20b7bcfe, 0x844087a0, 0x20b1a9e4, 0x843eeca2, 0x20ab96b5, 0x843d51f0,
-    0x20a58373, 0x843bb78a,
-  0x209f701c, 0x843a1d70, 0x20995cb2, 0x843883a3, 0x20934933, 0x8436ea23,
-    0x208d35a0, 0x843550ee,
-  0x208721f9, 0x8433b806, 0x20810e3e, 0x84321f6b, 0x207afa6f, 0x8430871b,
-    0x2074e68c, 0x842eef18,
-  0x206ed295, 0x842d5762, 0x2068be8a, 0x842bbff8, 0x2062aa6b, 0x842a28da,
-    0x205c9638, 0x84289209,
-  0x205681f1, 0x8426fb84, 0x20506d96, 0x8425654b, 0x204a5927, 0x8423cf5f,
-    0x204444a4, 0x842239bf,
-  0x203e300d, 0x8420a46c, 0x20381b63, 0x841f0f65, 0x203206a4, 0x841d7aaa,
-    0x202bf1d2, 0x841be63c,
-  0x2025dcec, 0x841a521a, 0x201fc7f2, 0x8418be45, 0x2019b2e4, 0x84172abc,
-    0x20139dc2, 0x84159780,
-  0x200d888d, 0x84140490, 0x20077344, 0x841271ec, 0x20015de7, 0x8410df95,
-    0x1ffb4876, 0x840f4d8a,
-  0x1ff532f2, 0x840dbbcc, 0x1fef1d59, 0x840c2a5a, 0x1fe907ae, 0x840a9935,
-    0x1fe2f1ee, 0x8409085c,
-  0x1fdcdc1b, 0x840777d0, 0x1fd6c634, 0x8405e790, 0x1fd0b03a, 0x8404579d,
-    0x1fca9a2b, 0x8402c7f6,
-  0x1fc4840a, 0x8401389b, 0x1fbe6dd4, 0x83ffa98d, 0x1fb8578b, 0x83fe1acc,
-    0x1fb2412f, 0x83fc8c57,
-  0x1fac2abf, 0x83fafe2e, 0x1fa6143b, 0x83f97052, 0x1f9ffda4, 0x83f7e2c3,
-    0x1f99e6fa, 0x83f65580,
-  0x1f93d03c, 0x83f4c889, 0x1f8db96a, 0x83f33bdf, 0x1f87a285, 0x83f1af82,
-    0x1f818b8d, 0x83f02371,
-  0x1f7b7481, 0x83ee97ad, 0x1f755d61, 0x83ed0c35, 0x1f6f462f, 0x83eb810a,
-    0x1f692ee9, 0x83e9f62b,
-  0x1f63178f, 0x83e86b99, 0x1f5d0022, 0x83e6e153, 0x1f56e8a2, 0x83e5575a,
-    0x1f50d10e, 0x83e3cdad,
-  0x1f4ab968, 0x83e2444d, 0x1f44a1ad, 0x83e0bb3a, 0x1f3e89e0, 0x83df3273,
-    0x1f3871ff, 0x83dda9f9,
-  0x1f325a0b, 0x83dc21cb, 0x1f2c4204, 0x83da99ea, 0x1f2629ea, 0x83d91255,
-    0x1f2011bc, 0x83d78b0d,
-  0x1f19f97b, 0x83d60412, 0x1f13e127, 0x83d47d63, 0x1f0dc8c0, 0x83d2f701,
-    0x1f07b045, 0x83d170eb,
-  0x1f0197b8, 0x83cfeb22, 0x1efb7f17, 0x83ce65a6, 0x1ef56664, 0x83cce076,
-    0x1eef4d9d, 0x83cb5b93,
-  0x1ee934c3, 0x83c9d6fc, 0x1ee31bd6, 0x83c852b2, 0x1edd02d6, 0x83c6ceb5,
-    0x1ed6e9c3, 0x83c54b04,
-  0x1ed0d09d, 0x83c3c7a0, 0x1ecab763, 0x83c24488, 0x1ec49e17, 0x83c0c1be,
-    0x1ebe84b8, 0x83bf3f3f,
-  0x1eb86b46, 0x83bdbd0e, 0x1eb251c1, 0x83bc3b29, 0x1eac3829, 0x83bab991,
-    0x1ea61e7e, 0x83b93845,
-  0x1ea004c1, 0x83b7b746, 0x1e99eaf0, 0x83b63694, 0x1e93d10c, 0x83b4b62e,
-    0x1e8db716, 0x83b33616,
-  0x1e879d0d, 0x83b1b649, 0x1e8182f1, 0x83b036ca, 0x1e7b68c2, 0x83aeb797,
-    0x1e754e80, 0x83ad38b1,
-  0x1e6f342c, 0x83abba17, 0x1e6919c4, 0x83aa3bca, 0x1e62ff4a, 0x83a8bdca,
-    0x1e5ce4be, 0x83a74017,
-  0x1e56ca1e, 0x83a5c2b0, 0x1e50af6c, 0x83a44596, 0x1e4a94a7, 0x83a2c8c9,
-    0x1e4479cf, 0x83a14c48,
-  0x1e3e5ee5, 0x839fd014, 0x1e3843e8, 0x839e542d, 0x1e3228d9, 0x839cd893,
-    0x1e2c0db6, 0x839b5d45,
-  0x1e25f282, 0x8399e244, 0x1e1fd73a, 0x83986790, 0x1e19bbe0, 0x8396ed29,
-    0x1e13a074, 0x8395730e,
-  0x1e0d84f5, 0x8393f940, 0x1e076963, 0x83927fbf, 0x1e014dbf, 0x8391068a,
-    0x1dfb3208, 0x838f8da2,
-  0x1df5163f, 0x838e1507, 0x1deefa63, 0x838c9cb9, 0x1de8de75, 0x838b24b8,
-    0x1de2c275, 0x8389ad03,
-  0x1ddca662, 0x8388359b, 0x1dd68a3c, 0x8386be80, 0x1dd06e04, 0x838547b2,
-    0x1dca51ba, 0x8383d130,
-  0x1dc4355e, 0x83825afb, 0x1dbe18ef, 0x8380e513, 0x1db7fc6d, 0x837f6f78,
-    0x1db1dfda, 0x837dfa2a,
-  0x1dabc334, 0x837c8528, 0x1da5a67c, 0x837b1074, 0x1d9f89b1, 0x83799c0c,
-    0x1d996cd4, 0x837827f0,
-  0x1d934fe5, 0x8376b422, 0x1d8d32e4, 0x837540a1, 0x1d8715d0, 0x8373cd6c,
-    0x1d80f8ab, 0x83725a84,
-  0x1d7adb73, 0x8370e7e9, 0x1d74be29, 0x836f759b, 0x1d6ea0cc, 0x836e039a,
-    0x1d68835e, 0x836c91e5,
-  0x1d6265dd, 0x836b207d, 0x1d5c484b, 0x8369af63, 0x1d562aa6, 0x83683e95,
-    0x1d500cef, 0x8366ce14,
-  0x1d49ef26, 0x83655ddf, 0x1d43d14b, 0x8363edf8, 0x1d3db35e, 0x83627e5d,
-    0x1d37955e, 0x83610f10,
-  0x1d31774d, 0x835fa00f, 0x1d2b592a, 0x835e315b, 0x1d253af5, 0x835cc2f4,
-    0x1d1f1cae, 0x835b54da,
-  0x1d18fe54, 0x8359e70d, 0x1d12dfe9, 0x8358798c, 0x1d0cc16c, 0x83570c59,
-    0x1d06a2dd, 0x83559f72,
-  0x1d00843d, 0x835432d8, 0x1cfa658a, 0x8352c68c, 0x1cf446c5, 0x83515a8c,
-    0x1cee27ef, 0x834feed9,
-  0x1ce80906, 0x834e8373, 0x1ce1ea0c, 0x834d185a, 0x1cdbcb00, 0x834bad8e,
-    0x1cd5abe3, 0x834a430e,
-  0x1ccf8cb3, 0x8348d8dc, 0x1cc96d72, 0x83476ef6, 0x1cc34e1f, 0x8346055e,
-    0x1cbd2eba, 0x83449c12,
-  0x1cb70f43, 0x83433314, 0x1cb0efbb, 0x8341ca62, 0x1caad021, 0x834061fd,
-    0x1ca4b075, 0x833ef9e6,
-  0x1c9e90b8, 0x833d921b, 0x1c9870e9, 0x833c2a9d, 0x1c925109, 0x833ac36c,
-    0x1c8c3116, 0x83395c88,
-  0x1c861113, 0x8337f5f1, 0x1c7ff0fd, 0x83368fa7, 0x1c79d0d6, 0x833529aa,
-    0x1c73b09d, 0x8333c3fa,
-  0x1c6d9053, 0x83325e97, 0x1c676ff8, 0x8330f981, 0x1c614f8b, 0x832f94b8,
-    0x1c5b2f0c, 0x832e303c,
-  0x1c550e7c, 0x832ccc0d, 0x1c4eedda, 0x832b682b, 0x1c48cd27, 0x832a0496,
-    0x1c42ac62, 0x8328a14d,
-  0x1c3c8b8c, 0x83273e52, 0x1c366aa5, 0x8325dba4, 0x1c3049ac, 0x83247943,
-    0x1c2a28a2, 0x8323172f,
-  0x1c240786, 0x8321b568, 0x1c1de659, 0x832053ee, 0x1c17c51b, 0x831ef2c1,
-    0x1c11a3cb, 0x831d91e1,
-  0x1c0b826a, 0x831c314e, 0x1c0560f8, 0x831ad109, 0x1bff3f75, 0x83197110,
-    0x1bf91de0, 0x83181164,
-  0x1bf2fc3a, 0x8316b205, 0x1becda83, 0x831552f4, 0x1be6b8ba, 0x8313f42f,
-    0x1be096e0, 0x831295b7,
-  0x1bda74f6, 0x8311378d, 0x1bd452f9, 0x830fd9af, 0x1bce30ec, 0x830e7c1f,
-    0x1bc80ece, 0x830d1edc,
-  0x1bc1ec9e, 0x830bc1e6, 0x1bbbca5e, 0x830a653c, 0x1bb5a80c, 0x830908e0,
-    0x1baf85a9, 0x8307acd1,
-  0x1ba96335, 0x83065110, 0x1ba340b0, 0x8304f59b, 0x1b9d1e1a, 0x83039a73,
-    0x1b96fb73, 0x83023f98,
-  0x1b90d8bb, 0x8300e50b, 0x1b8ab5f2, 0x82ff8acb, 0x1b849317, 0x82fe30d7,
-    0x1b7e702c, 0x82fcd731,
-  0x1b784d30, 0x82fb7dd8, 0x1b722a23, 0x82fa24cc, 0x1b6c0705, 0x82f8cc0d,
-    0x1b65e3d7, 0x82f7739c,
-  0x1b5fc097, 0x82f61b77, 0x1b599d46, 0x82f4c3a0, 0x1b5379e5, 0x82f36c15,
-    0x1b4d5672, 0x82f214d8,
-  0x1b4732ef, 0x82f0bde8, 0x1b410f5b, 0x82ef6745, 0x1b3aebb6, 0x82ee10ef,
-    0x1b34c801, 0x82ecbae7,
-  0x1b2ea43a, 0x82eb652b, 0x1b288063, 0x82ea0fbd, 0x1b225c7b, 0x82e8ba9c,
-    0x1b1c3883, 0x82e765c8,
-  0x1b161479, 0x82e61141, 0x1b0ff05f, 0x82e4bd07, 0x1b09cc34, 0x82e3691b,
-    0x1b03a7f9, 0x82e2157c,
-  0x1afd83ad, 0x82e0c22a, 0x1af75f50, 0x82df6f25, 0x1af13ae3, 0x82de1c6d,
-    0x1aeb1665, 0x82dcca02,
-  0x1ae4f1d6, 0x82db77e5, 0x1adecd37, 0x82da2615, 0x1ad8a887, 0x82d8d492,
-    0x1ad283c7, 0x82d7835c,
-  0x1acc5ef6, 0x82d63274, 0x1ac63a14, 0x82d4e1d8, 0x1ac01522, 0x82d3918a,
-    0x1ab9f020, 0x82d24189,
-  0x1ab3cb0d, 0x82d0f1d5, 0x1aada5e9, 0x82cfa26f, 0x1aa780b6, 0x82ce5356,
-    0x1aa15b71, 0x82cd048a,
-  0x1a9b361d, 0x82cbb60b, 0x1a9510b7, 0x82ca67d9, 0x1a8eeb42, 0x82c919f5,
-    0x1a88c5bc, 0x82c7cc5e,
-  0x1a82a026, 0x82c67f14, 0x1a7c7a7f, 0x82c53217, 0x1a7654c8, 0x82c3e568,
-    0x1a702f01, 0x82c29906,
-  0x1a6a0929, 0x82c14cf1, 0x1a63e341, 0x82c00129, 0x1a5dbd49, 0x82beb5af,
-    0x1a579741, 0x82bd6a82,
-  0x1a517128, 0x82bc1fa2, 0x1a4b4aff, 0x82bad50f, 0x1a4524c6, 0x82b98aca,
-    0x1a3efe7c, 0x82b840d2,
-  0x1a38d823, 0x82b6f727, 0x1a32b1b9, 0x82b5adca, 0x1a2c8b3f, 0x82b464ba,
-    0x1a2664b5, 0x82b31bf7,
-  0x1a203e1b, 0x82b1d381, 0x1a1a1771, 0x82b08b59, 0x1a13f0b6, 0x82af437e,
-    0x1a0dc9ec, 0x82adfbf0,
-  0x1a07a311, 0x82acb4b0, 0x1a017c27, 0x82ab6dbd, 0x19fb552c, 0x82aa2717,
-    0x19f52e22, 0x82a8e0bf,
-  0x19ef0707, 0x82a79ab3, 0x19e8dfdc, 0x82a654f6, 0x19e2b8a2, 0x82a50f85,
-    0x19dc9157, 0x82a3ca62,
-  0x19d669fc, 0x82a2858c, 0x19d04292, 0x82a14104, 0x19ca1b17, 0x829ffcc8,
-    0x19c3f38d, 0x829eb8db,
-  0x19bdcbf3, 0x829d753a, 0x19b7a449, 0x829c31e7, 0x19b17c8f, 0x829aeee1,
-    0x19ab54c5, 0x8299ac29,
-  0x19a52ceb, 0x829869be, 0x199f0502, 0x829727a0, 0x1998dd09, 0x8295e5cf,
-    0x1992b4ff, 0x8294a44c,
-  0x198c8ce7, 0x82936317, 0x198664be, 0x8292222e, 0x19803c86, 0x8290e194,
-    0x197a143e, 0x828fa146,
-  0x1973ebe6, 0x828e6146, 0x196dc37e, 0x828d2193, 0x19679b07, 0x828be22e,
-    0x19617280, 0x828aa316,
-  0x195b49ea, 0x8289644b, 0x19552144, 0x828825ce, 0x194ef88e, 0x8286e79e,
-    0x1948cfc8, 0x8285a9bb,
-  0x1942a6f3, 0x82846c26, 0x193c7e0f, 0x82832edf, 0x1936551b, 0x8281f1e4,
-    0x19302c17, 0x8280b538,
-  0x192a0304, 0x827f78d8, 0x1923d9e1, 0x827e3cc6, 0x191db0af, 0x827d0102,
-    0x1917876d, 0x827bc58a,
-  0x19115e1c, 0x827a8a61, 0x190b34bb, 0x82794f84, 0x19050b4b, 0x827814f6,
-    0x18fee1cb, 0x8276dab4,
-  0x18f8b83c, 0x8275a0c0, 0x18f28e9e, 0x8274671a, 0x18ec64f0, 0x82732dc0,
-    0x18e63b33, 0x8271f4b5,
-  0x18e01167, 0x8270bbf7, 0x18d9e78b, 0x826f8386, 0x18d3bda0, 0x826e4b62,
-    0x18cd93a5, 0x826d138d,
-  0x18c7699b, 0x826bdc04, 0x18c13f82, 0x826aa4c9, 0x18bb155a, 0x82696ddc,
-    0x18b4eb22, 0x8268373c,
-  0x18aec0db, 0x826700e9, 0x18a89685, 0x8265cae4, 0x18a26c20, 0x8264952d,
-    0x189c41ab, 0x82635fc2,
-  0x18961728, 0x82622aa6, 0x188fec95, 0x8260f5d7, 0x1889c1f3, 0x825fc155,
-    0x18839742, 0x825e8d21,
-  0x187d6c82, 0x825d593a, 0x187741b2, 0x825c25a1, 0x187116d4, 0x825af255,
-    0x186aebe6, 0x8259bf57,
-  0x1864c0ea, 0x82588ca7, 0x185e95de, 0x82575a44, 0x18586ac3, 0x8256282e,
-    0x18523f9a, 0x8254f666,
-  0x184c1461, 0x8253c4eb, 0x1845e919, 0x825293be, 0x183fbdc3, 0x825162df,
-    0x1839925d, 0x8250324d,
-  0x183366e9, 0x824f0208, 0x182d3b65, 0x824dd211, 0x18270fd3, 0x824ca268,
-    0x1820e431, 0x824b730c,
-  0x181ab881, 0x824a43fe, 0x18148cc2, 0x8249153d, 0x180e60f4, 0x8247e6ca,
-    0x18083518, 0x8246b8a4,
-  0x1802092c, 0x82458acc, 0x17fbdd32, 0x82445d41, 0x17f5b129, 0x82433004,
-    0x17ef8511, 0x82420315,
-  0x17e958ea, 0x8240d673, 0x17e32cb5, 0x823faa1e, 0x17dd0070, 0x823e7e18,
-    0x17d6d41d, 0x823d525e,
-  0x17d0a7bc, 0x823c26f3, 0x17ca7b4c, 0x823afbd5, 0x17c44ecd, 0x8239d104,
-    0x17be223f, 0x8238a681,
-  0x17b7f5a3, 0x82377c4c, 0x17b1c8f8, 0x82365264, 0x17ab9c3e, 0x823528ca,
-    0x17a56f76, 0x8233ff7e,
-  0x179f429f, 0x8232d67f, 0x179915ba, 0x8231adce, 0x1792e8c6, 0x8230856a,
-    0x178cbbc4, 0x822f5d54,
-  0x17868eb3, 0x822e358b, 0x17806194, 0x822d0e10, 0x177a3466, 0x822be6e3,
-    0x17740729, 0x822ac004,
-  0x176dd9de, 0x82299971, 0x1767ac85, 0x8228732d, 0x17617f1d, 0x82274d36,
-    0x175b51a7, 0x8226278d,
-  0x17552422, 0x82250232, 0x174ef68f, 0x8223dd24, 0x1748c8ee, 0x8222b863,
-    0x17429b3e, 0x822193f1,
-  0x173c6d80, 0x82206fcc, 0x17363fb4, 0x821f4bf5, 0x173011d9, 0x821e286b,
-    0x1729e3f0, 0x821d052f,
-  0x1723b5f9, 0x821be240, 0x171d87f3, 0x821abfa0, 0x171759df, 0x82199d4d,
-    0x17112bbd, 0x82187b47,
-  0x170afd8d, 0x82175990, 0x1704cf4f, 0x82163826, 0x16fea102, 0x82151709,
-    0x16f872a7, 0x8213f63a,
-  0x16f2443e, 0x8212d5b9, 0x16ec15c7, 0x8211b586, 0x16e5e741, 0x821095a0,
-    0x16dfb8ae, 0x820f7608,
-  0x16d98a0c, 0x820e56be, 0x16d35b5c, 0x820d37c1, 0x16cd2c9f, 0x820c1912,
-    0x16c6fdd3, 0x820afab1,
-  0x16c0cef9, 0x8209dc9e, 0x16baa011, 0x8208bed8, 0x16b4711b, 0x8207a160,
-    0x16ae4217, 0x82068435,
-  0x16a81305, 0x82056758, 0x16a1e3e5, 0x82044ac9, 0x169bb4b7, 0x82032e88,
-    0x1695857b, 0x82021294,
-  0x168f5632, 0x8200f6ef, 0x168926da, 0x81ffdb96, 0x1682f774, 0x81fec08c,
-    0x167cc801, 0x81fda5cf,
-  0x1676987f, 0x81fc8b60, 0x167068f0, 0x81fb713f, 0x166a3953, 0x81fa576c,
-    0x166409a8, 0x81f93de6,
-  0x165dd9f0, 0x81f824ae, 0x1657aa29, 0x81f70bc3, 0x16517a55, 0x81f5f327,
-    0x164b4a73, 0x81f4dad8,
-  0x16451a83, 0x81f3c2d7, 0x163eea86, 0x81f2ab24, 0x1638ba7a, 0x81f193be,
-    0x16328a61, 0x81f07ca6,
-  0x162c5a3b, 0x81ef65dc, 0x16262a06, 0x81ee4f60, 0x161ff9c4, 0x81ed3932,
-    0x1619c975, 0x81ec2351,
-  0x16139918, 0x81eb0dbe, 0x160d68ad, 0x81e9f879, 0x16073834, 0x81e8e381,
-    0x160107ae, 0x81e7ced8,
-  0x15fad71b, 0x81e6ba7c, 0x15f4a679, 0x81e5a66e, 0x15ee75cb, 0x81e492ad,
-    0x15e8450e, 0x81e37f3b,
-  0x15e21445, 0x81e26c16, 0x15dbe36d, 0x81e1593f, 0x15d5b288, 0x81e046b6,
-    0x15cf8196, 0x81df347b,
-  0x15c95097, 0x81de228d, 0x15c31f89, 0x81dd10ee, 0x15bcee6f, 0x81dbff9c,
-    0x15b6bd47, 0x81daee98,
-  0x15b08c12, 0x81d9dde1, 0x15aa5acf, 0x81d8cd79, 0x15a4297f, 0x81d7bd5e,
-    0x159df821, 0x81d6ad92,
-  0x1597c6b7, 0x81d59e13, 0x1591953e, 0x81d48ee1, 0x158b63b9, 0x81d37ffe,
-    0x15853226, 0x81d27169,
-  0x157f0086, 0x81d16321, 0x1578ced9, 0x81d05527, 0x15729d1f, 0x81cf477b,
-    0x156c6b57, 0x81ce3a1d,
-  0x15663982, 0x81cd2d0c, 0x156007a0, 0x81cc204a, 0x1559d5b1, 0x81cb13d5,
-    0x1553a3b4, 0x81ca07af,
-  0x154d71aa, 0x81c8fbd6, 0x15473f94, 0x81c7f04b, 0x15410d70, 0x81c6e50d,
-    0x153adb3f, 0x81c5da1e,
-  0x1534a901, 0x81c4cf7d, 0x152e76b5, 0x81c3c529, 0x1528445d, 0x81c2bb23,
-    0x152211f8, 0x81c1b16b,
-  0x151bdf86, 0x81c0a801, 0x1515ad06, 0x81bf9ee5, 0x150f7a7a, 0x81be9617,
-    0x150947e1, 0x81bd8d97,
-  0x1503153a, 0x81bc8564, 0x14fce287, 0x81bb7d7f, 0x14f6afc7, 0x81ba75e9,
-    0x14f07cf9, 0x81b96ea0,
-  0x14ea4a1f, 0x81b867a5, 0x14e41738, 0x81b760f8, 0x14dde445, 0x81b65a99,
-    0x14d7b144, 0x81b55488,
-  0x14d17e36, 0x81b44ec4, 0x14cb4b1c, 0x81b3494f, 0x14c517f4, 0x81b24427,
-    0x14bee4c0, 0x81b13f4e,
-  0x14b8b17f, 0x81b03ac2, 0x14b27e32, 0x81af3684, 0x14ac4ad7, 0x81ae3294,
-    0x14a61770, 0x81ad2ef2,
-  0x149fe3fc, 0x81ac2b9e, 0x1499b07c, 0x81ab2898, 0x14937cee, 0x81aa25e0,
-    0x148d4954, 0x81a92376,
-  0x148715ae, 0x81a82159, 0x1480e1fa, 0x81a71f8b, 0x147aae3a, 0x81a61e0b,
-    0x14747a6d, 0x81a51cd8,
-  0x146e4694, 0x81a41bf4, 0x146812ae, 0x81a31b5d, 0x1461debc, 0x81a21b14,
-    0x145baabd, 0x81a11b1a,
-  0x145576b1, 0x81a01b6d, 0x144f4299, 0x819f1c0e, 0x14490e74, 0x819e1cfd,
-    0x1442da43, 0x819d1e3a,
-  0x143ca605, 0x819c1fc5, 0x143671bb, 0x819b219e, 0x14303d65, 0x819a23c5,
-    0x142a0902, 0x8199263a,
-  0x1423d492, 0x819828fd, 0x141da016, 0x81972c0e, 0x14176b8e, 0x81962f6d,
-    0x141136f9, 0x8195331a,
-  0x140b0258, 0x81943715, 0x1404cdaa, 0x81933b5e, 0x13fe98f1, 0x81923ff4,
-    0x13f8642a, 0x819144d9,
-  0x13f22f58, 0x81904a0c, 0x13ebfa79, 0x818f4f8d, 0x13e5c58e, 0x818e555c,
-    0x13df9097, 0x818d5b78,
-  0x13d95b93, 0x818c61e3, 0x13d32683, 0x818b689c, 0x13ccf167, 0x818a6fa3,
-    0x13c6bc3f, 0x818976f8,
-  0x13c0870a, 0x81887e9a, 0x13ba51ca, 0x8187868b, 0x13b41c7d, 0x81868eca,
-    0x13ade724, 0x81859757,
-  0x13a7b1bf, 0x8184a032, 0x13a17c4d, 0x8183a95b, 0x139b46d0, 0x8182b2d1,
-    0x13951146, 0x8181bc96,
-  0x138edbb1, 0x8180c6a9, 0x1388a60f, 0x817fd10a, 0x13827062, 0x817edbb9,
-    0x137c3aa8, 0x817de6b6,
-  0x137604e2, 0x817cf201, 0x136fcf10, 0x817bfd9b, 0x13699933, 0x817b0982,
-    0x13636349, 0x817a15b7,
-  0x135d2d53, 0x8179223a, 0x1356f752, 0x81782f0b, 0x1350c144, 0x81773c2b,
-    0x134a8b2b, 0x81764998,
-  0x13445505, 0x81755754, 0x133e1ed4, 0x8174655d, 0x1337e897, 0x817373b5,
-    0x1331b24e, 0x8172825a,
-  0x132b7bf9, 0x8171914e, 0x13254599, 0x8170a090, 0x131f0f2c, 0x816fb020,
-    0x1318d8b4, 0x816ebffe,
-  0x1312a230, 0x816dd02a, 0x130c6ba0, 0x816ce0a4, 0x13063505, 0x816bf16c,
-    0x12fffe5d, 0x816b0282,
-  0x12f9c7aa, 0x816a13e6, 0x12f390ec, 0x81692599, 0x12ed5a21, 0x81683799,
-    0x12e7234b, 0x816749e8,
-  0x12e0ec6a, 0x81665c84, 0x12dab57c, 0x81656f6f, 0x12d47e83, 0x816482a8,
-    0x12ce477f, 0x8163962f,
-  0x12c8106f, 0x8162aa04, 0x12c1d953, 0x8161be27, 0x12bba22b, 0x8160d298,
-    0x12b56af9, 0x815fe758,
-  0x12af33ba, 0x815efc65, 0x12a8fc70, 0x815e11c1, 0x12a2c51b, 0x815d276a,
-    0x129c8dba, 0x815c3d62,
-  0x1296564d, 0x815b53a8, 0x12901ed5, 0x815a6a3c, 0x1289e752, 0x8159811e,
-    0x1283afc3, 0x8158984e,
-  0x127d7829, 0x8157afcd, 0x12774083, 0x8156c799, 0x127108d2, 0x8155dfb4,
-    0x126ad116, 0x8154f81d,
-  0x1264994e, 0x815410d4, 0x125e617b, 0x815329d9, 0x1258299c, 0x8152432c,
-    0x1251f1b3, 0x81515ccd,
-  0x124bb9be, 0x815076bd, 0x124581bd, 0x814f90fb, 0x123f49b2, 0x814eab86,
-    0x1239119b, 0x814dc660,
-  0x1232d979, 0x814ce188, 0x122ca14b, 0x814bfcff, 0x12266913, 0x814b18c3,
-    0x122030cf, 0x814a34d6,
-  0x1219f880, 0x81495136, 0x1213c026, 0x81486de5, 0x120d87c1, 0x81478ae2,
-    0x12074f50, 0x8146a82e,
-  0x120116d5, 0x8145c5c7, 0x11fade4e, 0x8144e3ae, 0x11f4a5bd, 0x814401e4,
-    0x11ee6d20, 0x81432068,
-  0x11e83478, 0x81423f3a, 0x11e1fbc5, 0x81415e5a, 0x11dbc307, 0x81407dc9,
-    0x11d58a3e, 0x813f9d86,
-  0x11cf516a, 0x813ebd90, 0x11c9188b, 0x813ddde9, 0x11c2dfa2, 0x813cfe91,
-    0x11bca6ad, 0x813c1f86,
-  0x11b66dad, 0x813b40ca, 0x11b034a2, 0x813a625b, 0x11a9fb8d, 0x8139843b,
-    0x11a3c26c, 0x8138a66a,
-  0x119d8941, 0x8137c8e6, 0x1197500a, 0x8136ebb1, 0x119116c9, 0x81360ec9,
-    0x118add7d, 0x81353230,
-  0x1184a427, 0x813455e6, 0x117e6ac5, 0x813379e9, 0x11783159, 0x81329e3b,
-    0x1171f7e2, 0x8131c2db,
-  0x116bbe60, 0x8130e7c9, 0x116584d3, 0x81300d05, 0x115f4b3c, 0x812f3290,
-    0x1159119a, 0x812e5868,
-  0x1152d7ed, 0x812d7e8f, 0x114c9e35, 0x812ca505, 0x11466473, 0x812bcbc8,
-    0x11402aa6, 0x812af2da,
-  0x1139f0cf, 0x812a1a3a, 0x1133b6ed, 0x812941e8, 0x112d7d00, 0x812869e4,
-    0x11274309, 0x8127922f,
-  0x11210907, 0x8126bac8, 0x111acefb, 0x8125e3af, 0x111494e4, 0x81250ce4,
-    0x110e5ac2, 0x81243668,
-  0x11082096, 0x8123603a, 0x1101e65f, 0x81228a5a, 0x10fbac1e, 0x8121b4c8,
-    0x10f571d3, 0x8120df85,
-  0x10ef377d, 0x81200a90, 0x10e8fd1c, 0x811f35e9, 0x10e2c2b2, 0x811e6191,
-    0x10dc883c, 0x811d8d86,
-  0x10d64dbd, 0x811cb9ca, 0x10d01333, 0x811be65d, 0x10c9d89e, 0x811b133d,
-    0x10c39dff, 0x811a406c,
-  0x10bd6356, 0x81196de9, 0x10b728a3, 0x81189bb4, 0x10b0ede5, 0x8117c9ce,
-    0x10aab31d, 0x8116f836,
-  0x10a4784b, 0x811626ec, 0x109e3d6e, 0x811555f1, 0x10980287, 0x81148544,
-    0x1091c796, 0x8113b4e5,
-  0x108b8c9b, 0x8112e4d4, 0x10855195, 0x81121512, 0x107f1686, 0x8111459e,
-    0x1078db6c, 0x81107678,
-  0x1072a048, 0x810fa7a0, 0x106c651a, 0x810ed917, 0x106629e1, 0x810e0adc,
-    0x105fee9f, 0x810d3cf0,
-  0x1059b352, 0x810c6f52, 0x105377fc, 0x810ba202, 0x104d3c9b, 0x810ad500,
-    0x10470130, 0x810a084d,
-  0x1040c5bb, 0x81093be8, 0x103a8a3d, 0x81086fd1, 0x10344eb4, 0x8107a409,
-    0x102e1321, 0x8106d88f,
-  0x1027d784, 0x81060d63, 0x10219bdd, 0x81054286, 0x101b602d, 0x810477f7,
-    0x10152472, 0x8103adb6,
-  0x100ee8ad, 0x8102e3c4, 0x1008acdf, 0x81021a20, 0x10027107, 0x810150ca,
-    0xffc3524, 0x810087c3,
-  0xff5f938, 0x80ffbf0a, 0xfefbd42, 0x80fef69f, 0xfe98143, 0x80fe2e83,
-    0xfe34539, 0x80fd66b5,
-  0xfdd0926, 0x80fc9f35, 0xfd6cd08, 0x80fbd804, 0xfd090e1, 0x80fb1121,
-    0xfca54b1, 0x80fa4a8c,
-  0xfc41876, 0x80f98446, 0xfbddc32, 0x80f8be4e, 0xfb79fe4, 0x80f7f8a4,
-    0xfb1638d, 0x80f73349,
-  0xfab272b, 0x80f66e3c, 0xfa4eac0, 0x80f5a97e, 0xf9eae4c, 0x80f4e50e,
-    0xf9871ce, 0x80f420ec,
-  0xf923546, 0x80f35d19, 0xf8bf8b4, 0x80f29994, 0xf85bc19, 0x80f1d65d,
-    0xf7f7f75, 0x80f11375,
-  0xf7942c7, 0x80f050db, 0xf73060f, 0x80ef8e90, 0xf6cc94e, 0x80eecc93,
-    0xf668c83, 0x80ee0ae4,
-  0xf604faf, 0x80ed4984, 0xf5a12d1, 0x80ec8872, 0xf53d5ea, 0x80ebc7ae,
-    0xf4d98f9, 0x80eb0739,
-  0xf475bff, 0x80ea4712, 0xf411efb, 0x80e9873a, 0xf3ae1ee, 0x80e8c7b0,
-    0xf34a4d8, 0x80e80874,
-  0xf2e67b8, 0x80e74987, 0xf282a8f, 0x80e68ae8, 0xf21ed5d, 0x80e5cc98,
-    0xf1bb021, 0x80e50e96,
-  0xf1572dc, 0x80e450e2, 0xf0f358e, 0x80e3937d, 0xf08f836, 0x80e2d666,
-    0xf02bad5, 0x80e2199e,
-  0xefc7d6b, 0x80e15d24, 0xef63ff7, 0x80e0a0f8, 0xef0027b, 0x80dfe51b,
-    0xee9c4f5, 0x80df298c,
-  0xee38766, 0x80de6e4c, 0xedd49ce, 0x80ddb35a, 0xed70c2c, 0x80dcf8b7,
-    0xed0ce82, 0x80dc3e62,
-  0xeca90ce, 0x80db845b, 0xec45311, 0x80dacaa3, 0xebe154b, 0x80da1139,
-    0xeb7d77c, 0x80d9581e,
-  0xeb199a4, 0x80d89f51, 0xeab5bc3, 0x80d7e6d3, 0xea51dd8, 0x80d72ea3,
-    0xe9edfe5, 0x80d676c1,
-  0xe98a1e9, 0x80d5bf2e, 0xe9263e3, 0x80d507e9, 0xe8c25d5, 0x80d450f3,
-    0xe85e7be, 0x80d39a4b,
-  0xe7fa99e, 0x80d2e3f2, 0xe796b74, 0x80d22de7, 0xe732d42, 0x80d1782a,
-    0xe6cef07, 0x80d0c2bc,
-  0xe66b0c3, 0x80d00d9d, 0xe607277, 0x80cf58cc, 0xe5a3421, 0x80cea449,
-    0xe53f5c2, 0x80cdf015,
-  0xe4db75b, 0x80cd3c2f, 0xe4778eb, 0x80cc8898, 0xe413a72, 0x80cbd54f,
-    0xe3afbf0, 0x80cb2255,
-  0xe34bd66, 0x80ca6fa9, 0xe2e7ed2, 0x80c9bd4c, 0xe284036, 0x80c90b3d,
-    0xe220191, 0x80c8597c,
-  0xe1bc2e4, 0x80c7a80a, 0xe15842e, 0x80c6f6e7, 0xe0f456f, 0x80c64612,
-    0xe0906a7, 0x80c5958b,
-  0xe02c7d7, 0x80c4e553, 0xdfc88fe, 0x80c4356a, 0xdf64a1c, 0x80c385cf,
-    0xdf00b32, 0x80c2d682,
-  0xde9cc40, 0x80c22784, 0xde38d44, 0x80c178d4, 0xddd4e40, 0x80c0ca73,
-    0xdd70f34, 0x80c01c60,
-  0xdd0d01f, 0x80bf6e9c, 0xdca9102, 0x80bec127, 0xdc451dc, 0x80be13ff,
-    0xdbe12ad, 0x80bd6727,
-  0xdb7d376, 0x80bcba9d, 0xdb19437, 0x80bc0e61, 0xdab54ef, 0x80bb6274,
-    0xda5159f, 0x80bab6d5,
-  0xd9ed646, 0x80ba0b85, 0xd9896e5, 0x80b96083, 0xd92577b, 0x80b8b5d0,
-    0xd8c1809, 0x80b80b6c,
-  0xd85d88f, 0x80b76156, 0xd7f990c, 0x80b6b78e, 0xd795982, 0x80b60e15,
-    0xd7319ee, 0x80b564ea,
-  0xd6cda53, 0x80b4bc0e, 0xd669aaf, 0x80b41381, 0xd605b03, 0x80b36b42,
-    0xd5a1b4f, 0x80b2c351,
-  0xd53db92, 0x80b21baf, 0xd4d9bcd, 0x80b1745c, 0xd475c00, 0x80b0cd57,
-    0xd411c2b, 0x80b026a1,
-  0xd3adc4e, 0x80af8039, 0xd349c68, 0x80aeda20, 0xd2e5c7b, 0x80ae3455,
-    0xd281c85, 0x80ad8ed9,
-  0xd21dc87, 0x80ace9ab, 0xd1b9c81, 0x80ac44cc, 0xd155c73, 0x80aba03b,
-    0xd0f1c5d, 0x80aafbf9,
-  0xd08dc3f, 0x80aa5806, 0xd029c18, 0x80a9b461, 0xcfc5bea, 0x80a9110b,
-    0xcf61bb4, 0x80a86e03,
-  0xcefdb76, 0x80a7cb49, 0xce99b2f, 0x80a728df, 0xce35ae1, 0x80a686c2,
-    0xcdd1a8b, 0x80a5e4f5,
-  0xcd6da2d, 0x80a54376, 0xcd099c7, 0x80a4a245, 0xcca5959, 0x80a40163,
-    0xcc418e3, 0x80a360d0,
-  0xcbdd865, 0x80a2c08b, 0xcb797e0, 0x80a22095, 0xcb15752, 0x80a180ed,
-    0xcab16bd, 0x80a0e194,
-  0xca4d620, 0x80a04289, 0xc9e957b, 0x809fa3cd, 0xc9854cf, 0x809f0560,
-    0xc92141a, 0x809e6741,
-  0xc8bd35e, 0x809dc971, 0xc85929a, 0x809d2bef, 0xc7f51cf, 0x809c8ebc,
-    0xc7910fb, 0x809bf1d7,
-  0xc72d020, 0x809b5541, 0xc6c8f3e, 0x809ab8fa, 0xc664e53, 0x809a1d01,
-    0xc600d61, 0x80998157,
-  0xc59cc68, 0x8098e5fb, 0xc538b66, 0x80984aee, 0xc4d4a5d, 0x8097b030,
-    0xc47094d, 0x809715c0,
-  0xc40c835, 0x80967b9f, 0xc3a8715, 0x8095e1cc, 0xc3445ee, 0x80954848,
-    0xc2e04c0, 0x8094af13,
-  0xc27c389, 0x8094162c, 0xc21824c, 0x80937d93, 0xc1b4107, 0x8092e54a,
-    0xc14ffba, 0x80924d4f,
-  0xc0ebe66, 0x8091b5a2, 0xc087d0a, 0x80911e44, 0xc023ba7, 0x80908735,
-    0xbfbfa3d, 0x808ff074,
-  0xbf5b8cb, 0x808f5a02, 0xbef7752, 0x808ec3df, 0xbe935d2, 0x808e2e0a,
-    0xbe2f44a, 0x808d9884,
-  0xbdcb2bb, 0x808d034c, 0xbd67124, 0x808c6e63, 0xbd02f87, 0x808bd9c9,
-    0xbc9ede2, 0x808b457d,
-  0xbc3ac35, 0x808ab180, 0xbbd6a82, 0x808a1dd2, 0xbb728c7, 0x80898a72,
-    0xbb0e705, 0x8088f761,
-  0xbaaa53b, 0x8088649e, 0xba4636b, 0x8087d22a, 0xb9e2193, 0x80874005,
-    0xb97dfb5, 0x8086ae2e,
-  0xb919dcf, 0x80861ca6, 0xb8b5be1, 0x80858b6c, 0xb8519ed, 0x8084fa82,
-    0xb7ed7f2, 0x808469e5,
-  0xb7895f0, 0x8083d998, 0xb7253e6, 0x80834999, 0xb6c11d5, 0x8082b9e9,
-    0xb65cfbe, 0x80822a87,
-  0xb5f8d9f, 0x80819b74, 0xb594b7a, 0x80810cb0, 0xb53094d, 0x80807e3a,
-    0xb4cc719, 0x807ff013,
-  0xb4684df, 0x807f623b, 0xb40429d, 0x807ed4b1, 0xb3a0055, 0x807e4776,
-    0xb33be05, 0x807dba89,
-  0xb2d7baf, 0x807d2dec, 0xb273952, 0x807ca19c, 0xb20f6ee, 0x807c159c,
-    0xb1ab483, 0x807b89ea,
-  0xb147211, 0x807afe87, 0xb0e2f98, 0x807a7373, 0xb07ed19, 0x8079e8ad,
-    0xb01aa92, 0x80795e36,
-  0xafb6805, 0x8078d40d, 0xaf52571, 0x80784a33, 0xaeee2d7, 0x8077c0a8,
-    0xae8a036, 0x8077376c,
-  0xae25d8d, 0x8076ae7e, 0xadc1adf, 0x807625df, 0xad5d829, 0x80759d8e,
-    0xacf956d, 0x8075158c,
-  0xac952aa, 0x80748dd9, 0xac30fe1, 0x80740675, 0xabccd11, 0x80737f5f,
-    0xab68a3a, 0x8072f898,
-  0xab0475c, 0x8072721f, 0xaaa0478, 0x8071ebf6, 0xaa3c18e, 0x8071661a,
-    0xa9d7e9d, 0x8070e08e,
-  0xa973ba5, 0x80705b50, 0xa90f8a7, 0x806fd661, 0xa8ab5a2, 0x806f51c1,
-    0xa847297, 0x806ecd6f,
-  0xa7e2f85, 0x806e496c, 0xa77ec6d, 0x806dc5b8, 0xa71a94f, 0x806d4253,
-    0xa6b662a, 0x806cbf3c,
-  0xa6522fe, 0x806c3c74, 0xa5edfcc, 0x806bb9fa, 0xa589c94, 0x806b37cf,
-    0xa525955, 0x806ab5f3,
-  0xa4c1610, 0x806a3466, 0xa45d2c5, 0x8069b327, 0xa3f8f73, 0x80693237,
-    0xa394c1b, 0x8068b196,
-  0xa3308bd, 0x80683143, 0xa2cc558, 0x8067b13f, 0xa2681ed, 0x8067318a,
-    0xa203e7c, 0x8066b224,
-  0xa19fb04, 0x8066330c, 0xa13b787, 0x8065b443, 0xa0d7403, 0x806535c9,
-    0xa073079, 0x8064b79d,
-  0xa00ece8, 0x806439c0, 0x9faa952, 0x8063bc32, 0x9f465b5, 0x80633ef3,
-    0x9ee2213, 0x8062c202,
-  0x9e7de6a, 0x80624560, 0x9e19abb, 0x8061c90c, 0x9db5706, 0x80614d08,
-    0x9d5134b, 0x8060d152,
-  0x9cecf89, 0x806055eb, 0x9c88bc2, 0x805fdad2, 0x9c247f5, 0x805f6009,
-    0x9bc0421, 0x805ee58e,
-  0x9b5c048, 0x805e6b62, 0x9af7c69, 0x805df184, 0x9a93884, 0x805d77f5,
-    0x9a2f498, 0x805cfeb5,
-  0x99cb0a7, 0x805c85c4, 0x9966cb0, 0x805c0d21, 0x99028b3, 0x805b94ce,
-    0x989e4b0, 0x805b1cc8,
-  0x983a0a7, 0x805aa512, 0x97d5c99, 0x805a2daa, 0x9771884, 0x8059b692,
-    0x970d46a, 0x80593fc7,
-  0x96a9049, 0x8058c94c, 0x9644c23, 0x8058531f, 0x95e07f8, 0x8057dd41,
-    0x957c3c6, 0x805767b2,
-  0x9517f8f, 0x8056f272, 0x94b3b52, 0x80567d80, 0x944f70f, 0x805608dd,
-    0x93eb2c6, 0x80559489,
-  0x9386e78, 0x80552084, 0x9322a24, 0x8054accd, 0x92be5ca, 0x80543965,
-    0x925a16b, 0x8053c64c,
-  0x91f5d06, 0x80535381, 0x919189c, 0x8052e106, 0x912d42c, 0x80526ed9,
-    0x90c8fb6, 0x8051fcfb,
-  0x9064b3a, 0x80518b6b, 0x90006ba, 0x80511a2b, 0x8f9c233, 0x8050a939,
-    0x8f37da7, 0x80503896,
-  0x8ed3916, 0x804fc841, 0x8e6f47f, 0x804f583c, 0x8e0afe2, 0x804ee885,
-    0x8da6b40, 0x804e791d,
-  0x8d42699, 0x804e0a04, 0x8cde1ec, 0x804d9b39, 0x8c79d3a, 0x804d2cbd,
-    0x8c15882, 0x804cbe90,
-  0x8bb13c5, 0x804c50b2, 0x8b4cf02, 0x804be323, 0x8ae8a3a, 0x804b75e2,
-    0x8a8456d, 0x804b08f0,
-  0x8a2009a, 0x804a9c4d, 0x89bbbc3, 0x804a2ff9, 0x89576e5, 0x8049c3f3,
-    0x88f3203, 0x8049583d,
-  0x888ed1b, 0x8048ecd5, 0x882a82e, 0x804881bb, 0x87c633c, 0x804816f1,
-    0x8761e44, 0x8047ac75,
-  0x86fd947, 0x80474248, 0x8699445, 0x8046d86a, 0x8634f3e, 0x80466edb,
-    0x85d0a32, 0x8046059b,
-  0x856c520, 0x80459ca9, 0x850800a, 0x80453406, 0x84a3aee, 0x8044cbb2,
-    0x843f5cd, 0x804463ad,
-  0x83db0a7, 0x8043fbf6, 0x8376b7c, 0x8043948e, 0x831264c, 0x80432d75,
-    0x82ae117, 0x8042c6ab,
-  0x8249bdd, 0x80426030, 0x81e569d, 0x8041fa03, 0x8181159, 0x80419425,
-    0x811cc10, 0x80412e96,
-  0x80b86c2, 0x8040c956, 0x805416e, 0x80406465, 0x7fefc16, 0x803fffc2,
-    0x7f8b6b9, 0x803f9b6f,
-  0x7f27157, 0x803f376a, 0x7ec2bf0, 0x803ed3b3, 0x7e5e685, 0x803e704c,
-    0x7dfa114, 0x803e0d34,
-  0x7d95b9e, 0x803daa6a, 0x7d31624, 0x803d47ef, 0x7ccd0a5, 0x803ce5c3,
-    0x7c68b21, 0x803c83e5,
-  0x7c04598, 0x803c2257, 0x7ba000b, 0x803bc117, 0x7b3ba78, 0x803b6026,
-    0x7ad74e1, 0x803aff84,
-  0x7a72f45, 0x803a9f31, 0x7a0e9a5, 0x803a3f2d, 0x79aa400, 0x8039df77,
-    0x7945e56, 0x80398010,
-  0x78e18a7, 0x803920f8, 0x787d2f4, 0x8038c22f, 0x7818d3c, 0x803863b5,
-    0x77b4780, 0x80380589,
-  0x77501be, 0x8037a7ac, 0x76ebbf9, 0x80374a1f, 0x768762e, 0x8036ece0,
-    0x762305f, 0x80368fef,
-  0x75bea8c, 0x8036334e, 0x755a4b4, 0x8035d6fb, 0x74f5ed7, 0x80357af8,
-    0x74918f6, 0x80351f43,
-  0x742d311, 0x8034c3dd, 0x73c8d27, 0x803468c5, 0x7364738, 0x80340dfd,
-    0x7300145, 0x8033b383,
-  0x729bb4e, 0x80335959, 0x7237552, 0x8032ff7d, 0x71d2f52, 0x8032a5ef,
-    0x716e94e, 0x80324cb1,
-  0x710a345, 0x8031f3c2, 0x70a5d37, 0x80319b21, 0x7041726, 0x803142cf,
-    0x6fdd110, 0x8030eacd,
-  0x6f78af6, 0x80309318, 0x6f144d7, 0x80303bb3, 0x6eafeb4, 0x802fe49d,
-    0x6e4b88d, 0x802f8dd5,
-  0x6de7262, 0x802f375d, 0x6d82c32, 0x802ee133, 0x6d1e5fe, 0x802e8b58,
-    0x6cb9fc6, 0x802e35cb,
-  0x6c5598a, 0x802de08e, 0x6bf1349, 0x802d8ba0, 0x6b8cd05, 0x802d3700,
-    0x6b286bc, 0x802ce2af,
-  0x6ac406f, 0x802c8ead, 0x6a5fa1e, 0x802c3afa, 0x69fb3c9, 0x802be796,
-    0x6996d70, 0x802b9480,
-  0x6932713, 0x802b41ba, 0x68ce0b2, 0x802aef42, 0x6869a4c, 0x802a9d19,
-    0x68053e3, 0x802a4b3f,
-  0x67a0d76, 0x8029f9b4, 0x673c704, 0x8029a878, 0x66d808f, 0x8029578b,
-    0x6673a16, 0x802906ec,
-  0x660f398, 0x8028b69c, 0x65aad17, 0x8028669b, 0x6546692, 0x802816e9,
-    0x64e2009, 0x8027c786,
-  0x647d97c, 0x80277872, 0x64192eb, 0x802729ad, 0x63b4c57, 0x8026db36,
-    0x63505be, 0x80268d0e,
-  0x62ebf22, 0x80263f36, 0x6287882, 0x8025f1ac, 0x62231de, 0x8025a471,
-    0x61beb36, 0x80255784,
-  0x615a48b, 0x80250ae7, 0x60f5ddc, 0x8024be99, 0x6091729, 0x80247299,
-    0x602d072, 0x802426e8,
-  0x5fc89b8, 0x8023db86, 0x5f642fa, 0x80239073, 0x5effc38, 0x802345af,
-    0x5e9b572, 0x8022fb3a,
-  0x5e36ea9, 0x8022b114, 0x5dd27dd, 0x8022673c, 0x5d6e10c, 0x80221db3,
-    0x5d09a38, 0x8021d47a,
-  0x5ca5361, 0x80218b8f, 0x5c40c86, 0x802142f3, 0x5bdc5a7, 0x8020faa6,
-    0x5b77ec5, 0x8020b2a7,
-  0x5b137df, 0x80206af8, 0x5aaf0f6, 0x80202397, 0x5a4aa09, 0x801fdc86,
-    0x59e6319, 0x801f95c3,
-  0x5981c26, 0x801f4f4f, 0x591d52f, 0x801f092a, 0x58b8e34, 0x801ec354,
-    0x5854736, 0x801e7dcd,
-  0x57f0035, 0x801e3895, 0x578b930, 0x801df3ab, 0x5727228, 0x801daf11,
-    0x56c2b1c, 0x801d6ac5,
-  0x565e40d, 0x801d26c8, 0x55f9cfb, 0x801ce31a, 0x55955e6, 0x801c9fbb,
-    0x5530ecd, 0x801c5cab,
-  0x54cc7b1, 0x801c19ea, 0x5468092, 0x801bd777, 0x540396f, 0x801b9554,
-    0x539f249, 0x801b537f,
-  0x533ab20, 0x801b11fa, 0x52d63f4, 0x801ad0c3, 0x5271cc4, 0x801a8fdb,
-    0x520d592, 0x801a4f42,
-  0x51a8e5c, 0x801a0ef8, 0x5144723, 0x8019cefd, 0x50dffe7, 0x80198f50,
-    0x507b8a8, 0x80194ff3,
-  0x5017165, 0x801910e4, 0x4fb2a20, 0x8018d225, 0x4f4e2d8, 0x801893b4,
-    0x4ee9b8c, 0x80185592,
-  0x4e8543e, 0x801817bf, 0x4e20cec, 0x8017da3b, 0x4dbc597, 0x80179d06,
-    0x4d57e40, 0x80176020,
-  0x4cf36e5, 0x80172388, 0x4c8ef88, 0x8016e740, 0x4c2a827, 0x8016ab46,
-    0x4bc60c4, 0x80166f9c,
-  0x4b6195d, 0x80163440, 0x4afd1f4, 0x8015f933, 0x4a98a88, 0x8015be75,
-    0x4a34319, 0x80158406,
-  0x49cfba7, 0x801549e6, 0x496b432, 0x80151015, 0x4906cbb, 0x8014d693,
-    0x48a2540, 0x80149d5f,
-  0x483ddc3, 0x8014647b, 0x47d9643, 0x80142be5, 0x4774ec1, 0x8013f39e,
-    0x471073b, 0x8013bba7,
-  0x46abfb3, 0x801383fe, 0x4647828, 0x80134ca4, 0x45e309a, 0x80131599,
-    0x457e90a, 0x8012dedd,
-  0x451a177, 0x8012a86f, 0x44b59e1, 0x80127251, 0x4451249, 0x80123c82,
-    0x43ecaae, 0x80120701,
-  0x4388310, 0x8011d1d0, 0x4323b70, 0x80119ced, 0x42bf3cd, 0x80116859,
-    0x425ac28, 0x80113414,
-  0x41f6480, 0x8011001f, 0x4191cd5, 0x8010cc78, 0x412d528, 0x8010991f,
-    0x40c8d79, 0x80106616,
-  0x40645c7, 0x8010335c, 0x3fffe12, 0x801000f1, 0x3f9b65b, 0x800fced4,
-    0x3f36ea2, 0x800f9d07,
-  0x3ed26e6, 0x800f6b88, 0x3e6df28, 0x800f3a59, 0x3e09767, 0x800f0978,
-    0x3da4fa4, 0x800ed8e6,
-  0x3d407df, 0x800ea8a3, 0x3cdc017, 0x800e78af, 0x3c7784d, 0x800e490a,
-    0x3c13080, 0x800e19b4,
-  0x3bae8b2, 0x800deaad, 0x3b4a0e0, 0x800dbbf5, 0x3ae590d, 0x800d8d8b,
-    0x3a81137, 0x800d5f71,
-  0x3a1c960, 0x800d31a5, 0x39b8185, 0x800d0429, 0x39539a9, 0x800cd6fb,
-    0x38ef1ca, 0x800caa1c,
-  0x388a9ea, 0x800c7d8c, 0x3826207, 0x800c514c, 0x37c1a22, 0x800c255a,
-    0x375d23a, 0x800bf9b7,
-  0x36f8a51, 0x800bce63, 0x3694265, 0x800ba35d, 0x362fa78, 0x800b78a7,
-    0x35cb288, 0x800b4e40,
-  0x3566a96, 0x800b2427, 0x35022a2, 0x800afa5e, 0x349daac, 0x800ad0e3,
-    0x34392b4, 0x800aa7b8,
-  0x33d4abb, 0x800a7edb, 0x33702bf, 0x800a564e, 0x330bac1, 0x800a2e0f,
-    0x32a72c1, 0x800a061f,
-  0x3242abf, 0x8009de7e, 0x31de2bb, 0x8009b72c, 0x3179ab5, 0x80099029,
-    0x31152ae, 0x80096975,
-  0x30b0aa4, 0x80094310, 0x304c299, 0x80091cf9, 0x2fe7a8c, 0x8008f732,
-    0x2f8327d, 0x8008d1ba,
-  0x2f1ea6c, 0x8008ac90, 0x2eba259, 0x800887b6, 0x2e55a44, 0x8008632a,
-    0x2df122e, 0x80083eed,
-  0x2d8ca16, 0x80081b00, 0x2d281fc, 0x8007f761, 0x2cc39e1, 0x8007d411,
-    0x2c5f1c3, 0x8007b110,
-  0x2bfa9a4, 0x80078e5e, 0x2b96184, 0x80076bfb, 0x2b31961, 0x800749e7,
-    0x2acd13d, 0x80072822,
-  0x2a68917, 0x800706ac, 0x2a040f0, 0x8006e585, 0x299f8c7, 0x8006c4ac,
-    0x293b09c, 0x8006a423,
-  0x28d6870, 0x800683e8, 0x2872043, 0x800663fd, 0x280d813, 0x80064460,
-    0x27a8fe2, 0x80062513,
-  0x27447b0, 0x80060614, 0x26dff7c, 0x8005e764, 0x267b747, 0x8005c904,
-    0x2616f10, 0x8005aaf2,
-  0x25b26d7, 0x80058d2f, 0x254de9e, 0x80056fbb, 0x24e9662, 0x80055296,
-    0x2484e26, 0x800535c0,
-  0x24205e8, 0x80051939, 0x23bbda8, 0x8004fd00, 0x2357567, 0x8004e117,
-    0x22f2d25, 0x8004c57d,
-  0x228e4e2, 0x8004aa32, 0x2229c9d, 0x80048f35, 0x21c5457, 0x80047488,
-    0x2160c0f, 0x80045a29,
-  0x20fc3c6, 0x8004401a, 0x2097b7c, 0x80042659, 0x2033331, 0x80040ce7,
-    0x1fceae4, 0x8003f3c5,
-  0x1f6a297, 0x8003daf1, 0x1f05a48, 0x8003c26c, 0x1ea11f7, 0x8003aa36,
-    0x1e3c9a6, 0x8003924f,
-  0x1dd8154, 0x80037ab7, 0x1d73900, 0x8003636e, 0x1d0f0ab, 0x80034c74,
-    0x1caa855, 0x800335c9,
-  0x1c45ffe, 0x80031f6d, 0x1be17a6, 0x80030960, 0x1b7cf4d, 0x8002f3a1,
-    0x1b186f3, 0x8002de32,
-  0x1ab3e97, 0x8002c912, 0x1a4f63b, 0x8002b440, 0x19eaddd, 0x80029fbe,
-    0x198657f, 0x80028b8a,
-  0x1921d20, 0x800277a6, 0x18bd4bf, 0x80026410, 0x1858c5e, 0x800250c9,
-    0x17f43fc, 0x80023dd2,
-  0x178fb99, 0x80022b29, 0x172b335, 0x800218cf, 0x16c6ad0, 0x800206c4,
-    0x166226a, 0x8001f508,
-  0x15fda03, 0x8001e39b, 0x159919c, 0x8001d27d, 0x1534934, 0x8001c1ae,
-    0x14d00ca, 0x8001b12e,
-  0x146b860, 0x8001a0fd, 0x1406ff6, 0x8001911b, 0x13a278a, 0x80018187,
-    0x133df1e, 0x80017243,
-  0x12d96b1, 0x8001634e, 0x1274e43, 0x800154a7, 0x12105d5, 0x80014650,
-    0x11abd66, 0x80013847,
-  0x11474f6, 0x80012a8e, 0x10e2c85, 0x80011d23, 0x107e414, 0x80011008,
-    0x1019ba2, 0x8001033b,
-  0xfb5330, 0x8000f6bd, 0xf50abd, 0x8000ea8e, 0xeec249, 0x8000deaf, 0xe879d5,
-    0x8000d31e,
-  0xe23160, 0x8000c7dc, 0xdbe8eb, 0x8000bce9, 0xd5a075, 0x8000b245, 0xcf57ff,
-    0x8000a7f0,
-  0xc90f88, 0x80009dea, 0xc2c711, 0x80009433, 0xbc7e99, 0x80008aca, 0xb63621,
-    0x800081b1,
-  0xafeda8, 0x800078e7, 0xa9a52f, 0x8000706c, 0xa35cb5, 0x8000683f, 0x9d143b,
-    0x80006062,
-  0x96cbc1, 0x800058d4, 0x908346, 0x80005194, 0x8a3acb, 0x80004aa4, 0x83f250,
-    0x80004402,
-  0x7da9d4, 0x80003daf, 0x776159, 0x800037ac, 0x7118dc, 0x800031f7, 0x6ad060,
-    0x80002c91,
-  0x6487e3, 0x8000277a, 0x5e3f66, 0x800022b3, 0x57f6e9, 0x80001e3a, 0x51ae6b,
-    0x80001a10,
-  0x4b65ee, 0x80001635, 0x451d70, 0x800012a9, 0x3ed4f2, 0x80000f6c, 0x388c74,
-    0x80000c7e,
-  0x3243f5, 0x800009df, 0x2bfb77, 0x8000078e, 0x25b2f8, 0x8000058d, 0x1f6a7a,
-    0x800003db,
-  0x1921fb, 0x80000278, 0x12d97c, 0x80000163, 0xc90fe, 0x8000009e, 0x6487f,
-    0x80000027,
-
-};
-
-/**    
-* \par    
-* cosFactor tables are generated using the formula : 
cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
    
-* \par    
-* C command to generate the table    
-* 
    
-* for(i = 0; i< N; i++)    
-* {    
-*   cos_factors[i]= 2 * cos((2*i+1)*c/2);    
-* } 
    
-* \par    
-* where N is the number of factors to generate and c is pi/(2*N)    
-* \par    
-* Then converted to q31 format by multiplying with 2^31 and saturated if required.    
-*/
-
-
-static const q31_t cos_factorsQ31_128[128] = {
-  0x7fff6216, 0x7ffa72d1, 0x7ff09478, 0x7fe1c76b, 0x7fce0c3e, 0x7fb563b3,
-  0x7f97cebd, 0x7f754e80,
-  0x7f4de451, 0x7f2191b4, 0x7ef05860, 0x7eba3a39, 0x7e7f3957, 0x7e3f57ff,
-  0x7dfa98a8, 0x7db0fdf8,
-  0x7d628ac6, 0x7d0f4218, 0x7cb72724, 0x7c5a3d50, 0x7bf88830, 0x7b920b89,
-  0x7b26cb4f, 0x7ab6cba4,
-  0x7a4210d8, 0x79c89f6e, 0x794a7c12, 0x78c7aba2, 0x78403329, 0x77b417df,
-  0x77235f2d, 0x768e0ea6,
-  0x75f42c0b, 0x7555bd4c, 0x74b2c884, 0x740b53fb, 0x735f6626, 0x72af05a7,
-  0x71fa3949, 0x71410805,
-  0x708378ff, 0x6fc19385, 0x6efb5f12, 0x6e30e34a, 0x6d6227fa, 0x6c8f351c,
-  0x6bb812d1, 0x6adcc964,
-  0x69fd614a, 0x6919e320, 0x683257ab, 0x6746c7d8, 0x66573cbb, 0x6563bf92,
-  0x646c59bf, 0x637114cc,
-  0x6271fa69, 0x616f146c, 0x60686ccf, 0x5f5e0db3, 0x5e50015d, 0x5d3e5237,
-  0x5c290acc, 0x5b1035cf,
-  0x59f3de12, 0x58d40e8c, 0x57b0d256, 0x568a34a9, 0x556040e2, 0x5433027d,
-  0x53028518, 0x51ced46e,
-  0x5097fc5e, 0x4f5e08e3, 0x4e210617, 0x4ce10034, 0x4b9e0390, 0x4a581c9e,
-  0x490f57ee, 0x47c3c22f,
-  0x46756828, 0x452456bd, 0x43d09aed, 0x427a41d0, 0x4121589b, 0x3fc5ec98,
-  0x3e680b2c, 0x3d07c1d6,
-  0x3ba51e29, 0x3a402dd2, 0x38d8fe93, 0x376f9e46, 0x36041ad9, 0x34968250,
-  0x3326e2c3, 0x31b54a5e,
-  0x3041c761, 0x2ecc681e, 0x2d553afc, 0x2bdc4e6f, 0x2a61b101, 0x28e5714b,
-  0x27679df4, 0x25e845b6,
-  0x24677758, 0x22e541af, 0x2161b3a0, 0x1fdcdc1b, 0x1e56ca1e, 0x1ccf8cb3,
-  0x1b4732ef, 0x19bdcbf3,
-  0x183366e9, 0x16a81305, 0x151bdf86, 0x138edbb1, 0x120116d5, 0x1072a048,
-  0xee38766, 0xd53db92,
-  0xbc3ac35, 0xa3308bd, 0x8a2009a, 0x710a345, 0x57f0035, 0x3ed26e6, 0x25b26d7,
-  0xc90f88,
-};
-
-static const q31_t cos_factorsQ31_512[512] = {
-  0x7ffff621, 0x7fffa72c, 0x7fff0943, 0x7ffe1c65, 0x7ffce093, 0x7ffb55ce,
-  0x7ff97c18, 0x7ff75370,
-  0x7ff4dbd9, 0x7ff21553, 0x7feeffe1, 0x7feb9b85, 0x7fe7e841, 0x7fe3e616,
-  0x7fdf9508, 0x7fdaf519,
-  0x7fd6064c, 0x7fd0c8a3, 0x7fcb3c23, 0x7fc560cf, 0x7fbf36aa, 0x7fb8bdb8,
-  0x7fb1f5fc, 0x7faadf7c,
-  0x7fa37a3c, 0x7f9bc640, 0x7f93c38c, 0x7f8b7227, 0x7f82d214, 0x7f79e35a,
-  0x7f70a5fe, 0x7f671a05,
-  0x7f5d3f75, 0x7f531655, 0x7f489eaa, 0x7f3dd87c, 0x7f32c3d1, 0x7f2760af,
-  0x7f1baf1e, 0x7f0faf25,
-  0x7f0360cb, 0x7ef6c418, 0x7ee9d914, 0x7edc9fc6, 0x7ecf1837, 0x7ec14270,
-  0x7eb31e78, 0x7ea4ac58,
-  0x7e95ec1a, 0x7e86ddc6, 0x7e778166, 0x7e67d703, 0x7e57dea7, 0x7e47985b,
-  0x7e37042a, 0x7e26221f,
-  0x7e14f242, 0x7e0374a0, 0x7df1a942, 0x7ddf9034, 0x7dcd2981, 0x7dba7534,
-  0x7da77359, 0x7d9423fc,
-  0x7d808728, 0x7d6c9ce9, 0x7d58654d, 0x7d43e05e, 0x7d2f0e2b, 0x7d19eebf,
-  0x7d048228, 0x7ceec873,
-  0x7cd8c1ae, 0x7cc26de5, 0x7cabcd28, 0x7c94df83, 0x7c7da505, 0x7c661dbc,
-  0x7c4e49b7, 0x7c362904,
-  0x7c1dbbb3, 0x7c0501d2, 0x7bebfb70, 0x7bd2a89e, 0x7bb9096b, 0x7b9f1de6,
-  0x7b84e61f, 0x7b6a6227,
-  0x7b4f920e, 0x7b3475e5, 0x7b190dbc, 0x7afd59a4, 0x7ae159ae, 0x7ac50dec,
-  0x7aa8766f, 0x7a8b9348,
-  0x7a6e648a, 0x7a50ea47, 0x7a332490, 0x7a151378, 0x79f6b711, 0x79d80f6f,
-  0x79b91ca4, 0x7999dec4,
-  0x797a55e0, 0x795a820e, 0x793a6361, 0x7919f9ec, 0x78f945c3, 0x78d846fb,
-  0x78b6fda8, 0x789569df,
-  0x78738bb3, 0x7851633b, 0x782ef08b, 0x780c33b8, 0x77e92cd9, 0x77c5dc01,
-  0x77a24148, 0x777e5cc3,
-  0x775a2e89, 0x7735b6af, 0x7710f54c, 0x76ebea77, 0x76c69647, 0x76a0f8d2,
-  0x767b1231, 0x7654e279,
-  0x762e69c4, 0x7607a828, 0x75e09dbd, 0x75b94a9c, 0x7591aedd, 0x7569ca99,
-  0x75419de7, 0x751928e0,
-  0x74f06b9e, 0x74c7663a, 0x749e18cd, 0x74748371, 0x744aa63f, 0x74208150,
-  0x73f614c0, 0x73cb60a8,
-  0x73a06522, 0x73752249, 0x73499838, 0x731dc70a, 0x72f1aed9, 0x72c54fc1,
-  0x7298a9dd, 0x726bbd48,
-  0x723e8a20, 0x7211107e, 0x71e35080, 0x71b54a41, 0x7186fdde, 0x71586b74,
-  0x7129931f, 0x70fa74fc,
-  0x70cb1128, 0x709b67c0, 0x706b78e3, 0x703b44ad, 0x700acb3c, 0x6fda0cae,
-  0x6fa90921, 0x6f77c0b3,
-  0x6f463383, 0x6f1461b0, 0x6ee24b57, 0x6eaff099, 0x6e7d5193, 0x6e4a6e66,
-  0x6e174730, 0x6de3dc11,
-  0x6db02d29, 0x6d7c3a98, 0x6d48047e, 0x6d138afb, 0x6cdece2f, 0x6ca9ce3b,
-  0x6c748b3f, 0x6c3f055d,
-  0x6c093cb6, 0x6bd3316a, 0x6b9ce39b, 0x6b66536b, 0x6b2f80fb, 0x6af86c6c,
-  0x6ac115e2, 0x6a897d7d,
-  0x6a51a361, 0x6a1987b0, 0x69e12a8c, 0x69a88c19, 0x696fac78, 0x69368bce,
-  0x68fd2a3d, 0x68c387e9,
-  0x6889a4f6, 0x684f8186, 0x68151dbe, 0x67da79c3, 0x679f95b7, 0x676471c0,
-  0x67290e02, 0x66ed6aa1,
-  0x66b187c3, 0x6675658c, 0x66390422, 0x65fc63a9, 0x65bf8447, 0x65826622,
-  0x6545095f, 0x65076e25,
-  0x64c99498, 0x648b7ce0, 0x644d2722, 0x640e9386, 0x63cfc231, 0x6390b34a,
-  0x635166f9, 0x6311dd64,
-  0x62d216b3, 0x6292130c, 0x6251d298, 0x6211557e, 0x61d09be5, 0x618fa5f7,
-  0x614e73da, 0x610d05b7,
-  0x60cb5bb7, 0x60897601, 0x604754bf, 0x6004f819, 0x5fc26038, 0x5f7f8d46,
-  0x5f3c7f6b, 0x5ef936d1,
-  0x5eb5b3a2, 0x5e71f606, 0x5e2dfe29, 0x5de9cc33, 0x5da5604f, 0x5d60baa7,
-  0x5d1bdb65, 0x5cd6c2b5,
-  0x5c9170bf, 0x5c4be5b0, 0x5c0621b2, 0x5bc024f0, 0x5b79ef96, 0x5b3381ce,
-  0x5aecdbc5, 0x5aa5fda5,
-  0x5a5ee79a, 0x5a1799d1, 0x59d01475, 0x598857b2, 0x594063b5, 0x58f838a9,
-  0x58afd6bd, 0x58673e1b,
-  0x581e6ef1, 0x57d5696d, 0x578c2dba, 0x5742bc06, 0x56f9147e, 0x56af3750,
-  0x566524aa, 0x561adcb9,
-  0x55d05faa, 0x5585adad, 0x553ac6ee, 0x54efab9c, 0x54a45be6, 0x5458d7f9,
-  0x540d2005, 0x53c13439,
-  0x537514c2, 0x5328c1d0, 0x52dc3b92, 0x528f8238, 0x524295f0, 0x51f576ea,
-  0x51a82555, 0x515aa162,
-  0x510ceb40, 0x50bf031f, 0x5070e92f, 0x50229da1, 0x4fd420a4, 0x4f857269,
-  0x4f369320, 0x4ee782fb,
-  0x4e984229, 0x4e48d0dd, 0x4df92f46, 0x4da95d96, 0x4d595bfe, 0x4d092ab0,
-  0x4cb8c9dd, 0x4c6839b7,
-  0x4c177a6e, 0x4bc68c36, 0x4b756f40, 0x4b2423be, 0x4ad2a9e2, 0x4a8101de,
-  0x4a2f2be6, 0x49dd282a,
-  0x498af6df, 0x49389836, 0x48e60c62, 0x48935397, 0x48406e08, 0x47ed5be6,
-  0x479a1d67, 0x4746b2bc,
-  0x46f31c1a, 0x469f59b4, 0x464b6bbe, 0x45f7526b, 0x45a30df0, 0x454e9e80,
-  0x44fa0450, 0x44a53f93,
-  0x4450507e, 0x43fb3746, 0x43a5f41e, 0x4350873c, 0x42faf0d4, 0x42a5311b,
-  0x424f4845, 0x41f93689,
-  0x41a2fc1a, 0x414c992f, 0x40f60dfb, 0x409f5ab6, 0x40487f94, 0x3ff17cca,
-  0x3f9a5290, 0x3f430119,
-  0x3eeb889c, 0x3e93e950, 0x3e3c2369, 0x3de4371f, 0x3d8c24a8, 0x3d33ec39,
-  0x3cdb8e09, 0x3c830a50,
-  0x3c2a6142, 0x3bd19318, 0x3b78a007, 0x3b1f8848, 0x3ac64c0f, 0x3a6ceb96,
-  0x3a136712, 0x39b9bebc,
-  0x395ff2c9, 0x39060373, 0x38abf0ef, 0x3851bb77, 0x37f76341, 0x379ce885,
-  0x37424b7b, 0x36e78c5b,
-  0x368cab5c, 0x3631a8b8, 0x35d684a6, 0x357b3f5d, 0x351fd918, 0x34c4520d,
-  0x3468aa76, 0x340ce28b,
-  0x33b0fa84, 0x3354f29b, 0x32f8cb07, 0x329c8402, 0x32401dc6, 0x31e39889,
-  0x3186f487, 0x312a31f8,
-  0x30cd5115, 0x30705217, 0x30133539, 0x2fb5fab2, 0x2f58a2be, 0x2efb2d95,
-  0x2e9d9b70, 0x2e3fec8b,
-  0x2de2211e, 0x2d843964, 0x2d263596, 0x2cc815ee, 0x2c69daa6, 0x2c0b83fa,
-  0x2bad1221, 0x2b4e8558,
-  0x2aefddd8, 0x2a911bdc, 0x2a323f9e, 0x29d34958, 0x29743946, 0x29150fa1,
-  0x28b5cca5, 0x2856708d,
-  0x27f6fb92, 0x27976df1, 0x2737c7e3, 0x26d809a5, 0x26783370, 0x26184581,
-  0x25b84012, 0x2558235f,
-  0x24f7efa2, 0x2497a517, 0x243743fa, 0x23d6cc87, 0x23763ef7, 0x23159b88,
-  0x22b4e274, 0x225413f8,
-  0x21f3304f, 0x219237b5, 0x21312a65, 0x20d0089c, 0x206ed295, 0x200d888d,
-  0x1fac2abf, 0x1f4ab968,
-  0x1ee934c3, 0x1e879d0d, 0x1e25f282, 0x1dc4355e, 0x1d6265dd, 0x1d00843d,
-  0x1c9e90b8, 0x1c3c8b8c,
-  0x1bda74f6, 0x1b784d30, 0x1b161479, 0x1ab3cb0d, 0x1a517128, 0x19ef0707,
-  0x198c8ce7, 0x192a0304,
-  0x18c7699b, 0x1864c0ea, 0x1802092c, 0x179f429f, 0x173c6d80, 0x16d98a0c,
-  0x1676987f, 0x16139918,
-  0x15b08c12, 0x154d71aa, 0x14ea4a1f, 0x148715ae, 0x1423d492, 0x13c0870a,
-  0x135d2d53, 0x12f9c7aa,
-  0x1296564d, 0x1232d979, 0x11cf516a, 0x116bbe60, 0x11082096, 0x10a4784b,
-  0x1040c5bb, 0xfdd0926,
-  0xf7942c7, 0xf1572dc, 0xeb199a4, 0xe4db75b, 0xde9cc40, 0xd85d88f, 0xd21dc87,
-  0xcbdd865,
-  0xc59cc68, 0xbf5b8cb, 0xb919dcf, 0xb2d7baf, 0xac952aa, 0xa6522fe, 0xa00ece8,
-  0x99cb0a7,
-  0x9386e78, 0x8d42699, 0x86fd947, 0x80b86c2, 0x7a72f45, 0x742d311, 0x6de7262,
-  0x67a0d76,
-  0x615a48b, 0x5b137df, 0x54cc7b1, 0x4e8543e, 0x483ddc3, 0x41f6480, 0x3bae8b2,
-  0x3566a96,
-  0x2f1ea6c, 0x28d6870, 0x228e4e2, 0x1c45ffe, 0x15fda03, 0xfb5330, 0x96cbc1,
-  0x3243f5,
-};
-
-static const q31_t cos_factorsQ31_2048[2048] = {
-  0x7fffff62, 0x7ffffa73, 0x7ffff094, 0x7fffe1c6, 0x7fffce09, 0x7fffb55c,
-  0x7fff97c1, 0x7fff7536,
-  0x7fff4dbb, 0x7fff2151, 0x7ffeeff8, 0x7ffeb9b0, 0x7ffe7e79, 0x7ffe3e52,
-  0x7ffdf93c, 0x7ffdaf37,
-  0x7ffd6042, 0x7ffd0c5f, 0x7ffcb38c, 0x7ffc55ca, 0x7ffbf319, 0x7ffb8b78,
-  0x7ffb1ee9, 0x7ffaad6a,
-  0x7ffa36fc, 0x7ff9bba0, 0x7ff93b54, 0x7ff8b619, 0x7ff82bef, 0x7ff79cd6,
-  0x7ff708ce, 0x7ff66fd7,
-  0x7ff5d1f1, 0x7ff52f1d, 0x7ff48759, 0x7ff3daa6, 0x7ff32905, 0x7ff27275,
-  0x7ff1b6f6, 0x7ff0f688,
-  0x7ff0312c, 0x7fef66e1, 0x7fee97a7, 0x7fedc37e, 0x7fecea67, 0x7fec0c62,
-  0x7feb296d, 0x7fea418b,
-  0x7fe954ba, 0x7fe862fa, 0x7fe76c4c, 0x7fe670b0, 0x7fe57025, 0x7fe46aac,
-  0x7fe36045, 0x7fe250ef,
-  0x7fe13cac, 0x7fe0237a, 0x7fdf055a, 0x7fdde24d, 0x7fdcba51, 0x7fdb8d67,
-  0x7fda5b8f, 0x7fd924ca,
-  0x7fd7e917, 0x7fd6a875, 0x7fd562e7, 0x7fd4186a, 0x7fd2c900, 0x7fd174a8,
-  0x7fd01b63, 0x7fcebd31,
-  0x7fcd5a11, 0x7fcbf203, 0x7fca8508, 0x7fc91320, 0x7fc79c4b, 0x7fc62089,
-  0x7fc49fda, 0x7fc31a3d,
-  0x7fc18fb4, 0x7fc0003e, 0x7fbe6bdb, 0x7fbcd28b, 0x7fbb344e, 0x7fb99125,
-  0x7fb7e90f, 0x7fb63c0d,
-  0x7fb48a1e, 0x7fb2d343, 0x7fb1177b, 0x7faf56c7, 0x7fad9127, 0x7fabc69b,
-  0x7fa9f723, 0x7fa822bf,
-  0x7fa6496e, 0x7fa46b32, 0x7fa2880b, 0x7fa09ff7, 0x7f9eb2f8, 0x7f9cc10d,
-  0x7f9aca37, 0x7f98ce76,
-  0x7f96cdc9, 0x7f94c831, 0x7f92bdad, 0x7f90ae3f, 0x7f8e99e6, 0x7f8c80a1,
-  0x7f8a6272, 0x7f883f58,
-  0x7f861753, 0x7f83ea64, 0x7f81b88a, 0x7f7f81c6, 0x7f7d4617, 0x7f7b057e,
-  0x7f78bffb, 0x7f76758e,
-  0x7f742637, 0x7f71d1f6, 0x7f6f78cb, 0x7f6d1ab6, 0x7f6ab7b8, 0x7f684fd0,
-  0x7f65e2ff, 0x7f637144,
-  0x7f60faa0, 0x7f5e7f13, 0x7f5bfe9d, 0x7f59793e, 0x7f56eef5, 0x7f545fc5,
-  0x7f51cbab, 0x7f4f32a9,
-  0x7f4c94be, 0x7f49f1eb, 0x7f474a30, 0x7f449d8c, 0x7f41ec01, 0x7f3f358d,
-  0x7f3c7a31, 0x7f39b9ee,
-  0x7f36f4c3, 0x7f342ab1, 0x7f315bb7, 0x7f2e87d6, 0x7f2baf0d, 0x7f28d15d,
-  0x7f25eec7, 0x7f230749,
-  0x7f201ae5, 0x7f1d299a, 0x7f1a3368, 0x7f173850, 0x7f143852, 0x7f11336d,
-  0x7f0e29a3, 0x7f0b1af2,
-  0x7f08075c, 0x7f04eedf, 0x7f01d17d, 0x7efeaf36, 0x7efb8809, 0x7ef85bf7,
-  0x7ef52b00, 0x7ef1f524,
-  0x7eeeba62, 0x7eeb7abc, 0x7ee83632, 0x7ee4ecc3, 0x7ee19e6f, 0x7ede4b38,
-  0x7edaf31c, 0x7ed7961c,
-  0x7ed43438, 0x7ed0cd70, 0x7ecd61c5, 0x7ec9f137, 0x7ec67bc5, 0x7ec3016f,
-  0x7ebf8237, 0x7ebbfe1c,
-  0x7eb8751e, 0x7eb4e73d, 0x7eb1547a, 0x7eadbcd4, 0x7eaa204c, 0x7ea67ee2,
-  0x7ea2d896, 0x7e9f2d68,
-  0x7e9b7d58, 0x7e97c867, 0x7e940e94, 0x7e904fe0, 0x7e8c8c4b, 0x7e88c3d5,
-  0x7e84f67e, 0x7e812447,
-  0x7e7d4d2f, 0x7e797136, 0x7e75905d, 0x7e71aaa4, 0x7e6dc00c, 0x7e69d093,
-  0x7e65dc3b, 0x7e61e303,
-  0x7e5de4ec, 0x7e59e1f5, 0x7e55da20, 0x7e51cd6c, 0x7e4dbbd9, 0x7e49a567,
-  0x7e458a17, 0x7e4169e9,
-  0x7e3d44dd, 0x7e391af3, 0x7e34ec2b, 0x7e30b885, 0x7e2c8002, 0x7e2842a2,
-  0x7e240064, 0x7e1fb94a,
-  0x7e1b6d53, 0x7e171c7f, 0x7e12c6ce, 0x7e0e6c42, 0x7e0a0cd9, 0x7e05a894,
-  0x7e013f74, 0x7dfcd178,
-  0x7df85ea0, 0x7df3e6ee, 0x7def6a60, 0x7deae8f7, 0x7de662b3, 0x7de1d795,
-  0x7ddd479d, 0x7dd8b2ca,
-  0x7dd4191d, 0x7dcf7a96, 0x7dcad736, 0x7dc62efc, 0x7dc181e8, 0x7dbccffc,
-  0x7db81936, 0x7db35d98,
-  0x7dae9d21, 0x7da9d7d2, 0x7da50dab, 0x7da03eab, 0x7d9b6ad3, 0x7d969224,
-  0x7d91b49e, 0x7d8cd240,
-  0x7d87eb0a, 0x7d82fefe, 0x7d7e0e1c, 0x7d791862, 0x7d741dd2, 0x7d6f1e6c,
-  0x7d6a1a31, 0x7d65111f,
-  0x7d600338, 0x7d5af07b, 0x7d55d8e9, 0x7d50bc82, 0x7d4b9b46, 0x7d467536,
-  0x7d414a51, 0x7d3c1a98,
-  0x7d36e60b, 0x7d31acaa, 0x7d2c6e76, 0x7d272b6e, 0x7d21e393, 0x7d1c96e5,
-  0x7d174564, 0x7d11ef11,
-  0x7d0c93eb, 0x7d0733f3, 0x7d01cf29, 0x7cfc658d, 0x7cf6f720, 0x7cf183e1,
-  0x7cec0bd1, 0x7ce68ef0,
-  0x7ce10d3f, 0x7cdb86bd, 0x7cd5fb6a, 0x7cd06b48, 0x7ccad656, 0x7cc53c94,
-  0x7cbf9e03, 0x7cb9faa2,
-  0x7cb45272, 0x7caea574, 0x7ca8f3a7, 0x7ca33d0c, 0x7c9d81a3, 0x7c97c16b,
-  0x7c91fc66, 0x7c8c3294,
-  0x7c8663f4, 0x7c809088, 0x7c7ab84e, 0x7c74db48, 0x7c6ef976, 0x7c6912d7,
-  0x7c63276d, 0x7c5d3737,
-  0x7c574236, 0x7c514869, 0x7c4b49d2, 0x7c45466f, 0x7c3f3e42, 0x7c39314b,
-  0x7c331f8a, 0x7c2d08ff,
-  0x7c26edab, 0x7c20cd8d, 0x7c1aa8a6, 0x7c147ef6, 0x7c0e507e, 0x7c081d3d,
-  0x7c01e534, 0x7bfba863,
-  0x7bf566cb, 0x7bef206b, 0x7be8d544, 0x7be28556, 0x7bdc30a1, 0x7bd5d726,
-  0x7bcf78e5, 0x7bc915dd,
-  0x7bc2ae10, 0x7bbc417e, 0x7bb5d026, 0x7baf5a09, 0x7ba8df28, 0x7ba25f82,
-  0x7b9bdb18, 0x7b9551ea,
-  0x7b8ec3f8, 0x7b883143, 0x7b8199ca, 0x7b7afd8f, 0x7b745c91, 0x7b6db6d0,
-  0x7b670c4d, 0x7b605d09,
-  0x7b59a902, 0x7b52f03a, 0x7b4c32b1, 0x7b457068, 0x7b3ea95d, 0x7b37dd92,
-  0x7b310d07, 0x7b2a37bc,
-  0x7b235db2, 0x7b1c7ee8, 0x7b159b5f, 0x7b0eb318, 0x7b07c612, 0x7b00d44d,
-  0x7af9ddcb, 0x7af2e28b,
-  0x7aebe28d, 0x7ae4ddd2, 0x7addd45b, 0x7ad6c626, 0x7acfb336, 0x7ac89b89,
-  0x7ac17f20, 0x7aba5dfc,
-  0x7ab3381d, 0x7aac0d82, 0x7aa4de2d, 0x7a9daa1d, 0x7a967153, 0x7a8f33d0,
-  0x7a87f192, 0x7a80aa9c,
-  0x7a795eec, 0x7a720e84, 0x7a6ab963, 0x7a635f8a, 0x7a5c00f9, 0x7a549db0,
-  0x7a4d35b0, 0x7a45c8f9,
-  0x7a3e578b, 0x7a36e166, 0x7a2f668c, 0x7a27e6fb, 0x7a2062b5, 0x7a18d9b9,
-  0x7a114c09, 0x7a09b9a4,
-  0x7a02228a, 0x79fa86bc, 0x79f2e63a, 0x79eb4105, 0x79e3971c, 0x79dbe880,
-  0x79d43532, 0x79cc7d31,
-  0x79c4c07e, 0x79bcff19, 0x79b53903, 0x79ad6e3c, 0x79a59ec3, 0x799dca9a,
-  0x7995f1c1, 0x798e1438,
-  0x798631ff, 0x797e4b16, 0x79765f7f, 0x796e6f39, 0x79667a44, 0x795e80a1,
-  0x79568250, 0x794e7f52,
-  0x794677a6, 0x793e6b4e, 0x79365a49, 0x792e4497, 0x79262a3a, 0x791e0b31,
-  0x7915e77c, 0x790dbf1d,
-  0x79059212, 0x78fd605d, 0x78f529fe, 0x78eceef6, 0x78e4af44, 0x78dc6ae8,
-  0x78d421e4, 0x78cbd437,
-  0x78c381e2, 0x78bb2ae5, 0x78b2cf41, 0x78aa6ef5, 0x78a20a03, 0x7899a06a,
-  0x7891322a, 0x7888bf45,
-  0x788047ba, 0x7877cb89, 0x786f4ab4, 0x7866c53a, 0x785e3b1c, 0x7855ac5a,
-  0x784d18f4, 0x784480ea,
-  0x783be43e, 0x783342ef, 0x782a9cfe, 0x7821f26b, 0x78194336, 0x78108f60,
-  0x7807d6e9, 0x77ff19d1,
-  0x77f65819, 0x77ed91c0, 0x77e4c6c9, 0x77dbf732, 0x77d322fc, 0x77ca4a27,
-  0x77c16cb4, 0x77b88aa3,
-  0x77afa3f5, 0x77a6b8a9, 0x779dc8c0, 0x7794d43b, 0x778bdb19, 0x7782dd5c,
-  0x7779db03, 0x7770d40f,
-  0x7767c880, 0x775eb857, 0x7755a394, 0x774c8a36, 0x77436c40, 0x773a49b0,
-  0x77312287, 0x7727f6c6,
-  0x771ec66e, 0x7715917d, 0x770c57f5, 0x770319d6, 0x76f9d721, 0x76f08fd5,
-  0x76e743f4, 0x76ddf37c,
-  0x76d49e70, 0x76cb44cf, 0x76c1e699, 0x76b883d0, 0x76af1c72, 0x76a5b082,
-  0x769c3ffe, 0x7692cae8,
-  0x7689513f, 0x767fd304, 0x76765038, 0x766cc8db, 0x76633ced, 0x7659ac6f,
-  0x76501760, 0x76467dc2,
-  0x763cdf94, 0x76333cd8, 0x7629958c, 0x761fe9b3, 0x7616394c, 0x760c8457,
-  0x7602cad5, 0x75f90cc7,
-  0x75ef4a2c, 0x75e58305, 0x75dbb753, 0x75d1e715, 0x75c8124d, 0x75be38fa,
-  0x75b45b1d, 0x75aa78b6,
-  0x75a091c6, 0x7596a64d, 0x758cb64c, 0x7582c1c2, 0x7578c8b0, 0x756ecb18,
-  0x7564c8f8, 0x755ac251,
-  0x7550b725, 0x7546a772, 0x753c933a, 0x75327a7d, 0x75285d3b, 0x751e3b75,
-  0x7514152b, 0x7509ea5d,
-  0x74ffbb0d, 0x74f58739, 0x74eb4ee3, 0x74e1120c, 0x74d6d0b2, 0x74cc8ad8,
-  0x74c2407d, 0x74b7f1a1,
-  0x74ad9e46, 0x74a3466b, 0x7498ea11, 0x748e8938, 0x748423e0, 0x7479ba0b,
-  0x746f4bb8, 0x7464d8e8,
-  0x745a619b, 0x744fe5d2, 0x7445658d, 0x743ae0cc, 0x74305790, 0x7425c9da,
-  0x741b37a9, 0x7410a0fe,
-  0x740605d9, 0x73fb663c, 0x73f0c226, 0x73e61997, 0x73db6c91, 0x73d0bb13,
-  0x73c6051f, 0x73bb4ab3,
-  0x73b08bd1, 0x73a5c87a, 0x739b00ad, 0x7390346b, 0x738563b5, 0x737a8e8a,
-  0x736fb4ec, 0x7364d6da,
-  0x7359f456, 0x734f0d5f, 0x734421f6, 0x7339321b, 0x732e3dcf, 0x73234512,
-  0x731847e5, 0x730d4648,
-  0x7302403c, 0x72f735c0, 0x72ec26d6, 0x72e1137d, 0x72d5fbb7, 0x72cadf83,
-  0x72bfbee3, 0x72b499d6,
-  0x72a9705c, 0x729e4277, 0x72931027, 0x7287d96c, 0x727c9e47, 0x72715eb8,
-  0x72661abf, 0x725ad25d,
-  0x724f8593, 0x72443460, 0x7238dec5, 0x722d84c4, 0x7222265b, 0x7216c38c,
-  0x720b5c57, 0x71fff0bc,
-  0x71f480bc, 0x71e90c57, 0x71dd938f, 0x71d21662, 0x71c694d2, 0x71bb0edf,
-  0x71af848a, 0x71a3f5d2,
-  0x719862b9, 0x718ccb3f, 0x71812f65, 0x71758f29, 0x7169ea8f, 0x715e4194,
-  0x7152943b, 0x7146e284,
-  0x713b2c6e, 0x712f71fb, 0x7123b32b, 0x7117effe, 0x710c2875, 0x71005c90,
-  0x70f48c50, 0x70e8b7b5,
-  0x70dcdec0, 0x70d10171, 0x70c51fc8, 0x70b939c7, 0x70ad4f6d, 0x70a160ba,
-  0x70956db1, 0x70897650,
-  0x707d7a98, 0x70717a8a, 0x70657626, 0x70596d6d, 0x704d6060, 0x70414efd,
-  0x70353947, 0x70291f3e,
-  0x701d00e1, 0x7010de32, 0x7004b731, 0x6ff88bde, 0x6fec5c3b, 0x6fe02846,
-  0x6fd3f001, 0x6fc7b36d,
-  0x6fbb728a, 0x6faf2d57, 0x6fa2e3d7, 0x6f969608, 0x6f8a43ed, 0x6f7ded84,
-  0x6f7192cf, 0x6f6533ce,
-  0x6f58d082, 0x6f4c68eb, 0x6f3ffd09, 0x6f338cde, 0x6f271868, 0x6f1a9faa,
-  0x6f0e22a3, 0x6f01a155,
-  0x6ef51bbe, 0x6ee891e1, 0x6edc03bc, 0x6ecf7152, 0x6ec2daa2, 0x6eb63fad,
-  0x6ea9a073, 0x6e9cfcf5,
-  0x6e905534, 0x6e83a92f, 0x6e76f8e7, 0x6e6a445d, 0x6e5d8b91, 0x6e50ce84,
-  0x6e440d37, 0x6e3747a9,
-  0x6e2a7ddb, 0x6e1dafce, 0x6e10dd82, 0x6e0406f8, 0x6df72c30, 0x6dea4d2b,
-  0x6ddd69e9, 0x6dd0826a,
-  0x6dc396b0, 0x6db6a6ba, 0x6da9b28a, 0x6d9cba1f, 0x6d8fbd7a, 0x6d82bc9d,
-  0x6d75b786, 0x6d68ae37,
-  0x6d5ba0b0, 0x6d4e8ef2, 0x6d4178fd, 0x6d345ed1, 0x6d274070, 0x6d1a1dda,
-  0x6d0cf70f, 0x6cffcc0f,
-  0x6cf29cdc, 0x6ce56975, 0x6cd831dc, 0x6ccaf610, 0x6cbdb613, 0x6cb071e4,
-  0x6ca32985, 0x6c95dcf6,
-  0x6c888c36, 0x6c7b3748, 0x6c6dde2b, 0x6c6080e0, 0x6c531f67, 0x6c45b9c1,
-  0x6c384fef, 0x6c2ae1f0,
-  0x6c1d6fc6, 0x6c0ff971, 0x6c027ef1, 0x6bf50047, 0x6be77d74, 0x6bd9f677,
-  0x6bcc6b53, 0x6bbedc06,
-  0x6bb14892, 0x6ba3b0f7, 0x6b961536, 0x6b88754f, 0x6b7ad142, 0x6b6d2911,
-  0x6b5f7cbc, 0x6b51cc42,
-  0x6b4417a6, 0x6b365ee7, 0x6b28a206, 0x6b1ae103, 0x6b0d1bdf, 0x6aff529a,
-  0x6af18536, 0x6ae3b3b2,
-  0x6ad5de0f, 0x6ac8044e, 0x6aba266e, 0x6aac4472, 0x6a9e5e58, 0x6a907423,
-  0x6a8285d1, 0x6a749365,
-  0x6a669cdd, 0x6a58a23c, 0x6a4aa381, 0x6a3ca0ad, 0x6a2e99c0, 0x6a208ebb,
-  0x6a127f9f, 0x6a046c6c,
-  0x69f65523, 0x69e839c4, 0x69da1a50, 0x69cbf6c7, 0x69bdcf29, 0x69afa378,
-  0x69a173b5, 0x69933fde,
-  0x698507f6, 0x6976cbfc, 0x69688bf1, 0x695a47d6, 0x694bffab, 0x693db371,
-  0x692f6328, 0x69210ed1,
-  0x6912b66c, 0x690459fb, 0x68f5f97d, 0x68e794f3, 0x68d92c5d, 0x68cabfbd,
-  0x68bc4f13, 0x68adda5f,
-  0x689f61a1, 0x6890e4dc, 0x6882640e, 0x6873df38, 0x6865565c, 0x6856c979,
-  0x68483891, 0x6839a3a4,
-  0x682b0ab1, 0x681c6dbb, 0x680dccc1, 0x67ff27c4, 0x67f07ec5, 0x67e1d1c4,
-  0x67d320c1, 0x67c46bbe,
-  0x67b5b2bb, 0x67a6f5b8, 0x679834b6, 0x67896fb6, 0x677aa6b8, 0x676bd9bd,
-  0x675d08c4, 0x674e33d0,
-  0x673f5ae0, 0x67307df5, 0x67219d10, 0x6712b831, 0x6703cf58, 0x66f4e287,
-  0x66e5f1be, 0x66d6fcfd,
-  0x66c80445, 0x66b90797, 0x66aa06f3, 0x669b0259, 0x668bf9cb, 0x667ced49,
-  0x666ddcd3, 0x665ec86b,
-  0x664fb010, 0x664093c3, 0x66317385, 0x66224f56, 0x66132738, 0x6603fb2a,
-  0x65f4cb2d, 0x65e59742,
-  0x65d65f69, 0x65c723a3, 0x65b7e3f1, 0x65a8a052, 0x659958c9, 0x658a0d54,
-  0x657abdf6, 0x656b6aae,
-  0x655c137d, 0x654cb863, 0x653d5962, 0x652df679, 0x651e8faa, 0x650f24f5,
-  0x64ffb65b, 0x64f043dc,
-  0x64e0cd78, 0x64d15331, 0x64c1d507, 0x64b252fa, 0x64a2cd0c, 0x6493433c,
-  0x6483b58c, 0x647423fb,
-  0x64648e8c, 0x6454f53d, 0x64455810, 0x6435b706, 0x6426121e, 0x6416695a,
-  0x6406bcba, 0x63f70c3f,
-  0x63e757ea, 0x63d79fba, 0x63c7e3b1, 0x63b823cf, 0x63a86015, 0x63989884,
-  0x6388cd1b, 0x6378fddc,
-  0x63692ac7, 0x635953dd, 0x6349791f, 0x63399a8d, 0x6329b827, 0x6319d1ef,
-  0x6309e7e4, 0x62f9fa09,
-  0x62ea085c, 0x62da12df, 0x62ca1992, 0x62ba1c77, 0x62aa1b8d, 0x629a16d5,
-  0x628a0e50, 0x627a01fe,
-  0x6269f1e1, 0x6259ddf8, 0x6249c645, 0x6239aac7, 0x62298b81, 0x62196871,
-  0x62094199, 0x61f916f9,
-  0x61e8e893, 0x61d8b666, 0x61c88074, 0x61b846bc, 0x61a80940, 0x6197c800,
-  0x618782fd, 0x61773a37,
-  0x6166edb0, 0x61569d67, 0x6146495d, 0x6135f193, 0x6125960a, 0x611536c2,
-  0x6104d3bc, 0x60f46cf9,
-  0x60e40278, 0x60d3943b, 0x60c32243, 0x60b2ac8f, 0x60a23322, 0x6091b5fa,
-  0x60813519, 0x6070b080,
-  0x6060282f, 0x604f9c27, 0x603f0c69, 0x602e78f4, 0x601de1ca, 0x600d46ec,
-  0x5ffca859, 0x5fec0613,
-  0x5fdb601b, 0x5fcab670, 0x5fba0914, 0x5fa95807, 0x5f98a34a, 0x5f87eade,
-  0x5f772ec2, 0x5f666ef9,
-  0x5f55ab82, 0x5f44e45e, 0x5f34198e, 0x5f234b12, 0x5f1278eb, 0x5f01a31a,
-  0x5ef0c99f, 0x5edfec7b,
-  0x5ecf0baf, 0x5ebe273b, 0x5ead3f1f, 0x5e9c535e, 0x5e8b63f7, 0x5e7a70ea,
-  0x5e697a39, 0x5e587fe5,
-  0x5e4781ed, 0x5e368053, 0x5e257b17, 0x5e147239, 0x5e0365bb, 0x5df2559e,
-  0x5de141e1, 0x5dd02a85,
-  0x5dbf0f8c, 0x5dadf0f5, 0x5d9ccec2, 0x5d8ba8f3, 0x5d7a7f88, 0x5d695283,
-  0x5d5821e4, 0x5d46edac,
-  0x5d35b5db, 0x5d247a72, 0x5d133b72, 0x5d01f8dc, 0x5cf0b2af, 0x5cdf68ed,
-  0x5cce1b97, 0x5cbccaac,
-  0x5cab762f, 0x5c9a1e1e, 0x5c88c27c, 0x5c776348, 0x5c660084, 0x5c549a30,
-  0x5c43304d, 0x5c31c2db,
-  0x5c2051db, 0x5c0edd4e, 0x5bfd6534, 0x5bebe98e, 0x5bda6a5d, 0x5bc8e7a2,
-  0x5bb7615d, 0x5ba5d78e,
-  0x5b944a37, 0x5b82b958, 0x5b7124f2, 0x5b5f8d06, 0x5b4df193, 0x5b3c529c,
-  0x5b2ab020, 0x5b190a20,
-  0x5b07609d, 0x5af5b398, 0x5ae40311, 0x5ad24f09, 0x5ac09781, 0x5aaedc78,
-  0x5a9d1df1, 0x5a8b5bec,
-  0x5a799669, 0x5a67cd69, 0x5a5600ec, 0x5a4430f5, 0x5a325d82, 0x5a208695,
-  0x5a0eac2e, 0x59fcce4f,
-  0x59eaecf8, 0x59d90829, 0x59c71fe3, 0x59b53427, 0x59a344f6, 0x59915250,
-  0x597f5c36, 0x596d62a9,
-  0x595b65aa, 0x59496538, 0x59376155, 0x59255a02, 0x59134f3e, 0x5901410c,
-  0x58ef2f6b, 0x58dd1a5d,
-  0x58cb01e1, 0x58b8e5f9, 0x58a6c6a5, 0x5894a3e7, 0x58827dbe, 0x5870542c,
-  0x585e2730, 0x584bf6cd,
-  0x5839c302, 0x58278bd1, 0x58155139, 0x5803133c, 0x57f0d1da, 0x57de8d15,
-  0x57cc44ec, 0x57b9f960,
-  0x57a7aa73, 0x57955825, 0x57830276, 0x5770a968, 0x575e4cfa, 0x574bed2f,
-  0x57398a05, 0x5727237f,
-  0x5714b99d, 0x57024c5f, 0x56efdbc7, 0x56dd67d4, 0x56caf088, 0x56b875e4,
-  0x56a5f7e7, 0x56937694,
-  0x5680f1ea, 0x566e69ea, 0x565bde95, 0x56494fec, 0x5636bdef, 0x5624289f,
-  0x56118ffe, 0x55fef40a,
-  0x55ec54c6, 0x55d9b232, 0x55c70c4f, 0x55b4631d, 0x55a1b69d, 0x558f06d0,
-  0x557c53b6, 0x55699d51,
-  0x5556e3a1, 0x554426a7, 0x55316663, 0x551ea2d6, 0x550bdc01, 0x54f911e5,
-  0x54e64482, 0x54d373d9,
-  0x54c09feb, 0x54adc8b8, 0x549aee42, 0x54881089, 0x54752f8d, 0x54624b50,
-  0x544f63d2, 0x543c7914,
-  0x54298b17, 0x541699db, 0x5403a561, 0x53f0adaa, 0x53ddb2b6, 0x53cab486,
-  0x53b7b31c, 0x53a4ae77,
-  0x5391a699, 0x537e9b82, 0x536b8d33, 0x53587bad, 0x534566f0, 0x53324efd,
-  0x531f33d5, 0x530c1579,
-  0x52f8f3e9, 0x52e5cf27, 0x52d2a732, 0x52bf7c0b, 0x52ac4db4, 0x52991c2d,
-  0x5285e777, 0x5272af92,
-  0x525f7480, 0x524c3640, 0x5238f4d4, 0x5225b03d, 0x5212687b, 0x51ff1d8f,
-  0x51ebcf7a, 0x51d87e3c,
-  0x51c529d7, 0x51b1d24a, 0x519e7797, 0x518b19bf, 0x5177b8c2, 0x516454a0,
-  0x5150ed5c, 0x513d82f4,
-  0x512a156b, 0x5116a4c1, 0x510330f7, 0x50efba0d, 0x50dc4005, 0x50c8c2de,
-  0x50b5429a, 0x50a1bf39,
-  0x508e38bd, 0x507aaf25, 0x50672273, 0x505392a8, 0x503fffc4, 0x502c69c8,
-  0x5018d0b4, 0x5005348a,
-  0x4ff1954b, 0x4fddf2f6, 0x4fca4d8d, 0x4fb6a510, 0x4fa2f981, 0x4f8f4ae0,
-  0x4f7b992d, 0x4f67e46a,
-  0x4f542c98, 0x4f4071b6, 0x4f2cb3c7, 0x4f18f2c9, 0x4f052ec0, 0x4ef167aa,
-  0x4edd9d89, 0x4ec9d05e,
-  0x4eb60029, 0x4ea22ceb, 0x4e8e56a5, 0x4e7a7d58, 0x4e66a105, 0x4e52c1ab,
-  0x4e3edf4d, 0x4e2af9ea,
-  0x4e171184, 0x4e03261b, 0x4def37b0, 0x4ddb4644, 0x4dc751d8, 0x4db35a6c,
-  0x4d9f6001, 0x4d8b6298,
-  0x4d776231, 0x4d635ece, 0x4d4f5870, 0x4d3b4f16, 0x4d2742c2, 0x4d133374,
-  0x4cff212e, 0x4ceb0bf0,
-  0x4cd6f3bb, 0x4cc2d88f, 0x4caeba6e, 0x4c9a9958, 0x4c86754e, 0x4c724e50,
-  0x4c5e2460, 0x4c49f77f,
-  0x4c35c7ac, 0x4c2194e9, 0x4c0d5f37, 0x4bf92697, 0x4be4eb08, 0x4bd0ac8d,
-  0x4bbc6b25, 0x4ba826d1,
-  0x4b93df93, 0x4b7f956b, 0x4b6b485a, 0x4b56f861, 0x4b42a580, 0x4b2e4fb8,
-  0x4b19f70a, 0x4b059b77,
-  0x4af13d00, 0x4adcdba5, 0x4ac87767, 0x4ab41046, 0x4a9fa645, 0x4a8b3963,
-  0x4a76c9a2, 0x4a625701,
-  0x4a4de182, 0x4a396926, 0x4a24edee, 0x4a106fda, 0x49fbeeea, 0x49e76b21,
-  0x49d2e47e, 0x49be5b02,
-  0x49a9ceaf, 0x49953f84, 0x4980ad84, 0x496c18ae, 0x49578103, 0x4942e684,
-  0x492e4933, 0x4919a90f,
-  0x4905061a, 0x48f06054, 0x48dbb7be, 0x48c70c59, 0x48b25e25, 0x489dad25,
-  0x4888f957, 0x487442be,
-  0x485f8959, 0x484acd2a, 0x48360e32, 0x48214c71, 0x480c87e8, 0x47f7c099,
-  0x47e2f682, 0x47ce29a7,
-  0x47b95a06, 0x47a487a2, 0x478fb27b, 0x477ada91, 0x4765ffe6, 0x4751227a,
-  0x473c424e, 0x47275f63,
-  0x471279ba, 0x46fd9154, 0x46e8a631, 0x46d3b852, 0x46bec7b8, 0x46a9d464,
-  0x4694de56, 0x467fe590,
-  0x466aea12, 0x4655ebdd, 0x4640eaf2, 0x462be751, 0x4616e0fc, 0x4601d7f3,
-  0x45eccc37, 0x45d7bdc9,
-  0x45c2acaa, 0x45ad98da, 0x4598825a, 0x4583692c, 0x456e4d4f, 0x45592ec6,
-  0x45440d90, 0x452ee9ae,
-  0x4519c321, 0x450499eb, 0x44ef6e0b, 0x44da3f83, 0x44c50e53, 0x44afda7d,
-  0x449aa400, 0x44856adf,
-  0x44702f19, 0x445af0b0, 0x4445afa4, 0x44306bf6, 0x441b25a8, 0x4405dcb9,
-  0x43f0912b, 0x43db42fe,
-  0x43c5f234, 0x43b09ecc, 0x439b48c9, 0x4385f02a, 0x437094f1, 0x435b371f,
-  0x4345d6b3, 0x433073b0,
-  0x431b0e15, 0x4305a5e5, 0x42f03b1e, 0x42dacdc3, 0x42c55dd4, 0x42afeb53,
-  0x429a763f, 0x4284fe99,
-  0x426f8463, 0x425a079e, 0x42448849, 0x422f0667, 0x421981f7, 0x4203fafb,
-  0x41ee7174, 0x41d8e561,
-  0x41c356c5, 0x41adc5a0, 0x419831f3, 0x41829bbe, 0x416d0302, 0x415767c1,
-  0x4141c9fb, 0x412c29b1,
-  0x411686e4, 0x4100e194, 0x40eb39c3, 0x40d58f71, 0x40bfe29f, 0x40aa334e,
-  0x4094817f, 0x407ecd32,
-  0x40691669, 0x40535d24, 0x403da165, 0x4027e32b, 0x40122278, 0x3ffc5f4d,
-  0x3fe699aa, 0x3fd0d191,
-  0x3fbb0702, 0x3fa539fd, 0x3f8f6a85, 0x3f799899, 0x3f63c43b, 0x3f4ded6b,
-  0x3f38142a, 0x3f22387a,
-  0x3f0c5a5a, 0x3ef679cc, 0x3ee096d1, 0x3ecab169, 0x3eb4c995, 0x3e9edf57,
-  0x3e88f2ae, 0x3e73039d,
-  0x3e5d1222, 0x3e471e41, 0x3e3127f9, 0x3e1b2f4a, 0x3e053437, 0x3def36c0,
-  0x3dd936e6, 0x3dc334a9,
-  0x3dad300b, 0x3d97290b, 0x3d811fac, 0x3d6b13ee, 0x3d5505d2, 0x3d3ef559,
-  0x3d28e282, 0x3d12cd51,
-  0x3cfcb5c4, 0x3ce69bde, 0x3cd07f9f, 0x3cba6107, 0x3ca44018, 0x3c8e1cd3,
-  0x3c77f737, 0x3c61cf48,
-  0x3c4ba504, 0x3c35786d, 0x3c1f4983, 0x3c091849, 0x3bf2e4be, 0x3bdcaee3,
-  0x3bc676b9, 0x3bb03c42,
-  0x3b99ff7d, 0x3b83c06c, 0x3b6d7f10, 0x3b573b69, 0x3b40f579, 0x3b2aad3f,
-  0x3b1462be, 0x3afe15f6,
-  0x3ae7c6e7, 0x3ad17593, 0x3abb21fb, 0x3aa4cc1e, 0x3a8e7400, 0x3a78199f,
-  0x3a61bcfd, 0x3a4b5e1b,
-  0x3a34fcf9, 0x3a1e9999, 0x3a0833fc, 0x39f1cc21, 0x39db620b, 0x39c4f5ba,
-  0x39ae872f, 0x3998166a,
-  0x3981a36d, 0x396b2e38, 0x3954b6cd, 0x393e3d2c, 0x3927c155, 0x3911434b,
-  0x38fac30e, 0x38e4409e,
-  0x38cdbbfc, 0x38b7352a, 0x38a0ac29, 0x388a20f8, 0x38739399, 0x385d040d,
-  0x38467255, 0x382fde72,
-  0x38194864, 0x3802b02c, 0x37ec15cb, 0x37d57943, 0x37beda93, 0x37a839be,
-  0x379196c3, 0x377af1a3,
-  0x37644a60, 0x374da0fa, 0x3736f573, 0x372047ca, 0x37099802, 0x36f2e61a,
-  0x36dc3214, 0x36c57bf0,
-  0x36aec3b0, 0x36980954, 0x36814cde, 0x366a8e4d, 0x3653cda3, 0x363d0ae2,
-  0x36264609, 0x360f7f19,
-  0x35f8b614, 0x35e1eafa, 0x35cb1dcc, 0x35b44e8c, 0x359d7d39, 0x3586a9d5,
-  0x356fd461, 0x3558fcde,
-  0x3542234c, 0x352b47ad, 0x35146a00, 0x34fd8a48, 0x34e6a885, 0x34cfc4b7,
-  0x34b8dee1, 0x34a1f702,
-  0x348b0d1c, 0x3474212f, 0x345d333c, 0x34464345, 0x342f5149, 0x34185d4b,
-  0x3401674a, 0x33ea6f48,
-  0x33d37546, 0x33bc7944, 0x33a57b44, 0x338e7b46, 0x3377794b, 0x33607554,
-  0x33496f62, 0x33326776,
-  0x331b5d91, 0x330451b3, 0x32ed43de, 0x32d63412, 0x32bf2250, 0x32a80e99,
-  0x3290f8ef, 0x3279e151,
-  0x3262c7c1, 0x324bac40, 0x32348ecf, 0x321d6f6e, 0x32064e1e, 0x31ef2ae1,
-  0x31d805b7, 0x31c0dea1,
-  0x31a9b5a0, 0x31928ab4, 0x317b5de0, 0x31642f23, 0x314cfe7f, 0x3135cbf4,
-  0x311e9783, 0x3107612e,
-  0x30f028f4, 0x30d8eed8, 0x30c1b2da, 0x30aa74fa, 0x3093353a, 0x307bf39b,
-  0x3064b01d, 0x304d6ac1,
-  0x30362389, 0x301eda75, 0x30078f86, 0x2ff042bd, 0x2fd8f41b, 0x2fc1a3a0,
-  0x2faa514f, 0x2f92fd26,
-  0x2f7ba729, 0x2f644f56, 0x2f4cf5b0, 0x2f359a37, 0x2f1e3ced, 0x2f06ddd1,
-  0x2eef7ce5, 0x2ed81a29,
-  0x2ec0b5a0, 0x2ea94f49, 0x2e91e725, 0x2e7a7d36, 0x2e63117c, 0x2e4ba3f8,
-  0x2e3434ac, 0x2e1cc397,
-  0x2e0550bb, 0x2deddc19, 0x2dd665b2, 0x2dbeed86, 0x2da77397, 0x2d8ff7e5,
-  0x2d787a72, 0x2d60fb3e,
-  0x2d497a4a, 0x2d31f797, 0x2d1a7325, 0x2d02ecf7, 0x2ceb650d, 0x2cd3db67,
-  0x2cbc5006, 0x2ca4c2ed,
-  0x2c8d341a, 0x2c75a390, 0x2c5e114f, 0x2c467d58, 0x2c2ee7ad, 0x2c17504d,
-  0x2bffb73a, 0x2be81c74,
-  0x2bd07ffe, 0x2bb8e1d7, 0x2ba14200, 0x2b89a07b, 0x2b71fd48, 0x2b5a5868,
-  0x2b42b1dd, 0x2b2b09a6,
-  0x2b135fc6, 0x2afbb43c, 0x2ae4070a, 0x2acc5831, 0x2ab4a7b1, 0x2a9cf58c,
-  0x2a8541c3, 0x2a6d8c55,
-  0x2a55d545, 0x2a3e1c93, 0x2a266240, 0x2a0ea64d, 0x29f6e8bb, 0x29df298b,
-  0x29c768be, 0x29afa654,
-  0x2997e24f, 0x29801caf, 0x29685576, 0x29508ca4, 0x2938c23a, 0x2920f63a,
-  0x290928a3, 0x28f15978,
-  0x28d988b8, 0x28c1b666, 0x28a9e281, 0x28920d0a, 0x287a3604, 0x28625d6d,
-  0x284a8349, 0x2832a796,
-  0x281aca57, 0x2802eb8c, 0x27eb0b36, 0x27d32956, 0x27bb45ed, 0x27a360fc,
-  0x278b7a84, 0x27739285,
-  0x275ba901, 0x2743bdf9, 0x272bd16d, 0x2713e35f, 0x26fbf3ce, 0x26e402bd,
-  0x26cc102d, 0x26b41c1d,
-  0x269c268f, 0x26842f84, 0x266c36fe, 0x26543cfb, 0x263c417f, 0x26244489,
-  0x260c461b, 0x25f44635,
-  0x25dc44d9, 0x25c44207, 0x25ac3dc0, 0x25943806, 0x257c30d8, 0x25642839,
-  0x254c1e28, 0x253412a8,
-  0x251c05b8, 0x2503f75a, 0x24ebe78f, 0x24d3d657, 0x24bbc3b4, 0x24a3afa6,
-  0x248b9a2f, 0x2473834f,
-  0x245b6b07, 0x24435158, 0x242b3644, 0x241319ca, 0x23fafbec, 0x23e2dcac,
-  0x23cabc09, 0x23b29a05,
-  0x239a76a0, 0x238251dd, 0x236a2bba, 0x2352043b, 0x2339db5e, 0x2321b126,
-  0x23098593, 0x22f158a7,
-  0x22d92a61, 0x22c0fac4, 0x22a8c9cf, 0x22909785, 0x227863e5, 0x22602ef1,
-  0x2247f8aa, 0x222fc111,
-  0x22178826, 0x21ff4dea, 0x21e71260, 0x21ced586, 0x21b6975f, 0x219e57eb,
-  0x2186172b, 0x216dd521,
-  0x215591cc, 0x213d4d2f, 0x21250749, 0x210cc01d, 0x20f477aa, 0x20dc2df2,
-  0x20c3e2f5, 0x20ab96b5,
-  0x20934933, 0x207afa6f, 0x2062aa6b, 0x204a5927, 0x203206a4, 0x2019b2e4,
-  0x20015de7, 0x1fe907ae,
-  0x1fd0b03a, 0x1fb8578b, 0x1f9ffda4, 0x1f87a285, 0x1f6f462f, 0x1f56e8a2,
-  0x1f3e89e0, 0x1f2629ea,
-  0x1f0dc8c0, 0x1ef56664, 0x1edd02d6, 0x1ec49e17, 0x1eac3829, 0x1e93d10c,
-  0x1e7b68c2, 0x1e62ff4a,
-  0x1e4a94a7, 0x1e3228d9, 0x1e19bbe0, 0x1e014dbf, 0x1de8de75, 0x1dd06e04,
-  0x1db7fc6d, 0x1d9f89b1,
-  0x1d8715d0, 0x1d6ea0cc, 0x1d562aa6, 0x1d3db35e, 0x1d253af5, 0x1d0cc16c,
-  0x1cf446c5, 0x1cdbcb00,
-  0x1cc34e1f, 0x1caad021, 0x1c925109, 0x1c79d0d6, 0x1c614f8b, 0x1c48cd27,
-  0x1c3049ac, 0x1c17c51b,
-  0x1bff3f75, 0x1be6b8ba, 0x1bce30ec, 0x1bb5a80c, 0x1b9d1e1a, 0x1b849317,
-  0x1b6c0705, 0x1b5379e5,
-  0x1b3aebb6, 0x1b225c7b, 0x1b09cc34, 0x1af13ae3, 0x1ad8a887, 0x1ac01522,
-  0x1aa780b6, 0x1a8eeb42,
-  0x1a7654c8, 0x1a5dbd49, 0x1a4524c6, 0x1a2c8b3f, 0x1a13f0b6, 0x19fb552c,
-  0x19e2b8a2, 0x19ca1b17,
-  0x19b17c8f, 0x1998dd09, 0x19803c86, 0x19679b07, 0x194ef88e, 0x1936551b,
-  0x191db0af, 0x19050b4b,
-  0x18ec64f0, 0x18d3bda0, 0x18bb155a, 0x18a26c20, 0x1889c1f3, 0x187116d4,
-  0x18586ac3, 0x183fbdc3,
-  0x18270fd3, 0x180e60f4, 0x17f5b129, 0x17dd0070, 0x17c44ecd, 0x17ab9c3e,
-  0x1792e8c6, 0x177a3466,
-  0x17617f1d, 0x1748c8ee, 0x173011d9, 0x171759df, 0x16fea102, 0x16e5e741,
-  0x16cd2c9f, 0x16b4711b,
-  0x169bb4b7, 0x1682f774, 0x166a3953, 0x16517a55, 0x1638ba7a, 0x161ff9c4,
-  0x16073834, 0x15ee75cb,
-  0x15d5b288, 0x15bcee6f, 0x15a4297f, 0x158b63b9, 0x15729d1f, 0x1559d5b1,
-  0x15410d70, 0x1528445d,
-  0x150f7a7a, 0x14f6afc7, 0x14dde445, 0x14c517f4, 0x14ac4ad7, 0x14937cee,
-  0x147aae3a, 0x1461debc,
-  0x14490e74, 0x14303d65, 0x14176b8e, 0x13fe98f1, 0x13e5c58e, 0x13ccf167,
-  0x13b41c7d, 0x139b46d0,
-  0x13827062, 0x13699933, 0x1350c144, 0x1337e897, 0x131f0f2c, 0x13063505,
-  0x12ed5a21, 0x12d47e83,
-  0x12bba22b, 0x12a2c51b, 0x1289e752, 0x127108d2, 0x1258299c, 0x123f49b2,
-  0x12266913, 0x120d87c1,
-  0x11f4a5bd, 0x11dbc307, 0x11c2dfa2, 0x11a9fb8d, 0x119116c9, 0x11783159,
-  0x115f4b3c, 0x11466473,
-  0x112d7d00, 0x111494e4, 0x10fbac1e, 0x10e2c2b2, 0x10c9d89e, 0x10b0ede5,
-  0x10980287, 0x107f1686,
-  0x106629e1, 0x104d3c9b, 0x10344eb4, 0x101b602d, 0x10027107, 0xfe98143,
-  0xfd090e1, 0xfb79fe4,
-  0xf9eae4c, 0xf85bc19, 0xf6cc94e, 0xf53d5ea, 0xf3ae1ee, 0xf21ed5d, 0xf08f836,
-  0xef0027b,
-  0xed70c2c, 0xebe154b, 0xea51dd8, 0xe8c25d5, 0xe732d42, 0xe5a3421, 0xe413a72,
-  0xe284036,
-  0xe0f456f, 0xdf64a1c, 0xddd4e40, 0xdc451dc, 0xdab54ef, 0xd92577b, 0xd795982,
-  0xd605b03,
-  0xd475c00, 0xd2e5c7b, 0xd155c73, 0xcfc5bea, 0xce35ae1, 0xcca5959, 0xcb15752,
-  0xc9854cf,
-  0xc7f51cf, 0xc664e53, 0xc4d4a5d, 0xc3445ee, 0xc1b4107, 0xc023ba7, 0xbe935d2,
-  0xbd02f87,
-  0xbb728c7, 0xb9e2193, 0xb8519ed, 0xb6c11d5, 0xb53094d, 0xb3a0055, 0xb20f6ee,
-  0xb07ed19,
-  0xaeee2d7, 0xad5d829, 0xabccd11, 0xaa3c18e, 0xa8ab5a2, 0xa71a94f, 0xa589c94,
-  0xa3f8f73,
-  0xa2681ed, 0xa0d7403, 0x9f465b5, 0x9db5706, 0x9c247f5, 0x9a93884, 0x99028b3,
-  0x9771884,
-  0x95e07f8, 0x944f70f, 0x92be5ca, 0x912d42c, 0x8f9c233, 0x8e0afe2, 0x8c79d3a,
-  0x8ae8a3a,
-  0x89576e5, 0x87c633c, 0x8634f3e, 0x84a3aee, 0x831264c, 0x8181159, 0x7fefc16,
-  0x7e5e685,
-  0x7ccd0a5, 0x7b3ba78, 0x79aa400, 0x7818d3c, 0x768762e, 0x74f5ed7, 0x7364738,
-  0x71d2f52,
-  0x7041726, 0x6eafeb4, 0x6d1e5fe, 0x6b8cd05, 0x69fb3c9, 0x6869a4c, 0x66d808f,
-  0x6546692,
-  0x63b4c57, 0x62231de, 0x6091729, 0x5effc38, 0x5d6e10c, 0x5bdc5a7, 0x5a4aa09,
-  0x58b8e34,
-  0x5727228, 0x55955e6, 0x540396f, 0x5271cc4, 0x50dffe7, 0x4f4e2d8, 0x4dbc597,
-  0x4c2a827,
-  0x4a98a88, 0x4906cbb, 0x4774ec1, 0x45e309a, 0x4451249, 0x42bf3cd, 0x412d528,
-  0x3f9b65b,
-  0x3e09767, 0x3c7784d, 0x3ae590d, 0x39539a9, 0x37c1a22, 0x362fa78, 0x349daac,
-  0x330bac1,
-  0x3179ab5, 0x2fe7a8c, 0x2e55a44, 0x2cc39e1, 0x2b31961, 0x299f8c7, 0x280d813,
-  0x267b747,
-  0x24e9662, 0x2357567, 0x21c5457, 0x2033331, 0x1ea11f7, 0x1d0f0ab, 0x1b7cf4d,
-  0x19eaddd,
-  0x1858c5e, 0x16c6ad0, 0x1534934, 0x13a278a, 0x12105d5, 0x107e414, 0xeec249,
-  0xd5a075,
-  0xbc7e99, 0xa35cb5, 0x8a3acb, 0x7118dc, 0x57f6e9, 0x3ed4f2, 0x25b2f8,
-  0xc90fe,
-
-};
-
-static const q31_t cos_factorsQ31_8192[8192] = {
-  0x7ffffff6, 0x7fffffa7, 0x7fffff09, 0x7ffffe1c, 0x7ffffce1, 0x7ffffb56,
-    0x7ffff97c, 0x7ffff753,
-  0x7ffff4dc, 0x7ffff215, 0x7fffef00, 0x7fffeb9b, 0x7fffe7e8, 0x7fffe3e5,
-    0x7fffdf94, 0x7fffdaf3,
-  0x7fffd604, 0x7fffd0c6, 0x7fffcb39, 0x7fffc55c, 0x7fffbf31, 0x7fffb8b7,
-    0x7fffb1ee, 0x7fffaad6,
-  0x7fffa36f, 0x7fff9bb9, 0x7fff93b4, 0x7fff8b61, 0x7fff82be, 0x7fff79cc,
-    0x7fff708b, 0x7fff66fc,
-  0x7fff5d1d, 0x7fff52ef, 0x7fff4873, 0x7fff3da8, 0x7fff328d, 0x7fff2724,
-    0x7fff1b6b, 0x7fff0f64,
-  0x7fff030e, 0x7ffef669, 0x7ffee975, 0x7ffedc31, 0x7ffece9f, 0x7ffec0be,
-    0x7ffeb28e, 0x7ffea40f,
-  0x7ffe9542, 0x7ffe8625, 0x7ffe76b9, 0x7ffe66fe, 0x7ffe56f5, 0x7ffe469c,
-    0x7ffe35f4, 0x7ffe24fe,
-  0x7ffe13b8, 0x7ffe0224, 0x7ffdf040, 0x7ffdde0e, 0x7ffdcb8d, 0x7ffdb8bc,
-    0x7ffda59d, 0x7ffd922f,
-  0x7ffd7e72, 0x7ffd6a66, 0x7ffd560b, 0x7ffd4161, 0x7ffd2c68, 0x7ffd1720,
-    0x7ffd0189, 0x7ffceba4,
-  0x7ffcd56f, 0x7ffcbeeb, 0x7ffca819, 0x7ffc90f7, 0x7ffc7987, 0x7ffc61c7,
-    0x7ffc49b9, 0x7ffc315b,
-  0x7ffc18af, 0x7ffbffb4, 0x7ffbe66a, 0x7ffbccd0, 0x7ffbb2e8, 0x7ffb98b1,
-    0x7ffb7e2b, 0x7ffb6356,
-  0x7ffb4833, 0x7ffb2cc0, 0x7ffb10fe, 0x7ffaf4ed, 0x7ffad88e, 0x7ffabbdf,
-    0x7ffa9ee2, 0x7ffa8195,
-  0x7ffa63fa, 0x7ffa460f, 0x7ffa27d6, 0x7ffa094e, 0x7ff9ea76, 0x7ff9cb50,
-    0x7ff9abdb, 0x7ff98c17,
-  0x7ff96c04, 0x7ff94ba2, 0x7ff92af1, 0x7ff909f2, 0x7ff8e8a3, 0x7ff8c705,
-    0x7ff8a519, 0x7ff882dd,
-  0x7ff86053, 0x7ff83d79, 0x7ff81a51, 0x7ff7f6da, 0x7ff7d313, 0x7ff7aefe,
-    0x7ff78a9a, 0x7ff765e7,
-  0x7ff740e5, 0x7ff71b94, 0x7ff6f5f4, 0x7ff6d005, 0x7ff6a9c8, 0x7ff6833b,
-    0x7ff65c5f, 0x7ff63535,
-  0x7ff60dbb, 0x7ff5e5f3, 0x7ff5bddc, 0x7ff59576, 0x7ff56cc0, 0x7ff543bc,
-    0x7ff51a69, 0x7ff4f0c7,
-  0x7ff4c6d6, 0x7ff49c96, 0x7ff47208, 0x7ff4472a, 0x7ff41bfd, 0x7ff3f082,
-    0x7ff3c4b7, 0x7ff3989e,
-  0x7ff36c36, 0x7ff33f7e, 0x7ff31278, 0x7ff2e523, 0x7ff2b77f, 0x7ff2898c,
-    0x7ff25b4a, 0x7ff22cb9,
-  0x7ff1fdd9, 0x7ff1ceab, 0x7ff19f2d, 0x7ff16f61, 0x7ff13f45, 0x7ff10edb,
-    0x7ff0de22, 0x7ff0ad19,
-  0x7ff07bc2, 0x7ff04a1c, 0x7ff01827, 0x7fefe5e4, 0x7fefb351, 0x7fef806f,
-    0x7fef4d3e, 0x7fef19bf,
-  0x7feee5f0, 0x7feeb1d3, 0x7fee7d67, 0x7fee48ac, 0x7fee13a1, 0x7fedde48,
-    0x7feda8a0, 0x7fed72aa,
-  0x7fed3c64, 0x7fed05cf, 0x7fecceec, 0x7fec97b9, 0x7fec6038, 0x7fec2867,
-    0x7febf048, 0x7febb7da,
-  0x7feb7f1d, 0x7feb4611, 0x7feb0cb6, 0x7fead30c, 0x7fea9914, 0x7fea5ecc,
-    0x7fea2436, 0x7fe9e950,
-  0x7fe9ae1c, 0x7fe97299, 0x7fe936c7, 0x7fe8faa6, 0x7fe8be36, 0x7fe88177,
-    0x7fe84469, 0x7fe8070d,
-  0x7fe7c961, 0x7fe78b67, 0x7fe74d1e, 0x7fe70e85, 0x7fe6cf9e, 0x7fe69068,
-    0x7fe650e3, 0x7fe61110,
-  0x7fe5d0ed, 0x7fe5907b, 0x7fe54fbb, 0x7fe50eac, 0x7fe4cd4d, 0x7fe48ba0,
-    0x7fe449a4, 0x7fe40759,
-  0x7fe3c4bf, 0x7fe381d7, 0x7fe33e9f, 0x7fe2fb19, 0x7fe2b743, 0x7fe2731f,
-    0x7fe22eac, 0x7fe1e9ea,
-  0x7fe1a4d9, 0x7fe15f79, 0x7fe119cb, 0x7fe0d3cd, 0x7fe08d81, 0x7fe046e5,
-    0x7fdffffb, 0x7fdfb8c2,
-  0x7fdf713a, 0x7fdf2963, 0x7fdee13e, 0x7fde98c9, 0x7fde5006, 0x7fde06f3,
-    0x7fddbd92, 0x7fdd73e2,
-  0x7fdd29e3, 0x7fdcdf95, 0x7fdc94f9, 0x7fdc4a0d, 0x7fdbfed3, 0x7fdbb349,
-    0x7fdb6771, 0x7fdb1b4a,
-  0x7fdaced4, 0x7fda820f, 0x7fda34fc, 0x7fd9e799, 0x7fd999e8, 0x7fd94be8,
-    0x7fd8fd98, 0x7fd8aefa,
-  0x7fd8600e, 0x7fd810d2, 0x7fd7c147, 0x7fd7716e, 0x7fd72146, 0x7fd6d0cf,
-    0x7fd68009, 0x7fd62ef4,
-  0x7fd5dd90, 0x7fd58bdd, 0x7fd539dc, 0x7fd4e78c, 0x7fd494ed, 0x7fd441ff,
-    0x7fd3eec2, 0x7fd39b36,
-  0x7fd3475c, 0x7fd2f332, 0x7fd29eba, 0x7fd249f3, 0x7fd1f4dd, 0x7fd19f78,
-    0x7fd149c5, 0x7fd0f3c2,
-  0x7fd09d71, 0x7fd046d1, 0x7fcfefe2, 0x7fcf98a4, 0x7fcf4117, 0x7fcee93c,
-    0x7fce9112, 0x7fce3898,
-  0x7fcddfd0, 0x7fcd86b9, 0x7fcd2d54, 0x7fccd39f, 0x7fcc799c, 0x7fcc1f4a,
-    0x7fcbc4a9, 0x7fcb69b9,
-  0x7fcb0e7a, 0x7fcab2ed, 0x7fca5710, 0x7fc9fae5, 0x7fc99e6b, 0x7fc941a2,
-    0x7fc8e48b, 0x7fc88724,
-  0x7fc8296f, 0x7fc7cb6b, 0x7fc76d18, 0x7fc70e76, 0x7fc6af86, 0x7fc65046,
-    0x7fc5f0b8, 0x7fc590db,
-  0x7fc530af, 0x7fc4d035, 0x7fc46f6b, 0x7fc40e53, 0x7fc3acec, 0x7fc34b36,
-    0x7fc2e931, 0x7fc286de,
-  0x7fc2243b, 0x7fc1c14a, 0x7fc15e0a, 0x7fc0fa7b, 0x7fc0969e, 0x7fc03271,
-    0x7fbfcdf6, 0x7fbf692c,
-  0x7fbf0414, 0x7fbe9eac, 0x7fbe38f6, 0x7fbdd2f0, 0x7fbd6c9c, 0x7fbd05fa,
-    0x7fbc9f08, 0x7fbc37c8,
-  0x7fbbd039, 0x7fbb685b, 0x7fbb002e, 0x7fba97b2, 0x7fba2ee8, 0x7fb9c5cf,
-    0x7fb95c67, 0x7fb8f2b0,
-  0x7fb888ab, 0x7fb81e57, 0x7fb7b3b4, 0x7fb748c2, 0x7fb6dd81, 0x7fb671f2,
-    0x7fb60614, 0x7fb599e7,
-  0x7fb52d6b, 0x7fb4c0a1, 0x7fb45387, 0x7fb3e61f, 0x7fb37869, 0x7fb30a63,
-    0x7fb29c0f, 0x7fb22d6c,
-  0x7fb1be7a, 0x7fb14f39, 0x7fb0dfaa, 0x7fb06fcb, 0x7fafff9e, 0x7faf8f23,
-    0x7faf1e58, 0x7faead3f,
-  0x7fae3bd7, 0x7fadca20, 0x7fad581b, 0x7face5c6, 0x7fac7323, 0x7fac0031,
-    0x7fab8cf1, 0x7fab1962,
-  0x7faaa584, 0x7faa3157, 0x7fa9bcdb, 0x7fa94811, 0x7fa8d2f8, 0x7fa85d90,
-    0x7fa7e7d9, 0x7fa771d4,
-  0x7fa6fb80, 0x7fa684dd, 0x7fa60dec, 0x7fa596ac, 0x7fa51f1d, 0x7fa4a73f,
-    0x7fa42f12, 0x7fa3b697,
-  0x7fa33dcd, 0x7fa2c4b5, 0x7fa24b4d, 0x7fa1d197, 0x7fa15792, 0x7fa0dd3f,
-    0x7fa0629c, 0x7f9fe7ab,
-  0x7f9f6c6b, 0x7f9ef0dd, 0x7f9e7500, 0x7f9df8d4, 0x7f9d7c59, 0x7f9cff90,
-    0x7f9c8278, 0x7f9c0511,
-  0x7f9b875b, 0x7f9b0957, 0x7f9a8b04, 0x7f9a0c62, 0x7f998d72, 0x7f990e33,
-    0x7f988ea5, 0x7f980ec8,
-  0x7f978e9d, 0x7f970e23, 0x7f968d5b, 0x7f960c43, 0x7f958add, 0x7f950929,
-    0x7f948725, 0x7f9404d3,
-  0x7f938232, 0x7f92ff43, 0x7f927c04, 0x7f91f878, 0x7f91749c, 0x7f90f072,
-    0x7f906bf9, 0x7f8fe731,
-  0x7f8f621b, 0x7f8edcb6, 0x7f8e5702, 0x7f8dd0ff, 0x7f8d4aae, 0x7f8cc40f,
-    0x7f8c3d20, 0x7f8bb5e3,
-  0x7f8b2e57, 0x7f8aa67d, 0x7f8a1e54, 0x7f8995dc, 0x7f890d15, 0x7f888400,
-    0x7f87fa9c, 0x7f8770ea,
-  0x7f86e6e9, 0x7f865c99, 0x7f85d1fa, 0x7f85470d, 0x7f84bbd1, 0x7f843047,
-    0x7f83a46e, 0x7f831846,
-  0x7f828bcf, 0x7f81ff0a, 0x7f8171f6, 0x7f80e494, 0x7f8056e3, 0x7f7fc8e3,
-    0x7f7f3a95, 0x7f7eabf8,
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-    0x7c2c45d8, 0x7c2abf4f,
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-  0x7c1cf70c, 0x7c1b6d86, 0x7c19e3b3, 0x7c185994, 0x7c16cf28, 0x7c15446f,
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-  0x7c10a27b, 0x7c0f1690, 0x7c0d8a59, 0x7c0bfdd5, 0x7c0a7105, 0x7c08e3e8,
-    0x7c07567f, 0x7c05c8c9,
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-    0x7bfae073, 0x7bf9505a,
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-    0x7bee5749, 0x7becc4cc,
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-    0x7be1bb02, 0x7be02621,
-  0x7bde90f4, 0x7bdcfb7b, 0x7bdb65b5, 0x7bd9cfa2, 0x7bd83944, 0x7bd6a298,
-    0x7bd50ba1, 0x7bd3745d,
-  0x7bd1dccc, 0x7bd044f0, 0x7bceacc7, 0x7bcd1451, 0x7bcb7b8f, 0x7bc9e281,
-    0x7bc84927, 0x7bc6af80,
-  0x7bc5158c, 0x7bc37b4d, 0x7bc1e0c1, 0x7bc045e9, 0x7bbeaac4, 0x7bbd0f53,
-    0x7bbb7396, 0x7bb9d78c,
-  0x7bb83b36, 0x7bb69e94, 0x7bb501a5, 0x7bb3646a, 0x7bb1c6e3, 0x7bb02910,
-    0x7bae8af0, 0x7bacec84,
-  0x7bab4dcc, 0x7ba9aec7, 0x7ba80f76, 0x7ba66fd9, 0x7ba4cfef, 0x7ba32fba,
-    0x7ba18f38, 0x7b9fee69,
-  0x7b9e4d4f, 0x7b9cabe8, 0x7b9b0a35, 0x7b996836, 0x7b97c5ea, 0x7b962352,
-    0x7b94806e, 0x7b92dd3e,
-  0x7b9139c2, 0x7b8f95f9, 0x7b8df1e4, 0x7b8c4d83, 0x7b8aa8d6, 0x7b8903dc,
-    0x7b875e96, 0x7b85b904,
-  0x7b841326, 0x7b826cfc, 0x7b80c686, 0x7b7f1fc3, 0x7b7d78b4, 0x7b7bd159,
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-  0x7b76d97f, 0x7b7530f3, 0x7b73881b, 0x7b71def7, 0x7b703587, 0x7b6e8bcb,
-    0x7b6ce1c2, 0x7b6b376e,
-  0x7b698ccd, 0x7b67e1e0, 0x7b6636a7, 0x7b648b22, 0x7b62df51, 0x7b613334,
-    0x7b5f86ca, 0x7b5dda15,
-  0x7b5c2d13, 0x7b5a7fc6, 0x7b58d22c, 0x7b572446, 0x7b557614, 0x7b53c796,
-    0x7b5218cc, 0x7b5069b6,
-  0x7b4eba53, 0x7b4d0aa5, 0x7b4b5aab, 0x7b49aa64, 0x7b47f9d2, 0x7b4648f3,
-    0x7b4497c9, 0x7b42e652,
-  0x7b413490, 0x7b3f8281, 0x7b3dd026, 0x7b3c1d80, 0x7b3a6a8d, 0x7b38b74e,
-    0x7b3703c3, 0x7b354fed,
-  0x7b339bca, 0x7b31e75b, 0x7b3032a0, 0x7b2e7d9a, 0x7b2cc847, 0x7b2b12a8,
-    0x7b295cbe, 0x7b27a687,
-  0x7b25f004, 0x7b243936, 0x7b22821b, 0x7b20cab5, 0x7b1f1302, 0x7b1d5b04,
-    0x7b1ba2b9, 0x7b19ea23,
-  0x7b183141, 0x7b167813, 0x7b14be99, 0x7b1304d3, 0x7b114ac1, 0x7b0f9063,
-    0x7b0dd5b9, 0x7b0c1ac4,
-  0x7b0a5f82, 0x7b08a3f5, 0x7b06e81b, 0x7b052bf6, 0x7b036f85, 0x7b01b2c8,
-    0x7afff5bf, 0x7afe386a,
-  0x7afc7aca, 0x7afabcdd, 0x7af8fea5, 0x7af74021, 0x7af58151, 0x7af3c235,
-    0x7af202cd, 0x7af0431a,
-  0x7aee831a, 0x7aecc2cf, 0x7aeb0238, 0x7ae94155, 0x7ae78026, 0x7ae5beac,
-    0x7ae3fce6, 0x7ae23ad4,
-  0x7ae07876, 0x7adeb5cc, 0x7adcf2d6, 0x7adb2f95, 0x7ad96c08, 0x7ad7a82f,
-    0x7ad5e40a, 0x7ad41f9a,
-  0x7ad25ade, 0x7ad095d6, 0x7aced082, 0x7acd0ae3, 0x7acb44f8, 0x7ac97ec1,
-    0x7ac7b83e, 0x7ac5f170,
-  0x7ac42a55, 0x7ac262ef, 0x7ac09b3e, 0x7abed341, 0x7abd0af7, 0x7abb4263,
-    0x7ab97982, 0x7ab7b056,
-  0x7ab5e6de, 0x7ab41d1b, 0x7ab2530b, 0x7ab088b0, 0x7aaebe0a, 0x7aacf318,
-    0x7aab27da, 0x7aa95c50,
-  0x7aa7907b, 0x7aa5c45a, 0x7aa3f7ed, 0x7aa22b35, 0x7aa05e31, 0x7a9e90e1,
-    0x7a9cc346, 0x7a9af55f,
-  0x7a99272d, 0x7a9758af, 0x7a9589e5, 0x7a93bad0, 0x7a91eb6f, 0x7a901bc2,
-    0x7a8e4bca, 0x7a8c7b87,
-  0x7a8aaaf7, 0x7a88da1c, 0x7a8708f6, 0x7a853784, 0x7a8365c6, 0x7a8193bd,
-    0x7a7fc168, 0x7a7deec8,
-  0x7a7c1bdc, 0x7a7a48a4, 0x7a787521, 0x7a76a153, 0x7a74cd38, 0x7a72f8d3,
-    0x7a712422, 0x7a6f4f25,
-  0x7a6d79dd, 0x7a6ba449, 0x7a69ce6a, 0x7a67f83f, 0x7a6621c9, 0x7a644b07,
-    0x7a6273fa, 0x7a609ca1,
-  0x7a5ec4fc, 0x7a5ced0d, 0x7a5b14d1, 0x7a593c4b, 0x7a576379, 0x7a558a5b,
-    0x7a53b0f2, 0x7a51d73d,
-  0x7a4ffd3d, 0x7a4e22f2, 0x7a4c485b, 0x7a4a6d78, 0x7a48924b, 0x7a46b6d1,
-    0x7a44db0d, 0x7a42fefd,
-  0x7a4122a1, 0x7a3f45fa, 0x7a3d6908, 0x7a3b8bca, 0x7a39ae41, 0x7a37d06d,
-    0x7a35f24d, 0x7a3413e2,
-  0x7a32352b, 0x7a305629, 0x7a2e76dc, 0x7a2c9743, 0x7a2ab75f, 0x7a28d72f,
-    0x7a26f6b4, 0x7a2515ee,
-  0x7a2334dd, 0x7a215380, 0x7a1f71d7, 0x7a1d8fe4, 0x7a1bada5, 0x7a19cb1b,
-    0x7a17e845, 0x7a160524,
-  0x7a1421b8, 0x7a123e01, 0x7a1059fe, 0x7a0e75b0, 0x7a0c9117, 0x7a0aac32,
-    0x7a08c702, 0x7a06e187,
-  0x7a04fbc1, 0x7a0315af, 0x7a012f52, 0x79ff48aa, 0x79fd61b6, 0x79fb7a77,
-    0x79f992ed, 0x79f7ab18,
-  0x79f5c2f8, 0x79f3da8c, 0x79f1f1d5, 0x79f008d3, 0x79ee1f86, 0x79ec35ed,
-    0x79ea4c09, 0x79e861da,
-  0x79e67760, 0x79e48c9b, 0x79e2a18a, 0x79e0b62e, 0x79deca87, 0x79dcde95,
-    0x79daf258, 0x79d905d0,
-  0x79d718fc, 0x79d52bdd, 0x79d33e73, 0x79d150be, 0x79cf62be, 0x79cd7473,
-    0x79cb85dc, 0x79c996fb,
-  0x79c7a7ce, 0x79c5b856, 0x79c3c893, 0x79c1d885, 0x79bfe82c, 0x79bdf788,
-    0x79bc0698, 0x79ba155e,
-  0x79b823d8, 0x79b63207, 0x79b43fec, 0x79b24d85, 0x79b05ad3, 0x79ae67d6,
-    0x79ac748e, 0x79aa80fb,
-  0x79a88d1d, 0x79a698f4, 0x79a4a480, 0x79a2afc1, 0x79a0bab6, 0x799ec561,
-    0x799ccfc1, 0x799ad9d5,
-  0x7998e39f, 0x7996ed1e, 0x7994f651, 0x7992ff3a, 0x799107d8, 0x798f102a,
-    0x798d1832, 0x798b1fef,
-  0x79892761, 0x79872e87, 0x79853563, 0x79833bf4, 0x7981423a, 0x797f4835,
-    0x797d4de5, 0x797b534a,
-  0x79795864, 0x79775d33, 0x797561b8, 0x797365f1, 0x797169df, 0x796f6d83,
-    0x796d70dc, 0x796b73e9,
-  0x796976ac, 0x79677924, 0x79657b51, 0x79637d33, 0x79617eca, 0x795f8017,
-    0x795d8118, 0x795b81cf,
-  0x7959823b, 0x7957825c, 0x79558232, 0x795381bd, 0x795180fe, 0x794f7ff3,
-    0x794d7e9e, 0x794b7cfe,
-  0x79497b13, 0x794778dd, 0x7945765d, 0x79437391, 0x7941707b, 0x793f6d1a,
-    0x793d696f, 0x793b6578,
-  0x79396137, 0x79375cab, 0x793557d4, 0x793352b2, 0x79314d46, 0x792f478f,
-    0x792d418d, 0x792b3b40,
-  0x792934a9, 0x79272dc7, 0x7925269a, 0x79231f22, 0x79211760, 0x791f0f53,
-    0x791d06fb, 0x791afe59,
-  0x7918f56c, 0x7916ec34, 0x7914e2b2, 0x7912d8e4, 0x7910cecc, 0x790ec46a,
-    0x790cb9bd, 0x790aaec5,
-  0x7908a382, 0x790697f5, 0x79048c1d, 0x79027ffa, 0x7900738d, 0x78fe66d5,
-    0x78fc59d3, 0x78fa4c86,
-  0x78f83eee, 0x78f6310c, 0x78f422df, 0x78f21467, 0x78f005a5, 0x78edf698,
-    0x78ebe741, 0x78e9d79f,
-  0x78e7c7b2, 0x78e5b77b, 0x78e3a6f9, 0x78e1962d, 0x78df8516, 0x78dd73b5,
-    0x78db6209, 0x78d95012,
-  0x78d73dd1, 0x78d52b46, 0x78d31870, 0x78d1054f, 0x78cef1e4, 0x78ccde2e,
-    0x78caca2e, 0x78c8b5e3,
-  0x78c6a14e, 0x78c48c6e, 0x78c27744, 0x78c061cf, 0x78be4c10, 0x78bc3606,
-    0x78ba1fb2, 0x78b80913,
-  0x78b5f22a, 0x78b3daf7, 0x78b1c379, 0x78afabb0, 0x78ad939d, 0x78ab7b40,
-    0x78a96298, 0x78a749a6,
-  0x78a53069, 0x78a316e2, 0x78a0fd11, 0x789ee2f5, 0x789cc88f, 0x789aadde,
-    0x789892e3, 0x7896779d,
-  0x78945c0d, 0x78924033, 0x7890240e, 0x788e07a0, 0x788beae6, 0x7889cde2,
-    0x7887b094, 0x788592fc,
-  0x78837519, 0x788156ec, 0x787f3875, 0x787d19b3, 0x787afaa7, 0x7878db50,
-    0x7876bbb0, 0x78749bc5,
-  0x78727b8f, 0x78705b10, 0x786e3a46, 0x786c1932, 0x7869f7d3, 0x7867d62a,
-    0x7865b437, 0x786391fa,
-  0x78616f72, 0x785f4ca1, 0x785d2984, 0x785b061e, 0x7858e26e, 0x7856be73,
-    0x78549a2e, 0x7852759e,
-  0x785050c5, 0x784e2ba1, 0x784c0633, 0x7849e07b, 0x7847ba79, 0x7845942c,
-    0x78436d96, 0x784146b5,
-  0x783f1f8a, 0x783cf815, 0x783ad055, 0x7838a84c, 0x78367ff8, 0x7834575a,
-    0x78322e72, 0x78300540,
-  0x782ddbc4, 0x782bb1fd, 0x782987ed, 0x78275d92, 0x782532ed, 0x782307fe,
-    0x7820dcc5, 0x781eb142,
-  0x781c8575, 0x781a595d, 0x78182cfc, 0x78160051, 0x7813d35b, 0x7811a61b,
-    0x780f7892, 0x780d4abe,
-  0x780b1ca0, 0x7808ee38, 0x7806bf86, 0x7804908a, 0x78026145, 0x780031b5,
-    0x77fe01db, 0x77fbd1b6,
-  0x77f9a148, 0x77f77090, 0x77f53f8e, 0x77f30e42, 0x77f0dcac, 0x77eeaacc,
-    0x77ec78a2, 0x77ea462e,
-  0x77e81370, 0x77e5e068, 0x77e3ad17, 0x77e1797b, 0x77df4595, 0x77dd1165,
-    0x77dadcec, 0x77d8a828,
-  0x77d6731a, 0x77d43dc3, 0x77d20822, 0x77cfd236, 0x77cd9c01, 0x77cb6582,
-    0x77c92eb9, 0x77c6f7a6,
-  0x77c4c04a, 0x77c288a3, 0x77c050b2, 0x77be1878, 0x77bbdff4, 0x77b9a726,
-    0x77b76e0e, 0x77b534ac,
-  0x77b2fb00, 0x77b0c10b, 0x77ae86cc, 0x77ac4c43, 0x77aa1170, 0x77a7d653,
-    0x77a59aec, 0x77a35f3c,
-  0x77a12342, 0x779ee6fe, 0x779caa70, 0x779a6d99, 0x77983077, 0x7795f30c,
-    0x7793b557, 0x77917759,
-  0x778f3910, 0x778cfa7e, 0x778abba2, 0x77887c7d, 0x77863d0d, 0x7783fd54,
-    0x7781bd52, 0x777f7d05,
-  0x777d3c6f, 0x777afb8f, 0x7778ba65, 0x777678f2, 0x77743735, 0x7771f52e,
-    0x776fb2de, 0x776d7044,
-  0x776b2d60, 0x7768ea33, 0x7766a6bc, 0x776462fb, 0x77621ef1, 0x775fda9d,
-    0x775d95ff, 0x775b5118,
-  0x77590be7, 0x7756c66c, 0x775480a8, 0x77523a9b, 0x774ff443, 0x774dada2,
-    0x774b66b8, 0x77491f84,
-  0x7746d806, 0x7744903f, 0x7742482e, 0x773fffd4, 0x773db730, 0x773b6e42,
-    0x7739250b, 0x7736db8b,
-  0x773491c0, 0x773247ad, 0x772ffd50, 0x772db2a9, 0x772b67b9, 0x77291c7f,
-    0x7726d0fc, 0x7724852f,
-  0x77223919, 0x771fecb9, 0x771da010, 0x771b531d, 0x771905e1, 0x7716b85b,
-    0x77146a8c, 0x77121c74,
-  0x770fce12, 0x770d7f66, 0x770b3072, 0x7708e133, 0x770691ab, 0x770441da,
-    0x7701f1c0, 0x76ffa15c,
-  0x76fd50ae, 0x76faffb8, 0x76f8ae78, 0x76f65cee, 0x76f40b1b, 0x76f1b8ff,
-    0x76ef6699, 0x76ed13ea,
-  0x76eac0f2, 0x76e86db0, 0x76e61a25, 0x76e3c650, 0x76e17233, 0x76df1dcb,
-    0x76dcc91b, 0x76da7421,
-  0x76d81ede, 0x76d5c952, 0x76d3737c, 0x76d11d5d, 0x76cec6f5, 0x76cc7043,
-    0x76ca1948, 0x76c7c204,
-  0x76c56a77, 0x76c312a0, 0x76c0ba80, 0x76be6217, 0x76bc0965, 0x76b9b069,
-    0x76b75724, 0x76b4fd96,
-  0x76b2a3bf, 0x76b0499e, 0x76adef34, 0x76ab9481, 0x76a93985, 0x76a6de40,
-    0x76a482b1, 0x76a226da,
-  0x769fcab9, 0x769d6e4f, 0x769b119b, 0x7698b49f, 0x76965759, 0x7693f9ca,
-    0x76919bf3, 0x768f3dd2,
-  0x768cdf67, 0x768a80b4, 0x768821b8, 0x7685c272, 0x768362e4, 0x7681030c,
-    0x767ea2eb, 0x767c4281,
-  0x7679e1ce, 0x767780d2, 0x76751f8d, 0x7672bdfe, 0x76705c27, 0x766dfa07,
-    0x766b979d, 0x766934eb,
-  0x7666d1ef, 0x76646eab, 0x76620b1d, 0x765fa747, 0x765d4327, 0x765adebe,
-    0x76587a0d, 0x76561512,
-  0x7653afce, 0x76514a42, 0x764ee46c, 0x764c7e4d, 0x764a17e6, 0x7647b135,
-    0x76454a3c, 0x7642e2f9,
-  0x76407b6e, 0x763e139a, 0x763bab7c, 0x76394316, 0x7636da67, 0x7634716f,
-    0x7632082e, 0x762f9ea4,
-  0x762d34d1, 0x762acab6, 0x76286051, 0x7625f5a3, 0x76238aad, 0x76211f6e,
-    0x761eb3e6, 0x761c4815,
-  0x7619dbfb, 0x76176f98, 0x761502ed, 0x761295f9, 0x761028bb, 0x760dbb35,
-    0x760b4d67, 0x7608df4f,
-  0x760670ee, 0x76040245, 0x76019353, 0x75ff2418, 0x75fcb495, 0x75fa44c8,
-    0x75f7d4b3, 0x75f56455,
-  0x75f2f3ae, 0x75f082bf, 0x75ee1187, 0x75eba006, 0x75e92e3c, 0x75e6bc2a,
-    0x75e449ce, 0x75e1d72b,
-  0x75df643e, 0x75dcf109, 0x75da7d8b, 0x75d809c4, 0x75d595b4, 0x75d3215c,
-    0x75d0acbc, 0x75ce37d2,
-  0x75cbc2a0, 0x75c94d25, 0x75c6d762, 0x75c46156, 0x75c1eb01, 0x75bf7464,
-    0x75bcfd7e, 0x75ba864f,
-  0x75b80ed8, 0x75b59718, 0x75b31f0f, 0x75b0a6be, 0x75ae2e25, 0x75abb542,
-    0x75a93c18, 0x75a6c2a4,
-  0x75a448e8, 0x75a1cee4, 0x759f5496, 0x759cda01, 0x759a5f22, 0x7597e3fc,
-    0x7595688c, 0x7592ecd4,
-  0x759070d4, 0x758df48b, 0x758b77fa, 0x7588fb20, 0x75867dfd, 0x75840093,
-    0x758182df, 0x757f04e3,
-  0x757c869f, 0x757a0812, 0x7577893d, 0x75750a1f, 0x75728ab9, 0x75700b0a,
-    0x756d8b13, 0x756b0ad3,
-  0x75688a4b, 0x7566097b, 0x75638862, 0x75610701, 0x755e8557, 0x755c0365,
-    0x7559812b, 0x7556fea8,
-  0x75547bdd, 0x7551f8c9, 0x754f756e, 0x754cf1c9, 0x754a6ddd, 0x7547e9a8,
-    0x7545652a, 0x7542e065,
-  0x75405b57, 0x753dd600, 0x753b5061, 0x7538ca7b, 0x7536444b, 0x7533bdd4,
-    0x75313714, 0x752eb00c,
-  0x752c28bb, 0x7529a122, 0x75271941, 0x75249118, 0x752208a7, 0x751f7fed,
-    0x751cf6eb, 0x751a6da0,
-  0x7517e40e, 0x75155a33, 0x7512d010, 0x751045a5, 0x750dbaf2, 0x750b2ff6,
-    0x7508a4b2, 0x75061926,
-  0x75038d52, 0x75010136, 0x74fe74d1, 0x74fbe825, 0x74f95b30, 0x74f6cdf3,
-    0x74f4406d, 0x74f1b2a0,
-  0x74ef248b, 0x74ec962d, 0x74ea0787, 0x74e7789a, 0x74e4e964, 0x74e259e6,
-    0x74dfca20, 0x74dd3a11,
-  0x74daa9bb, 0x74d8191d, 0x74d58836, 0x74d2f708, 0x74d06591, 0x74cdd3d2,
-    0x74cb41cc, 0x74c8af7d,
-  0x74c61ce6, 0x74c38a07, 0x74c0f6e0, 0x74be6372, 0x74bbcfbb, 0x74b93bbc,
-    0x74b6a775, 0x74b412e6,
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-    0x74a1fb1e, 0x749f6450,
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-    0x72c97bad, 0x72c6b3cc,
-  0x72c3eba4, 0x72c12335, 0x72be5a7f, 0x72bb9183, 0x72b8c83f, 0x72b5feb5,
-    0x72b334e4, 0x72b06acd,
-  0x72ada06f, 0x72aad5c9, 0x72a80ade, 0x72a53fab, 0x72a27432, 0x729fa872,
-    0x729cdc6b, 0x729a101e,
-  0x7297438a, 0x729476af, 0x7291a98e, 0x728edc26, 0x728c0e77, 0x72894082,
-    0x72867245, 0x7283a3c3,
-  0x7280d4f9, 0x727e05e9, 0x727b3693, 0x727866f6, 0x72759712, 0x7272c6e7,
-    0x726ff676, 0x726d25bf,
-  0x726a54c1, 0x7267837c, 0x7264b1f0, 0x7261e01e, 0x725f0e06, 0x725c3ba7,
-    0x72596901, 0x72569615,
-  0x7253c2e3, 0x7250ef6a, 0x724e1baa, 0x724b47a4, 0x72487357, 0x72459ec4,
-    0x7242c9ea, 0x723ff4ca,
-  0x723d1f63, 0x723a49b6, 0x723773c3, 0x72349d89, 0x7231c708, 0x722ef041,
-    0x722c1934, 0x722941e0,
-  0x72266a46, 0x72239266, 0x7220ba3f, 0x721de1d1, 0x721b091d, 0x72183023,
-    0x721556e3, 0x72127d5c,
-  0x720fa38e, 0x720cc97b, 0x7209ef21, 0x72071480, 0x7204399a, 0x72015e6d,
-    0x71fe82f9, 0x71fba740,
-  0x71f8cb40, 0x71f5eefa, 0x71f3126d, 0x71f0359a, 0x71ed5881, 0x71ea7b22,
-    0x71e79d7c, 0x71e4bf90,
-  0x71e1e15e, 0x71df02e5, 0x71dc2427, 0x71d94522, 0x71d665d6, 0x71d38645,
-    0x71d0a66d, 0x71cdc650,
-  0x71cae5ec, 0x71c80542, 0x71c52451, 0x71c2431b, 0x71bf619e, 0x71bc7fdb,
-    0x71b99dd2, 0x71b6bb83,
-  0x71b3d8ed, 0x71b0f612, 0x71ae12f0, 0x71ab2f89, 0x71a84bdb, 0x71a567e7,
-    0x71a283ad, 0x719f9f2c,
-  0x719cba66, 0x7199d55a, 0x7196f008, 0x71940a6f, 0x71912490, 0x718e3e6c,
-    0x718b5801, 0x71887151,
-  0x71858a5a, 0x7182a31d, 0x717fbb9a, 0x717cd3d2, 0x7179ebc3, 0x7177036e,
-    0x71741ad3, 0x717131f3,
-  0x716e48cc, 0x716b5f5f, 0x716875ad, 0x71658bb4, 0x7162a175, 0x715fb6f1,
-    0x715ccc26, 0x7159e116,
-  0x7156f5c0, 0x71540a24, 0x71511e42, 0x714e321a, 0x714b45ac, 0x714858f8,
-    0x71456bfe, 0x71427ebf,
-  0x713f9139, 0x713ca36e, 0x7139b55d, 0x7136c706, 0x7133d869, 0x7130e987,
-    0x712dfa5e, 0x712b0af0,
-  0x71281b3c, 0x71252b42, 0x71223b02, 0x711f4a7d, 0x711c59b2, 0x711968a1,
-    0x7116774a, 0x711385ad,
-  0x711093cb, 0x710da1a3, 0x710aaf35, 0x7107bc82, 0x7104c989, 0x7101d64a,
-    0x70fee2c5, 0x70fbeefb,
-  0x70f8faeb, 0x70f60695, 0x70f311fa, 0x70f01d19, 0x70ed27f2, 0x70ea3286,
-    0x70e73cd4, 0x70e446dc,
-  0x70e1509f, 0x70de5a1c, 0x70db6353, 0x70d86c45, 0x70d574f1, 0x70d27d58,
-    0x70cf8579, 0x70cc8d54,
-  0x70c994ea, 0x70c69c3a, 0x70c3a345, 0x70c0aa0a, 0x70bdb08a, 0x70bab6c4,
-    0x70b7bcb8, 0x70b4c267,
-  0x70b1c7d1, 0x70aeccf5, 0x70abd1d3, 0x70a8d66c, 0x70a5dac0, 0x70a2dece,
-    0x709fe296, 0x709ce619,
-  0x7099e957, 0x7096ec4f, 0x7093ef01, 0x7090f16e, 0x708df396, 0x708af579,
-    0x7087f715, 0x7084f86d,
-  0x7081f97f, 0x707efa4c, 0x707bfad3, 0x7078fb15, 0x7075fb11, 0x7072fac9,
-    0x706ffa3a, 0x706cf967,
-  0x7069f84e, 0x7066f6f0, 0x7063f54c, 0x7060f363, 0x705df135, 0x705aeec1,
-    0x7057ec08, 0x7054e90a,
-  0x7051e5c7, 0x704ee23e, 0x704bde70, 0x7048da5d, 0x7045d604, 0x7042d166,
-    0x703fcc83, 0x703cc75b,
-  0x7039c1ed, 0x7036bc3b, 0x7033b643, 0x7030b005, 0x702da983, 0x702aa2bb,
-    0x70279baf, 0x7024945d,
-  0x70218cc6, 0x701e84e9, 0x701b7cc8, 0x70187461, 0x70156bb5, 0x701262c4,
-    0x700f598e, 0x700c5013,
-  0x70094653, 0x70063c4e, 0x70033203, 0x70002774, 0x6ffd1c9f, 0x6ffa1185,
-    0x6ff70626, 0x6ff3fa82,
-  0x6ff0ee99, 0x6fede26b, 0x6fead5f8, 0x6fe7c940, 0x6fe4bc43, 0x6fe1af01,
-    0x6fdea17a, 0x6fdb93ae,
-  0x6fd8859d, 0x6fd57746, 0x6fd268ab, 0x6fcf59cb, 0x6fcc4aa6, 0x6fc93b3c,
-    0x6fc62b8d, 0x6fc31b99,
-  0x6fc00b60, 0x6fbcfae2, 0x6fb9ea20, 0x6fb6d918, 0x6fb3c7cb, 0x6fb0b63a,
-    0x6fada464, 0x6faa9248,
-  0x6fa77fe8, 0x6fa46d43, 0x6fa15a59, 0x6f9e472b, 0x6f9b33b7, 0x6f981fff,
-    0x6f950c01, 0x6f91f7bf,
-  0x6f8ee338, 0x6f8bce6c, 0x6f88b95c, 0x6f85a407, 0x6f828e6c, 0x6f7f788d,
-    0x6f7c626a, 0x6f794c01,
-  0x6f763554, 0x6f731e62, 0x6f70072b, 0x6f6cefb0, 0x6f69d7f0, 0x6f66bfeb,
-    0x6f63a7a1, 0x6f608f13,
-  0x6f5d7640, 0x6f5a5d28, 0x6f5743cb, 0x6f542a2a, 0x6f511044, 0x6f4df61a,
-    0x6f4adbab, 0x6f47c0f7,
-  0x6f44a5ff, 0x6f418ac2, 0x6f3e6f40, 0x6f3b537a, 0x6f38376f, 0x6f351b1f,
-    0x6f31fe8b, 0x6f2ee1b2,
-  0x6f2bc495, 0x6f28a733, 0x6f25898d, 0x6f226ba2, 0x6f1f4d72, 0x6f1c2efe,
-    0x6f191045, 0x6f15f148,
-  0x6f12d206, 0x6f0fb280, 0x6f0c92b6, 0x6f0972a6, 0x6f065253, 0x6f0331ba,
-    0x6f0010de, 0x6efcefbd,
-  0x6ef9ce57, 0x6ef6acad, 0x6ef38abe, 0x6ef0688b, 0x6eed4614, 0x6eea2358,
-    0x6ee70058, 0x6ee3dd13,
-  0x6ee0b98a, 0x6edd95bd, 0x6eda71ab, 0x6ed74d55, 0x6ed428ba, 0x6ed103db,
-    0x6ecddeb8, 0x6ecab950,
-  0x6ec793a4, 0x6ec46db4, 0x6ec1477f, 0x6ebe2106, 0x6ebafa49, 0x6eb7d347,
-    0x6eb4ac02, 0x6eb18477,
-  0x6eae5ca9, 0x6eab3496, 0x6ea80c3f, 0x6ea4e3a4, 0x6ea1bac4, 0x6e9e91a1,
-    0x6e9b6839, 0x6e983e8d,
-  0x6e95149c, 0x6e91ea67, 0x6e8ebfef, 0x6e8b9532, 0x6e886a30, 0x6e853eeb,
-    0x6e821361, 0x6e7ee794,
-  0x6e7bbb82, 0x6e788f2c, 0x6e756291, 0x6e7235b3, 0x6e6f0890, 0x6e6bdb2a,
-    0x6e68ad7f, 0x6e657f90,
-  0x6e62515d, 0x6e5f22e6, 0x6e5bf42b, 0x6e58c52c, 0x6e5595e9, 0x6e526662,
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-  0x6e48d633, 0x6e45a59c, 0x6e4274c1, 0x6e3f43a1, 0x6e3c123e, 0x6e38e096,
-    0x6e35aeab, 0x6e327c7b,
-  0x6e2f4a08, 0x6e2c1750, 0x6e28e455, 0x6e25b115, 0x6e227d92, 0x6e1f49cb,
-    0x6e1c15c0, 0x6e18e171,
-  0x6e15acde, 0x6e127807, 0x6e0f42ec, 0x6e0c0d8e, 0x6e08d7eb, 0x6e05a205,
-    0x6e026bda, 0x6dff356c,
-  0x6dfbfeba, 0x6df8c7c4, 0x6df5908b, 0x6df2590d, 0x6def214c, 0x6debe947,
-    0x6de8b0fe, 0x6de57871,
-  0x6de23fa0, 0x6ddf068c, 0x6ddbcd34, 0x6dd89398, 0x6dd559b9, 0x6dd21f95,
-    0x6dcee52e, 0x6dcbaa83,
-  0x6dc86f95, 0x6dc53462, 0x6dc1f8ec, 0x6dbebd33, 0x6dbb8135, 0x6db844f4,
-    0x6db5086f, 0x6db1cba7,
-  0x6dae8e9b, 0x6dab514b, 0x6da813b8, 0x6da4d5e1, 0x6da197c6, 0x6d9e5968,
-    0x6d9b1ac6, 0x6d97dbe0,
-  0x6d949cb7, 0x6d915d4a, 0x6d8e1d9a, 0x6d8adda6, 0x6d879d6e, 0x6d845cf3,
-    0x6d811c35, 0x6d7ddb33,
-  0x6d7a99ed, 0x6d775864, 0x6d741697, 0x6d70d487, 0x6d6d9233, 0x6d6a4f9c,
-    0x6d670cc1, 0x6d63c9a3,
-  0x6d608641, 0x6d5d429c, 0x6d59feb3, 0x6d56ba87, 0x6d537617, 0x6d503164,
-    0x6d4cec6e, 0x6d49a734,
-  0x6d4661b7, 0x6d431bf6, 0x6d3fd5f2, 0x6d3c8fab, 0x6d394920, 0x6d360252,
-    0x6d32bb40, 0x6d2f73eb,
-  0x6d2c2c53, 0x6d28e477, 0x6d259c58, 0x6d2253f6, 0x6d1f0b50, 0x6d1bc267,
-    0x6d18793b, 0x6d152fcc,
-  0x6d11e619, 0x6d0e9c23, 0x6d0b51e9, 0x6d08076d, 0x6d04bcad, 0x6d0171aa,
-    0x6cfe2663, 0x6cfadada,
-  0x6cf78f0d, 0x6cf442fd, 0x6cf0f6aa, 0x6cedaa13, 0x6cea5d3a, 0x6ce7101d,
-    0x6ce3c2bd, 0x6ce0751a,
-  0x6cdd2733, 0x6cd9d90a, 0x6cd68a9d, 0x6cd33bed, 0x6ccfecfa, 0x6ccc9dc4,
-    0x6cc94e4b, 0x6cc5fe8f,
-  0x6cc2ae90, 0x6cbf5e4d, 0x6cbc0dc8, 0x6cb8bcff, 0x6cb56bf4, 0x6cb21aa5,
-    0x6caec913, 0x6cab773e,
-  0x6ca82527, 0x6ca4d2cc, 0x6ca1802e, 0x6c9e2d4d, 0x6c9ada29, 0x6c9786c2,
-    0x6c943318, 0x6c90df2c,
-  0x6c8d8afc, 0x6c8a3689, 0x6c86e1d3, 0x6c838cdb, 0x6c80379f, 0x6c7ce220,
-    0x6c798c5f, 0x6c76365b,
-  0x6c72e013, 0x6c6f8989, 0x6c6c32bc, 0x6c68dbac, 0x6c658459, 0x6c622cc4,
-    0x6c5ed4eb, 0x6c5b7cd0,
-  0x6c582472, 0x6c54cbd1, 0x6c5172ed, 0x6c4e19c6, 0x6c4ac05d, 0x6c4766b0,
-    0x6c440cc1, 0x6c40b28f,
-  0x6c3d581b, 0x6c39fd63, 0x6c36a269, 0x6c33472c, 0x6c2febad, 0x6c2c8fea,
-    0x6c2933e5, 0x6c25d79d,
-  0x6c227b13, 0x6c1f1e45, 0x6c1bc136, 0x6c1863e3, 0x6c15064e, 0x6c11a876,
-    0x6c0e4a5b, 0x6c0aebfe,
-  0x6c078d5e, 0x6c042e7b, 0x6c00cf56, 0x6bfd6fee, 0x6bfa1044, 0x6bf6b056,
-    0x6bf35027, 0x6befefb5,
-  0x6bec8f00, 0x6be92e08, 0x6be5ccce, 0x6be26b52, 0x6bdf0993, 0x6bdba791,
-    0x6bd8454d, 0x6bd4e2c6,
-  0x6bd17ffd, 0x6bce1cf1, 0x6bcab9a3, 0x6bc75613, 0x6bc3f23f, 0x6bc08e2a,
-    0x6bbd29d2, 0x6bb9c537,
-  0x6bb6605a, 0x6bb2fb3b, 0x6baf95d9, 0x6bac3034, 0x6ba8ca4e, 0x6ba56425,
-    0x6ba1fdb9, 0x6b9e970b,
-  0x6b9b301b, 0x6b97c8e8, 0x6b946173, 0x6b90f9bc, 0x6b8d91c2, 0x6b8a2986,
-    0x6b86c107, 0x6b835846,
-  0x6b7fef43, 0x6b7c85fe, 0x6b791c76, 0x6b75b2ac, 0x6b7248a0, 0x6b6ede51,
-    0x6b6b73c0, 0x6b6808ed,
-  0x6b649dd8, 0x6b613280, 0x6b5dc6e6, 0x6b5a5b0a, 0x6b56eeec, 0x6b53828b,
-    0x6b5015e9, 0x6b4ca904,
-  0x6b493bdd, 0x6b45ce73, 0x6b4260c8, 0x6b3ef2da, 0x6b3b84ab, 0x6b381639,
-    0x6b34a785, 0x6b31388e,
-  0x6b2dc956, 0x6b2a59dc, 0x6b26ea1f, 0x6b237a21, 0x6b2009e0, 0x6b1c995d,
-    0x6b192898, 0x6b15b791,
-  0x6b124648, 0x6b0ed4bd, 0x6b0b62f0, 0x6b07f0e1, 0x6b047e90, 0x6b010bfd,
-    0x6afd9928, 0x6afa2610,
-  0x6af6b2b7, 0x6af33f1c, 0x6aefcb3f, 0x6aec5720, 0x6ae8e2bf, 0x6ae56e1c,
-    0x6ae1f937, 0x6ade8410,
-  0x6adb0ea8, 0x6ad798fd, 0x6ad42311, 0x6ad0ace2, 0x6acd3672, 0x6ac9bfc0,
-    0x6ac648cb, 0x6ac2d195,
-  0x6abf5a1e, 0x6abbe264, 0x6ab86a68, 0x6ab4f22b, 0x6ab179ac, 0x6aae00eb,
-    0x6aaa87e8, 0x6aa70ea4,
-  0x6aa3951d, 0x6aa01b55, 0x6a9ca14b, 0x6a992700, 0x6a95ac72, 0x6a9231a3,
-    0x6a8eb692, 0x6a8b3b3f,
-  0x6a87bfab, 0x6a8443d5, 0x6a80c7bd, 0x6a7d4b64, 0x6a79cec8, 0x6a7651ec,
-    0x6a72d4cd, 0x6a6f576d,
-  0x6a6bd9cb, 0x6a685be8, 0x6a64ddc2, 0x6a615f5c, 0x6a5de0b3, 0x6a5a61c9,
-    0x6a56e29e, 0x6a536331,
-  0x6a4fe382, 0x6a4c6391, 0x6a48e360, 0x6a4562ec, 0x6a41e237, 0x6a3e6140,
-    0x6a3ae008, 0x6a375e8f,
-  0x6a33dcd4, 0x6a305ad7, 0x6a2cd899, 0x6a295619, 0x6a25d358, 0x6a225055,
-    0x6a1ecd11, 0x6a1b498c,
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-    0x5bc6b70b, 0x5bc255b2,
-  0x5bbdf421, 0x5bb99257, 0x5bb53054, 0x5bb0ce19, 0x5bac6ba6, 0x5ba808f9,
-    0x5ba3a615, 0x5b9f42f7,
-  0x5b9adfa2, 0x5b967c13, 0x5b92184d, 0x5b8db44d, 0x5b895016, 0x5b84eba6,
-    0x5b8086fd, 0x5b7c221c,
-  0x5b77bd02, 0x5b7357b0, 0x5b6ef226, 0x5b6a8c63, 0x5b662668, 0x5b61c035,
-    0x5b5d59c9, 0x5b58f324,
-  0x5b548c48, 0x5b502533, 0x5b4bbde6, 0x5b475660, 0x5b42eea2, 0x5b3e86ac,
-    0x5b3a1e7e, 0x5b35b617,
-  0x5b314d78, 0x5b2ce4a1, 0x5b287b91, 0x5b241249, 0x5b1fa8c9, 0x5b1b3f11,
-    0x5b16d521, 0x5b126af8,
-  0x5b0e0098, 0x5b0995ff, 0x5b052b2e, 0x5b00c025, 0x5afc54e3, 0x5af7e96a,
-    0x5af37db8, 0x5aef11cf,
-  0x5aeaa5ad, 0x5ae63953, 0x5ae1ccc1, 0x5add5ff7, 0x5ad8f2f5, 0x5ad485bb,
-    0x5ad01849, 0x5acbaa9f,
-  0x5ac73cbd, 0x5ac2cea3, 0x5abe6050, 0x5ab9f1c6, 0x5ab58304, 0x5ab1140a,
-    0x5aaca4d8, 0x5aa8356f,
-  0x5aa3c5cd, 0x5a9f55f3, 0x5a9ae5e2, 0x5a967598, 0x5a920517, 0x5a8d945d,
-    0x5a89236c, 0x5a84b243,
-  0x5a8040e3, 0x5a7bcf4a, 0x5a775d7a, 0x5a72eb71, 0x5a6e7931, 0x5a6a06ba,
-    0x5a65940a, 0x5a612123,
-  0x5a5cae04, 0x5a583aad, 0x5a53c71e, 0x5a4f5358, 0x5a4adf5a, 0x5a466b24,
-    0x5a41f6b7, 0x5a3d8212,
-  0x5a390d35, 0x5a349821, 0x5a3022d5, 0x5a2bad51, 0x5a273796, 0x5a22c1a3,
-    0x5a1e4b79, 0x5a19d517,
-  0x5a155e7d, 0x5a10e7ac, 0x5a0c70a3, 0x5a07f963, 0x5a0381eb, 0x59ff0a3c,
-    0x59fa9255, 0x59f61a36,
-  0x59f1a1e0, 0x59ed2953, 0x59e8b08e, 0x59e43792, 0x59dfbe5e, 0x59db44f3,
-    0x59d6cb50, 0x59d25176,
-  0x59cdd765, 0x59c95d1c, 0x59c4e29c, 0x59c067e4, 0x59bbecf5, 0x59b771cf,
-    0x59b2f671, 0x59ae7add,
-  0x59a9ff10, 0x59a5830d, 0x59a106d2, 0x599c8a60, 0x59980db6, 0x599390d5,
-    0x598f13bd, 0x598a966e,
-  0x598618e8, 0x59819b2a, 0x597d1d35, 0x59789f09, 0x597420a6, 0x596fa20b,
-    0x596b233a, 0x5966a431,
-  0x596224f1, 0x595da57a, 0x595925cc, 0x5954a5e6, 0x595025ca, 0x594ba576,
-    0x594724ec, 0x5942a42a,
-  0x593e2331, 0x5939a202, 0x5935209b, 0x59309efd, 0x592c1d28, 0x59279b1c,
-    0x592318d9, 0x591e9660,
-  0x591a13af, 0x591590c7, 0x59110da8, 0x590c8a53, 0x590806c6, 0x59038302,
-    0x58feff08, 0x58fa7ad7,
-  0x58f5f66e, 0x58f171cf, 0x58ececf9, 0x58e867ed, 0x58e3e2a9, 0x58df5d2e,
-    0x58dad77d, 0x58d65195,
-  0x58d1cb76, 0x58cd4520, 0x58c8be94, 0x58c437d1, 0x58bfb0d7, 0x58bb29a6,
-    0x58b6a23e, 0x58b21aa0,
-  0x58ad92cb, 0x58a90ac0, 0x58a4827d, 0x589ffa04, 0x589b7155, 0x5896e86f,
-    0x58925f52, 0x588dd5fe,
-  0x58894c74, 0x5884c2b3, 0x588038bb, 0x587bae8d, 0x58772429, 0x5872998e,
-    0x586e0ebc, 0x586983b4,
-  0x5864f875, 0x58606d00, 0x585be154, 0x58575571, 0x5852c958, 0x584e3d09,
-    0x5849b083, 0x584523c7,
-  0x584096d4, 0x583c09ab, 0x58377c4c, 0x5832eeb6, 0x582e60e9, 0x5829d2e6,
-    0x582544ad, 0x5820b63e,
-  0x581c2798, 0x581798bb, 0x581309a9, 0x580e7a60, 0x5809eae1, 0x58055b2b,
-    0x5800cb3f, 0x57fc3b1d,
-  0x57f7aac5, 0x57f31a36, 0x57ee8971, 0x57e9f876, 0x57e56744, 0x57e0d5dd,
-    0x57dc443f, 0x57d7b26b,
-  0x57d32061, 0x57ce8e20, 0x57c9fbaa, 0x57c568fd, 0x57c0d61a, 0x57bc4301,
-    0x57b7afb2, 0x57b31c2d,
-  0x57ae8872, 0x57a9f480, 0x57a56059, 0x57a0cbfb, 0x579c3768, 0x5797a29e,
-    0x57930d9e, 0x578e7869,
-  0x5789e2fd, 0x57854d5b, 0x5780b784, 0x577c2176, 0x57778b32, 0x5772f4b9,
-    0x576e5e09, 0x5769c724,
-  0x57653009, 0x576098b7, 0x575c0130, 0x57576973, 0x5752d180, 0x574e3957,
-    0x5749a0f9, 0x57450864,
-  0x57406f9a, 0x573bd69a, 0x57373d64, 0x5732a3f8, 0x572e0a56, 0x5729707f,
-    0x5724d672, 0x57203c2f,
-  0x571ba1b7, 0x57170708, 0x57126c24, 0x570dd10a, 0x570935bb, 0x57049a36,
-    0x56fffe7b, 0x56fb628b,
-  0x56f6c664, 0x56f22a09, 0x56ed8d77, 0x56e8f0b0, 0x56e453b4, 0x56dfb681,
-    0x56db1919, 0x56d67b7c,
-  0x56d1dda9, 0x56cd3fa1, 0x56c8a162, 0x56c402ef, 0x56bf6446, 0x56bac567,
-    0x56b62653, 0x56b18709,
-  0x56ace78a, 0x56a847d6, 0x56a3a7ec, 0x569f07cc, 0x569a6777, 0x5695c6ed,
-    0x5691262d, 0x568c8538,
-  0x5687e40e, 0x568342ae, 0x567ea118, 0x5679ff4e, 0x56755d4e, 0x5670bb19,
-    0x566c18ae, 0x5667760e,
-  0x5662d339, 0x565e302e, 0x56598cee, 0x5654e979, 0x565045cf, 0x564ba1f0,
-    0x5646fddb, 0x56425991,
-  0x563db512, 0x5639105d, 0x56346b74, 0x562fc655, 0x562b2101, 0x56267b78,
-    0x5621d5ba, 0x561d2fc6,
-  0x5618899e, 0x5613e340, 0x560f3cae, 0x560a95e6, 0x5605eee9, 0x560147b7,
-    0x55fca050, 0x55f7f8b4,
-  0x55f350e3, 0x55eea8dd, 0x55ea00a2, 0x55e55832, 0x55e0af8d, 0x55dc06b3,
-    0x55d75da4, 0x55d2b460,
-  0x55ce0ae7, 0x55c96139, 0x55c4b757, 0x55c00d3f, 0x55bb62f3, 0x55b6b871,
-    0x55b20dbb, 0x55ad62d0,
-  0x55a8b7b0, 0x55a40c5b, 0x559f60d1, 0x559ab513, 0x55960920, 0x55915cf8,
-    0x558cb09b, 0x55880409,
-  0x55835743, 0x557eaa48, 0x5579fd18, 0x55754fb3, 0x5570a21a, 0x556bf44c,
-    0x55674649, 0x55629812,
-  0x555de9a6, 0x55593b05, 0x55548c30, 0x554fdd26, 0x554b2de7, 0x55467e74,
-    0x5541cecc, 0x553d1ef0,
-  0x55386edf, 0x5533be99, 0x552f0e1f, 0x552a5d70, 0x5525ac8d, 0x5520fb75,
-    0x551c4a29, 0x551798a8,
-  0x5512e6f3, 0x550e3509, 0x550982eb, 0x5504d099, 0x55001e12, 0x54fb6b56,
-    0x54f6b866, 0x54f20542,
-  0x54ed51e9, 0x54e89e5c, 0x54e3ea9a, 0x54df36a5, 0x54da827a, 0x54d5ce1c,
-    0x54d11989, 0x54cc64c2,
-  0x54c7afc6, 0x54c2fa96, 0x54be4532, 0x54b98f9a, 0x54b4d9cd, 0x54b023cc,
-    0x54ab6d97, 0x54a6b72e,
-  0x54a20090, 0x549d49bf, 0x549892b9, 0x5493db7f, 0x548f2410, 0x548a6c6e,
-    0x5485b497, 0x5480fc8c,
-  0x547c444d, 0x54778bda, 0x5472d333, 0x546e1a58, 0x54696149, 0x5464a805,
-    0x545fee8e, 0x545b34e3,
-  0x54567b03, 0x5451c0f0, 0x544d06a8, 0x54484c2d, 0x5443917d, 0x543ed699,
-    0x543a1b82, 0x54356037,
-  0x5430a4b7, 0x542be904, 0x54272d1d, 0x54227102, 0x541db4b3, 0x5418f830,
-    0x54143b79, 0x540f7e8e,
-  0x540ac170, 0x5406041d, 0x54014697, 0x53fc88dd, 0x53f7caef, 0x53f30cce,
-    0x53ee4e78, 0x53e98fef,
-  0x53e4d132, 0x53e01242, 0x53db531d, 0x53d693c5, 0x53d1d439, 0x53cd147a,
-    0x53c85486, 0x53c3945f,
-  0x53bed405, 0x53ba1377, 0x53b552b5, 0x53b091bf, 0x53abd096, 0x53a70f39,
-    0x53a24da9, 0x539d8be5,
-  0x5398c9ed, 0x539407c2, 0x538f4564, 0x538a82d1, 0x5385c00c, 0x5380fd12,
-    0x537c39e6, 0x53777685,
-  0x5372b2f2, 0x536def2a, 0x53692b30, 0x53646701, 0x535fa2a0, 0x535ade0b,
-    0x53561942, 0x53515447,
-  0x534c8f17, 0x5347c9b5, 0x5343041f, 0x533e3e55, 0x53397859, 0x5334b229,
-    0x532febc5, 0x532b252f,
-  0x53265e65, 0x53219767, 0x531cd037, 0x531808d3, 0x5313413c, 0x530e7972,
-    0x5309b174, 0x5304e943,
-  0x530020df, 0x52fb5848, 0x52f68f7e, 0x52f1c680, 0x52ecfd4f, 0x52e833ec,
-    0x52e36a55, 0x52dea08a,
-  0x52d9d68d, 0x52d50c5d, 0x52d041f9, 0x52cb7763, 0x52c6ac99, 0x52c1e19d,
-    0x52bd166d, 0x52b84b0a,
-  0x52b37f74, 0x52aeb3ac, 0x52a9e7b0, 0x52a51b81, 0x52a04f1f, 0x529b828a,
-    0x5296b5c3, 0x5291e8c8,
-  0x528d1b9b, 0x52884e3a, 0x528380a7, 0x527eb2e0, 0x5279e4e7, 0x527516bb,
-    0x5270485c, 0x526b79ca,
-  0x5266ab06, 0x5261dc0e, 0x525d0ce4, 0x52583d87, 0x52536df7, 0x524e9e34,
-    0x5249ce3f, 0x5244fe17,
-  0x52402dbc, 0x523b5d2e, 0x52368c6e, 0x5231bb7b, 0x522cea55, 0x522818fc,
-    0x52234771, 0x521e75b3,
-  0x5219a3c3, 0x5214d1a0, 0x520fff4a, 0x520b2cc2, 0x52065a07, 0x52018719,
-    0x51fcb3f9, 0x51f7e0a6,
-  0x51f30d21, 0x51ee3969, 0x51e9657e, 0x51e49162, 0x51dfbd12, 0x51dae890,
-    0x51d613dc, 0x51d13ef5,
-  0x51cc69db, 0x51c79490, 0x51c2bf11, 0x51bde960, 0x51b9137d, 0x51b43d68,
-    0x51af6720, 0x51aa90a5,
-  0x51a5b9f9, 0x51a0e31a, 0x519c0c08, 0x519734c4, 0x51925d4e, 0x518d85a6,
-    0x5188adcb, 0x5183d5be,
-  0x517efd7f, 0x517a250d, 0x51754c69, 0x51707393, 0x516b9a8b, 0x5166c150,
-    0x5161e7e4, 0x515d0e45,
-  0x51583473, 0x51535a70, 0x514e803b, 0x5149a5d3, 0x5144cb39, 0x513ff06d,
-    0x513b156f, 0x51363a3f,
-  0x51315edd, 0x512c8348, 0x5127a782, 0x5122cb8a, 0x511def5f, 0x51191302,
-    0x51143674, 0x510f59b3,
-  0x510a7cc1, 0x51059f9c, 0x5100c246, 0x50fbe4bd, 0x50f70703, 0x50f22916,
-    0x50ed4af8, 0x50e86ca8,
-  0x50e38e25, 0x50deaf71, 0x50d9d08b, 0x50d4f173, 0x50d0122a, 0x50cb32ae,
-    0x50c65301, 0x50c17322,
-  0x50bc9311, 0x50b7b2ce, 0x50b2d259, 0x50adf1b3, 0x50a910db, 0x50a42fd1,
-    0x509f4e95, 0x509a6d28,
-  0x50958b88, 0x5090a9b8, 0x508bc7b5, 0x5086e581, 0x5082031b, 0x507d2083,
-    0x50783dba, 0x50735abf,
-  0x506e7793, 0x50699435, 0x5064b0a5, 0x505fcce4, 0x505ae8f1, 0x505604cd,
-    0x50512077, 0x504c3bef,
-  0x50475736, 0x5042724c, 0x503d8d30, 0x5038a7e2, 0x5033c263, 0x502edcb2,
-    0x5029f6d1, 0x502510bd,
-  0x50202a78, 0x501b4402, 0x50165d5a, 0x50117681, 0x500c8f77, 0x5007a83b,
-    0x5002c0cd, 0x4ffdd92f,
-  0x4ff8f15f, 0x4ff4095e, 0x4fef212b, 0x4fea38c7, 0x4fe55032, 0x4fe0676c,
-    0x4fdb7e74, 0x4fd6954b,
-  0x4fd1abf0, 0x4fccc265, 0x4fc7d8a8, 0x4fc2eeba, 0x4fbe049b, 0x4fb91a4b,
-    0x4fb42fc9, 0x4faf4517,
-  0x4faa5a33, 0x4fa56f1e, 0x4fa083d8, 0x4f9b9861, 0x4f96acb8, 0x4f91c0df,
-    0x4f8cd4d4, 0x4f87e899,
-  0x4f82fc2c, 0x4f7e0f8f, 0x4f7922c0, 0x4f7435c0, 0x4f6f488f, 0x4f6a5b2e,
-    0x4f656d9b, 0x4f607fd7,
-  0x4f5b91e3, 0x4f56a3bd, 0x4f51b566, 0x4f4cc6df, 0x4f47d827, 0x4f42e93d,
-    0x4f3dfa23, 0x4f390ad8,
-  0x4f341b5c, 0x4f2f2baf, 0x4f2a3bd2, 0x4f254bc3, 0x4f205b84, 0x4f1b6b14,
-    0x4f167a73, 0x4f1189a1,
-  0x4f0c989f, 0x4f07a76b, 0x4f02b608, 0x4efdc473, 0x4ef8d2ad, 0x4ef3e0b7,
-    0x4eeeee90, 0x4ee9fc39,
-  0x4ee509b1, 0x4ee016f8, 0x4edb240e, 0x4ed630f4, 0x4ed13da9, 0x4ecc4a2e,
-    0x4ec75682, 0x4ec262a5,
-  0x4ebd6e98, 0x4eb87a5a, 0x4eb385ec, 0x4eae914d, 0x4ea99c7d, 0x4ea4a77d,
-    0x4e9fb24d, 0x4e9abcec,
-  0x4e95c75b, 0x4e90d199, 0x4e8bdba6, 0x4e86e583, 0x4e81ef30, 0x4e7cf8ac,
-    0x4e7801f8, 0x4e730b14,
-  0x4e6e13ff, 0x4e691cba, 0x4e642544, 0x4e5f2d9e, 0x4e5a35c7, 0x4e553dc1,
-    0x4e50458a, 0x4e4b4d22,
-  0x4e46548b, 0x4e415bc3, 0x4e3c62cb, 0x4e3769a2, 0x4e32704a, 0x4e2d76c1,
-    0x4e287d08, 0x4e23831e,
-  0x4e1e8905, 0x4e198ebb, 0x4e149441, 0x4e0f9997, 0x4e0a9ebd, 0x4e05a3b2,
-    0x4e00a878, 0x4dfbad0d,
-  0x4df6b173, 0x4df1b5a8, 0x4decb9ad, 0x4de7bd82, 0x4de2c127, 0x4dddc49c,
-    0x4dd8c7e1, 0x4dd3caf6,
-  0x4dcecdda, 0x4dc9d08f, 0x4dc4d314, 0x4dbfd569, 0x4dbad78e, 0x4db5d983,
-    0x4db0db48, 0x4dabdcdd,
-  0x4da6de43, 0x4da1df78, 0x4d9ce07d, 0x4d97e153, 0x4d92e1f9, 0x4d8de26f,
-    0x4d88e2b5, 0x4d83e2cb,
-  0x4d7ee2b1, 0x4d79e268, 0x4d74e1ef, 0x4d6fe146, 0x4d6ae06d, 0x4d65df64,
-    0x4d60de2c, 0x4d5bdcc4,
-  0x4d56db2d, 0x4d51d965, 0x4d4cd76e, 0x4d47d547, 0x4d42d2f1, 0x4d3dd06b,
-    0x4d38cdb5, 0x4d33cad0,
-  0x4d2ec7bb, 0x4d29c476, 0x4d24c102, 0x4d1fbd5e, 0x4d1ab98b, 0x4d15b588,
-    0x4d10b155, 0x4d0bacf3,
-  0x4d06a862, 0x4d01a3a0, 0x4cfc9eb0, 0x4cf79990, 0x4cf29440, 0x4ced8ec1,
-    0x4ce88913, 0x4ce38335,
-  0x4cde7d28, 0x4cd976eb, 0x4cd4707f, 0x4ccf69e3, 0x4cca6318, 0x4cc55c1e,
-    0x4cc054f4, 0x4cbb4d9b,
-  0x4cb64613, 0x4cb13e5b, 0x4cac3674, 0x4ca72e5e, 0x4ca22619, 0x4c9d1da4,
-    0x4c981500, 0x4c930c2d,
-  0x4c8e032a, 0x4c88f9f8, 0x4c83f097, 0x4c7ee707, 0x4c79dd48, 0x4c74d359,
-    0x4c6fc93b, 0x4c6abeef,
-  0x4c65b473, 0x4c60a9c8, 0x4c5b9eed, 0x4c5693e4, 0x4c5188ac, 0x4c4c7d44,
-    0x4c4771ae, 0x4c4265e8,
-  0x4c3d59f3, 0x4c384dd0, 0x4c33417d, 0x4c2e34fb, 0x4c29284b, 0x4c241b6b,
-    0x4c1f0e5c, 0x4c1a011f,
-  0x4c14f3b2, 0x4c0fe617, 0x4c0ad84c, 0x4c05ca53, 0x4c00bc2b, 0x4bfbadd4,
-    0x4bf69f4e, 0x4bf19099,
-  0x4bec81b5, 0x4be772a3, 0x4be26362, 0x4bdd53f2, 0x4bd84453, 0x4bd33485,
-    0x4bce2488, 0x4bc9145d,
-  0x4bc40403, 0x4bbef37b, 0x4bb9e2c3, 0x4bb4d1dd, 0x4bafc0c8, 0x4baaaf85,
-    0x4ba59e12, 0x4ba08c72,
-  0x4b9b7aa2, 0x4b9668a4, 0x4b915677, 0x4b8c441c, 0x4b873192, 0x4b821ed9,
-    0x4b7d0bf2, 0x4b77f8dc,
-  0x4b72e598, 0x4b6dd225, 0x4b68be84, 0x4b63aab4, 0x4b5e96b6, 0x4b598289,
-    0x4b546e2d, 0x4b4f59a4,
-  0x4b4a44eb, 0x4b453005, 0x4b401aef, 0x4b3b05ac, 0x4b35f03a, 0x4b30da9a,
-    0x4b2bc4cb, 0x4b26aece,
-  0x4b2198a2, 0x4b1c8248, 0x4b176bc0, 0x4b12550a, 0x4b0d3e25, 0x4b082712,
-    0x4b030fd1, 0x4afdf861,
-  0x4af8e0c3, 0x4af3c8f7, 0x4aeeb0fd, 0x4ae998d4, 0x4ae4807d, 0x4adf67f8,
-    0x4ada4f45, 0x4ad53664,
-  0x4ad01d54, 0x4acb0417, 0x4ac5eaab, 0x4ac0d111, 0x4abbb749, 0x4ab69d53,
-    0x4ab1832f, 0x4aac68dc,
-  0x4aa74e5c, 0x4aa233ae, 0x4a9d18d1, 0x4a97fdc7, 0x4a92e28e, 0x4a8dc728,
-    0x4a88ab93, 0x4a838fd1,
-  0x4a7e73e0, 0x4a7957c2, 0x4a743b76, 0x4a6f1efc, 0x4a6a0253, 0x4a64e57d,
-    0x4a5fc879, 0x4a5aab48,
-  0x4a558de8, 0x4a50705a, 0x4a4b529f, 0x4a4634b6, 0x4a41169f, 0x4a3bf85a,
-    0x4a36d9e7, 0x4a31bb47,
-  0x4a2c9c79, 0x4a277d7d, 0x4a225e53, 0x4a1d3efc, 0x4a181f77, 0x4a12ffc4,
-    0x4a0ddfe4, 0x4a08bfd5,
-  0x4a039f9a, 0x49fe7f30, 0x49f95e99, 0x49f43dd4, 0x49ef1ce2, 0x49e9fbc2,
-    0x49e4da74, 0x49dfb8f9,
-  0x49da9750, 0x49d5757a, 0x49d05376, 0x49cb3145, 0x49c60ee6, 0x49c0ec59,
-    0x49bbc9a0, 0x49b6a6b8,
-  0x49b183a3, 0x49ac6061, 0x49a73cf1, 0x49a21954, 0x499cf589, 0x4997d191,
-    0x4992ad6c, 0x498d8919,
-  0x49886499, 0x49833fec, 0x497e1b11, 0x4978f609, 0x4973d0d3, 0x496eab70,
-    0x496985e0, 0x49646023,
-  0x495f3a38, 0x495a1420, 0x4954eddb, 0x494fc768, 0x494aa0c9, 0x494579fc,
-    0x49405302, 0x493b2bdb,
-  0x49360486, 0x4930dd05, 0x492bb556, 0x49268d7a, 0x49216571, 0x491c3d3b,
-    0x491714d8, 0x4911ec47,
-  0x490cc38a, 0x49079aa0, 0x49027188, 0x48fd4844, 0x48f81ed2, 0x48f2f534,
-    0x48edcb68, 0x48e8a170,
-  0x48e3774a, 0x48de4cf8, 0x48d92278, 0x48d3f7cc, 0x48ceccf3, 0x48c9a1ed,
-    0x48c476b9, 0x48bf4b59,
-  0x48ba1fcd, 0x48b4f413, 0x48afc82c, 0x48aa9c19, 0x48a56fd9, 0x48a0436c,
-    0x489b16d2, 0x4895ea0b,
-  0x4890bd18, 0x488b8ff8, 0x488662ab, 0x48813531, 0x487c078b, 0x4876d9b8,
-    0x4871abb8, 0x486c7d8c,
-  0x48674f33, 0x486220ad, 0x485cf1fa, 0x4857c31b, 0x48529410, 0x484d64d7,
-    0x48483572, 0x484305e1,
-  0x483dd623, 0x4838a638, 0x48337621, 0x482e45dd, 0x4829156d, 0x4823e4d0,
-    0x481eb407, 0x48198311,
-  0x481451ef, 0x480f20a0, 0x4809ef25, 0x4804bd7e, 0x47ff8baa, 0x47fa59a9,
-    0x47f5277d, 0x47eff523,
-  0x47eac29e, 0x47e58fec, 0x47e05d0e, 0x47db2a03, 0x47d5f6cc, 0x47d0c369,
-    0x47cb8fd9, 0x47c65c1d,
-  0x47c12835, 0x47bbf421, 0x47b6bfe0, 0x47b18b74, 0x47ac56da, 0x47a72215,
-    0x47a1ed24, 0x479cb806,
-  0x479782bc, 0x47924d46, 0x478d17a4, 0x4787e1d6, 0x4782abdb, 0x477d75b5,
-    0x47783f62, 0x477308e3,
-  0x476dd239, 0x47689b62, 0x4763645f, 0x475e2d30, 0x4758f5d5, 0x4753be4e,
-    0x474e869b, 0x47494ebc,
-  0x474416b1, 0x473ede7a, 0x4739a617, 0x47346d89, 0x472f34ce, 0x4729fbe7,
-    0x4724c2d5, 0x471f8996,
-  0x471a502c, 0x47151696, 0x470fdcd4, 0x470aa2e6, 0x470568cd, 0x47002e87,
-    0x46faf416, 0x46f5b979,
-  0x46f07eb0, 0x46eb43bc, 0x46e6089b, 0x46e0cd4f, 0x46db91d8, 0x46d65634,
-    0x46d11a65, 0x46cbde6a,
-  0x46c6a244, 0x46c165f1, 0x46bc2974, 0x46b6ecca, 0x46b1aff5, 0x46ac72f4,
-    0x46a735c8, 0x46a1f870,
-  0x469cbaed, 0x46977d3e, 0x46923f63, 0x468d015d, 0x4687c32c, 0x468284cf,
-    0x467d4646, 0x46780792,
-  0x4672c8b3, 0x466d89a8, 0x46684a71, 0x46630b0f, 0x465dcb82, 0x46588bc9,
-    0x46534be5, 0x464e0bd6,
-  0x4648cb9b, 0x46438b35, 0x463e4aa3, 0x463909e7, 0x4633c8fe, 0x462e87eb,
-    0x462946ac, 0x46240542,
-  0x461ec3ad, 0x461981ec, 0x46144001, 0x460efde9, 0x4609bba7, 0x4604793a,
-    0x45ff36a1, 0x45f9f3dd,
-  0x45f4b0ee, 0x45ef6dd4, 0x45ea2a8f, 0x45e4e71f, 0x45dfa383, 0x45da5fbc,
-    0x45d51bcb, 0x45cfd7ae,
-  0x45ca9366, 0x45c54ef3, 0x45c00a55, 0x45bac58c, 0x45b58098, 0x45b03b79,
-    0x45aaf630, 0x45a5b0bb,
-  0x45a06b1b, 0x459b2550, 0x4595df5a, 0x45909939, 0x458b52ee, 0x45860c77,
-    0x4580c5d6, 0x457b7f0a,
-  0x45763813, 0x4570f0f1, 0x456ba9a4, 0x4566622c, 0x45611a8a, 0x455bd2bc,
-    0x45568ac4, 0x455142a2,
-  0x454bfa54, 0x4546b1dc, 0x45416939, 0x453c206b, 0x4536d773, 0x45318e4f,
-    0x452c4502, 0x4526fb89,
-  0x4521b1e6, 0x451c6818, 0x45171e20, 0x4511d3fd, 0x450c89af, 0x45073f37,
-    0x4501f494, 0x44fca9c6,
-  0x44f75ecf, 0x44f213ac, 0x44ecc85f, 0x44e77ce7, 0x44e23145, 0x44dce579,
-    0x44d79982, 0x44d24d60,
-  0x44cd0114, 0x44c7b49e, 0x44c267fd, 0x44bd1b32, 0x44b7ce3c, 0x44b2811c,
-    0x44ad33d2, 0x44a7e65d,
-  0x44a298be, 0x449d4af5, 0x4497fd01, 0x4492aee3, 0x448d609b, 0x44881228,
-    0x4482c38b, 0x447d74c4,
-  0x447825d2, 0x4472d6b7, 0x446d8771, 0x44683801, 0x4462e866, 0x445d98a2,
-    0x445848b3, 0x4452f89b,
-  0x444da858, 0x444857ea, 0x44430753, 0x443db692, 0x443865a7, 0x44331491,
-    0x442dc351, 0x442871e8,
-  0x44232054, 0x441dce96, 0x44187caf, 0x44132a9d, 0x440dd861, 0x440885fc,
-    0x4403336c, 0x43fde0b2,
-  0x43f88dcf, 0x43f33ac1, 0x43ede78a, 0x43e89429, 0x43e3409d, 0x43ddece8,
-    0x43d8990a, 0x43d34501,
-  0x43cdf0ce, 0x43c89c72, 0x43c347eb, 0x43bdf33b, 0x43b89e62, 0x43b3495e,
-    0x43adf431, 0x43a89ed9,
-  0x43a34959, 0x439df3ae, 0x43989dda, 0x439347dc, 0x438df1b4, 0x43889b63,
-    0x438344e8, 0x437dee43,
-  0x43789775, 0x4373407d, 0x436de95b, 0x43689210, 0x43633a9c, 0x435de2fd,
-    0x43588b36, 0x43533344,
-  0x434ddb29, 0x434882e5, 0x43432a77, 0x433dd1e0, 0x4338791f, 0x43332035,
-    0x432dc721, 0x43286de4,
-  0x4323147d, 0x431dbaed, 0x43186133, 0x43130751, 0x430dad44, 0x4308530f,
-    0x4302f8b0, 0x42fd9e28,
-  0x42f84376, 0x42f2e89b, 0x42ed8d97, 0x42e83269, 0x42e2d713, 0x42dd7b93,
-    0x42d81fe9, 0x42d2c417,
-  0x42cd681b, 0x42c80bf6, 0x42c2afa8, 0x42bd5331, 0x42b7f690, 0x42b299c7,
-    0x42ad3cd4, 0x42a7dfb8,
-  0x42a28273, 0x429d2505, 0x4297c76e, 0x429269ae, 0x428d0bc4, 0x4287adb2,
-    0x42824f76, 0x427cf112,
-  0x42779285, 0x427233ce, 0x426cd4ef, 0x426775e6, 0x426216b5, 0x425cb75a,
-    0x425757d7, 0x4251f82b,
-  0x424c9856, 0x42473858, 0x4241d831, 0x423c77e1, 0x42371769, 0x4231b6c7,
-    0x422c55fd, 0x4226f50a,
-  0x422193ee, 0x421c32a9, 0x4216d13c, 0x42116fa5, 0x420c0de6, 0x4206abfe,
-    0x420149ee, 0x41fbe7b5,
-  0x41f68553, 0x41f122c8, 0x41ebc015, 0x41e65d39, 0x41e0fa35, 0x41db9707,
-    0x41d633b1, 0x41d0d033,
-  0x41cb6c8c, 0x41c608bc, 0x41c0a4c4, 0x41bb40a3, 0x41b5dc5a, 0x41b077e8,
-    0x41ab134e, 0x41a5ae8b,
-  0x41a049a0, 0x419ae48c, 0x41957f4f, 0x419019eb, 0x418ab45d, 0x41854ea8,
-    0x417fe8ca, 0x417a82c3,
-  0x41751c94, 0x416fb63d, 0x416a4fbd, 0x4164e916, 0x415f8245, 0x415a1b4d,
-    0x4154b42c, 0x414f4ce2,
-  0x4149e571, 0x41447dd7, 0x413f1615, 0x4139ae2b, 0x41344618, 0x412edddd,
-    0x4129757b, 0x41240cef,
-  0x411ea43c, 0x41193b61, 0x4113d25d, 0x410e6931, 0x4108ffdd, 0x41039661,
-    0x40fe2cbd, 0x40f8c2f1,
-  0x40f358fc, 0x40edeee0, 0x40e8849b, 0x40e31a2f, 0x40ddaf9b, 0x40d844de,
-    0x40d2d9f9, 0x40cd6eed,
-  0x40c803b8, 0x40c2985c, 0x40bd2cd8, 0x40b7c12b, 0x40b25557, 0x40ace95b,
-    0x40a77d37, 0x40a210eb,
-  0x409ca477, 0x409737dc, 0x4091cb18, 0x408c5e2d, 0x4086f11a, 0x408183df,
-    0x407c167c, 0x4076a8f1,
-  0x40713b3f, 0x406bcd65, 0x40665f63, 0x4060f13a, 0x405b82e9, 0x40561470,
-    0x4050a5cf, 0x404b3707,
-  0x4045c817, 0x404058ff, 0x403ae9c0, 0x40357a59, 0x40300acb, 0x402a9b15,
-    0x40252b37, 0x401fbb32,
-  0x401a4b05, 0x4014dab1, 0x400f6a35, 0x4009f992, 0x400488c7, 0x3fff17d5,
-    0x3ff9a6bb, 0x3ff4357a,
-  0x3feec411, 0x3fe95281, 0x3fe3e0c9, 0x3fde6eeb, 0x3fd8fce4, 0x3fd38ab6,
-    0x3fce1861, 0x3fc8a5e5,
-  0x3fc33341, 0x3fbdc076, 0x3fb84d83, 0x3fb2da6a, 0x3fad6729, 0x3fa7f3c0,
-    0x3fa28031, 0x3f9d0c7a,
-  0x3f97989c, 0x3f922496, 0x3f8cb06a, 0x3f873c16, 0x3f81c79b, 0x3f7c52f9,
-    0x3f76de30, 0x3f71693f,
-  0x3f6bf428, 0x3f667ee9, 0x3f610983, 0x3f5b93f6, 0x3f561e42, 0x3f50a867,
-    0x3f4b3265, 0x3f45bc3c,
-  0x3f4045ec, 0x3f3acf75, 0x3f3558d7, 0x3f2fe211, 0x3f2a6b25, 0x3f24f412,
-    0x3f1f7cd8, 0x3f1a0577,
-  0x3f148def, 0x3f0f1640, 0x3f099e6b, 0x3f04266e, 0x3efeae4a, 0x3ef93600,
-    0x3ef3bd8f, 0x3eee44f7,
-  0x3ee8cc38, 0x3ee35352, 0x3eddda46, 0x3ed86113, 0x3ed2e7b9, 0x3ecd6e38,
-    0x3ec7f491, 0x3ec27ac2,
-  0x3ebd00cd, 0x3eb786b2, 0x3eb20c6f, 0x3eac9206, 0x3ea71777, 0x3ea19cc1,
-    0x3e9c21e4, 0x3e96a6e0,
-  0x3e912bb6, 0x3e8bb065, 0x3e8634ee, 0x3e80b950, 0x3e7b3d8c, 0x3e75c1a1,
-    0x3e70458f, 0x3e6ac957,
-  0x3e654cf8, 0x3e5fd073, 0x3e5a53c8, 0x3e54d6f6, 0x3e4f59fe, 0x3e49dcdf,
-    0x3e445f99, 0x3e3ee22e,
-  0x3e39649c, 0x3e33e6e3, 0x3e2e6904, 0x3e28eaff, 0x3e236cd4, 0x3e1dee82,
-    0x3e18700a, 0x3e12f16b,
-  0x3e0d72a6, 0x3e07f3bb, 0x3e0274aa, 0x3dfcf572, 0x3df77615, 0x3df1f691,
-    0x3dec76e6, 0x3de6f716,
-  0x3de1771f, 0x3ddbf703, 0x3dd676c0, 0x3dd0f656, 0x3dcb75c7, 0x3dc5f512,
-    0x3dc07436, 0x3dbaf335,
-  0x3db5720d, 0x3daff0c0, 0x3daa6f4c, 0x3da4edb2, 0x3d9f6bf2, 0x3d99ea0d,
-    0x3d946801, 0x3d8ee5cf,
-  0x3d896377, 0x3d83e0f9, 0x3d7e5e56, 0x3d78db8c, 0x3d73589d, 0x3d6dd587,
-    0x3d68524c, 0x3d62ceeb,
-  0x3d5d4b64, 0x3d57c7b7, 0x3d5243e4, 0x3d4cbfeb, 0x3d473bcd, 0x3d41b789,
-    0x3d3c331f, 0x3d36ae8f,
-  0x3d3129da, 0x3d2ba4fe, 0x3d261ffd, 0x3d209ad7, 0x3d1b158a, 0x3d159018,
-    0x3d100a80, 0x3d0a84c3,
-  0x3d04fee0, 0x3cff78d7, 0x3cf9f2a9, 0x3cf46c55, 0x3ceee5db, 0x3ce95f3c,
-    0x3ce3d877, 0x3cde518d,
-  0x3cd8ca7d, 0x3cd34347, 0x3ccdbbed, 0x3cc8346c, 0x3cc2acc6, 0x3cbd24fb,
-    0x3cb79d0a, 0x3cb214f4,
-  0x3cac8cb8, 0x3ca70457, 0x3ca17bd0, 0x3c9bf324, 0x3c966a53, 0x3c90e15c,
-    0x3c8b5840, 0x3c85cefe,
-  0x3c804598, 0x3c7abc0c, 0x3c75325a, 0x3c6fa883, 0x3c6a1e87, 0x3c649466,
-    0x3c5f0a20, 0x3c597fb4,
-  0x3c53f523, 0x3c4e6a6d, 0x3c48df91, 0x3c435491, 0x3c3dc96b, 0x3c383e20,
-    0x3c32b2b0, 0x3c2d271b,
-  0x3c279b61, 0x3c220f81, 0x3c1c837d, 0x3c16f753, 0x3c116b04, 0x3c0bde91,
-    0x3c0651f8, 0x3c00c53a,
-  0x3bfb3857, 0x3bf5ab50, 0x3bf01e23, 0x3bea90d1, 0x3be5035a, 0x3bdf75bf,
-    0x3bd9e7fe, 0x3bd45a19,
-  0x3bcecc0e, 0x3bc93ddf, 0x3bc3af8b, 0x3bbe2112, 0x3bb89274, 0x3bb303b1,
-    0x3bad74c9, 0x3ba7e5bd,
-  0x3ba2568c, 0x3b9cc736, 0x3b9737bb, 0x3b91a81c, 0x3b8c1857, 0x3b86886e,
-    0x3b80f861, 0x3b7b682e,
-  0x3b75d7d7, 0x3b70475c, 0x3b6ab6bb, 0x3b6525f6, 0x3b5f950c, 0x3b5a03fe,
-    0x3b5472cb, 0x3b4ee173,
-  0x3b494ff7, 0x3b43be57, 0x3b3e2c91, 0x3b389aa8, 0x3b330899, 0x3b2d7666,
-    0x3b27e40f, 0x3b225193,
-  0x3b1cbef3, 0x3b172c2e, 0x3b119945, 0x3b0c0637, 0x3b067305, 0x3b00dfaf,
-    0x3afb4c34, 0x3af5b894,
-  0x3af024d1, 0x3aea90e9, 0x3ae4fcdc, 0x3adf68ac, 0x3ad9d457, 0x3ad43fdd,
-    0x3aceab40, 0x3ac9167e,
-  0x3ac38198, 0x3abdec8d, 0x3ab8575f, 0x3ab2c20c, 0x3aad2c95, 0x3aa796fa,
-    0x3aa2013a, 0x3a9c6b57,
-  0x3a96d54f, 0x3a913f23, 0x3a8ba8d3, 0x3a86125f, 0x3a807bc7, 0x3a7ae50a,
-    0x3a754e2a, 0x3a6fb726,
-  0x3a6a1ffd, 0x3a6488b1, 0x3a5ef140, 0x3a5959ab, 0x3a53c1f3, 0x3a4e2a16,
-    0x3a489216, 0x3a42f9f2,
-  0x3a3d61a9, 0x3a37c93d, 0x3a3230ad, 0x3a2c97f9, 0x3a26ff21, 0x3a216625,
-    0x3a1bcd05, 0x3a1633c1,
-  0x3a109a5a, 0x3a0b00cf, 0x3a056720, 0x39ffcd4d, 0x39fa3356, 0x39f4993c,
-    0x39eefefe, 0x39e9649c,
-  0x39e3ca17, 0x39de2f6d, 0x39d894a0, 0x39d2f9b0, 0x39cd5e9b, 0x39c7c363,
-    0x39c22808, 0x39bc8c89,
-  0x39b6f0e6, 0x39b1551f, 0x39abb935, 0x39a61d28, 0x39a080f6, 0x399ae4a2,
-    0x39954829, 0x398fab8e,
-  0x398a0ece, 0x398471ec, 0x397ed4e5, 0x397937bc, 0x39739a6e, 0x396dfcfe,
-    0x39685f6a, 0x3962c1b2,
-  0x395d23d7, 0x395785d9, 0x3951e7b8, 0x394c4973, 0x3946ab0a, 0x39410c7f,
-    0x393b6dd0, 0x3935cefd,
-  0x39303008, 0x392a90ef, 0x3924f1b3, 0x391f5254, 0x3919b2d1, 0x3914132b,
-    0x390e7362, 0x3908d376,
-  0x39033367, 0x38fd9334, 0x38f7f2de, 0x38f25266, 0x38ecb1ca, 0x38e7110a,
-    0x38e17028, 0x38dbcf23,
-  0x38d62dfb, 0x38d08caf, 0x38caeb41, 0x38c549af, 0x38bfa7fb, 0x38ba0623,
-    0x38b46429, 0x38aec20b,
-  0x38a91fcb, 0x38a37d67, 0x389ddae1, 0x38983838, 0x3892956c, 0x388cf27d,
-    0x38874f6b, 0x3881ac36,
-  0x387c08de, 0x38766564, 0x3870c1c6, 0x386b1e06, 0x38657a23, 0x385fd61d,
-    0x385a31f5, 0x38548daa,
-  0x384ee93b, 0x384944ab, 0x38439ff7, 0x383dfb21, 0x38385628, 0x3832b10d,
-    0x382d0bce, 0x3827666d,
-  0x3821c0ea, 0x381c1b44, 0x3816757b, 0x3810cf90, 0x380b2982, 0x38058351,
-    0x37ffdcfe, 0x37fa3688,
-  0x37f48ff0, 0x37eee936, 0x37e94259, 0x37e39b59, 0x37ddf437, 0x37d84cf2,
-    0x37d2a58b, 0x37ccfe02,
-  0x37c75656, 0x37c1ae87, 0x37bc0697, 0x37b65e84, 0x37b0b64e, 0x37ab0df6,
-    0x37a5657c, 0x379fbce0,
-  0x379a1421, 0x37946b40, 0x378ec23d, 0x37891917, 0x37836fcf, 0x377dc665,
-    0x37781cd9, 0x3772732a,
-  0x376cc959, 0x37671f66, 0x37617551, 0x375bcb1a, 0x375620c1, 0x37507645,
-    0x374acba7, 0x374520e7,
-  0x373f7606, 0x3739cb02, 0x37341fdc, 0x372e7493, 0x3728c929, 0x37231d9d,
-    0x371d71ef, 0x3717c61f,
-  0x37121a2d, 0x370c6e19, 0x3706c1e2, 0x3701158a, 0x36fb6910, 0x36f5bc75,
-    0x36f00fb7, 0x36ea62d7,
-  0x36e4b5d6, 0x36df08b2, 0x36d95b6d, 0x36d3ae06, 0x36ce007d, 0x36c852d2,
-    0x36c2a506, 0x36bcf718,
-  0x36b74908, 0x36b19ad6, 0x36abec82, 0x36a63e0d, 0x36a08f76, 0x369ae0bd,
-    0x369531e3, 0x368f82e7,
-  0x3689d3c9, 0x3684248a, 0x367e7529, 0x3678c5a7, 0x36731602, 0x366d663d,
-    0x3667b655, 0x3662064c,
-  0x365c5622, 0x3656a5d6, 0x3650f569, 0x364b44da, 0x36459429, 0x363fe357,
-    0x363a3264, 0x3634814f,
-  0x362ed019, 0x36291ec1, 0x36236d48, 0x361dbbad, 0x361809f1, 0x36125814,
-    0x360ca615, 0x3606f3f5,
-  0x360141b4, 0x35fb8f52, 0x35f5dcce, 0x35f02a28, 0x35ea7762, 0x35e4c47a,
-    0x35df1171, 0x35d95e47,
-  0x35d3aafc, 0x35cdf78f, 0x35c84401, 0x35c29052, 0x35bcdc82, 0x35b72891,
-    0x35b1747e, 0x35abc04b,
-  0x35a60bf6, 0x35a05781, 0x359aa2ea, 0x3594ee32, 0x358f3959, 0x3589845f,
-    0x3583cf44, 0x357e1a08,
-  0x357864ab, 0x3572af2d, 0x356cf98e, 0x356743ce, 0x35618ded, 0x355bd7eb,
-    0x355621c9, 0x35506b85,
-  0x354ab520, 0x3544fe9b, 0x353f47f5, 0x3539912e, 0x3533da46, 0x352e233d,
-    0x35286c14, 0x3522b4c9,
-  0x351cfd5e, 0x351745d2, 0x35118e26, 0x350bd658, 0x35061e6a, 0x3500665c,
-    0x34faae2c, 0x34f4f5dc,
-  0x34ef3d6b, 0x34e984da, 0x34e3cc28, 0x34de1355, 0x34d85a62, 0x34d2a14e,
-    0x34cce819, 0x34c72ec4,
-  0x34c1754e, 0x34bbbbb8, 0x34b60202, 0x34b0482a, 0x34aa8e33, 0x34a4d41a,
-    0x349f19e2, 0x34995f88,
-  0x3493a50f, 0x348dea75, 0x34882fba, 0x348274e0, 0x347cb9e4, 0x3476fec9,
-    0x3471438d, 0x346b8830,
-  0x3465ccb4, 0x34601117, 0x345a5559, 0x3454997c, 0x344edd7e, 0x34492160,
-    0x34436521, 0x343da8c3,
-  0x3437ec44, 0x34322fa5, 0x342c72e6, 0x3426b606, 0x3420f907, 0x341b3be7,
-    0x34157ea7, 0x340fc147,
-  0x340a03c7, 0x34044626, 0x33fe8866, 0x33f8ca86, 0x33f30c85, 0x33ed4e65,
-    0x33e79024, 0x33e1d1c4,
-  0x33dc1343, 0x33d654a2, 0x33d095e2, 0x33cad701, 0x33c51801, 0x33bf58e1,
-    0x33b999a0, 0x33b3da40,
-  0x33ae1ac0, 0x33a85b20, 0x33a29b60, 0x339cdb81, 0x33971b81, 0x33915b62,
-    0x338b9b22, 0x3385dac4,
-  0x33801a45, 0x337a59a6, 0x337498e8, 0x336ed80a, 0x3369170c, 0x336355ef,
-    0x335d94b2, 0x3357d355,
-  0x335211d8, 0x334c503c, 0x33468e80, 0x3340cca5, 0x333b0aaa, 0x3335488f,
-    0x332f8655, 0x3329c3fb,
-  0x33240182, 0x331e3ee9, 0x33187c31, 0x3312b959, 0x330cf661, 0x3307334a,
-    0x33017014, 0x32fbacbe,
-  0x32f5e948, 0x32f025b4, 0x32ea61ff, 0x32e49e2c, 0x32deda39, 0x32d91626,
-    0x32d351f5, 0x32cd8da4,
-  0x32c7c933, 0x32c204a3, 0x32bc3ff4, 0x32b67b26, 0x32b0b638, 0x32aaf12b,
-    0x32a52bff, 0x329f66b4,
-  0x3299a149, 0x3293dbbf, 0x328e1616, 0x3288504e, 0x32828a67, 0x327cc460,
-    0x3276fe3a, 0x327137f6,
-  0x326b7192, 0x3265ab0f, 0x325fe46c, 0x325a1dab, 0x325456cb, 0x324e8fcc,
-    0x3248c8ad, 0x32430170,
-  0x323d3a14, 0x32377298, 0x3231aafe, 0x322be345, 0x32261b6c, 0x32205375,
-    0x321a8b5f, 0x3214c32a,
-  0x320efad6, 0x32093263, 0x320369d2, 0x31fda121, 0x31f7d852, 0x31f20f64,
-    0x31ec4657, 0x31e67d2b,
-  0x31e0b3e0, 0x31daea77, 0x31d520ef, 0x31cf5748, 0x31c98d83, 0x31c3c39e,
-    0x31bdf99b, 0x31b82f7a,
-  0x31b2653a, 0x31ac9adb, 0x31a6d05d, 0x31a105c1, 0x319b3b06, 0x3195702d,
-    0x318fa535, 0x3189da1e,
-  0x31840ee9, 0x317e4395, 0x31787823, 0x3172ac92, 0x316ce0e3, 0x31671515,
-    0x31614929, 0x315b7d1e,
-  0x3155b0f5, 0x314fe4ae, 0x314a1848, 0x31444bc3, 0x313e7f21, 0x3138b260,
-    0x3132e580, 0x312d1882,
-  0x31274b66, 0x31217e2c, 0x311bb0d3, 0x3115e35c, 0x311015c6, 0x310a4813,
-    0x31047a41, 0x30feac51,
-  0x30f8de42, 0x30f31016, 0x30ed41cb, 0x30e77362, 0x30e1a4db, 0x30dbd636,
-    0x30d60772, 0x30d03891,
-  0x30ca6991, 0x30c49a74, 0x30becb38, 0x30b8fbde, 0x30b32c66, 0x30ad5cd0,
-    0x30a78d1c, 0x30a1bd4a,
-  0x309bed5a, 0x30961d4c, 0x30904d20, 0x308a7cd6, 0x3084ac6e, 0x307edbe9,
-    0x30790b45, 0x30733a83,
-  0x306d69a4, 0x306798a7, 0x3061c78b, 0x305bf652, 0x305624fb, 0x30505387,
-    0x304a81f4, 0x3044b044,
-  0x303ede76, 0x30390c8a, 0x30333a80, 0x302d6859, 0x30279614, 0x3021c3b1,
-    0x301bf131, 0x30161e93,
-  0x30104bd7, 0x300a78fe, 0x3004a607, 0x2ffed2f2, 0x2ff8ffc0, 0x2ff32c70,
-    0x2fed5902, 0x2fe78577,
-  0x2fe1b1cf, 0x2fdbde09, 0x2fd60a25, 0x2fd03624, 0x2fca6206, 0x2fc48dc9,
-    0x2fbeb970, 0x2fb8e4f9,
-  0x2fb31064, 0x2fad3bb3, 0x2fa766e3, 0x2fa191f7, 0x2f9bbced, 0x2f95e7c5,
-    0x2f901280, 0x2f8a3d1e,
-  0x2f84679f, 0x2f7e9202, 0x2f78bc48, 0x2f72e671, 0x2f6d107c, 0x2f673a6a,
-    0x2f61643b, 0x2f5b8def,
-  0x2f55b785, 0x2f4fe0ff, 0x2f4a0a5b, 0x2f44339a, 0x2f3e5cbb, 0x2f3885c0,
-    0x2f32aea8, 0x2f2cd772,
-  0x2f27001f, 0x2f2128af, 0x2f1b5122, 0x2f157979, 0x2f0fa1b2, 0x2f09c9ce,
-    0x2f03f1cd, 0x2efe19ae,
-  0x2ef84173, 0x2ef2691b, 0x2eec90a7, 0x2ee6b815, 0x2ee0df66, 0x2edb069a,
-    0x2ed52db1, 0x2ecf54ac,
-  0x2ec97b89, 0x2ec3a24a, 0x2ebdc8ee, 0x2eb7ef75, 0x2eb215df, 0x2eac3c2d,
-    0x2ea6625d, 0x2ea08871,
-  0x2e9aae68, 0x2e94d443, 0x2e8efa00, 0x2e891fa1, 0x2e834525, 0x2e7d6a8d,
-    0x2e778fd8, 0x2e71b506,
-  0x2e6bda17, 0x2e65ff0c, 0x2e6023e5, 0x2e5a48a0, 0x2e546d3f, 0x2e4e91c2,
-    0x2e48b628, 0x2e42da71,
-  0x2e3cfe9e, 0x2e3722ae, 0x2e3146a2, 0x2e2b6a79, 0x2e258e34, 0x2e1fb1d3,
-    0x2e19d554, 0x2e13f8ba,
-  0x2e0e1c03, 0x2e083f30, 0x2e026240, 0x2dfc8534, 0x2df6a80b, 0x2df0cac6,
-    0x2deaed65, 0x2de50fe8,
-  0x2ddf324e, 0x2dd95498, 0x2dd376c5, 0x2dcd98d7, 0x2dc7bacc, 0x2dc1dca4,
-    0x2dbbfe61, 0x2db62001,
-  0x2db04186, 0x2daa62ee, 0x2da4843a, 0x2d9ea569, 0x2d98c67d, 0x2d92e774,
-    0x2d8d084f, 0x2d87290f,
-  0x2d8149b2, 0x2d7b6a39, 0x2d758aa4, 0x2d6faaf3, 0x2d69cb26, 0x2d63eb3d,
-    0x2d5e0b38, 0x2d582b17,
-  0x2d524ada, 0x2d4c6a81, 0x2d468a0c, 0x2d40a97b, 0x2d3ac8ce, 0x2d34e805,
-    0x2d2f0721, 0x2d292620,
-  0x2d234504, 0x2d1d63cc, 0x2d178278, 0x2d11a108, 0x2d0bbf7d, 0x2d05ddd5,
-    0x2cfffc12, 0x2cfa1a33,
-  0x2cf43839, 0x2cee5622, 0x2ce873f0, 0x2ce291a2, 0x2cdcaf39, 0x2cd6ccb4,
-    0x2cd0ea13, 0x2ccb0756,
-  0x2cc5247e, 0x2cbf418b, 0x2cb95e7b, 0x2cb37b51, 0x2cad980a, 0x2ca7b4a8,
-    0x2ca1d12a, 0x2c9bed91,
-  0x2c9609dd, 0x2c90260d, 0x2c8a4221, 0x2c845e1a, 0x2c7e79f7, 0x2c7895b9,
-    0x2c72b160, 0x2c6ccceb,
-  0x2c66e85b, 0x2c6103af, 0x2c5b1ee8, 0x2c553a06, 0x2c4f5508, 0x2c496fef,
-    0x2c438abb, 0x2c3da56b,
-  0x2c37c000, 0x2c31da7a, 0x2c2bf4d8, 0x2c260f1c, 0x2c202944, 0x2c1a4351,
-    0x2c145d42, 0x2c0e7719,
-  0x2c0890d4, 0x2c02aa74, 0x2bfcc3f9, 0x2bf6dd63, 0x2bf0f6b1, 0x2beb0fe5,
-    0x2be528fd, 0x2bdf41fb,
-  0x2bd95add, 0x2bd373a4, 0x2bcd8c51, 0x2bc7a4e2, 0x2bc1bd58, 0x2bbbd5b3,
-    0x2bb5edf4, 0x2bb00619,
-  0x2baa1e23, 0x2ba43613, 0x2b9e4de7, 0x2b9865a1, 0x2b927d3f, 0x2b8c94c3,
-    0x2b86ac2c, 0x2b80c37a,
-  0x2b7adaae, 0x2b74f1c6, 0x2b6f08c4, 0x2b691fa6, 0x2b63366f, 0x2b5d4d1c,
-    0x2b5763ae, 0x2b517a26,
-  0x2b4b9083, 0x2b45a6c6, 0x2b3fbced, 0x2b39d2fa, 0x2b33e8ed, 0x2b2dfec5,
-    0x2b281482, 0x2b222a24,
-  0x2b1c3fac, 0x2b165519, 0x2b106a6c, 0x2b0a7fa4, 0x2b0494c2, 0x2afea9c5,
-    0x2af8bead, 0x2af2d37b,
-  0x2aece82f, 0x2ae6fcc8, 0x2ae11146, 0x2adb25aa, 0x2ad539f4, 0x2acf4e23,
-    0x2ac96238, 0x2ac37633,
-  0x2abd8a13, 0x2ab79dd8, 0x2ab1b184, 0x2aabc515, 0x2aa5d88b, 0x2a9febe8,
-    0x2a99ff2a, 0x2a941252,
-  0x2a8e255f, 0x2a883853, 0x2a824b2c, 0x2a7c5deb, 0x2a76708f, 0x2a70831a,
-    0x2a6a958a, 0x2a64a7e0,
-  0x2a5eba1c, 0x2a58cc3e, 0x2a52de46, 0x2a4cf033, 0x2a470207, 0x2a4113c0,
-    0x2a3b2560, 0x2a3536e5,
-  0x2a2f4850, 0x2a2959a1, 0x2a236ad9, 0x2a1d7bf6, 0x2a178cf9, 0x2a119de2,
-    0x2a0baeb2, 0x2a05bf67,
-  0x29ffd003, 0x29f9e084, 0x29f3f0ec, 0x29ee013a, 0x29e8116e, 0x29e22188,
-    0x29dc3188, 0x29d6416f,
-  0x29d0513b, 0x29ca60ee, 0x29c47087, 0x29be8007, 0x29b88f6c, 0x29b29eb8,
-    0x29acadea, 0x29a6bd02,
-  0x29a0cc01, 0x299adae6, 0x2994e9b1, 0x298ef863, 0x298906fb, 0x2983157a,
-    0x297d23df, 0x2977322a,
-  0x2971405b, 0x296b4e74, 0x29655c72, 0x295f6a57, 0x29597823, 0x295385d5,
-    0x294d936d, 0x2947a0ec,
-  0x2941ae52, 0x293bbb9e, 0x2935c8d1, 0x292fd5ea, 0x2929e2ea, 0x2923efd0,
-    0x291dfc9d, 0x29180951,
-  0x291215eb, 0x290c226c, 0x29062ed4, 0x29003b23, 0x28fa4758, 0x28f45374,
-    0x28ee5f76, 0x28e86b5f,
-  0x28e27730, 0x28dc82e6, 0x28d68e84, 0x28d09a09, 0x28caa574, 0x28c4b0c6,
-    0x28bebbff, 0x28b8c71f,
-  0x28b2d226, 0x28acdd13, 0x28a6e7e8, 0x28a0f2a3, 0x289afd46, 0x289507cf,
-    0x288f123f, 0x28891c97,
-  0x288326d5, 0x287d30fa, 0x28773b07, 0x287144fa, 0x286b4ed5, 0x28655896,
-    0x285f623f, 0x28596bce,
-  0x28537545, 0x284d7ea3, 0x284787e8, 0x28419114, 0x283b9a28, 0x2835a322,
-    0x282fac04, 0x2829b4cd,
-  0x2823bd7d, 0x281dc615, 0x2817ce93, 0x2811d6f9, 0x280bdf46, 0x2805e77b,
-    0x27ffef97, 0x27f9f79a,
-  0x27f3ff85, 0x27ee0756, 0x27e80f10, 0x27e216b0, 0x27dc1e38, 0x27d625a8,
-    0x27d02cff, 0x27ca343d,
-  0x27c43b63, 0x27be4270, 0x27b84965, 0x27b25041, 0x27ac5705, 0x27a65db0,
-    0x27a06443, 0x279a6abd,
-  0x2794711f, 0x278e7768, 0x27887d99, 0x278283b2, 0x277c89b3, 0x27768f9b,
-    0x2770956a, 0x276a9b21,
-  0x2764a0c0, 0x275ea647, 0x2758abb6, 0x2752b10c, 0x274cb64a, 0x2746bb6f,
-    0x2740c07d, 0x273ac572,
-  0x2734ca4f, 0x272ecf14, 0x2728d3c0, 0x2722d855, 0x271cdcd1, 0x2716e136,
-    0x2710e582, 0x270ae9b6,
-  0x2704edd2, 0x26fef1d5, 0x26f8f5c1, 0x26f2f995, 0x26ecfd51, 0x26e700f5,
-    0x26e10480, 0x26db07f4,
-  0x26d50b50, 0x26cf0e94, 0x26c911c0, 0x26c314d4, 0x26bd17d0, 0x26b71ab4,
-    0x26b11d80, 0x26ab2034,
-  0x26a522d1, 0x269f2556, 0x269927c3, 0x26932a18, 0x268d2c55, 0x26872e7b,
-    0x26813088, 0x267b327e,
-  0x2675345d, 0x266f3623, 0x266937d2, 0x26633969, 0x265d3ae9, 0x26573c50,
-    0x26513da1, 0x264b3ed9,
-  0x26453ffa, 0x263f4103, 0x263941f5, 0x263342cf, 0x262d4392, 0x2627443d,
-    0x262144d0, 0x261b454c,
-  0x261545b0, 0x260f45fd, 0x26094633, 0x26034651, 0x25fd4657, 0x25f74646,
-    0x25f1461e, 0x25eb45de,
-  0x25e54587, 0x25df4519, 0x25d94493, 0x25d343f6, 0x25cd4341, 0x25c74276,
-    0x25c14192, 0x25bb4098,
-  0x25b53f86, 0x25af3e5d, 0x25a93d1d, 0x25a33bc6, 0x259d3a57, 0x259738d1,
-    0x25913734, 0x258b3580,
-  0x258533b5, 0x257f31d2, 0x25792fd8, 0x25732dc8, 0x256d2ba0, 0x25672961,
-    0x2561270b, 0x255b249e,
-  0x2555221a, 0x254f1f7e, 0x25491ccc, 0x25431a03, 0x253d1723, 0x2537142c,
-    0x2531111e, 0x252b0df9,
-  0x25250abd, 0x251f076a, 0x25190400, 0x25130080, 0x250cfce8, 0x2506f93a,
-    0x2500f574, 0x24faf198,
-  0x24f4eda6, 0x24eee99c, 0x24e8e57c, 0x24e2e144, 0x24dcdcf6, 0x24d6d892,
-    0x24d0d416, 0x24cacf84,
-  0x24c4cadb, 0x24bec61c, 0x24b8c146, 0x24b2bc59, 0x24acb756, 0x24a6b23b,
-    0x24a0ad0b, 0x249aa7c4,
-  0x2494a266, 0x248e9cf1, 0x24889766, 0x248291c5, 0x247c8c0d, 0x2476863e,
-    0x24708059, 0x246a7a5e,
-  0x2464744c, 0x245e6e23, 0x245867e4, 0x2452618f, 0x244c5b24, 0x244654a1,
-    0x24404e09, 0x243a475a,
-  0x24344095, 0x242e39ba, 0x242832c8, 0x24222bc0, 0x241c24a1, 0x24161d6d,
-    0x24101622, 0x240a0ec1,
-  0x24040749, 0x23fdffbc, 0x23f7f818, 0x23f1f05e, 0x23ebe88e, 0x23e5e0a7,
-    0x23dfd8ab, 0x23d9d098,
-  0x23d3c86f, 0x23cdc031, 0x23c7b7dc, 0x23c1af71, 0x23bba6f0, 0x23b59e59,
-    0x23af95ac, 0x23a98ce8,
-  0x23a3840f, 0x239d7b20, 0x2397721b, 0x23916900, 0x238b5fcf, 0x23855688,
-    0x237f4d2b, 0x237943b9,
-  0x23733a30, 0x236d3092, 0x236726dd, 0x23611d13, 0x235b1333, 0x2355093e,
-    0x234eff32, 0x2348f511,
-  0x2342eada, 0x233ce08d, 0x2336d62a, 0x2330cbb2, 0x232ac124, 0x2324b680,
-    0x231eabc7, 0x2318a0f8,
-  0x23129613, 0x230c8b19, 0x23068009, 0x230074e3, 0x22fa69a8, 0x22f45e57,
-    0x22ee52f1, 0x22e84775,
-  0x22e23be4, 0x22dc303d, 0x22d62480, 0x22d018ae, 0x22ca0cc7, 0x22c400ca,
-    0x22bdf4b8, 0x22b7e890,
-  0x22b1dc53, 0x22abd001, 0x22a5c399, 0x229fb71b, 0x2299aa89, 0x22939de1,
-    0x228d9123, 0x22878451,
-  0x22817769, 0x227b6a6c, 0x22755d59, 0x226f5032, 0x226942f5, 0x226335a2,
-    0x225d283b, 0x22571abe,
-  0x22510d2d, 0x224aff86, 0x2244f1c9, 0x223ee3f8, 0x2238d612, 0x2232c816,
-    0x222cba06, 0x2226abe0,
-  0x22209da5, 0x221a8f56, 0x221480f1, 0x220e7277, 0x220863e8, 0x22025544,
-    0x21fc468b, 0x21f637be,
-  0x21f028db, 0x21ea19e3, 0x21e40ad7, 0x21ddfbb5, 0x21d7ec7f, 0x21d1dd34,
-    0x21cbcdd3, 0x21c5be5e,
-  0x21bfaed5, 0x21b99f36, 0x21b38f83, 0x21ad7fba, 0x21a76fdd, 0x21a15fec,
-    0x219b4fe5, 0x21953fca,
-  0x218f2f9a, 0x21891f55, 0x21830efc, 0x217cfe8e, 0x2176ee0b, 0x2170dd74,
-    0x216accc8, 0x2164bc08,
-  0x215eab33, 0x21589a49, 0x2152894b, 0x214c7838, 0x21466710, 0x214055d4,
-    0x213a4484, 0x2134331f,
-  0x212e21a6, 0x21281018, 0x2121fe76, 0x211becbf, 0x2115daf4, 0x210fc914,
-    0x2109b720, 0x2103a518,
-  0x20fd92fb, 0x20f780ca, 0x20f16e84, 0x20eb5c2b, 0x20e549bd, 0x20df373a,
-    0x20d924a4, 0x20d311f9,
-  0x20ccff3a, 0x20c6ec66, 0x20c0d97f, 0x20bac683, 0x20b4b373, 0x20aea04f,
-    0x20a88d17, 0x20a279ca,
-  0x209c666a, 0x209652f5, 0x20903f6c, 0x208a2bcf, 0x2084181e, 0x207e0459,
-    0x2077f080, 0x2071dc93,
-  0x206bc892, 0x2065b47d, 0x205fa054, 0x20598c17, 0x205377c6, 0x204d6361,
-    0x20474ee8, 0x20413a5b,
-  0x203b25bb, 0x20351106, 0x202efc3e, 0x2028e761, 0x2022d271, 0x201cbd6d,
-    0x2016a856, 0x2010932a,
-  0x200a7deb, 0x20046898, 0x1ffe5331, 0x1ff83db6, 0x1ff22828, 0x1fec1286,
-    0x1fe5fcd0, 0x1fdfe707,
-  0x1fd9d12a, 0x1fd3bb39, 0x1fcda535, 0x1fc78f1d, 0x1fc178f1, 0x1fbb62b2,
-    0x1fb54c60, 0x1faf35f9,
-  0x1fa91f80, 0x1fa308f2, 0x1f9cf252, 0x1f96db9d, 0x1f90c4d5, 0x1f8aadfa,
-    0x1f84970b, 0x1f7e8009,
-  0x1f7868f4, 0x1f7251ca, 0x1f6c3a8e, 0x1f66233e, 0x1f600bdb, 0x1f59f465,
-    0x1f53dcdb, 0x1f4dc53d,
-  0x1f47ad8d, 0x1f4195c9, 0x1f3b7df2, 0x1f356608, 0x1f2f4e0a, 0x1f2935f9,
-    0x1f231dd5, 0x1f1d059e,
-  0x1f16ed54, 0x1f10d4f6, 0x1f0abc85, 0x1f04a401, 0x1efe8b6a, 0x1ef872c0,
-    0x1ef25a03, 0x1eec4132,
-  0x1ee6284f, 0x1ee00f58, 0x1ed9f64f, 0x1ed3dd32, 0x1ecdc402, 0x1ec7aac0,
-    0x1ec1916a, 0x1ebb7802,
-  0x1eb55e86, 0x1eaf44f8, 0x1ea92b56, 0x1ea311a2, 0x1e9cf7db, 0x1e96de01,
-    0x1e90c414, 0x1e8aaa14,
-  0x1e849001, 0x1e7e75dc, 0x1e785ba3, 0x1e724158, 0x1e6c26fa, 0x1e660c8a,
-    0x1e5ff206, 0x1e59d770,
-  0x1e53bcc7, 0x1e4da20c, 0x1e47873d, 0x1e416c5d, 0x1e3b5169, 0x1e353663,
-    0x1e2f1b4a, 0x1e29001e,
-  0x1e22e4e0, 0x1e1cc990, 0x1e16ae2c, 0x1e1092b6, 0x1e0a772e, 0x1e045b93,
-    0x1dfe3fe6, 0x1df82426,
-  0x1df20853, 0x1debec6f, 0x1de5d077, 0x1ddfb46e, 0x1dd99851, 0x1dd37c23,
-    0x1dcd5fe2, 0x1dc7438e,
-  0x1dc12729, 0x1dbb0ab0, 0x1db4ee26, 0x1daed189, 0x1da8b4da, 0x1da29819,
-    0x1d9c7b45, 0x1d965e5f,
-  0x1d904167, 0x1d8a245c, 0x1d840740, 0x1d7dea11, 0x1d77ccd0, 0x1d71af7d,
-    0x1d6b9217, 0x1d6574a0,
-  0x1d5f5716, 0x1d59397a, 0x1d531bcc, 0x1d4cfe0d, 0x1d46e03a, 0x1d40c256,
-    0x1d3aa460, 0x1d348658,
-  0x1d2e683e, 0x1d284a12, 0x1d222bd3, 0x1d1c0d83, 0x1d15ef21, 0x1d0fd0ad,
-    0x1d09b227, 0x1d03938f,
-  0x1cfd74e5, 0x1cf7562a, 0x1cf1375c, 0x1ceb187d, 0x1ce4f98c, 0x1cdeda89,
-    0x1cd8bb74, 0x1cd29c4d,
-  0x1ccc7d15, 0x1cc65dca, 0x1cc03e6e, 0x1cba1f01, 0x1cb3ff81, 0x1caddff0,
-    0x1ca7c04d, 0x1ca1a099,
-  0x1c9b80d3, 0x1c9560fb, 0x1c8f4112, 0x1c892117, 0x1c83010a, 0x1c7ce0ec,
-    0x1c76c0bc, 0x1c70a07b,
-  0x1c6a8028, 0x1c645fc3, 0x1c5e3f4d, 0x1c581ec6, 0x1c51fe2d, 0x1c4bdd83,
-    0x1c45bcc7, 0x1c3f9bf9,
-  0x1c397b1b, 0x1c335a2b, 0x1c2d3929, 0x1c271816, 0x1c20f6f2, 0x1c1ad5bc,
-    0x1c14b475, 0x1c0e931d,
-  0x1c0871b4, 0x1c025039, 0x1bfc2ead, 0x1bf60d0f, 0x1befeb60, 0x1be9c9a1,
-    0x1be3a7cf, 0x1bdd85ed,
-  0x1bd763fa, 0x1bd141f5, 0x1bcb1fdf, 0x1bc4fdb8, 0x1bbedb80, 0x1bb8b937,
-    0x1bb296dc, 0x1bac7471,
-  0x1ba651f5, 0x1ba02f67, 0x1b9a0cc8, 0x1b93ea19, 0x1b8dc758, 0x1b87a487,
-    0x1b8181a4, 0x1b7b5eb0,
-  0x1b753bac, 0x1b6f1897, 0x1b68f570, 0x1b62d239, 0x1b5caef1, 0x1b568b98,
-    0x1b50682e, 0x1b4a44b3,
-  0x1b442127, 0x1b3dfd8b, 0x1b37d9de, 0x1b31b620, 0x1b2b9251, 0x1b256e71,
-    0x1b1f4a81, 0x1b192680,
-  0x1b13026e, 0x1b0cde4c, 0x1b06ba19, 0x1b0095d5, 0x1afa7180, 0x1af44d1b,
-    0x1aee28a6, 0x1ae8041f,
-  0x1ae1df88, 0x1adbbae1, 0x1ad59629, 0x1acf7160, 0x1ac94c87, 0x1ac3279d,
-    0x1abd02a3, 0x1ab6dd98,
-  0x1ab0b87d, 0x1aaa9352, 0x1aa46e16, 0x1a9e48c9, 0x1a98236c, 0x1a91fdff,
-    0x1a8bd881, 0x1a85b2f3,
-  0x1a7f8d54, 0x1a7967a6, 0x1a7341e6, 0x1a6d1c17, 0x1a66f637, 0x1a60d047,
-    0x1a5aaa47, 0x1a548436,
-  0x1a4e5e15, 0x1a4837e4, 0x1a4211a3, 0x1a3beb52, 0x1a35c4f0, 0x1a2f9e7e,
-    0x1a2977fc, 0x1a23516a,
-  0x1a1d2ac8, 0x1a170416, 0x1a10dd53, 0x1a0ab681, 0x1a048f9e, 0x19fe68ac,
-    0x19f841a9, 0x19f21a96,
-  0x19ebf374, 0x19e5cc41, 0x19dfa4fe, 0x19d97dac, 0x19d35649, 0x19cd2ed7,
-    0x19c70754, 0x19c0dfc2,
-  0x19bab820, 0x19b4906e, 0x19ae68ac, 0x19a840da, 0x19a218f9, 0x199bf107,
-    0x1995c906, 0x198fa0f5,
-  0x198978d4, 0x198350a4, 0x197d2864, 0x19770014, 0x1970d7b4, 0x196aaf45,
-    0x196486c6, 0x195e5e37,
-  0x19583599, 0x19520ceb, 0x194be42d, 0x1945bb60, 0x193f9283, 0x19396997,
-    0x1933409b, 0x192d178f,
-  0x1926ee74, 0x1920c54a, 0x191a9c10, 0x191472c6, 0x190e496d, 0x19082005,
-    0x1901f68d, 0x18fbcd06,
-  0x18f5a36f, 0x18ef79c9, 0x18e95014, 0x18e3264f, 0x18dcfc7b, 0x18d6d297,
-    0x18d0a8a4, 0x18ca7ea2,
-  0x18c45491, 0x18be2a70, 0x18b80040, 0x18b1d601, 0x18ababb2, 0x18a58154,
-    0x189f56e8, 0x18992c6b,
-  0x189301e0, 0x188cd746, 0x1886ac9c, 0x188081e4, 0x187a571c, 0x18742c45,
-    0x186e015f, 0x1867d66a,
-  0x1861ab66, 0x185b8053, 0x18555530, 0x184f29ff, 0x1848febf, 0x1842d370,
-    0x183ca812, 0x18367ca5,
-  0x18305129, 0x182a259e, 0x1823fa04, 0x181dce5b, 0x1817a2a4, 0x181176dd,
-    0x180b4b08, 0x18051f24,
-  0x17fef331, 0x17f8c72f, 0x17f29b1e, 0x17ec6eff, 0x17e642d1, 0x17e01694,
-    0x17d9ea49, 0x17d3bdee,
-  0x17cd9186, 0x17c7650e, 0x17c13888, 0x17bb0bf3, 0x17b4df4f, 0x17aeb29d,
-    0x17a885dc, 0x17a2590d,
-  0x179c2c2f, 0x1795ff42, 0x178fd247, 0x1789a53d, 0x17837825, 0x177d4afe,
-    0x17771dc9, 0x1770f086,
-  0x176ac333, 0x176495d3, 0x175e6864, 0x17583ae7, 0x17520d5b, 0x174bdfc1,
-    0x1745b218, 0x173f8461,
-  0x1739569c, 0x173328c8, 0x172cfae6, 0x1726ccf6, 0x17209ef8, 0x171a70eb,
-    0x171442d0, 0x170e14a7,
-  0x1707e670, 0x1701b82a, 0x16fb89d6, 0x16f55b74, 0x16ef2d04, 0x16e8fe86,
-    0x16e2cff9, 0x16dca15f,
-  0x16d672b6, 0x16d043ff, 0x16ca153a, 0x16c3e667, 0x16bdb787, 0x16b78898,
-    0x16b1599b, 0x16ab2a90,
-  0x16a4fb77, 0x169ecc50, 0x16989d1b, 0x16926dd8, 0x168c3e87, 0x16860f29,
-    0x167fdfbc, 0x1679b042,
-  0x167380ba, 0x166d5123, 0x1667217f, 0x1660f1ce, 0x165ac20e, 0x16549241,
-    0x164e6266, 0x1648327d,
-  0x16420286, 0x163bd282, 0x1635a270, 0x162f7250, 0x16294222, 0x162311e7,
-    0x161ce19e, 0x1616b148,
-  0x161080e4, 0x160a5072, 0x16041ff3, 0x15fdef66, 0x15f7becc, 0x15f18e24,
-    0x15eb5d6e, 0x15e52cab,
-  0x15defbdb, 0x15d8cafd, 0x15d29a11, 0x15cc6918, 0x15c63812, 0x15c006fe,
-    0x15b9d5dd, 0x15b3a4ae,
-  0x15ad7372, 0x15a74228, 0x15a110d2, 0x159adf6e, 0x1594adfc, 0x158e7c7d,
-    0x15884af1, 0x15821958,
-  0x157be7b1, 0x1575b5fe, 0x156f843c, 0x1569526e, 0x15632093, 0x155ceeaa,
-    0x1556bcb4, 0x15508ab1,
-  0x154a58a1, 0x15442683, 0x153df459, 0x1537c221, 0x15318fdd, 0x152b5d8b,
-    0x15252b2c, 0x151ef8c0,
-  0x1518c648, 0x151293c2, 0x150c612f, 0x15062e8f, 0x14fffbe2, 0x14f9c928,
-    0x14f39662, 0x14ed638e,
-  0x14e730ae, 0x14e0fdc0, 0x14dacac6, 0x14d497bf, 0x14ce64ab, 0x14c8318a,
-    0x14c1fe5c, 0x14bbcb22,
-  0x14b597da, 0x14af6486, 0x14a93125, 0x14a2fdb8, 0x149cca3e, 0x149696b7,
-    0x14906323, 0x148a2f82,
-  0x1483fbd5, 0x147dc81c, 0x14779455, 0x14716082, 0x146b2ca3, 0x1464f8b7,
-    0x145ec4be, 0x145890b9,
-  0x14525ca7, 0x144c2888, 0x1445f45d, 0x143fc026, 0x14398be2, 0x14335792,
-    0x142d2335, 0x1426eecb,
-  0x1420ba56, 0x141a85d3, 0x14145145, 0x140e1caa, 0x1407e803, 0x1401b34f,
-    0x13fb7e8f, 0x13f549c3,
-  0x13ef14ea, 0x13e8e005, 0x13e2ab14, 0x13dc7616, 0x13d6410d, 0x13d00bf7,
-    0x13c9d6d4, 0x13c3a1a6,
-  0x13bd6c6b, 0x13b73725, 0x13b101d2, 0x13aacc73, 0x13a49707, 0x139e6190,
-    0x13982c0d, 0x1391f67d,
-  0x138bc0e1, 0x13858b3a, 0x137f5586, 0x13791fc6, 0x1372e9fb, 0x136cb423,
-    0x13667e3f, 0x13604850,
-  0x135a1254, 0x1353dc4c, 0x134da639, 0x1347701a, 0x134139ee, 0x133b03b7,
-    0x1334cd74, 0x132e9725,
-  0x132860ca, 0x13222a64, 0x131bf3f2, 0x1315bd73, 0x130f86ea, 0x13095054,
-    0x130319b3, 0x12fce305,
-  0x12f6ac4d, 0x12f07588, 0x12ea3eb8, 0x12e407dc, 0x12ddd0f4, 0x12d79a01,
-    0x12d16303, 0x12cb2bf8,
-  0x12c4f4e2, 0x12bebdc1, 0x12b88693, 0x12b24f5b, 0x12ac1817, 0x12a5e0c7,
-    0x129fa96c, 0x12997205,
-  0x12933a93, 0x128d0315, 0x1286cb8c, 0x128093f7, 0x127a5c57, 0x127424ac,
-    0x126decf5, 0x1267b533,
-  0x12617d66, 0x125b458d, 0x12550da9, 0x124ed5ba, 0x12489dbf, 0x124265b9,
-    0x123c2da8, 0x1235f58b,
-  0x122fbd63, 0x12298530, 0x12234cf2, 0x121d14a9, 0x1216dc54, 0x1210a3f5,
-    0x120a6b8a, 0x12043314,
-  0x11fdfa93, 0x11f7c207, 0x11f18970, 0x11eb50cd, 0x11e51820, 0x11dedf68,
-    0x11d8a6a4, 0x11d26dd6,
-  0x11cc34fc, 0x11c5fc18, 0x11bfc329, 0x11b98a2e, 0x11b35129, 0x11ad1819,
-    0x11a6defe, 0x11a0a5d8,
-  0x119a6ca7, 0x1194336b, 0x118dfa25, 0x1187c0d3, 0x11818777, 0x117b4e10,
-    0x1175149e, 0x116edb22,
-  0x1168a19b, 0x11626809, 0x115c2e6c, 0x1155f4c4, 0x114fbb12, 0x11498156,
-    0x1143478e, 0x113d0dbc,
-  0x1136d3df, 0x113099f8, 0x112a6006, 0x11242609, 0x111dec02, 0x1117b1f0,
-    0x111177d4, 0x110b3dad,
-  0x1105037c, 0x10fec940, 0x10f88efa, 0x10f254a9, 0x10ec1a4e, 0x10e5dfe8,
-    0x10dfa578, 0x10d96afe,
-  0x10d33079, 0x10ccf5ea, 0x10c6bb50, 0x10c080ac, 0x10ba45fe, 0x10b40b45,
-    0x10add082, 0x10a795b5,
-  0x10a15ade, 0x109b1ffc, 0x1094e510, 0x108eaa1a, 0x10886f19, 0x1082340f,
-    0x107bf8fa, 0x1075bddb,
-  0x106f82b2, 0x1069477f, 0x10630c41, 0x105cd0fa, 0x105695a8, 0x10505a4d,
-    0x104a1ee7, 0x1043e377,
-  0x103da7fd, 0x10376c79, 0x103130ec, 0x102af554, 0x1024b9b2, 0x101e7e06,
-    0x10184251, 0x10120691,
-  0x100bcac7, 0x10058ef4, 0xfff5317, 0xff91730, 0xff2db3e, 0xfec9f44,
-    0xfe6633f, 0xfe02730,
-  0xfd9eb18, 0xfd3aef6, 0xfcd72ca, 0xfc73695, 0xfc0fa55, 0xfbabe0c, 0xfb481ba,
-    0xfae455d,
-  0xfa808f7, 0xfa1cc87, 0xf9b900e, 0xf95538b, 0xf8f16fe, 0xf88da68, 0xf829dc8,
-    0xf7c611f,
-  0xf76246c, 0xf6fe7af, 0xf69aae9, 0xf636e1a, 0xf5d3141, 0xf56f45e, 0xf50b773,
-    0xf4a7a7d,
-  0xf443d7e, 0xf3e0076, 0xf37c365, 0xf318649, 0xf2b4925, 0xf250bf7, 0xf1ecec0,
-    0xf189180,
-  0xf125436, 0xf0c16e3, 0xf05d987, 0xeff9c21, 0xef95eb2, 0xef3213a, 0xeece3b9,
-    0xee6a62f,
-  0xee0689b, 0xeda2afe, 0xed3ed58, 0xecdafa9, 0xec771f1, 0xec1342f, 0xebaf665,
-    0xeb4b891,
-  0xeae7ab4, 0xea83ccf, 0xea1fee0, 0xe9bc0e8, 0xe9582e7, 0xe8f44dd, 0xe8906cb,
-    0xe82c8af,
-  0xe7c8a8a, 0xe764c5c, 0xe700e26, 0xe69cfe6, 0xe63919e, 0xe5d534d, 0xe5714f3,
-    0xe50d690,
-  0xe4a9824, 0xe4459af, 0xe3e1b32, 0xe37dcac, 0xe319e1d, 0xe2b5f85, 0xe2520e5,
-    0xe1ee23c,
-  0xe18a38a, 0xe1264cf, 0xe0c260c, 0xe05e740, 0xdffa86b, 0xdf9698e, 0xdf32aa8,
-    0xdecebba,
-  0xde6acc3, 0xde06dc3, 0xdda2ebb, 0xdd3efab, 0xdcdb091, 0xdc77170, 0xdc13245,
-    0xdbaf313,
-  0xdb4b3d7, 0xdae7494, 0xda83548, 0xda1f5f3, 0xd9bb696, 0xd957731, 0xd8f37c3,
-    0xd88f84d,
-  0xd82b8cf, 0xd7c7948, 0xd7639b9, 0xd6ffa22, 0xd69ba82, 0xd637ada, 0xd5d3b2a,
-    0xd56fb71,
-  0xd50bbb1, 0xd4a7be8, 0xd443c17, 0xd3dfc3e, 0xd37bc5c, 0xd317c73, 0xd2b3c81,
-    0xd24fc87,
-  0xd1ebc85, 0xd187c7b, 0xd123c69, 0xd0bfc4f, 0xd05bc2d, 0xcff7c02, 0xcf93bd0,
-    0xcf2fb96,
-  0xcecbb53, 0xce67b09, 0xce03ab7, 0xcd9fa5d, 0xcd3b9fb, 0xccd7991, 0xcc7391f,
-    0xcc0f8a5,
-  0xcbab824, 0xcb4779a, 0xcae3709, 0xca7f670, 0xca1b5cf, 0xc9b7526, 0xc953475,
-    0xc8ef3bd,
-  0xc88b2fd, 0xc827235, 0xc7c3166, 0xc75f08f, 0xc6fafb0, 0xc696ec9, 0xc632ddb,
-    0xc5cece5,
-  0xc56abe8, 0xc506ae3, 0xc4a29d6, 0xc43e8c2, 0xc3da7a6, 0xc376683, 0xc312558,
-    0xc2ae425,
-  0xc24a2eb, 0xc1e61aa, 0xc182061, 0xc11df11, 0xc0b9db9, 0xc055c5a, 0xbff1af3,
-    0xbf8d985,
-  0xbf29810, 0xbec5693, 0xbe6150f, 0xbdfd383, 0xbd991f0, 0xbd35056, 0xbcd0eb5,
-    0xbc6cd0c,
-  0xbc08b5c, 0xbba49a5, 0xbb407e7, 0xbadc621, 0xba78454, 0xba14280, 0xb9b00a5,
-    0xb94bec2,
-  0xb8e7cd9, 0xb883ae8, 0xb81f8f0, 0xb7bb6f2, 0xb7574ec, 0xb6f32df, 0xb68f0cb,
-    0xb62aeaf,
-  0xb5c6c8d, 0xb562a64, 0xb4fe834, 0xb49a5fd, 0xb4363bf, 0xb3d217a, 0xb36df2e,
-    0xb309cdb,
-  0xb2a5a81, 0xb241820, 0xb1dd5b9, 0xb17934b, 0xb1150d5, 0xb0b0e59, 0xb04cbd6,
-    0xafe894d,
-  0xaf846bc, 0xaf20425, 0xaebc187, 0xae57ee2, 0xadf3c37, 0xad8f985, 0xad2b6cc,
-    0xacc740c,
-  0xac63146, 0xabfee79, 0xab9aba6, 0xab368cc, 0xaad25eb, 0xaa6e304, 0xaa0a016,
-    0xa9a5d22,
-  0xa941a27, 0xa8dd725, 0xa87941d, 0xa81510f, 0xa7b0dfa, 0xa74cadf, 0xa6e87bd,
-    0xa684495,
-  0xa620166, 0xa5bbe31, 0xa557af5, 0xa4f37b3, 0xa48f46b, 0xa42b11d, 0xa3c6dc8,
-    0xa362a6d,
-  0xa2fe70b, 0xa29a3a3, 0xa236035, 0xa1d1cc1, 0xa16d946, 0xa1095c6, 0xa0a523f,
-    0xa040eb1,
-  0x9fdcb1e, 0x9f78784, 0x9f143e5, 0x9eb003f, 0x9e4bc93, 0x9de78e1, 0x9d83529,
-    0x9d1f16b,
-  0x9cbada7, 0x9c569dc, 0x9bf260c, 0x9b8e236, 0x9b29e59, 0x9ac5a77, 0x9a6168f,
-    0x99fd2a0,
-  0x9998eac, 0x9934ab2, 0x98d06b2, 0x986c2ac, 0x9807ea1, 0x97a3a8f, 0x973f678,
-    0x96db25a,
-  0x9676e37, 0x9612a0e, 0x95ae5e0, 0x954a1ab, 0x94e5d71, 0x9481931, 0x941d4eb,
-    0x93b90a0,
-  0x9354c4f, 0x92f07f8, 0x928c39b, 0x9227f39, 0x91c3ad2, 0x915f664, 0x90fb1f1,
-    0x9096d79,
-  0x90328fb, 0x8fce477, 0x8f69fee, 0x8f05b5f, 0x8ea16cb, 0x8e3d231, 0x8dd8d92,
-    0x8d748ed,
-  0x8d10443, 0x8cabf93, 0x8c47ade, 0x8be3624, 0x8b7f164, 0x8b1ac9f, 0x8ab67d4,
-    0x8a52304,
-  0x89ede2f, 0x8989955, 0x8925475, 0x88c0f90, 0x885caa5, 0x87f85b5, 0x87940c1,
-    0x872fbc6,
-  0x86cb6c7, 0x86671c2, 0x8602cb9, 0x859e7aa, 0x853a296, 0x84d5d7d, 0x847185e,
-    0x840d33b,
-  0x83a8e12, 0x83448e5, 0x82e03b2, 0x827be7a, 0x821793e, 0x81b33fc, 0x814eeb5,
-    0x80ea969,
-  0x8086419, 0x8021ec3, 0x7fbd968, 0x7f59409, 0x7ef4ea4, 0x7e9093b, 0x7e2c3cd,
-    0x7dc7e5a,
-  0x7d638e2, 0x7cff365, 0x7c9ade4, 0x7c3685d, 0x7bd22d2, 0x7b6dd42, 0x7b097ad,
-    0x7aa5214,
-  0x7a40c76, 0x79dc6d3, 0x797812b, 0x7913b7f, 0x78af5ce, 0x784b019, 0x77e6a5e,
-    0x77824a0,
-  0x771dedc, 0x76b9914, 0x7655347, 0x75f0d76, 0x758c7a1, 0x75281c6, 0x74c3be7,
-    0x745f604,
-  0x73fb01c, 0x7396a30, 0x733243f, 0x72cde4a, 0x7269851, 0x7205253, 0x71a0c50,
-    0x713c64a,
-  0x70d803f, 0x7073a2f, 0x700f41b, 0x6faae03, 0x6f467e7, 0x6ee21c6, 0x6e7dba1,
-    0x6e19578,
-  0x6db4f4a, 0x6d50919, 0x6cec2e3, 0x6c87ca9, 0x6c2366a, 0x6bbf028, 0x6b5a9e1,
-    0x6af6396,
-  0x6a91d47, 0x6a2d6f4, 0x69c909d, 0x6964a42, 0x69003e3, 0x689bd80, 0x6837718,
-    0x67d30ad,
-  0x676ea3d, 0x670a3ca, 0x66a5d53, 0x66416d8, 0x65dd058, 0x65789d5, 0x651434e,
-    0x64afcc3,
-  0x644b634, 0x63e6fa2, 0x638290b, 0x631e271, 0x62b9bd3, 0x6255531, 0x61f0e8b,
-    0x618c7e1,
-  0x6128134, 0x60c3a83, 0x605f3ce, 0x5ffad15, 0x5f96659, 0x5f31f99, 0x5ecd8d6,
-    0x5e6920e,
-  0x5e04b43, 0x5da0475, 0x5d3bda3, 0x5cd76cd, 0x5c72ff4, 0x5c0e917, 0x5baa237,
-    0x5b45b53,
-  0x5ae146b, 0x5a7cd80, 0x5a18692, 0x59b3fa0, 0x594f8aa, 0x58eb1b2, 0x5886ab5,
-    0x58223b6,
-  0x57bdcb3, 0x57595ac, 0x56f4ea2, 0x5690795, 0x562c085, 0x55c7971, 0x556325a,
-    0x54feb3f,
-  0x549a422, 0x5435d01, 0x53d15dd, 0x536ceb5, 0x530878a, 0x52a405d, 0x523f92c,
-    0x51db1f7,
-  0x5176ac0, 0x5112385, 0x50adc48, 0x5049507, 0x4fe4dc3, 0x4f8067c, 0x4f1bf32,
-    0x4eb77e5,
-  0x4e53095, 0x4dee942, 0x4d8a1ec, 0x4d25a93, 0x4cc1337, 0x4c5cbd8, 0x4bf8476,
-    0x4b93d11,
-  0x4b2f5a9, 0x4acae3e, 0x4a666d1, 0x4a01f60, 0x499d7ed, 0x4939077, 0x48d48fe,
-    0x4870182,
-  0x480ba04, 0x47a7282, 0x4742afe, 0x46de377, 0x4679bee, 0x4615461, 0x45b0cd2,
-    0x454c541,
-  0x44e7dac, 0x4483615, 0x441ee7c, 0x43ba6df, 0x4355f40, 0x42f179f, 0x428cffb,
-    0x4228854,
-  0x41c40ab, 0x415f8ff, 0x40fb151, 0x40969a0, 0x40321ed, 0x3fcda37, 0x3f6927f,
-    0x3f04ac4,
-  0x3ea0307, 0x3e3bb48, 0x3dd7386, 0x3d72bc2, 0x3d0e3fb, 0x3ca9c32, 0x3c45467,
-    0x3be0c99,
-  0x3b7c4c9, 0x3b17cf7, 0x3ab3523, 0x3a4ed4c, 0x39ea573, 0x3985d97, 0x39215ba,
-    0x38bcdda,
-  0x38585f8, 0x37f3e14, 0x378f62e, 0x372ae46, 0x36c665b, 0x3661e6f, 0x35fd680,
-    0x3598e8f,
-  0x353469c, 0x34cfea8, 0x346b6b1, 0x3406eb8, 0x33a26bd, 0x333dec0, 0x32d96c1,
-    0x3274ec0,
-  0x32106bd, 0x31abeb9, 0x31476b2, 0x30e2ea9, 0x307e69f, 0x3019e93, 0x2fb5684,
-    0x2f50e74,
-  0x2eec663, 0x2e87e4f, 0x2e2363a, 0x2dbee22, 0x2d5a609, 0x2cf5def, 0x2c915d2,
-    0x2c2cdb4,
-  0x2bc8594, 0x2b63d73, 0x2aff54f, 0x2a9ad2a, 0x2a36504, 0x29d1cdc, 0x296d4b2,
-    0x2908c87,
-  0x28a445a, 0x283fc2b, 0x27db3fb, 0x2776bc9, 0x2712396, 0x26adb62, 0x264932b,
-    0x25e4af4,
-  0x25802bb, 0x251ba80, 0x24b7244, 0x2452a07, 0x23ee1c8, 0x2389988, 0x2325147,
-    0x22c0904,
-  0x225c0bf, 0x21f787a, 0x2193033, 0x212e7eb, 0x20c9fa1, 0x2065757, 0x2000f0b,
-    0x1f9c6be,
-  0x1f37e6f, 0x1ed3620, 0x1e6edcf, 0x1e0a57d, 0x1da5d2a, 0x1d414d6, 0x1cdcc80,
-    0x1c7842a,
-  0x1c13bd2, 0x1baf37a, 0x1b4ab20, 0x1ae62c5, 0x1a81a69, 0x1a1d20c, 0x19b89ae,
-    0x1954150,
-  0x18ef8f0, 0x188b08f, 0x182682d, 0x17c1fcb, 0x175d767, 0x16f8f03, 0x169469d,
-    0x162fe37,
-  0x15cb5d0, 0x1566d68, 0x15024ff, 0x149dc96, 0x143942b, 0x13d4bc0, 0x1370354,
-    0x130bae7,
-  0x12a727a, 0x1242a0c, 0x11de19d, 0x117992e, 0x11150be, 0x10b084d, 0x104bfdb,
-    0xfe7769,
-  0xf82ef6, 0xf1e683, 0xeb9e0f, 0xe5559b, 0xdf0d26, 0xd8c4b0, 0xd27c3a,
-    0xcc33c3,
-  0xc5eb4c, 0xbfa2d5, 0xb95a5d, 0xb311e4, 0xacc96b, 0xa680f2, 0xa03878,
-    0x99effe,
-  0x93a784, 0x8d5f09, 0x87168e, 0x80ce12, 0x7a8597, 0x743d1a, 0x6df49e,
-    0x67ac21,
-  0x6163a5, 0x5b1b27, 0x54d2aa, 0x4e8a2c, 0x4841af, 0x41f931, 0x3bb0b3,
-    0x356835,
-  0x2f1fb6, 0x28d738, 0x228eb9, 0x1c463b, 0x15fdbc, 0xfb53d, 0x96cbe, 0x3243f,
-
-};
-
-/**    
- * @brief  Initialization function for the Q31 DCT4/IDCT4.   
- * @param[in,out] *S         points to an instance of Q31 DCT4/IDCT4 structure.   
- * @param[in]     *S_RFFT    points to an instance of Q31 RFFT/RIFFT structure   
- * @param[in]     *S_CFFT    points to an instance of Q31 CFFT/CIFFT structure   
- * @param[in]     N          length of the DCT4.   
- * @param[in]     Nby2       half of the length of the DCT4.   
- * @param[in]     normalize  normalizing factor.   
- * @return		  arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.   
- * \par Normalizing factor:    
- * The normalizing factor is sqrt(2/N), which depends on the size of transform N.    
- * Normalizing factors in 1.31 format are mentioned in the table below for different DCT sizes:    
- * \image html dct4NormalizingQ31Table.gif    
- */
-
-arm_status arm_dct4_init_q31(
-  arm_dct4_instance_q31 * S,
-  arm_rfft_instance_q31 * S_RFFT,
-  arm_cfft_radix4_instance_q31 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  q31_t normalize)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /* Initializing the pointer array with the weight table base addresses of different lengths */
-  q31_t *twiddlePtr[4] = { (q31_t *) WeightsQ31_128, (q31_t *) WeightsQ31_512,
-    (q31_t *) WeightsQ31_2048, (q31_t *) WeightsQ31_8192
-  };
-
-  /* Initializing the pointer array with the cos factor table base addresses of different lengths */
-  q31_t *pCosFactor[4] =
-    { (q31_t *) cos_factorsQ31_128, (q31_t *) cos_factorsQ31_512,
-    (q31_t *) cos_factorsQ31_2048, (q31_t *) cos_factorsQ31_8192
-  };
-
-  /* Initialize the DCT4 length */
-  S->N = N;
-
-  /* Initialize the half of DCT4 length */
-  S->Nby2 = Nby2;
-
-  /* Initialize the DCT4 Normalizing factor */
-  S->normalize = normalize;
-
-  /* Initialize Real FFT Instance */
-  S->pRfft = S_RFFT;
-
-  /* Initialize Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  switch (N)
-  {
-    /* Initialize the table modifier values */
-  case 8192u:
-    S->pTwiddle = twiddlePtr[3];
-    S->pCosFactor = pCosFactor[3];
-    break;
-  case 2048u:
-    S->pTwiddle = twiddlePtr[2];
-    S->pCosFactor = pCosFactor[2];
-    break;
-  case 512u:
-    S->pTwiddle = twiddlePtr[1];
-    S->pCosFactor = pCosFactor[1];
-    break;
-  case 128u:
-    S->pTwiddle = twiddlePtr[0];
-    S->pCosFactor = pCosFactor[0];
-    break;
-  default:
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-
-  /* Initialize the RFFT/RIFFT Function */
-  arm_rfft_init_q31(S->pRfft,  S->N, 0, 1);
-
-  /* return the status of DCT4 Init function */
-  return (status);
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q15.c
deleted file mode 100644
index 38131d5a..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q15.c
+++ /dev/null
@@ -1,394 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_q15.c    
-*    
-* Description:	Processing function of DCT4 & IDCT4 Q15.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 DCT4/IDCT4.   
- * @param[in]       *S             points to an instance of the Q15 DCT4 structure.   
- * @param[in]       *pState        points to state buffer.   
- * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.   
- * @return none.   
- *     
- * \par Input an output formats:    
- * Internally inputs are downscaled in the RFFT process function to avoid overflows.    
- * Number of bits downscaled, depends on the size of the transform.    
- * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:     
- *    
- * \image html dct4FormatsQ15Table.gif    
- */
-
-void arm_dct4_q15(
-  const arm_dct4_instance_q15 * S,
-  q15_t * pState,
-  q15_t * pInlineBuffer)
-{
-  uint32_t i;                                    /* Loop counter */
-  q15_t *weights = S->pTwiddle;                  /* Pointer to the Weights table */
-  q15_t *cosFact = S->pCosFactor;                /* Pointer to the cos factors table */
-  q15_t *pS1, *pS2, *pbuff;                      /* Temporary pointers for input buffer and pState buffer */
-  q15_t in;                                      /* Temporary variable */
-
-
-  /* DCT4 computation involves DCT2 (which is calculated using RFFT)    
-   * along with some pre-processing and post-processing.    
-   * Computational procedure is explained as follows:    
-   * (a) Pre-processing involves multiplying input with cos factor,    
-   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))    
-   *              where,    
-   *                 r(n) -- output of preprocessing    
-   *                 u(n) -- input to preprocessing(actual Source buffer)    
-   * (b) Calculation of DCT2 using FFT is divided into three steps:    
-   *                  Step1: Re-ordering of even and odd elements of input.    
-   *                  Step2: Calculating FFT of the re-ordered input.    
-   *                  Step3: Taking the real part of the product of FFT output and weights.    
-   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:    
-   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *                        where,    
-   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output    
-   * (d) Multiplying the output with the normalizing factor sqrt(2/N).    
-   */
-
-        /*-------- Pre-processing ------------*/
-  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
-  arm_mult_q15(pInlineBuffer, cosFact, pInlineBuffer, S->N);
-  arm_shift_q15(pInlineBuffer, 1, pInlineBuffer, S->N);
-
-  /* ----------------------------------------------------------------    
-   * Step1: Re-ordering of even and odd elements as    
-   *             pState[i] =  pInlineBuffer[2*i] and    
-   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2    
-   ---------------------------------------------------------------------*/
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
-  pS2 = pState + (S->N - 1u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
-  i = (uint32_t) S->Nby2 >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = (uint32_t) S->N >> 2u;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.    
-   * Compute 4 outputs at a time */
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_q15(S->pRfft, pInlineBuffer, pState);
-
- /*----------------------------------------------------------------------    
-  *  Step3: Multiply the FFT output with the weights.    
-  *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N);
-
-  /* The output of complex multiplication is in 3.13 format.    
-   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
-  arm_shift_q15(pState, 2, pState, S->N * 2);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
-  i = ((uint32_t) S->N - 1u) >> 2u;
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ >> 1u;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  i = ((uint32_t) S->N - 1u) % 0x4u;
-
-  while(i > 0u)
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-
-   /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = (uint32_t) S->N >> 2u;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
-
-    in = *pbuff;
-    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
-
-    in = *pbuff;
-    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
-
-    in = *pbuff;
-    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Initializing the loop counter to N/2 */
-  i = (uint32_t) S->Nby2;
-
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter */
-  i = (uint32_t) S->N;
-
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_q15(S->pRfft, pInlineBuffer, pState);
-
- /*----------------------------------------------------------------------    
-  *  Step3: Multiply the FFT output with the weights.    
-  *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N);
-
-  /* The output of complex multiplication is in 3.13 format.    
-   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
-  arm_shift_q15(pState, 2, pState, S->N * 2);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* Initializing the loop counter */
-  i = ((uint32_t) S->N - 1u);
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ >> 1u;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  do
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-   /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter */
-  i = (uint32_t) S->N;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q31.c
deleted file mode 100644
index b8ec1518..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q31.c
+++ /dev/null
@@ -1,395 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_q31.c    
-*    
-* Description:	Processing function of DCT4 & IDCT4 Q31.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 DCT4/IDCT4.   
- * @param[in]       *S             points to an instance of the Q31 DCT4 structure.   
- * @param[in]       *pState        points to state buffer.   
- * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.   
- * @return none.   
- * \par Input an output formats:    
- * Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process,    
- * as the conversion from DCT2 to DCT4 involves one subtraction.    
- * Internally inputs are downscaled in the RFFT process function to avoid overflows.    
- * Number of bits downscaled, depends on the size of the transform.    
- * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:     
- *    
- * \image html dct4FormatsQ31Table.gif    
- */
-
-void arm_dct4_q31(
-  const arm_dct4_instance_q31 * S,
-  q31_t * pState,
-  q31_t * pInlineBuffer)
-{
-  uint16_t i;                                    /* Loop counter */
-  q31_t *weights = S->pTwiddle;                  /* Pointer to the Weights table */
-  q31_t *cosFact = S->pCosFactor;                /* Pointer to the cos factors table */
-  q31_t *pS1, *pS2, *pbuff;                      /* Temporary pointers for input buffer and pState buffer */
-  q31_t in;                                      /* Temporary variable */
-
-
-  /* DCT4 computation involves DCT2 (which is calculated using RFFT)    
-   * along with some pre-processing and post-processing.    
-   * Computational procedure is explained as follows:    
-   * (a) Pre-processing involves multiplying input with cos factor,    
-   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))    
-   *              where,    
-   *                 r(n) -- output of preprocessing    
-   *                 u(n) -- input to preprocessing(actual Source buffer)    
-   * (b) Calculation of DCT2 using FFT is divided into three steps:    
-   *                  Step1: Re-ordering of even and odd elements of input.    
-   *                  Step2: Calculating FFT of the re-ordered input.    
-   *                  Step3: Taking the real part of the product of FFT output and weights.    
-   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:    
-   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *                        where,    
-   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output    
-   * (d) Multiplying the output with the normalizing factor sqrt(2/N).    
-   */
-
-        /*-------- Pre-processing ------------*/
-  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
-  arm_mult_q31(pInlineBuffer, cosFact, pInlineBuffer, S->N);
-  arm_shift_q31(pInlineBuffer, 1, pInlineBuffer, S->N);
-
-  /* ----------------------------------------------------------------    
-   * Step1: Re-ordering of even and odd elements as    
-   *             pState[i] =  pInlineBuffer[2*i] and    
-   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2    
-   ---------------------------------------------------------------------*/
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
-  pS2 = pState + (S->N - 1u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
-  i = S->Nby2 >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = S->N >> 2u;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.    
-   * Compute 4 outputs at a time */
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_q31(S->pRfft, pInlineBuffer, pState);
-
-  /*----------------------------------------------------------------------    
-   *  Step3: Multiply the FFT output with the weights.    
-   *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N);
-
-  /* The output of complex multiplication is in 3.29 format.    
-   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
-  arm_shift_q31(pState, 2, pState, S->N * 2);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
-  i = (S->N - 1u) >> 2u;
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ >> 1u;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  i = (S->N - 1u) % 0x4u;
-
-  while(i > 0u)
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-
-        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = S->N >> 2u;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
-
-    in = *pbuff;
-    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
-
-    in = *pbuff;
-    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
-
-    in = *pbuff;
-    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Initializing the loop counter to N/2 */
-  i = S->Nby2;
-
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter */
-  i = S->N;
-
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_q31(S->pRfft, pInlineBuffer, pState);
-
-  /*----------------------------------------------------------------------    
-   *  Step3: Multiply the FFT output with the weights.    
-   *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N);
-
-  /* The output of complex multiplication is in 3.29 format.    
-   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
-  arm_shift_q31(pState, 2, pState, S->N * 2);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ >> 1u;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  /* Initializing the loop counter */
-  i = (S->N - 1u);
-
-  while(i > 0u)
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-
-        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter */
-  i = S->N;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_f32.c
deleted file mode 100644
index b72f8fd9..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_f32.c
+++ /dev/null
@@ -1,329 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_f32.c    
-*    
-* Description:	RFFT & RIFFT Floating point process function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-extern void arm_radix4_butterfly_f32(
-    float32_t * pSrc,
-    uint16_t fftLen,
-    float32_t * pCoef,
-    uint16_t twidCoefModifier);
-
-extern void arm_radix4_butterfly_inverse_f32(
-    float32_t * pSrc,
-    uint16_t fftLen,
-    float32_t * pCoef,
-    uint16_t twidCoefModifier,
-    float32_t onebyfftLen);
-
-extern void arm_bitreversal_f32(
-    float32_t * pSrc,
-    uint16_t fftSize,
-    uint16_t bitRevFactor,
-    uint16_t * pBitRevTab);
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/*--------------------------------------------------------------------    
- *		Internal functions prototypes    
- *--------------------------------------------------------------------*/
-
-void arm_split_rfft_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pATable,
-  float32_t * pBTable,
-  float32_t * pDst,
-  uint32_t modifier);
-void arm_split_rifft_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pATable,
-  float32_t * pBTable,
-  float32_t * pDst,
-  uint32_t modifier);
-
-/**    
- * @addtogroup RealFFT    
- * @{    
- */
-
-/**    
- * @brief Processing function for the floating-point RFFT/RIFFT.   
- * @deprecated Do not use this function.  It has been superceded by \ref arm_rfft_fast_f32 and will be removed
- * in the future.
- * @param[in]  *S    points to an instance of the floating-point RFFT/RIFFT structure.   
- * @param[in]  *pSrc points to the input buffer.   
- * @param[out] *pDst points to the output buffer.   
- * @return none.   
- */
-
-void arm_rfft_f32(
-  const arm_rfft_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst)
-{
-  const arm_cfft_radix4_instance_f32 *S_CFFT = S->pCfft;
-
-
-  /* Calculation of Real IFFT of input */
-  if(S->ifftFlagR == 1u)
-  {
-    /*  Real IFFT core process */
-    arm_split_rifft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                        S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-
-
-    /* Complex radix-4 IFFT process */
-    arm_radix4_butterfly_inverse_f32(pDst, S_CFFT->fftLen,
-                                     S_CFFT->pTwiddle,
-                                     S_CFFT->twidCoefModifier,
-                                     S_CFFT->onebyfftLen);
-
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
-    {
-      arm_bitreversal_f32(pDst, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
-    }
-  }
-  else
-  {
-
-    /* Calculation of RFFT of input */
-
-    /* Complex radix-4 FFT process */
-    arm_radix4_butterfly_f32(pSrc, S_CFFT->fftLen,
-                             S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
-
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
-    {
-      arm_bitreversal_f32(pSrc, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
-    }
-
-
-    /*  Real FFT core process */
-    arm_split_rfft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                       S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-  }
-
-}
-
-/**    
-   * @} end of RealFFT group    
-   */
-
-/**    
- * @brief  Core Real FFT process    
- * @param[in]   *pSrc 				points to the input buffer.    
- * @param[in]   fftLen  			length of FFT.    
- * @param[in]   *pATable 			points to the twiddle Coef A buffer.    
- * @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
- * @param[out]  *pDst 				points to the output buffer.    
- * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.    
- */
-
-void arm_split_rfft_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pATable,
-  float32_t * pBTable,
-  float32_t * pDst,
-  uint32_t modifier)
-{
-  uint32_t i;                                    /* Loop Counter */
-  float32_t outR, outI;                          /* Temporary variables for output */
-  float32_t *pCoefA, *pCoefB;                    /* Temporary pointers for twiddle factors */
-  float32_t CoefA1, CoefA2, CoefB1;              /* Temporary variables for twiddle coefficients */
-  float32_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4u * fftLen) - 1u];      /* temp pointers for output buffer */
-  float32_t *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2u * fftLen) - 1u];      /* temp pointers for input buffer */
-
-  /* Init coefficient pointers */
-  pCoefA = &pATable[modifier * 2u];
-  pCoefB = &pBTable[modifier * 2u];
-
-  i = fftLen - 1u;
-
-  while(i > 0u)
-  {
-    /*    
-       outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-       + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-     */
-
-    /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
-
-    /* read pATable[2 * i] */
-    CoefA1 = *pCoefA++;
-    /* pATable[2 * i + 1] */
-    CoefA2 = *pCoefA;
-
-    /* pSrc[2 * i] * pATable[2 * i] */
-    outR = *pSrc1 * CoefA1;
-    /* pSrc[2 * i] * CoefA2 */
-    outI = *pSrc1++ * CoefA2;
-
-    /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
-    outR -= (*pSrc1 + *pSrc2) * CoefA2;
-    /* pSrc[2 * i + 1] * CoefA1 */
-    outI += *pSrc1++ * CoefA1;
-
-    CoefB1 = *pCoefB;
-
-    /* pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
-    outI -= *pSrc2-- * CoefB1;
-    /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
-    outI -= *pSrc2 * CoefA2;
-
-    /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
-    outR += *pSrc2-- * CoefB1;
-
-    /* write output */
-    *pDst1++ = outR;
-    *pDst1++ = outI;
-
-    /* write complex conjugate output */
-    *pDst2-- = -outI;
-    *pDst2-- = outR;
-
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (modifier * 2u);
-    pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
-    i--;
-
-  }
-
-  pDst[2u * fftLen] = pSrc[0] - pSrc[1];
-  pDst[(2u * fftLen) + 1u] = 0.0f;
-
-  pDst[0] = pSrc[0] + pSrc[1];
-  pDst[1] = 0.0f;
-
-}
-
-
-/**    
- * @brief  Core Real IFFT process    
- * @param[in]   *pSrc 				points to the input buffer.    
- * @param[in]   fftLen  			length of FFT.   
- * @param[in]   *pATable 			points to the twiddle Coef A buffer.   
- * @param[in]   *pBTable 			points to the twiddle Coef B buffer.   
- * @param[out]  *pDst 				points to the output buffer.   
- * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.    
- * @return none.    
- */
-
-void arm_split_rifft_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pATable,
-  float32_t * pBTable,
-  float32_t * pDst,
-  uint32_t modifier)
-{
-  float32_t outR, outI;                          /* Temporary variables for output */
-  float32_t *pCoefA, *pCoefB;                    /* Temporary pointers for twiddle factors */
-  float32_t CoefA1, CoefA2, CoefB1;              /* Temporary variables for twiddle coefficients */
-  float32_t *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2u * fftLen) + 1u];
-
-  pCoefA = &pATable[0];
-  pCoefB = &pBTable[0];
-
-  while(fftLen > 0u)
-  {
-    /*    
-       outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-
-       outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);    
-
-     */
-
-    CoefA1 = *pCoefA++;
-    CoefA2 = *pCoefA;
-
-    /* outR = (pSrc[2 * i] * CoefA1 */
-    outR = *pSrc1 * CoefA1;
-
-    /* - pSrc[2 * i] * CoefA2 */
-    outI = -(*pSrc1++) * CoefA2;
-
-    /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
-    outR += (*pSrc1 + *pSrc2) * CoefA2;
-
-    /* pSrc[2 * i + 1] * CoefA1 */
-    outI += (*pSrc1++) * CoefA1;
-
-    CoefB1 = *pCoefB;
-
-    /* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
-    outI -= *pSrc2-- * CoefB1;
-
-    /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
-    outR += *pSrc2 * CoefB1;
-
-    /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
-    outI += *pSrc2-- * CoefA2;
-
-    /* write output */
-    *pDst++ = outR;
-    *pDst++ = outI;
-
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (modifier * 2u);
-    pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
-    /* Decrement loop count */
-    fftLen--;
-  }
-
-}
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_f32.c
deleted file mode 100644
index d4970b6b..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_f32.c
+++ /dev/null
@@ -1,353 +0,0 @@
-/* ----------------------------------------------------------------------
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
-*
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*
-* Project: 	    CMSIS DSP Library
-* Title:	    arm_rfft_f32.c
-*
-* Description:	RFFT & RIFFT Floating point process function
-*
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*
-* Redistribution and use in source and binary forms, with or without
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-void stage_rfft_f32(
-  arm_rfft_fast_instance_f32 * S,
-  float32_t * p, float32_t * pOut)
-{
-   uint32_t  k;								   /* Loop Counter                     */
-   float32_t twR, twI;						   /* RFFT Twiddle coefficients        */
-   float32_t * pCoeff = S->pTwiddleRFFT;  /* Points to RFFT Twiddle factors   */
-   float32_t *pA = p;						   /* increasing pointer               */
-   float32_t *pB = p;						   /* decreasing pointer               */
-   float32_t xAR, xAI, xBR, xBI;				/* temporary variables              */
-   float32_t t1a, t1b;				         /* temporary variables              */
-   float32_t p0, p1, p2, p3;				   /* temporary variables              */
-
-
-   k = (S->Sint).fftLen - 1;					
-
-   /* Pack first and last sample of the frequency domain together */
-
-   xBR = pB[0];
-   xBI = pB[1];
-   xAR = pA[0];
-   xAI = pA[1];
-
-   twR = *pCoeff++ ;
-   twI = *pCoeff++ ;
-   
-   // U1 = XA(1) + XB(1); % It is real
-   t1a = xBR + xAR  ;
-   
-   // U2 = XB(1) - XA(1); % It is imaginary
-   t1b = xBI + xAI  ;
-
-   // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
-   // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
-   *pOut++ = 0.5f * ( t1a + t1b );
-   *pOut++ = 0.5f * ( t1a - t1b );
-
-   // XA(1) = 1/2*( U1 - imag(U2) +  i*( U1 +imag(U2) ));
-   pB  = p + 2*k;
-   pA += 2;
-
-   do
-   {
-      /*
-         function X = my_split_rfft(X, ifftFlag)
-         % X is a series of real numbers
-         L  = length(X);
-         XC = X(1:2:end) +i*X(2:2:end);
-         XA = fft(XC);
-         XB = conj(XA([1 end:-1:2]));
-         TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
-         for l = 2:L/2
-            XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
-         end
-         XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
-         X = XA;
-      */
-
-      xBI = pB[1];
-      xBR = pB[0];
-      xAR = pA[0];
-      xAI = pA[1];
-
-      twR = *pCoeff++;
-      twI = *pCoeff++;
-
-      t1a = xBR - xAR ;
-      t1b = xBI + xAI ;
-
-      // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
-      // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
-      p0 = twR * t1a;
-      p1 = twI * t1a;
-      p2 = twR * t1b;
-      p3 = twI * t1b;
-
-      *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR
-      *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI
-
-      pA += 2;
-      pB -= 2;
-      k--;
-   } while(k > 0u);
-}
-
-/* Prepares data for inverse cfft */
-void merge_rfft_f32(
-arm_rfft_fast_instance_f32 * S,
-float32_t * p, float32_t * pOut)
-{
-   uint32_t  k;								/* Loop Counter                     */
-   float32_t twR, twI;						/* RFFT Twiddle coefficients        */
-   float32_t *pCoeff = S->pTwiddleRFFT;		/* Points to RFFT Twiddle factors   */
-   float32_t *pA = p;						/* increasing pointer               */
-   float32_t *pB = p;						/* decreasing pointer               */
-   float32_t xAR, xAI, xBR, xBI;			/* temporary variables              */
-   float32_t t1a, t1b, r, s, t, u;			/* temporary variables              */
-
-   k = (S->Sint).fftLen - 1;					
-
-   xAR = pA[0];
-   xAI = pA[1];
-
-   pCoeff += 2 ;
-
-   *pOut++ = 0.5f * ( xAR + xAI );
-   *pOut++ = 0.5f * ( xAR - xAI );
-
-   pB  =  p + 2*k ;
-   pA +=  2	   ;
-
-   while(k > 0u)
-   {
-      /* G is half of the frequency complex spectrum */
-      //for k = 2:N
-      //    Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
-      xBI =   pB[1]    ;
-      xBR =   pB[0]    ;
-      xAR =  pA[0];
-      xAI =  pA[1];
-
-      twR = *pCoeff++;
-      twI = *pCoeff++;
-
-      t1a = xAR - xBR ;
-      t1b = xAI + xBI ;
-
-      r = twR * t1a;
-      s = twI * t1b;
-      t = twI * t1a;
-      u = twR * t1b;
-
-      // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI);
-      // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI);
-      *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR
-      *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI
-
-      pA += 2;
-      pB -= 2;
-      k--;
-   }
-
-}
-
-/**
-* @ingroup groupTransforms
-*/
-
-/**
- * @defgroup Fast Real FFT Functions
- *
- * \par
- * The CMSIS DSP library includes specialized algorithms for computing the
- * FFT of real data sequences.  The FFT is defined over complex data but
- * in many applications the input is real.  Real FFT algorithms take advantage
- * of the symmetry properties of the FFT and have a speed advantage over complex
- * algorithms of the same length.
- * \par
- * The Fast RFFT algorith relays on the mixed radix CFFT that save processor usage.
- * \par
- * The real length N forward FFT of a sequence is computed using the steps shown below.
- * \par
- * \image html RFFT.gif "Real Fast Fourier Transform"
- * \par
- * The real sequence is initially treated as if it were complex to perform a CFFT.
- * Later, a processing stage reshapes the data to obtain half of the frequency spectrum
- * in complex format. Except the first complex number that contains the two real numbers
- * X[0] and X[N/2] all the data is complex. In other words, the first complex sample
- * contains two real values packed.
- * \par
- * The input for the inverse RFFT should keep the same format as the output of the 
- * forward RFFT. A first processing stage pre-process the data to later perform an
- * inverse CFFT.
- * \par    
- * \image html RIFFT.gif "Real Inverse Fast Fourier Transform"    
- * \par    
- * The algorithms for floating-point, Q15, and Q31 data are slightly different
- * and we describe each algorithm in turn.
- * \par Floating-point
- * The main functions are arm_rfft_fast_f32()
- * and arm_rfft_fast_init_f32().  The older functions
- * arm_rfft_f32() and arm_rfft_init_f32() have been
- * deprecated but are still documented.
- * \par
- * The FFT of a real N-point sequence has even symmetry in the frequency
- * domain.  The second half of the data equals the conjugate of the first half
- * flipped in frequency:
- * 
- *X[0] - real data
- *X[1] - complex data
- *X[2] - complex data
- *... 
- *X[fftLen/2-1] - complex data
- *X[fftLen/2] - real data
- *X[fftLen/2+1] - conjugate of X[fftLen/2-1]
- *X[fftLen/2+2] - conjugate of X[fftLen/2-2]
- *... 
- *X[fftLen-1] - conjugate of X[1]
- * 

- * Looking at the data, we see that we can uniquely represent the FFT using only
- * 
- *N/2+1 samples:
- *X[0] - real data
- *X[1] - complex data
- *X[2] - complex data
- *... 
- *X[fftLen/2-1] - complex data
- *X[fftLen/2] - real data
- * 

- * Looking more closely we see that the first and last samples are real valued.
- * They can be packed together and we can thus represent the FFT of an N-point
- * real sequence by N/2 complex values:
- * 
- *X[0],X[N/2] - packed real data: X[0] + jX[N/2]
- *X[1] - complex data
- *X[2] - complex data
- *... 
- *X[fftLen/2-1] - complex data
- * 

- * The real FFT functions pack the frequency domain data in this fashion.  The
- * forward transform outputs the data in this form and the inverse transform
- * expects input data in this form.  The function always performs the needed
- * bitreversal so that the input and output data is always in normal order.  The 
- * functions support lengths of [32, 64, 128, ..., 4096] samples.
- * \par
- * The forward and inverse real FFT functions apply the standard FFT scaling; no
- * scaling on the forward transform and 1/fftLen scaling on the inverse
- * transform.
- * \par Q15 and Q31
- * The real algorithms are defined in a similar manner and utilize N/2 complex
- * transforms behind the scenes.  
- * \par
- * The complex transforms used internally include scaling to prevent fixed-point
- * overflows.  The overall scaling equals 1/(fftLen/2).
- * \par
- * A separate instance structure must be defined for each transform used but 
- * twiddle factor and bit reversal tables can be reused.
- * \par
- * There is also an associated initialization function for each data type. 
- * The initialization function performs the following operations:
- * - Sets the values of the internal structure fields.   
- * - Initializes twiddle factor table and bit reversal table pointers.
- * - Initializes the internal complex FFT data structure.
- * \par   
- * Use of the initialization function is optional.   
- * However, if the initialization function is used, then the instance structure 
- * cannot be placed into a const data section. To place an instance structure 
- * into a const data section, the instance structure should be manually 
- * initialized as follows:
- * 
- *arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};    
- *arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};    
- * 

- * where fftLenReal is the length of the real transform;
- * fftLenBy2 length of  the internal complex transform.
- * ifftFlagR Selects forward (=0) or inverse (=1) transform.
- * bitReverseFlagR Selects bit reversed output (=0) or normal order
- * output (=1).
- * twidCoefRModifier stride modifier for the twiddle factor table.
- * The value is based on the FFT length;
- * pTwiddleARealpoints to the A array of twiddle coefficients; 
- * pTwiddleBRealpoints to the B array of twiddle coefficients;    
- * pCfft points to the CFFT Instance structure. The CFFT structure
- * must also be initialized.  Refer to arm_cfft_radix4_f32() for details regarding    
- * static initialization of the complex FFT instance structure.    
- */
-
-/**
-* @addtogroup RealFFT
-* @{
-*/
-
-/**
-* @brief Processing function for the floating-point real FFT.
-* @param[in]  *S              points to an arm_rfft_fast_instance_f32 structure.
-* @param[in]  *p              points to the input buffer.
-* @param[in]  *pOut           points to the output buffer.
-* @param[in]  ifftFlag        RFFT if flag is 0, RIFFT if flag is 1
-* @return none.
-*/
-
-void arm_rfft_fast_f32(
-arm_rfft_fast_instance_f32 * S,
-float32_t * p, float32_t * pOut,
-uint8_t ifftFlag)
-{
-   arm_cfft_instance_f32 * Sint = &(S->Sint);
-   Sint->fftLen = S->fftLenRFFT / 2;
-
-   /* Calculation of Real FFT */
-   if(ifftFlag)
-   {
-      /*  Real FFT compression */
-      merge_rfft_f32(S, p, pOut);
-
-      /* Complex radix-4 IFFT process */
-      arm_cfft_f32( Sint, pOut, ifftFlag, 1);
-   }
-   else
-   {
-      /* Calculation of RFFT of input */
-      arm_cfft_f32( Sint, p, ifftFlag, 1);
-   
-      /*  Real FFT extraction */
-      stage_rfft_f32(S, p, pOut);
-   }
-}
-
-/**    
-* @} end of RealFFT group    
-*/
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_init_f32.c
deleted file mode 100644
index ba66980d..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_init_f32.c
+++ /dev/null
@@ -1,143 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_init_f32.c   
-*    
-* Description:	Split Radix Decimation in Frequency CFFT Floating point processing function   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**   
- * @ingroup groupTransforms   
- */
-
-/**   
- * @addtogroup RealFFT   
- * @{   
- */
-
-/**   
-* @brief  Initialization function for the floating-point real FFT.  
-* @param[in,out] *S             points to an arm_rfft_fast_instance_f32 structure.
-* @param[in]     fftLen         length of the Real Sequence.  
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.  
-*   
-* \par Description:  
-* \par   
-* The parameter fftLen	Specifies length of RFFT/CIFFT process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096.   
-* \par   
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
-*/
-arm_status arm_rfft_fast_init_f32(
-  arm_rfft_fast_instance_f32 * S,
-  uint16_t fftLen)
-{
-  arm_cfft_instance_f32 * Sint;
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-  /*  Initialise the FFT length */
-  Sint = &(S->Sint);
-  Sint->fftLen = fftLen/2;
-  S->fftLenRFFT = fftLen;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (Sint->fftLen)
-  {
-  case 2048u:
-    /*  Initializations of structure parameters for 2048 point FFT */
-    /*  Initialise the bit reversal table length */
-    Sint->bitRevLength = ARMBITREVINDEXTABLE2048_TABLE_LENGTH;
-    /*  Initialise the bit reversal table pointer */
-    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable2048;
-    /*  Initialise the Twiddle coefficient pointers */
-		Sint->pTwiddle     = (float32_t *) twiddleCoef_2048;
-		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_4096;
-    break;
-  case 1024u:
-    Sint->bitRevLength = ARMBITREVINDEXTABLE1024_TABLE_LENGTH;
-    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable1024;
-		Sint->pTwiddle     = (float32_t *) twiddleCoef_1024;
-		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_2048;
-    break;
-  case 512u:
-    Sint->bitRevLength = ARMBITREVINDEXTABLE_512_TABLE_LENGTH;
-    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable512;
-		Sint->pTwiddle     = (float32_t *) twiddleCoef_512;
-		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_1024;
-    break;
-  case 256u:
-    Sint->bitRevLength = ARMBITREVINDEXTABLE_256_TABLE_LENGTH;
-    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable256;
-		Sint->pTwiddle     = (float32_t *) twiddleCoef_256;
-		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_512;
-    break;
-  case 128u:
-    Sint->bitRevLength = ARMBITREVINDEXTABLE_128_TABLE_LENGTH;
-    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable128;
-		Sint->pTwiddle     = (float32_t *) twiddleCoef_128;
-		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_256;
-    break;
-  case 64u:
-    Sint->bitRevLength = ARMBITREVINDEXTABLE__64_TABLE_LENGTH;
-    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable64;
-		Sint->pTwiddle     = (float32_t *) twiddleCoef_64;
-		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_128;
-    break;
-  case 32u:
-    Sint->bitRevLength = ARMBITREVINDEXTABLE__32_TABLE_LENGTH;
-    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable32;
-		Sint->pTwiddle     = (float32_t *) twiddleCoef_32;
-		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_64;
-    break;
-  case 16u:
-    Sint->bitRevLength = ARMBITREVINDEXTABLE__16_TABLE_LENGTH;
-    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable16;
-		Sint->pTwiddle     = (float32_t *) twiddleCoef_16;
-		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_32;
-    break;
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**   
- * @} end of RealFFT group   
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_f32.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_f32.c
deleted file mode 100644
index b9b50049..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_f32.c
+++ /dev/null
@@ -1,8376 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_init_f32.c    
-*    
-* Description:	RFFT & RIFFT Floating point initialisation function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup RealFFT    
- * @{    
- */
-
-/**    
-* \par    
-* Generation of realCoefA array:    
-* \par    
-* 	n = 4096    
-* 
for (i = 0; i < n; i++)    
-*  {    
-*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-*  } 
    
-*/
-
-
-
-static const float32_t realCoefA[8192] = {
-  0.500000000000000f, -0.500000000000000f, 0.499616503715515f,
-    -0.499999850988388f,
-  0.499233007431030f, -0.499999403953552f, 0.498849511146545f,
-    -0.499998688697815f,
-  0.498466014862061f, -0.499997645616531f, 0.498082518577576f,
-    -0.499996334314346f,
-  0.497699022293091f, -0.499994695186615f, 0.497315555810928f,
-    -0.499992787837982f,
-  0.496932059526443f, -0.499990582466125f, 0.496548563241959f,
-    -0.499988079071045f,
-  0.496165096759796f, -0.499985307455063f, 0.495781600475311f,
-    -0.499982208013535f,
-  0.495398133993149f, -0.499978810548782f, 0.495014637708664f,
-    -0.499975144863129f,
-  0.494631171226501f, -0.499971181154251f, 0.494247704744339f,
-    -0.499966919422150f,
-  0.493864238262177f, -0.499962359666824f, 0.493480771780014f,
-    -0.499957501888275f,
-  0.493097305297852f, -0.499952346086502f, 0.492713838815689f,
-    -0.499946922063828f,
-  0.492330402135849f, -0.499941170215607f, 0.491946935653687f,
-    -0.499935150146484f,
-  0.491563498973846f, -0.499928832054138f, 0.491180062294006f,
-    -0.499922215938568f,
-  0.490796625614166f, -0.499915301799774f, 0.490413218736649f,
-    -0.499908089637756f,
-  0.490029782056808f, -0.499900579452515f, 0.489646375179291f,
-    -0.499892801046371f,
-  0.489262968301773f, -0.499884694814682f, 0.488879561424255f,
-    -0.499876320362091f,
-  0.488496154546738f, -0.499867647886276f, 0.488112777471542f,
-    -0.499858677387238f,
-  0.487729400396347f, -0.499849408864975f, 0.487346023321152f,
-    -0.499839842319489f,
-  0.486962646245956f, -0.499830007553101f, 0.486579269170761f,
-    -0.499819844961166f,
-  0.486195921897888f, -0.499809414148331f, 0.485812574625015f,
-    -0.499798685312271f,
-  0.485429257154465f, -0.499787658452988f, 0.485045909881592f,
-    -0.499776333570480f,
-  0.484662592411041f, -0.499764710664749f, 0.484279274940491f,
-    -0.499752789735794f,
-  0.483895987272263f, -0.499740600585938f, 0.483512699604034f,
-    -0.499728083610535f,
-  0.483129411935806f, -0.499715298414230f, 0.482746154069901f,
-    -0.499702215194702f,
-  0.482362866401672f, -0.499688833951950f, 0.481979638338089f,
-    -0.499675154685974f,
-  0.481596380472183f, -0.499661177396774f, 0.481213152408600f,
-    -0.499646931886673f,
-  0.480829954147339f, -0.499632388353348f, 0.480446726083755f,
-    -0.499617516994476f,
-  0.480063527822495f, -0.499602377414703f, 0.479680359363556f,
-    -0.499586939811707f,
-  0.479297190904617f, -0.499571204185486f, 0.478914022445679f,
-    -0.499555170536041f,
-  0.478530883789063f, -0.499538868665695f, 0.478147745132446f,
-    -0.499522238969803f,
-  0.477764606475830f, -0.499505341053009f, 0.477381497621536f,
-    -0.499488145112991f,
-  0.476998418569565f, -0.499470651149750f, 0.476615339517593f,
-    -0.499452859163284f,
-  0.476232260465622f, -0.499434769153595f, 0.475849211215973f,
-    -0.499416410923004f,
-  0.475466161966324f, -0.499397724866867f, 0.475083142518997f,
-    -0.499378770589828f,
-  0.474700123071671f, -0.499359518289566f, 0.474317133426666f,
-    -0.499339967966080f,
-  0.473934143781662f, -0.499320119619370f, 0.473551183938980f,
-    -0.499299973249435f,
-  0.473168224096298f, -0.499279528856277f, 0.472785294055939f,
-    -0.499258816242218f,
-  0.472402364015579f, -0.499237775802612f, 0.472019463777542f,
-    -0.499216467142105f,
-  0.471636593341827f, -0.499194860458374f, 0.471253722906113f,
-    -0.499172955751419f,
-  0.470870882272720f, -0.499150782823563f, 0.470488041639328f,
-    -0.499128282070160f,
-  0.470105201005936f, -0.499105513095856f, 0.469722419977188f,
-    -0.499082416296005f,
-  0.469339638948441f, -0.499059051275253f, 0.468956857919693f,
-    -0.499035388231277f,
-  0.468574106693268f, -0.499011427164078f, 0.468191385269165f,
-    -0.498987197875977f,
-  0.467808693647385f, -0.498962640762329f, 0.467426002025604f,
-    -0.498937815427780f,
-  0.467043310403824f, -0.498912662267685f, 0.466660678386688f,
-    -0.498887240886688f,
-  0.466278046369553f, -0.498861521482468f, 0.465895414352417f,
-    -0.498835533857346f,
-  0.465512841939926f, -0.498809218406677f, 0.465130269527435f,
-    -0.498782604932785f,
-  0.464747726917267f, -0.498755723237991f, 0.464365184307098f,
-    -0.498728543519974f,
-  0.463982671499252f, -0.498701065778732f, 0.463600188493729f,
-    -0.498673290014267f,
-  0.463217705488205f, -0.498645216226578f, 0.462835282087326f,
-    -0.498616874217987f,
-  0.462452858686447f, -0.498588204383850f, 0.462070435285568f,
-    -0.498559266328812f,
-  0.461688071489334f, -0.498530030250549f, 0.461305707693100f,
-    -0.498500496149063f,
-  0.460923373699188f, -0.498470664024353f, 0.460541069507599f,
-    -0.498440563678741f,
-  0.460158795118332f, -0.498410135507584f, 0.459776520729065f,
-    -0.498379439115524f,
-  0.459394276142120f, -0.498348444700241f, 0.459012061357498f,
-    -0.498317152261734f,
-  0.458629876375198f, -0.498285561800003f, 0.458247691392899f,
-    -0.498253703117371f,
-  0.457865566015244f, -0.498221516609192f, 0.457483440637589f,
-    -0.498189061880112f,
-  0.457101345062256f, -0.498156309127808f, 0.456719279289246f,
-    -0.498123258352280f,
-  0.456337243318558f, -0.498089909553528f, 0.455955207347870f,
-    -0.498056292533875f,
-  0.455573230981827f, -0.498022347688675f, 0.455191254615784f,
-    -0.497988134622574f,
-  0.454809308052063f, -0.497953623533249f, 0.454427421092987f,
-    -0.497918814420700f,
-  0.454045534133911f, -0.497883707284927f, 0.453663676977158f,
-    -0.497848302125931f,
-  0.453281819820404f, -0.497812628746033f, 0.452900022268295f,
-    -0.497776657342911f,
-  0.452518254518509f, -0.497740387916565f, 0.452136516571045f,
-    -0.497703820466995f,
-  0.451754778623581f, -0.497666954994202f, 0.451373100280762f,
-    -0.497629791498184f,
-  0.450991421937943f, -0.497592359781265f, 0.450609803199768f,
-    -0.497554630041122f,
-  0.450228184461594f, -0.497516602277756f, 0.449846625328064f,
-    -0.497478276491165f,
-  0.449465066194534f, -0.497439652681351f, 0.449083566665649f,
-    -0.497400760650635f,
-  0.448702067136765f, -0.497361570596695f, 0.448320597410202f,
-    -0.497322082519531f,
-  0.447939187288284f, -0.497282296419144f, 0.447557777166367f,
-    -0.497242212295532f,
-  0.447176426649094f, -0.497201830148697f, 0.446795076131821f,
-    -0.497161179780960f,
-  0.446413785219193f, -0.497120231389999f, 0.446032524108887f,
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-  0.469339638948441f, 0.499059051275253f, 0.469722419977188f,
-    0.499082416296005f,
-  0.470105201005936f, 0.499105513095856f, 0.470488041639328f,
-    0.499128282070160f,
-  0.470870882272720f, 0.499150782823563f, 0.471253722906113f,
-    0.499172955751419f,
-  0.471636593341827f, 0.499194860458374f, 0.472019463777542f,
-    0.499216467142105f,
-  0.472402364015579f, 0.499237775802612f, 0.472785294055939f,
-    0.499258816242218f,
-  0.473168224096298f, 0.499279528856277f, 0.473551183938980f,
-    0.499299973249435f,
-  0.473934143781662f, 0.499320119619370f, 0.474317133426666f,
-    0.499339967966080f,
-  0.474700123071671f, 0.499359518289566f, 0.475083142518997f,
-    0.499378770589828f,
-  0.475466161966324f, 0.499397724866867f, 0.475849211215973f,
-    0.499416410923004f,
-  0.476232260465622f, 0.499434769153595f, 0.476615339517593f,
-    0.499452859163284f,
-  0.476998418569565f, 0.499470651149750f, 0.477381497621536f,
-    0.499488145112991f,
-  0.477764606475830f, 0.499505341053009f, 0.478147745132446f,
-    0.499522238969803f,
-  0.478530883789063f, 0.499538868665695f, 0.478914022445679f,
-    0.499555170536041f,
-  0.479297190904617f, 0.499571204185486f, 0.479680359363556f,
-    0.499586939811707f,
-  0.480063527822495f, 0.499602377414703f, 0.480446726083755f,
-    0.499617516994476f,
-  0.480829954147339f, 0.499632388353348f, 0.481213152408600f,
-    0.499646931886673f,
-  0.481596380472183f, 0.499661177396774f, 0.481979638338089f,
-    0.499675154685974f,
-  0.482362866401672f, 0.499688833951950f, 0.482746154069901f,
-    0.499702215194702f,
-  0.483129411935806f, 0.499715298414230f, 0.483512699604034f,
-    0.499728083610535f,
-  0.483895987272263f, 0.499740600585938f, 0.484279274940491f,
-    0.499752789735794f,
-  0.484662592411041f, 0.499764710664749f, 0.485045909881592f,
-    0.499776333570480f,
-  0.485429257154465f, 0.499787658452988f, 0.485812574625015f,
-    0.499798685312271f,
-  0.486195921897888f, 0.499809414148331f, 0.486579269170761f,
-    0.499819844961166f,
-  0.486962646245956f, 0.499830007553101f, 0.487346023321152f,
-    0.499839842319489f,
-  0.487729400396347f, 0.499849408864975f, 0.488112777471542f,
-    0.499858677387238f,
-  0.488496154546738f, 0.499867647886276f, 0.488879561424255f,
-    0.499876320362091f,
-  0.489262968301773f, 0.499884694814682f, 0.489646375179291f,
-    0.499892801046371f,
-  0.490029782056808f, 0.499900579452515f, 0.490413218736649f,
-    0.499908089637756f,
-  0.490796625614166f, 0.499915301799774f, 0.491180062294006f,
-    0.499922215938568f,
-  0.491563498973846f, 0.499928832054138f, 0.491946935653687f,
-    0.499935150146484f,
-  0.492330402135849f, 0.499941170215607f, 0.492713838815689f,
-    0.499946922063828f,
-  0.493097305297852f, 0.499952346086502f, 0.493480771780014f,
-    0.499957501888275f,
-  0.493864238262177f, 0.499962359666824f, 0.494247704744339f,
-    0.499966919422150f,
-  0.494631171226501f, 0.499971181154251f, 0.495014637708664f,
-    0.499975144863129f,
-  0.495398133993149f, 0.499978810548782f, 0.495781600475311f,
-    0.499982208013535f,
-  0.496165096759796f, 0.499985307455063f, 0.496548563241959f,
-    0.499988079071045f,
-  0.496932059526443f, 0.499990582466125f, 0.497315555810928f,
-    0.499992787837982f,
-  0.497699022293091f, 0.499994695186615f, 0.498082518577576f,
-    0.499996334314346f,
-  0.498466014862061f, 0.499997645616531f, 0.498849511146545f,
-    0.499998688697815f,
-  0.499233007431030f, 0.499999403953552f, 0.499616503715515f,
-    0.499999850988388f,
-};
-
-
-/**    
-* \par   
-* Generation of realCoefB array:    
-* \par   
-* n = 4096    
-* 
for (i = 0; i < n; i++)    
-* {    
-*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-*  } 
    
-*    
-*/
-static const float32_t realCoefB[8192] = {
-  0.500000000000000f, 0.500000000000000f, 0.500383496284485f,
-    0.499999850988388f,
-  0.500766992568970f, 0.499999403953552f, 0.501150488853455f,
-    0.499998688697815f,
-  0.501533985137939f, 0.499997645616531f, 0.501917481422424f,
-    0.499996334314346f,
-  0.502300977706909f, 0.499994695186615f, 0.502684473991394f,
-    0.499992787837982f,
-  0.503067970275879f, 0.499990582466125f, 0.503451406955719f,
-    0.499988079071045f,
-  0.503834903240204f, 0.499985307455063f, 0.504218399524689f,
-    0.499982208013535f,
-  0.504601895809174f, 0.499978810548782f, 0.504985332489014f,
-    0.499975144863129f,
-  0.505368828773499f, 0.499971181154251f, 0.505752325057983f,
-    0.499966919422150f,
-  0.506135761737823f, 0.499962359666824f, 0.506519258022308f,
-    0.499957501888275f,
-  0.506902694702148f, 0.499952346086502f, 0.507286131381989f,
-    0.499946922063828f,
-  0.507669627666473f, 0.499941170215607f, 0.508053064346313f,
-    0.499935150146484f,
-  0.508436501026154f, 0.499928832054138f, 0.508819937705994f,
-    0.499922215938568f,
-  0.509203374385834f, 0.499915301799774f, 0.509586811065674f,
-    0.499908089637756f,
-  0.509970188140869f, 0.499900579452515f, 0.510353624820709f,
-    0.499892801046371f,
-  0.510737061500549f, 0.499884694814682f, 0.511120438575745f,
-    0.499876320362091f,
-  0.511503815650940f, 0.499867647886276f, 0.511887252330780f,
-    0.499858677387238f,
-  0.512270629405975f, 0.499849408864975f, 0.512654006481171f,
-    0.499839842319489f,
-  0.513037383556366f, 0.499830007553101f, 0.513420701026917f,
-    0.499819844961166f,
-  0.513804078102112f, 0.499809414148331f, 0.514187395572662f,
-    0.499798685312271f,
-  0.514570772647858f, 0.499787658452988f, 0.514954090118408f,
-    0.499776333570480f,
-  0.515337407588959f, 0.499764710664749f, 0.515720725059509f,
-    0.499752789735794f,
-  0.516103982925415f, 0.499740600585938f, 0.516487300395966f,
-    0.499728083610535f,
-  0.516870558261871f, 0.499715298414230f, 0.517253875732422f,
-    0.499702215194702f,
-  0.517637133598328f, 0.499688833951950f, 0.518020391464233f,
-    0.499675154685974f,
-  0.518403589725494f, 0.499661177396774f, 0.518786847591400f,
-    0.499646931886673f,
-  0.519170045852661f, 0.499632388353348f, 0.519553244113922f,
-    0.499617516994476f,
-  0.519936442375183f, 0.499602377414703f, 0.520319640636444f,
-    0.499586939811707f,
-  0.520702838897705f, 0.499571204185486f, 0.521085977554321f,
-    0.499555170536041f,
-  0.521469116210938f, 0.499538868665695f, 0.521852254867554f,
-    0.499522238969803f,
-  0.522235393524170f, 0.499505341053009f, 0.522618472576141f,
-    0.499488145112991f,
-  0.523001611232758f, 0.499470651149750f, 0.523384690284729f,
-    0.499452859163284f,
-  0.523767769336700f, 0.499434769153595f, 0.524150788784027f,
-    0.499416410923004f,
-  0.524533808231354f, 0.499397724866867f, 0.524916887283325f,
-    0.499378770589828f,
-  0.525299847126007f, 0.499359518289566f, 0.525682866573334f,
-    0.499339967966080f,
-  0.526065826416016f, 0.499320119619370f, 0.526448845863342f,
-    0.499299973249435f,
-  0.526831746101379f, 0.499279528856277f, 0.527214705944061f,
-    0.499258816242218f,
-  0.527597606182098f, 0.499237775802612f, 0.527980506420136f,
-    0.499216467142105f,
-  0.528363406658173f, 0.499194860458374f, 0.528746306896210f,
-    0.499172955751419f,
-  0.529129147529602f, 0.499150782823563f, 0.529511988162994f,
-    0.499128282070160f,
-  0.529894769191742f, 0.499105513095856f, 0.530277609825134f,
-    0.499082416296005f,
-  0.530660390853882f, 0.499059051275253f, 0.531043112277985f,
-    0.499035388231277f,
-  0.531425893306732f, 0.499011427164078f, 0.531808614730835f,
-    0.498987197875977f,
-  0.532191336154938f, 0.498962640762329f, 0.532573997974396f,
-    0.498937815427780f,
-  0.532956659793854f, 0.498912662267685f, 0.533339321613312f,
-    0.498887240886688f,
-  0.533721983432770f, 0.498861521482468f, 0.534104585647583f,
-    0.498835533857346f,
-  0.534487187862396f, 0.498809218406677f, 0.534869730472565f,
-    0.498782604932785f,
-  0.535252273082733f, 0.498755723237991f, 0.535634815692902f,
-    0.498728543519974f,
-  0.536017298698425f, 0.498701065778732f, 0.536399841308594f,
-    0.498673290014267f,
-  0.536782264709473f, 0.498645216226578f, 0.537164747714996f,
-    0.498616874217987f,
-  0.537547171115875f, 0.498588204383850f, 0.537929534912109f,
-    0.498559266328812f,
-  0.538311958312988f, 0.498530030250549f, 0.538694262504578f,
-    0.498500496149063f,
-  0.539076626300812f, 0.498470664024353f, 0.539458930492401f,
-    0.498440563678741f,
-  0.539841234683990f, 0.498410135507584f, 0.540223479270935f,
-    0.498379439115524f,
-  0.540605723857880f, 0.498348444700241f, 0.540987968444824f,
-    0.498317152261734f,
-  0.541370153427124f, 0.498285561800003f, 0.541752278804779f,
-    0.498253703117371f,
-  0.542134463787079f, 0.498221516609192f, 0.542516589164734f,
-    0.498189061880112f,
-  0.542898654937744f, 0.498156309127808f, 0.543280720710754f,
-    0.498123258352280f,
-  0.543662786483765f, 0.498089909553528f, 0.544044792652130f,
-    0.498056292533875f,
-  0.544426798820496f, 0.498022347688675f, 0.544808745384216f,
-    0.497988134622574f,
-  0.545190691947937f, 0.497953623533249f, 0.545572578907013f,
-    0.497918814420700f,
-  0.545954465866089f, 0.497883707284927f, 0.546336352825165f,
-    0.497848302125931f,
-  0.546718180179596f, 0.497812628746033f, 0.547099947929382f,
-    0.497776657342911f,
-  0.547481775283813f, 0.497740387916565f, 0.547863483428955f,
-    0.497703820466995f,
-  0.548245191574097f, 0.497666954994202f, 0.548626899719238f,
-    0.497629791498184f,
-  0.549008548259735f, 0.497592359781265f, 0.549390196800232f,
-    0.497554630041122f,
-  0.549771785736084f, 0.497516602277756f, 0.550153374671936f,
-    0.497478276491165f,
-  0.550534904003143f, 0.497439652681351f, 0.550916433334351f,
-    0.497400760650635f,
-  0.551297962665558f, 0.497361570596695f, 0.551679372787476f,
-    0.497322082519531f,
-  0.552060842514038f, 0.497282296419144f, 0.552442193031311f,
-    0.497242212295532f,
-  0.552823603153229f, 0.497201830148697f, 0.553204894065857f,
-    0.497161179780960f,
-  0.553586184978485f, 0.497120231389999f, 0.553967475891113f,
-    0.497078984975815f,
-  0.554348707199097f, 0.497037440538406f, 0.554729938507080f,
-    0.496995598077774f,
-  0.555111110210419f, 0.496953487396240f, 0.555492222309113f,
-    0.496911078691483f,
-  0.555873334407806f, 0.496868371963501f, 0.556254446506500f,
-    0.496825367212296f,
-  0.556635499000549f, 0.496782064437866f, 0.557016491889954f,
-    0.496738493442535f,
-  0.557397484779358f, 0.496694594621658f, 0.557778418064117f,
-    0.496650427579880f,
-  0.558159291744232f, 0.496605962514877f, 0.558540165424347f,
-    0.496561229228973f,
-  0.558921039104462f, 0.496516168117523f, 0.559301853179932f,
-    0.496470838785172f,
-  0.559682607650757f, 0.496425211429596f, 0.560063362121582f,
-    0.496379286050797f,
-  0.560444056987762f, 0.496333062648773f, 0.560824692249298f,
-    0.496286571025848f,
-  0.561205327510834f, 0.496239781379700f, 0.561585903167725f,
-    0.496192663908005f,
-  0.561966478824615f, 0.496145308017731f, 0.562346994876862f,
-    0.496097624301910f,
-  0.562727510929108f, 0.496049642562866f, 0.563107967376709f,
-    0.496001392602921f,
-  0.563488364219666f, 0.495952844619751f, 0.563868701457977f,
-    0.495903998613358f,
-  0.564249038696289f, 0.495854884386063f, 0.564629375934601f,
-    0.495805442333221f,
-  0.565009593963623f, 0.495755732059479f, 0.565389811992645f,
-    0.495705723762512f,
-  0.565770030021667f, 0.495655417442322f, 0.566150128841400f,
-    0.495604842901230f,
-  0.566530287265778f, 0.495553970336914f, 0.566910326480865f,
-    0.495502769947052f,
-  0.567290365695953f, 0.495451331138611f, 0.567670345306396f,
-    0.495399564504623f,
-  0.568050265312195f, 0.495347499847412f, 0.568430185317993f,
-    0.495295166969299f,
-  0.568810045719147f, 0.495242536067963f, 0.569189906120300f,
-    0.495189607143402f,
-  0.569569647312164f, 0.495136409997940f, 0.569949388504028f,
-    0.495082914829254f,
-  0.570329129695892f, 0.495029091835022f, 0.570708811283112f,
-    0.494975030422211f,
-  0.571088373661041f, 0.494920641183853f, 0.571467995643616f,
-    0.494865983724594f,
-  0.571847498416901f, 0.494810998439789f, 0.572227001190186f,
-    0.494755744934082f,
-  0.572606444358826f, 0.494700223207474f, 0.572985887527466f,
-    0.494644373655319f,
-  0.573365211486816f, 0.494588255882263f, 0.573744535446167f,
-    0.494531840085983f,
-  0.574123859405518f, 0.494475126266479f, 0.574503064155579f,
-    0.494418144226074f,
-  0.574882268905640f, 0.494360834360123f, 0.575261414051056f,
-    0.494303256273270f,
-  0.575640499591827f, 0.494245409965515f, 0.576019585132599f,
-    0.494187235832214f,
-  0.576398611068726f, 0.494128793478012f, 0.576777577400208f,
-    0.494070053100586f,
-  0.577156484127045f, 0.494011014699936f, 0.577535390853882f,
-    0.493951678276062f,
-  0.577914178371429f, 0.493892073631287f, 0.578292965888977f,
-    0.493832170963287f,
-  0.578671753406525f, 0.493771970272064f, 0.579050421714783f,
-    0.493711471557617f,
-  0.579429090023041f, 0.493650704622269f, 0.579807698726654f,
-    0.493589639663696f,
-  0.580186247825623f, 0.493528276681900f, 0.580564737319946f,
-    0.493466645479202f,
-  0.580943167209625f, 0.493404686450958f, 0.581321597099304f,
-    0.493342459201813f,
-  0.581699967384338f, 0.493279963731766f, 0.582078278064728f,
-    0.493217140436172f,
-  0.582456588745117f, 0.493154048919678f, 0.582834780216217f,
-    0.493090659379959f,
-  0.583212971687317f, 0.493026971817017f, 0.583591103553772f,
-    0.492963016033173f,
-  0.583969175815582f, 0.492898762226105f, 0.584347188472748f,
-    0.492834210395813f,
-  0.584725141525269f, 0.492769360542297f, 0.585103094577789f,
-    0.492704242467880f,
-  0.585480928421021f, 0.492638826370239f, 0.585858762264252f,
-    0.492573112249374f,
-  0.586236536502838f, 0.492507129907608f, 0.586614251136780f,
-    0.492440819740295f,
-  0.586991965770721f, 0.492374241352081f, 0.587369561195374f,
-    0.492307394742966f,
-  0.587747097015381f, 0.492240220308304f, 0.588124632835388f,
-    0.492172777652740f,
-  0.588502109050751f, 0.492105036973953f, 0.588879525661469f,
-    0.492037028074265f,
-  0.589256882667542f, 0.491968721151352f, 0.589634180068970f,
-    0.491900116205215f,
-  0.590011477470398f, 0.491831213235855f, 0.590388655662537f,
-    0.491762012243271f,
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-  0.506135761737823f, -0.499962359666824f, 0.505752325057983f,
-    -0.499966919422150f,
-  0.505368828773499f, -0.499971181154251f, 0.504985332489014f,
-    -0.499975144863129f,
-  0.504601895809174f, -0.499978810548782f, 0.504218399524689f,
-    -0.499982208013535f,
-  0.503834903240204f, -0.499985307455063f, 0.503451406955719f,
-    -0.499988079071045f,
-  0.503067970275879f, -0.499990582466125f, 0.502684473991394f,
-    -0.499992787837982f,
-  0.502300977706909f, -0.499994695186615f, 0.501917481422424f,
-    -0.499996334314346f,
-  0.501533985137939f, -0.499997645616531f, 0.501150488853455f,
-    -0.499998688697815f,
-  0.500766992568970f, -0.499999403953552f, 0.500383496284485f,
-    -0.499999850988388f,
-};
-
-
-
-/**    
-* @brief  Initialization function for the floating-point RFFT/RIFFT.   
-* @deprecated Do not use this function.  It has been superceded by \ref arm_rfft_fast_init_f32 and will be removed
-* in the future.
-* @param[in,out] *S             points to an instance of the floating-point RFFT/RIFFT structure.   
-* @param[in,out] *S_CFFT        points to an instance of the floating-point CFFT/CIFFT structure.   
-* @param[in]     fftLenReal     length of the FFT.   
-* @param[in]     ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value.   
-*    
-* \par Description:   
-* \par   
-* The parameter fftLenReal	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.    
-* \par    
-* The parameter ifftFlagR controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par    
-* This function also initializes Twiddle factor table.     
-*/
-
-arm_status arm_rfft_init_f32(
-  arm_rfft_instance_f32 * S,
-  arm_cfft_radix4_instance_f32 * S_CFFT,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag)
-{
-
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialize the Real FFT length */
-  S->fftLenReal = (uint16_t) fftLenReal;
-
-  /*  Initialize the Complex FFT length */
-  S->fftLenBy2 = (uint16_t) fftLenReal / 2u;
-
-  /*  Initialize the Twiddle coefficientA pointer */
-  S->pTwiddleAReal = (float32_t *) realCoefA;
-
-  /*  Initialize the Twiddle coefficientB pointer */
-  S->pTwiddleBReal = (float32_t *) realCoefB;
-
-  /*  Initialize the Flag for selection of RFFT or RIFFT */
-  S->ifftFlagR = (uint8_t) ifftFlagR;
-
-  /*  Initialize the Flag for calculation Bit reversal or not */
-  S->bitReverseFlagR = (uint8_t) bitReverseFlag;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (S->fftLenReal)
-  {
-    /* Init table modifier value */
-  case 8192u:
-    S->twidCoefRModifier = 1u;
-    break;
-  case 2048u:
-    S->twidCoefRModifier = 4u;
-    break;
-  case 512u:
-    S->twidCoefRModifier = 16u;
-    break;
-  case 128u:
-    S->twidCoefRModifier = 64u;
-    break;
-  default:
-    /*  Reporting argument error if rfftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  /* Init Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  if(S->ifftFlagR)
-  {
-    /* Initializes the CIFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1u, 0u);
-  }
-  else
-  {
-    /* Initializes the CFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0u, 0u);
-  }
-
-  /* return the status of RFFT Init function */
-  return (status);
-
-}
-
-  /**    
-   * @} end of RealFFT group    
-   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q15.c
deleted file mode 100644
index 31b97b49..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q15.c
+++ /dev/null
@@ -1,2235 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_init_q15.c    
-*    
-* Description:	RFFT & RIFFT Q15 initialisation function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-#include "arm_const_structs.h"
-
-/**    
-* @ingroup groupTransforms    
-*/
-
-/**    
-* @addtogroup RealFFT    
-* @{    
-*/
-
-
-
-/**    
-* \par    
-* Generation fixed-point realCoefAQ15 array in Q15 format:    
-* \par    
-* n = 4096    
-* 
for (i = 0; i < n; i++)    
-*  {    
-*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-*  } 
    
-* \par    
-* Convert to fixed point Q15 format    
-*       round(pATable[i] * pow(2, 15))    
-*/
-static const q15_t ALIGN4 realCoefAQ15[8192] = {
-    0x4000, 0xc000, 0x3ff3, 0xc000, 0x3fe7, 0xc000, 0x3fda, 0xc000,
-    0x3fce, 0xc000, 0x3fc1, 0xc000, 0x3fb5, 0xc000, 0x3fa8, 0xc000,
-    0x3f9b, 0xc000, 0x3f8f, 0xc000, 0x3f82, 0xc000, 0x3f76, 0xc001,
-    0x3f69, 0xc001, 0x3f5d, 0xc001, 0x3f50, 0xc001, 0x3f44, 0xc001,
-    0x3f37, 0xc001, 0x3f2a, 0xc001, 0x3f1e, 0xc002, 0x3f11, 0xc002,
-    0x3f05, 0xc002, 0x3ef8, 0xc002, 0x3eec, 0xc002, 0x3edf, 0xc003,
-    0x3ed2, 0xc003, 0x3ec6, 0xc003, 0x3eb9, 0xc003, 0x3ead, 0xc004,
-    0x3ea0, 0xc004, 0x3e94, 0xc004, 0x3e87, 0xc004, 0x3e7a, 0xc005,
-    0x3e6e, 0xc005, 0x3e61, 0xc005, 0x3e55, 0xc006, 0x3e48, 0xc006,
-    0x3e3c, 0xc006, 0x3e2f, 0xc007, 0x3e23, 0xc007, 0x3e16, 0xc007,
-    0x3e09, 0xc008, 0x3dfd, 0xc008, 0x3df0, 0xc009, 0x3de4, 0xc009,
-    0x3dd7, 0xc009, 0x3dcb, 0xc00a, 0x3dbe, 0xc00a, 0x3db2, 0xc00b,
-    0x3da5, 0xc00b, 0x3d98, 0xc00c, 0x3d8c, 0xc00c, 0x3d7f, 0xc00d,
-    0x3d73, 0xc00d, 0x3d66, 0xc00e, 0x3d5a, 0xc00e, 0x3d4d, 0xc00f,
-    0x3d40, 0xc00f, 0x3d34, 0xc010, 0x3d27, 0xc010, 0x3d1b, 0xc011,
-    0x3d0e, 0xc011, 0x3d02, 0xc012, 0x3cf5, 0xc013, 0x3ce9, 0xc013,
-    0x3cdc, 0xc014, 0x3cd0, 0xc014, 0x3cc3, 0xc015, 0x3cb6, 0xc016,
-    0x3caa, 0xc016, 0x3c9d, 0xc017, 0x3c91, 0xc018, 0x3c84, 0xc018,
-    0x3c78, 0xc019, 0x3c6b, 0xc01a, 0x3c5f, 0xc01a, 0x3c52, 0xc01b,
-    0x3c45, 0xc01c, 0x3c39, 0xc01d, 0x3c2c, 0xc01d, 0x3c20, 0xc01e,
-    0x3c13, 0xc01f, 0x3c07, 0xc020, 0x3bfa, 0xc020, 0x3bee, 0xc021,
-    0x3be1, 0xc022, 0x3bd5, 0xc023, 0x3bc8, 0xc024, 0x3bbc, 0xc024,
-    0x3baf, 0xc025, 0x3ba2, 0xc026, 0x3b96, 0xc027, 0x3b89, 0xc028,
-    0x3b7d, 0xc029, 0x3b70, 0xc02a, 0x3b64, 0xc02b, 0x3b57, 0xc02b,
-    0x3b4b, 0xc02c, 0x3b3e, 0xc02d, 0x3b32, 0xc02e, 0x3b25, 0xc02f,
-    0x3b19, 0xc030, 0x3b0c, 0xc031, 0x3b00, 0xc032, 0x3af3, 0xc033,
-    0x3ae6, 0xc034, 0x3ada, 0xc035, 0x3acd, 0xc036, 0x3ac1, 0xc037,
-    0x3ab4, 0xc038, 0x3aa8, 0xc039, 0x3a9b, 0xc03a, 0x3a8f, 0xc03b,
-    0x3a82, 0xc03c, 0x3a76, 0xc03d, 0x3a69, 0xc03f, 0x3a5d, 0xc040,
-    0x3a50, 0xc041, 0x3a44, 0xc042, 0x3a37, 0xc043, 0x3a2b, 0xc044,
-    0x3a1e, 0xc045, 0x3a12, 0xc047, 0x3a05, 0xc048, 0x39f9, 0xc049,
-    0x39ec, 0xc04a, 0x39e0, 0xc04b, 0x39d3, 0xc04c, 0x39c7, 0xc04e,
-    0x39ba, 0xc04f, 0x39ae, 0xc050, 0x39a1, 0xc051, 0x3995, 0xc053,
-    0x3988, 0xc054, 0x397c, 0xc055, 0x396f, 0xc056, 0x3963, 0xc058,
-    0x3956, 0xc059, 0x394a, 0xc05a, 0x393d, 0xc05c, 0x3931, 0xc05d,
-    0x3924, 0xc05e, 0x3918, 0xc060, 0x390b, 0xc061, 0x38ff, 0xc062,
-    0x38f2, 0xc064, 0x38e6, 0xc065, 0x38d9, 0xc067, 0x38cd, 0xc068,
-    0x38c0, 0xc069, 0x38b4, 0xc06b, 0x38a7, 0xc06c, 0x389b, 0xc06e,
-    0x388e, 0xc06f, 0x3882, 0xc071, 0x3875, 0xc072, 0x3869, 0xc074,
-    0x385c, 0xc075, 0x3850, 0xc077, 0x3843, 0xc078, 0x3837, 0xc07a,
-    0x382a, 0xc07b, 0x381e, 0xc07d, 0x3811, 0xc07e, 0x3805, 0xc080,
-    0x37f9, 0xc081, 0x37ec, 0xc083, 0x37e0, 0xc085, 0x37d3, 0xc086,
-    0x37c7, 0xc088, 0x37ba, 0xc089, 0x37ae, 0xc08b, 0x37a1, 0xc08d,
-    0x3795, 0xc08e, 0x3788, 0xc090, 0x377c, 0xc092, 0x376f, 0xc093,
-    0x3763, 0xc095, 0x3757, 0xc097, 0x374a, 0xc098, 0x373e, 0xc09a,
-    0x3731, 0xc09c, 0x3725, 0xc09e, 0x3718, 0xc09f, 0x370c, 0xc0a1,
-    0x36ff, 0xc0a3, 0x36f3, 0xc0a5, 0x36e7, 0xc0a6, 0x36da, 0xc0a8,
-    0x36ce, 0xc0aa, 0x36c1, 0xc0ac, 0x36b5, 0xc0ae, 0x36a8, 0xc0af,
-    0x369c, 0xc0b1, 0x3690, 0xc0b3, 0x3683, 0xc0b5, 0x3677, 0xc0b7,
-    0x366a, 0xc0b9, 0x365e, 0xc0bb, 0x3651, 0xc0bd, 0x3645, 0xc0be,
-    0x3639, 0xc0c0, 0x362c, 0xc0c2, 0x3620, 0xc0c4, 0x3613, 0xc0c6,
-    0x3607, 0xc0c8, 0x35fa, 0xc0ca, 0x35ee, 0xc0cc, 0x35e2, 0xc0ce,
-    0x35d5, 0xc0d0, 0x35c9, 0xc0d2, 0x35bc, 0xc0d4, 0x35b0, 0xc0d6,
-    0x35a4, 0xc0d8, 0x3597, 0xc0da, 0x358b, 0xc0dc, 0x357e, 0xc0de,
-    0x3572, 0xc0e0, 0x3566, 0xc0e2, 0x3559, 0xc0e4, 0x354d, 0xc0e7,
-    0x3540, 0xc0e9, 0x3534, 0xc0eb, 0x3528, 0xc0ed, 0x351b, 0xc0ef,
-    0x350f, 0xc0f1, 0x3503, 0xc0f3, 0x34f6, 0xc0f6, 0x34ea, 0xc0f8,
-    0x34dd, 0xc0fa, 0x34d1, 0xc0fc, 0x34c5, 0xc0fe, 0x34b8, 0xc100,
-    0x34ac, 0xc103, 0x34a0, 0xc105, 0x3493, 0xc107, 0x3487, 0xc109,
-    0x347b, 0xc10c, 0x346e, 0xc10e, 0x3462, 0xc110, 0x3455, 0xc113,
-    0x3449, 0xc115, 0x343d, 0xc117, 0x3430, 0xc119, 0x3424, 0xc11c,
-    0x3418, 0xc11e, 0x340b, 0xc120, 0x33ff, 0xc123, 0x33f3, 0xc125,
-    0x33e6, 0xc128, 0x33da, 0xc12a, 0x33ce, 0xc12c, 0x33c1, 0xc12f,
-    0x33b5, 0xc131, 0x33a9, 0xc134, 0x339c, 0xc136, 0x3390, 0xc138,
-    0x3384, 0xc13b, 0x3377, 0xc13d, 0x336b, 0xc140, 0x335f, 0xc142,
-    0x3352, 0xc145, 0x3346, 0xc147, 0x333a, 0xc14a, 0x332d, 0xc14c,
-    0x3321, 0xc14f, 0x3315, 0xc151, 0x3308, 0xc154, 0x32fc, 0xc156,
-    0x32f0, 0xc159, 0x32e4, 0xc15b, 0x32d7, 0xc15e, 0x32cb, 0xc161,
-    0x32bf, 0xc163, 0x32b2, 0xc166, 0x32a6, 0xc168, 0x329a, 0xc16b,
-    0x328e, 0xc16e, 0x3281, 0xc170, 0x3275, 0xc173, 0x3269, 0xc176,
-    0x325c, 0xc178, 0x3250, 0xc17b, 0x3244, 0xc17e, 0x3238, 0xc180,
-    0x322b, 0xc183, 0x321f, 0xc186, 0x3213, 0xc189, 0x3207, 0xc18b,
-    0x31fa, 0xc18e, 0x31ee, 0xc191, 0x31e2, 0xc194, 0x31d5, 0xc196,
-    0x31c9, 0xc199, 0x31bd, 0xc19c, 0x31b1, 0xc19f, 0x31a4, 0xc1a2,
-    0x3198, 0xc1a4, 0x318c, 0xc1a7, 0x3180, 0xc1aa, 0x3174, 0xc1ad,
-    0x3167, 0xc1b0, 0x315b, 0xc1b3, 0x314f, 0xc1b6, 0x3143, 0xc1b8,
-    0x3136, 0xc1bb, 0x312a, 0xc1be, 0x311e, 0xc1c1, 0x3112, 0xc1c4,
-    0x3105, 0xc1c7, 0x30f9, 0xc1ca, 0x30ed, 0xc1cd, 0x30e1, 0xc1d0,
-    0x30d5, 0xc1d3, 0x30c8, 0xc1d6, 0x30bc, 0xc1d9, 0x30b0, 0xc1dc,
-    0x30a4, 0xc1df, 0x3098, 0xc1e2, 0x308b, 0xc1e5, 0x307f, 0xc1e8,
-    0x3073, 0xc1eb, 0x3067, 0xc1ee, 0x305b, 0xc1f1, 0x304e, 0xc1f4,
-    0x3042, 0xc1f7, 0x3036, 0xc1fa, 0x302a, 0xc1fd, 0x301e, 0xc201,
-    0x3012, 0xc204, 0x3005, 0xc207, 0x2ff9, 0xc20a, 0x2fed, 0xc20d,
-    0x2fe1, 0xc210, 0x2fd5, 0xc213, 0x2fc9, 0xc217, 0x2fbc, 0xc21a,
-    0x2fb0, 0xc21d, 0x2fa4, 0xc220, 0x2f98, 0xc223, 0x2f8c, 0xc227,
-    0x2f80, 0xc22a, 0x2f74, 0xc22d, 0x2f67, 0xc230, 0x2f5b, 0xc234,
-    0x2f4f, 0xc237, 0x2f43, 0xc23a, 0x2f37, 0xc23e, 0x2f2b, 0xc241,
-    0x2f1f, 0xc244, 0x2f13, 0xc247, 0x2f06, 0xc24b, 0x2efa, 0xc24e,
-    0x2eee, 0xc251, 0x2ee2, 0xc255, 0x2ed6, 0xc258, 0x2eca, 0xc25c,
-    0x2ebe, 0xc25f, 0x2eb2, 0xc262, 0x2ea6, 0xc266, 0x2e99, 0xc269,
-    0x2e8d, 0xc26d, 0x2e81, 0xc270, 0x2e75, 0xc273, 0x2e69, 0xc277,
-    0x2e5d, 0xc27a, 0x2e51, 0xc27e, 0x2e45, 0xc281, 0x2e39, 0xc285,
-    0x2e2d, 0xc288, 0x2e21, 0xc28c, 0x2e15, 0xc28f, 0x2e09, 0xc293,
-    0x2dfc, 0xc296, 0x2df0, 0xc29a, 0x2de4, 0xc29d, 0x2dd8, 0xc2a1,
-    0x2dcc, 0xc2a5, 0x2dc0, 0xc2a8, 0x2db4, 0xc2ac, 0x2da8, 0xc2af,
-    0x2d9c, 0xc2b3, 0x2d90, 0xc2b7, 0x2d84, 0xc2ba, 0x2d78, 0xc2be,
-    0x2d6c, 0xc2c1, 0x2d60, 0xc2c5, 0x2d54, 0xc2c9, 0x2d48, 0xc2cc,
-    0x2d3c, 0xc2d0, 0x2d30, 0xc2d4, 0x2d24, 0xc2d8, 0x2d18, 0xc2db,
-    0x2d0c, 0xc2df, 0x2d00, 0xc2e3, 0x2cf4, 0xc2e6, 0x2ce8, 0xc2ea,
-    0x2cdc, 0xc2ee, 0x2cd0, 0xc2f2, 0x2cc4, 0xc2f5, 0x2cb8, 0xc2f9,
-    0x2cac, 0xc2fd, 0x2ca0, 0xc301, 0x2c94, 0xc305, 0x2c88, 0xc308,
-    0x2c7c, 0xc30c, 0x2c70, 0xc310, 0x2c64, 0xc314, 0x2c58, 0xc318,
-    0x2c4c, 0xc31c, 0x2c40, 0xc320, 0x2c34, 0xc323, 0x2c28, 0xc327,
-    0x2c1c, 0xc32b, 0x2c10, 0xc32f, 0x2c05, 0xc333, 0x2bf9, 0xc337,
-    0x2bed, 0xc33b, 0x2be1, 0xc33f, 0x2bd5, 0xc343, 0x2bc9, 0xc347,
-    0x2bbd, 0xc34b, 0x2bb1, 0xc34f, 0x2ba5, 0xc353, 0x2b99, 0xc357,
-    0x2b8d, 0xc35b, 0x2b81, 0xc35f, 0x2b75, 0xc363, 0x2b6a, 0xc367,
-    0x2b5e, 0xc36b, 0x2b52, 0xc36f, 0x2b46, 0xc373, 0x2b3a, 0xc377,
-    0x2b2e, 0xc37b, 0x2b22, 0xc37f, 0x2b16, 0xc383, 0x2b0a, 0xc387,
-    0x2aff, 0xc38c, 0x2af3, 0xc390, 0x2ae7, 0xc394, 0x2adb, 0xc398,
-    0x2acf, 0xc39c, 0x2ac3, 0xc3a0, 0x2ab7, 0xc3a5, 0x2aac, 0xc3a9,
-    0x2aa0, 0xc3ad, 0x2a94, 0xc3b1, 0x2a88, 0xc3b5, 0x2a7c, 0xc3ba,
-    0x2a70, 0xc3be, 0x2a65, 0xc3c2, 0x2a59, 0xc3c6, 0x2a4d, 0xc3ca,
-    0x2a41, 0xc3cf, 0x2a35, 0xc3d3, 0x2a29, 0xc3d7, 0x2a1e, 0xc3dc,
-    0x2a12, 0xc3e0, 0x2a06, 0xc3e4, 0x29fa, 0xc3e9, 0x29ee, 0xc3ed,
-    0x29e3, 0xc3f1, 0x29d7, 0xc3f6, 0x29cb, 0xc3fa, 0x29bf, 0xc3fe,
-    0x29b4, 0xc403, 0x29a8, 0xc407, 0x299c, 0xc40b, 0x2990, 0xc410,
-    0x2984, 0xc414, 0x2979, 0xc419, 0x296d, 0xc41d, 0x2961, 0xc422,
-    0x2955, 0xc426, 0x294a, 0xc42a, 0x293e, 0xc42f, 0x2932, 0xc433,
-    0x2926, 0xc438, 0x291b, 0xc43c, 0x290f, 0xc441, 0x2903, 0xc445,
-    0x28f7, 0xc44a, 0x28ec, 0xc44e, 0x28e0, 0xc453, 0x28d4, 0xc457,
-    0x28c9, 0xc45c, 0x28bd, 0xc461, 0x28b1, 0xc465, 0x28a5, 0xc46a,
-    0x289a, 0xc46e, 0x288e, 0xc473, 0x2882, 0xc478, 0x2877, 0xc47c,
-    0x286b, 0xc481, 0x285f, 0xc485, 0x2854, 0xc48a, 0x2848, 0xc48f,
-    0x283c, 0xc493, 0x2831, 0xc498, 0x2825, 0xc49d, 0x2819, 0xc4a1,
-    0x280e, 0xc4a6, 0x2802, 0xc4ab, 0x27f6, 0xc4b0, 0x27eb, 0xc4b4,
-    0x27df, 0xc4b9, 0x27d3, 0xc4be, 0x27c8, 0xc4c2, 0x27bc, 0xc4c7,
-    0x27b1, 0xc4cc, 0x27a5, 0xc4d1, 0x2799, 0xc4d6, 0x278e, 0xc4da,
-    0x2782, 0xc4df, 0x2777, 0xc4e4, 0x276b, 0xc4e9, 0x275f, 0xc4ee,
-    0x2754, 0xc4f2, 0x2748, 0xc4f7, 0x273d, 0xc4fc, 0x2731, 0xc501,
-    0x2725, 0xc506, 0x271a, 0xc50b, 0x270e, 0xc510, 0x2703, 0xc515,
-    0x26f7, 0xc51a, 0x26ec, 0xc51e, 0x26e0, 0xc523, 0x26d4, 0xc528,
-    0x26c9, 0xc52d, 0x26bd, 0xc532, 0x26b2, 0xc537, 0x26a6, 0xc53c,
-    0x269b, 0xc541, 0x268f, 0xc546, 0x2684, 0xc54b, 0x2678, 0xc550,
-    0x266d, 0xc555, 0x2661, 0xc55a, 0x2656, 0xc55f, 0x264a, 0xc564,
-    0x263f, 0xc569, 0x2633, 0xc56e, 0x2628, 0xc573, 0x261c, 0xc578,
-    0x2611, 0xc57e, 0x2605, 0xc583, 0x25fa, 0xc588, 0x25ee, 0xc58d,
-    0x25e3, 0xc592, 0x25d7, 0xc597, 0x25cc, 0xc59c, 0x25c0, 0xc5a1,
-    0x25b5, 0xc5a7, 0x25a9, 0xc5ac, 0x259e, 0xc5b1, 0x2592, 0xc5b6,
-    0x2587, 0xc5bb, 0x257c, 0xc5c1, 0x2570, 0xc5c6, 0x2565, 0xc5cb,
-    0x2559, 0xc5d0, 0x254e, 0xc5d5, 0x2542, 0xc5db, 0x2537, 0xc5e0,
-    0x252c, 0xc5e5, 0x2520, 0xc5ea, 0x2515, 0xc5f0, 0x2509, 0xc5f5,
-    0x24fe, 0xc5fa, 0x24f3, 0xc600, 0x24e7, 0xc605, 0x24dc, 0xc60a,
-    0x24d0, 0xc610, 0x24c5, 0xc615, 0x24ba, 0xc61a, 0x24ae, 0xc620,
-    0x24a3, 0xc625, 0x2498, 0xc62a, 0x248c, 0xc630, 0x2481, 0xc635,
-    0x2476, 0xc63b, 0x246a, 0xc640, 0x245f, 0xc645, 0x2454, 0xc64b,
-    0x2448, 0xc650, 0x243d, 0xc656, 0x2432, 0xc65b, 0x2426, 0xc661,
-    0x241b, 0xc666, 0x2410, 0xc66c, 0x2404, 0xc671, 0x23f9, 0xc677,
-    0x23ee, 0xc67c, 0x23e2, 0xc682, 0x23d7, 0xc687, 0x23cc, 0xc68d,
-    0x23c1, 0xc692, 0x23b5, 0xc698, 0x23aa, 0xc69d, 0x239f, 0xc6a3,
-    0x2394, 0xc6a8, 0x2388, 0xc6ae, 0x237d, 0xc6b4, 0x2372, 0xc6b9,
-    0x2367, 0xc6bf, 0x235b, 0xc6c5, 0x2350, 0xc6ca, 0x2345, 0xc6d0,
-    0x233a, 0xc6d5, 0x232e, 0xc6db, 0x2323, 0xc6e1, 0x2318, 0xc6e6,
-    0x230d, 0xc6ec, 0x2301, 0xc6f2, 0x22f6, 0xc6f7, 0x22eb, 0xc6fd,
-    0x22e0, 0xc703, 0x22d5, 0xc709, 0x22ca, 0xc70e, 0x22be, 0xc714,
-    0x22b3, 0xc71a, 0x22a8, 0xc720, 0x229d, 0xc725, 0x2292, 0xc72b,
-    0x2287, 0xc731, 0x227b, 0xc737, 0x2270, 0xc73d, 0x2265, 0xc742,
-    0x225a, 0xc748, 0x224f, 0xc74e, 0x2244, 0xc754, 0x2239, 0xc75a,
-    0x222d, 0xc75f, 0x2222, 0xc765, 0x2217, 0xc76b, 0x220c, 0xc771,
-    0x2201, 0xc777, 0x21f6, 0xc77d, 0x21eb, 0xc783, 0x21e0, 0xc789,
-    0x21d5, 0xc78f, 0x21ca, 0xc795, 0x21be, 0xc79a, 0x21b3, 0xc7a0,
-    0x21a8, 0xc7a6, 0x219d, 0xc7ac, 0x2192, 0xc7b2, 0x2187, 0xc7b8,
-    0x217c, 0xc7be, 0x2171, 0xc7c4, 0x2166, 0xc7ca, 0x215b, 0xc7d0,
-    0x2150, 0xc7d6, 0x2145, 0xc7dc, 0x213a, 0xc7e2, 0x212f, 0xc7e8,
-    0x2124, 0xc7ee, 0x2119, 0xc7f5, 0x210e, 0xc7fb, 0x2103, 0xc801,
-    0x20f8, 0xc807, 0x20ed, 0xc80d, 0x20e2, 0xc813, 0x20d7, 0xc819,
-    0x20cc, 0xc81f, 0x20c1, 0xc825, 0x20b6, 0xc82b, 0x20ab, 0xc832,
-    0x20a0, 0xc838, 0x2095, 0xc83e, 0x208a, 0xc844, 0x207f, 0xc84a,
-    0x2074, 0xc850, 0x2069, 0xc857, 0x205e, 0xc85d, 0x2054, 0xc863,
-    0x2049, 0xc869, 0x203e, 0xc870, 0x2033, 0xc876, 0x2028, 0xc87c,
-    0x201d, 0xc882, 0x2012, 0xc889, 0x2007, 0xc88f, 0x1ffc, 0xc895,
-    0x1ff1, 0xc89b, 0x1fe7, 0xc8a2, 0x1fdc, 0xc8a8, 0x1fd1, 0xc8ae,
-    0x1fc6, 0xc8b5, 0x1fbb, 0xc8bb, 0x1fb0, 0xc8c1, 0x1fa5, 0xc8c8,
-    0x1f9b, 0xc8ce, 0x1f90, 0xc8d4, 0x1f85, 0xc8db, 0x1f7a, 0xc8e1,
-    0x1f6f, 0xc8e8, 0x1f65, 0xc8ee, 0x1f5a, 0xc8f4, 0x1f4f, 0xc8fb,
-    0x1f44, 0xc901, 0x1f39, 0xc908, 0x1f2f, 0xc90e, 0x1f24, 0xc915,
-    0x1f19, 0xc91b, 0x1f0e, 0xc921, 0x1f03, 0xc928, 0x1ef9, 0xc92e,
-    0x1eee, 0xc935, 0x1ee3, 0xc93b, 0x1ed8, 0xc942, 0x1ece, 0xc948,
-    0x1ec3, 0xc94f, 0x1eb8, 0xc955, 0x1ead, 0xc95c, 0x1ea3, 0xc963,
-    0x1e98, 0xc969, 0x1e8d, 0xc970, 0x1e83, 0xc976, 0x1e78, 0xc97d,
-    0x1e6d, 0xc983, 0x1e62, 0xc98a, 0x1e58, 0xc991, 0x1e4d, 0xc997,
-    0x1e42, 0xc99e, 0x1e38, 0xc9a4, 0x1e2d, 0xc9ab, 0x1e22, 0xc9b2,
-    0x1e18, 0xc9b8, 0x1e0d, 0xc9bf, 0x1e02, 0xc9c6, 0x1df8, 0xc9cc,
-    0x1ded, 0xc9d3, 0x1de2, 0xc9da, 0x1dd8, 0xc9e0, 0x1dcd, 0xc9e7,
-    0x1dc3, 0xc9ee, 0x1db8, 0xc9f5, 0x1dad, 0xc9fb, 0x1da3, 0xca02,
-    0x1d98, 0xca09, 0x1d8e, 0xca10, 0x1d83, 0xca16, 0x1d78, 0xca1d,
-    0x1d6e, 0xca24, 0x1d63, 0xca2b, 0x1d59, 0xca32, 0x1d4e, 0xca38,
-    0x1d44, 0xca3f, 0x1d39, 0xca46, 0x1d2e, 0xca4d, 0x1d24, 0xca54,
-    0x1d19, 0xca5b, 0x1d0f, 0xca61, 0x1d04, 0xca68, 0x1cfa, 0xca6f,
-    0x1cef, 0xca76, 0x1ce5, 0xca7d, 0x1cda, 0xca84, 0x1cd0, 0xca8b,
-    0x1cc5, 0xca92, 0x1cbb, 0xca99, 0x1cb0, 0xca9f, 0x1ca6, 0xcaa6,
-    0x1c9b, 0xcaad, 0x1c91, 0xcab4, 0x1c86, 0xcabb, 0x1c7c, 0xcac2,
-    0x1c72, 0xcac9, 0x1c67, 0xcad0, 0x1c5d, 0xcad7, 0x1c52, 0xcade,
-    0x1c48, 0xcae5, 0x1c3d, 0xcaec, 0x1c33, 0xcaf3, 0x1c29, 0xcafa,
-    0x1c1e, 0xcb01, 0x1c14, 0xcb08, 0x1c09, 0xcb0f, 0x1bff, 0xcb16,
-    0x1bf5, 0xcb1e, 0x1bea, 0xcb25, 0x1be0, 0xcb2c, 0x1bd5, 0xcb33,
-    0x1bcb, 0xcb3a, 0x1bc1, 0xcb41, 0x1bb6, 0xcb48, 0x1bac, 0xcb4f,
-    0x1ba2, 0xcb56, 0x1b97, 0xcb5e, 0x1b8d, 0xcb65, 0x1b83, 0xcb6c,
-    0x1b78, 0xcb73, 0x1b6e, 0xcb7a, 0x1b64, 0xcb81, 0x1b59, 0xcb89,
-    0x1b4f, 0xcb90, 0x1b45, 0xcb97, 0x1b3b, 0xcb9e, 0x1b30, 0xcba5,
-    0x1b26, 0xcbad, 0x1b1c, 0xcbb4, 0x1b11, 0xcbbb, 0x1b07, 0xcbc2,
-    0x1afd, 0xcbca, 0x1af3, 0xcbd1, 0x1ae8, 0xcbd8, 0x1ade, 0xcbe0,
-    0x1ad4, 0xcbe7, 0x1aca, 0xcbee, 0x1abf, 0xcbf5, 0x1ab5, 0xcbfd,
-    0x1aab, 0xcc04, 0x1aa1, 0xcc0b, 0x1a97, 0xcc13, 0x1a8c, 0xcc1a,
-    0x1a82, 0xcc21, 0x1a78, 0xcc29, 0x1a6e, 0xcc30, 0x1a64, 0xcc38,
-    0x1a5a, 0xcc3f, 0x1a4f, 0xcc46, 0x1a45, 0xcc4e, 0x1a3b, 0xcc55,
-    0x1a31, 0xcc5d, 0x1a27, 0xcc64, 0x1a1d, 0xcc6b, 0x1a13, 0xcc73,
-    0x1a08, 0xcc7a, 0x19fe, 0xcc82, 0x19f4, 0xcc89, 0x19ea, 0xcc91,
-    0x19e0, 0xcc98, 0x19d6, 0xcca0, 0x19cc, 0xcca7, 0x19c2, 0xccaf,
-    0x19b8, 0xccb6, 0x19ae, 0xccbe, 0x19a4, 0xccc5, 0x199a, 0xcccd,
-    0x198f, 0xccd4, 0x1985, 0xccdc, 0x197b, 0xcce3, 0x1971, 0xcceb,
-    0x1967, 0xccf3, 0x195d, 0xccfa, 0x1953, 0xcd02, 0x1949, 0xcd09,
-    0x193f, 0xcd11, 0x1935, 0xcd19, 0x192b, 0xcd20, 0x1921, 0xcd28,
-    0x1917, 0xcd30, 0x190d, 0xcd37, 0x1903, 0xcd3f, 0x18f9, 0xcd46,
-    0x18ef, 0xcd4e, 0x18e6, 0xcd56, 0x18dc, 0xcd5d, 0x18d2, 0xcd65,
-    0x18c8, 0xcd6d, 0x18be, 0xcd75, 0x18b4, 0xcd7c, 0x18aa, 0xcd84,
-    0x18a0, 0xcd8c, 0x1896, 0xcd93, 0x188c, 0xcd9b, 0x1882, 0xcda3,
-    0x1878, 0xcdab, 0x186f, 0xcdb2, 0x1865, 0xcdba, 0x185b, 0xcdc2,
-    0x1851, 0xcdca, 0x1847, 0xcdd2, 0x183d, 0xcdd9, 0x1833, 0xcde1,
-    0x182a, 0xcde9, 0x1820, 0xcdf1, 0x1816, 0xcdf9, 0x180c, 0xce01,
-    0x1802, 0xce08, 0x17f8, 0xce10, 0x17ef, 0xce18, 0x17e5, 0xce20,
-    0x17db, 0xce28, 0x17d1, 0xce30, 0x17c8, 0xce38, 0x17be, 0xce40,
-    0x17b4, 0xce47, 0x17aa, 0xce4f, 0x17a0, 0xce57, 0x1797, 0xce5f,
-    0x178d, 0xce67, 0x1783, 0xce6f, 0x177a, 0xce77, 0x1770, 0xce7f,
-    0x1766, 0xce87, 0x175c, 0xce8f, 0x1753, 0xce97, 0x1749, 0xce9f,
-    0x173f, 0xcea7, 0x1736, 0xceaf, 0x172c, 0xceb7, 0x1722, 0xcebf,
-    0x1719, 0xcec7, 0x170f, 0xcecf, 0x1705, 0xced7, 0x16fc, 0xcedf,
-    0x16f2, 0xcee7, 0x16e8, 0xceef, 0x16df, 0xcef7, 0x16d5, 0xceff,
-    0x16cb, 0xcf07, 0x16c2, 0xcf10, 0x16b8, 0xcf18, 0x16af, 0xcf20,
-    0x16a5, 0xcf28, 0x169b, 0xcf30, 0x1692, 0xcf38, 0x1688, 0xcf40,
-    0x167f, 0xcf48, 0x1675, 0xcf51, 0x166c, 0xcf59, 0x1662, 0xcf61,
-    0x1659, 0xcf69, 0x164f, 0xcf71, 0x1645, 0xcf79, 0x163c, 0xcf82,
-    0x1632, 0xcf8a, 0x1629, 0xcf92, 0x161f, 0xcf9a, 0x1616, 0xcfa3,
-    0x160c, 0xcfab, 0x1603, 0xcfb3, 0x15f9, 0xcfbb, 0x15f0, 0xcfc4,
-    0x15e6, 0xcfcc, 0x15dd, 0xcfd4, 0x15d4, 0xcfdc, 0x15ca, 0xcfe5,
-    0x15c1, 0xcfed, 0x15b7, 0xcff5, 0x15ae, 0xcffe, 0x15a4, 0xd006,
-    0x159b, 0xd00e, 0x1592, 0xd016, 0x1588, 0xd01f, 0x157f, 0xd027,
-    0x1575, 0xd030, 0x156c, 0xd038, 0x1563, 0xd040, 0x1559, 0xd049,
-    0x1550, 0xd051, 0x1547, 0xd059, 0x153d, 0xd062, 0x1534, 0xd06a,
-    0x152a, 0xd073, 0x1521, 0xd07b, 0x1518, 0xd083, 0x150e, 0xd08c,
-    0x1505, 0xd094, 0x14fc, 0xd09d, 0x14f3, 0xd0a5, 0x14e9, 0xd0ae,
-    0x14e0, 0xd0b6, 0x14d7, 0xd0bf, 0x14cd, 0xd0c7, 0x14c4, 0xd0d0,
-    0x14bb, 0xd0d8, 0x14b2, 0xd0e0, 0x14a8, 0xd0e9, 0x149f, 0xd0f2,
-    0x1496, 0xd0fa, 0x148d, 0xd103, 0x1483, 0xd10b, 0x147a, 0xd114,
-    0x1471, 0xd11c, 0x1468, 0xd125, 0x145f, 0xd12d, 0x1455, 0xd136,
-    0x144c, 0xd13e, 0x1443, 0xd147, 0x143a, 0xd150, 0x1431, 0xd158,
-    0x1428, 0xd161, 0x141e, 0xd169, 0x1415, 0xd172, 0x140c, 0xd17b,
-    0x1403, 0xd183, 0x13fa, 0xd18c, 0x13f1, 0xd195, 0x13e8, 0xd19d,
-    0x13df, 0xd1a6, 0x13d5, 0xd1af, 0x13cc, 0xd1b7, 0x13c3, 0xd1c0,
-    0x13ba, 0xd1c9, 0x13b1, 0xd1d1, 0x13a8, 0xd1da, 0x139f, 0xd1e3,
-    0x1396, 0xd1eb, 0x138d, 0xd1f4, 0x1384, 0xd1fd, 0x137b, 0xd206,
-    0x1372, 0xd20e, 0x1369, 0xd217, 0x1360, 0xd220, 0x1357, 0xd229,
-    0x134e, 0xd231, 0x1345, 0xd23a, 0x133c, 0xd243, 0x1333, 0xd24c,
-    0x132a, 0xd255, 0x1321, 0xd25d, 0x1318, 0xd266, 0x130f, 0xd26f,
-    0x1306, 0xd278, 0x12fd, 0xd281, 0x12f4, 0xd28a, 0x12eb, 0xd292,
-    0x12e2, 0xd29b, 0x12d9, 0xd2a4, 0x12d1, 0xd2ad, 0x12c8, 0xd2b6,
-    0x12bf, 0xd2bf, 0x12b6, 0xd2c8, 0x12ad, 0xd2d1, 0x12a4, 0xd2d9,
-    0x129b, 0xd2e2, 0x1292, 0xd2eb, 0x128a, 0xd2f4, 0x1281, 0xd2fd,
-    0x1278, 0xd306, 0x126f, 0xd30f, 0x1266, 0xd318, 0x125d, 0xd321,
-    0x1255, 0xd32a, 0x124c, 0xd333, 0x1243, 0xd33c, 0x123a, 0xd345,
-    0x1231, 0xd34e, 0x1229, 0xd357, 0x1220, 0xd360, 0x1217, 0xd369,
-    0x120e, 0xd372, 0x1206, 0xd37b, 0x11fd, 0xd384, 0x11f4, 0xd38d,
-    0x11eb, 0xd396, 0x11e3, 0xd39f, 0x11da, 0xd3a8, 0x11d1, 0xd3b1,
-    0x11c9, 0xd3ba, 0x11c0, 0xd3c3, 0x11b7, 0xd3cc, 0x11af, 0xd3d5,
-    0x11a6, 0xd3df, 0x119d, 0xd3e8, 0x1195, 0xd3f1, 0x118c, 0xd3fa,
-    0x1183, 0xd403, 0x117b, 0xd40c, 0x1172, 0xd415, 0x1169, 0xd41e,
-    0x1161, 0xd428, 0x1158, 0xd431, 0x1150, 0xd43a, 0x1147, 0xd443,
-    0x113e, 0xd44c, 0x1136, 0xd455, 0x112d, 0xd45f, 0x1125, 0xd468,
-    0x111c, 0xd471, 0x1114, 0xd47a, 0x110b, 0xd483, 0x1103, 0xd48d,
-    0x10fa, 0xd496, 0x10f2, 0xd49f, 0x10e9, 0xd4a8, 0x10e0, 0xd4b2,
-    0x10d8, 0xd4bb, 0x10d0, 0xd4c4, 0x10c7, 0xd4cd, 0x10bf, 0xd4d7,
-    0x10b6, 0xd4e0, 0x10ae, 0xd4e9, 0x10a5, 0xd4f3, 0x109d, 0xd4fc,
-    0x1094, 0xd505, 0x108c, 0xd50e, 0x1083, 0xd518, 0x107b, 0xd521,
-    0x1073, 0xd52a, 0x106a, 0xd534, 0x1062, 0xd53d, 0x1059, 0xd547,
-    0x1051, 0xd550, 0x1049, 0xd559, 0x1040, 0xd563, 0x1038, 0xd56c,
-    0x1030, 0xd575, 0x1027, 0xd57f, 0x101f, 0xd588, 0x1016, 0xd592,
-    0x100e, 0xd59b, 0x1006, 0xd5a4, 0xffe, 0xd5ae, 0xff5, 0xd5b7,
-    0xfed, 0xd5c1, 0xfe5, 0xd5ca, 0xfdc, 0xd5d4, 0xfd4, 0xd5dd,
-    0xfcc, 0xd5e6, 0xfc4, 0xd5f0, 0xfbb, 0xd5f9, 0xfb3, 0xd603,
-    0xfab, 0xd60c, 0xfa3, 0xd616, 0xf9a, 0xd61f, 0xf92, 0xd629,
-    0xf8a, 0xd632, 0xf82, 0xd63c, 0xf79, 0xd645, 0xf71, 0xd64f,
-    0xf69, 0xd659, 0xf61, 0xd662, 0xf59, 0xd66c, 0xf51, 0xd675,
-    0xf48, 0xd67f, 0xf40, 0xd688, 0xf38, 0xd692, 0xf30, 0xd69b,
-    0xf28, 0xd6a5, 0xf20, 0xd6af, 0xf18, 0xd6b8, 0xf10, 0xd6c2,
-    0xf07, 0xd6cb, 0xeff, 0xd6d5, 0xef7, 0xd6df, 0xeef, 0xd6e8,
-    0xee7, 0xd6f2, 0xedf, 0xd6fc, 0xed7, 0xd705, 0xecf, 0xd70f,
-    0xec7, 0xd719, 0xebf, 0xd722, 0xeb7, 0xd72c, 0xeaf, 0xd736,
-    0xea7, 0xd73f, 0xe9f, 0xd749, 0xe97, 0xd753, 0xe8f, 0xd75c,
-    0xe87, 0xd766, 0xe7f, 0xd770, 0xe77, 0xd77a, 0xe6f, 0xd783,
-    0xe67, 0xd78d, 0xe5f, 0xd797, 0xe57, 0xd7a0, 0xe4f, 0xd7aa,
-    0xe47, 0xd7b4, 0xe40, 0xd7be, 0xe38, 0xd7c8, 0xe30, 0xd7d1,
-    0xe28, 0xd7db, 0xe20, 0xd7e5, 0xe18, 0xd7ef, 0xe10, 0xd7f8,
-    0xe08, 0xd802, 0xe01, 0xd80c, 0xdf9, 0xd816, 0xdf1, 0xd820,
-    0xde9, 0xd82a, 0xde1, 0xd833, 0xdd9, 0xd83d, 0xdd2, 0xd847,
-    0xdca, 0xd851, 0xdc2, 0xd85b, 0xdba, 0xd865, 0xdb2, 0xd86f,
-    0xdab, 0xd878, 0xda3, 0xd882, 0xd9b, 0xd88c, 0xd93, 0xd896,
-    0xd8c, 0xd8a0, 0xd84, 0xd8aa, 0xd7c, 0xd8b4, 0xd75, 0xd8be,
-    0xd6d, 0xd8c8, 0xd65, 0xd8d2, 0xd5d, 0xd8dc, 0xd56, 0xd8e6,
-    0xd4e, 0xd8ef, 0xd46, 0xd8f9, 0xd3f, 0xd903, 0xd37, 0xd90d,
-    0xd30, 0xd917, 0xd28, 0xd921, 0xd20, 0xd92b, 0xd19, 0xd935,
-    0xd11, 0xd93f, 0xd09, 0xd949, 0xd02, 0xd953, 0xcfa, 0xd95d,
-    0xcf3, 0xd967, 0xceb, 0xd971, 0xce3, 0xd97b, 0xcdc, 0xd985,
-    0xcd4, 0xd98f, 0xccd, 0xd99a, 0xcc5, 0xd9a4, 0xcbe, 0xd9ae,
-    0xcb6, 0xd9b8, 0xcaf, 0xd9c2, 0xca7, 0xd9cc, 0xca0, 0xd9d6,
-    0xc98, 0xd9e0, 0xc91, 0xd9ea, 0xc89, 0xd9f4, 0xc82, 0xd9fe,
-    0xc7a, 0xda08, 0xc73, 0xda13, 0xc6b, 0xda1d, 0xc64, 0xda27,
-    0xc5d, 0xda31, 0xc55, 0xda3b, 0xc4e, 0xda45, 0xc46, 0xda4f,
-    0xc3f, 0xda5a, 0xc38, 0xda64, 0xc30, 0xda6e, 0xc29, 0xda78,
-    0xc21, 0xda82, 0xc1a, 0xda8c, 0xc13, 0xda97, 0xc0b, 0xdaa1,
-    0xc04, 0xdaab, 0xbfd, 0xdab5, 0xbf5, 0xdabf, 0xbee, 0xdaca,
-    0xbe7, 0xdad4, 0xbe0, 0xdade, 0xbd8, 0xdae8, 0xbd1, 0xdaf3,
-    0xbca, 0xdafd, 0xbc2, 0xdb07, 0xbbb, 0xdb11, 0xbb4, 0xdb1c,
-    0xbad, 0xdb26, 0xba5, 0xdb30, 0xb9e, 0xdb3b, 0xb97, 0xdb45,
-    0xb90, 0xdb4f, 0xb89, 0xdb59, 0xb81, 0xdb64, 0xb7a, 0xdb6e,
-    0xb73, 0xdb78, 0xb6c, 0xdb83, 0xb65, 0xdb8d, 0xb5e, 0xdb97,
-    0xb56, 0xdba2, 0xb4f, 0xdbac, 0xb48, 0xdbb6, 0xb41, 0xdbc1,
-    0xb3a, 0xdbcb, 0xb33, 0xdbd5, 0xb2c, 0xdbe0, 0xb25, 0xdbea,
-    0xb1e, 0xdbf5, 0xb16, 0xdbff, 0xb0f, 0xdc09, 0xb08, 0xdc14,
-    0xb01, 0xdc1e, 0xafa, 0xdc29, 0xaf3, 0xdc33, 0xaec, 0xdc3d,
-    0xae5, 0xdc48, 0xade, 0xdc52, 0xad7, 0xdc5d, 0xad0, 0xdc67,
-    0xac9, 0xdc72, 0xac2, 0xdc7c, 0xabb, 0xdc86, 0xab4, 0xdc91,
-    0xaad, 0xdc9b, 0xaa6, 0xdca6, 0xa9f, 0xdcb0, 0xa99, 0xdcbb,
-    0xa92, 0xdcc5, 0xa8b, 0xdcd0, 0xa84, 0xdcda, 0xa7d, 0xdce5,
-    0xa76, 0xdcef, 0xa6f, 0xdcfa, 0xa68, 0xdd04, 0xa61, 0xdd0f,
-    0xa5b, 0xdd19, 0xa54, 0xdd24, 0xa4d, 0xdd2e, 0xa46, 0xdd39,
-    0xa3f, 0xdd44, 0xa38, 0xdd4e, 0xa32, 0xdd59, 0xa2b, 0xdd63,
-    0xa24, 0xdd6e, 0xa1d, 0xdd78, 0xa16, 0xdd83, 0xa10, 0xdd8e,
-    0xa09, 0xdd98, 0xa02, 0xdda3, 0x9fb, 0xddad, 0x9f5, 0xddb8,
-    0x9ee, 0xddc3, 0x9e7, 0xddcd, 0x9e0, 0xddd8, 0x9da, 0xdde2,
-    0x9d3, 0xdded, 0x9cc, 0xddf8, 0x9c6, 0xde02, 0x9bf, 0xde0d,
-    0x9b8, 0xde18, 0x9b2, 0xde22, 0x9ab, 0xde2d, 0x9a4, 0xde38,
-    0x99e, 0xde42, 0x997, 0xde4d, 0x991, 0xde58, 0x98a, 0xde62,
-    0x983, 0xde6d, 0x97d, 0xde78, 0x976, 0xde83, 0x970, 0xde8d,
-    0x969, 0xde98, 0x963, 0xdea3, 0x95c, 0xdead, 0x955, 0xdeb8,
-    0x94f, 0xdec3, 0x948, 0xdece, 0x942, 0xded8, 0x93b, 0xdee3,
-    0x935, 0xdeee, 0x92e, 0xdef9, 0x928, 0xdf03, 0x921, 0xdf0e,
-    0x91b, 0xdf19, 0x915, 0xdf24, 0x90e, 0xdf2f, 0x908, 0xdf39,
-    0x901, 0xdf44, 0x8fb, 0xdf4f, 0x8f4, 0xdf5a, 0x8ee, 0xdf65,
-    0x8e8, 0xdf6f, 0x8e1, 0xdf7a, 0x8db, 0xdf85, 0x8d4, 0xdf90,
-    0x8ce, 0xdf9b, 0x8c8, 0xdfa5, 0x8c1, 0xdfb0, 0x8bb, 0xdfbb,
-    0x8b5, 0xdfc6, 0x8ae, 0xdfd1, 0x8a8, 0xdfdc, 0x8a2, 0xdfe7,
-    0x89b, 0xdff1, 0x895, 0xdffc, 0x88f, 0xe007, 0x889, 0xe012,
-    0x882, 0xe01d, 0x87c, 0xe028, 0x876, 0xe033, 0x870, 0xe03e,
-    0x869, 0xe049, 0x863, 0xe054, 0x85d, 0xe05e, 0x857, 0xe069,
-    0x850, 0xe074, 0x84a, 0xe07f, 0x844, 0xe08a, 0x83e, 0xe095,
-    0x838, 0xe0a0, 0x832, 0xe0ab, 0x82b, 0xe0b6, 0x825, 0xe0c1,
-    0x81f, 0xe0cc, 0x819, 0xe0d7, 0x813, 0xe0e2, 0x80d, 0xe0ed,
-    0x807, 0xe0f8, 0x801, 0xe103, 0x7fb, 0xe10e, 0x7f5, 0xe119,
-    0x7ee, 0xe124, 0x7e8, 0xe12f, 0x7e2, 0xe13a, 0x7dc, 0xe145,
-    0x7d6, 0xe150, 0x7d0, 0xe15b, 0x7ca, 0xe166, 0x7c4, 0xe171,
-    0x7be, 0xe17c, 0x7b8, 0xe187, 0x7b2, 0xe192, 0x7ac, 0xe19d,
-    0x7a6, 0xe1a8, 0x7a0, 0xe1b3, 0x79a, 0xe1be, 0x795, 0xe1ca,
-    0x78f, 0xe1d5, 0x789, 0xe1e0, 0x783, 0xe1eb, 0x77d, 0xe1f6,
-    0x777, 0xe201, 0x771, 0xe20c, 0x76b, 0xe217, 0x765, 0xe222,
-    0x75f, 0xe22d, 0x75a, 0xe239, 0x754, 0xe244, 0x74e, 0xe24f,
-    0x748, 0xe25a, 0x742, 0xe265, 0x73d, 0xe270, 0x737, 0xe27b,
-    0x731, 0xe287, 0x72b, 0xe292, 0x725, 0xe29d, 0x720, 0xe2a8,
-    0x71a, 0xe2b3, 0x714, 0xe2be, 0x70e, 0xe2ca, 0x709, 0xe2d5,
-    0x703, 0xe2e0, 0x6fd, 0xe2eb, 0x6f7, 0xe2f6, 0x6f2, 0xe301,
-    0x6ec, 0xe30d, 0x6e6, 0xe318, 0x6e1, 0xe323, 0x6db, 0xe32e,
-    0x6d5, 0xe33a, 0x6d0, 0xe345, 0x6ca, 0xe350, 0x6c5, 0xe35b,
-    0x6bf, 0xe367, 0x6b9, 0xe372, 0x6b4, 0xe37d, 0x6ae, 0xe388,
-    0x6a8, 0xe394, 0x6a3, 0xe39f, 0x69d, 0xe3aa, 0x698, 0xe3b5,
-    0x692, 0xe3c1, 0x68d, 0xe3cc, 0x687, 0xe3d7, 0x682, 0xe3e2,
-    0x67c, 0xe3ee, 0x677, 0xe3f9, 0x671, 0xe404, 0x66c, 0xe410,
-    0x666, 0xe41b, 0x661, 0xe426, 0x65b, 0xe432, 0x656, 0xe43d,
-    0x650, 0xe448, 0x64b, 0xe454, 0x645, 0xe45f, 0x640, 0xe46a,
-    0x63b, 0xe476, 0x635, 0xe481, 0x630, 0xe48c, 0x62a, 0xe498,
-    0x625, 0xe4a3, 0x620, 0xe4ae, 0x61a, 0xe4ba, 0x615, 0xe4c5,
-    0x610, 0xe4d0, 0x60a, 0xe4dc, 0x605, 0xe4e7, 0x600, 0xe4f3,
-    0x5fa, 0xe4fe, 0x5f5, 0xe509, 0x5f0, 0xe515, 0x5ea, 0xe520,
-    0x5e5, 0xe52c, 0x5e0, 0xe537, 0x5db, 0xe542, 0x5d5, 0xe54e,
-    0x5d0, 0xe559, 0x5cb, 0xe565, 0x5c6, 0xe570, 0x5c1, 0xe57c,
-    0x5bb, 0xe587, 0x5b6, 0xe592, 0x5b1, 0xe59e, 0x5ac, 0xe5a9,
-    0x5a7, 0xe5b5, 0x5a1, 0xe5c0, 0x59c, 0xe5cc, 0x597, 0xe5d7,
-    0x592, 0xe5e3, 0x58d, 0xe5ee, 0x588, 0xe5fa, 0x583, 0xe605,
-    0x57e, 0xe611, 0x578, 0xe61c, 0x573, 0xe628, 0x56e, 0xe633,
-    0x569, 0xe63f, 0x564, 0xe64a, 0x55f, 0xe656, 0x55a, 0xe661,
-    0x555, 0xe66d, 0x550, 0xe678, 0x54b, 0xe684, 0x546, 0xe68f,
-    0x541, 0xe69b, 0x53c, 0xe6a6, 0x537, 0xe6b2, 0x532, 0xe6bd,
-    0x52d, 0xe6c9, 0x528, 0xe6d4, 0x523, 0xe6e0, 0x51e, 0xe6ec,
-    0x51a, 0xe6f7, 0x515, 0xe703, 0x510, 0xe70e, 0x50b, 0xe71a,
-    0x506, 0xe725, 0x501, 0xe731, 0x4fc, 0xe73d, 0x4f7, 0xe748,
-    0x4f2, 0xe754, 0x4ee, 0xe75f, 0x4e9, 0xe76b, 0x4e4, 0xe777,
-    0x4df, 0xe782, 0x4da, 0xe78e, 0x4d6, 0xe799, 0x4d1, 0xe7a5,
-    0x4cc, 0xe7b1, 0x4c7, 0xe7bc, 0x4c2, 0xe7c8, 0x4be, 0xe7d3,
-    0x4b9, 0xe7df, 0x4b4, 0xe7eb, 0x4b0, 0xe7f6, 0x4ab, 0xe802,
-    0x4a6, 0xe80e, 0x4a1, 0xe819, 0x49d, 0xe825, 0x498, 0xe831,
-    0x493, 0xe83c, 0x48f, 0xe848, 0x48a, 0xe854, 0x485, 0xe85f,
-    0x481, 0xe86b, 0x47c, 0xe877, 0x478, 0xe882, 0x473, 0xe88e,
-    0x46e, 0xe89a, 0x46a, 0xe8a5, 0x465, 0xe8b1, 0x461, 0xe8bd,
-    0x45c, 0xe8c9, 0x457, 0xe8d4, 0x453, 0xe8e0, 0x44e, 0xe8ec,
-    0x44a, 0xe8f7, 0x445, 0xe903, 0x441, 0xe90f, 0x43c, 0xe91b,
-    0x438, 0xe926, 0x433, 0xe932, 0x42f, 0xe93e, 0x42a, 0xe94a,
-    0x426, 0xe955, 0x422, 0xe961, 0x41d, 0xe96d, 0x419, 0xe979,
-    0x414, 0xe984, 0x410, 0xe990, 0x40b, 0xe99c, 0x407, 0xe9a8,
-    0x403, 0xe9b4, 0x3fe, 0xe9bf, 0x3fa, 0xe9cb, 0x3f6, 0xe9d7,
-    0x3f1, 0xe9e3, 0x3ed, 0xe9ee, 0x3e9, 0xe9fa, 0x3e4, 0xea06,
-    0x3e0, 0xea12, 0x3dc, 0xea1e, 0x3d7, 0xea29, 0x3d3, 0xea35,
-    0x3cf, 0xea41, 0x3ca, 0xea4d, 0x3c6, 0xea59, 0x3c2, 0xea65,
-    0x3be, 0xea70, 0x3ba, 0xea7c, 0x3b5, 0xea88, 0x3b1, 0xea94,
-    0x3ad, 0xeaa0, 0x3a9, 0xeaac, 0x3a5, 0xeab7, 0x3a0, 0xeac3,
-    0x39c, 0xeacf, 0x398, 0xeadb, 0x394, 0xeae7, 0x390, 0xeaf3,
-    0x38c, 0xeaff, 0x387, 0xeb0a, 0x383, 0xeb16, 0x37f, 0xeb22,
-    0x37b, 0xeb2e, 0x377, 0xeb3a, 0x373, 0xeb46, 0x36f, 0xeb52,
-    0x36b, 0xeb5e, 0x367, 0xeb6a, 0x363, 0xeb75, 0x35f, 0xeb81,
-    0x35b, 0xeb8d, 0x357, 0xeb99, 0x353, 0xeba5, 0x34f, 0xebb1,
-    0x34b, 0xebbd, 0x347, 0xebc9, 0x343, 0xebd5, 0x33f, 0xebe1,
-    0x33b, 0xebed, 0x337, 0xebf9, 0x333, 0xec05, 0x32f, 0xec10,
-    0x32b, 0xec1c, 0x327, 0xec28, 0x323, 0xec34, 0x320, 0xec40,
-    0x31c, 0xec4c, 0x318, 0xec58, 0x314, 0xec64, 0x310, 0xec70,
-    0x30c, 0xec7c, 0x308, 0xec88, 0x305, 0xec94, 0x301, 0xeca0,
-    0x2fd, 0xecac, 0x2f9, 0xecb8, 0x2f5, 0xecc4, 0x2f2, 0xecd0,
-    0x2ee, 0xecdc, 0x2ea, 0xece8, 0x2e6, 0xecf4, 0x2e3, 0xed00,
-    0x2df, 0xed0c, 0x2db, 0xed18, 0x2d8, 0xed24, 0x2d4, 0xed30,
-    0x2d0, 0xed3c, 0x2cc, 0xed48, 0x2c9, 0xed54, 0x2c5, 0xed60,
-    0x2c1, 0xed6c, 0x2be, 0xed78, 0x2ba, 0xed84, 0x2b7, 0xed90,
-    0x2b3, 0xed9c, 0x2af, 0xeda8, 0x2ac, 0xedb4, 0x2a8, 0xedc0,
-    0x2a5, 0xedcc, 0x2a1, 0xedd8, 0x29d, 0xede4, 0x29a, 0xedf0,
-    0x296, 0xedfc, 0x293, 0xee09, 0x28f, 0xee15, 0x28c, 0xee21,
-    0x288, 0xee2d, 0x285, 0xee39, 0x281, 0xee45, 0x27e, 0xee51,
-    0x27a, 0xee5d, 0x277, 0xee69, 0x273, 0xee75, 0x270, 0xee81,
-    0x26d, 0xee8d, 0x269, 0xee99, 0x266, 0xeea6, 0x262, 0xeeb2,
-    0x25f, 0xeebe, 0x25c, 0xeeca, 0x258, 0xeed6, 0x255, 0xeee2,
-    0x251, 0xeeee, 0x24e, 0xeefa, 0x24b, 0xef06, 0x247, 0xef13,
-    0x244, 0xef1f, 0x241, 0xef2b, 0x23e, 0xef37, 0x23a, 0xef43,
-    0x237, 0xef4f, 0x234, 0xef5b, 0x230, 0xef67, 0x22d, 0xef74,
-    0x22a, 0xef80, 0x227, 0xef8c, 0x223, 0xef98, 0x220, 0xefa4,
-    0x21d, 0xefb0, 0x21a, 0xefbc, 0x217, 0xefc9, 0x213, 0xefd5,
-    0x210, 0xefe1, 0x20d, 0xefed, 0x20a, 0xeff9, 0x207, 0xf005,
-    0x204, 0xf012, 0x201, 0xf01e, 0x1fd, 0xf02a, 0x1fa, 0xf036,
-    0x1f7, 0xf042, 0x1f4, 0xf04e, 0x1f1, 0xf05b, 0x1ee, 0xf067,
-    0x1eb, 0xf073, 0x1e8, 0xf07f, 0x1e5, 0xf08b, 0x1e2, 0xf098,
-    0x1df, 0xf0a4, 0x1dc, 0xf0b0, 0x1d9, 0xf0bc, 0x1d6, 0xf0c8,
-    0x1d3, 0xf0d5, 0x1d0, 0xf0e1, 0x1cd, 0xf0ed, 0x1ca, 0xf0f9,
-    0x1c7, 0xf105, 0x1c4, 0xf112, 0x1c1, 0xf11e, 0x1be, 0xf12a,
-    0x1bb, 0xf136, 0x1b8, 0xf143, 0x1b6, 0xf14f, 0x1b3, 0xf15b,
-    0x1b0, 0xf167, 0x1ad, 0xf174, 0x1aa, 0xf180, 0x1a7, 0xf18c,
-    0x1a4, 0xf198, 0x1a2, 0xf1a4, 0x19f, 0xf1b1, 0x19c, 0xf1bd,
-    0x199, 0xf1c9, 0x196, 0xf1d5, 0x194, 0xf1e2, 0x191, 0xf1ee,
-    0x18e, 0xf1fa, 0x18b, 0xf207, 0x189, 0xf213, 0x186, 0xf21f,
-    0x183, 0xf22b, 0x180, 0xf238, 0x17e, 0xf244, 0x17b, 0xf250,
-    0x178, 0xf25c, 0x176, 0xf269, 0x173, 0xf275, 0x170, 0xf281,
-    0x16e, 0xf28e, 0x16b, 0xf29a, 0x168, 0xf2a6, 0x166, 0xf2b2,
-    0x163, 0xf2bf, 0x161, 0xf2cb, 0x15e, 0xf2d7, 0x15b, 0xf2e4,
-    0x159, 0xf2f0, 0x156, 0xf2fc, 0x154, 0xf308, 0x151, 0xf315,
-    0x14f, 0xf321, 0x14c, 0xf32d, 0x14a, 0xf33a, 0x147, 0xf346,
-    0x145, 0xf352, 0x142, 0xf35f, 0x140, 0xf36b, 0x13d, 0xf377,
-    0x13b, 0xf384, 0x138, 0xf390, 0x136, 0xf39c, 0x134, 0xf3a9,
-    0x131, 0xf3b5, 0x12f, 0xf3c1, 0x12c, 0xf3ce, 0x12a, 0xf3da,
-    0x128, 0xf3e6, 0x125, 0xf3f3, 0x123, 0xf3ff, 0x120, 0xf40b,
-    0x11e, 0xf418, 0x11c, 0xf424, 0x119, 0xf430, 0x117, 0xf43d,
-    0x115, 0xf449, 0x113, 0xf455, 0x110, 0xf462, 0x10e, 0xf46e,
-    0x10c, 0xf47b, 0x109, 0xf487, 0x107, 0xf493, 0x105, 0xf4a0,
-    0x103, 0xf4ac, 0x100, 0xf4b8, 0xfe, 0xf4c5, 0xfc, 0xf4d1,
-    0xfa, 0xf4dd, 0xf8, 0xf4ea, 0xf6, 0xf4f6, 0xf3, 0xf503,
-    0xf1, 0xf50f, 0xef, 0xf51b, 0xed, 0xf528, 0xeb, 0xf534,
-    0xe9, 0xf540, 0xe7, 0xf54d, 0xe4, 0xf559, 0xe2, 0xf566,
-    0xe0, 0xf572, 0xde, 0xf57e, 0xdc, 0xf58b, 0xda, 0xf597,
-    0xd8, 0xf5a4, 0xd6, 0xf5b0, 0xd4, 0xf5bc, 0xd2, 0xf5c9,
-    0xd0, 0xf5d5, 0xce, 0xf5e2, 0xcc, 0xf5ee, 0xca, 0xf5fa,
-    0xc8, 0xf607, 0xc6, 0xf613, 0xc4, 0xf620, 0xc2, 0xf62c,
-    0xc0, 0xf639, 0xbe, 0xf645, 0xbd, 0xf651, 0xbb, 0xf65e,
-    0xb9, 0xf66a, 0xb7, 0xf677, 0xb5, 0xf683, 0xb3, 0xf690,
-    0xb1, 0xf69c, 0xaf, 0xf6a8, 0xae, 0xf6b5, 0xac, 0xf6c1,
-    0xaa, 0xf6ce, 0xa8, 0xf6da, 0xa6, 0xf6e7, 0xa5, 0xf6f3,
-    0xa3, 0xf6ff, 0xa1, 0xf70c, 0x9f, 0xf718, 0x9e, 0xf725,
-    0x9c, 0xf731, 0x9a, 0xf73e, 0x98, 0xf74a, 0x97, 0xf757,
-    0x95, 0xf763, 0x93, 0xf76f, 0x92, 0xf77c, 0x90, 0xf788,
-    0x8e, 0xf795, 0x8d, 0xf7a1, 0x8b, 0xf7ae, 0x89, 0xf7ba,
-    0x88, 0xf7c7, 0x86, 0xf7d3, 0x85, 0xf7e0, 0x83, 0xf7ec,
-    0x81, 0xf7f9, 0x80, 0xf805, 0x7e, 0xf811, 0x7d, 0xf81e,
-    0x7b, 0xf82a, 0x7a, 0xf837, 0x78, 0xf843, 0x77, 0xf850,
-    0x75, 0xf85c, 0x74, 0xf869, 0x72, 0xf875, 0x71, 0xf882,
-    0x6f, 0xf88e, 0x6e, 0xf89b, 0x6c, 0xf8a7, 0x6b, 0xf8b4,
-    0x69, 0xf8c0, 0x68, 0xf8cd, 0x67, 0xf8d9, 0x65, 0xf8e6,
-    0x64, 0xf8f2, 0x62, 0xf8ff, 0x61, 0xf90b, 0x60, 0xf918,
-    0x5e, 0xf924, 0x5d, 0xf931, 0x5c, 0xf93d, 0x5a, 0xf94a,
-    0x59, 0xf956, 0x58, 0xf963, 0x56, 0xf96f, 0x55, 0xf97c,
-    0x54, 0xf988, 0x53, 0xf995, 0x51, 0xf9a1, 0x50, 0xf9ae,
-    0x4f, 0xf9ba, 0x4e, 0xf9c7, 0x4c, 0xf9d3, 0x4b, 0xf9e0,
-    0x4a, 0xf9ec, 0x49, 0xf9f9, 0x48, 0xfa05, 0x47, 0xfa12,
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-    0x3caa, 0x3fea, 0x3cb6, 0x3fea, 0x3cc3, 0x3feb, 0x3cd0, 0x3fec,
-    0x3cdc, 0x3fec, 0x3ce9, 0x3fed, 0x3cf5, 0x3fed, 0x3d02, 0x3fee,
-    0x3d0e, 0x3fef, 0x3d1b, 0x3fef, 0x3d27, 0x3ff0, 0x3d34, 0x3ff0,
-    0x3d40, 0x3ff1, 0x3d4d, 0x3ff1, 0x3d5a, 0x3ff2, 0x3d66, 0x3ff2,
-    0x3d73, 0x3ff3, 0x3d7f, 0x3ff3, 0x3d8c, 0x3ff4, 0x3d98, 0x3ff4,
-    0x3da5, 0x3ff5, 0x3db2, 0x3ff5, 0x3dbe, 0x3ff6, 0x3dcb, 0x3ff6,
-    0x3dd7, 0x3ff7, 0x3de4, 0x3ff7, 0x3df0, 0x3ff7, 0x3dfd, 0x3ff8,
-    0x3e09, 0x3ff8, 0x3e16, 0x3ff9, 0x3e23, 0x3ff9, 0x3e2f, 0x3ff9,
-    0x3e3c, 0x3ffa, 0x3e48, 0x3ffa, 0x3e55, 0x3ffa, 0x3e61, 0x3ffb,
-    0x3e6e, 0x3ffb, 0x3e7a, 0x3ffb, 0x3e87, 0x3ffc, 0x3e94, 0x3ffc,
-    0x3ea0, 0x3ffc, 0x3ead, 0x3ffc, 0x3eb9, 0x3ffd, 0x3ec6, 0x3ffd,
-    0x3ed2, 0x3ffd, 0x3edf, 0x3ffd, 0x3eec, 0x3ffe, 0x3ef8, 0x3ffe,
-    0x3f05, 0x3ffe, 0x3f11, 0x3ffe, 0x3f1e, 0x3ffe, 0x3f2a, 0x3fff,
-    0x3f37, 0x3fff, 0x3f44, 0x3fff, 0x3f50, 0x3fff, 0x3f5d, 0x3fff,
-    0x3f69, 0x3fff, 0x3f76, 0x3fff, 0x3f82, 0x4000, 0x3f8f, 0x4000,
-    0x3f9b, 0x4000, 0x3fa8, 0x4000, 0x3fb5, 0x4000, 0x3fc1, 0x4000,
-    0x3fce, 0x4000, 0x3fda, 0x4000, 0x3fe7, 0x4000, 0x3ff3, 0x4000,
-};
-
-/**    
-* \par   
-* Generation of real_CoefB array:    
-* \par    
-* n = 4096    
-* 
for (i = 0; i < n; i++)    
-*  {    
-*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-*  } 
   
-* \par    
-* Convert to fixed point Q15 format    
-*       round(pBTable[i] * pow(2, 15))    
-*    
-*/
-static const q15_t ALIGN4 realCoefBQ15[8192] = {
-    0x4000, 0x4000, 0x400d, 0x4000, 0x4019, 0x4000, 0x4026, 0x4000,
-    0x4032, 0x4000, 0x403f, 0x4000, 0x404b, 0x4000, 0x4058, 0x4000,
-    0x4065, 0x4000, 0x4071, 0x4000, 0x407e, 0x4000, 0x408a, 0x3fff,
-    0x4097, 0x3fff, 0x40a3, 0x3fff, 0x40b0, 0x3fff, 0x40bc, 0x3fff,
-    0x40c9, 0x3fff, 0x40d6, 0x3fff, 0x40e2, 0x3ffe, 0x40ef, 0x3ffe,
-    0x40fb, 0x3ffe, 0x4108, 0x3ffe, 0x4114, 0x3ffe, 0x4121, 0x3ffd,
-    0x412e, 0x3ffd, 0x413a, 0x3ffd, 0x4147, 0x3ffd, 0x4153, 0x3ffc,
-    0x4160, 0x3ffc, 0x416c, 0x3ffc, 0x4179, 0x3ffc, 0x4186, 0x3ffb,
-    0x4192, 0x3ffb, 0x419f, 0x3ffb, 0x41ab, 0x3ffa, 0x41b8, 0x3ffa,
-    0x41c4, 0x3ffa, 0x41d1, 0x3ff9, 0x41dd, 0x3ff9, 0x41ea, 0x3ff9,
-    0x41f7, 0x3ff8, 0x4203, 0x3ff8, 0x4210, 0x3ff7, 0x421c, 0x3ff7,
-    0x4229, 0x3ff7, 0x4235, 0x3ff6, 0x4242, 0x3ff6, 0x424e, 0x3ff5,
-    0x425b, 0x3ff5, 0x4268, 0x3ff4, 0x4274, 0x3ff4, 0x4281, 0x3ff3,
-    0x428d, 0x3ff3, 0x429a, 0x3ff2, 0x42a6, 0x3ff2, 0x42b3, 0x3ff1,
-    0x42c0, 0x3ff1, 0x42cc, 0x3ff0, 0x42d9, 0x3ff0, 0x42e5, 0x3fef,
-    0x42f2, 0x3fef, 0x42fe, 0x3fee, 0x430b, 0x3fed, 0x4317, 0x3fed,
-    0x4324, 0x3fec, 0x4330, 0x3fec, 0x433d, 0x3feb, 0x434a, 0x3fea,
-    0x4356, 0x3fea, 0x4363, 0x3fe9, 0x436f, 0x3fe8, 0x437c, 0x3fe8,
-    0x4388, 0x3fe7, 0x4395, 0x3fe6, 0x43a1, 0x3fe6, 0x43ae, 0x3fe5,
-    0x43bb, 0x3fe4, 0x43c7, 0x3fe3, 0x43d4, 0x3fe3, 0x43e0, 0x3fe2,
-    0x43ed, 0x3fe1, 0x43f9, 0x3fe0, 0x4406, 0x3fe0, 0x4412, 0x3fdf,
-    0x441f, 0x3fde, 0x442b, 0x3fdd, 0x4438, 0x3fdc, 0x4444, 0x3fdc,
-    0x4451, 0x3fdb, 0x445e, 0x3fda, 0x446a, 0x3fd9, 0x4477, 0x3fd8,
-    0x4483, 0x3fd7, 0x4490, 0x3fd6, 0x449c, 0x3fd5, 0x44a9, 0x3fd5,
-    0x44b5, 0x3fd4, 0x44c2, 0x3fd3, 0x44ce, 0x3fd2, 0x44db, 0x3fd1,
-    0x44e7, 0x3fd0, 0x44f4, 0x3fcf, 0x4500, 0x3fce, 0x450d, 0x3fcd,
-    0x451a, 0x3fcc, 0x4526, 0x3fcb, 0x4533, 0x3fca, 0x453f, 0x3fc9,
-    0x454c, 0x3fc8, 0x4558, 0x3fc7, 0x4565, 0x3fc6, 0x4571, 0x3fc5,
-    0x457e, 0x3fc4, 0x458a, 0x3fc3, 0x4597, 0x3fc1, 0x45a3, 0x3fc0,
-    0x45b0, 0x3fbf, 0x45bc, 0x3fbe, 0x45c9, 0x3fbd, 0x45d5, 0x3fbc,
-    0x45e2, 0x3fbb, 0x45ee, 0x3fb9, 0x45fb, 0x3fb8, 0x4607, 0x3fb7,
-    0x4614, 0x3fb6, 0x4620, 0x3fb5, 0x462d, 0x3fb4, 0x4639, 0x3fb2,
-    0x4646, 0x3fb1, 0x4652, 0x3fb0, 0x465f, 0x3faf, 0x466b, 0x3fad,
-    0x4678, 0x3fac, 0x4684, 0x3fab, 0x4691, 0x3faa, 0x469d, 0x3fa8,
-    0x46aa, 0x3fa7, 0x46b6, 0x3fa6, 0x46c3, 0x3fa4, 0x46cf, 0x3fa3,
-    0x46dc, 0x3fa2, 0x46e8, 0x3fa0, 0x46f5, 0x3f9f, 0x4701, 0x3f9e,
-    0x470e, 0x3f9c, 0x471a, 0x3f9b, 0x4727, 0x3f99, 0x4733, 0x3f98,
-    0x4740, 0x3f97, 0x474c, 0x3f95, 0x4759, 0x3f94, 0x4765, 0x3f92,
-    0x4772, 0x3f91, 0x477e, 0x3f8f, 0x478b, 0x3f8e, 0x4797, 0x3f8c,
-    0x47a4, 0x3f8b, 0x47b0, 0x3f89, 0x47bd, 0x3f88, 0x47c9, 0x3f86,
-    0x47d6, 0x3f85, 0x47e2, 0x3f83, 0x47ef, 0x3f82, 0x47fb, 0x3f80,
-    0x4807, 0x3f7f, 0x4814, 0x3f7d, 0x4820, 0x3f7b, 0x482d, 0x3f7a,
-    0x4839, 0x3f78, 0x4846, 0x3f77, 0x4852, 0x3f75, 0x485f, 0x3f73,
-    0x486b, 0x3f72, 0x4878, 0x3f70, 0x4884, 0x3f6e, 0x4891, 0x3f6d,
-    0x489d, 0x3f6b, 0x48a9, 0x3f69, 0x48b6, 0x3f68, 0x48c2, 0x3f66,
-    0x48cf, 0x3f64, 0x48db, 0x3f62, 0x48e8, 0x3f61, 0x48f4, 0x3f5f,
-    0x4901, 0x3f5d, 0x490d, 0x3f5b, 0x4919, 0x3f5a, 0x4926, 0x3f58,
-    0x4932, 0x3f56, 0x493f, 0x3f54, 0x494b, 0x3f52, 0x4958, 0x3f51,
-    0x4964, 0x3f4f, 0x4970, 0x3f4d, 0x497d, 0x3f4b, 0x4989, 0x3f49,
-    0x4996, 0x3f47, 0x49a2, 0x3f45, 0x49af, 0x3f43, 0x49bb, 0x3f42,
-    0x49c7, 0x3f40, 0x49d4, 0x3f3e, 0x49e0, 0x3f3c, 0x49ed, 0x3f3a,
-    0x49f9, 0x3f38, 0x4a06, 0x3f36, 0x4a12, 0x3f34, 0x4a1e, 0x3f32,
-    0x4a2b, 0x3f30, 0x4a37, 0x3f2e, 0x4a44, 0x3f2c, 0x4a50, 0x3f2a,
-    0x4a5c, 0x3f28, 0x4a69, 0x3f26, 0x4a75, 0x3f24, 0x4a82, 0x3f22,
-    0x4a8e, 0x3f20, 0x4a9a, 0x3f1e, 0x4aa7, 0x3f1c, 0x4ab3, 0x3f19,
-    0x4ac0, 0x3f17, 0x4acc, 0x3f15, 0x4ad8, 0x3f13, 0x4ae5, 0x3f11,
-    0x4af1, 0x3f0f, 0x4afd, 0x3f0d, 0x4b0a, 0x3f0a, 0x4b16, 0x3f08,
-    0x4b23, 0x3f06, 0x4b2f, 0x3f04, 0x4b3b, 0x3f02, 0x4b48, 0x3f00,
-    0x4b54, 0x3efd, 0x4b60, 0x3efb, 0x4b6d, 0x3ef9, 0x4b79, 0x3ef7,
-    0x4b85, 0x3ef4, 0x4b92, 0x3ef2, 0x4b9e, 0x3ef0, 0x4bab, 0x3eed,
-    0x4bb7, 0x3eeb, 0x4bc3, 0x3ee9, 0x4bd0, 0x3ee7, 0x4bdc, 0x3ee4,
-    0x4be8, 0x3ee2, 0x4bf5, 0x3ee0, 0x4c01, 0x3edd, 0x4c0d, 0x3edb,
-    0x4c1a, 0x3ed8, 0x4c26, 0x3ed6, 0x4c32, 0x3ed4, 0x4c3f, 0x3ed1,
-    0x4c4b, 0x3ecf, 0x4c57, 0x3ecc, 0x4c64, 0x3eca, 0x4c70, 0x3ec8,
-    0x4c7c, 0x3ec5, 0x4c89, 0x3ec3, 0x4c95, 0x3ec0, 0x4ca1, 0x3ebe,
-    0x4cae, 0x3ebb, 0x4cba, 0x3eb9, 0x4cc6, 0x3eb6, 0x4cd3, 0x3eb4,
-    0x4cdf, 0x3eb1, 0x4ceb, 0x3eaf, 0x4cf8, 0x3eac, 0x4d04, 0x3eaa,
-    0x4d10, 0x3ea7, 0x4d1c, 0x3ea5, 0x4d29, 0x3ea2, 0x4d35, 0x3e9f,
-    0x4d41, 0x3e9d, 0x4d4e, 0x3e9a, 0x4d5a, 0x3e98, 0x4d66, 0x3e95,
-    0x4d72, 0x3e92, 0x4d7f, 0x3e90, 0x4d8b, 0x3e8d, 0x4d97, 0x3e8a,
-    0x4da4, 0x3e88, 0x4db0, 0x3e85, 0x4dbc, 0x3e82, 0x4dc8, 0x3e80,
-    0x4dd5, 0x3e7d, 0x4de1, 0x3e7a, 0x4ded, 0x3e77, 0x4df9, 0x3e75,
-    0x4e06, 0x3e72, 0x4e12, 0x3e6f, 0x4e1e, 0x3e6c, 0x4e2b, 0x3e6a,
-    0x4e37, 0x3e67, 0x4e43, 0x3e64, 0x4e4f, 0x3e61, 0x4e5c, 0x3e5e,
-    0x4e68, 0x3e5c, 0x4e74, 0x3e59, 0x4e80, 0x3e56, 0x4e8c, 0x3e53,
-    0x4e99, 0x3e50, 0x4ea5, 0x3e4d, 0x4eb1, 0x3e4a, 0x4ebd, 0x3e48,
-    0x4eca, 0x3e45, 0x4ed6, 0x3e42, 0x4ee2, 0x3e3f, 0x4eee, 0x3e3c,
-    0x4efb, 0x3e39, 0x4f07, 0x3e36, 0x4f13, 0x3e33, 0x4f1f, 0x3e30,
-    0x4f2b, 0x3e2d, 0x4f38, 0x3e2a, 0x4f44, 0x3e27, 0x4f50, 0x3e24,
-    0x4f5c, 0x3e21, 0x4f68, 0x3e1e, 0x4f75, 0x3e1b, 0x4f81, 0x3e18,
-    0x4f8d, 0x3e15, 0x4f99, 0x3e12, 0x4fa5, 0x3e0f, 0x4fb2, 0x3e0c,
-    0x4fbe, 0x3e09, 0x4fca, 0x3e06, 0x4fd6, 0x3e03, 0x4fe2, 0x3dff,
-    0x4fee, 0x3dfc, 0x4ffb, 0x3df9, 0x5007, 0x3df6, 0x5013, 0x3df3,
-    0x501f, 0x3df0, 0x502b, 0x3ded, 0x5037, 0x3de9, 0x5044, 0x3de6,
-    0x5050, 0x3de3, 0x505c, 0x3de0, 0x5068, 0x3ddd, 0x5074, 0x3dd9,
-    0x5080, 0x3dd6, 0x508c, 0x3dd3, 0x5099, 0x3dd0, 0x50a5, 0x3dcc,
-    0x50b1, 0x3dc9, 0x50bd, 0x3dc6, 0x50c9, 0x3dc2, 0x50d5, 0x3dbf,
-    0x50e1, 0x3dbc, 0x50ed, 0x3db9, 0x50fa, 0x3db5, 0x5106, 0x3db2,
-    0x5112, 0x3daf, 0x511e, 0x3dab, 0x512a, 0x3da8, 0x5136, 0x3da4,
-    0x5142, 0x3da1, 0x514e, 0x3d9e, 0x515a, 0x3d9a, 0x5167, 0x3d97,
-    0x5173, 0x3d93, 0x517f, 0x3d90, 0x518b, 0x3d8d, 0x5197, 0x3d89,
-    0x51a3, 0x3d86, 0x51af, 0x3d82, 0x51bb, 0x3d7f, 0x51c7, 0x3d7b,
-    0x51d3, 0x3d78, 0x51df, 0x3d74, 0x51eb, 0x3d71, 0x51f7, 0x3d6d,
-    0x5204, 0x3d6a, 0x5210, 0x3d66, 0x521c, 0x3d63, 0x5228, 0x3d5f,
-    0x5234, 0x3d5b, 0x5240, 0x3d58, 0x524c, 0x3d54, 0x5258, 0x3d51,
-    0x5264, 0x3d4d, 0x5270, 0x3d49, 0x527c, 0x3d46, 0x5288, 0x3d42,
-    0x5294, 0x3d3f, 0x52a0, 0x3d3b, 0x52ac, 0x3d37, 0x52b8, 0x3d34,
-    0x52c4, 0x3d30, 0x52d0, 0x3d2c, 0x52dc, 0x3d28, 0x52e8, 0x3d25,
-    0x52f4, 0x3d21, 0x5300, 0x3d1d, 0x530c, 0x3d1a, 0x5318, 0x3d16,
-    0x5324, 0x3d12, 0x5330, 0x3d0e, 0x533c, 0x3d0b, 0x5348, 0x3d07,
-    0x5354, 0x3d03, 0x5360, 0x3cff, 0x536c, 0x3cfb, 0x5378, 0x3cf8,
-    0x5384, 0x3cf4, 0x5390, 0x3cf0, 0x539c, 0x3cec, 0x53a8, 0x3ce8,
-    0x53b4, 0x3ce4, 0x53c0, 0x3ce0, 0x53cc, 0x3cdd, 0x53d8, 0x3cd9,
-    0x53e4, 0x3cd5, 0x53f0, 0x3cd1, 0x53fb, 0x3ccd, 0x5407, 0x3cc9,
-    0x5413, 0x3cc5, 0x541f, 0x3cc1, 0x542b, 0x3cbd, 0x5437, 0x3cb9,
-    0x5443, 0x3cb5, 0x544f, 0x3cb1, 0x545b, 0x3cad, 0x5467, 0x3ca9,
-    0x5473, 0x3ca5, 0x547f, 0x3ca1, 0x548b, 0x3c9d, 0x5496, 0x3c99,
-    0x54a2, 0x3c95, 0x54ae, 0x3c91, 0x54ba, 0x3c8d, 0x54c6, 0x3c89,
-    0x54d2, 0x3c85, 0x54de, 0x3c81, 0x54ea, 0x3c7d, 0x54f6, 0x3c79,
-    0x5501, 0x3c74, 0x550d, 0x3c70, 0x5519, 0x3c6c, 0x5525, 0x3c68,
-    0x5531, 0x3c64, 0x553d, 0x3c60, 0x5549, 0x3c5b, 0x5554, 0x3c57,
-    0x5560, 0x3c53, 0x556c, 0x3c4f, 0x5578, 0x3c4b, 0x5584, 0x3c46,
-    0x5590, 0x3c42, 0x559b, 0x3c3e, 0x55a7, 0x3c3a, 0x55b3, 0x3c36,
-    0x55bf, 0x3c31, 0x55cb, 0x3c2d, 0x55d7, 0x3c29, 0x55e2, 0x3c24,
-    0x55ee, 0x3c20, 0x55fa, 0x3c1c, 0x5606, 0x3c17, 0x5612, 0x3c13,
-    0x561d, 0x3c0f, 0x5629, 0x3c0a, 0x5635, 0x3c06, 0x5641, 0x3c02,
-    0x564c, 0x3bfd, 0x5658, 0x3bf9, 0x5664, 0x3bf5, 0x5670, 0x3bf0,
-    0x567c, 0x3bec, 0x5687, 0x3be7, 0x5693, 0x3be3, 0x569f, 0x3bde,
-    0x56ab, 0x3bda, 0x56b6, 0x3bd6, 0x56c2, 0x3bd1, 0x56ce, 0x3bcd,
-    0x56da, 0x3bc8, 0x56e5, 0x3bc4, 0x56f1, 0x3bbf, 0x56fd, 0x3bbb,
-    0x5709, 0x3bb6, 0x5714, 0x3bb2, 0x5720, 0x3bad, 0x572c, 0x3ba9,
-    0x5737, 0x3ba4, 0x5743, 0x3b9f, 0x574f, 0x3b9b, 0x575b, 0x3b96,
-    0x5766, 0x3b92, 0x5772, 0x3b8d, 0x577e, 0x3b88, 0x5789, 0x3b84,
-    0x5795, 0x3b7f, 0x57a1, 0x3b7b, 0x57ac, 0x3b76, 0x57b8, 0x3b71,
-    0x57c4, 0x3b6d, 0x57cf, 0x3b68, 0x57db, 0x3b63, 0x57e7, 0x3b5f,
-    0x57f2, 0x3b5a, 0x57fe, 0x3b55, 0x580a, 0x3b50, 0x5815, 0x3b4c,
-    0x5821, 0x3b47, 0x582d, 0x3b42, 0x5838, 0x3b3e, 0x5844, 0x3b39,
-    0x584f, 0x3b34, 0x585b, 0x3b2f, 0x5867, 0x3b2a, 0x5872, 0x3b26,
-    0x587e, 0x3b21, 0x5889, 0x3b1c, 0x5895, 0x3b17, 0x58a1, 0x3b12,
-    0x58ac, 0x3b0e, 0x58b8, 0x3b09, 0x58c3, 0x3b04, 0x58cf, 0x3aff,
-    0x58db, 0x3afa, 0x58e6, 0x3af5, 0x58f2, 0x3af0, 0x58fd, 0x3aeb,
-    0x5909, 0x3ae6, 0x5914, 0x3ae2, 0x5920, 0x3add, 0x592c, 0x3ad8,
-    0x5937, 0x3ad3, 0x5943, 0x3ace, 0x594e, 0x3ac9, 0x595a, 0x3ac4,
-    0x5965, 0x3abf, 0x5971, 0x3aba, 0x597c, 0x3ab5, 0x5988, 0x3ab0,
-    0x5993, 0x3aab, 0x599f, 0x3aa6, 0x59aa, 0x3aa1, 0x59b6, 0x3a9c,
-    0x59c1, 0x3a97, 0x59cd, 0x3a92, 0x59d8, 0x3a8d, 0x59e4, 0x3a88,
-    0x59ef, 0x3a82, 0x59fb, 0x3a7d, 0x5a06, 0x3a78, 0x5a12, 0x3a73,
-    0x5a1d, 0x3a6e, 0x5a29, 0x3a69, 0x5a34, 0x3a64, 0x5a40, 0x3a5f,
-    0x5a4b, 0x3a59, 0x5a57, 0x3a54, 0x5a62, 0x3a4f, 0x5a6e, 0x3a4a,
-    0x5a79, 0x3a45, 0x5a84, 0x3a3f, 0x5a90, 0x3a3a, 0x5a9b, 0x3a35,
-    0x5aa7, 0x3a30, 0x5ab2, 0x3a2b, 0x5abe, 0x3a25, 0x5ac9, 0x3a20,
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-    0x47a4, 0xc075, 0x4797, 0xc074, 0x478b, 0xc072, 0x477e, 0xc071,
-    0x4772, 0xc06f, 0x4765, 0xc06e, 0x4759, 0xc06c, 0x474c, 0xc06b,
-    0x4740, 0xc069, 0x4733, 0xc068, 0x4727, 0xc067, 0x471a, 0xc065,
-    0x470e, 0xc064, 0x4701, 0xc062, 0x46f5, 0xc061, 0x46e8, 0xc060,
-    0x46dc, 0xc05e, 0x46cf, 0xc05d, 0x46c3, 0xc05c, 0x46b6, 0xc05a,
-    0x46aa, 0xc059, 0x469d, 0xc058, 0x4691, 0xc056, 0x4684, 0xc055,
-    0x4678, 0xc054, 0x466b, 0xc053, 0x465f, 0xc051, 0x4652, 0xc050,
-    0x4646, 0xc04f, 0x4639, 0xc04e, 0x462d, 0xc04c, 0x4620, 0xc04b,
-    0x4614, 0xc04a, 0x4607, 0xc049, 0x45fb, 0xc048, 0x45ee, 0xc047,
-    0x45e2, 0xc045, 0x45d5, 0xc044, 0x45c9, 0xc043, 0x45bc, 0xc042,
-    0x45b0, 0xc041, 0x45a3, 0xc040, 0x4597, 0xc03f, 0x458a, 0xc03d,
-    0x457e, 0xc03c, 0x4571, 0xc03b, 0x4565, 0xc03a, 0x4558, 0xc039,
-    0x454c, 0xc038, 0x453f, 0xc037, 0x4533, 0xc036, 0x4526, 0xc035,
-    0x451a, 0xc034, 0x450d, 0xc033, 0x4500, 0xc032, 0x44f4, 0xc031,
-    0x44e7, 0xc030, 0x44db, 0xc02f, 0x44ce, 0xc02e, 0x44c2, 0xc02d,
-    0x44b5, 0xc02c, 0x44a9, 0xc02b, 0x449c, 0xc02b, 0x4490, 0xc02a,
-    0x4483, 0xc029, 0x4477, 0xc028, 0x446a, 0xc027, 0x445e, 0xc026,
-    0x4451, 0xc025, 0x4444, 0xc024, 0x4438, 0xc024, 0x442b, 0xc023,
-    0x441f, 0xc022, 0x4412, 0xc021, 0x4406, 0xc020, 0x43f9, 0xc020,
-    0x43ed, 0xc01f, 0x43e0, 0xc01e, 0x43d4, 0xc01d, 0x43c7, 0xc01d,
-    0x43bb, 0xc01c, 0x43ae, 0xc01b, 0x43a1, 0xc01a, 0x4395, 0xc01a,
-    0x4388, 0xc019, 0x437c, 0xc018, 0x436f, 0xc018, 0x4363, 0xc017,
-    0x4356, 0xc016, 0x434a, 0xc016, 0x433d, 0xc015, 0x4330, 0xc014,
-    0x4324, 0xc014, 0x4317, 0xc013, 0x430b, 0xc013, 0x42fe, 0xc012,
-    0x42f2, 0xc011, 0x42e5, 0xc011, 0x42d9, 0xc010, 0x42cc, 0xc010,
-    0x42c0, 0xc00f, 0x42b3, 0xc00f, 0x42a6, 0xc00e, 0x429a, 0xc00e,
-    0x428d, 0xc00d, 0x4281, 0xc00d, 0x4274, 0xc00c, 0x4268, 0xc00c,
-    0x425b, 0xc00b, 0x424e, 0xc00b, 0x4242, 0xc00a, 0x4235, 0xc00a,
-    0x4229, 0xc009, 0x421c, 0xc009, 0x4210, 0xc009, 0x4203, 0xc008,
-    0x41f7, 0xc008, 0x41ea, 0xc007, 0x41dd, 0xc007, 0x41d1, 0xc007,
-    0x41c4, 0xc006, 0x41b8, 0xc006, 0x41ab, 0xc006, 0x419f, 0xc005,
-    0x4192, 0xc005, 0x4186, 0xc005, 0x4179, 0xc004, 0x416c, 0xc004,
-    0x4160, 0xc004, 0x4153, 0xc004, 0x4147, 0xc003, 0x413a, 0xc003,
-    0x412e, 0xc003, 0x4121, 0xc003, 0x4114, 0xc002, 0x4108, 0xc002,
-    0x40fb, 0xc002, 0x40ef, 0xc002, 0x40e2, 0xc002, 0x40d6, 0xc001,
-    0x40c9, 0xc001, 0x40bc, 0xc001, 0x40b0, 0xc001, 0x40a3, 0xc001,
-    0x4097, 0xc001, 0x408a, 0xc001, 0x407e, 0xc000, 0x4071, 0xc000,
-    0x4065, 0xc000, 0x4058, 0xc000, 0x404b, 0xc000, 0x403f, 0xc000,
-    0x4032, 0xc000, 0x4026, 0xc000, 0x4019, 0xc000, 0x400d, 0xc000,
-};
-
-/**    
-* @brief  Initialization function for the Q15 RFFT/RIFFT.   
-* @param[in, out] *S             points to an instance of the Q15 RFFT/RIFFT structure.   
-* @param[in]      fftLenReal     length of the FFT.   
-* @param[in]      ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
-* @param[in]      bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value.   
-*    
-* \par Description:   
-* \par   
-* The parameter fftLenReal	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.    
-* \par    
-* The parameter ifftFlagR controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par    
-* This function also initializes Twiddle factor table.     
-*/
-arm_status arm_rfft_init_q15(
-    arm_rfft_instance_q15 * S,
-    uint32_t fftLenReal,
-    uint32_t ifftFlagR,
-    uint32_t bitReverseFlag)
-{
-    /*  Initialise the default arm status */
-    arm_status status = ARM_MATH_SUCCESS;
-
-    /*  Initialize the Real FFT length */
-    S->fftLenReal = (uint16_t) fftLenReal;
-
-    /*  Initialize the Twiddle coefficientA pointer */
-    S->pTwiddleAReal = (q15_t *) realCoefAQ15;
-
-    /*  Initialize the Twiddle coefficientB pointer */
-    S->pTwiddleBReal = (q15_t *) realCoefBQ15;
-
-    /*  Initialize the Flag for selection of RFFT or RIFFT */
-    S->ifftFlagR = (uint8_t) ifftFlagR;
-
-    /*  Initialize the Flag for calculation Bit reversal or not */
-    S->bitReverseFlagR = (uint8_t) bitReverseFlag;
-
-    /*  Initialization of coef modifier depending on the FFT length */
-    switch (S->fftLenReal)
-    {
-    case 8192u:
-        S->twidCoefRModifier = 1u;
-        S->pCfft = &arm_cfft_sR_q15_len4096;
-        break;
-    case 4096u:
-        S->twidCoefRModifier = 2u;
-        S->pCfft = &arm_cfft_sR_q15_len2048;
-        break;
-    case 2048u:
-        S->twidCoefRModifier = 4u;
-        S->pCfft = &arm_cfft_sR_q15_len1024;
-        break;
-    case 1024u:
-        S->twidCoefRModifier = 8u;
-        S->pCfft = &arm_cfft_sR_q15_len512;
-        break;
-    case 512u:
-        S->twidCoefRModifier = 16u;
-        S->pCfft = &arm_cfft_sR_q15_len256;
-        break;
-    case 256u:
-        S->twidCoefRModifier = 32u;
-        S->pCfft = &arm_cfft_sR_q15_len128;
-        break;
-    case 128u:
-        S->twidCoefRModifier = 64u;
-        S->pCfft = &arm_cfft_sR_q15_len64;
-        break;
-    case 64u:
-        S->twidCoefRModifier = 128u;
-        S->pCfft = &arm_cfft_sR_q15_len32;
-        break;
-    case 32u:
-        S->twidCoefRModifier = 256u;
-        S->pCfft = &arm_cfft_sR_q15_len16;
-        break;
-    default:
-        /*  Reporting argument error if rfftSize is not valid value */
-        status = ARM_MATH_ARGUMENT_ERROR;
-        break;
-    }
-
-    /* return the status of RFFT Init function */
-    return (status);
-}
-
-/**    
-* @} end of RealFFT group    
-*/
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q31.c
deleted file mode 100644
index 8ff254c0..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q31.c
+++ /dev/null
@@ -1,4285 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_init_q31.c    
-*    
-* Description:	RFFT & RIFFT Q31 initialisation function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-#include "arm_const_structs.h"
-
-/**    
-* @ingroup groupTransforms    
-*/
-
-/**    
-* @addtogroup RealFFT    
-* @{    
-*/
-
-/**    
-* \par    
-* Generation fixed-point realCoefAQ31 array in Q31 format:    
-* \par    
-* n = 4096    
-* 
for (i = 0; i < n; i++)    
-* {    
-*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-* }
    
-* \par    
-* Convert to fixed point Q31 format    
-*     round(pATable[i] * pow(2, 31))    
-*/
-
-
-static const q31_t realCoefAQ31[8192] = {
-    0x40000000, 0xc0000000, 0x3ff36f02, 0xc000013c,
-    0x3fe6de05, 0xc00004ef, 0x3fda4d09, 0xc0000b1a,
-    0x3fcdbc0f, 0xc00013bd, 0x3fc12b16, 0xc0001ed8,
-    0x3fb49a1f, 0xc0002c6a, 0x3fa8092c, 0xc0003c74,
-    0x3f9b783c, 0xc0004ef5, 0x3f8ee750, 0xc00063ee,
-    0x3f825668, 0xc0007b5f, 0x3f75c585, 0xc0009547,
-    0x3f6934a8, 0xc000b1a7, 0x3f5ca3d0, 0xc000d07e,
-    0x3f5012fe, 0xc000f1ce, 0x3f438234, 0xc0011594,
-    0x3f36f170, 0xc0013bd3, 0x3f2a60b4, 0xc0016489,
-    0x3f1dd001, 0xc0018fb6, 0x3f113f56, 0xc001bd5c,
-    0x3f04aeb5, 0xc001ed78, 0x3ef81e1d, 0xc002200d,
-    0x3eeb8d8f, 0xc0025519, 0x3edefd0c, 0xc0028c9c,
-    0x3ed26c94, 0xc002c697, 0x3ec5dc28, 0xc003030a,
-    0x3eb94bc8, 0xc00341f4, 0x3eacbb74, 0xc0038356,
-    0x3ea02b2e, 0xc003c72f, 0x3e939af5, 0xc0040d80,
-    0x3e870aca, 0xc0045648, 0x3e7a7aae, 0xc004a188,
-    0x3e6deaa1, 0xc004ef3f, 0x3e615aa3, 0xc0053f6e,
-    0x3e54cab5, 0xc0059214, 0x3e483ad8, 0xc005e731,
-    0x3e3bab0b, 0xc0063ec6, 0x3e2f1b50, 0xc00698d3,
-    0x3e228ba7, 0xc006f556, 0x3e15fc11, 0xc0075452,
-    0x3e096c8d, 0xc007b5c4, 0x3dfcdd1d, 0xc00819ae,
-    0x3df04dc0, 0xc008800f, 0x3de3be78, 0xc008e8e8,
-    0x3dd72f45, 0xc0095438, 0x3dcaa027, 0xc009c1ff,
-    0x3dbe111e, 0xc00a323d, 0x3db1822c, 0xc00aa4f3,
-    0x3da4f351, 0xc00b1a20, 0x3d98648d, 0xc00b91c4,
-    0x3d8bd5e1, 0xc00c0be0, 0x3d7f474d, 0xc00c8872,
-    0x3d72b8d2, 0xc00d077c, 0x3d662a70, 0xc00d88fd,
-    0x3d599c28, 0xc00e0cf5, 0x3d4d0df9, 0xc00e9364,
-    0x3d407fe6, 0xc00f1c4a, 0x3d33f1ed, 0xc00fa7a8,
-    0x3d276410, 0xc010357c, 0x3d1ad650, 0xc010c5c7,
-    0x3d0e48ab, 0xc011588a, 0x3d01bb24, 0xc011edc3,
-    0x3cf52dbb, 0xc0128574, 0x3ce8a06f, 0xc0131f9b,
-    0x3cdc1342, 0xc013bc39, 0x3ccf8634, 0xc0145b4e,
-    0x3cc2f945, 0xc014fcda, 0x3cb66c77, 0xc015a0dd,
-    0x3ca9dfc8, 0xc0164757, 0x3c9d533b, 0xc016f047,
-    0x3c90c6cf, 0xc0179bae, 0x3c843a85, 0xc018498c,
-    0x3c77ae5e, 0xc018f9e1, 0x3c6b2259, 0xc019acac,
-    0x3c5e9678, 0xc01a61ee, 0x3c520aba, 0xc01b19a7,
-    0x3c457f21, 0xc01bd3d6, 0x3c38f3ac, 0xc01c907c,
-    0x3c2c685d, 0xc01d4f99, 0x3c1fdd34, 0xc01e112b,
-    0x3c135231, 0xc01ed535, 0x3c06c754, 0xc01f9bb5,
-    0x3bfa3c9f, 0xc02064ab, 0x3bedb212, 0xc0213018,
-    0x3be127ac, 0xc021fdfb, 0x3bd49d70, 0xc022ce54,
-    0x3bc8135c, 0xc023a124, 0x3bbb8973, 0xc024766a,
-    0x3baeffb3, 0xc0254e27, 0x3ba2761e, 0xc0262859,
-    0x3b95ecb4, 0xc0270502, 0x3b896375, 0xc027e421,
-    0x3b7cda63, 0xc028c5b6, 0x3b70517d, 0xc029a9c1,
-    0x3b63c8c4, 0xc02a9042, 0x3b574039, 0xc02b7939,
-    0x3b4ab7db, 0xc02c64a6, 0x3b3e2fac, 0xc02d5289,
-    0x3b31a7ac, 0xc02e42e2, 0x3b251fdc, 0xc02f35b1,
-    0x3b18983b, 0xc0302af5, 0x3b0c10cb, 0xc03122b0,
-    0x3aff898c, 0xc0321ce0, 0x3af3027e, 0xc0331986,
-    0x3ae67ba2, 0xc03418a2, 0x3ad9f4f8, 0xc0351a33,
-    0x3acd6e81, 0xc0361e3a, 0x3ac0e83d, 0xc03724b6,
-    0x3ab4622d, 0xc0382da8, 0x3aa7dc52, 0xc0393910,
-    0x3a9b56ab, 0xc03a46ed, 0x3a8ed139, 0xc03b573f,
-    0x3a824bfd, 0xc03c6a07, 0x3a75c6f8, 0xc03d7f44,
-    0x3a694229, 0xc03e96f6, 0x3a5cbd91, 0xc03fb11d,
-    0x3a503930, 0xc040cdba, 0x3a43b508, 0xc041eccc,
-    0x3a373119, 0xc0430e53, 0x3a2aad62, 0xc044324f,
-    0x3a1e29e5, 0xc04558c0, 0x3a11a6a3, 0xc04681a6,
-    0x3a05239a, 0xc047ad01, 0x39f8a0cd, 0xc048dad1,
-    0x39ec1e3b, 0xc04a0b16, 0x39df9be6, 0xc04b3dcf,
-    0x39d319cc, 0xc04c72fe, 0x39c697f0, 0xc04daaa1,
-    0x39ba1651, 0xc04ee4b8, 0x39ad94f0, 0xc0502145,
-    0x39a113cd, 0xc0516045, 0x399492ea, 0xc052a1bb,
-    0x39881245, 0xc053e5a5, 0x397b91e1, 0xc0552c03,
-    0x396f11bc, 0xc05674d6, 0x396291d9, 0xc057c01d,
-    0x39561237, 0xc0590dd8, 0x394992d7, 0xc05a5e07,
-    0x393d13b8, 0xc05bb0ab, 0x393094dd, 0xc05d05c3,
-    0x39241645, 0xc05e5d4e, 0x391797f0, 0xc05fb74e,
-    0x390b19e0, 0xc06113c2, 0x38fe9c15, 0xc06272aa,
-    0x38f21e8e, 0xc063d405, 0x38e5a14d, 0xc06537d4,
-    0x38d92452, 0xc0669e18, 0x38cca79e, 0xc06806ce,
-    0x38c02b31, 0xc06971f9, 0x38b3af0c, 0xc06adf97,
-    0x38a7332e, 0xc06c4fa8, 0x389ab799, 0xc06dc22e,
-    0x388e3c4d, 0xc06f3726, 0x3881c14b, 0xc070ae92,
-    0x38754692, 0xc0722871, 0x3868cc24, 0xc073a4c3,
-    0x385c5201, 0xc0752389, 0x384fd829, 0xc076a4c2,
-    0x38435e9d, 0xc078286e, 0x3836e55d, 0xc079ae8c,
-    0x382a6c6a, 0xc07b371e, 0x381df3c5, 0xc07cc223,
-    0x38117b6d, 0xc07e4f9b, 0x38050364, 0xc07fdf85,
-    0x37f88ba9, 0xc08171e2, 0x37ec143e, 0xc08306b2,
-    0x37df9d22, 0xc0849df4, 0x37d32657, 0xc08637a9,
-    0x37c6afdc, 0xc087d3d0, 0x37ba39b3, 0xc089726a,
-    0x37adc3db, 0xc08b1376, 0x37a14e55, 0xc08cb6f5,
-    0x3794d922, 0xc08e5ce5, 0x37886442, 0xc0900548,
-    0x377befb5, 0xc091b01d, 0x376f7b7d, 0xc0935d64,
-    0x37630799, 0xc0950d1d, 0x3756940a, 0xc096bf48,
-    0x374a20d0, 0xc09873e4, 0x373daded, 0xc09a2af3,
-    0x37313b60, 0xc09be473, 0x3724c92a, 0xc09da065,
-    0x3718574b, 0xc09f5ec8, 0x370be5c4, 0xc0a11f9d,
-    0x36ff7496, 0xc0a2e2e3, 0x36f303c0, 0xc0a4a89b,
-    0x36e69344, 0xc0a670c4, 0x36da2321, 0xc0a83b5e,
-    0x36cdb359, 0xc0aa086a, 0x36c143ec, 0xc0abd7e6,
-    0x36b4d4d9, 0xc0ada9d4, 0x36a86623, 0xc0af7e33,
-    0x369bf7c9, 0xc0b15502, 0x368f89cb, 0xc0b32e42,
-    0x36831c2b, 0xc0b509f3, 0x3676aee8, 0xc0b6e815,
-    0x366a4203, 0xc0b8c8a7, 0x365dd57d, 0xc0baabaa,
-    0x36516956, 0xc0bc911d, 0x3644fd8f, 0xc0be7901,
-    0x36389228, 0xc0c06355, 0x362c2721, 0xc0c25019,
-    0x361fbc7b, 0xc0c43f4d, 0x36135237, 0xc0c630f2,
-    0x3606e854, 0xc0c82506, 0x35fa7ed4, 0xc0ca1b8a,
-    0x35ee15b7, 0xc0cc147f, 0x35e1acfd, 0xc0ce0fe3,
-    0x35d544a7, 0xc0d00db6, 0x35c8dcb6, 0xc0d20dfa,
-    0x35bc7529, 0xc0d410ad, 0x35b00e02, 0xc0d615cf,
-    0x35a3a740, 0xc0d81d61, 0x359740e5, 0xc0da2762,
-    0x358adaf0, 0xc0dc33d2, 0x357e7563, 0xc0de42b2,
-    0x3572103d, 0xc0e05401, 0x3565ab80, 0xc0e267be,
-    0x3559472b, 0xc0e47deb, 0x354ce33f, 0xc0e69686,
-    0x35407fbd, 0xc0e8b190, 0x35341ca5, 0xc0eacf09,
-    0x3527b9f7, 0xc0eceef1, 0x351b57b5, 0xc0ef1147,
-    0x350ef5de, 0xc0f1360b, 0x35029473, 0xc0f35d3e,
-    0x34f63374, 0xc0f586df, 0x34e9d2e3, 0xc0f7b2ee,
-    0x34dd72be, 0xc0f9e16b, 0x34d11308, 0xc0fc1257,
-    0x34c4b3c0, 0xc0fe45b0, 0x34b854e7, 0xc1007b77,
-    0x34abf67e, 0xc102b3ac, 0x349f9884, 0xc104ee4f,
-    0x34933afa, 0xc1072b5f, 0x3486dde1, 0xc1096add,
-    0x347a8139, 0xc10bacc8, 0x346e2504, 0xc10df120,
-    0x3461c940, 0xc11037e6, 0x34556def, 0xc1128119,
-    0x34491311, 0xc114ccb9, 0x343cb8a7, 0xc1171ac6,
-    0x34305eb0, 0xc1196b3f, 0x3424052f, 0xc11bbe26,
-    0x3417ac22, 0xc11e1379, 0x340b538b, 0xc1206b39,
-    0x33fefb6a, 0xc122c566, 0x33f2a3bf, 0xc12521ff,
-    0x33e64c8c, 0xc1278104, 0x33d9f5cf, 0xc129e276,
-    0x33cd9f8b, 0xc12c4653, 0x33c149bf, 0xc12eac9d,
-    0x33b4f46c, 0xc1311553, 0x33a89f92, 0xc1338075,
-    0x339c4b32, 0xc135ee02, 0x338ff74d, 0xc1385dfb,
-    0x3383a3e2, 0xc13ad060, 0x337750f2, 0xc13d4530,
-    0x336afe7e, 0xc13fbc6c, 0x335eac86, 0xc1423613,
-    0x33525b0b, 0xc144b225, 0x33460a0d, 0xc14730a3,
-    0x3339b98d, 0xc149b18b, 0x332d698a, 0xc14c34df,
-    0x33211a07, 0xc14eba9d, 0x3314cb02, 0xc15142c6,
-    0x33087c7d, 0xc153cd5a, 0x32fc2e77, 0xc1565a58,
-    0x32efe0f2, 0xc158e9c1, 0x32e393ef, 0xc15b7b94,
-    0x32d7476c, 0xc15e0fd1, 0x32cafb6b, 0xc160a678,
-    0x32beafed, 0xc1633f8a, 0x32b264f2, 0xc165db05,
-    0x32a61a7a, 0xc16878eb, 0x3299d085, 0xc16b193a,
-    0x328d8715, 0xc16dbbf3, 0x32813e2a, 0xc1706115,
-    0x3274f5c3, 0xc17308a1, 0x3268ade3, 0xc175b296,
-    0x325c6688, 0xc1785ef4, 0x32501fb5, 0xc17b0dbb,
-    0x3243d968, 0xc17dbeec, 0x323793a3, 0xc1807285,
-    0x322b4e66, 0xc1832888, 0x321f09b1, 0xc185e0f3,
-    0x3212c585, 0xc1889bc6, 0x320681e3, 0xc18b5903,
-    0x31fa3ecb, 0xc18e18a7, 0x31edfc3d, 0xc190dab4,
-    0x31e1ba3a, 0xc1939f29, 0x31d578c2, 0xc1966606,
-    0x31c937d6, 0xc1992f4c, 0x31bcf777, 0xc19bfaf9,
-    0x31b0b7a4, 0xc19ec90d, 0x31a4785e, 0xc1a1998a,
-    0x319839a6, 0xc1a46c6e, 0x318bfb7d, 0xc1a741b9,
-    0x317fbde2, 0xc1aa196c, 0x317380d6, 0xc1acf386,
-    0x31674459, 0xc1afd007, 0x315b086d, 0xc1b2aef0,
-    0x314ecd11, 0xc1b5903f, 0x31429247, 0xc1b873f5,
-    0x3136580d, 0xc1bb5a11, 0x312a1e66, 0xc1be4294,
-    0x311de551, 0xc1c12d7e, 0x3111accf, 0xc1c41ace,
-    0x310574e0, 0xc1c70a84, 0x30f93d86, 0xc1c9fca0,
-    0x30ed06bf, 0xc1ccf122, 0x30e0d08d, 0xc1cfe80a,
-    0x30d49af1, 0xc1d2e158, 0x30c865ea, 0xc1d5dd0c,
-    0x30bc317a, 0xc1d8db25, 0x30affda0, 0xc1dbdba3,
-    0x30a3ca5d, 0xc1dede87, 0x309797b2, 0xc1e1e3d0,
-    0x308b659f, 0xc1e4eb7e, 0x307f3424, 0xc1e7f591,
-    0x30730342, 0xc1eb0209, 0x3066d2fa, 0xc1ee10e5,
-    0x305aa34c, 0xc1f12227, 0x304e7438, 0xc1f435cc,
-    0x304245c0, 0xc1f74bd6, 0x303617e2, 0xc1fa6445,
-    0x3029eaa1, 0xc1fd7f17, 0x301dbdfb, 0xc2009c4e,
-    0x301191f3, 0xc203bbe8, 0x30056687, 0xc206dde6,
-    0x2ff93bba, 0xc20a0248, 0x2fed118a, 0xc20d290d,
-    0x2fe0e7f9, 0xc2105236, 0x2fd4bf08, 0xc2137dc2,
-    0x2fc896b5, 0xc216abb1, 0x2fbc6f03, 0xc219dc03,
-    0x2fb047f2, 0xc21d0eb8, 0x2fa42181, 0xc22043d0,
-    0x2f97fbb2, 0xc2237b4b, 0x2f8bd685, 0xc226b528,
-    0x2f7fb1fa, 0xc229f167, 0x2f738e12, 0xc22d3009,
-    0x2f676ace, 0xc230710d, 0x2f5b482d, 0xc233b473,
-    0x2f4f2630, 0xc236fa3b, 0x2f4304d8, 0xc23a4265,
-    0x2f36e426, 0xc23d8cf1, 0x2f2ac419, 0xc240d9de,
-    0x2f1ea4b2, 0xc244292c, 0x2f1285f2, 0xc2477adc,
-    0x2f0667d9, 0xc24aceed, 0x2efa4a67, 0xc24e255e,
-    0x2eee2d9d, 0xc2517e31, 0x2ee2117c, 0xc254d965,
-    0x2ed5f604, 0xc25836f9, 0x2ec9db35, 0xc25b96ee,
-    0x2ebdc110, 0xc25ef943, 0x2eb1a796, 0xc2625df8,
-    0x2ea58ec6, 0xc265c50e, 0x2e9976a1, 0xc2692e83,
-    0x2e8d5f29, 0xc26c9a58, 0x2e81485c, 0xc270088e,
-    0x2e75323c, 0xc2737922, 0x2e691cc9, 0xc276ec16,
-    0x2e5d0804, 0xc27a616a, 0x2e50f3ed, 0xc27dd91c,
-    0x2e44e084, 0xc281532e, 0x2e38cdcb, 0xc284cf9f,
-    0x2e2cbbc1, 0xc2884e6e, 0x2e20aa67, 0xc28bcf9c,
-    0x2e1499bd, 0xc28f5329, 0x2e0889c4, 0xc292d914,
-    0x2dfc7a7c, 0xc296615d, 0x2df06be6, 0xc299ec05,
-    0x2de45e03, 0xc29d790a, 0x2dd850d2, 0xc2a1086d,
-    0x2dcc4454, 0xc2a49a2e, 0x2dc0388a, 0xc2a82e4d,
-    0x2db42d74, 0xc2abc4c9, 0x2da82313, 0xc2af5da2,
-    0x2d9c1967, 0xc2b2f8d8, 0x2d901070, 0xc2b6966c,
-    0x2d84082f, 0xc2ba365c, 0x2d7800a5, 0xc2bdd8a9,
-    0x2d6bf9d1, 0xc2c17d52, 0x2d5ff3b5, 0xc2c52459,
-    0x2d53ee51, 0xc2c8cdbb, 0x2d47e9a5, 0xc2cc7979,
-    0x2d3be5b1, 0xc2d02794, 0x2d2fe277, 0xc2d3d80a,
-    0x2d23dff7, 0xc2d78add, 0x2d17de31, 0xc2db400a,
-    0x2d0bdd25, 0xc2def794, 0x2cffdcd4, 0xc2e2b178,
-    0x2cf3dd3f, 0xc2e66db8, 0x2ce7de66, 0xc2ea2c53,
-    0x2cdbe04a, 0xc2eded49, 0x2ccfe2ea, 0xc2f1b099,
-    0x2cc3e648, 0xc2f57644, 0x2cb7ea63, 0xc2f93e4a,
-    0x2cabef3d, 0xc2fd08a9, 0x2c9ff4d6, 0xc300d563,
-    0x2c93fb2e, 0xc304a477, 0x2c880245, 0xc30875e5,
-    0x2c7c0a1d, 0xc30c49ad, 0x2c7012b5, 0xc3101fce,
-    0x2c641c0e, 0xc313f848, 0x2c582629, 0xc317d31c,
-    0x2c4c3106, 0xc31bb049, 0x2c403ca5, 0xc31f8fcf,
-    0x2c344908, 0xc32371ae, 0x2c28562d, 0xc32755e5,
-    0x2c1c6417, 0xc32b3c75, 0x2c1072c4, 0xc32f255e,
-    0x2c048237, 0xc333109e, 0x2bf8926f, 0xc336fe37,
-    0x2beca36c, 0xc33aee27, 0x2be0b52f, 0xc33ee070,
-    0x2bd4c7ba, 0xc342d510, 0x2bc8db0b, 0xc346cc07,
-    0x2bbcef23, 0xc34ac556, 0x2bb10404, 0xc34ec0fc,
-    0x2ba519ad, 0xc352bef9, 0x2b99301f, 0xc356bf4d,
-    0x2b8d475b, 0xc35ac1f7, 0x2b815f60, 0xc35ec6f8,
-    0x2b75782f, 0xc362ce50, 0x2b6991ca, 0xc366d7fd,
-    0x2b5dac2f, 0xc36ae401, 0x2b51c760, 0xc36ef25b,
-    0x2b45e35d, 0xc373030a, 0x2b3a0027, 0xc377160f,
-    0x2b2e1dbe, 0xc37b2b6a, 0x2b223c22, 0xc37f4319,
-    0x2b165b54, 0xc3835d1e, 0x2b0a7b54, 0xc3877978,
-    0x2afe9c24, 0xc38b9827, 0x2af2bdc3, 0xc38fb92a,
-    0x2ae6e031, 0xc393dc82, 0x2adb0370, 0xc398022f,
-    0x2acf277f, 0xc39c2a2f, 0x2ac34c60, 0xc3a05484,
-    0x2ab77212, 0xc3a4812c, 0x2aab9896, 0xc3a8b028,
-    0x2a9fbfed, 0xc3ace178, 0x2a93e817, 0xc3b1151b,
-    0x2a881114, 0xc3b54b11, 0x2a7c3ae5, 0xc3b9835a,
-    0x2a70658a, 0xc3bdbdf6, 0x2a649105, 0xc3c1fae5,
-    0x2a58bd54, 0xc3c63a26, 0x2a4cea79, 0xc3ca7bba,
-    0x2a411874, 0xc3cebfa0, 0x2a354746, 0xc3d305d8,
-    0x2a2976ef, 0xc3d74e62, 0x2a1da770, 0xc3db993e,
-    0x2a11d8c8, 0xc3dfe66c, 0x2a060af9, 0xc3e435ea,
-    0x29fa3e03, 0xc3e887bb, 0x29ee71e6, 0xc3ecdbdc,
-    0x29e2a6a3, 0xc3f1324e, 0x29d6dc3b, 0xc3f58b10,
-    0x29cb12ad, 0xc3f9e624, 0x29bf49fa, 0xc3fe4388,
-    0x29b38223, 0xc402a33c, 0x29a7bb28, 0xc4070540,
-    0x299bf509, 0xc40b6994, 0x29902fc7, 0xc40fd037,
-    0x29846b63, 0xc414392b, 0x2978a7dd, 0xc418a46d,
-    0x296ce535, 0xc41d11ff, 0x2961236c, 0xc42181e0,
-    0x29556282, 0xc425f410, 0x2949a278, 0xc42a688f,
-    0x293de34e, 0xc42edf5c, 0x29322505, 0xc4335877,
-    0x2926679c, 0xc437d3e1, 0x291aab16, 0xc43c5199,
-    0x290eef71, 0xc440d19e, 0x290334af, 0xc44553f2,
-    0x28f77acf, 0xc449d892, 0x28ebc1d3, 0xc44e5f80,
-    0x28e009ba, 0xc452e8bc, 0x28d45286, 0xc4577444,
-    0x28c89c37, 0xc45c0219, 0x28bce6cd, 0xc460923b,
-    0x28b13248, 0xc46524a9, 0x28a57ea9, 0xc469b963,
-    0x2899cbf1, 0xc46e5069, 0x288e1a20, 0xc472e9bc,
-    0x28826936, 0xc477855a, 0x2876b934, 0xc47c2344,
-    0x286b0a1a, 0xc480c379, 0x285f5be9, 0xc48565f9,
-    0x2853aea1, 0xc48a0ac4, 0x28480243, 0xc48eb1db,
-    0x283c56cf, 0xc4935b3c, 0x2830ac45, 0xc49806e7,
-    0x282502a7, 0xc49cb4dd, 0x281959f4, 0xc4a1651c,
-    0x280db22d, 0xc4a617a6, 0x28020b52, 0xc4aacc7a,
-    0x27f66564, 0xc4af8397, 0x27eac063, 0xc4b43cfd,
-    0x27df1c50, 0xc4b8f8ad, 0x27d3792b, 0xc4bdb6a6,
-    0x27c7d6f4, 0xc4c276e8, 0x27bc35ad, 0xc4c73972,
-    0x27b09555, 0xc4cbfe45, 0x27a4f5ed, 0xc4d0c560,
-    0x27995776, 0xc4d58ec3, 0x278db9ef, 0xc4da5a6f,
-    0x27821d59, 0xc4df2862, 0x277681b6, 0xc4e3f89c,
-    0x276ae704, 0xc4e8cb1e, 0x275f4d45, 0xc4ed9fe7,
-    0x2753b479, 0xc4f276f7, 0x27481ca1, 0xc4f7504e,
-    0x273c85bc, 0xc4fc2bec, 0x2730efcc, 0xc50109d0,
-    0x27255ad1, 0xc505e9fb, 0x2719c6cb, 0xc50acc6b,
-    0x270e33bb, 0xc50fb121, 0x2702a1a1, 0xc514981d,
-    0x26f7107e, 0xc519815f, 0x26eb8052, 0xc51e6ce6,
-    0x26dff11d, 0xc5235ab2, 0x26d462e1, 0xc5284ac3,
-    0x26c8d59c, 0xc52d3d18, 0x26bd4951, 0xc53231b3,
-    0x26b1bdff, 0xc5372891, 0x26a633a6, 0xc53c21b4,
-    0x269aaa48, 0xc5411d1b, 0x268f21e5, 0xc5461ac6,
-    0x26839a7c, 0xc54b1ab4, 0x26781410, 0xc5501ce5,
-    0x266c8e9f, 0xc555215a, 0x26610a2a, 0xc55a2812,
-    0x265586b3, 0xc55f310d, 0x264a0438, 0xc5643c4a,
-    0x263e82bc, 0xc56949ca, 0x2633023e, 0xc56e598c,
-    0x262782be, 0xc5736b90, 0x261c043d, 0xc5787fd6,
-    0x261086bc, 0xc57d965d, 0x26050a3b, 0xc582af26,
-    0x25f98ebb, 0xc587ca31, 0x25ee143b, 0xc58ce77c,
-    0x25e29abc, 0xc5920708, 0x25d72240, 0xc59728d5,
-    0x25cbaac5, 0xc59c4ce3, 0x25c0344d, 0xc5a17330,
-    0x25b4bed8, 0xc5a69bbe, 0x25a94a67, 0xc5abc68c,
-    0x259dd6f9, 0xc5b0f399, 0x25926490, 0xc5b622e6,
-    0x2586f32c, 0xc5bb5472, 0x257b82cd, 0xc5c0883d,
-    0x25701374, 0xc5c5be47, 0x2564a521, 0xc5caf690,
-    0x255937d5, 0xc5d03118, 0x254dcb8f, 0xc5d56ddd,
-    0x25426051, 0xc5daace1, 0x2536f61b, 0xc5dfee22,
-    0x252b8cee, 0xc5e531a1, 0x252024c9, 0xc5ea775e,
-    0x2514bdad, 0xc5efbf58, 0x2509579b, 0xc5f5098f,
-    0x24fdf294, 0xc5fa5603, 0x24f28e96, 0xc5ffa4b3,
-    0x24e72ba4, 0xc604f5a0, 0x24dbc9bd, 0xc60a48c9,
-    0x24d068e2, 0xc60f9e2e, 0x24c50914, 0xc614f5cf,
-    0x24b9aa52, 0xc61a4fac, 0x24ae4c9d, 0xc61fabc4,
-    0x24a2eff6, 0xc6250a18, 0x2497945d, 0xc62a6aa6,
-    0x248c39d3, 0xc62fcd6f, 0x2480e057, 0xc6353273,
-    0x247587eb, 0xc63a99b1, 0x246a308f, 0xc6400329,
-    0x245eda43, 0xc6456edb, 0x24538507, 0xc64adcc7,
-    0x244830dd, 0xc6504ced, 0x243cddc4, 0xc655bf4c,
-    0x24318bbe, 0xc65b33e4, 0x24263ac9, 0xc660aab5,
-    0x241aeae8, 0xc66623be, 0x240f9c1a, 0xc66b9f01,
-    0x24044e60, 0xc6711c7b, 0x23f901ba, 0xc6769c2e,
-    0x23edb628, 0xc67c1e18, 0x23e26bac, 0xc681a23a,
-    0x23d72245, 0xc6872894, 0x23cbd9f4, 0xc68cb124,
-    0x23c092b9, 0xc6923bec, 0x23b54c95, 0xc697c8eb,
-    0x23aa0788, 0xc69d5820, 0x239ec393, 0xc6a2e98b,
-    0x239380b6, 0xc6a87d2d, 0x23883ef2, 0xc6ae1304,
-    0x237cfe47, 0xc6b3ab12, 0x2371beb5, 0xc6b94554,
-    0x2366803c, 0xc6bee1cd, 0x235b42df, 0xc6c4807a,
-    0x2350069b, 0xc6ca215c, 0x2344cb73, 0xc6cfc472,
-    0x23399167, 0xc6d569be, 0x232e5876, 0xc6db113d,
-    0x232320a2, 0xc6e0baf0, 0x2317e9eb, 0xc6e666d7,
-    0x230cb451, 0xc6ec14f2, 0x23017fd5, 0xc6f1c540,
-    0x22f64c77, 0xc6f777c1, 0x22eb1a37, 0xc6fd2c75,
-    0x22dfe917, 0xc702e35c, 0x22d4b916, 0xc7089c75,
-    0x22c98a35, 0xc70e57c0, 0x22be5c74, 0xc714153e,
-    0x22b32fd4, 0xc719d4ed, 0x22a80456, 0xc71f96ce,
-    0x229cd9f8, 0xc7255ae0, 0x2291b0bd, 0xc72b2123,
-    0x228688a4, 0xc730e997, 0x227b61af, 0xc736b43c,
-    0x22703bdc, 0xc73c8111, 0x2265172e, 0xc7425016,
-    0x2259f3a3, 0xc748214c, 0x224ed13d, 0xc74df4b1,
-    0x2243affc, 0xc753ca46, 0x22388fe1, 0xc759a20a,
-    0x222d70eb, 0xc75f7bfe, 0x2222531c, 0xc7655820,
-    0x22173674, 0xc76b3671, 0x220c1af3, 0xc77116f0,
-    0x22010099, 0xc776f99d, 0x21f5e768, 0xc77cde79,
-    0x21eacf5f, 0xc782c582, 0x21dfb87f, 0xc788aeb9,
-    0x21d4a2c8, 0xc78e9a1d, 0x21c98e3b, 0xc79487ae,
-    0x21be7ad8, 0xc79a776c, 0x21b368a0, 0xc7a06957,
-    0x21a85793, 0xc7a65d6e, 0x219d47b1, 0xc7ac53b1,
-    0x219238fb, 0xc7b24c20, 0x21872b72, 0xc7b846ba,
-    0x217c1f15, 0xc7be4381, 0x217113e5, 0xc7c44272,
-    0x216609e3, 0xc7ca438f, 0x215b0110, 0xc7d046d6,
-    0x214ff96a, 0xc7d64c47, 0x2144f2f3, 0xc7dc53e3,
-    0x2139edac, 0xc7e25daa, 0x212ee995, 0xc7e8699a,
-    0x2123e6ad, 0xc7ee77b3, 0x2118e4f6, 0xc7f487f6,
-    0x210de470, 0xc7fa9a62, 0x2102e51c, 0xc800aef7,
-    0x20f7e6f9, 0xc806c5b5, 0x20ecea09, 0xc80cde9b,
-    0x20e1ee4b, 0xc812f9a9, 0x20d6f3c1, 0xc81916df,
-    0x20cbfa6a, 0xc81f363d, 0x20c10247, 0xc82557c3,
-    0x20b60b58, 0xc82b7b70, 0x20ab159e, 0xc831a143,
-    0x20a0211a, 0xc837c93e, 0x20952dcb, 0xc83df35f,
-    0x208a3bb2, 0xc8441fa6, 0x207f4acf, 0xc84a4e14,
-    0x20745b24, 0xc8507ea7, 0x20696cb0, 0xc856b160,
-    0x205e7f74, 0xc85ce63e, 0x2053936f, 0xc8631d42,
-    0x2048a8a4, 0xc869566a, 0x203dbf11, 0xc86f91b7,
-    0x2032d6b8, 0xc875cf28, 0x2027ef99, 0xc87c0ebd,
-    0x201d09b4, 0xc8825077, 0x2012250a, 0xc8889454,
-    0x2007419b, 0xc88eda54, 0x1ffc5f67, 0xc8952278,
-    0x1ff17e70, 0xc89b6cbf, 0x1fe69eb4, 0xc8a1b928,
-    0x1fdbc036, 0xc8a807b4, 0x1fd0e2f5, 0xc8ae5862,
-    0x1fc606f1, 0xc8b4ab32, 0x1fbb2c2c, 0xc8bb0023,
-    0x1fb052a5, 0xc8c15736, 0x1fa57a5d, 0xc8c7b06b,
-    0x1f9aa354, 0xc8ce0bc0, 0x1f8fcd8b, 0xc8d46936,
-    0x1f84f902, 0xc8dac8cd, 0x1f7a25ba, 0xc8e12a84,
-    0x1f6f53b3, 0xc8e78e5b, 0x1f6482ed, 0xc8edf452,
-    0x1f59b369, 0xc8f45c68, 0x1f4ee527, 0xc8fac69e,
-    0x1f441828, 0xc90132f2, 0x1f394c6b, 0xc907a166,
-    0x1f2e81f3, 0xc90e11f7, 0x1f23b8be, 0xc91484a8,
-    0x1f18f0ce, 0xc91af976, 0x1f0e2a22, 0xc9217062,
-    0x1f0364bc, 0xc927e96b, 0x1ef8a09b, 0xc92e6492,
-    0x1eedddc0, 0xc934e1d6, 0x1ee31c2b, 0xc93b6137,
-    0x1ed85bdd, 0xc941e2b4, 0x1ecd9cd7, 0xc948664d,
-    0x1ec2df18, 0xc94eec03, 0x1eb822a1, 0xc95573d4,
-    0x1ead6773, 0xc95bfdc1, 0x1ea2ad8d, 0xc96289c9,
-    0x1e97f4f1, 0xc96917ec, 0x1e8d3d9e, 0xc96fa82a,
-    0x1e828796, 0xc9763a83, 0x1e77d2d8, 0xc97ccef5,
-    0x1e6d1f65, 0xc9836582, 0x1e626d3e, 0xc989fe29,
-    0x1e57bc62, 0xc99098e9, 0x1e4d0cd2, 0xc99735c2,
-    0x1e425e8f, 0xc99dd4b4, 0x1e37b199, 0xc9a475bf,
-    0x1e2d05f1, 0xc9ab18e3, 0x1e225b96, 0xc9b1be1e,
-    0x1e17b28a, 0xc9b86572, 0x1e0d0acc, 0xc9bf0edd,
-    0x1e02645d, 0xc9c5ba60, 0x1df7bf3e, 0xc9cc67fa,
-    0x1ded1b6e, 0xc9d317ab, 0x1de278ef, 0xc9d9c973,
-    0x1dd7d7c1, 0xc9e07d51, 0x1dcd37e4, 0xc9e73346,
-    0x1dc29958, 0xc9edeb50, 0x1db7fc1e, 0xc9f4a570,
-    0x1dad6036, 0xc9fb61a5, 0x1da2c5a2, 0xca021fef,
-    0x1d982c60, 0xca08e04f, 0x1d8d9472, 0xca0fa2c3,
-    0x1d82fdd8, 0xca16674b, 0x1d786892, 0xca1d2de7,
-    0x1d6dd4a2, 0xca23f698, 0x1d634206, 0xca2ac15b,
-    0x1d58b0c0, 0xca318e32, 0x1d4e20d0, 0xca385d1d,
-    0x1d439236, 0xca3f2e19, 0x1d3904f4, 0xca460129,
-    0x1d2e7908, 0xca4cd64b, 0x1d23ee74, 0xca53ad7e,
-    0x1d196538, 0xca5a86c4, 0x1d0edd55, 0xca61621b,
-    0x1d0456ca, 0xca683f83, 0x1cf9d199, 0xca6f1efc,
-    0x1cef4dc2, 0xca760086, 0x1ce4cb44, 0xca7ce420,
-    0x1cda4a21, 0xca83c9ca, 0x1ccfca59, 0xca8ab184,
-    0x1cc54bec, 0xca919b4e, 0x1cbacedb, 0xca988727,
-    0x1cb05326, 0xca9f750f, 0x1ca5d8cd, 0xcaa66506,
-    0x1c9b5fd2, 0xcaad570c, 0x1c90e834, 0xcab44b1f,
-    0x1c8671f3, 0xcabb4141, 0x1c7bfd11, 0xcac23971,
-    0x1c71898d, 0xcac933ae, 0x1c671768, 0xcad02ff8,
-    0x1c5ca6a2, 0xcad72e4f, 0x1c52373c, 0xcade2eb3,
-    0x1c47c936, 0xcae53123, 0x1c3d5c91, 0xcaec35a0,
-    0x1c32f14d, 0xcaf33c28, 0x1c28876a, 0xcafa44bc,
-    0x1c1e1ee9, 0xcb014f5b, 0x1c13b7c9, 0xcb085c05,
-    0x1c09520d, 0xcb0f6aba, 0x1bfeedb3, 0xcb167b79,
-    0x1bf48abd, 0xcb1d8e43, 0x1bea292b, 0xcb24a316,
-    0x1bdfc8fc, 0xcb2bb9f4, 0x1bd56a32, 0xcb32d2da,
-    0x1bcb0cce, 0xcb39edca, 0x1bc0b0ce, 0xcb410ac3,
-    0x1bb65634, 0xcb4829c4, 0x1babfd01, 0xcb4f4acd,
-    0x1ba1a534, 0xcb566ddf, 0x1b974ece, 0xcb5d92f8,
-    0x1b8cf9cf, 0xcb64ba19, 0x1b82a638, 0xcb6be341,
-    0x1b785409, 0xcb730e70, 0x1b6e0342, 0xcb7a3ba5,
-    0x1b63b3e5, 0xcb816ae1, 0x1b5965f1, 0xcb889c23,
-    0x1b4f1967, 0xcb8fcf6b, 0x1b44ce46, 0xcb9704b9,
-    0x1b3a8491, 0xcb9e3c0b, 0x1b303c46, 0xcba57563,
-    0x1b25f566, 0xcbacb0bf, 0x1b1baff2, 0xcbb3ee20,
-    0x1b116beb, 0xcbbb2d85, 0x1b072950, 0xcbc26eee,
-    0x1afce821, 0xcbc9b25a, 0x1af2a860, 0xcbd0f7ca,
-    0x1ae86a0d, 0xcbd83f3d, 0x1ade2d28, 0xcbdf88b3,
-    0x1ad3f1b1, 0xcbe6d42b, 0x1ac9b7a9, 0xcbee21a5,
-    0x1abf7f11, 0xcbf57121, 0x1ab547e8, 0xcbfcc29f,
-    0x1aab122f, 0xcc04161e, 0x1aa0dde7, 0xcc0b6b9e,
-    0x1a96ab0f, 0xcc12c31f, 0x1a8c79a9, 0xcc1a1ca0,
-    0x1a8249b4, 0xcc217822, 0x1a781b31, 0xcc28d5a3,
-    0x1a6dee21, 0xcc303524, 0x1a63c284, 0xcc3796a5,
-    0x1a599859, 0xcc3efa25, 0x1a4f6fa3, 0xcc465fa3,
-    0x1a454860, 0xcc4dc720, 0x1a3b2292, 0xcc55309b,
-    0x1a30fe38, 0xcc5c9c14, 0x1a26db54, 0xcc64098b,
-    0x1a1cb9e5, 0xcc6b78ff, 0x1a1299ec, 0xcc72ea70,
-    0x1a087b69, 0xcc7a5dde, 0x19fe5e5e, 0xcc81d349,
-    0x19f442c9, 0xcc894aaf, 0x19ea28ac, 0xcc90c412,
-    0x19e01006, 0xcc983f70, 0x19d5f8d9, 0xcc9fbcca,
-    0x19cbe325, 0xcca73c1e, 0x19c1cee9, 0xccaebd6e,
-    0x19b7bc27, 0xccb640b8, 0x19adaadf, 0xccbdc5fc,
-    0x19a39b11, 0xccc54d3a, 0x19998cbe, 0xccccd671,
-    0x198f7fe6, 0xccd461a2, 0x19857489, 0xccdbeecc,
-    0x197b6aa8, 0xcce37def, 0x19716243, 0xcceb0f0a,
-    0x19675b5a, 0xccf2a21d, 0x195d55ef, 0xccfa3729,
-    0x19535201, 0xcd01ce2b, 0x19494f90, 0xcd096725,
-    0x193f4e9e, 0xcd110216, 0x19354f2a, 0xcd189efe,
-    0x192b5135, 0xcd203ddc, 0x192154bf, 0xcd27deb0,
-    0x191759c9, 0xcd2f817b, 0x190d6053, 0xcd37263a,
-    0x1903685d, 0xcd3eccef, 0x18f971e8, 0xcd467599,
-    0x18ef7cf4, 0xcd4e2037, 0x18e58982, 0xcd55ccca,
-    0x18db9792, 0xcd5d7b50, 0x18d1a724, 0xcd652bcb,
-    0x18c7b838, 0xcd6cde39, 0x18bdcad0, 0xcd74929a,
-    0x18b3deeb, 0xcd7c48ee, 0x18a9f48a, 0xcd840134,
-    0x18a00bae, 0xcd8bbb6d, 0x18962456, 0xcd937798,
-    0x188c3e83, 0xcd9b35b4, 0x18825a35, 0xcda2f5c2,
-    0x1878776d, 0xcdaab7c0, 0x186e962b, 0xcdb27bb0,
-    0x1864b670, 0xcdba4190, 0x185ad83c, 0xcdc20960,
-    0x1850fb8e, 0xcdc9d320, 0x18472069, 0xcdd19ed0,
-    0x183d46cc, 0xcdd96c6f, 0x18336eb7, 0xcde13bfd,
-    0x1829982b, 0xcde90d79, 0x181fc328, 0xcdf0e0e4,
-    0x1815efae, 0xcdf8b63d, 0x180c1dbf, 0xce008d84,
-    0x18024d59, 0xce0866b8, 0x17f87e7f, 0xce1041d9,
-    0x17eeb130, 0xce181ee8, 0x17e4e56c, 0xce1ffde2,
-    0x17db1b34, 0xce27dec9, 0x17d15288, 0xce2fc19c,
-    0x17c78b68, 0xce37a65b, 0x17bdc5d6, 0xce3f8d05,
-    0x17b401d1, 0xce47759a, 0x17aa3f5a, 0xce4f6019,
-    0x17a07e70, 0xce574c84, 0x1796bf16, 0xce5f3ad8,
-    0x178d014a, 0xce672b16, 0x1783450d, 0xce6f1d3d,
-    0x17798a60, 0xce77114e, 0x176fd143, 0xce7f0748,
-    0x176619b6, 0xce86ff2a, 0x175c63ba, 0xce8ef8f4,
-    0x1752af4f, 0xce96f4a7, 0x1748fc75, 0xce9ef241,
-    0x173f4b2e, 0xcea6f1c2, 0x17359b78, 0xceaef32b,
-    0x172bed55, 0xceb6f67a, 0x172240c5, 0xcebefbb0,
-    0x171895c9, 0xcec702cb, 0x170eec60, 0xcecf0bcd,
-    0x1705448b, 0xced716b4, 0x16fb9e4b, 0xcedf2380,
-    0x16f1f99f, 0xcee73231, 0x16e85689, 0xceef42c7,
-    0x16deb508, 0xcef75541, 0x16d5151d, 0xceff699f,
-    0x16cb76c9, 0xcf077fe1, 0x16c1da0b, 0xcf0f9805,
-    0x16b83ee4, 0xcf17b20d, 0x16aea555, 0xcf1fcdf8,
-    0x16a50d5d, 0xcf27ebc5, 0x169b76fe, 0xcf300b74,
-    0x1691e237, 0xcf382d05, 0x16884f09, 0xcf405077,
-    0x167ebd74, 0xcf4875ca, 0x16752d79, 0xcf509cfe,
-    0x166b9f18, 0xcf58c613, 0x16621251, 0xcf60f108,
-    0x16588725, 0xcf691ddd, 0x164efd94, 0xcf714c91,
-    0x1645759f, 0xcf797d24, 0x163bef46, 0xcf81af97,
-    0x16326a88, 0xcf89e3e8, 0x1628e767, 0xcf921a17,
-    0x161f65e4, 0xcf9a5225, 0x1615e5fd, 0xcfa28c10,
-    0x160c67b4, 0xcfaac7d8, 0x1602eb0a, 0xcfb3057d,
-    0x15f96ffd, 0xcfbb4500, 0x15eff690, 0xcfc3865e,
-    0x15e67ec1, 0xcfcbc999, 0x15dd0892, 0xcfd40eaf,
-    0x15d39403, 0xcfdc55a1, 0x15ca2115, 0xcfe49e6d,
-    0x15c0afc6, 0xcfece915, 0x15b74019, 0xcff53597,
-    0x15add20d, 0xcffd83f4, 0x15a465a3, 0xd005d42a,
-    0x159afadb, 0xd00e2639, 0x159191b5, 0xd0167a22,
-    0x15882a32, 0xd01ecfe4, 0x157ec452, 0xd027277e,
-    0x15756016, 0xd02f80f1, 0x156bfd7d, 0xd037dc3b,
-    0x15629c89, 0xd040395d, 0x15593d3a, 0xd0489856,
-    0x154fdf8f, 0xd050f926, 0x15468389, 0xd0595bcd,
-    0x153d292a, 0xd061c04a, 0x1533d070, 0xd06a269d,
-    0x152a795d, 0xd0728ec6, 0x152123f0, 0xd07af8c4,
-    0x1517d02b, 0xd0836497, 0x150e7e0d, 0xd08bd23f,
-    0x15052d97, 0xd09441bb, 0x14fbdec9, 0xd09cb30b,
-    0x14f291a4, 0xd0a5262f, 0x14e94627, 0xd0ad9b26,
-    0x14dffc54, 0xd0b611f1, 0x14d6b42b, 0xd0be8a8d,
-    0x14cd6dab, 0xd0c704fd, 0x14c428d6, 0xd0cf813e,
-    0x14bae5ab, 0xd0d7ff51, 0x14b1a42c, 0xd0e07f36,
-    0x14a86458, 0xd0e900ec, 0x149f2630, 0xd0f18472,
-    0x1495e9b3, 0xd0fa09c9, 0x148caee4, 0xd10290f0,
-    0x148375c1, 0xd10b19e7, 0x147a3e4b, 0xd113a4ad,
-    0x14710883, 0xd11c3142, 0x1467d469, 0xd124bfa6,
-    0x145ea1fd, 0xd12d4fd9, 0x14557140, 0xd135e1d9,
-    0x144c4232, 0xd13e75a8, 0x144314d3, 0xd1470b44,
-    0x1439e923, 0xd14fa2ad, 0x1430bf24, 0xd1583be2,
-    0x142796d5, 0xd160d6e5, 0x141e7037, 0xd16973b3,
-    0x14154b4a, 0xd172124d, 0x140c280e, 0xd17ab2b3,
-    0x14030684, 0xd18354e4, 0x13f9e6ad, 0xd18bf8e0,
-    0x13f0c887, 0xd1949ea6, 0x13e7ac15, 0xd19d4636,
-    0x13de9156, 0xd1a5ef90, 0x13d5784a, 0xd1ae9ab4,
-    0x13cc60f2, 0xd1b747a0, 0x13c34b4f, 0xd1bff656,
-    0x13ba3760, 0xd1c8a6d4, 0x13b12526, 0xd1d1591a,
-    0x13a814a2, 0xd1da0d28, 0x139f05d3, 0xd1e2c2fd,
-    0x1395f8ba, 0xd1eb7a9a, 0x138ced57, 0xd1f433fd,
-    0x1383e3ab, 0xd1fcef27, 0x137adbb6, 0xd205ac17,
-    0x1371d579, 0xd20e6acc, 0x1368d0f3, 0xd2172b48,
-    0x135fce26, 0xd21fed88, 0x1356cd11, 0xd228b18d,
-    0x134dcdb4, 0xd2317756, 0x1344d011, 0xd23a3ee4,
-    0x133bd427, 0xd2430835, 0x1332d9f7, 0xd24bd34a,
-    0x1329e181, 0xd254a021, 0x1320eac6, 0xd25d6ebc,
-    0x1317f5c6, 0xd2663f19, 0x130f0280, 0xd26f1138,
-    0x130610f7, 0xd277e518, 0x12fd2129, 0xd280babb,
-    0x12f43318, 0xd289921e, 0x12eb46c3, 0xd2926b41,
-    0x12e25c2b, 0xd29b4626, 0x12d97350, 0xd2a422ca,
-    0x12d08c33, 0xd2ad012e, 0x12c7a6d4, 0xd2b5e151,
-    0x12bec333, 0xd2bec333, 0x12b5e151, 0xd2c7a6d4,
-    0x12ad012e, 0xd2d08c33, 0x12a422ca, 0xd2d97350,
-    0x129b4626, 0xd2e25c2b, 0x12926b41, 0xd2eb46c3,
-    0x1289921e, 0xd2f43318, 0x1280babb, 0xd2fd2129,
-    0x1277e518, 0xd30610f7, 0x126f1138, 0xd30f0280,
-    0x12663f19, 0xd317f5c6, 0x125d6ebc, 0xd320eac6,
-    0x1254a021, 0xd329e181, 0x124bd34a, 0xd332d9f7,
-    0x12430835, 0xd33bd427, 0x123a3ee4, 0xd344d011,
-    0x12317756, 0xd34dcdb4, 0x1228b18d, 0xd356cd11,
-    0x121fed88, 0xd35fce26, 0x12172b48, 0xd368d0f3,
-    0x120e6acc, 0xd371d579, 0x1205ac17, 0xd37adbb6,
-    0x11fcef27, 0xd383e3ab, 0x11f433fd, 0xd38ced57,
-    0x11eb7a9a, 0xd395f8ba, 0x11e2c2fd, 0xd39f05d3,
-    0x11da0d28, 0xd3a814a2, 0x11d1591a, 0xd3b12526,
-    0x11c8a6d4, 0xd3ba3760, 0x11bff656, 0xd3c34b4f,
-    0x11b747a0, 0xd3cc60f2, 0x11ae9ab4, 0xd3d5784a,
-    0x11a5ef90, 0xd3de9156, 0x119d4636, 0xd3e7ac15,
-    0x11949ea6, 0xd3f0c887, 0x118bf8e0, 0xd3f9e6ad,
-    0x118354e4, 0xd4030684, 0x117ab2b3, 0xd40c280e,
-    0x1172124d, 0xd4154b4a, 0x116973b3, 0xd41e7037,
-    0x1160d6e5, 0xd42796d5, 0x11583be2, 0xd430bf24,
-    0x114fa2ad, 0xd439e923, 0x11470b44, 0xd44314d3,
-    0x113e75a8, 0xd44c4232, 0x1135e1d9, 0xd4557140,
-    0x112d4fd9, 0xd45ea1fd, 0x1124bfa6, 0xd467d469,
-    0x111c3142, 0xd4710883, 0x1113a4ad, 0xd47a3e4b,
-    0x110b19e7, 0xd48375c1, 0x110290f0, 0xd48caee4,
-    0x10fa09c9, 0xd495e9b3, 0x10f18472, 0xd49f2630,
-    0x10e900ec, 0xd4a86458, 0x10e07f36, 0xd4b1a42c,
-    0x10d7ff51, 0xd4bae5ab, 0x10cf813e, 0xd4c428d6,
-    0x10c704fd, 0xd4cd6dab, 0x10be8a8d, 0xd4d6b42b,
-    0x10b611f1, 0xd4dffc54, 0x10ad9b26, 0xd4e94627,
-    0x10a5262f, 0xd4f291a4, 0x109cb30b, 0xd4fbdec9,
-    0x109441bb, 0xd5052d97, 0x108bd23f, 0xd50e7e0d,
-    0x10836497, 0xd517d02b, 0x107af8c4, 0xd52123f0,
-    0x10728ec6, 0xd52a795d, 0x106a269d, 0xd533d070,
-    0x1061c04a, 0xd53d292a, 0x10595bcd, 0xd5468389,
-    0x1050f926, 0xd54fdf8f, 0x10489856, 0xd5593d3a,
-    0x1040395d, 0xd5629c89, 0x1037dc3b, 0xd56bfd7d,
-    0x102f80f1, 0xd5756016, 0x1027277e, 0xd57ec452,
-    0x101ecfe4, 0xd5882a32, 0x10167a22, 0xd59191b5,
-    0x100e2639, 0xd59afadb, 0x1005d42a, 0xd5a465a3,
-    0xffd83f4, 0xd5add20d, 0xff53597, 0xd5b74019,
-    0xfece915, 0xd5c0afc6, 0xfe49e6d, 0xd5ca2115,
-    0xfdc55a1, 0xd5d39403, 0xfd40eaf, 0xd5dd0892,
-    0xfcbc999, 0xd5e67ec1, 0xfc3865e, 0xd5eff690,
-    0xfbb4500, 0xd5f96ffd, 0xfb3057d, 0xd602eb0a,
-    0xfaac7d8, 0xd60c67b4, 0xfa28c10, 0xd615e5fd,
-    0xf9a5225, 0xd61f65e4, 0xf921a17, 0xd628e767,
-    0xf89e3e8, 0xd6326a88, 0xf81af97, 0xd63bef46,
-    0xf797d24, 0xd645759f, 0xf714c91, 0xd64efd94,
-    0xf691ddd, 0xd6588725, 0xf60f108, 0xd6621251,
-    0xf58c613, 0xd66b9f18, 0xf509cfe, 0xd6752d79,
-    0xf4875ca, 0xd67ebd74, 0xf405077, 0xd6884f09,
-    0xf382d05, 0xd691e237, 0xf300b74, 0xd69b76fe,
-    0xf27ebc5, 0xd6a50d5d, 0xf1fcdf8, 0xd6aea555,
-    0xf17b20d, 0xd6b83ee4, 0xf0f9805, 0xd6c1da0b,
-    0xf077fe1, 0xd6cb76c9, 0xeff699f, 0xd6d5151d,
-    0xef75541, 0xd6deb508, 0xeef42c7, 0xd6e85689,
-    0xee73231, 0xd6f1f99f, 0xedf2380, 0xd6fb9e4b,
-    0xed716b4, 0xd705448b, 0xecf0bcd, 0xd70eec60,
-    0xec702cb, 0xd71895c9, 0xebefbb0, 0xd72240c5,
-    0xeb6f67a, 0xd72bed55, 0xeaef32b, 0xd7359b78,
-    0xea6f1c2, 0xd73f4b2e, 0xe9ef241, 0xd748fc75,
-    0xe96f4a7, 0xd752af4f, 0xe8ef8f4, 0xd75c63ba,
-    0xe86ff2a, 0xd76619b6, 0xe7f0748, 0xd76fd143,
-    0xe77114e, 0xd7798a60, 0xe6f1d3d, 0xd783450d,
-    0xe672b16, 0xd78d014a, 0xe5f3ad8, 0xd796bf16,
-    0xe574c84, 0xd7a07e70, 0xe4f6019, 0xd7aa3f5a,
-    0xe47759a, 0xd7b401d1, 0xe3f8d05, 0xd7bdc5d6,
-    0xe37a65b, 0xd7c78b68, 0xe2fc19c, 0xd7d15288,
-    0xe27dec9, 0xd7db1b34, 0xe1ffde2, 0xd7e4e56c,
-    0xe181ee8, 0xd7eeb130, 0xe1041d9, 0xd7f87e7f,
-    0xe0866b8, 0xd8024d59, 0xe008d84, 0xd80c1dbf,
-    0xdf8b63d, 0xd815efae, 0xdf0e0e4, 0xd81fc328,
-    0xde90d79, 0xd829982b, 0xde13bfd, 0xd8336eb7,
-    0xdd96c6f, 0xd83d46cc, 0xdd19ed0, 0xd8472069,
-    0xdc9d320, 0xd850fb8e, 0xdc20960, 0xd85ad83c,
-    0xdba4190, 0xd864b670, 0xdb27bb0, 0xd86e962b,
-    0xdaab7c0, 0xd878776d, 0xda2f5c2, 0xd8825a35,
-    0xd9b35b4, 0xd88c3e83, 0xd937798, 0xd8962456,
-    0xd8bbb6d, 0xd8a00bae, 0xd840134, 0xd8a9f48a,
-    0xd7c48ee, 0xd8b3deeb, 0xd74929a, 0xd8bdcad0,
-    0xd6cde39, 0xd8c7b838, 0xd652bcb, 0xd8d1a724,
-    0xd5d7b50, 0xd8db9792, 0xd55ccca, 0xd8e58982,
-    0xd4e2037, 0xd8ef7cf4, 0xd467599, 0xd8f971e8,
-    0xd3eccef, 0xd903685d, 0xd37263a, 0xd90d6053,
-    0xd2f817b, 0xd91759c9, 0xd27deb0, 0xd92154bf,
-    0xd203ddc, 0xd92b5135, 0xd189efe, 0xd9354f2a,
-    0xd110216, 0xd93f4e9e, 0xd096725, 0xd9494f90,
-    0xd01ce2b, 0xd9535201, 0xcfa3729, 0xd95d55ef,
-    0xcf2a21d, 0xd9675b5a, 0xceb0f0a, 0xd9716243,
-    0xce37def, 0xd97b6aa8, 0xcdbeecc, 0xd9857489,
-    0xcd461a2, 0xd98f7fe6, 0xcccd671, 0xd9998cbe,
-    0xcc54d3a, 0xd9a39b11, 0xcbdc5fc, 0xd9adaadf,
-    0xcb640b8, 0xd9b7bc27, 0xcaebd6e, 0xd9c1cee9,
-    0xca73c1e, 0xd9cbe325, 0xc9fbcca, 0xd9d5f8d9,
-    0xc983f70, 0xd9e01006, 0xc90c412, 0xd9ea28ac,
-    0xc894aaf, 0xd9f442c9, 0xc81d349, 0xd9fe5e5e,
-    0xc7a5dde, 0xda087b69, 0xc72ea70, 0xda1299ec,
-    0xc6b78ff, 0xda1cb9e5, 0xc64098b, 0xda26db54,
-    0xc5c9c14, 0xda30fe38, 0xc55309b, 0xda3b2292,
-    0xc4dc720, 0xda454860, 0xc465fa3, 0xda4f6fa3,
-    0xc3efa25, 0xda599859, 0xc3796a5, 0xda63c284,
-    0xc303524, 0xda6dee21, 0xc28d5a3, 0xda781b31,
-    0xc217822, 0xda8249b4, 0xc1a1ca0, 0xda8c79a9,
-    0xc12c31f, 0xda96ab0f, 0xc0b6b9e, 0xdaa0dde7,
-    0xc04161e, 0xdaab122f, 0xbfcc29f, 0xdab547e8,
-    0xbf57121, 0xdabf7f11, 0xbee21a5, 0xdac9b7a9,
-    0xbe6d42b, 0xdad3f1b1, 0xbdf88b3, 0xdade2d28,
-    0xbd83f3d, 0xdae86a0d, 0xbd0f7ca, 0xdaf2a860,
-    0xbc9b25a, 0xdafce821, 0xbc26eee, 0xdb072950,
-    0xbbb2d85, 0xdb116beb, 0xbb3ee20, 0xdb1baff2,
-    0xbacb0bf, 0xdb25f566, 0xba57563, 0xdb303c46,
-    0xb9e3c0b, 0xdb3a8491, 0xb9704b9, 0xdb44ce46,
-    0xb8fcf6b, 0xdb4f1967, 0xb889c23, 0xdb5965f1,
-    0xb816ae1, 0xdb63b3e5, 0xb7a3ba5, 0xdb6e0342,
-    0xb730e70, 0xdb785409, 0xb6be341, 0xdb82a638,
-    0xb64ba19, 0xdb8cf9cf, 0xb5d92f8, 0xdb974ece,
-    0xb566ddf, 0xdba1a534, 0xb4f4acd, 0xdbabfd01,
-    0xb4829c4, 0xdbb65634, 0xb410ac3, 0xdbc0b0ce,
-    0xb39edca, 0xdbcb0cce, 0xb32d2da, 0xdbd56a32,
-    0xb2bb9f4, 0xdbdfc8fc, 0xb24a316, 0xdbea292b,
-    0xb1d8e43, 0xdbf48abd, 0xb167b79, 0xdbfeedb3,
-    0xb0f6aba, 0xdc09520d, 0xb085c05, 0xdc13b7c9,
-    0xb014f5b, 0xdc1e1ee9, 0xafa44bc, 0xdc28876a,
-    0xaf33c28, 0xdc32f14d, 0xaec35a0, 0xdc3d5c91,
-    0xae53123, 0xdc47c936, 0xade2eb3, 0xdc52373c,
-    0xad72e4f, 0xdc5ca6a2, 0xad02ff8, 0xdc671768,
-    0xac933ae, 0xdc71898d, 0xac23971, 0xdc7bfd11,
-    0xabb4141, 0xdc8671f3, 0xab44b1f, 0xdc90e834,
-    0xaad570c, 0xdc9b5fd2, 0xaa66506, 0xdca5d8cd,
-    0xa9f750f, 0xdcb05326, 0xa988727, 0xdcbacedb,
-    0xa919b4e, 0xdcc54bec, 0xa8ab184, 0xdccfca59,
-    0xa83c9ca, 0xdcda4a21, 0xa7ce420, 0xdce4cb44,
-    0xa760086, 0xdcef4dc2, 0xa6f1efc, 0xdcf9d199,
-    0xa683f83, 0xdd0456ca, 0xa61621b, 0xdd0edd55,
-    0xa5a86c4, 0xdd196538, 0xa53ad7e, 0xdd23ee74,
-    0xa4cd64b, 0xdd2e7908, 0xa460129, 0xdd3904f4,
-    0xa3f2e19, 0xdd439236, 0xa385d1d, 0xdd4e20d0,
-    0xa318e32, 0xdd58b0c0, 0xa2ac15b, 0xdd634206,
-    0xa23f698, 0xdd6dd4a2, 0xa1d2de7, 0xdd786892,
-    0xa16674b, 0xdd82fdd8, 0xa0fa2c3, 0xdd8d9472,
-    0xa08e04f, 0xdd982c60, 0xa021fef, 0xdda2c5a2,
-    0x9fb61a5, 0xddad6036, 0x9f4a570, 0xddb7fc1e,
-    0x9edeb50, 0xddc29958, 0x9e73346, 0xddcd37e4,
-    0x9e07d51, 0xddd7d7c1, 0x9d9c973, 0xdde278ef,
-    0x9d317ab, 0xdded1b6e, 0x9cc67fa, 0xddf7bf3e,
-    0x9c5ba60, 0xde02645d, 0x9bf0edd, 0xde0d0acc,
-    0x9b86572, 0xde17b28a, 0x9b1be1e, 0xde225b96,
-    0x9ab18e3, 0xde2d05f1, 0x9a475bf, 0xde37b199,
-    0x99dd4b4, 0xde425e8f, 0x99735c2, 0xde4d0cd2,
-    0x99098e9, 0xde57bc62, 0x989fe29, 0xde626d3e,
-    0x9836582, 0xde6d1f65, 0x97ccef5, 0xde77d2d8,
-    0x9763a83, 0xde828796, 0x96fa82a, 0xde8d3d9e,
-    0x96917ec, 0xde97f4f1, 0x96289c9, 0xdea2ad8d,
-    0x95bfdc1, 0xdead6773, 0x95573d4, 0xdeb822a1,
-    0x94eec03, 0xdec2df18, 0x948664d, 0xdecd9cd7,
-    0x941e2b4, 0xded85bdd, 0x93b6137, 0xdee31c2b,
-    0x934e1d6, 0xdeedddc0, 0x92e6492, 0xdef8a09b,
-    0x927e96b, 0xdf0364bc, 0x9217062, 0xdf0e2a22,
-    0x91af976, 0xdf18f0ce, 0x91484a8, 0xdf23b8be,
-    0x90e11f7, 0xdf2e81f3, 0x907a166, 0xdf394c6b,
-    0x90132f2, 0xdf441828, 0x8fac69e, 0xdf4ee527,
-    0x8f45c68, 0xdf59b369, 0x8edf452, 0xdf6482ed,
-    0x8e78e5b, 0xdf6f53b3, 0x8e12a84, 0xdf7a25ba,
-    0x8dac8cd, 0xdf84f902, 0x8d46936, 0xdf8fcd8b,
-    0x8ce0bc0, 0xdf9aa354, 0x8c7b06b, 0xdfa57a5d,
-    0x8c15736, 0xdfb052a5, 0x8bb0023, 0xdfbb2c2c,
-    0x8b4ab32, 0xdfc606f1, 0x8ae5862, 0xdfd0e2f5,
-    0x8a807b4, 0xdfdbc036, 0x8a1b928, 0xdfe69eb4,
-    0x89b6cbf, 0xdff17e70, 0x8952278, 0xdffc5f67,
-    0x88eda54, 0xe007419b, 0x8889454, 0xe012250a,
-    0x8825077, 0xe01d09b4, 0x87c0ebd, 0xe027ef99,
-    0x875cf28, 0xe032d6b8, 0x86f91b7, 0xe03dbf11,
-    0x869566a, 0xe048a8a4, 0x8631d42, 0xe053936f,
-    0x85ce63e, 0xe05e7f74, 0x856b160, 0xe0696cb0,
-    0x8507ea7, 0xe0745b24, 0x84a4e14, 0xe07f4acf,
-    0x8441fa6, 0xe08a3bb2, 0x83df35f, 0xe0952dcb,
-    0x837c93e, 0xe0a0211a, 0x831a143, 0xe0ab159e,
-    0x82b7b70, 0xe0b60b58, 0x82557c3, 0xe0c10247,
-    0x81f363d, 0xe0cbfa6a, 0x81916df, 0xe0d6f3c1,
-    0x812f9a9, 0xe0e1ee4b, 0x80cde9b, 0xe0ecea09,
-    0x806c5b5, 0xe0f7e6f9, 0x800aef7, 0xe102e51c,
-    0x7fa9a62, 0xe10de470, 0x7f487f6, 0xe118e4f6,
-    0x7ee77b3, 0xe123e6ad, 0x7e8699a, 0xe12ee995,
-    0x7e25daa, 0xe139edac, 0x7dc53e3, 0xe144f2f3,
-    0x7d64c47, 0xe14ff96a, 0x7d046d6, 0xe15b0110,
-    0x7ca438f, 0xe16609e3, 0x7c44272, 0xe17113e5,
-    0x7be4381, 0xe17c1f15, 0x7b846ba, 0xe1872b72,
-    0x7b24c20, 0xe19238fb, 0x7ac53b1, 0xe19d47b1,
-    0x7a65d6e, 0xe1a85793, 0x7a06957, 0xe1b368a0,
-    0x79a776c, 0xe1be7ad8, 0x79487ae, 0xe1c98e3b,
-    0x78e9a1d, 0xe1d4a2c8, 0x788aeb9, 0xe1dfb87f,
-    0x782c582, 0xe1eacf5f, 0x77cde79, 0xe1f5e768,
-    0x776f99d, 0xe2010099, 0x77116f0, 0xe20c1af3,
-    0x76b3671, 0xe2173674, 0x7655820, 0xe222531c,
-    0x75f7bfe, 0xe22d70eb, 0x759a20a, 0xe2388fe1,
-    0x753ca46, 0xe243affc, 0x74df4b1, 0xe24ed13d,
-    0x748214c, 0xe259f3a3, 0x7425016, 0xe265172e,
-    0x73c8111, 0xe2703bdc, 0x736b43c, 0xe27b61af,
-    0x730e997, 0xe28688a4, 0x72b2123, 0xe291b0bd,
-    0x7255ae0, 0xe29cd9f8, 0x71f96ce, 0xe2a80456,
-    0x719d4ed, 0xe2b32fd4, 0x714153e, 0xe2be5c74,
-    0x70e57c0, 0xe2c98a35, 0x7089c75, 0xe2d4b916,
-    0x702e35c, 0xe2dfe917, 0x6fd2c75, 0xe2eb1a37,
-    0x6f777c1, 0xe2f64c77, 0x6f1c540, 0xe3017fd5,
-    0x6ec14f2, 0xe30cb451, 0x6e666d7, 0xe317e9eb,
-    0x6e0baf0, 0xe32320a2, 0x6db113d, 0xe32e5876,
-    0x6d569be, 0xe3399167, 0x6cfc472, 0xe344cb73,
-    0x6ca215c, 0xe350069b, 0x6c4807a, 0xe35b42df,
-    0x6bee1cd, 0xe366803c, 0x6b94554, 0xe371beb5,
-    0x6b3ab12, 0xe37cfe47, 0x6ae1304, 0xe3883ef2,
-    0x6a87d2d, 0xe39380b6, 0x6a2e98b, 0xe39ec393,
-    0x69d5820, 0xe3aa0788, 0x697c8eb, 0xe3b54c95,
-    0x6923bec, 0xe3c092b9, 0x68cb124, 0xe3cbd9f4,
-    0x6872894, 0xe3d72245, 0x681a23a, 0xe3e26bac,
-    0x67c1e18, 0xe3edb628, 0x6769c2e, 0xe3f901ba,
-    0x6711c7b, 0xe4044e60, 0x66b9f01, 0xe40f9c1a,
-    0x66623be, 0xe41aeae8, 0x660aab5, 0xe4263ac9,
-    0x65b33e4, 0xe4318bbe, 0x655bf4c, 0xe43cddc4,
-    0x6504ced, 0xe44830dd, 0x64adcc7, 0xe4538507,
-    0x6456edb, 0xe45eda43, 0x6400329, 0xe46a308f,
-    0x63a99b1, 0xe47587eb, 0x6353273, 0xe480e057,
-    0x62fcd6f, 0xe48c39d3, 0x62a6aa6, 0xe497945d,
-    0x6250a18, 0xe4a2eff6, 0x61fabc4, 0xe4ae4c9d,
-    0x61a4fac, 0xe4b9aa52, 0x614f5cf, 0xe4c50914,
-    0x60f9e2e, 0xe4d068e2, 0x60a48c9, 0xe4dbc9bd,
-    0x604f5a0, 0xe4e72ba4, 0x5ffa4b3, 0xe4f28e96,
-    0x5fa5603, 0xe4fdf294, 0x5f5098f, 0xe509579b,
-    0x5efbf58, 0xe514bdad, 0x5ea775e, 0xe52024c9,
-    0x5e531a1, 0xe52b8cee, 0x5dfee22, 0xe536f61b,
-    0x5daace1, 0xe5426051, 0x5d56ddd, 0xe54dcb8f,
-    0x5d03118, 0xe55937d5, 0x5caf690, 0xe564a521,
-    0x5c5be47, 0xe5701374, 0x5c0883d, 0xe57b82cd,
-    0x5bb5472, 0xe586f32c, 0x5b622e6, 0xe5926490,
-    0x5b0f399, 0xe59dd6f9, 0x5abc68c, 0xe5a94a67,
-    0x5a69bbe, 0xe5b4bed8, 0x5a17330, 0xe5c0344d,
-    0x59c4ce3, 0xe5cbaac5, 0x59728d5, 0xe5d72240,
-    0x5920708, 0xe5e29abc, 0x58ce77c, 0xe5ee143b,
-    0x587ca31, 0xe5f98ebb, 0x582af26, 0xe6050a3b,
-    0x57d965d, 0xe61086bc, 0x5787fd6, 0xe61c043d,
-    0x5736b90, 0xe62782be, 0x56e598c, 0xe633023e,
-    0x56949ca, 0xe63e82bc, 0x5643c4a, 0xe64a0438,
-    0x55f310d, 0xe65586b3, 0x55a2812, 0xe6610a2a,
-    0x555215a, 0xe66c8e9f, 0x5501ce5, 0xe6781410,
-    0x54b1ab4, 0xe6839a7c, 0x5461ac6, 0xe68f21e5,
-    0x5411d1b, 0xe69aaa48, 0x53c21b4, 0xe6a633a6,
-    0x5372891, 0xe6b1bdff, 0x53231b3, 0xe6bd4951,
-    0x52d3d18, 0xe6c8d59c, 0x5284ac3, 0xe6d462e1,
-    0x5235ab2, 0xe6dff11d, 0x51e6ce6, 0xe6eb8052,
-    0x519815f, 0xe6f7107e, 0x514981d, 0xe702a1a1,
-    0x50fb121, 0xe70e33bb, 0x50acc6b, 0xe719c6cb,
-    0x505e9fb, 0xe7255ad1, 0x50109d0, 0xe730efcc,
-    0x4fc2bec, 0xe73c85bc, 0x4f7504e, 0xe7481ca1,
-    0x4f276f7, 0xe753b479, 0x4ed9fe7, 0xe75f4d45,
-    0x4e8cb1e, 0xe76ae704, 0x4e3f89c, 0xe77681b6,
-    0x4df2862, 0xe7821d59, 0x4da5a6f, 0xe78db9ef,
-    0x4d58ec3, 0xe7995776, 0x4d0c560, 0xe7a4f5ed,
-    0x4cbfe45, 0xe7b09555, 0x4c73972, 0xe7bc35ad,
-    0x4c276e8, 0xe7c7d6f4, 0x4bdb6a6, 0xe7d3792b,
-    0x4b8f8ad, 0xe7df1c50, 0x4b43cfd, 0xe7eac063,
-    0x4af8397, 0xe7f66564, 0x4aacc7a, 0xe8020b52,
-    0x4a617a6, 0xe80db22d, 0x4a1651c, 0xe81959f4,
-    0x49cb4dd, 0xe82502a7, 0x49806e7, 0xe830ac45,
-    0x4935b3c, 0xe83c56cf, 0x48eb1db, 0xe8480243,
-    0x48a0ac4, 0xe853aea1, 0x48565f9, 0xe85f5be9,
-    0x480c379, 0xe86b0a1a, 0x47c2344, 0xe876b934,
-    0x477855a, 0xe8826936, 0x472e9bc, 0xe88e1a20,
-    0x46e5069, 0xe899cbf1, 0x469b963, 0xe8a57ea9,
-    0x46524a9, 0xe8b13248, 0x460923b, 0xe8bce6cd,
-    0x45c0219, 0xe8c89c37, 0x4577444, 0xe8d45286,
-    0x452e8bc, 0xe8e009ba, 0x44e5f80, 0xe8ebc1d3,
-    0x449d892, 0xe8f77acf, 0x44553f2, 0xe90334af,
-    0x440d19e, 0xe90eef71, 0x43c5199, 0xe91aab16,
-    0x437d3e1, 0xe926679c, 0x4335877, 0xe9322505,
-    0x42edf5c, 0xe93de34e, 0x42a688f, 0xe949a278,
-    0x425f410, 0xe9556282, 0x42181e0, 0xe961236c,
-    0x41d11ff, 0xe96ce535, 0x418a46d, 0xe978a7dd,
-    0x414392b, 0xe9846b63, 0x40fd037, 0xe9902fc7,
-    0x40b6994, 0xe99bf509, 0x4070540, 0xe9a7bb28,
-    0x402a33c, 0xe9b38223, 0x3fe4388, 0xe9bf49fa,
-    0x3f9e624, 0xe9cb12ad, 0x3f58b10, 0xe9d6dc3b,
-    0x3f1324e, 0xe9e2a6a3, 0x3ecdbdc, 0xe9ee71e6,
-    0x3e887bb, 0xe9fa3e03, 0x3e435ea, 0xea060af9,
-    0x3dfe66c, 0xea11d8c8, 0x3db993e, 0xea1da770,
-    0x3d74e62, 0xea2976ef, 0x3d305d8, 0xea354746,
-    0x3cebfa0, 0xea411874, 0x3ca7bba, 0xea4cea79,
-    0x3c63a26, 0xea58bd54, 0x3c1fae5, 0xea649105,
-    0x3bdbdf6, 0xea70658a, 0x3b9835a, 0xea7c3ae5,
-    0x3b54b11, 0xea881114, 0x3b1151b, 0xea93e817,
-    0x3ace178, 0xea9fbfed, 0x3a8b028, 0xeaab9896,
-    0x3a4812c, 0xeab77212, 0x3a05484, 0xeac34c60,
-    0x39c2a2f, 0xeacf277f, 0x398022f, 0xeadb0370,
-    0x393dc82, 0xeae6e031, 0x38fb92a, 0xeaf2bdc3,
-    0x38b9827, 0xeafe9c24, 0x3877978, 0xeb0a7b54,
-    0x3835d1e, 0xeb165b54, 0x37f4319, 0xeb223c22,
-    0x37b2b6a, 0xeb2e1dbe, 0x377160f, 0xeb3a0027,
-    0x373030a, 0xeb45e35d, 0x36ef25b, 0xeb51c760,
-    0x36ae401, 0xeb5dac2f, 0x366d7fd, 0xeb6991ca,
-    0x362ce50, 0xeb75782f, 0x35ec6f8, 0xeb815f60,
-    0x35ac1f7, 0xeb8d475b, 0x356bf4d, 0xeb99301f,
-    0x352bef9, 0xeba519ad, 0x34ec0fc, 0xebb10404,
-    0x34ac556, 0xebbcef23, 0x346cc07, 0xebc8db0b,
-    0x342d510, 0xebd4c7ba, 0x33ee070, 0xebe0b52f,
-    0x33aee27, 0xebeca36c, 0x336fe37, 0xebf8926f,
-    0x333109e, 0xec048237, 0x32f255e, 0xec1072c4,
-    0x32b3c75, 0xec1c6417, 0x32755e5, 0xec28562d,
-    0x32371ae, 0xec344908, 0x31f8fcf, 0xec403ca5,
-    0x31bb049, 0xec4c3106, 0x317d31c, 0xec582629,
-    0x313f848, 0xec641c0e, 0x3101fce, 0xec7012b5,
-    0x30c49ad, 0xec7c0a1d, 0x30875e5, 0xec880245,
-    0x304a477, 0xec93fb2e, 0x300d563, 0xec9ff4d6,
-    0x2fd08a9, 0xecabef3d, 0x2f93e4a, 0xecb7ea63,
-    0x2f57644, 0xecc3e648, 0x2f1b099, 0xeccfe2ea,
-    0x2eded49, 0xecdbe04a, 0x2ea2c53, 0xece7de66,
-    0x2e66db8, 0xecf3dd3f, 0x2e2b178, 0xecffdcd4,
-    0x2def794, 0xed0bdd25, 0x2db400a, 0xed17de31,
-    0x2d78add, 0xed23dff7, 0x2d3d80a, 0xed2fe277,
-    0x2d02794, 0xed3be5b1, 0x2cc7979, 0xed47e9a5,
-    0x2c8cdbb, 0xed53ee51, 0x2c52459, 0xed5ff3b5,
-    0x2c17d52, 0xed6bf9d1, 0x2bdd8a9, 0xed7800a5,
-    0x2ba365c, 0xed84082f, 0x2b6966c, 0xed901070,
-    0x2b2f8d8, 0xed9c1967, 0x2af5da2, 0xeda82313,
-    0x2abc4c9, 0xedb42d74, 0x2a82e4d, 0xedc0388a,
-    0x2a49a2e, 0xedcc4454, 0x2a1086d, 0xedd850d2,
-    0x29d790a, 0xede45e03, 0x299ec05, 0xedf06be6,
-    0x296615d, 0xedfc7a7c, 0x292d914, 0xee0889c4,
-    0x28f5329, 0xee1499bd, 0x28bcf9c, 0xee20aa67,
-    0x2884e6e, 0xee2cbbc1, 0x284cf9f, 0xee38cdcb,
-    0x281532e, 0xee44e084, 0x27dd91c, 0xee50f3ed,
-    0x27a616a, 0xee5d0804, 0x276ec16, 0xee691cc9,
-    0x2737922, 0xee75323c, 0x270088e, 0xee81485c,
-    0x26c9a58, 0xee8d5f29, 0x2692e83, 0xee9976a1,
-    0x265c50e, 0xeea58ec6, 0x2625df8, 0xeeb1a796,
-    0x25ef943, 0xeebdc110, 0x25b96ee, 0xeec9db35,
-    0x25836f9, 0xeed5f604, 0x254d965, 0xeee2117c,
-    0x2517e31, 0xeeee2d9d, 0x24e255e, 0xeefa4a67,
-    0x24aceed, 0xef0667d9, 0x2477adc, 0xef1285f2,
-    0x244292c, 0xef1ea4b2, 0x240d9de, 0xef2ac419,
-    0x23d8cf1, 0xef36e426, 0x23a4265, 0xef4304d8,
-    0x236fa3b, 0xef4f2630, 0x233b473, 0xef5b482d,
-    0x230710d, 0xef676ace, 0x22d3009, 0xef738e12,
-    0x229f167, 0xef7fb1fa, 0x226b528, 0xef8bd685,
-    0x2237b4b, 0xef97fbb2, 0x22043d0, 0xefa42181,
-    0x21d0eb8, 0xefb047f2, 0x219dc03, 0xefbc6f03,
-    0x216abb1, 0xefc896b5, 0x2137dc2, 0xefd4bf08,
-    0x2105236, 0xefe0e7f9, 0x20d290d, 0xefed118a,
-    0x20a0248, 0xeff93bba, 0x206dde6, 0xf0056687,
-    0x203bbe8, 0xf01191f3, 0x2009c4e, 0xf01dbdfb,
-    0x1fd7f17, 0xf029eaa1, 0x1fa6445, 0xf03617e2,
-    0x1f74bd6, 0xf04245c0, 0x1f435cc, 0xf04e7438,
-    0x1f12227, 0xf05aa34c, 0x1ee10e5, 0xf066d2fa,
-    0x1eb0209, 0xf0730342, 0x1e7f591, 0xf07f3424,
-    0x1e4eb7e, 0xf08b659f, 0x1e1e3d0, 0xf09797b2,
-    0x1dede87, 0xf0a3ca5d, 0x1dbdba3, 0xf0affda0,
-    0x1d8db25, 0xf0bc317a, 0x1d5dd0c, 0xf0c865ea,
-    0x1d2e158, 0xf0d49af1, 0x1cfe80a, 0xf0e0d08d,
-    0x1ccf122, 0xf0ed06bf, 0x1c9fca0, 0xf0f93d86,
-    0x1c70a84, 0xf10574e0, 0x1c41ace, 0xf111accf,
-    0x1c12d7e, 0xf11de551, 0x1be4294, 0xf12a1e66,
-    0x1bb5a11, 0xf136580d, 0x1b873f5, 0xf1429247,
-    0x1b5903f, 0xf14ecd11, 0x1b2aef0, 0xf15b086d,
-    0x1afd007, 0xf1674459, 0x1acf386, 0xf17380d6,
-    0x1aa196c, 0xf17fbde2, 0x1a741b9, 0xf18bfb7d,
-    0x1a46c6e, 0xf19839a6, 0x1a1998a, 0xf1a4785e,
-    0x19ec90d, 0xf1b0b7a4, 0x19bfaf9, 0xf1bcf777,
-    0x1992f4c, 0xf1c937d6, 0x1966606, 0xf1d578c2,
-    0x1939f29, 0xf1e1ba3a, 0x190dab4, 0xf1edfc3d,
-    0x18e18a7, 0xf1fa3ecb, 0x18b5903, 0xf20681e3,
-    0x1889bc6, 0xf212c585, 0x185e0f3, 0xf21f09b1,
-    0x1832888, 0xf22b4e66, 0x1807285, 0xf23793a3,
-    0x17dbeec, 0xf243d968, 0x17b0dbb, 0xf2501fb5,
-    0x1785ef4, 0xf25c6688, 0x175b296, 0xf268ade3,
-    0x17308a1, 0xf274f5c3, 0x1706115, 0xf2813e2a,
-    0x16dbbf3, 0xf28d8715, 0x16b193a, 0xf299d085,
-    0x16878eb, 0xf2a61a7a, 0x165db05, 0xf2b264f2,
-    0x1633f8a, 0xf2beafed, 0x160a678, 0xf2cafb6b,
-    0x15e0fd1, 0xf2d7476c, 0x15b7b94, 0xf2e393ef,
-    0x158e9c1, 0xf2efe0f2, 0x1565a58, 0xf2fc2e77,
-    0x153cd5a, 0xf3087c7d, 0x15142c6, 0xf314cb02,
-    0x14eba9d, 0xf3211a07, 0x14c34df, 0xf32d698a,
-    0x149b18b, 0xf339b98d, 0x14730a3, 0xf3460a0d,
-    0x144b225, 0xf3525b0b, 0x1423613, 0xf35eac86,
-    0x13fbc6c, 0xf36afe7e, 0x13d4530, 0xf37750f2,
-    0x13ad060, 0xf383a3e2, 0x1385dfb, 0xf38ff74d,
-    0x135ee02, 0xf39c4b32, 0x1338075, 0xf3a89f92,
-    0x1311553, 0xf3b4f46c, 0x12eac9d, 0xf3c149bf,
-    0x12c4653, 0xf3cd9f8b, 0x129e276, 0xf3d9f5cf,
-    0x1278104, 0xf3e64c8c, 0x12521ff, 0xf3f2a3bf,
-    0x122c566, 0xf3fefb6a, 0x1206b39, 0xf40b538b,
-    0x11e1379, 0xf417ac22, 0x11bbe26, 0xf424052f,
-    0x1196b3f, 0xf4305eb0, 0x1171ac6, 0xf43cb8a7,
-    0x114ccb9, 0xf4491311, 0x1128119, 0xf4556def,
-    0x11037e6, 0xf461c940, 0x10df120, 0xf46e2504,
-    0x10bacc8, 0xf47a8139, 0x1096add, 0xf486dde1,
-    0x1072b5f, 0xf4933afa, 0x104ee4f, 0xf49f9884,
-    0x102b3ac, 0xf4abf67e, 0x1007b77, 0xf4b854e7,
-    0xfe45b0, 0xf4c4b3c0, 0xfc1257, 0xf4d11308,
-    0xf9e16b, 0xf4dd72be, 0xf7b2ee, 0xf4e9d2e3,
-    0xf586df, 0xf4f63374, 0xf35d3e, 0xf5029473,
-    0xf1360b, 0xf50ef5de, 0xef1147, 0xf51b57b5,
-    0xeceef1, 0xf527b9f7, 0xeacf09, 0xf5341ca5,
-    0xe8b190, 0xf5407fbd, 0xe69686, 0xf54ce33f,
-    0xe47deb, 0xf559472b, 0xe267be, 0xf565ab80,
-    0xe05401, 0xf572103d, 0xde42b2, 0xf57e7563,
-    0xdc33d2, 0xf58adaf0, 0xda2762, 0xf59740e5,
-    0xd81d61, 0xf5a3a740, 0xd615cf, 0xf5b00e02,
-    0xd410ad, 0xf5bc7529, 0xd20dfa, 0xf5c8dcb6,
-    0xd00db6, 0xf5d544a7, 0xce0fe3, 0xf5e1acfd,
-    0xcc147f, 0xf5ee15b7, 0xca1b8a, 0xf5fa7ed4,
-    0xc82506, 0xf606e854, 0xc630f2, 0xf6135237,
-    0xc43f4d, 0xf61fbc7b, 0xc25019, 0xf62c2721,
-    0xc06355, 0xf6389228, 0xbe7901, 0xf644fd8f,
-    0xbc911d, 0xf6516956, 0xbaabaa, 0xf65dd57d,
-    0xb8c8a7, 0xf66a4203, 0xb6e815, 0xf676aee8,
-    0xb509f3, 0xf6831c2b, 0xb32e42, 0xf68f89cb,
-    0xb15502, 0xf69bf7c9, 0xaf7e33, 0xf6a86623,
-    0xada9d4, 0xf6b4d4d9, 0xabd7e6, 0xf6c143ec,
-    0xaa086a, 0xf6cdb359, 0xa83b5e, 0xf6da2321,
-    0xa670c4, 0xf6e69344, 0xa4a89b, 0xf6f303c0,
-    0xa2e2e3, 0xf6ff7496, 0xa11f9d, 0xf70be5c4,
-    0x9f5ec8, 0xf718574b, 0x9da065, 0xf724c92a,
-    0x9be473, 0xf7313b60, 0x9a2af3, 0xf73daded,
-    0x9873e4, 0xf74a20d0, 0x96bf48, 0xf756940a,
-    0x950d1d, 0xf7630799, 0x935d64, 0xf76f7b7d,
-    0x91b01d, 0xf77befb5, 0x900548, 0xf7886442,
-    0x8e5ce5, 0xf794d922, 0x8cb6f5, 0xf7a14e55,
-    0x8b1376, 0xf7adc3db, 0x89726a, 0xf7ba39b3,
-    0x87d3d0, 0xf7c6afdc, 0x8637a9, 0xf7d32657,
-    0x849df4, 0xf7df9d22, 0x8306b2, 0xf7ec143e,
-    0x8171e2, 0xf7f88ba9, 0x7fdf85, 0xf8050364,
-    0x7e4f9b, 0xf8117b6d, 0x7cc223, 0xf81df3c5,
-    0x7b371e, 0xf82a6c6a, 0x79ae8c, 0xf836e55d,
-    0x78286e, 0xf8435e9d, 0x76a4c2, 0xf84fd829,
-    0x752389, 0xf85c5201, 0x73a4c3, 0xf868cc24,
-    0x722871, 0xf8754692, 0x70ae92, 0xf881c14b,
-    0x6f3726, 0xf88e3c4d, 0x6dc22e, 0xf89ab799,
-    0x6c4fa8, 0xf8a7332e, 0x6adf97, 0xf8b3af0c,
-    0x6971f9, 0xf8c02b31, 0x6806ce, 0xf8cca79e,
-    0x669e18, 0xf8d92452, 0x6537d4, 0xf8e5a14d,
-    0x63d405, 0xf8f21e8e, 0x6272aa, 0xf8fe9c15,
-    0x6113c2, 0xf90b19e0, 0x5fb74e, 0xf91797f0,
-    0x5e5d4e, 0xf9241645, 0x5d05c3, 0xf93094dd,
-    0x5bb0ab, 0xf93d13b8, 0x5a5e07, 0xf94992d7,
-    0x590dd8, 0xf9561237, 0x57c01d, 0xf96291d9,
-    0x5674d6, 0xf96f11bc, 0x552c03, 0xf97b91e1,
-    0x53e5a5, 0xf9881245, 0x52a1bb, 0xf99492ea,
-    0x516045, 0xf9a113cd, 0x502145, 0xf9ad94f0,
-    0x4ee4b8, 0xf9ba1651, 0x4daaa1, 0xf9c697f0,
-    0x4c72fe, 0xf9d319cc, 0x4b3dcf, 0xf9df9be6,
-    0x4a0b16, 0xf9ec1e3b, 0x48dad1, 0xf9f8a0cd,
-    0x47ad01, 0xfa05239a, 0x4681a6, 0xfa11a6a3,
-    0x4558c0, 0xfa1e29e5, 0x44324f, 0xfa2aad62,
-    0x430e53, 0xfa373119, 0x41eccc, 0xfa43b508,
-    0x40cdba, 0xfa503930, 0x3fb11d, 0xfa5cbd91,
-    0x3e96f6, 0xfa694229, 0x3d7f44, 0xfa75c6f8,
-    0x3c6a07, 0xfa824bfd, 0x3b573f, 0xfa8ed139,
-    0x3a46ed, 0xfa9b56ab, 0x393910, 0xfaa7dc52,
-    0x382da8, 0xfab4622d, 0x3724b6, 0xfac0e83d,
-    0x361e3a, 0xfacd6e81, 0x351a33, 0xfad9f4f8,
-    0x3418a2, 0xfae67ba2, 0x331986, 0xfaf3027e,
-    0x321ce0, 0xfaff898c, 0x3122b0, 0xfb0c10cb,
-    0x302af5, 0xfb18983b, 0x2f35b1, 0xfb251fdc,
-    0x2e42e2, 0xfb31a7ac, 0x2d5289, 0xfb3e2fac,
-    0x2c64a6, 0xfb4ab7db, 0x2b7939, 0xfb574039,
-    0x2a9042, 0xfb63c8c4, 0x29a9c1, 0xfb70517d,
-    0x28c5b6, 0xfb7cda63, 0x27e421, 0xfb896375,
-    0x270502, 0xfb95ecb4, 0x262859, 0xfba2761e,
-    0x254e27, 0xfbaeffb3, 0x24766a, 0xfbbb8973,
-    0x23a124, 0xfbc8135c, 0x22ce54, 0xfbd49d70,
-    0x21fdfb, 0xfbe127ac, 0x213018, 0xfbedb212,
-    0x2064ab, 0xfbfa3c9f, 0x1f9bb5, 0xfc06c754,
-    0x1ed535, 0xfc135231, 0x1e112b, 0xfc1fdd34,
-    0x1d4f99, 0xfc2c685d, 0x1c907c, 0xfc38f3ac,
-    0x1bd3d6, 0xfc457f21, 0x1b19a7, 0xfc520aba,
-    0x1a61ee, 0xfc5e9678, 0x19acac, 0xfc6b2259,
-    0x18f9e1, 0xfc77ae5e, 0x18498c, 0xfc843a85,
-    0x179bae, 0xfc90c6cf, 0x16f047, 0xfc9d533b,
-    0x164757, 0xfca9dfc8, 0x15a0dd, 0xfcb66c77,
-    0x14fcda, 0xfcc2f945, 0x145b4e, 0xfccf8634,
-    0x13bc39, 0xfcdc1342, 0x131f9b, 0xfce8a06f,
-    0x128574, 0xfcf52dbb, 0x11edc3, 0xfd01bb24,
-    0x11588a, 0xfd0e48ab, 0x10c5c7, 0xfd1ad650,
-    0x10357c, 0xfd276410, 0xfa7a8, 0xfd33f1ed,
-    0xf1c4a, 0xfd407fe6, 0xe9364, 0xfd4d0df9,
-    0xe0cf5, 0xfd599c28, 0xd88fd, 0xfd662a70,
-    0xd077c, 0xfd72b8d2, 0xc8872, 0xfd7f474d,
-    0xc0be0, 0xfd8bd5e1, 0xb91c4, 0xfd98648d,
-    0xb1a20, 0xfda4f351, 0xaa4f3, 0xfdb1822c,
-    0xa323d, 0xfdbe111e, 0x9c1ff, 0xfdcaa027,
-    0x95438, 0xfdd72f45, 0x8e8e8, 0xfde3be78,
-    0x8800f, 0xfdf04dc0, 0x819ae, 0xfdfcdd1d,
-    0x7b5c4, 0xfe096c8d, 0x75452, 0xfe15fc11,
-    0x6f556, 0xfe228ba7, 0x698d3, 0xfe2f1b50,
-    0x63ec6, 0xfe3bab0b, 0x5e731, 0xfe483ad8,
-    0x59214, 0xfe54cab5, 0x53f6e, 0xfe615aa3,
-    0x4ef3f, 0xfe6deaa1, 0x4a188, 0xfe7a7aae,
-    0x45648, 0xfe870aca, 0x40d80, 0xfe939af5,
-    0x3c72f, 0xfea02b2e, 0x38356, 0xfeacbb74,
-    0x341f4, 0xfeb94bc8, 0x3030a, 0xfec5dc28,
-    0x2c697, 0xfed26c94, 0x28c9c, 0xfedefd0c,
-    0x25519, 0xfeeb8d8f, 0x2200d, 0xfef81e1d,
-    0x1ed78, 0xff04aeb5, 0x1bd5c, 0xff113f56,
-    0x18fb6, 0xff1dd001, 0x16489, 0xff2a60b4,
-    0x13bd3, 0xff36f170, 0x11594, 0xff438234,
-    0xf1ce, 0xff5012fe, 0xd07e, 0xff5ca3d0,
-    0xb1a7, 0xff6934a8, 0x9547, 0xff75c585,
-    0x7b5f, 0xff825668, 0x63ee, 0xff8ee750,
-    0x4ef5, 0xff9b783c, 0x3c74, 0xffa8092c,
-    0x2c6a, 0xffb49a1f, 0x1ed8, 0xffc12b16,
-    0x13bd, 0xffcdbc0f, 0xb1a, 0xffda4d09,
-    0x4ef, 0xffe6de05, 0x13c, 0xfff36f02,
-    0x0, 0x0, 0x13c, 0xc90fe,
-    0x4ef, 0x1921fb, 0xb1a, 0x25b2f7,
-    0x13bd, 0x3243f1, 0x1ed8, 0x3ed4ea,
-    0x2c6a, 0x4b65e1, 0x3c74, 0x57f6d4,
-    0x4ef5, 0x6487c4, 0x63ee, 0x7118b0,
-    0x7b5f, 0x7da998, 0x9547, 0x8a3a7b,
-    0xb1a7, 0x96cb58, 0xd07e, 0xa35c30,
-    0xf1ce, 0xafed02, 0x11594, 0xbc7dcc,
-    0x13bd3, 0xc90e90, 0x16489, 0xd59f4c,
-    0x18fb6, 0xe22fff, 0x1bd5c, 0xeec0aa,
-    0x1ed78, 0xfb514b, 0x2200d, 0x107e1e3,
-    0x25519, 0x1147271, 0x28c9c, 0x12102f4,
-    0x2c697, 0x12d936c, 0x3030a, 0x13a23d8,
-    0x341f4, 0x146b438, 0x38356, 0x153448c,
-    0x3c72f, 0x15fd4d2, 0x40d80, 0x16c650b,
-    0x45648, 0x178f536, 0x4a188, 0x1858552,
-    0x4ef3f, 0x192155f, 0x53f6e, 0x19ea55d,
-    0x59214, 0x1ab354b, 0x5e731, 0x1b7c528,
-    0x63ec6, 0x1c454f5, 0x698d3, 0x1d0e4b0,
-    0x6f556, 0x1dd7459, 0x75452, 0x1ea03ef,
-    0x7b5c4, 0x1f69373, 0x819ae, 0x20322e3,
-    0x8800f, 0x20fb240, 0x8e8e8, 0x21c4188,
-    0x95438, 0x228d0bb, 0x9c1ff, 0x2355fd9,
-    0xa323d, 0x241eee2, 0xaa4f3, 0x24e7dd4,
-    0xb1a20, 0x25b0caf, 0xb91c4, 0x2679b73,
-    0xc0be0, 0x2742a1f, 0xc8872, 0x280b8b3,
-    0xd077c, 0x28d472e, 0xd88fd, 0x299d590,
-    0xe0cf5, 0x2a663d8, 0xe9364, 0x2b2f207,
-    0xf1c4a, 0x2bf801a, 0xfa7a8, 0x2cc0e13,
-    0x10357c, 0x2d89bf0, 0x10c5c7, 0x2e529b0,
-    0x11588a, 0x2f1b755, 0x11edc3, 0x2fe44dc,
-    0x128574, 0x30ad245, 0x131f9b, 0x3175f91,
-    0x13bc39, 0x323ecbe, 0x145b4e, 0x33079cc,
-    0x14fcda, 0x33d06bb, 0x15a0dd, 0x3499389,
-    0x164757, 0x3562038, 0x16f047, 0x362acc5,
-    0x179bae, 0x36f3931, 0x18498c, 0x37bc57b,
-    0x18f9e1, 0x38851a2, 0x19acac, 0x394dda7,
-    0x1a61ee, 0x3a16988, 0x1b19a7, 0x3adf546,
-    0x1bd3d6, 0x3ba80df, 0x1c907c, 0x3c70c54,
-    0x1d4f99, 0x3d397a3, 0x1e112b, 0x3e022cc,
-    0x1ed535, 0x3ecadcf, 0x1f9bb5, 0x3f938ac,
-    0x2064ab, 0x405c361, 0x213018, 0x4124dee,
-    0x21fdfb, 0x41ed854, 0x22ce54, 0x42b6290,
-    0x23a124, 0x437eca4, 0x24766a, 0x444768d,
-    0x254e27, 0x451004d, 0x262859, 0x45d89e2,
-    0x270502, 0x46a134c, 0x27e421, 0x4769c8b,
-    0x28c5b6, 0x483259d, 0x29a9c1, 0x48fae83,
-    0x2a9042, 0x49c373c, 0x2b7939, 0x4a8bfc7,
-    0x2c64a6, 0x4b54825, 0x2d5289, 0x4c1d054,
-    0x2e42e2, 0x4ce5854, 0x2f35b1, 0x4dae024,
-    0x302af5, 0x4e767c5, 0x3122b0, 0x4f3ef35,
-    0x321ce0, 0x5007674, 0x331986, 0x50cfd82,
-    0x3418a2, 0x519845e, 0x351a33, 0x5260b08,
-    0x361e3a, 0x532917f, 0x3724b6, 0x53f17c3,
-    0x382da8, 0x54b9dd3, 0x393910, 0x55823ae,
-    0x3a46ed, 0x564a955, 0x3b573f, 0x5712ec7,
-    0x3c6a07, 0x57db403, 0x3d7f44, 0x58a3908,
-    0x3e96f6, 0x596bdd7, 0x3fb11d, 0x5a3426f,
-    0x40cdba, 0x5afc6d0, 0x41eccc, 0x5bc4af8,
-    0x430e53, 0x5c8cee7, 0x44324f, 0x5d5529e,
-    0x4558c0, 0x5e1d61b, 0x4681a6, 0x5ee595d,
-    0x47ad01, 0x5fadc66, 0x48dad1, 0x6075f33,
-    0x4a0b16, 0x613e1c5, 0x4b3dcf, 0x620641a,
-    0x4c72fe, 0x62ce634, 0x4daaa1, 0x6396810,
-    0x4ee4b8, 0x645e9af, 0x502145, 0x6526b10,
-    0x516045, 0x65eec33, 0x52a1bb, 0x66b6d16,
-    0x53e5a5, 0x677edbb, 0x552c03, 0x6846e1f,
-    0x5674d6, 0x690ee44, 0x57c01d, 0x69d6e27,
-    0x590dd8, 0x6a9edc9, 0x5a5e07, 0x6b66d29,
-    0x5bb0ab, 0x6c2ec48, 0x5d05c3, 0x6cf6b23,
-    0x5e5d4e, 0x6dbe9bb, 0x5fb74e, 0x6e86810,
-    0x6113c2, 0x6f4e620, 0x6272aa, 0x70163eb,
-    0x63d405, 0x70de172, 0x6537d4, 0x71a5eb3,
-    0x669e18, 0x726dbae, 0x6806ce, 0x7335862,
-    0x6971f9, 0x73fd4cf, 0x6adf97, 0x74c50f4,
-    0x6c4fa8, 0x758ccd2, 0x6dc22e, 0x7654867,
-    0x6f3726, 0x771c3b3, 0x70ae92, 0x77e3eb5,
-    0x722871, 0x78ab96e, 0x73a4c3, 0x79733dc,
-    0x752389, 0x7a3adff, 0x76a4c2, 0x7b027d7,
-    0x78286e, 0x7bca163, 0x79ae8c, 0x7c91aa3,
-    0x7b371e, 0x7d59396, 0x7cc223, 0x7e20c3b,
-    0x7e4f9b, 0x7ee8493, 0x7fdf85, 0x7fafc9c,
-    0x8171e2, 0x8077457, 0x8306b2, 0x813ebc2,
-    0x849df4, 0x82062de, 0x8637a9, 0x82cd9a9,
-    0x87d3d0, 0x8395024, 0x89726a, 0x845c64d,
-    0x8b1376, 0x8523c25, 0x8cb6f5, 0x85eb1ab,
-    0x8e5ce5, 0x86b26de, 0x900548, 0x8779bbe,
-    0x91b01d, 0x884104b, 0x935d64, 0x8908483,
-    0x950d1d, 0x89cf867, 0x96bf48, 0x8a96bf6,
-    0x9873e4, 0x8b5df30, 0x9a2af3, 0x8c25213,
-    0x9be473, 0x8cec4a0, 0x9da065, 0x8db36d6,
-    0x9f5ec8, 0x8e7a8b5, 0xa11f9d, 0x8f41a3c,
-    0xa2e2e3, 0x9008b6a, 0xa4a89b, 0x90cfc40,
-    0xa670c4, 0x9196cbc, 0xa83b5e, 0x925dcdf,
-    0xaa086a, 0x9324ca7, 0xabd7e6, 0x93ebc14,
-    0xada9d4, 0x94b2b27, 0xaf7e33, 0x95799dd,
-    0xb15502, 0x9640837, 0xb32e42, 0x9707635,
-    0xb509f3, 0x97ce3d5, 0xb6e815, 0x9895118,
-    0xb8c8a7, 0x995bdfd, 0xbaabaa, 0x9a22a83,
-    0xbc911d, 0x9ae96aa, 0xbe7901, 0x9bb0271,
-    0xc06355, 0x9c76dd8, 0xc25019, 0x9d3d8df,
-    0xc43f4d, 0x9e04385, 0xc630f2, 0x9ecadc9,
-    0xc82506, 0x9f917ac, 0xca1b8a, 0xa05812c,
-    0xcc147f, 0xa11ea49, 0xce0fe3, 0xa1e5303,
-    0xd00db6, 0xa2abb59, 0xd20dfa, 0xa37234a,
-    0xd410ad, 0xa438ad7, 0xd615cf, 0xa4ff1fe,
-    0xd81d61, 0xa5c58c0, 0xda2762, 0xa68bf1b,
-    0xdc33d2, 0xa752510, 0xde42b2, 0xa818a9d,
-    0xe05401, 0xa8defc3, 0xe267be, 0xa9a5480,
-    0xe47deb, 0xaa6b8d5, 0xe69686, 0xab31cc1,
-    0xe8b190, 0xabf8043, 0xeacf09, 0xacbe35b,
-    0xeceef1, 0xad84609, 0xef1147, 0xae4a84b,
-    0xf1360b, 0xaf10a22, 0xf35d3e, 0xafd6b8d,
-    0xf586df, 0xb09cc8c, 0xf7b2ee, 0xb162d1d,
-    0xf9e16b, 0xb228d42, 0xfc1257, 0xb2eecf8,
-    0xfe45b0, 0xb3b4c40, 0x1007b77, 0xb47ab19,
-    0x102b3ac, 0xb540982, 0x104ee4f, 0xb60677c,
-    0x1072b5f, 0xb6cc506, 0x1096add, 0xb79221f,
-    0x10bacc8, 0xb857ec7, 0x10df120, 0xb91dafc,
-    0x11037e6, 0xb9e36c0, 0x1128119, 0xbaa9211,
-    0x114ccb9, 0xbb6ecef, 0x1171ac6, 0xbc34759,
-    0x1196b3f, 0xbcfa150, 0x11bbe26, 0xbdbfad1,
-    0x11e1379, 0xbe853de, 0x1206b39, 0xbf4ac75,
-    0x122c566, 0xc010496, 0x12521ff, 0xc0d5c41,
-    0x1278104, 0xc19b374, 0x129e276, 0xc260a31,
-    0x12c4653, 0xc326075, 0x12eac9d, 0xc3eb641,
-    0x1311553, 0xc4b0b94, 0x1338075, 0xc57606e,
-    0x135ee02, 0xc63b4ce, 0x1385dfb, 0xc7008b3,
-    0x13ad060, 0xc7c5c1e, 0x13d4530, 0xc88af0e,
-    0x13fbc6c, 0xc950182, 0x1423613, 0xca1537a,
-    0x144b225, 0xcada4f5, 0x14730a3, 0xcb9f5f3,
-    0x149b18b, 0xcc64673, 0x14c34df, 0xcd29676,
-    0x14eba9d, 0xcdee5f9, 0x15142c6, 0xceb34fe,
-    0x153cd5a, 0xcf78383, 0x1565a58, 0xd03d189,
-    0x158e9c1, 0xd101f0e, 0x15b7b94, 0xd1c6c11,
-    0x15e0fd1, 0xd28b894, 0x160a678, 0xd350495,
-    0x1633f8a, 0xd415013, 0x165db05, 0xd4d9b0e,
-    0x16878eb, 0xd59e586, 0x16b193a, 0xd662f7b,
-    0x16dbbf3, 0xd7278eb, 0x1706115, 0xd7ec1d6,
-    0x17308a1, 0xd8b0a3d, 0x175b296, 0xd97521d,
-    0x1785ef4, 0xda39978, 0x17b0dbb, 0xdafe04b,
-    0x17dbeec, 0xdbc2698, 0x1807285, 0xdc86c5d,
-    0x1832888, 0xdd4b19a, 0x185e0f3, 0xde0f64f,
-    0x1889bc6, 0xded3a7b, 0x18b5903, 0xdf97e1d,
-    0x18e18a7, 0xe05c135, 0x190dab4, 0xe1203c3,
-    0x1939f29, 0xe1e45c6, 0x1966606, 0xe2a873e,
-    0x1992f4c, 0xe36c82a, 0x19bfaf9, 0xe430889,
-    0x19ec90d, 0xe4f485c, 0x1a1998a, 0xe5b87a2,
-    0x1a46c6e, 0xe67c65a, 0x1a741b9, 0xe740483,
-    0x1aa196c, 0xe80421e, 0x1acf386, 0xe8c7f2a,
-    0x1afd007, 0xe98bba7, 0x1b2aef0, 0xea4f793,
-    0x1b5903f, 0xeb132ef, 0x1b873f5, 0xebd6db9,
-    0x1bb5a11, 0xec9a7f3, 0x1be4294, 0xed5e19a,
-    0x1c12d7e, 0xee21aaf, 0x1c41ace, 0xeee5331,
-    0x1c70a84, 0xefa8b20, 0x1c9fca0, 0xf06c27a,
-    0x1ccf122, 0xf12f941, 0x1cfe80a, 0xf1f2f73,
-    0x1d2e158, 0xf2b650f, 0x1d5dd0c, 0xf379a16,
-    0x1d8db25, 0xf43ce86, 0x1dbdba3, 0xf500260,
-    0x1dede87, 0xf5c35a3, 0x1e1e3d0, 0xf68684e,
-    0x1e4eb7e, 0xf749a61, 0x1e7f591, 0xf80cbdc,
-    0x1eb0209, 0xf8cfcbe, 0x1ee10e5, 0xf992d06,
-    0x1f12227, 0xfa55cb4, 0x1f435cc, 0xfb18bc8,
-    0x1f74bd6, 0xfbdba40, 0x1fa6445, 0xfc9e81e,
-    0x1fd7f17, 0xfd6155f, 0x2009c4e, 0xfe24205,
-    0x203bbe8, 0xfee6e0d, 0x206dde6, 0xffa9979,
-    0x20a0248, 0x1006c446, 0x20d290d, 0x1012ee76,
-    0x2105236, 0x101f1807, 0x2137dc2, 0x102b40f8,
-    0x216abb1, 0x1037694b, 0x219dc03, 0x104390fd,
-    0x21d0eb8, 0x104fb80e, 0x22043d0, 0x105bde7f,
-    0x2237b4b, 0x1068044e, 0x226b528, 0x1074297b,
-    0x229f167, 0x10804e06, 0x22d3009, 0x108c71ee,
-    0x230710d, 0x10989532, 0x233b473, 0x10a4b7d3,
-    0x236fa3b, 0x10b0d9d0, 0x23a4265, 0x10bcfb28,
-    0x23d8cf1, 0x10c91bda, 0x240d9de, 0x10d53be7,
-    0x244292c, 0x10e15b4e, 0x2477adc, 0x10ed7a0e,
-    0x24aceed, 0x10f99827, 0x24e255e, 0x1105b599,
-    0x2517e31, 0x1111d263, 0x254d965, 0x111dee84,
-    0x25836f9, 0x112a09fc, 0x25b96ee, 0x113624cb,
-    0x25ef943, 0x11423ef0, 0x2625df8, 0x114e586a,
-    0x265c50e, 0x115a713a, 0x2692e83, 0x1166895f,
-    0x26c9a58, 0x1172a0d7, 0x270088e, 0x117eb7a4,
-    0x2737922, 0x118acdc4, 0x276ec16, 0x1196e337,
-    0x27a616a, 0x11a2f7fc, 0x27dd91c, 0x11af0c13,
-    0x281532e, 0x11bb1f7c, 0x284cf9f, 0x11c73235,
-    0x2884e6e, 0x11d3443f, 0x28bcf9c, 0x11df5599,
-    0x28f5329, 0x11eb6643, 0x292d914, 0x11f7763c,
-    0x296615d, 0x12038584, 0x299ec05, 0x120f941a,
-    0x29d790a, 0x121ba1fd, 0x2a1086d, 0x1227af2e,
-    0x2a49a2e, 0x1233bbac, 0x2a82e4d, 0x123fc776,
-    0x2abc4c9, 0x124bd28c, 0x2af5da2, 0x1257dced,
-    0x2b2f8d8, 0x1263e699, 0x2b6966c, 0x126fef90,
-    0x2ba365c, 0x127bf7d1, 0x2bdd8a9, 0x1287ff5b,
-    0x2c17d52, 0x1294062f, 0x2c52459, 0x12a00c4b,
-    0x2c8cdbb, 0x12ac11af, 0x2cc7979, 0x12b8165b,
-    0x2d02794, 0x12c41a4f, 0x2d3d80a, 0x12d01d89,
-    0x2d78add, 0x12dc2009, 0x2db400a, 0x12e821cf,
-    0x2def794, 0x12f422db, 0x2e2b178, 0x1300232c,
-    0x2e66db8, 0x130c22c1, 0x2ea2c53, 0x1318219a,
-    0x2eded49, 0x13241fb6, 0x2f1b099, 0x13301d16,
-    0x2f57644, 0x133c19b8, 0x2f93e4a, 0x1348159d,
-    0x2fd08a9, 0x135410c3, 0x300d563, 0x13600b2a,
-    0x304a477, 0x136c04d2, 0x30875e5, 0x1377fdbb,
-    0x30c49ad, 0x1383f5e3, 0x3101fce, 0x138fed4b,
-    0x313f848, 0x139be3f2, 0x317d31c, 0x13a7d9d7,
-    0x31bb049, 0x13b3cefa, 0x31f8fcf, 0x13bfc35b,
-    0x32371ae, 0x13cbb6f8, 0x32755e5, 0x13d7a9d3,
-    0x32b3c75, 0x13e39be9, 0x32f255e, 0x13ef8d3c,
-    0x333109e, 0x13fb7dc9, 0x336fe37, 0x14076d91,
-    0x33aee27, 0x14135c94, 0x33ee070, 0x141f4ad1,
-    0x342d510, 0x142b3846, 0x346cc07, 0x143724f5,
-    0x34ac556, 0x144310dd, 0x34ec0fc, 0x144efbfc,
-    0x352bef9, 0x145ae653, 0x356bf4d, 0x1466cfe1,
-    0x35ac1f7, 0x1472b8a5, 0x35ec6f8, 0x147ea0a0,
-    0x362ce50, 0x148a87d1, 0x366d7fd, 0x14966e36,
-    0x36ae401, 0x14a253d1, 0x36ef25b, 0x14ae38a0,
-    0x373030a, 0x14ba1ca3, 0x377160f, 0x14c5ffd9,
-    0x37b2b6a, 0x14d1e242, 0x37f4319, 0x14ddc3de,
-    0x3835d1e, 0x14e9a4ac, 0x3877978, 0x14f584ac,
-    0x38b9827, 0x150163dc, 0x38fb92a, 0x150d423d,
-    0x393dc82, 0x15191fcf, 0x398022f, 0x1524fc90,
-    0x39c2a2f, 0x1530d881, 0x3a05484, 0x153cb3a0,
-    0x3a4812c, 0x15488dee, 0x3a8b028, 0x1554676a,
-    0x3ace178, 0x15604013, 0x3b1151b, 0x156c17e9,
-    0x3b54b11, 0x1577eeec, 0x3b9835a, 0x1583c51b,
-    0x3bdbdf6, 0x158f9a76, 0x3c1fae5, 0x159b6efb,
-    0x3c63a26, 0x15a742ac, 0x3ca7bba, 0x15b31587,
-    0x3cebfa0, 0x15bee78c, 0x3d305d8, 0x15cab8ba,
-    0x3d74e62, 0x15d68911, 0x3db993e, 0x15e25890,
-    0x3dfe66c, 0x15ee2738, 0x3e435ea, 0x15f9f507,
-    0x3e887bb, 0x1605c1fd, 0x3ecdbdc, 0x16118e1a,
-    0x3f1324e, 0x161d595d, 0x3f58b10, 0x162923c5,
-    0x3f9e624, 0x1634ed53, 0x3fe4388, 0x1640b606,
-    0x402a33c, 0x164c7ddd, 0x4070540, 0x165844d8,
-    0x40b6994, 0x16640af7, 0x40fd037, 0x166fd039,
-    0x414392b, 0x167b949d, 0x418a46d, 0x16875823,
-    0x41d11ff, 0x16931acb, 0x42181e0, 0x169edc94,
-    0x425f410, 0x16aa9d7e, 0x42a688f, 0x16b65d88,
-    0x42edf5c, 0x16c21cb2, 0x4335877, 0x16cddafb,
-    0x437d3e1, 0x16d99864, 0x43c5199, 0x16e554ea,
-    0x440d19e, 0x16f1108f, 0x44553f2, 0x16fccb51,
-    0x449d892, 0x17088531, 0x44e5f80, 0x17143e2d,
-    0x452e8bc, 0x171ff646, 0x4577444, 0x172bad7a,
-    0x45c0219, 0x173763c9, 0x460923b, 0x17431933,
-    0x46524a9, 0x174ecdb8, 0x469b963, 0x175a8157,
-    0x46e5069, 0x1766340f, 0x472e9bc, 0x1771e5e0,
-    0x477855a, 0x177d96ca, 0x47c2344, 0x178946cc,
-    0x480c379, 0x1794f5e6, 0x48565f9, 0x17a0a417,
-    0x48a0ac4, 0x17ac515f, 0x48eb1db, 0x17b7fdbd,
-    0x4935b3c, 0x17c3a931, 0x49806e7, 0x17cf53bb,
-    0x49cb4dd, 0x17dafd59, 0x4a1651c, 0x17e6a60c,
-    0x4a617a6, 0x17f24dd3, 0x4aacc7a, 0x17fdf4ae,
-    0x4af8397, 0x18099a9c, 0x4b43cfd, 0x18153f9d,
-    0x4b8f8ad, 0x1820e3b0, 0x4bdb6a6, 0x182c86d5,
-    0x4c276e8, 0x1838290c, 0x4c73972, 0x1843ca53,
-    0x4cbfe45, 0x184f6aab, 0x4d0c560, 0x185b0a13,
-    0x4d58ec3, 0x1866a88a, 0x4da5a6f, 0x18724611,
-    0x4df2862, 0x187de2a7, 0x4e3f89c, 0x18897e4a,
-    0x4e8cb1e, 0x189518fc, 0x4ed9fe7, 0x18a0b2bb,
-    0x4f276f7, 0x18ac4b87, 0x4f7504e, 0x18b7e35f,
-    0x4fc2bec, 0x18c37a44, 0x50109d0, 0x18cf1034,
-    0x505e9fb, 0x18daa52f, 0x50acc6b, 0x18e63935,
-    0x50fb121, 0x18f1cc45, 0x514981d, 0x18fd5e5f,
-    0x519815f, 0x1908ef82, 0x51e6ce6, 0x19147fae,
-    0x5235ab2, 0x19200ee3, 0x5284ac3, 0x192b9d1f,
-    0x52d3d18, 0x19372a64, 0x53231b3, 0x1942b6af,
-    0x5372891, 0x194e4201, 0x53c21b4, 0x1959cc5a,
-    0x5411d1b, 0x196555b8, 0x5461ac6, 0x1970de1b,
-    0x54b1ab4, 0x197c6584, 0x5501ce5, 0x1987ebf0,
-    0x555215a, 0x19937161, 0x55a2812, 0x199ef5d6,
-    0x55f310d, 0x19aa794d, 0x5643c4a, 0x19b5fbc8,
-    0x56949ca, 0x19c17d44, 0x56e598c, 0x19ccfdc2,
-    0x5736b90, 0x19d87d42, 0x5787fd6, 0x19e3fbc3,
-    0x57d965d, 0x19ef7944, 0x582af26, 0x19faf5c5,
-    0x587ca31, 0x1a067145, 0x58ce77c, 0x1a11ebc5,
-    0x5920708, 0x1a1d6544, 0x59728d5, 0x1a28ddc0,
-    0x59c4ce3, 0x1a34553b, 0x5a17330, 0x1a3fcbb3,
-    0x5a69bbe, 0x1a4b4128, 0x5abc68c, 0x1a56b599,
-    0x5b0f399, 0x1a622907, 0x5b622e6, 0x1a6d9b70,
-    0x5bb5472, 0x1a790cd4, 0x5c0883d, 0x1a847d33,
-    0x5c5be47, 0x1a8fec8c, 0x5caf690, 0x1a9b5adf,
-    0x5d03118, 0x1aa6c82b, 0x5d56ddd, 0x1ab23471,
-    0x5daace1, 0x1abd9faf, 0x5dfee22, 0x1ac909e5,
-    0x5e531a1, 0x1ad47312, 0x5ea775e, 0x1adfdb37,
-    0x5efbf58, 0x1aeb4253, 0x5f5098f, 0x1af6a865,
-    0x5fa5603, 0x1b020d6c, 0x5ffa4b3, 0x1b0d716a,
-    0x604f5a0, 0x1b18d45c, 0x60a48c9, 0x1b243643,
-    0x60f9e2e, 0x1b2f971e, 0x614f5cf, 0x1b3af6ec,
-    0x61a4fac, 0x1b4655ae, 0x61fabc4, 0x1b51b363,
-    0x6250a18, 0x1b5d100a, 0x62a6aa6, 0x1b686ba3,
-    0x62fcd6f, 0x1b73c62d, 0x6353273, 0x1b7f1fa9,
-    0x63a99b1, 0x1b8a7815, 0x6400329, 0x1b95cf71,
-    0x6456edb, 0x1ba125bd, 0x64adcc7, 0x1bac7af9,
-    0x6504ced, 0x1bb7cf23, 0x655bf4c, 0x1bc3223c,
-    0x65b33e4, 0x1bce7442, 0x660aab5, 0x1bd9c537,
-    0x66623be, 0x1be51518, 0x66b9f01, 0x1bf063e6,
-    0x6711c7b, 0x1bfbb1a0, 0x6769c2e, 0x1c06fe46,
-    0x67c1e18, 0x1c1249d8, 0x681a23a, 0x1c1d9454,
-    0x6872894, 0x1c28ddbb, 0x68cb124, 0x1c34260c,
-    0x6923bec, 0x1c3f6d47, 0x697c8eb, 0x1c4ab36b,
-    0x69d5820, 0x1c55f878, 0x6a2e98b, 0x1c613c6d,
-    0x6a87d2d, 0x1c6c7f4a, 0x6ae1304, 0x1c77c10e,
-    0x6b3ab12, 0x1c8301b9, 0x6b94554, 0x1c8e414b,
-    0x6bee1cd, 0x1c997fc4, 0x6c4807a, 0x1ca4bd21,
-    0x6ca215c, 0x1caff965, 0x6cfc472, 0x1cbb348d,
-    0x6d569be, 0x1cc66e99, 0x6db113d, 0x1cd1a78a,
-    0x6e0baf0, 0x1cdcdf5e, 0x6e666d7, 0x1ce81615,
-    0x6ec14f2, 0x1cf34baf, 0x6f1c540, 0x1cfe802b,
-    0x6f777c1, 0x1d09b389, 0x6fd2c75, 0x1d14e5c9,
-    0x702e35c, 0x1d2016e9, 0x7089c75, 0x1d2b46ea,
-    0x70e57c0, 0x1d3675cb, 0x714153e, 0x1d41a38c,
-    0x719d4ed, 0x1d4cd02c, 0x71f96ce, 0x1d57fbaa,
-    0x7255ae0, 0x1d632608, 0x72b2123, 0x1d6e4f43,
-    0x730e997, 0x1d79775c, 0x736b43c, 0x1d849e51,
-    0x73c8111, 0x1d8fc424, 0x7425016, 0x1d9ae8d2,
-    0x748214c, 0x1da60c5d, 0x74df4b1, 0x1db12ec3,
-    0x753ca46, 0x1dbc5004, 0x759a20a, 0x1dc7701f,
-    0x75f7bfe, 0x1dd28f15, 0x7655820, 0x1dddace4,
-    0x76b3671, 0x1de8c98c, 0x77116f0, 0x1df3e50d,
-    0x776f99d, 0x1dfeff67, 0x77cde79, 0x1e0a1898,
-    0x782c582, 0x1e1530a1, 0x788aeb9, 0x1e204781,
-    0x78e9a1d, 0x1e2b5d38, 0x79487ae, 0x1e3671c5,
-    0x79a776c, 0x1e418528, 0x7a06957, 0x1e4c9760,
-    0x7a65d6e, 0x1e57a86d, 0x7ac53b1, 0x1e62b84f,
-    0x7b24c20, 0x1e6dc705, 0x7b846ba, 0x1e78d48e,
-    0x7be4381, 0x1e83e0eb, 0x7c44272, 0x1e8eec1b,
-    0x7ca438f, 0x1e99f61d, 0x7d046d6, 0x1ea4fef0,
-    0x7d64c47, 0x1eb00696, 0x7dc53e3, 0x1ebb0d0d,
-    0x7e25daa, 0x1ec61254, 0x7e8699a, 0x1ed1166b,
-    0x7ee77b3, 0x1edc1953, 0x7f487f6, 0x1ee71b0a,
-    0x7fa9a62, 0x1ef21b90, 0x800aef7, 0x1efd1ae4,
-    0x806c5b5, 0x1f081907, 0x80cde9b, 0x1f1315f7,
-    0x812f9a9, 0x1f1e11b5, 0x81916df, 0x1f290c3f,
-    0x81f363d, 0x1f340596, 0x82557c3, 0x1f3efdb9,
-    0x82b7b70, 0x1f49f4a8, 0x831a143, 0x1f54ea62,
-    0x837c93e, 0x1f5fdee6, 0x83df35f, 0x1f6ad235,
-    0x8441fa6, 0x1f75c44e, 0x84a4e14, 0x1f80b531,
-    0x8507ea7, 0x1f8ba4dc, 0x856b160, 0x1f969350,
-    0x85ce63e, 0x1fa1808c, 0x8631d42, 0x1fac6c91,
-    0x869566a, 0x1fb7575c, 0x86f91b7, 0x1fc240ef,
-    0x875cf28, 0x1fcd2948, 0x87c0ebd, 0x1fd81067,
-    0x8825077, 0x1fe2f64c, 0x8889454, 0x1feddaf6,
-    0x88eda54, 0x1ff8be65, 0x8952278, 0x2003a099,
-    0x89b6cbf, 0x200e8190, 0x8a1b928, 0x2019614c,
-    0x8a807b4, 0x20243fca, 0x8ae5862, 0x202f1d0b,
-    0x8b4ab32, 0x2039f90f, 0x8bb0023, 0x2044d3d4,
-    0x8c15736, 0x204fad5b, 0x8c7b06b, 0x205a85a3,
-    0x8ce0bc0, 0x20655cac, 0x8d46936, 0x20703275,
-    0x8dac8cd, 0x207b06fe, 0x8e12a84, 0x2085da46,
-    0x8e78e5b, 0x2090ac4d, 0x8edf452, 0x209b7d13,
-    0x8f45c68, 0x20a64c97, 0x8fac69e, 0x20b11ad9,
-    0x90132f2, 0x20bbe7d8, 0x907a166, 0x20c6b395,
-    0x90e11f7, 0x20d17e0d, 0x91484a8, 0x20dc4742,
-    0x91af976, 0x20e70f32, 0x9217062, 0x20f1d5de,
-    0x927e96b, 0x20fc9b44, 0x92e6492, 0x21075f65,
-    0x934e1d6, 0x21122240, 0x93b6137, 0x211ce3d5,
-    0x941e2b4, 0x2127a423, 0x948664d, 0x21326329,
-    0x94eec03, 0x213d20e8, 0x95573d4, 0x2147dd5f,
-    0x95bfdc1, 0x2152988d, 0x96289c9, 0x215d5273,
-    0x96917ec, 0x21680b0f, 0x96fa82a, 0x2172c262,
-    0x9763a83, 0x217d786a, 0x97ccef5, 0x21882d28,
-    0x9836582, 0x2192e09b, 0x989fe29, 0x219d92c2,
-    0x99098e9, 0x21a8439e, 0x99735c2, 0x21b2f32e,
-    0x99dd4b4, 0x21bda171, 0x9a475bf, 0x21c84e67,
-    0x9ab18e3, 0x21d2fa0f, 0x9b1be1e, 0x21dda46a,
-    0x9b86572, 0x21e84d76, 0x9bf0edd, 0x21f2f534,
-    0x9c5ba60, 0x21fd9ba3, 0x9cc67fa, 0x220840c2,
-    0x9d317ab, 0x2212e492, 0x9d9c973, 0x221d8711,
-    0x9e07d51, 0x2228283f, 0x9e73346, 0x2232c81c,
-    0x9edeb50, 0x223d66a8, 0x9f4a570, 0x224803e2,
-    0x9fb61a5, 0x22529fca, 0xa021fef, 0x225d3a5e,
-    0xa08e04f, 0x2267d3a0, 0xa0fa2c3, 0x22726b8e,
-    0xa16674b, 0x227d0228, 0xa1d2de7, 0x2287976e,
-    0xa23f698, 0x22922b5e, 0xa2ac15b, 0x229cbdfa,
-    0xa318e32, 0x22a74f40, 0xa385d1d, 0x22b1df30,
-    0xa3f2e19, 0x22bc6dca, 0xa460129, 0x22c6fb0c,
-    0xa4cd64b, 0x22d186f8, 0xa53ad7e, 0x22dc118c,
-    0xa5a86c4, 0x22e69ac8, 0xa61621b, 0x22f122ab,
-    0xa683f83, 0x22fba936, 0xa6f1efc, 0x23062e67,
-    0xa760086, 0x2310b23e, 0xa7ce420, 0x231b34bc,
-    0xa83c9ca, 0x2325b5df, 0xa8ab184, 0x233035a7,
-    0xa919b4e, 0x233ab414, 0xa988727, 0x23453125,
-    0xa9f750f, 0x234facda, 0xaa66506, 0x235a2733,
-    0xaad570c, 0x2364a02e, 0xab44b1f, 0x236f17cc,
-    0xabb4141, 0x23798e0d, 0xac23971, 0x238402ef,
-    0xac933ae, 0x238e7673, 0xad02ff8, 0x2398e898,
-    0xad72e4f, 0x23a3595e, 0xade2eb3, 0x23adc8c4,
-    0xae53123, 0x23b836ca, 0xaec35a0, 0x23c2a36f,
-    0xaf33c28, 0x23cd0eb3, 0xafa44bc, 0x23d77896,
-    0xb014f5b, 0x23e1e117, 0xb085c05, 0x23ec4837,
-    0xb0f6aba, 0x23f6adf3, 0xb167b79, 0x2401124d,
-    0xb1d8e43, 0x240b7543, 0xb24a316, 0x2415d6d5,
-    0xb2bb9f4, 0x24203704, 0xb32d2da, 0x242a95ce,
-    0xb39edca, 0x2434f332, 0xb410ac3, 0x243f4f32,
-    0xb4829c4, 0x2449a9cc, 0xb4f4acd, 0x245402ff,
-    0xb566ddf, 0x245e5acc, 0xb5d92f8, 0x2468b132,
-    0xb64ba19, 0x24730631, 0xb6be341, 0x247d59c8,
-    0xb730e70, 0x2487abf7, 0xb7a3ba5, 0x2491fcbe,
-    0xb816ae1, 0x249c4c1b, 0xb889c23, 0x24a69a0f,
-    0xb8fcf6b, 0x24b0e699, 0xb9704b9, 0x24bb31ba,
-    0xb9e3c0b, 0x24c57b6f, 0xba57563, 0x24cfc3ba,
-    0xbacb0bf, 0x24da0a9a, 0xbb3ee20, 0x24e4500e,
-    0xbbb2d85, 0x24ee9415, 0xbc26eee, 0x24f8d6b0,
-    0xbc9b25a, 0x250317df, 0xbd0f7ca, 0x250d57a0,
-    0xbd83f3d, 0x251795f3, 0xbdf88b3, 0x2521d2d8,
-    0xbe6d42b, 0x252c0e4f, 0xbee21a5, 0x25364857,
-    0xbf57121, 0x254080ef, 0xbfcc29f, 0x254ab818,
-    0xc04161e, 0x2554edd1, 0xc0b6b9e, 0x255f2219,
-    0xc12c31f, 0x256954f1, 0xc1a1ca0, 0x25738657,
-    0xc217822, 0x257db64c, 0xc28d5a3, 0x2587e4cf,
-    0xc303524, 0x259211df, 0xc3796a5, 0x259c3d7c,
-    0xc3efa25, 0x25a667a7, 0xc465fa3, 0x25b0905d,
-    0xc4dc720, 0x25bab7a0, 0xc55309b, 0x25c4dd6e,
-    0xc5c9c14, 0x25cf01c8, 0xc64098b, 0x25d924ac,
-    0xc6b78ff, 0x25e3461b, 0xc72ea70, 0x25ed6614,
-    0xc7a5dde, 0x25f78497, 0xc81d349, 0x2601a1a2,
-    0xc894aaf, 0x260bbd37, 0xc90c412, 0x2615d754,
-    0xc983f70, 0x261feffa, 0xc9fbcca, 0x262a0727,
-    0xca73c1e, 0x26341cdb, 0xcaebd6e, 0x263e3117,
-    0xcb640b8, 0x264843d9, 0xcbdc5fc, 0x26525521,
-    0xcc54d3a, 0x265c64ef, 0xcccd671, 0x26667342,
-    0xcd461a2, 0x2670801a, 0xcdbeecc, 0x267a8b77,
-    0xce37def, 0x26849558, 0xceb0f0a, 0x268e9dbd,
-    0xcf2a21d, 0x2698a4a6, 0xcfa3729, 0x26a2aa11,
-    0xd01ce2b, 0x26acadff, 0xd096725, 0x26b6b070,
-    0xd110216, 0x26c0b162, 0xd189efe, 0x26cab0d6,
-    0xd203ddc, 0x26d4aecb, 0xd27deb0, 0x26deab41,
-    0xd2f817b, 0x26e8a637, 0xd37263a, 0x26f29fad,
-    0xd3eccef, 0x26fc97a3, 0xd467599, 0x27068e18,
-    0xd4e2037, 0x2710830c, 0xd55ccca, 0x271a767e,
-    0xd5d7b50, 0x2724686e, 0xd652bcb, 0x272e58dc,
-    0xd6cde39, 0x273847c8, 0xd74929a, 0x27423530,
-    0xd7c48ee, 0x274c2115, 0xd840134, 0x27560b76,
-    0xd8bbb6d, 0x275ff452, 0xd937798, 0x2769dbaa,
-    0xd9b35b4, 0x2773c17d, 0xda2f5c2, 0x277da5cb,
-    0xdaab7c0, 0x27878893, 0xdb27bb0, 0x279169d5,
-    0xdba4190, 0x279b4990, 0xdc20960, 0x27a527c4,
-    0xdc9d320, 0x27af0472, 0xdd19ed0, 0x27b8df97,
-    0xdd96c6f, 0x27c2b934, 0xde13bfd, 0x27cc9149,
-    0xde90d79, 0x27d667d5, 0xdf0e0e4, 0x27e03cd8,
-    0xdf8b63d, 0x27ea1052, 0xe008d84, 0x27f3e241,
-    0xe0866b8, 0x27fdb2a7, 0xe1041d9, 0x28078181,
-    0xe181ee8, 0x28114ed0, 0xe1ffde2, 0x281b1a94,
-    0xe27dec9, 0x2824e4cc, 0xe2fc19c, 0x282ead78,
-    0xe37a65b, 0x28387498, 0xe3f8d05, 0x28423a2a,
-    0xe47759a, 0x284bfe2f, 0xe4f6019, 0x2855c0a6,
-    0xe574c84, 0x285f8190, 0xe5f3ad8, 0x286940ea,
-    0xe672b16, 0x2872feb6, 0xe6f1d3d, 0x287cbaf3,
-    0xe77114e, 0x288675a0, 0xe7f0748, 0x28902ebd,
-    0xe86ff2a, 0x2899e64a, 0xe8ef8f4, 0x28a39c46,
-    0xe96f4a7, 0x28ad50b1, 0xe9ef241, 0x28b7038b,
-    0xea6f1c2, 0x28c0b4d2, 0xeaef32b, 0x28ca6488,
-    0xeb6f67a, 0x28d412ab, 0xebefbb0, 0x28ddbf3b,
-    0xec702cb, 0x28e76a37, 0xecf0bcd, 0x28f113a0,
-    0xed716b4, 0x28fabb75, 0xedf2380, 0x290461b5,
-    0xee73231, 0x290e0661, 0xeef42c7, 0x2917a977,
-    0xef75541, 0x29214af8, 0xeff699f, 0x292aeae3,
-    0xf077fe1, 0x29348937, 0xf0f9805, 0x293e25f5,
-    0xf17b20d, 0x2947c11c, 0xf1fcdf8, 0x29515aab,
-    0xf27ebc5, 0x295af2a3, 0xf300b74, 0x29648902,
-    0xf382d05, 0x296e1dc9, 0xf405077, 0x2977b0f7,
-    0xf4875ca, 0x2981428c, 0xf509cfe, 0x298ad287,
-    0xf58c613, 0x299460e8, 0xf60f108, 0x299dedaf,
-    0xf691ddd, 0x29a778db, 0xf714c91, 0x29b1026c,
-    0xf797d24, 0x29ba8a61, 0xf81af97, 0x29c410ba,
-    0xf89e3e8, 0x29cd9578, 0xf921a17, 0x29d71899,
-    0xf9a5225, 0x29e09a1c, 0xfa28c10, 0x29ea1a03,
-    0xfaac7d8, 0x29f3984c, 0xfb3057d, 0x29fd14f6,
-    0xfbb4500, 0x2a069003, 0xfc3865e, 0x2a100970,
-    0xfcbc999, 0x2a19813f, 0xfd40eaf, 0x2a22f76e,
-    0xfdc55a1, 0x2a2c6bfd, 0xfe49e6d, 0x2a35deeb,
-    0xfece915, 0x2a3f503a, 0xff53597, 0x2a48bfe7,
-    0xffd83f4, 0x2a522df3, 0x1005d42a, 0x2a5b9a5d,
-    0x100e2639, 0x2a650525, 0x10167a22, 0x2a6e6e4b,
-    0x101ecfe4, 0x2a77d5ce, 0x1027277e, 0x2a813bae,
-    0x102f80f1, 0x2a8a9fea, 0x1037dc3b, 0x2a940283,
-    0x1040395d, 0x2a9d6377, 0x10489856, 0x2aa6c2c6,
-    0x1050f926, 0x2ab02071, 0x10595bcd, 0x2ab97c77,
-    0x1061c04a, 0x2ac2d6d6, 0x106a269d, 0x2acc2f90,
-    0x10728ec6, 0x2ad586a3, 0x107af8c4, 0x2adedc10,
-    0x10836497, 0x2ae82fd5, 0x108bd23f, 0x2af181f3,
-    0x109441bb, 0x2afad269, 0x109cb30b, 0x2b042137,
-    0x10a5262f, 0x2b0d6e5c, 0x10ad9b26, 0x2b16b9d9,
-    0x10b611f1, 0x2b2003ac, 0x10be8a8d, 0x2b294bd5,
-    0x10c704fd, 0x2b329255, 0x10cf813e, 0x2b3bd72a,
-    0x10d7ff51, 0x2b451a55, 0x10e07f36, 0x2b4e5bd4,
-    0x10e900ec, 0x2b579ba8, 0x10f18472, 0x2b60d9d0,
-    0x10fa09c9, 0x2b6a164d, 0x110290f0, 0x2b73511c,
-    0x110b19e7, 0x2b7c8a3f, 0x1113a4ad, 0x2b85c1b5,
-    0x111c3142, 0x2b8ef77d, 0x1124bfa6, 0x2b982b97,
-    0x112d4fd9, 0x2ba15e03, 0x1135e1d9, 0x2baa8ec0,
-    0x113e75a8, 0x2bb3bdce, 0x11470b44, 0x2bbceb2d,
-    0x114fa2ad, 0x2bc616dd, 0x11583be2, 0x2bcf40dc,
-    0x1160d6e5, 0x2bd8692b, 0x116973b3, 0x2be18fc9,
-    0x1172124d, 0x2beab4b6, 0x117ab2b3, 0x2bf3d7f2,
-    0x118354e4, 0x2bfcf97c, 0x118bf8e0, 0x2c061953,
-    0x11949ea6, 0x2c0f3779, 0x119d4636, 0x2c1853eb,
-    0x11a5ef90, 0x2c216eaa, 0x11ae9ab4, 0x2c2a87b6,
-    0x11b747a0, 0x2c339f0e, 0x11bff656, 0x2c3cb4b1,
-    0x11c8a6d4, 0x2c45c8a0, 0x11d1591a, 0x2c4edada,
-    0x11da0d28, 0x2c57eb5e, 0x11e2c2fd, 0x2c60fa2d,
-    0x11eb7a9a, 0x2c6a0746, 0x11f433fd, 0x2c7312a9,
-    0x11fcef27, 0x2c7c1c55, 0x1205ac17, 0x2c85244a,
-    0x120e6acc, 0x2c8e2a87, 0x12172b48, 0x2c972f0d,
-    0x121fed88, 0x2ca031da, 0x1228b18d, 0x2ca932ef,
-    0x12317756, 0x2cb2324c, 0x123a3ee4, 0x2cbb2fef,
-    0x12430835, 0x2cc42bd9, 0x124bd34a, 0x2ccd2609,
-    0x1254a021, 0x2cd61e7f, 0x125d6ebc, 0x2cdf153a,
-    0x12663f19, 0x2ce80a3a, 0x126f1138, 0x2cf0fd80,
-    0x1277e518, 0x2cf9ef09, 0x1280babb, 0x2d02ded7,
-    0x1289921e, 0x2d0bcce8, 0x12926b41, 0x2d14b93d,
-    0x129b4626, 0x2d1da3d5, 0x12a422ca, 0x2d268cb0,
-    0x12ad012e, 0x2d2f73cd, 0x12b5e151, 0x2d38592c,
-    0x12bec333, 0x2d413ccd, 0x12c7a6d4, 0x2d4a1eaf,
-    0x12d08c33, 0x2d52fed2, 0x12d97350, 0x2d5bdd36,
-    0x12e25c2b, 0x2d64b9da, 0x12eb46c3, 0x2d6d94bf,
-    0x12f43318, 0x2d766de2, 0x12fd2129, 0x2d7f4545,
-    0x130610f7, 0x2d881ae8, 0x130f0280, 0x2d90eec8,
-    0x1317f5c6, 0x2d99c0e7, 0x1320eac6, 0x2da29144,
-    0x1329e181, 0x2dab5fdf, 0x1332d9f7, 0x2db42cb6,
-    0x133bd427, 0x2dbcf7cb, 0x1344d011, 0x2dc5c11c,
-    0x134dcdb4, 0x2dce88aa, 0x1356cd11, 0x2dd74e73,
-    0x135fce26, 0x2de01278, 0x1368d0f3, 0x2de8d4b8,
-    0x1371d579, 0x2df19534, 0x137adbb6, 0x2dfa53e9,
-    0x1383e3ab, 0x2e0310d9, 0x138ced57, 0x2e0bcc03,
-    0x1395f8ba, 0x2e148566, 0x139f05d3, 0x2e1d3d03,
-    0x13a814a2, 0x2e25f2d8, 0x13b12526, 0x2e2ea6e6,
-    0x13ba3760, 0x2e37592c, 0x13c34b4f, 0x2e4009aa,
-    0x13cc60f2, 0x2e48b860, 0x13d5784a, 0x2e51654c,
-    0x13de9156, 0x2e5a1070, 0x13e7ac15, 0x2e62b9ca,
-    0x13f0c887, 0x2e6b615a, 0x13f9e6ad, 0x2e740720,
-    0x14030684, 0x2e7cab1c, 0x140c280e, 0x2e854d4d,
-    0x14154b4a, 0x2e8dedb3, 0x141e7037, 0x2e968c4d,
-    0x142796d5, 0x2e9f291b, 0x1430bf24, 0x2ea7c41e,
-    0x1439e923, 0x2eb05d53, 0x144314d3, 0x2eb8f4bc,
-    0x144c4232, 0x2ec18a58, 0x14557140, 0x2eca1e27,
-    0x145ea1fd, 0x2ed2b027, 0x1467d469, 0x2edb405a,
-    0x14710883, 0x2ee3cebe, 0x147a3e4b, 0x2eec5b53,
-    0x148375c1, 0x2ef4e619, 0x148caee4, 0x2efd6f10,
-    0x1495e9b3, 0x2f05f637, 0x149f2630, 0x2f0e7b8e,
-    0x14a86458, 0x2f16ff14, 0x14b1a42c, 0x2f1f80ca,
-    0x14bae5ab, 0x2f2800af, 0x14c428d6, 0x2f307ec2,
-    0x14cd6dab, 0x2f38fb03, 0x14d6b42b, 0x2f417573,
-    0x14dffc54, 0x2f49ee0f, 0x14e94627, 0x2f5264da,
-    0x14f291a4, 0x2f5ad9d1, 0x14fbdec9, 0x2f634cf5,
-    0x15052d97, 0x2f6bbe45, 0x150e7e0d, 0x2f742dc1,
-    0x1517d02b, 0x2f7c9b69, 0x152123f0, 0x2f85073c,
-    0x152a795d, 0x2f8d713a, 0x1533d070, 0x2f95d963,
-    0x153d292a, 0x2f9e3fb6, 0x15468389, 0x2fa6a433,
-    0x154fdf8f, 0x2faf06da, 0x15593d3a, 0x2fb767aa,
-    0x15629c89, 0x2fbfc6a3, 0x156bfd7d, 0x2fc823c5,
-    0x15756016, 0x2fd07f0f, 0x157ec452, 0x2fd8d882,
-    0x15882a32, 0x2fe1301c, 0x159191b5, 0x2fe985de,
-    0x159afadb, 0x2ff1d9c7, 0x15a465a3, 0x2ffa2bd6,
-    0x15add20d, 0x30027c0c, 0x15b74019, 0x300aca69,
-    0x15c0afc6, 0x301316eb, 0x15ca2115, 0x301b6193,
-    0x15d39403, 0x3023aa5f, 0x15dd0892, 0x302bf151,
-    0x15e67ec1, 0x30343667, 0x15eff690, 0x303c79a2,
-    0x15f96ffd, 0x3044bb00, 0x1602eb0a, 0x304cfa83,
-    0x160c67b4, 0x30553828, 0x1615e5fd, 0x305d73f0,
-    0x161f65e4, 0x3065addb, 0x1628e767, 0x306de5e9,
-    0x16326a88, 0x30761c18, 0x163bef46, 0x307e5069,
-    0x1645759f, 0x308682dc, 0x164efd94, 0x308eb36f,
-    0x16588725, 0x3096e223, 0x16621251, 0x309f0ef8,
-    0x166b9f18, 0x30a739ed, 0x16752d79, 0x30af6302,
-    0x167ebd74, 0x30b78a36, 0x16884f09, 0x30bfaf89,
-    0x1691e237, 0x30c7d2fb, 0x169b76fe, 0x30cff48c,
-    0x16a50d5d, 0x30d8143b, 0x16aea555, 0x30e03208,
-    0x16b83ee4, 0x30e84df3, 0x16c1da0b, 0x30f067fb,
-    0x16cb76c9, 0x30f8801f, 0x16d5151d, 0x31009661,
-    0x16deb508, 0x3108aabf, 0x16e85689, 0x3110bd39,
-    0x16f1f99f, 0x3118cdcf, 0x16fb9e4b, 0x3120dc80,
-    0x1705448b, 0x3128e94c, 0x170eec60, 0x3130f433,
-    0x171895c9, 0x3138fd35, 0x172240c5, 0x31410450,
-    0x172bed55, 0x31490986, 0x17359b78, 0x31510cd5,
-    0x173f4b2e, 0x31590e3e, 0x1748fc75, 0x31610dbf,
-    0x1752af4f, 0x31690b59, 0x175c63ba, 0x3171070c,
-    0x176619b6, 0x317900d6, 0x176fd143, 0x3180f8b8,
-    0x17798a60, 0x3188eeb2, 0x1783450d, 0x3190e2c3,
-    0x178d014a, 0x3198d4ea, 0x1796bf16, 0x31a0c528,
-    0x17a07e70, 0x31a8b37c, 0x17aa3f5a, 0x31b09fe7,
-    0x17b401d1, 0x31b88a66, 0x17bdc5d6, 0x31c072fb,
-    0x17c78b68, 0x31c859a5, 0x17d15288, 0x31d03e64,
-    0x17db1b34, 0x31d82137, 0x17e4e56c, 0x31e0021e,
-    0x17eeb130, 0x31e7e118, 0x17f87e7f, 0x31efbe27,
-    0x18024d59, 0x31f79948, 0x180c1dbf, 0x31ff727c,
-    0x1815efae, 0x320749c3, 0x181fc328, 0x320f1f1c,
-    0x1829982b, 0x3216f287, 0x18336eb7, 0x321ec403,
-    0x183d46cc, 0x32269391, 0x18472069, 0x322e6130,
-    0x1850fb8e, 0x32362ce0, 0x185ad83c, 0x323df6a0,
-    0x1864b670, 0x3245be70, 0x186e962b, 0x324d8450,
-    0x1878776d, 0x32554840, 0x18825a35, 0x325d0a3e,
-    0x188c3e83, 0x3264ca4c, 0x18962456, 0x326c8868,
-    0x18a00bae, 0x32744493, 0x18a9f48a, 0x327bfecc,
-    0x18b3deeb, 0x3283b712, 0x18bdcad0, 0x328b6d66,
-    0x18c7b838, 0x329321c7, 0x18d1a724, 0x329ad435,
-    0x18db9792, 0x32a284b0, 0x18e58982, 0x32aa3336,
-    0x18ef7cf4, 0x32b1dfc9, 0x18f971e8, 0x32b98a67,
-    0x1903685d, 0x32c13311, 0x190d6053, 0x32c8d9c6,
-    0x191759c9, 0x32d07e85, 0x192154bf, 0x32d82150,
-    0x192b5135, 0x32dfc224, 0x19354f2a, 0x32e76102,
-    0x193f4e9e, 0x32eefdea, 0x19494f90, 0x32f698db,
-    0x19535201, 0x32fe31d5, 0x195d55ef, 0x3305c8d7,
-    0x19675b5a, 0x330d5de3, 0x19716243, 0x3314f0f6,
-    0x197b6aa8, 0x331c8211, 0x19857489, 0x33241134,
-    0x198f7fe6, 0x332b9e5e, 0x19998cbe, 0x3333298f,
-    0x19a39b11, 0x333ab2c6, 0x19adaadf, 0x33423a04,
-    0x19b7bc27, 0x3349bf48, 0x19c1cee9, 0x33514292,
-    0x19cbe325, 0x3358c3e2, 0x19d5f8d9, 0x33604336,
-    0x19e01006, 0x3367c090, 0x19ea28ac, 0x336f3bee,
-    0x19f442c9, 0x3376b551, 0x19fe5e5e, 0x337e2cb7,
-    0x1a087b69, 0x3385a222, 0x1a1299ec, 0x338d1590,
-    0x1a1cb9e5, 0x33948701, 0x1a26db54, 0x339bf675,
-    0x1a30fe38, 0x33a363ec, 0x1a3b2292, 0x33aacf65,
-    0x1a454860, 0x33b238e0, 0x1a4f6fa3, 0x33b9a05d,
-    0x1a599859, 0x33c105db, 0x1a63c284, 0x33c8695b,
-    0x1a6dee21, 0x33cfcadc, 0x1a781b31, 0x33d72a5d,
-    0x1a8249b4, 0x33de87de, 0x1a8c79a9, 0x33e5e360,
-    0x1a96ab0f, 0x33ed3ce1, 0x1aa0dde7, 0x33f49462,
-    0x1aab122f, 0x33fbe9e2, 0x1ab547e8, 0x34033d61,
-    0x1abf7f11, 0x340a8edf, 0x1ac9b7a9, 0x3411de5b,
-    0x1ad3f1b1, 0x34192bd5, 0x1ade2d28, 0x3420774d,
-    0x1ae86a0d, 0x3427c0c3, 0x1af2a860, 0x342f0836,
-    0x1afce821, 0x34364da6, 0x1b072950, 0x343d9112,
-    0x1b116beb, 0x3444d27b, 0x1b1baff2, 0x344c11e0,
-    0x1b25f566, 0x34534f41, 0x1b303c46, 0x345a8a9d,
-    0x1b3a8491, 0x3461c3f5, 0x1b44ce46, 0x3468fb47,
-    0x1b4f1967, 0x34703095, 0x1b5965f1, 0x347763dd,
-    0x1b63b3e5, 0x347e951f, 0x1b6e0342, 0x3485c45b,
-    0x1b785409, 0x348cf190, 0x1b82a638, 0x34941cbf,
-    0x1b8cf9cf, 0x349b45e7, 0x1b974ece, 0x34a26d08,
-    0x1ba1a534, 0x34a99221, 0x1babfd01, 0x34b0b533,
-    0x1bb65634, 0x34b7d63c, 0x1bc0b0ce, 0x34bef53d,
-    0x1bcb0cce, 0x34c61236, 0x1bd56a32, 0x34cd2d26,
-    0x1bdfc8fc, 0x34d4460c, 0x1bea292b, 0x34db5cea,
-    0x1bf48abd, 0x34e271bd, 0x1bfeedb3, 0x34e98487,
-    0x1c09520d, 0x34f09546, 0x1c13b7c9, 0x34f7a3fb,
-    0x1c1e1ee9, 0x34feb0a5, 0x1c28876a, 0x3505bb44,
-    0x1c32f14d, 0x350cc3d8, 0x1c3d5c91, 0x3513ca60,
-    0x1c47c936, 0x351acedd, 0x1c52373c, 0x3521d14d,
-    0x1c5ca6a2, 0x3528d1b1, 0x1c671768, 0x352fd008,
-    0x1c71898d, 0x3536cc52, 0x1c7bfd11, 0x353dc68f,
-    0x1c8671f3, 0x3544bebf, 0x1c90e834, 0x354bb4e1,
-    0x1c9b5fd2, 0x3552a8f4, 0x1ca5d8cd, 0x35599afa,
-    0x1cb05326, 0x35608af1, 0x1cbacedb, 0x356778d9,
-    0x1cc54bec, 0x356e64b2, 0x1ccfca59, 0x35754e7c,
-    0x1cda4a21, 0x357c3636, 0x1ce4cb44, 0x35831be0,
-    0x1cef4dc2, 0x3589ff7a, 0x1cf9d199, 0x3590e104,
-    0x1d0456ca, 0x3597c07d, 0x1d0edd55, 0x359e9de5,
-    0x1d196538, 0x35a5793c, 0x1d23ee74, 0x35ac5282,
-    0x1d2e7908, 0x35b329b5, 0x1d3904f4, 0x35b9fed7,
-    0x1d439236, 0x35c0d1e7, 0x1d4e20d0, 0x35c7a2e3,
-    0x1d58b0c0, 0x35ce71ce, 0x1d634206, 0x35d53ea5,
-    0x1d6dd4a2, 0x35dc0968, 0x1d786892, 0x35e2d219,
-    0x1d82fdd8, 0x35e998b5, 0x1d8d9472, 0x35f05d3d,
-    0x1d982c60, 0x35f71fb1, 0x1da2c5a2, 0x35fde011,
-    0x1dad6036, 0x36049e5b, 0x1db7fc1e, 0x360b5a90,
-    0x1dc29958, 0x361214b0, 0x1dcd37e4, 0x3618ccba,
-    0x1dd7d7c1, 0x361f82af, 0x1de278ef, 0x3626368d,
-    0x1ded1b6e, 0x362ce855, 0x1df7bf3e, 0x36339806,
-    0x1e02645d, 0x363a45a0, 0x1e0d0acc, 0x3640f123,
-    0x1e17b28a, 0x36479a8e, 0x1e225b96, 0x364e41e2,
-    0x1e2d05f1, 0x3654e71d, 0x1e37b199, 0x365b8a41,
-    0x1e425e8f, 0x36622b4c, 0x1e4d0cd2, 0x3668ca3e,
-    0x1e57bc62, 0x366f6717, 0x1e626d3e, 0x367601d7,
-    0x1e6d1f65, 0x367c9a7e, 0x1e77d2d8, 0x3683310b,
-    0x1e828796, 0x3689c57d, 0x1e8d3d9e, 0x369057d6,
-    0x1e97f4f1, 0x3696e814, 0x1ea2ad8d, 0x369d7637,
-    0x1ead6773, 0x36a4023f, 0x1eb822a1, 0x36aa8c2c,
-    0x1ec2df18, 0x36b113fd, 0x1ecd9cd7, 0x36b799b3,
-    0x1ed85bdd, 0x36be1d4c, 0x1ee31c2b, 0x36c49ec9,
-    0x1eedddc0, 0x36cb1e2a, 0x1ef8a09b, 0x36d19b6e,
-    0x1f0364bc, 0x36d81695, 0x1f0e2a22, 0x36de8f9e,
-    0x1f18f0ce, 0x36e5068a, 0x1f23b8be, 0x36eb7b58,
-    0x1f2e81f3, 0x36f1ee09, 0x1f394c6b, 0x36f85e9a,
-    0x1f441828, 0x36fecd0e, 0x1f4ee527, 0x37053962,
-    0x1f59b369, 0x370ba398, 0x1f6482ed, 0x37120bae,
-    0x1f6f53b3, 0x371871a5, 0x1f7a25ba, 0x371ed57c,
-    0x1f84f902, 0x37253733, 0x1f8fcd8b, 0x372b96ca,
-    0x1f9aa354, 0x3731f440, 0x1fa57a5d, 0x37384f95,
-    0x1fb052a5, 0x373ea8ca, 0x1fbb2c2c, 0x3744ffdd,
-    0x1fc606f1, 0x374b54ce, 0x1fd0e2f5, 0x3751a79e,
-    0x1fdbc036, 0x3757f84c, 0x1fe69eb4, 0x375e46d8,
-    0x1ff17e70, 0x37649341, 0x1ffc5f67, 0x376add88,
-    0x2007419b, 0x377125ac, 0x2012250a, 0x37776bac,
-    0x201d09b4, 0x377daf89, 0x2027ef99, 0x3783f143,
-    0x2032d6b8, 0x378a30d8, 0x203dbf11, 0x37906e49,
-    0x2048a8a4, 0x3796a996, 0x2053936f, 0x379ce2be,
-    0x205e7f74, 0x37a319c2, 0x20696cb0, 0x37a94ea0,
-    0x20745b24, 0x37af8159, 0x207f4acf, 0x37b5b1ec,
-    0x208a3bb2, 0x37bbe05a, 0x20952dcb, 0x37c20ca1,
-    0x20a0211a, 0x37c836c2, 0x20ab159e, 0x37ce5ebd,
-    0x20b60b58, 0x37d48490, 0x20c10247, 0x37daa83d,
-    0x20cbfa6a, 0x37e0c9c3, 0x20d6f3c1, 0x37e6e921,
-    0x20e1ee4b, 0x37ed0657, 0x20ecea09, 0x37f32165,
-    0x20f7e6f9, 0x37f93a4b, 0x2102e51c, 0x37ff5109,
-    0x210de470, 0x3805659e, 0x2118e4f6, 0x380b780a,
-    0x2123e6ad, 0x3811884d, 0x212ee995, 0x38179666,
-    0x2139edac, 0x381da256, 0x2144f2f3, 0x3823ac1d,
-    0x214ff96a, 0x3829b3b9, 0x215b0110, 0x382fb92a,
-    0x216609e3, 0x3835bc71, 0x217113e5, 0x383bbd8e,
-    0x217c1f15, 0x3841bc7f, 0x21872b72, 0x3847b946,
-    0x219238fb, 0x384db3e0, 0x219d47b1, 0x3853ac4f,
-    0x21a85793, 0x3859a292, 0x21b368a0, 0x385f96a9,
-    0x21be7ad8, 0x38658894, 0x21c98e3b, 0x386b7852,
-    0x21d4a2c8, 0x387165e3, 0x21dfb87f, 0x38775147,
-    0x21eacf5f, 0x387d3a7e, 0x21f5e768, 0x38832187,
-    0x22010099, 0x38890663, 0x220c1af3, 0x388ee910,
-    0x22173674, 0x3894c98f, 0x2222531c, 0x389aa7e0,
-    0x222d70eb, 0x38a08402, 0x22388fe1, 0x38a65df6,
-    0x2243affc, 0x38ac35ba, 0x224ed13d, 0x38b20b4f,
-    0x2259f3a3, 0x38b7deb4, 0x2265172e, 0x38bdafea,
-    0x22703bdc, 0x38c37eef, 0x227b61af, 0x38c94bc4,
-    0x228688a4, 0x38cf1669, 0x2291b0bd, 0x38d4dedd,
-    0x229cd9f8, 0x38daa520, 0x22a80456, 0x38e06932,
-    0x22b32fd4, 0x38e62b13, 0x22be5c74, 0x38ebeac2,
-    0x22c98a35, 0x38f1a840, 0x22d4b916, 0x38f7638b,
-    0x22dfe917, 0x38fd1ca4, 0x22eb1a37, 0x3902d38b,
-    0x22f64c77, 0x3908883f, 0x23017fd5, 0x390e3ac0,
-    0x230cb451, 0x3913eb0e, 0x2317e9eb, 0x39199929,
-    0x232320a2, 0x391f4510, 0x232e5876, 0x3924eec3,
-    0x23399167, 0x392a9642, 0x2344cb73, 0x39303b8e,
-    0x2350069b, 0x3935dea4, 0x235b42df, 0x393b7f86,
-    0x2366803c, 0x39411e33, 0x2371beb5, 0x3946baac,
-    0x237cfe47, 0x394c54ee, 0x23883ef2, 0x3951ecfc,
-    0x239380b6, 0x395782d3, 0x239ec393, 0x395d1675,
-    0x23aa0788, 0x3962a7e0, 0x23b54c95, 0x39683715,
-    0x23c092b9, 0x396dc414, 0x23cbd9f4, 0x39734edc,
-    0x23d72245, 0x3978d76c, 0x23e26bac, 0x397e5dc6,
-    0x23edb628, 0x3983e1e8, 0x23f901ba, 0x398963d2,
-    0x24044e60, 0x398ee385, 0x240f9c1a, 0x399460ff,
-    0x241aeae8, 0x3999dc42, 0x24263ac9, 0x399f554b,
-    0x24318bbe, 0x39a4cc1c, 0x243cddc4, 0x39aa40b4,
-    0x244830dd, 0x39afb313, 0x24538507, 0x39b52339,
-    0x245eda43, 0x39ba9125, 0x246a308f, 0x39bffcd7,
-    0x247587eb, 0x39c5664f, 0x2480e057, 0x39cacd8d,
-    0x248c39d3, 0x39d03291, 0x2497945d, 0x39d5955a,
-    0x24a2eff6, 0x39daf5e8, 0x24ae4c9d, 0x39e0543c,
-    0x24b9aa52, 0x39e5b054, 0x24c50914, 0x39eb0a31,
-    0x24d068e2, 0x39f061d2, 0x24dbc9bd, 0x39f5b737,
-    0x24e72ba4, 0x39fb0a60, 0x24f28e96, 0x3a005b4d,
-    0x24fdf294, 0x3a05a9fd, 0x2509579b, 0x3a0af671,
-    0x2514bdad, 0x3a1040a8, 0x252024c9, 0x3a1588a2,
-    0x252b8cee, 0x3a1ace5f, 0x2536f61b, 0x3a2011de,
-    0x25426051, 0x3a25531f, 0x254dcb8f, 0x3a2a9223,
-    0x255937d5, 0x3a2fcee8, 0x2564a521, 0x3a350970,
-    0x25701374, 0x3a3a41b9, 0x257b82cd, 0x3a3f77c3,
-    0x2586f32c, 0x3a44ab8e, 0x25926490, 0x3a49dd1a,
-    0x259dd6f9, 0x3a4f0c67, 0x25a94a67, 0x3a543974,
-    0x25b4bed8, 0x3a596442, 0x25c0344d, 0x3a5e8cd0,
-    0x25cbaac5, 0x3a63b31d, 0x25d72240, 0x3a68d72b,
-    0x25e29abc, 0x3a6df8f8, 0x25ee143b, 0x3a731884,
-    0x25f98ebb, 0x3a7835cf, 0x26050a3b, 0x3a7d50da,
-    0x261086bc, 0x3a8269a3, 0x261c043d, 0x3a87802a,
-    0x262782be, 0x3a8c9470, 0x2633023e, 0x3a91a674,
-    0x263e82bc, 0x3a96b636, 0x264a0438, 0x3a9bc3b6,
-    0x265586b3, 0x3aa0cef3, 0x26610a2a, 0x3aa5d7ee,
-    0x266c8e9f, 0x3aaadea6, 0x26781410, 0x3aafe31b,
-    0x26839a7c, 0x3ab4e54c, 0x268f21e5, 0x3ab9e53a,
-    0x269aaa48, 0x3abee2e5, 0x26a633a6, 0x3ac3de4c,
-    0x26b1bdff, 0x3ac8d76f, 0x26bd4951, 0x3acdce4d,
-    0x26c8d59c, 0x3ad2c2e8, 0x26d462e1, 0x3ad7b53d,
-    0x26dff11d, 0x3adca54e, 0x26eb8052, 0x3ae1931a,
-    0x26f7107e, 0x3ae67ea1, 0x2702a1a1, 0x3aeb67e3,
-    0x270e33bb, 0x3af04edf, 0x2719c6cb, 0x3af53395,
-    0x27255ad1, 0x3afa1605, 0x2730efcc, 0x3afef630,
-    0x273c85bc, 0x3b03d414, 0x27481ca1, 0x3b08afb2,
-    0x2753b479, 0x3b0d8909, 0x275f4d45, 0x3b126019,
-    0x276ae704, 0x3b1734e2, 0x277681b6, 0x3b1c0764,
-    0x27821d59, 0x3b20d79e, 0x278db9ef, 0x3b25a591,
-    0x27995776, 0x3b2a713d, 0x27a4f5ed, 0x3b2f3aa0,
-    0x27b09555, 0x3b3401bb, 0x27bc35ad, 0x3b38c68e,
-    0x27c7d6f4, 0x3b3d8918, 0x27d3792b, 0x3b42495a,
-    0x27df1c50, 0x3b470753, 0x27eac063, 0x3b4bc303,
-    0x27f66564, 0x3b507c69, 0x28020b52, 0x3b553386,
-    0x280db22d, 0x3b59e85a, 0x281959f4, 0x3b5e9ae4,
-    0x282502a7, 0x3b634b23, 0x2830ac45, 0x3b67f919,
-    0x283c56cf, 0x3b6ca4c4, 0x28480243, 0x3b714e25,
-    0x2853aea1, 0x3b75f53c, 0x285f5be9, 0x3b7a9a07,
-    0x286b0a1a, 0x3b7f3c87, 0x2876b934, 0x3b83dcbc,
-    0x28826936, 0x3b887aa6, 0x288e1a20, 0x3b8d1644,
-    0x2899cbf1, 0x3b91af97, 0x28a57ea9, 0x3b96469d,
-    0x28b13248, 0x3b9adb57, 0x28bce6cd, 0x3b9f6dc5,
-    0x28c89c37, 0x3ba3fde7, 0x28d45286, 0x3ba88bbc,
-    0x28e009ba, 0x3bad1744, 0x28ebc1d3, 0x3bb1a080,
-    0x28f77acf, 0x3bb6276e, 0x290334af, 0x3bbaac0e,
-    0x290eef71, 0x3bbf2e62, 0x291aab16, 0x3bc3ae67,
-    0x2926679c, 0x3bc82c1f, 0x29322505, 0x3bcca789,
-    0x293de34e, 0x3bd120a4, 0x2949a278, 0x3bd59771,
-    0x29556282, 0x3bda0bf0, 0x2961236c, 0x3bde7e20,
-    0x296ce535, 0x3be2ee01, 0x2978a7dd, 0x3be75b93,
-    0x29846b63, 0x3bebc6d5, 0x29902fc7, 0x3bf02fc9,
-    0x299bf509, 0x3bf4966c, 0x29a7bb28, 0x3bf8fac0,
-    0x29b38223, 0x3bfd5cc4, 0x29bf49fa, 0x3c01bc78,
-    0x29cb12ad, 0x3c0619dc, 0x29d6dc3b, 0x3c0a74f0,
-    0x29e2a6a3, 0x3c0ecdb2, 0x29ee71e6, 0x3c132424,
-    0x29fa3e03, 0x3c177845, 0x2a060af9, 0x3c1bca16,
-    0x2a11d8c8, 0x3c201994, 0x2a1da770, 0x3c2466c2,
-    0x2a2976ef, 0x3c28b19e, 0x2a354746, 0x3c2cfa28,
-    0x2a411874, 0x3c314060, 0x2a4cea79, 0x3c358446,
-    0x2a58bd54, 0x3c39c5da, 0x2a649105, 0x3c3e051b,
-    0x2a70658a, 0x3c42420a, 0x2a7c3ae5, 0x3c467ca6,
-    0x2a881114, 0x3c4ab4ef, 0x2a93e817, 0x3c4eeae5,
-    0x2a9fbfed, 0x3c531e88, 0x2aab9896, 0x3c574fd8,
-    0x2ab77212, 0x3c5b7ed4, 0x2ac34c60, 0x3c5fab7c,
-    0x2acf277f, 0x3c63d5d1, 0x2adb0370, 0x3c67fdd1,
-    0x2ae6e031, 0x3c6c237e, 0x2af2bdc3, 0x3c7046d6,
-    0x2afe9c24, 0x3c7467d9, 0x2b0a7b54, 0x3c788688,
-    0x2b165b54, 0x3c7ca2e2, 0x2b223c22, 0x3c80bce7,
-    0x2b2e1dbe, 0x3c84d496, 0x2b3a0027, 0x3c88e9f1,
-    0x2b45e35d, 0x3c8cfcf6, 0x2b51c760, 0x3c910da5,
-    0x2b5dac2f, 0x3c951bff, 0x2b6991ca, 0x3c992803,
-    0x2b75782f, 0x3c9d31b0, 0x2b815f60, 0x3ca13908,
-    0x2b8d475b, 0x3ca53e09, 0x2b99301f, 0x3ca940b3,
-    0x2ba519ad, 0x3cad4107, 0x2bb10404, 0x3cb13f04,
-    0x2bbcef23, 0x3cb53aaa, 0x2bc8db0b, 0x3cb933f9,
-    0x2bd4c7ba, 0x3cbd2af0, 0x2be0b52f, 0x3cc11f90,
-    0x2beca36c, 0x3cc511d9, 0x2bf8926f, 0x3cc901c9,
-    0x2c048237, 0x3cccef62, 0x2c1072c4, 0x3cd0daa2,
-    0x2c1c6417, 0x3cd4c38b, 0x2c28562d, 0x3cd8aa1b,
-    0x2c344908, 0x3cdc8e52, 0x2c403ca5, 0x3ce07031,
-    0x2c4c3106, 0x3ce44fb7, 0x2c582629, 0x3ce82ce4,
-    0x2c641c0e, 0x3cec07b8, 0x2c7012b5, 0x3cefe032,
-    0x2c7c0a1d, 0x3cf3b653, 0x2c880245, 0x3cf78a1b,
-    0x2c93fb2e, 0x3cfb5b89, 0x2c9ff4d6, 0x3cff2a9d,
-    0x2cabef3d, 0x3d02f757, 0x2cb7ea63, 0x3d06c1b6,
-    0x2cc3e648, 0x3d0a89bc, 0x2ccfe2ea, 0x3d0e4f67,
-    0x2cdbe04a, 0x3d1212b7, 0x2ce7de66, 0x3d15d3ad,
-    0x2cf3dd3f, 0x3d199248, 0x2cffdcd4, 0x3d1d4e88,
-    0x2d0bdd25, 0x3d21086c, 0x2d17de31, 0x3d24bff6,
-    0x2d23dff7, 0x3d287523, 0x2d2fe277, 0x3d2c27f6,
-    0x2d3be5b1, 0x3d2fd86c, 0x2d47e9a5, 0x3d338687,
-    0x2d53ee51, 0x3d373245, 0x2d5ff3b5, 0x3d3adba7,
-    0x2d6bf9d1, 0x3d3e82ae, 0x2d7800a5, 0x3d422757,
-    0x2d84082f, 0x3d45c9a4, 0x2d901070, 0x3d496994,
-    0x2d9c1967, 0x3d4d0728, 0x2da82313, 0x3d50a25e,
-    0x2db42d74, 0x3d543b37, 0x2dc0388a, 0x3d57d1b3,
-    0x2dcc4454, 0x3d5b65d2, 0x2dd850d2, 0x3d5ef793,
-    0x2de45e03, 0x3d6286f6, 0x2df06be6, 0x3d6613fb,
-    0x2dfc7a7c, 0x3d699ea3, 0x2e0889c4, 0x3d6d26ec,
-    0x2e1499bd, 0x3d70acd7, 0x2e20aa67, 0x3d743064,
-    0x2e2cbbc1, 0x3d77b192, 0x2e38cdcb, 0x3d7b3061,
-    0x2e44e084, 0x3d7eacd2, 0x2e50f3ed, 0x3d8226e4,
-    0x2e5d0804, 0x3d859e96, 0x2e691cc9, 0x3d8913ea,
-    0x2e75323c, 0x3d8c86de, 0x2e81485c, 0x3d8ff772,
-    0x2e8d5f29, 0x3d9365a8, 0x2e9976a1, 0x3d96d17d,
-    0x2ea58ec6, 0x3d9a3af2, 0x2eb1a796, 0x3d9da208,
-    0x2ebdc110, 0x3da106bd, 0x2ec9db35, 0x3da46912,
-    0x2ed5f604, 0x3da7c907, 0x2ee2117c, 0x3dab269b,
-    0x2eee2d9d, 0x3dae81cf, 0x2efa4a67, 0x3db1daa2,
-    0x2f0667d9, 0x3db53113, 0x2f1285f2, 0x3db88524,
-    0x2f1ea4b2, 0x3dbbd6d4, 0x2f2ac419, 0x3dbf2622,
-    0x2f36e426, 0x3dc2730f, 0x2f4304d8, 0x3dc5bd9b,
-    0x2f4f2630, 0x3dc905c5, 0x2f5b482d, 0x3dcc4b8d,
-    0x2f676ace, 0x3dcf8ef3, 0x2f738e12, 0x3dd2cff7,
-    0x2f7fb1fa, 0x3dd60e99, 0x2f8bd685, 0x3dd94ad8,
-    0x2f97fbb2, 0x3ddc84b5, 0x2fa42181, 0x3ddfbc30,
-    0x2fb047f2, 0x3de2f148, 0x2fbc6f03, 0x3de623fd,
-    0x2fc896b5, 0x3de9544f, 0x2fd4bf08, 0x3dec823e,
-    0x2fe0e7f9, 0x3defadca, 0x2fed118a, 0x3df2d6f3,
-    0x2ff93bba, 0x3df5fdb8, 0x30056687, 0x3df9221a,
-    0x301191f3, 0x3dfc4418, 0x301dbdfb, 0x3dff63b2,
-    0x3029eaa1, 0x3e0280e9, 0x303617e2, 0x3e059bbb,
-    0x304245c0, 0x3e08b42a, 0x304e7438, 0x3e0bca34,
-    0x305aa34c, 0x3e0eddd9, 0x3066d2fa, 0x3e11ef1b,
-    0x30730342, 0x3e14fdf7, 0x307f3424, 0x3e180a6f,
-    0x308b659f, 0x3e1b1482, 0x309797b2, 0x3e1e1c30,
-    0x30a3ca5d, 0x3e212179, 0x30affda0, 0x3e24245d,
-    0x30bc317a, 0x3e2724db, 0x30c865ea, 0x3e2a22f4,
-    0x30d49af1, 0x3e2d1ea8, 0x30e0d08d, 0x3e3017f6,
-    0x30ed06bf, 0x3e330ede, 0x30f93d86, 0x3e360360,
-    0x310574e0, 0x3e38f57c, 0x3111accf, 0x3e3be532,
-    0x311de551, 0x3e3ed282, 0x312a1e66, 0x3e41bd6c,
-    0x3136580d, 0x3e44a5ef, 0x31429247, 0x3e478c0b,
-    0x314ecd11, 0x3e4a6fc1, 0x315b086d, 0x3e4d5110,
-    0x31674459, 0x3e502ff9, 0x317380d6, 0x3e530c7a,
-    0x317fbde2, 0x3e55e694, 0x318bfb7d, 0x3e58be47,
-    0x319839a6, 0x3e5b9392, 0x31a4785e, 0x3e5e6676,
-    0x31b0b7a4, 0x3e6136f3, 0x31bcf777, 0x3e640507,
-    0x31c937d6, 0x3e66d0b4, 0x31d578c2, 0x3e6999fa,
-    0x31e1ba3a, 0x3e6c60d7, 0x31edfc3d, 0x3e6f254c,
-    0x31fa3ecb, 0x3e71e759, 0x320681e3, 0x3e74a6fd,
-    0x3212c585, 0x3e77643a, 0x321f09b1, 0x3e7a1f0d,
-    0x322b4e66, 0x3e7cd778, 0x323793a3, 0x3e7f8d7b,
-    0x3243d968, 0x3e824114, 0x32501fb5, 0x3e84f245,
-    0x325c6688, 0x3e87a10c, 0x3268ade3, 0x3e8a4d6a,
-    0x3274f5c3, 0x3e8cf75f, 0x32813e2a, 0x3e8f9eeb,
-    0x328d8715, 0x3e92440d, 0x3299d085, 0x3e94e6c6,
-    0x32a61a7a, 0x3e978715, 0x32b264f2, 0x3e9a24fb,
-    0x32beafed, 0x3e9cc076, 0x32cafb6b, 0x3e9f5988,
-    0x32d7476c, 0x3ea1f02f, 0x32e393ef, 0x3ea4846c,
-    0x32efe0f2, 0x3ea7163f, 0x32fc2e77, 0x3ea9a5a8,
-    0x33087c7d, 0x3eac32a6, 0x3314cb02, 0x3eaebd3a,
-    0x33211a07, 0x3eb14563, 0x332d698a, 0x3eb3cb21,
-    0x3339b98d, 0x3eb64e75, 0x33460a0d, 0x3eb8cf5d,
-    0x33525b0b, 0x3ebb4ddb, 0x335eac86, 0x3ebdc9ed,
-    0x336afe7e, 0x3ec04394, 0x337750f2, 0x3ec2bad0,
-    0x3383a3e2, 0x3ec52fa0, 0x338ff74d, 0x3ec7a205,
-    0x339c4b32, 0x3eca11fe, 0x33a89f92, 0x3ecc7f8b,
-    0x33b4f46c, 0x3eceeaad, 0x33c149bf, 0x3ed15363,
-    0x33cd9f8b, 0x3ed3b9ad, 0x33d9f5cf, 0x3ed61d8a,
-    0x33e64c8c, 0x3ed87efc, 0x33f2a3bf, 0x3edade01,
-    0x33fefb6a, 0x3edd3a9a, 0x340b538b, 0x3edf94c7,
-    0x3417ac22, 0x3ee1ec87, 0x3424052f, 0x3ee441da,
-    0x34305eb0, 0x3ee694c1, 0x343cb8a7, 0x3ee8e53a,
-    0x34491311, 0x3eeb3347, 0x34556def, 0x3eed7ee7,
-    0x3461c940, 0x3eefc81a, 0x346e2504, 0x3ef20ee0,
-    0x347a8139, 0x3ef45338, 0x3486dde1, 0x3ef69523,
-    0x34933afa, 0x3ef8d4a1, 0x349f9884, 0x3efb11b1,
-    0x34abf67e, 0x3efd4c54, 0x34b854e7, 0x3eff8489,
-    0x34c4b3c0, 0x3f01ba50, 0x34d11308, 0x3f03eda9,
-    0x34dd72be, 0x3f061e95, 0x34e9d2e3, 0x3f084d12,
-    0x34f63374, 0x3f0a7921, 0x35029473, 0x3f0ca2c2,
-    0x350ef5de, 0x3f0ec9f5, 0x351b57b5, 0x3f10eeb9,
-    0x3527b9f7, 0x3f13110f, 0x35341ca5, 0x3f1530f7,
-    0x35407fbd, 0x3f174e70, 0x354ce33f, 0x3f19697a,
-    0x3559472b, 0x3f1b8215, 0x3565ab80, 0x3f1d9842,
-    0x3572103d, 0x3f1fabff, 0x357e7563, 0x3f21bd4e,
-    0x358adaf0, 0x3f23cc2e, 0x359740e5, 0x3f25d89e,
-    0x35a3a740, 0x3f27e29f, 0x35b00e02, 0x3f29ea31,
-    0x35bc7529, 0x3f2bef53, 0x35c8dcb6, 0x3f2df206,
-    0x35d544a7, 0x3f2ff24a, 0x35e1acfd, 0x3f31f01d,
-    0x35ee15b7, 0x3f33eb81, 0x35fa7ed4, 0x3f35e476,
-    0x3606e854, 0x3f37dafa, 0x36135237, 0x3f39cf0e,
-    0x361fbc7b, 0x3f3bc0b3, 0x362c2721, 0x3f3dafe7,
-    0x36389228, 0x3f3f9cab, 0x3644fd8f, 0x3f4186ff,
-    0x36516956, 0x3f436ee3, 0x365dd57d, 0x3f455456,
-    0x366a4203, 0x3f473759, 0x3676aee8, 0x3f4917eb,
-    0x36831c2b, 0x3f4af60d, 0x368f89cb, 0x3f4cd1be,
-    0x369bf7c9, 0x3f4eaafe, 0x36a86623, 0x3f5081cd,
-    0x36b4d4d9, 0x3f52562c, 0x36c143ec, 0x3f54281a,
-    0x36cdb359, 0x3f55f796, 0x36da2321, 0x3f57c4a2,
-    0x36e69344, 0x3f598f3c, 0x36f303c0, 0x3f5b5765,
-    0x36ff7496, 0x3f5d1d1d, 0x370be5c4, 0x3f5ee063,
-    0x3718574b, 0x3f60a138, 0x3724c92a, 0x3f625f9b,
-    0x37313b60, 0x3f641b8d, 0x373daded, 0x3f65d50d,
-    0x374a20d0, 0x3f678c1c, 0x3756940a, 0x3f6940b8,
-    0x37630799, 0x3f6af2e3, 0x376f7b7d, 0x3f6ca29c,
-    0x377befb5, 0x3f6e4fe3, 0x37886442, 0x3f6ffab8,
-    0x3794d922, 0x3f71a31b, 0x37a14e55, 0x3f73490b,
-    0x37adc3db, 0x3f74ec8a, 0x37ba39b3, 0x3f768d96,
-    0x37c6afdc, 0x3f782c30, 0x37d32657, 0x3f79c857,
-    0x37df9d22, 0x3f7b620c, 0x37ec143e, 0x3f7cf94e,
-    0x37f88ba9, 0x3f7e8e1e, 0x38050364, 0x3f80207b,
-    0x38117b6d, 0x3f81b065, 0x381df3c5, 0x3f833ddd,
-    0x382a6c6a, 0x3f84c8e2, 0x3836e55d, 0x3f865174,
-    0x38435e9d, 0x3f87d792, 0x384fd829, 0x3f895b3e,
-    0x385c5201, 0x3f8adc77, 0x3868cc24, 0x3f8c5b3d,
-    0x38754692, 0x3f8dd78f, 0x3881c14b, 0x3f8f516e,
-    0x388e3c4d, 0x3f90c8da, 0x389ab799, 0x3f923dd2,
-    0x38a7332e, 0x3f93b058, 0x38b3af0c, 0x3f952069,
-    0x38c02b31, 0x3f968e07, 0x38cca79e, 0x3f97f932,
-    0x38d92452, 0x3f9961e8, 0x38e5a14d, 0x3f9ac82c,
-    0x38f21e8e, 0x3f9c2bfb, 0x38fe9c15, 0x3f9d8d56,
-    0x390b19e0, 0x3f9eec3e, 0x391797f0, 0x3fa048b2,
-    0x39241645, 0x3fa1a2b2, 0x393094dd, 0x3fa2fa3d,
-    0x393d13b8, 0x3fa44f55, 0x394992d7, 0x3fa5a1f9,
-    0x39561237, 0x3fa6f228, 0x396291d9, 0x3fa83fe3,
-    0x396f11bc, 0x3fa98b2a, 0x397b91e1, 0x3faad3fd,
-    0x39881245, 0x3fac1a5b, 0x399492ea, 0x3fad5e45,
-    0x39a113cd, 0x3fae9fbb, 0x39ad94f0, 0x3fafdebb,
-    0x39ba1651, 0x3fb11b48, 0x39c697f0, 0x3fb2555f,
-    0x39d319cc, 0x3fb38d02, 0x39df9be6, 0x3fb4c231,
-    0x39ec1e3b, 0x3fb5f4ea, 0x39f8a0cd, 0x3fb7252f,
-    0x3a05239a, 0x3fb852ff, 0x3a11a6a3, 0x3fb97e5a,
-    0x3a1e29e5, 0x3fbaa740, 0x3a2aad62, 0x3fbbcdb1,
-    0x3a373119, 0x3fbcf1ad, 0x3a43b508, 0x3fbe1334,
-    0x3a503930, 0x3fbf3246, 0x3a5cbd91, 0x3fc04ee3,
-    0x3a694229, 0x3fc1690a, 0x3a75c6f8, 0x3fc280bc,
-    0x3a824bfd, 0x3fc395f9, 0x3a8ed139, 0x3fc4a8c1,
-    0x3a9b56ab, 0x3fc5b913, 0x3aa7dc52, 0x3fc6c6f0,
-    0x3ab4622d, 0x3fc7d258, 0x3ac0e83d, 0x3fc8db4a,
-    0x3acd6e81, 0x3fc9e1c6, 0x3ad9f4f8, 0x3fcae5cd,
-    0x3ae67ba2, 0x3fcbe75e, 0x3af3027e, 0x3fcce67a,
-    0x3aff898c, 0x3fcde320, 0x3b0c10cb, 0x3fcedd50,
-    0x3b18983b, 0x3fcfd50b, 0x3b251fdc, 0x3fd0ca4f,
-    0x3b31a7ac, 0x3fd1bd1e, 0x3b3e2fac, 0x3fd2ad77,
-    0x3b4ab7db, 0x3fd39b5a, 0x3b574039, 0x3fd486c7,
-    0x3b63c8c4, 0x3fd56fbe, 0x3b70517d, 0x3fd6563f,
-    0x3b7cda63, 0x3fd73a4a, 0x3b896375, 0x3fd81bdf,
-    0x3b95ecb4, 0x3fd8fafe, 0x3ba2761e, 0x3fd9d7a7,
-    0x3baeffb3, 0x3fdab1d9, 0x3bbb8973, 0x3fdb8996,
-    0x3bc8135c, 0x3fdc5edc, 0x3bd49d70, 0x3fdd31ac,
-    0x3be127ac, 0x3fde0205, 0x3bedb212, 0x3fdecfe8,
-    0x3bfa3c9f, 0x3fdf9b55, 0x3c06c754, 0x3fe0644b,
-    0x3c135231, 0x3fe12acb, 0x3c1fdd34, 0x3fe1eed5,
-    0x3c2c685d, 0x3fe2b067, 0x3c38f3ac, 0x3fe36f84,
-    0x3c457f21, 0x3fe42c2a, 0x3c520aba, 0x3fe4e659,
-    0x3c5e9678, 0x3fe59e12, 0x3c6b2259, 0x3fe65354,
-    0x3c77ae5e, 0x3fe7061f, 0x3c843a85, 0x3fe7b674,
-    0x3c90c6cf, 0x3fe86452, 0x3c9d533b, 0x3fe90fb9,
-    0x3ca9dfc8, 0x3fe9b8a9, 0x3cb66c77, 0x3fea5f23,
-    0x3cc2f945, 0x3feb0326, 0x3ccf8634, 0x3feba4b2,
-    0x3cdc1342, 0x3fec43c7, 0x3ce8a06f, 0x3fece065,
-    0x3cf52dbb, 0x3fed7a8c, 0x3d01bb24, 0x3fee123d,
-    0x3d0e48ab, 0x3feea776, 0x3d1ad650, 0x3fef3a39,
-    0x3d276410, 0x3fefca84, 0x3d33f1ed, 0x3ff05858,
-    0x3d407fe6, 0x3ff0e3b6, 0x3d4d0df9, 0x3ff16c9c,
-    0x3d599c28, 0x3ff1f30b, 0x3d662a70, 0x3ff27703,
-    0x3d72b8d2, 0x3ff2f884, 0x3d7f474d, 0x3ff3778e,
-    0x3d8bd5e1, 0x3ff3f420, 0x3d98648d, 0x3ff46e3c,
-    0x3da4f351, 0x3ff4e5e0, 0x3db1822c, 0x3ff55b0d,
-    0x3dbe111e, 0x3ff5cdc3, 0x3dcaa027, 0x3ff63e01,
-    0x3dd72f45, 0x3ff6abc8, 0x3de3be78, 0x3ff71718,
-    0x3df04dc0, 0x3ff77ff1, 0x3dfcdd1d, 0x3ff7e652,
-    0x3e096c8d, 0x3ff84a3c, 0x3e15fc11, 0x3ff8abae,
-    0x3e228ba7, 0x3ff90aaa, 0x3e2f1b50, 0x3ff9672d,
-    0x3e3bab0b, 0x3ff9c13a, 0x3e483ad8, 0x3ffa18cf,
-    0x3e54cab5, 0x3ffa6dec, 0x3e615aa3, 0x3ffac092,
-    0x3e6deaa1, 0x3ffb10c1, 0x3e7a7aae, 0x3ffb5e78,
-    0x3e870aca, 0x3ffba9b8, 0x3e939af5, 0x3ffbf280,
-    0x3ea02b2e, 0x3ffc38d1, 0x3eacbb74, 0x3ffc7caa,
-    0x3eb94bc8, 0x3ffcbe0c, 0x3ec5dc28, 0x3ffcfcf6,
-    0x3ed26c94, 0x3ffd3969, 0x3edefd0c, 0x3ffd7364,
-    0x3eeb8d8f, 0x3ffdaae7, 0x3ef81e1d, 0x3ffddff3,
-    0x3f04aeb5, 0x3ffe1288, 0x3f113f56, 0x3ffe42a4,
-    0x3f1dd001, 0x3ffe704a, 0x3f2a60b4, 0x3ffe9b77,
-    0x3f36f170, 0x3ffec42d, 0x3f438234, 0x3ffeea6c,
-    0x3f5012fe, 0x3fff0e32, 0x3f5ca3d0, 0x3fff2f82,
-    0x3f6934a8, 0x3fff4e59, 0x3f75c585, 0x3fff6ab9,
-    0x3f825668, 0x3fff84a1, 0x3f8ee750, 0x3fff9c12,
-    0x3f9b783c, 0x3fffb10b, 0x3fa8092c, 0x3fffc38c,
-    0x3fb49a1f, 0x3fffd396, 0x3fc12b16, 0x3fffe128,
-    0x3fcdbc0f, 0x3fffec43, 0x3fda4d09, 0x3ffff4e6,
-    0x3fe6de05, 0x3ffffb11, 0x3ff36f02, 0x3ffffec4,
-};
-
-
-/**    
-* \par   
-* Generation of realCoefBQ31 array:    
-* \par    
-*  n = 4096        
-* 
for (i = 0; i < n; i++)    
-* {    
-*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-* } 
    
-* \par    
-* Convert to fixed point Q31 format    
-*     round(pBTable[i] * pow(2, 31))    
-*    
-*/
-
-static const q31_t realCoefBQ31[8192] = {
-    0x40000000, 0x40000000, 0x400c90fe, 0x3ffffec4,
-    0x401921fb, 0x3ffffb11, 0x4025b2f7, 0x3ffff4e6,
-    0x403243f1, 0x3fffec43, 0x403ed4ea, 0x3fffe128,
-    0x404b65e1, 0x3fffd396, 0x4057f6d4, 0x3fffc38c,
-    0x406487c4, 0x3fffb10b, 0x407118b0, 0x3fff9c12,
-    0x407da998, 0x3fff84a1, 0x408a3a7b, 0x3fff6ab9,
-    0x4096cb58, 0x3fff4e59, 0x40a35c30, 0x3fff2f82,
-    0x40afed02, 0x3fff0e32, 0x40bc7dcc, 0x3ffeea6c,
-    0x40c90e90, 0x3ffec42d, 0x40d59f4c, 0x3ffe9b77,
-    0x40e22fff, 0x3ffe704a, 0x40eec0aa, 0x3ffe42a4,
-    0x40fb514b, 0x3ffe1288, 0x4107e1e3, 0x3ffddff3,
-    0x41147271, 0x3ffdaae7, 0x412102f4, 0x3ffd7364,
-    0x412d936c, 0x3ffd3969, 0x413a23d8, 0x3ffcfcf6,
-    0x4146b438, 0x3ffcbe0c, 0x4153448c, 0x3ffc7caa,
-    0x415fd4d2, 0x3ffc38d1, 0x416c650b, 0x3ffbf280,
-    0x4178f536, 0x3ffba9b8, 0x41858552, 0x3ffb5e78,
-    0x4192155f, 0x3ffb10c1, 0x419ea55d, 0x3ffac092,
-    0x41ab354b, 0x3ffa6dec, 0x41b7c528, 0x3ffa18cf,
-    0x41c454f5, 0x3ff9c13a, 0x41d0e4b0, 0x3ff9672d,
-    0x41dd7459, 0x3ff90aaa, 0x41ea03ef, 0x3ff8abae,
-    0x41f69373, 0x3ff84a3c, 0x420322e3, 0x3ff7e652,
-    0x420fb240, 0x3ff77ff1, 0x421c4188, 0x3ff71718,
-    0x4228d0bb, 0x3ff6abc8, 0x42355fd9, 0x3ff63e01,
-    0x4241eee2, 0x3ff5cdc3, 0x424e7dd4, 0x3ff55b0d,
-    0x425b0caf, 0x3ff4e5e0, 0x42679b73, 0x3ff46e3c,
-    0x42742a1f, 0x3ff3f420, 0x4280b8b3, 0x3ff3778e,
-    0x428d472e, 0x3ff2f884, 0x4299d590, 0x3ff27703,
-    0x42a663d8, 0x3ff1f30b, 0x42b2f207, 0x3ff16c9c,
-    0x42bf801a, 0x3ff0e3b6, 0x42cc0e13, 0x3ff05858,
-    0x42d89bf0, 0x3fefca84, 0x42e529b0, 0x3fef3a39,
-    0x42f1b755, 0x3feea776, 0x42fe44dc, 0x3fee123d,
-    0x430ad245, 0x3fed7a8c, 0x43175f91, 0x3fece065,
-    0x4323ecbe, 0x3fec43c7, 0x433079cc, 0x3feba4b2,
-    0x433d06bb, 0x3feb0326, 0x43499389, 0x3fea5f23,
-    0x43562038, 0x3fe9b8a9, 0x4362acc5, 0x3fe90fb9,
-    0x436f3931, 0x3fe86452, 0x437bc57b, 0x3fe7b674,
-    0x438851a2, 0x3fe7061f, 0x4394dda7, 0x3fe65354,
-    0x43a16988, 0x3fe59e12, 0x43adf546, 0x3fe4e659,
-    0x43ba80df, 0x3fe42c2a, 0x43c70c54, 0x3fe36f84,
-    0x43d397a3, 0x3fe2b067, 0x43e022cc, 0x3fe1eed5,
-    0x43ecadcf, 0x3fe12acb, 0x43f938ac, 0x3fe0644b,
-    0x4405c361, 0x3fdf9b55, 0x44124dee, 0x3fdecfe8,
-    0x441ed854, 0x3fde0205, 0x442b6290, 0x3fdd31ac,
-    0x4437eca4, 0x3fdc5edc, 0x4444768d, 0x3fdb8996,
-    0x4451004d, 0x3fdab1d9, 0x445d89e2, 0x3fd9d7a7,
-    0x446a134c, 0x3fd8fafe, 0x44769c8b, 0x3fd81bdf,
-    0x4483259d, 0x3fd73a4a, 0x448fae83, 0x3fd6563f,
-    0x449c373c, 0x3fd56fbe, 0x44a8bfc7, 0x3fd486c7,
-    0x44b54825, 0x3fd39b5a, 0x44c1d054, 0x3fd2ad77,
-    0x44ce5854, 0x3fd1bd1e, 0x44dae024, 0x3fd0ca4f,
-    0x44e767c5, 0x3fcfd50b, 0x44f3ef35, 0x3fcedd50,
-    0x45007674, 0x3fcde320, 0x450cfd82, 0x3fcce67a,
-    0x4519845e, 0x3fcbe75e, 0x45260b08, 0x3fcae5cd,
-    0x4532917f, 0x3fc9e1c6, 0x453f17c3, 0x3fc8db4a,
-    0x454b9dd3, 0x3fc7d258, 0x455823ae, 0x3fc6c6f0,
-    0x4564a955, 0x3fc5b913, 0x45712ec7, 0x3fc4a8c1,
-    0x457db403, 0x3fc395f9, 0x458a3908, 0x3fc280bc,
-    0x4596bdd7, 0x3fc1690a, 0x45a3426f, 0x3fc04ee3,
-    0x45afc6d0, 0x3fbf3246, 0x45bc4af8, 0x3fbe1334,
-    0x45c8cee7, 0x3fbcf1ad, 0x45d5529e, 0x3fbbcdb1,
-    0x45e1d61b, 0x3fbaa740, 0x45ee595d, 0x3fb97e5a,
-    0x45fadc66, 0x3fb852ff, 0x46075f33, 0x3fb7252f,
-    0x4613e1c5, 0x3fb5f4ea, 0x4620641a, 0x3fb4c231,
-    0x462ce634, 0x3fb38d02, 0x46396810, 0x3fb2555f,
-    0x4645e9af, 0x3fb11b48, 0x46526b10, 0x3fafdebb,
-    0x465eec33, 0x3fae9fbb, 0x466b6d16, 0x3fad5e45,
-    0x4677edbb, 0x3fac1a5b, 0x46846e1f, 0x3faad3fd,
-    0x4690ee44, 0x3fa98b2a, 0x469d6e27, 0x3fa83fe3,
-    0x46a9edc9, 0x3fa6f228, 0x46b66d29, 0x3fa5a1f9,
-    0x46c2ec48, 0x3fa44f55, 0x46cf6b23, 0x3fa2fa3d,
-    0x46dbe9bb, 0x3fa1a2b2, 0x46e86810, 0x3fa048b2,
-    0x46f4e620, 0x3f9eec3e, 0x470163eb, 0x3f9d8d56,
-    0x470de172, 0x3f9c2bfb, 0x471a5eb3, 0x3f9ac82c,
-    0x4726dbae, 0x3f9961e8, 0x47335862, 0x3f97f932,
-    0x473fd4cf, 0x3f968e07, 0x474c50f4, 0x3f952069,
-    0x4758ccd2, 0x3f93b058, 0x47654867, 0x3f923dd2,
-    0x4771c3b3, 0x3f90c8da, 0x477e3eb5, 0x3f8f516e,
-    0x478ab96e, 0x3f8dd78f, 0x479733dc, 0x3f8c5b3d,
-    0x47a3adff, 0x3f8adc77, 0x47b027d7, 0x3f895b3e,
-    0x47bca163, 0x3f87d792, 0x47c91aa3, 0x3f865174,
-    0x47d59396, 0x3f84c8e2, 0x47e20c3b, 0x3f833ddd,
-    0x47ee8493, 0x3f81b065, 0x47fafc9c, 0x3f80207b,
-    0x48077457, 0x3f7e8e1e, 0x4813ebc2, 0x3f7cf94e,
-    0x482062de, 0x3f7b620c, 0x482cd9a9, 0x3f79c857,
-    0x48395024, 0x3f782c30, 0x4845c64d, 0x3f768d96,
-    0x48523c25, 0x3f74ec8a, 0x485eb1ab, 0x3f73490b,
-    0x486b26de, 0x3f71a31b, 0x48779bbe, 0x3f6ffab8,
-    0x4884104b, 0x3f6e4fe3, 0x48908483, 0x3f6ca29c,
-    0x489cf867, 0x3f6af2e3, 0x48a96bf6, 0x3f6940b8,
-    0x48b5df30, 0x3f678c1c, 0x48c25213, 0x3f65d50d,
-    0x48cec4a0, 0x3f641b8d, 0x48db36d6, 0x3f625f9b,
-    0x48e7a8b5, 0x3f60a138, 0x48f41a3c, 0x3f5ee063,
-    0x49008b6a, 0x3f5d1d1d, 0x490cfc40, 0x3f5b5765,
-    0x49196cbc, 0x3f598f3c, 0x4925dcdf, 0x3f57c4a2,
-    0x49324ca7, 0x3f55f796, 0x493ebc14, 0x3f54281a,
-    0x494b2b27, 0x3f52562c, 0x495799dd, 0x3f5081cd,
-    0x49640837, 0x3f4eaafe, 0x49707635, 0x3f4cd1be,
-    0x497ce3d5, 0x3f4af60d, 0x49895118, 0x3f4917eb,
-    0x4995bdfd, 0x3f473759, 0x49a22a83, 0x3f455456,
-    0x49ae96aa, 0x3f436ee3, 0x49bb0271, 0x3f4186ff,
-    0x49c76dd8, 0x3f3f9cab, 0x49d3d8df, 0x3f3dafe7,
-    0x49e04385, 0x3f3bc0b3, 0x49ecadc9, 0x3f39cf0e,
-    0x49f917ac, 0x3f37dafa, 0x4a05812c, 0x3f35e476,
-    0x4a11ea49, 0x3f33eb81, 0x4a1e5303, 0x3f31f01d,
-    0x4a2abb59, 0x3f2ff24a, 0x4a37234a, 0x3f2df206,
-    0x4a438ad7, 0x3f2bef53, 0x4a4ff1fe, 0x3f29ea31,
-    0x4a5c58c0, 0x3f27e29f, 0x4a68bf1b, 0x3f25d89e,
-    0x4a752510, 0x3f23cc2e, 0x4a818a9d, 0x3f21bd4e,
-    0x4a8defc3, 0x3f1fabff, 0x4a9a5480, 0x3f1d9842,
-    0x4aa6b8d5, 0x3f1b8215, 0x4ab31cc1, 0x3f19697a,
-    0x4abf8043, 0x3f174e70, 0x4acbe35b, 0x3f1530f7,
-    0x4ad84609, 0x3f13110f, 0x4ae4a84b, 0x3f10eeb9,
-    0x4af10a22, 0x3f0ec9f5, 0x4afd6b8d, 0x3f0ca2c2,
-    0x4b09cc8c, 0x3f0a7921, 0x4b162d1d, 0x3f084d12,
-    0x4b228d42, 0x3f061e95, 0x4b2eecf8, 0x3f03eda9,
-    0x4b3b4c40, 0x3f01ba50, 0x4b47ab19, 0x3eff8489,
-    0x4b540982, 0x3efd4c54, 0x4b60677c, 0x3efb11b1,
-    0x4b6cc506, 0x3ef8d4a1, 0x4b79221f, 0x3ef69523,
-    0x4b857ec7, 0x3ef45338, 0x4b91dafc, 0x3ef20ee0,
-    0x4b9e36c0, 0x3eefc81a, 0x4baa9211, 0x3eed7ee7,
-    0x4bb6ecef, 0x3eeb3347, 0x4bc34759, 0x3ee8e53a,
-    0x4bcfa150, 0x3ee694c1, 0x4bdbfad1, 0x3ee441da,
-    0x4be853de, 0x3ee1ec87, 0x4bf4ac75, 0x3edf94c7,
-    0x4c010496, 0x3edd3a9a, 0x4c0d5c41, 0x3edade01,
-    0x4c19b374, 0x3ed87efc, 0x4c260a31, 0x3ed61d8a,
-    0x4c326075, 0x3ed3b9ad, 0x4c3eb641, 0x3ed15363,
-    0x4c4b0b94, 0x3eceeaad, 0x4c57606e, 0x3ecc7f8b,
-    0x4c63b4ce, 0x3eca11fe, 0x4c7008b3, 0x3ec7a205,
-    0x4c7c5c1e, 0x3ec52fa0, 0x4c88af0e, 0x3ec2bad0,
-    0x4c950182, 0x3ec04394, 0x4ca1537a, 0x3ebdc9ed,
-    0x4cada4f5, 0x3ebb4ddb, 0x4cb9f5f3, 0x3eb8cf5d,
-    0x4cc64673, 0x3eb64e75, 0x4cd29676, 0x3eb3cb21,
-    0x4cdee5f9, 0x3eb14563, 0x4ceb34fe, 0x3eaebd3a,
-    0x4cf78383, 0x3eac32a6, 0x4d03d189, 0x3ea9a5a8,
-    0x4d101f0e, 0x3ea7163f, 0x4d1c6c11, 0x3ea4846c,
-    0x4d28b894, 0x3ea1f02f, 0x4d350495, 0x3e9f5988,
-    0x4d415013, 0x3e9cc076, 0x4d4d9b0e, 0x3e9a24fb,
-    0x4d59e586, 0x3e978715, 0x4d662f7b, 0x3e94e6c6,
-    0x4d7278eb, 0x3e92440d, 0x4d7ec1d6, 0x3e8f9eeb,
-    0x4d8b0a3d, 0x3e8cf75f, 0x4d97521d, 0x3e8a4d6a,
-    0x4da39978, 0x3e87a10c, 0x4dafe04b, 0x3e84f245,
-    0x4dbc2698, 0x3e824114, 0x4dc86c5d, 0x3e7f8d7b,
-    0x4dd4b19a, 0x3e7cd778, 0x4de0f64f, 0x3e7a1f0d,
-    0x4ded3a7b, 0x3e77643a, 0x4df97e1d, 0x3e74a6fd,
-    0x4e05c135, 0x3e71e759, 0x4e1203c3, 0x3e6f254c,
-    0x4e1e45c6, 0x3e6c60d7, 0x4e2a873e, 0x3e6999fa,
-    0x4e36c82a, 0x3e66d0b4, 0x4e430889, 0x3e640507,
-    0x4e4f485c, 0x3e6136f3, 0x4e5b87a2, 0x3e5e6676,
-    0x4e67c65a, 0x3e5b9392, 0x4e740483, 0x3e58be47,
-    0x4e80421e, 0x3e55e694, 0x4e8c7f2a, 0x3e530c7a,
-    0x4e98bba7, 0x3e502ff9, 0x4ea4f793, 0x3e4d5110,
-    0x4eb132ef, 0x3e4a6fc1, 0x4ebd6db9, 0x3e478c0b,
-    0x4ec9a7f3, 0x3e44a5ef, 0x4ed5e19a, 0x3e41bd6c,
-    0x4ee21aaf, 0x3e3ed282, 0x4eee5331, 0x3e3be532,
-    0x4efa8b20, 0x3e38f57c, 0x4f06c27a, 0x3e360360,
-    0x4f12f941, 0x3e330ede, 0x4f1f2f73, 0x3e3017f6,
-    0x4f2b650f, 0x3e2d1ea8, 0x4f379a16, 0x3e2a22f4,
-    0x4f43ce86, 0x3e2724db, 0x4f500260, 0x3e24245d,
-    0x4f5c35a3, 0x3e212179, 0x4f68684e, 0x3e1e1c30,
-    0x4f749a61, 0x3e1b1482, 0x4f80cbdc, 0x3e180a6f,
-    0x4f8cfcbe, 0x3e14fdf7, 0x4f992d06, 0x3e11ef1b,
-    0x4fa55cb4, 0x3e0eddd9, 0x4fb18bc8, 0x3e0bca34,
-    0x4fbdba40, 0x3e08b42a, 0x4fc9e81e, 0x3e059bbb,
-    0x4fd6155f, 0x3e0280e9, 0x4fe24205, 0x3dff63b2,
-    0x4fee6e0d, 0x3dfc4418, 0x4ffa9979, 0x3df9221a,
-    0x5006c446, 0x3df5fdb8, 0x5012ee76, 0x3df2d6f3,
-    0x501f1807, 0x3defadca, 0x502b40f8, 0x3dec823e,
-    0x5037694b, 0x3de9544f, 0x504390fd, 0x3de623fd,
-    0x504fb80e, 0x3de2f148, 0x505bde7f, 0x3ddfbc30,
-    0x5068044e, 0x3ddc84b5, 0x5074297b, 0x3dd94ad8,
-    0x50804e06, 0x3dd60e99, 0x508c71ee, 0x3dd2cff7,
-    0x50989532, 0x3dcf8ef3, 0x50a4b7d3, 0x3dcc4b8d,
-    0x50b0d9d0, 0x3dc905c5, 0x50bcfb28, 0x3dc5bd9b,
-    0x50c91bda, 0x3dc2730f, 0x50d53be7, 0x3dbf2622,
-    0x50e15b4e, 0x3dbbd6d4, 0x50ed7a0e, 0x3db88524,
-    0x50f99827, 0x3db53113, 0x5105b599, 0x3db1daa2,
-    0x5111d263, 0x3dae81cf, 0x511dee84, 0x3dab269b,
-    0x512a09fc, 0x3da7c907, 0x513624cb, 0x3da46912,
-    0x51423ef0, 0x3da106bd, 0x514e586a, 0x3d9da208,
-    0x515a713a, 0x3d9a3af2, 0x5166895f, 0x3d96d17d,
-    0x5172a0d7, 0x3d9365a8, 0x517eb7a4, 0x3d8ff772,
-    0x518acdc4, 0x3d8c86de, 0x5196e337, 0x3d8913ea,
-    0x51a2f7fc, 0x3d859e96, 0x51af0c13, 0x3d8226e4,
-    0x51bb1f7c, 0x3d7eacd2, 0x51c73235, 0x3d7b3061,
-    0x51d3443f, 0x3d77b192, 0x51df5599, 0x3d743064,
-    0x51eb6643, 0x3d70acd7, 0x51f7763c, 0x3d6d26ec,
-    0x52038584, 0x3d699ea3, 0x520f941a, 0x3d6613fb,
-    0x521ba1fd, 0x3d6286f6, 0x5227af2e, 0x3d5ef793,
-    0x5233bbac, 0x3d5b65d2, 0x523fc776, 0x3d57d1b3,
-    0x524bd28c, 0x3d543b37, 0x5257dced, 0x3d50a25e,
-    0x5263e699, 0x3d4d0728, 0x526fef90, 0x3d496994,
-    0x527bf7d1, 0x3d45c9a4, 0x5287ff5b, 0x3d422757,
-    0x5294062f, 0x3d3e82ae, 0x52a00c4b, 0x3d3adba7,
-    0x52ac11af, 0x3d373245, 0x52b8165b, 0x3d338687,
-    0x52c41a4f, 0x3d2fd86c, 0x52d01d89, 0x3d2c27f6,
-    0x52dc2009, 0x3d287523, 0x52e821cf, 0x3d24bff6,
-    0x52f422db, 0x3d21086c, 0x5300232c, 0x3d1d4e88,
-    0x530c22c1, 0x3d199248, 0x5318219a, 0x3d15d3ad,
-    0x53241fb6, 0x3d1212b7, 0x53301d16, 0x3d0e4f67,
-    0x533c19b8, 0x3d0a89bc, 0x5348159d, 0x3d06c1b6,
-    0x535410c3, 0x3d02f757, 0x53600b2a, 0x3cff2a9d,
-    0x536c04d2, 0x3cfb5b89, 0x5377fdbb, 0x3cf78a1b,
-    0x5383f5e3, 0x3cf3b653, 0x538fed4b, 0x3cefe032,
-    0x539be3f2, 0x3cec07b8, 0x53a7d9d7, 0x3ce82ce4,
-    0x53b3cefa, 0x3ce44fb7, 0x53bfc35b, 0x3ce07031,
-    0x53cbb6f8, 0x3cdc8e52, 0x53d7a9d3, 0x3cd8aa1b,
-    0x53e39be9, 0x3cd4c38b, 0x53ef8d3c, 0x3cd0daa2,
-    0x53fb7dc9, 0x3cccef62, 0x54076d91, 0x3cc901c9,
-    0x54135c94, 0x3cc511d9, 0x541f4ad1, 0x3cc11f90,
-    0x542b3846, 0x3cbd2af0, 0x543724f5, 0x3cb933f9,
-    0x544310dd, 0x3cb53aaa, 0x544efbfc, 0x3cb13f04,
-    0x545ae653, 0x3cad4107, 0x5466cfe1, 0x3ca940b3,
-    0x5472b8a5, 0x3ca53e09, 0x547ea0a0, 0x3ca13908,
-    0x548a87d1, 0x3c9d31b0, 0x54966e36, 0x3c992803,
-    0x54a253d1, 0x3c951bff, 0x54ae38a0, 0x3c910da5,
-    0x54ba1ca3, 0x3c8cfcf6, 0x54c5ffd9, 0x3c88e9f1,
-    0x54d1e242, 0x3c84d496, 0x54ddc3de, 0x3c80bce7,
-    0x54e9a4ac, 0x3c7ca2e2, 0x54f584ac, 0x3c788688,
-    0x550163dc, 0x3c7467d9, 0x550d423d, 0x3c7046d6,
-    0x55191fcf, 0x3c6c237e, 0x5524fc90, 0x3c67fdd1,
-    0x5530d881, 0x3c63d5d1, 0x553cb3a0, 0x3c5fab7c,
-    0x55488dee, 0x3c5b7ed4, 0x5554676a, 0x3c574fd8,
-    0x55604013, 0x3c531e88, 0x556c17e9, 0x3c4eeae5,
-    0x5577eeec, 0x3c4ab4ef, 0x5583c51b, 0x3c467ca6,
-    0x558f9a76, 0x3c42420a, 0x559b6efb, 0x3c3e051b,
-    0x55a742ac, 0x3c39c5da, 0x55b31587, 0x3c358446,
-    0x55bee78c, 0x3c314060, 0x55cab8ba, 0x3c2cfa28,
-    0x55d68911, 0x3c28b19e, 0x55e25890, 0x3c2466c2,
-    0x55ee2738, 0x3c201994, 0x55f9f507, 0x3c1bca16,
-    0x5605c1fd, 0x3c177845, 0x56118e1a, 0x3c132424,
-    0x561d595d, 0x3c0ecdb2, 0x562923c5, 0x3c0a74f0,
-    0x5634ed53, 0x3c0619dc, 0x5640b606, 0x3c01bc78,
-    0x564c7ddd, 0x3bfd5cc4, 0x565844d8, 0x3bf8fac0,
-    0x56640af7, 0x3bf4966c, 0x566fd039, 0x3bf02fc9,
-    0x567b949d, 0x3bebc6d5, 0x56875823, 0x3be75b93,
-    0x56931acb, 0x3be2ee01, 0x569edc94, 0x3bde7e20,
-    0x56aa9d7e, 0x3bda0bf0, 0x56b65d88, 0x3bd59771,
-    0x56c21cb2, 0x3bd120a4, 0x56cddafb, 0x3bcca789,
-    0x56d99864, 0x3bc82c1f, 0x56e554ea, 0x3bc3ae67,
-    0x56f1108f, 0x3bbf2e62, 0x56fccb51, 0x3bbaac0e,
-    0x57088531, 0x3bb6276e, 0x57143e2d, 0x3bb1a080,
-    0x571ff646, 0x3bad1744, 0x572bad7a, 0x3ba88bbc,
-    0x573763c9, 0x3ba3fde7, 0x57431933, 0x3b9f6dc5,
-    0x574ecdb8, 0x3b9adb57, 0x575a8157, 0x3b96469d,
-    0x5766340f, 0x3b91af97, 0x5771e5e0, 0x3b8d1644,
-    0x577d96ca, 0x3b887aa6, 0x578946cc, 0x3b83dcbc,
-    0x5794f5e6, 0x3b7f3c87, 0x57a0a417, 0x3b7a9a07,
-    0x57ac515f, 0x3b75f53c, 0x57b7fdbd, 0x3b714e25,
-    0x57c3a931, 0x3b6ca4c4, 0x57cf53bb, 0x3b67f919,
-    0x57dafd59, 0x3b634b23, 0x57e6a60c, 0x3b5e9ae4,
-    0x57f24dd3, 0x3b59e85a, 0x57fdf4ae, 0x3b553386,
-    0x58099a9c, 0x3b507c69, 0x58153f9d, 0x3b4bc303,
-    0x5820e3b0, 0x3b470753, 0x582c86d5, 0x3b42495a,
-    0x5838290c, 0x3b3d8918, 0x5843ca53, 0x3b38c68e,
-    0x584f6aab, 0x3b3401bb, 0x585b0a13, 0x3b2f3aa0,
-    0x5866a88a, 0x3b2a713d, 0x58724611, 0x3b25a591,
-    0x587de2a7, 0x3b20d79e, 0x58897e4a, 0x3b1c0764,
-    0x589518fc, 0x3b1734e2, 0x58a0b2bb, 0x3b126019,
-    0x58ac4b87, 0x3b0d8909, 0x58b7e35f, 0x3b08afb2,
-    0x58c37a44, 0x3b03d414, 0x58cf1034, 0x3afef630,
-    0x58daa52f, 0x3afa1605, 0x58e63935, 0x3af53395,
-    0x58f1cc45, 0x3af04edf, 0x58fd5e5f, 0x3aeb67e3,
-    0x5908ef82, 0x3ae67ea1, 0x59147fae, 0x3ae1931a,
-    0x59200ee3, 0x3adca54e, 0x592b9d1f, 0x3ad7b53d,
-    0x59372a64, 0x3ad2c2e8, 0x5942b6af, 0x3acdce4d,
-    0x594e4201, 0x3ac8d76f, 0x5959cc5a, 0x3ac3de4c,
-    0x596555b8, 0x3abee2e5, 0x5970de1b, 0x3ab9e53a,
-    0x597c6584, 0x3ab4e54c, 0x5987ebf0, 0x3aafe31b,
-    0x59937161, 0x3aaadea6, 0x599ef5d6, 0x3aa5d7ee,
-    0x59aa794d, 0x3aa0cef3, 0x59b5fbc8, 0x3a9bc3b6,
-    0x59c17d44, 0x3a96b636, 0x59ccfdc2, 0x3a91a674,
-    0x59d87d42, 0x3a8c9470, 0x59e3fbc3, 0x3a87802a,
-    0x59ef7944, 0x3a8269a3, 0x59faf5c5, 0x3a7d50da,
-    0x5a067145, 0x3a7835cf, 0x5a11ebc5, 0x3a731884,
-    0x5a1d6544, 0x3a6df8f8, 0x5a28ddc0, 0x3a68d72b,
-    0x5a34553b, 0x3a63b31d, 0x5a3fcbb3, 0x3a5e8cd0,
-    0x5a4b4128, 0x3a596442, 0x5a56b599, 0x3a543974,
-    0x5a622907, 0x3a4f0c67, 0x5a6d9b70, 0x3a49dd1a,
-    0x5a790cd4, 0x3a44ab8e, 0x5a847d33, 0x3a3f77c3,
-    0x5a8fec8c, 0x3a3a41b9, 0x5a9b5adf, 0x3a350970,
-    0x5aa6c82b, 0x3a2fcee8, 0x5ab23471, 0x3a2a9223,
-    0x5abd9faf, 0x3a25531f, 0x5ac909e5, 0x3a2011de,
-    0x5ad47312, 0x3a1ace5f, 0x5adfdb37, 0x3a1588a2,
-    0x5aeb4253, 0x3a1040a8, 0x5af6a865, 0x3a0af671,
-    0x5b020d6c, 0x3a05a9fd, 0x5b0d716a, 0x3a005b4d,
-    0x5b18d45c, 0x39fb0a60, 0x5b243643, 0x39f5b737,
-    0x5b2f971e, 0x39f061d2, 0x5b3af6ec, 0x39eb0a31,
-    0x5b4655ae, 0x39e5b054, 0x5b51b363, 0x39e0543c,
-    0x5b5d100a, 0x39daf5e8, 0x5b686ba3, 0x39d5955a,
-    0x5b73c62d, 0x39d03291, 0x5b7f1fa9, 0x39cacd8d,
-    0x5b8a7815, 0x39c5664f, 0x5b95cf71, 0x39bffcd7,
-    0x5ba125bd, 0x39ba9125, 0x5bac7af9, 0x39b52339,
-    0x5bb7cf23, 0x39afb313, 0x5bc3223c, 0x39aa40b4,
-    0x5bce7442, 0x39a4cc1c, 0x5bd9c537, 0x399f554b,
-    0x5be51518, 0x3999dc42, 0x5bf063e6, 0x399460ff,
-    0x5bfbb1a0, 0x398ee385, 0x5c06fe46, 0x398963d2,
-    0x5c1249d8, 0x3983e1e8, 0x5c1d9454, 0x397e5dc6,
-    0x5c28ddbb, 0x3978d76c, 0x5c34260c, 0x39734edc,
-    0x5c3f6d47, 0x396dc414, 0x5c4ab36b, 0x39683715,
-    0x5c55f878, 0x3962a7e0, 0x5c613c6d, 0x395d1675,
-    0x5c6c7f4a, 0x395782d3, 0x5c77c10e, 0x3951ecfc,
-    0x5c8301b9, 0x394c54ee, 0x5c8e414b, 0x3946baac,
-    0x5c997fc4, 0x39411e33, 0x5ca4bd21, 0x393b7f86,
-    0x5caff965, 0x3935dea4, 0x5cbb348d, 0x39303b8e,
-    0x5cc66e99, 0x392a9642, 0x5cd1a78a, 0x3924eec3,
-    0x5cdcdf5e, 0x391f4510, 0x5ce81615, 0x39199929,
-    0x5cf34baf, 0x3913eb0e, 0x5cfe802b, 0x390e3ac0,
-    0x5d09b389, 0x3908883f, 0x5d14e5c9, 0x3902d38b,
-    0x5d2016e9, 0x38fd1ca4, 0x5d2b46ea, 0x38f7638b,
-    0x5d3675cb, 0x38f1a840, 0x5d41a38c, 0x38ebeac2,
-    0x5d4cd02c, 0x38e62b13, 0x5d57fbaa, 0x38e06932,
-    0x5d632608, 0x38daa520, 0x5d6e4f43, 0x38d4dedd,
-    0x5d79775c, 0x38cf1669, 0x5d849e51, 0x38c94bc4,
-    0x5d8fc424, 0x38c37eef, 0x5d9ae8d2, 0x38bdafea,
-    0x5da60c5d, 0x38b7deb4, 0x5db12ec3, 0x38b20b4f,
-    0x5dbc5004, 0x38ac35ba, 0x5dc7701f, 0x38a65df6,
-    0x5dd28f15, 0x38a08402, 0x5dddace4, 0x389aa7e0,
-    0x5de8c98c, 0x3894c98f, 0x5df3e50d, 0x388ee910,
-    0x5dfeff67, 0x38890663, 0x5e0a1898, 0x38832187,
-    0x5e1530a1, 0x387d3a7e, 0x5e204781, 0x38775147,
-    0x5e2b5d38, 0x387165e3, 0x5e3671c5, 0x386b7852,
-    0x5e418528, 0x38658894, 0x5e4c9760, 0x385f96a9,
-    0x5e57a86d, 0x3859a292, 0x5e62b84f, 0x3853ac4f,
-    0x5e6dc705, 0x384db3e0, 0x5e78d48e, 0x3847b946,
-    0x5e83e0eb, 0x3841bc7f, 0x5e8eec1b, 0x383bbd8e,
-    0x5e99f61d, 0x3835bc71, 0x5ea4fef0, 0x382fb92a,
-    0x5eb00696, 0x3829b3b9, 0x5ebb0d0d, 0x3823ac1d,
-    0x5ec61254, 0x381da256, 0x5ed1166b, 0x38179666,
-    0x5edc1953, 0x3811884d, 0x5ee71b0a, 0x380b780a,
-    0x5ef21b90, 0x3805659e, 0x5efd1ae4, 0x37ff5109,
-    0x5f081907, 0x37f93a4b, 0x5f1315f7, 0x37f32165,
-    0x5f1e11b5, 0x37ed0657, 0x5f290c3f, 0x37e6e921,
-    0x5f340596, 0x37e0c9c3, 0x5f3efdb9, 0x37daa83d,
-    0x5f49f4a8, 0x37d48490, 0x5f54ea62, 0x37ce5ebd,
-    0x5f5fdee6, 0x37c836c2, 0x5f6ad235, 0x37c20ca1,
-    0x5f75c44e, 0x37bbe05a, 0x5f80b531, 0x37b5b1ec,
-    0x5f8ba4dc, 0x37af8159, 0x5f969350, 0x37a94ea0,
-    0x5fa1808c, 0x37a319c2, 0x5fac6c91, 0x379ce2be,
-    0x5fb7575c, 0x3796a996, 0x5fc240ef, 0x37906e49,
-    0x5fcd2948, 0x378a30d8, 0x5fd81067, 0x3783f143,
-    0x5fe2f64c, 0x377daf89, 0x5feddaf6, 0x37776bac,
-    0x5ff8be65, 0x377125ac, 0x6003a099, 0x376add88,
-    0x600e8190, 0x37649341, 0x6019614c, 0x375e46d8,
-    0x60243fca, 0x3757f84c, 0x602f1d0b, 0x3751a79e,
-    0x6039f90f, 0x374b54ce, 0x6044d3d4, 0x3744ffdd,
-    0x604fad5b, 0x373ea8ca, 0x605a85a3, 0x37384f95,
-    0x60655cac, 0x3731f440, 0x60703275, 0x372b96ca,
-    0x607b06fe, 0x37253733, 0x6085da46, 0x371ed57c,
-    0x6090ac4d, 0x371871a5, 0x609b7d13, 0x37120bae,
-    0x60a64c97, 0x370ba398, 0x60b11ad9, 0x37053962,
-    0x60bbe7d8, 0x36fecd0e, 0x60c6b395, 0x36f85e9a,
-    0x60d17e0d, 0x36f1ee09, 0x60dc4742, 0x36eb7b58,
-    0x60e70f32, 0x36e5068a, 0x60f1d5de, 0x36de8f9e,
-    0x60fc9b44, 0x36d81695, 0x61075f65, 0x36d19b6e,
-    0x61122240, 0x36cb1e2a, 0x611ce3d5, 0x36c49ec9,
-    0x6127a423, 0x36be1d4c, 0x61326329, 0x36b799b3,
-    0x613d20e8, 0x36b113fd, 0x6147dd5f, 0x36aa8c2c,
-    0x6152988d, 0x36a4023f, 0x615d5273, 0x369d7637,
-    0x61680b0f, 0x3696e814, 0x6172c262, 0x369057d6,
-    0x617d786a, 0x3689c57d, 0x61882d28, 0x3683310b,
-    0x6192e09b, 0x367c9a7e, 0x619d92c2, 0x367601d7,
-    0x61a8439e, 0x366f6717, 0x61b2f32e, 0x3668ca3e,
-    0x61bda171, 0x36622b4c, 0x61c84e67, 0x365b8a41,
-    0x61d2fa0f, 0x3654e71d, 0x61dda46a, 0x364e41e2,
-    0x61e84d76, 0x36479a8e, 0x61f2f534, 0x3640f123,
-    0x61fd9ba3, 0x363a45a0, 0x620840c2, 0x36339806,
-    0x6212e492, 0x362ce855, 0x621d8711, 0x3626368d,
-    0x6228283f, 0x361f82af, 0x6232c81c, 0x3618ccba,
-    0x623d66a8, 0x361214b0, 0x624803e2, 0x360b5a90,
-    0x62529fca, 0x36049e5b, 0x625d3a5e, 0x35fde011,
-    0x6267d3a0, 0x35f71fb1, 0x62726b8e, 0x35f05d3d,
-    0x627d0228, 0x35e998b5, 0x6287976e, 0x35e2d219,
-    0x62922b5e, 0x35dc0968, 0x629cbdfa, 0x35d53ea5,
-    0x62a74f40, 0x35ce71ce, 0x62b1df30, 0x35c7a2e3,
-    0x62bc6dca, 0x35c0d1e7, 0x62c6fb0c, 0x35b9fed7,
-    0x62d186f8, 0x35b329b5, 0x62dc118c, 0x35ac5282,
-    0x62e69ac8, 0x35a5793c, 0x62f122ab, 0x359e9de5,
-    0x62fba936, 0x3597c07d, 0x63062e67, 0x3590e104,
-    0x6310b23e, 0x3589ff7a, 0x631b34bc, 0x35831be0,
-    0x6325b5df, 0x357c3636, 0x633035a7, 0x35754e7c,
-    0x633ab414, 0x356e64b2, 0x63453125, 0x356778d9,
-    0x634facda, 0x35608af1, 0x635a2733, 0x35599afa,
-    0x6364a02e, 0x3552a8f4, 0x636f17cc, 0x354bb4e1,
-    0x63798e0d, 0x3544bebf, 0x638402ef, 0x353dc68f,
-    0x638e7673, 0x3536cc52, 0x6398e898, 0x352fd008,
-    0x63a3595e, 0x3528d1b1, 0x63adc8c4, 0x3521d14d,
-    0x63b836ca, 0x351acedd, 0x63c2a36f, 0x3513ca60,
-    0x63cd0eb3, 0x350cc3d8, 0x63d77896, 0x3505bb44,
-    0x63e1e117, 0x34feb0a5, 0x63ec4837, 0x34f7a3fb,
-    0x63f6adf3, 0x34f09546, 0x6401124d, 0x34e98487,
-    0x640b7543, 0x34e271bd, 0x6415d6d5, 0x34db5cea,
-    0x64203704, 0x34d4460c, 0x642a95ce, 0x34cd2d26,
-    0x6434f332, 0x34c61236, 0x643f4f32, 0x34bef53d,
-    0x6449a9cc, 0x34b7d63c, 0x645402ff, 0x34b0b533,
-    0x645e5acc, 0x34a99221, 0x6468b132, 0x34a26d08,
-    0x64730631, 0x349b45e7, 0x647d59c8, 0x34941cbf,
-    0x6487abf7, 0x348cf190, 0x6491fcbe, 0x3485c45b,
-    0x649c4c1b, 0x347e951f, 0x64a69a0f, 0x347763dd,
-    0x64b0e699, 0x34703095, 0x64bb31ba, 0x3468fb47,
-    0x64c57b6f, 0x3461c3f5, 0x64cfc3ba, 0x345a8a9d,
-    0x64da0a9a, 0x34534f41, 0x64e4500e, 0x344c11e0,
-    0x64ee9415, 0x3444d27b, 0x64f8d6b0, 0x343d9112,
-    0x650317df, 0x34364da6, 0x650d57a0, 0x342f0836,
-    0x651795f3, 0x3427c0c3, 0x6521d2d8, 0x3420774d,
-    0x652c0e4f, 0x34192bd5, 0x65364857, 0x3411de5b,
-    0x654080ef, 0x340a8edf, 0x654ab818, 0x34033d61,
-    0x6554edd1, 0x33fbe9e2, 0x655f2219, 0x33f49462,
-    0x656954f1, 0x33ed3ce1, 0x65738657, 0x33e5e360,
-    0x657db64c, 0x33de87de, 0x6587e4cf, 0x33d72a5d,
-    0x659211df, 0x33cfcadc, 0x659c3d7c, 0x33c8695b,
-    0x65a667a7, 0x33c105db, 0x65b0905d, 0x33b9a05d,
-    0x65bab7a0, 0x33b238e0, 0x65c4dd6e, 0x33aacf65,
-    0x65cf01c8, 0x33a363ec, 0x65d924ac, 0x339bf675,
-    0x65e3461b, 0x33948701, 0x65ed6614, 0x338d1590,
-    0x65f78497, 0x3385a222, 0x6601a1a2, 0x337e2cb7,
-    0x660bbd37, 0x3376b551, 0x6615d754, 0x336f3bee,
-    0x661feffa, 0x3367c090, 0x662a0727, 0x33604336,
-    0x66341cdb, 0x3358c3e2, 0x663e3117, 0x33514292,
-    0x664843d9, 0x3349bf48, 0x66525521, 0x33423a04,
-    0x665c64ef, 0x333ab2c6, 0x66667342, 0x3333298f,
-    0x6670801a, 0x332b9e5e, 0x667a8b77, 0x33241134,
-    0x66849558, 0x331c8211, 0x668e9dbd, 0x3314f0f6,
-    0x6698a4a6, 0x330d5de3, 0x66a2aa11, 0x3305c8d7,
-    0x66acadff, 0x32fe31d5, 0x66b6b070, 0x32f698db,
-    0x66c0b162, 0x32eefdea, 0x66cab0d6, 0x32e76102,
-    0x66d4aecb, 0x32dfc224, 0x66deab41, 0x32d82150,
-    0x66e8a637, 0x32d07e85, 0x66f29fad, 0x32c8d9c6,
-    0x66fc97a3, 0x32c13311, 0x67068e18, 0x32b98a67,
-    0x6710830c, 0x32b1dfc9, 0x671a767e, 0x32aa3336,
-    0x6724686e, 0x32a284b0, 0x672e58dc, 0x329ad435,
-    0x673847c8, 0x329321c7, 0x67423530, 0x328b6d66,
-    0x674c2115, 0x3283b712, 0x67560b76, 0x327bfecc,
-    0x675ff452, 0x32744493, 0x6769dbaa, 0x326c8868,
-    0x6773c17d, 0x3264ca4c, 0x677da5cb, 0x325d0a3e,
-    0x67878893, 0x32554840, 0x679169d5, 0x324d8450,
-    0x679b4990, 0x3245be70, 0x67a527c4, 0x323df6a0,
-    0x67af0472, 0x32362ce0, 0x67b8df97, 0x322e6130,
-    0x67c2b934, 0x32269391, 0x67cc9149, 0x321ec403,
-    0x67d667d5, 0x3216f287, 0x67e03cd8, 0x320f1f1c,
-    0x67ea1052, 0x320749c3, 0x67f3e241, 0x31ff727c,
-    0x67fdb2a7, 0x31f79948, 0x68078181, 0x31efbe27,
-    0x68114ed0, 0x31e7e118, 0x681b1a94, 0x31e0021e,
-    0x6824e4cc, 0x31d82137, 0x682ead78, 0x31d03e64,
-    0x68387498, 0x31c859a5, 0x68423a2a, 0x31c072fb,
-    0x684bfe2f, 0x31b88a66, 0x6855c0a6, 0x31b09fe7,
-    0x685f8190, 0x31a8b37c, 0x686940ea, 0x31a0c528,
-    0x6872feb6, 0x3198d4ea, 0x687cbaf3, 0x3190e2c3,
-    0x688675a0, 0x3188eeb2, 0x68902ebd, 0x3180f8b8,
-    0x6899e64a, 0x317900d6, 0x68a39c46, 0x3171070c,
-    0x68ad50b1, 0x31690b59, 0x68b7038b, 0x31610dbf,
-    0x68c0b4d2, 0x31590e3e, 0x68ca6488, 0x31510cd5,
-    0x68d412ab, 0x31490986, 0x68ddbf3b, 0x31410450,
-    0x68e76a37, 0x3138fd35, 0x68f113a0, 0x3130f433,
-    0x68fabb75, 0x3128e94c, 0x690461b5, 0x3120dc80,
-    0x690e0661, 0x3118cdcf, 0x6917a977, 0x3110bd39,
-    0x69214af8, 0x3108aabf, 0x692aeae3, 0x31009661,
-    0x69348937, 0x30f8801f, 0x693e25f5, 0x30f067fb,
-    0x6947c11c, 0x30e84df3, 0x69515aab, 0x30e03208,
-    0x695af2a3, 0x30d8143b, 0x69648902, 0x30cff48c,
-    0x696e1dc9, 0x30c7d2fb, 0x6977b0f7, 0x30bfaf89,
-    0x6981428c, 0x30b78a36, 0x698ad287, 0x30af6302,
-    0x699460e8, 0x30a739ed, 0x699dedaf, 0x309f0ef8,
-    0x69a778db, 0x3096e223, 0x69b1026c, 0x308eb36f,
-    0x69ba8a61, 0x308682dc, 0x69c410ba, 0x307e5069,
-    0x69cd9578, 0x30761c18, 0x69d71899, 0x306de5e9,
-    0x69e09a1c, 0x3065addb, 0x69ea1a03, 0x305d73f0,
-    0x69f3984c, 0x30553828, 0x69fd14f6, 0x304cfa83,
-    0x6a069003, 0x3044bb00, 0x6a100970, 0x303c79a2,
-    0x6a19813f, 0x30343667, 0x6a22f76e, 0x302bf151,
-    0x6a2c6bfd, 0x3023aa5f, 0x6a35deeb, 0x301b6193,
-    0x6a3f503a, 0x301316eb, 0x6a48bfe7, 0x300aca69,
-    0x6a522df3, 0x30027c0c, 0x6a5b9a5d, 0x2ffa2bd6,
-    0x6a650525, 0x2ff1d9c7, 0x6a6e6e4b, 0x2fe985de,
-    0x6a77d5ce, 0x2fe1301c, 0x6a813bae, 0x2fd8d882,
-    0x6a8a9fea, 0x2fd07f0f, 0x6a940283, 0x2fc823c5,
-    0x6a9d6377, 0x2fbfc6a3, 0x6aa6c2c6, 0x2fb767aa,
-    0x6ab02071, 0x2faf06da, 0x6ab97c77, 0x2fa6a433,
-    0x6ac2d6d6, 0x2f9e3fb6, 0x6acc2f90, 0x2f95d963,
-    0x6ad586a3, 0x2f8d713a, 0x6adedc10, 0x2f85073c,
-    0x6ae82fd5, 0x2f7c9b69, 0x6af181f3, 0x2f742dc1,
-    0x6afad269, 0x2f6bbe45, 0x6b042137, 0x2f634cf5,
-    0x6b0d6e5c, 0x2f5ad9d1, 0x6b16b9d9, 0x2f5264da,
-    0x6b2003ac, 0x2f49ee0f, 0x6b294bd5, 0x2f417573,
-    0x6b329255, 0x2f38fb03, 0x6b3bd72a, 0x2f307ec2,
-    0x6b451a55, 0x2f2800af, 0x6b4e5bd4, 0x2f1f80ca,
-    0x6b579ba8, 0x2f16ff14, 0x6b60d9d0, 0x2f0e7b8e,
-    0x6b6a164d, 0x2f05f637, 0x6b73511c, 0x2efd6f10,
-    0x6b7c8a3f, 0x2ef4e619, 0x6b85c1b5, 0x2eec5b53,
-    0x6b8ef77d, 0x2ee3cebe, 0x6b982b97, 0x2edb405a,
-    0x6ba15e03, 0x2ed2b027, 0x6baa8ec0, 0x2eca1e27,
-    0x6bb3bdce, 0x2ec18a58, 0x6bbceb2d, 0x2eb8f4bc,
-    0x6bc616dd, 0x2eb05d53, 0x6bcf40dc, 0x2ea7c41e,
-    0x6bd8692b, 0x2e9f291b, 0x6be18fc9, 0x2e968c4d,
-    0x6beab4b6, 0x2e8dedb3, 0x6bf3d7f2, 0x2e854d4d,
-    0x6bfcf97c, 0x2e7cab1c, 0x6c061953, 0x2e740720,
-    0x6c0f3779, 0x2e6b615a, 0x6c1853eb, 0x2e62b9ca,
-    0x6c216eaa, 0x2e5a1070, 0x6c2a87b6, 0x2e51654c,
-    0x6c339f0e, 0x2e48b860, 0x6c3cb4b1, 0x2e4009aa,
-    0x6c45c8a0, 0x2e37592c, 0x6c4edada, 0x2e2ea6e6,
-    0x6c57eb5e, 0x2e25f2d8, 0x6c60fa2d, 0x2e1d3d03,
-    0x6c6a0746, 0x2e148566, 0x6c7312a9, 0x2e0bcc03,
-    0x6c7c1c55, 0x2e0310d9, 0x6c85244a, 0x2dfa53e9,
-    0x6c8e2a87, 0x2df19534, 0x6c972f0d, 0x2de8d4b8,
-    0x6ca031da, 0x2de01278, 0x6ca932ef, 0x2dd74e73,
-    0x6cb2324c, 0x2dce88aa, 0x6cbb2fef, 0x2dc5c11c,
-    0x6cc42bd9, 0x2dbcf7cb, 0x6ccd2609, 0x2db42cb6,
-    0x6cd61e7f, 0x2dab5fdf, 0x6cdf153a, 0x2da29144,
-    0x6ce80a3a, 0x2d99c0e7, 0x6cf0fd80, 0x2d90eec8,
-    0x6cf9ef09, 0x2d881ae8, 0x6d02ded7, 0x2d7f4545,
-    0x6d0bcce8, 0x2d766de2, 0x6d14b93d, 0x2d6d94bf,
-    0x6d1da3d5, 0x2d64b9da, 0x6d268cb0, 0x2d5bdd36,
-    0x6d2f73cd, 0x2d52fed2, 0x6d38592c, 0x2d4a1eaf,
-    0x6d413ccd, 0x2d413ccd, 0x6d4a1eaf, 0x2d38592c,
-    0x6d52fed2, 0x2d2f73cd, 0x6d5bdd36, 0x2d268cb0,
-    0x6d64b9da, 0x2d1da3d5, 0x6d6d94bf, 0x2d14b93d,
-    0x6d766de2, 0x2d0bcce8, 0x6d7f4545, 0x2d02ded7,
-    0x6d881ae8, 0x2cf9ef09, 0x6d90eec8, 0x2cf0fd80,
-    0x6d99c0e7, 0x2ce80a3a, 0x6da29144, 0x2cdf153a,
-    0x6dab5fdf, 0x2cd61e7f, 0x6db42cb6, 0x2ccd2609,
-    0x6dbcf7cb, 0x2cc42bd9, 0x6dc5c11c, 0x2cbb2fef,
-    0x6dce88aa, 0x2cb2324c, 0x6dd74e73, 0x2ca932ef,
-    0x6de01278, 0x2ca031da, 0x6de8d4b8, 0x2c972f0d,
-    0x6df19534, 0x2c8e2a87, 0x6dfa53e9, 0x2c85244a,
-    0x6e0310d9, 0x2c7c1c55, 0x6e0bcc03, 0x2c7312a9,
-    0x6e148566, 0x2c6a0746, 0x6e1d3d03, 0x2c60fa2d,
-    0x6e25f2d8, 0x2c57eb5e, 0x6e2ea6e6, 0x2c4edada,
-    0x6e37592c, 0x2c45c8a0, 0x6e4009aa, 0x2c3cb4b1,
-    0x6e48b860, 0x2c339f0e, 0x6e51654c, 0x2c2a87b6,
-    0x6e5a1070, 0x2c216eaa, 0x6e62b9ca, 0x2c1853eb,
-    0x6e6b615a, 0x2c0f3779, 0x6e740720, 0x2c061953,
-    0x6e7cab1c, 0x2bfcf97c, 0x6e854d4d, 0x2bf3d7f2,
-    0x6e8dedb3, 0x2beab4b6, 0x6e968c4d, 0x2be18fc9,
-    0x6e9f291b, 0x2bd8692b, 0x6ea7c41e, 0x2bcf40dc,
-    0x6eb05d53, 0x2bc616dd, 0x6eb8f4bc, 0x2bbceb2d,
-    0x6ec18a58, 0x2bb3bdce, 0x6eca1e27, 0x2baa8ec0,
-    0x6ed2b027, 0x2ba15e03, 0x6edb405a, 0x2b982b97,
-    0x6ee3cebe, 0x2b8ef77d, 0x6eec5b53, 0x2b85c1b5,
-    0x6ef4e619, 0x2b7c8a3f, 0x6efd6f10, 0x2b73511c,
-    0x6f05f637, 0x2b6a164d, 0x6f0e7b8e, 0x2b60d9d0,
-    0x6f16ff14, 0x2b579ba8, 0x6f1f80ca, 0x2b4e5bd4,
-    0x6f2800af, 0x2b451a55, 0x6f307ec2, 0x2b3bd72a,
-    0x6f38fb03, 0x2b329255, 0x6f417573, 0x2b294bd5,
-    0x6f49ee0f, 0x2b2003ac, 0x6f5264da, 0x2b16b9d9,
-    0x6f5ad9d1, 0x2b0d6e5c, 0x6f634cf5, 0x2b042137,
-    0x6f6bbe45, 0x2afad269, 0x6f742dc1, 0x2af181f3,
-    0x6f7c9b69, 0x2ae82fd5, 0x6f85073c, 0x2adedc10,
-    0x6f8d713a, 0x2ad586a3, 0x6f95d963, 0x2acc2f90,
-    0x6f9e3fb6, 0x2ac2d6d6, 0x6fa6a433, 0x2ab97c77,
-    0x6faf06da, 0x2ab02071, 0x6fb767aa, 0x2aa6c2c6,
-    0x6fbfc6a3, 0x2a9d6377, 0x6fc823c5, 0x2a940283,
-    0x6fd07f0f, 0x2a8a9fea, 0x6fd8d882, 0x2a813bae,
-    0x6fe1301c, 0x2a77d5ce, 0x6fe985de, 0x2a6e6e4b,
-    0x6ff1d9c7, 0x2a650525, 0x6ffa2bd6, 0x2a5b9a5d,
-    0x70027c0c, 0x2a522df3, 0x700aca69, 0x2a48bfe7,
-    0x701316eb, 0x2a3f503a, 0x701b6193, 0x2a35deeb,
-    0x7023aa5f, 0x2a2c6bfd, 0x702bf151, 0x2a22f76e,
-    0x70343667, 0x2a19813f, 0x703c79a2, 0x2a100970,
-    0x7044bb00, 0x2a069003, 0x704cfa83, 0x29fd14f6,
-    0x70553828, 0x29f3984c, 0x705d73f0, 0x29ea1a03,
-    0x7065addb, 0x29e09a1c, 0x706de5e9, 0x29d71899,
-    0x70761c18, 0x29cd9578, 0x707e5069, 0x29c410ba,
-    0x708682dc, 0x29ba8a61, 0x708eb36f, 0x29b1026c,
-    0x7096e223, 0x29a778db, 0x709f0ef8, 0x299dedaf,
-    0x70a739ed, 0x299460e8, 0x70af6302, 0x298ad287,
-    0x70b78a36, 0x2981428c, 0x70bfaf89, 0x2977b0f7,
-    0x70c7d2fb, 0x296e1dc9, 0x70cff48c, 0x29648902,
-    0x70d8143b, 0x295af2a3, 0x70e03208, 0x29515aab,
-    0x70e84df3, 0x2947c11c, 0x70f067fb, 0x293e25f5,
-    0x70f8801f, 0x29348937, 0x71009661, 0x292aeae3,
-    0x7108aabf, 0x29214af8, 0x7110bd39, 0x2917a977,
-    0x7118cdcf, 0x290e0661, 0x7120dc80, 0x290461b5,
-    0x7128e94c, 0x28fabb75, 0x7130f433, 0x28f113a0,
-    0x7138fd35, 0x28e76a37, 0x71410450, 0x28ddbf3b,
-    0x71490986, 0x28d412ab, 0x71510cd5, 0x28ca6488,
-    0x71590e3e, 0x28c0b4d2, 0x71610dbf, 0x28b7038b,
-    0x71690b59, 0x28ad50b1, 0x7171070c, 0x28a39c46,
-    0x717900d6, 0x2899e64a, 0x7180f8b8, 0x28902ebd,
-    0x7188eeb2, 0x288675a0, 0x7190e2c3, 0x287cbaf3,
-    0x7198d4ea, 0x2872feb6, 0x71a0c528, 0x286940ea,
-    0x71a8b37c, 0x285f8190, 0x71b09fe7, 0x2855c0a6,
-    0x71b88a66, 0x284bfe2f, 0x71c072fb, 0x28423a2a,
-    0x71c859a5, 0x28387498, 0x71d03e64, 0x282ead78,
-    0x71d82137, 0x2824e4cc, 0x71e0021e, 0x281b1a94,
-    0x71e7e118, 0x28114ed0, 0x71efbe27, 0x28078181,
-    0x71f79948, 0x27fdb2a7, 0x71ff727c, 0x27f3e241,
-    0x720749c3, 0x27ea1052, 0x720f1f1c, 0x27e03cd8,
-    0x7216f287, 0x27d667d5, 0x721ec403, 0x27cc9149,
-    0x72269391, 0x27c2b934, 0x722e6130, 0x27b8df97,
-    0x72362ce0, 0x27af0472, 0x723df6a0, 0x27a527c4,
-    0x7245be70, 0x279b4990, 0x724d8450, 0x279169d5,
-    0x72554840, 0x27878893, 0x725d0a3e, 0x277da5cb,
-    0x7264ca4c, 0x2773c17d, 0x726c8868, 0x2769dbaa,
-    0x72744493, 0x275ff452, 0x727bfecc, 0x27560b76,
-    0x7283b712, 0x274c2115, 0x728b6d66, 0x27423530,
-    0x729321c7, 0x273847c8, 0x729ad435, 0x272e58dc,
-    0x72a284b0, 0x2724686e, 0x72aa3336, 0x271a767e,
-    0x72b1dfc9, 0x2710830c, 0x72b98a67, 0x27068e18,
-    0x72c13311, 0x26fc97a3, 0x72c8d9c6, 0x26f29fad,
-    0x72d07e85, 0x26e8a637, 0x72d82150, 0x26deab41,
-    0x72dfc224, 0x26d4aecb, 0x72e76102, 0x26cab0d6,
-    0x72eefdea, 0x26c0b162, 0x72f698db, 0x26b6b070,
-    0x72fe31d5, 0x26acadff, 0x7305c8d7, 0x26a2aa11,
-    0x730d5de3, 0x2698a4a6, 0x7314f0f6, 0x268e9dbd,
-    0x731c8211, 0x26849558, 0x73241134, 0x267a8b77,
-    0x732b9e5e, 0x2670801a, 0x7333298f, 0x26667342,
-    0x733ab2c6, 0x265c64ef, 0x73423a04, 0x26525521,
-    0x7349bf48, 0x264843d9, 0x73514292, 0x263e3117,
-    0x7358c3e2, 0x26341cdb, 0x73604336, 0x262a0727,
-    0x7367c090, 0x261feffa, 0x736f3bee, 0x2615d754,
-    0x7376b551, 0x260bbd37, 0x737e2cb7, 0x2601a1a2,
-    0x7385a222, 0x25f78497, 0x738d1590, 0x25ed6614,
-    0x73948701, 0x25e3461b, 0x739bf675, 0x25d924ac,
-    0x73a363ec, 0x25cf01c8, 0x73aacf65, 0x25c4dd6e,
-    0x73b238e0, 0x25bab7a0, 0x73b9a05d, 0x25b0905d,
-    0x73c105db, 0x25a667a7, 0x73c8695b, 0x259c3d7c,
-    0x73cfcadc, 0x259211df, 0x73d72a5d, 0x2587e4cf,
-    0x73de87de, 0x257db64c, 0x73e5e360, 0x25738657,
-    0x73ed3ce1, 0x256954f1, 0x73f49462, 0x255f2219,
-    0x73fbe9e2, 0x2554edd1, 0x74033d61, 0x254ab818,
-    0x740a8edf, 0x254080ef, 0x7411de5b, 0x25364857,
-    0x74192bd5, 0x252c0e4f, 0x7420774d, 0x2521d2d8,
-    0x7427c0c3, 0x251795f3, 0x742f0836, 0x250d57a0,
-    0x74364da6, 0x250317df, 0x743d9112, 0x24f8d6b0,
-    0x7444d27b, 0x24ee9415, 0x744c11e0, 0x24e4500e,
-    0x74534f41, 0x24da0a9a, 0x745a8a9d, 0x24cfc3ba,
-    0x7461c3f5, 0x24c57b6f, 0x7468fb47, 0x24bb31ba,
-    0x74703095, 0x24b0e699, 0x747763dd, 0x24a69a0f,
-    0x747e951f, 0x249c4c1b, 0x7485c45b, 0x2491fcbe,
-    0x748cf190, 0x2487abf7, 0x74941cbf, 0x247d59c8,
-    0x749b45e7, 0x24730631, 0x74a26d08, 0x2468b132,
-    0x74a99221, 0x245e5acc, 0x74b0b533, 0x245402ff,
-    0x74b7d63c, 0x2449a9cc, 0x74bef53d, 0x243f4f32,
-    0x74c61236, 0x2434f332, 0x74cd2d26, 0x242a95ce,
-    0x74d4460c, 0x24203704, 0x74db5cea, 0x2415d6d5,
-    0x74e271bd, 0x240b7543, 0x74e98487, 0x2401124d,
-    0x74f09546, 0x23f6adf3, 0x74f7a3fb, 0x23ec4837,
-    0x74feb0a5, 0x23e1e117, 0x7505bb44, 0x23d77896,
-    0x750cc3d8, 0x23cd0eb3, 0x7513ca60, 0x23c2a36f,
-    0x751acedd, 0x23b836ca, 0x7521d14d, 0x23adc8c4,
-    0x7528d1b1, 0x23a3595e, 0x752fd008, 0x2398e898,
-    0x7536cc52, 0x238e7673, 0x753dc68f, 0x238402ef,
-    0x7544bebf, 0x23798e0d, 0x754bb4e1, 0x236f17cc,
-    0x7552a8f4, 0x2364a02e, 0x75599afa, 0x235a2733,
-    0x75608af1, 0x234facda, 0x756778d9, 0x23453125,
-    0x756e64b2, 0x233ab414, 0x75754e7c, 0x233035a7,
-    0x757c3636, 0x2325b5df, 0x75831be0, 0x231b34bc,
-    0x7589ff7a, 0x2310b23e, 0x7590e104, 0x23062e67,
-    0x7597c07d, 0x22fba936, 0x759e9de5, 0x22f122ab,
-    0x75a5793c, 0x22e69ac8, 0x75ac5282, 0x22dc118c,
-    0x75b329b5, 0x22d186f8, 0x75b9fed7, 0x22c6fb0c,
-    0x75c0d1e7, 0x22bc6dca, 0x75c7a2e3, 0x22b1df30,
-    0x75ce71ce, 0x22a74f40, 0x75d53ea5, 0x229cbdfa,
-    0x75dc0968, 0x22922b5e, 0x75e2d219, 0x2287976e,
-    0x75e998b5, 0x227d0228, 0x75f05d3d, 0x22726b8e,
-    0x75f71fb1, 0x2267d3a0, 0x75fde011, 0x225d3a5e,
-    0x76049e5b, 0x22529fca, 0x760b5a90, 0x224803e2,
-    0x761214b0, 0x223d66a8, 0x7618ccba, 0x2232c81c,
-    0x761f82af, 0x2228283f, 0x7626368d, 0x221d8711,
-    0x762ce855, 0x2212e492, 0x76339806, 0x220840c2,
-    0x763a45a0, 0x21fd9ba3, 0x7640f123, 0x21f2f534,
-    0x76479a8e, 0x21e84d76, 0x764e41e2, 0x21dda46a,
-    0x7654e71d, 0x21d2fa0f, 0x765b8a41, 0x21c84e67,
-    0x76622b4c, 0x21bda171, 0x7668ca3e, 0x21b2f32e,
-    0x766f6717, 0x21a8439e, 0x767601d7, 0x219d92c2,
-    0x767c9a7e, 0x2192e09b, 0x7683310b, 0x21882d28,
-    0x7689c57d, 0x217d786a, 0x769057d6, 0x2172c262,
-    0x7696e814, 0x21680b0f, 0x769d7637, 0x215d5273,
-    0x76a4023f, 0x2152988d, 0x76aa8c2c, 0x2147dd5f,
-    0x76b113fd, 0x213d20e8, 0x76b799b3, 0x21326329,
-    0x76be1d4c, 0x2127a423, 0x76c49ec9, 0x211ce3d5,
-    0x76cb1e2a, 0x21122240, 0x76d19b6e, 0x21075f65,
-    0x76d81695, 0x20fc9b44, 0x76de8f9e, 0x20f1d5de,
-    0x76e5068a, 0x20e70f32, 0x76eb7b58, 0x20dc4742,
-    0x76f1ee09, 0x20d17e0d, 0x76f85e9a, 0x20c6b395,
-    0x76fecd0e, 0x20bbe7d8, 0x77053962, 0x20b11ad9,
-    0x770ba398, 0x20a64c97, 0x77120bae, 0x209b7d13,
-    0x771871a5, 0x2090ac4d, 0x771ed57c, 0x2085da46,
-    0x77253733, 0x207b06fe, 0x772b96ca, 0x20703275,
-    0x7731f440, 0x20655cac, 0x77384f95, 0x205a85a3,
-    0x773ea8ca, 0x204fad5b, 0x7744ffdd, 0x2044d3d4,
-    0x774b54ce, 0x2039f90f, 0x7751a79e, 0x202f1d0b,
-    0x7757f84c, 0x20243fca, 0x775e46d8, 0x2019614c,
-    0x77649341, 0x200e8190, 0x776add88, 0x2003a099,
-    0x777125ac, 0x1ff8be65, 0x77776bac, 0x1feddaf6,
-    0x777daf89, 0x1fe2f64c, 0x7783f143, 0x1fd81067,
-    0x778a30d8, 0x1fcd2948, 0x77906e49, 0x1fc240ef,
-    0x7796a996, 0x1fb7575c, 0x779ce2be, 0x1fac6c91,
-    0x77a319c2, 0x1fa1808c, 0x77a94ea0, 0x1f969350,
-    0x77af8159, 0x1f8ba4dc, 0x77b5b1ec, 0x1f80b531,
-    0x77bbe05a, 0x1f75c44e, 0x77c20ca1, 0x1f6ad235,
-    0x77c836c2, 0x1f5fdee6, 0x77ce5ebd, 0x1f54ea62,
-    0x77d48490, 0x1f49f4a8, 0x77daa83d, 0x1f3efdb9,
-    0x77e0c9c3, 0x1f340596, 0x77e6e921, 0x1f290c3f,
-    0x77ed0657, 0x1f1e11b5, 0x77f32165, 0x1f1315f7,
-    0x77f93a4b, 0x1f081907, 0x77ff5109, 0x1efd1ae4,
-    0x7805659e, 0x1ef21b90, 0x780b780a, 0x1ee71b0a,
-    0x7811884d, 0x1edc1953, 0x78179666, 0x1ed1166b,
-    0x781da256, 0x1ec61254, 0x7823ac1d, 0x1ebb0d0d,
-    0x7829b3b9, 0x1eb00696, 0x782fb92a, 0x1ea4fef0,
-    0x7835bc71, 0x1e99f61d, 0x783bbd8e, 0x1e8eec1b,
-    0x7841bc7f, 0x1e83e0eb, 0x7847b946, 0x1e78d48e,
-    0x784db3e0, 0x1e6dc705, 0x7853ac4f, 0x1e62b84f,
-    0x7859a292, 0x1e57a86d, 0x785f96a9, 0x1e4c9760,
-    0x78658894, 0x1e418528, 0x786b7852, 0x1e3671c5,
-    0x787165e3, 0x1e2b5d38, 0x78775147, 0x1e204781,
-    0x787d3a7e, 0x1e1530a1, 0x78832187, 0x1e0a1898,
-    0x78890663, 0x1dfeff67, 0x788ee910, 0x1df3e50d,
-    0x7894c98f, 0x1de8c98c, 0x789aa7e0, 0x1dddace4,
-    0x78a08402, 0x1dd28f15, 0x78a65df6, 0x1dc7701f,
-    0x78ac35ba, 0x1dbc5004, 0x78b20b4f, 0x1db12ec3,
-    0x78b7deb4, 0x1da60c5d, 0x78bdafea, 0x1d9ae8d2,
-    0x78c37eef, 0x1d8fc424, 0x78c94bc4, 0x1d849e51,
-    0x78cf1669, 0x1d79775c, 0x78d4dedd, 0x1d6e4f43,
-    0x78daa520, 0x1d632608, 0x78e06932, 0x1d57fbaa,
-    0x78e62b13, 0x1d4cd02c, 0x78ebeac2, 0x1d41a38c,
-    0x78f1a840, 0x1d3675cb, 0x78f7638b, 0x1d2b46ea,
-    0x78fd1ca4, 0x1d2016e9, 0x7902d38b, 0x1d14e5c9,
-    0x7908883f, 0x1d09b389, 0x790e3ac0, 0x1cfe802b,
-    0x7913eb0e, 0x1cf34baf, 0x79199929, 0x1ce81615,
-    0x791f4510, 0x1cdcdf5e, 0x7924eec3, 0x1cd1a78a,
-    0x792a9642, 0x1cc66e99, 0x79303b8e, 0x1cbb348d,
-    0x7935dea4, 0x1caff965, 0x793b7f86, 0x1ca4bd21,
-    0x79411e33, 0x1c997fc4, 0x7946baac, 0x1c8e414b,
-    0x794c54ee, 0x1c8301b9, 0x7951ecfc, 0x1c77c10e,
-    0x795782d3, 0x1c6c7f4a, 0x795d1675, 0x1c613c6d,
-    0x7962a7e0, 0x1c55f878, 0x79683715, 0x1c4ab36b,
-    0x796dc414, 0x1c3f6d47, 0x79734edc, 0x1c34260c,
-    0x7978d76c, 0x1c28ddbb, 0x797e5dc6, 0x1c1d9454,
-    0x7983e1e8, 0x1c1249d8, 0x798963d2, 0x1c06fe46,
-    0x798ee385, 0x1bfbb1a0, 0x799460ff, 0x1bf063e6,
-    0x7999dc42, 0x1be51518, 0x799f554b, 0x1bd9c537,
-    0x79a4cc1c, 0x1bce7442, 0x79aa40b4, 0x1bc3223c,
-    0x79afb313, 0x1bb7cf23, 0x79b52339, 0x1bac7af9,
-    0x79ba9125, 0x1ba125bd, 0x79bffcd7, 0x1b95cf71,
-    0x79c5664f, 0x1b8a7815, 0x79cacd8d, 0x1b7f1fa9,
-    0x79d03291, 0x1b73c62d, 0x79d5955a, 0x1b686ba3,
-    0x79daf5e8, 0x1b5d100a, 0x79e0543c, 0x1b51b363,
-    0x79e5b054, 0x1b4655ae, 0x79eb0a31, 0x1b3af6ec,
-    0x79f061d2, 0x1b2f971e, 0x79f5b737, 0x1b243643,
-    0x79fb0a60, 0x1b18d45c, 0x7a005b4d, 0x1b0d716a,
-    0x7a05a9fd, 0x1b020d6c, 0x7a0af671, 0x1af6a865,
-    0x7a1040a8, 0x1aeb4253, 0x7a1588a2, 0x1adfdb37,
-    0x7a1ace5f, 0x1ad47312, 0x7a2011de, 0x1ac909e5,
-    0x7a25531f, 0x1abd9faf, 0x7a2a9223, 0x1ab23471,
-    0x7a2fcee8, 0x1aa6c82b, 0x7a350970, 0x1a9b5adf,
-    0x7a3a41b9, 0x1a8fec8c, 0x7a3f77c3, 0x1a847d33,
-    0x7a44ab8e, 0x1a790cd4, 0x7a49dd1a, 0x1a6d9b70,
-    0x7a4f0c67, 0x1a622907, 0x7a543974, 0x1a56b599,
-    0x7a596442, 0x1a4b4128, 0x7a5e8cd0, 0x1a3fcbb3,
-    0x7a63b31d, 0x1a34553b, 0x7a68d72b, 0x1a28ddc0,
-    0x7a6df8f8, 0x1a1d6544, 0x7a731884, 0x1a11ebc5,
-    0x7a7835cf, 0x1a067145, 0x7a7d50da, 0x19faf5c5,
-    0x7a8269a3, 0x19ef7944, 0x7a87802a, 0x19e3fbc3,
-    0x7a8c9470, 0x19d87d42, 0x7a91a674, 0x19ccfdc2,
-    0x7a96b636, 0x19c17d44, 0x7a9bc3b6, 0x19b5fbc8,
-    0x7aa0cef3, 0x19aa794d, 0x7aa5d7ee, 0x199ef5d6,
-    0x7aaadea6, 0x19937161, 0x7aafe31b, 0x1987ebf0,
-    0x7ab4e54c, 0x197c6584, 0x7ab9e53a, 0x1970de1b,
-    0x7abee2e5, 0x196555b8, 0x7ac3de4c, 0x1959cc5a,
-    0x7ac8d76f, 0x194e4201, 0x7acdce4d, 0x1942b6af,
-    0x7ad2c2e8, 0x19372a64, 0x7ad7b53d, 0x192b9d1f,
-    0x7adca54e, 0x19200ee3, 0x7ae1931a, 0x19147fae,
-    0x7ae67ea1, 0x1908ef82, 0x7aeb67e3, 0x18fd5e5f,
-    0x7af04edf, 0x18f1cc45, 0x7af53395, 0x18e63935,
-    0x7afa1605, 0x18daa52f, 0x7afef630, 0x18cf1034,
-    0x7b03d414, 0x18c37a44, 0x7b08afb2, 0x18b7e35f,
-    0x7b0d8909, 0x18ac4b87, 0x7b126019, 0x18a0b2bb,
-    0x7b1734e2, 0x189518fc, 0x7b1c0764, 0x18897e4a,
-    0x7b20d79e, 0x187de2a7, 0x7b25a591, 0x18724611,
-    0x7b2a713d, 0x1866a88a, 0x7b2f3aa0, 0x185b0a13,
-    0x7b3401bb, 0x184f6aab, 0x7b38c68e, 0x1843ca53,
-    0x7b3d8918, 0x1838290c, 0x7b42495a, 0x182c86d5,
-    0x7b470753, 0x1820e3b0, 0x7b4bc303, 0x18153f9d,
-    0x7b507c69, 0x18099a9c, 0x7b553386, 0x17fdf4ae,
-    0x7b59e85a, 0x17f24dd3, 0x7b5e9ae4, 0x17e6a60c,
-    0x7b634b23, 0x17dafd59, 0x7b67f919, 0x17cf53bb,
-    0x7b6ca4c4, 0x17c3a931, 0x7b714e25, 0x17b7fdbd,
-    0x7b75f53c, 0x17ac515f, 0x7b7a9a07, 0x17a0a417,
-    0x7b7f3c87, 0x1794f5e6, 0x7b83dcbc, 0x178946cc,
-    0x7b887aa6, 0x177d96ca, 0x7b8d1644, 0x1771e5e0,
-    0x7b91af97, 0x1766340f, 0x7b96469d, 0x175a8157,
-    0x7b9adb57, 0x174ecdb8, 0x7b9f6dc5, 0x17431933,
-    0x7ba3fde7, 0x173763c9, 0x7ba88bbc, 0x172bad7a,
-    0x7bad1744, 0x171ff646, 0x7bb1a080, 0x17143e2d,
-    0x7bb6276e, 0x17088531, 0x7bbaac0e, 0x16fccb51,
-    0x7bbf2e62, 0x16f1108f, 0x7bc3ae67, 0x16e554ea,
-    0x7bc82c1f, 0x16d99864, 0x7bcca789, 0x16cddafb,
-    0x7bd120a4, 0x16c21cb2, 0x7bd59771, 0x16b65d88,
-    0x7bda0bf0, 0x16aa9d7e, 0x7bde7e20, 0x169edc94,
-    0x7be2ee01, 0x16931acb, 0x7be75b93, 0x16875823,
-    0x7bebc6d5, 0x167b949d, 0x7bf02fc9, 0x166fd039,
-    0x7bf4966c, 0x16640af7, 0x7bf8fac0, 0x165844d8,
-    0x7bfd5cc4, 0x164c7ddd, 0x7c01bc78, 0x1640b606,
-    0x7c0619dc, 0x1634ed53, 0x7c0a74f0, 0x162923c5,
-    0x7c0ecdb2, 0x161d595d, 0x7c132424, 0x16118e1a,
-    0x7c177845, 0x1605c1fd, 0x7c1bca16, 0x15f9f507,
-    0x7c201994, 0x15ee2738, 0x7c2466c2, 0x15e25890,
-    0x7c28b19e, 0x15d68911, 0x7c2cfa28, 0x15cab8ba,
-    0x7c314060, 0x15bee78c, 0x7c358446, 0x15b31587,
-    0x7c39c5da, 0x15a742ac, 0x7c3e051b, 0x159b6efb,
-    0x7c42420a, 0x158f9a76, 0x7c467ca6, 0x1583c51b,
-    0x7c4ab4ef, 0x1577eeec, 0x7c4eeae5, 0x156c17e9,
-    0x7c531e88, 0x15604013, 0x7c574fd8, 0x1554676a,
-    0x7c5b7ed4, 0x15488dee, 0x7c5fab7c, 0x153cb3a0,
-    0x7c63d5d1, 0x1530d881, 0x7c67fdd1, 0x1524fc90,
-    0x7c6c237e, 0x15191fcf, 0x7c7046d6, 0x150d423d,
-    0x7c7467d9, 0x150163dc, 0x7c788688, 0x14f584ac,
-    0x7c7ca2e2, 0x14e9a4ac, 0x7c80bce7, 0x14ddc3de,
-    0x7c84d496, 0x14d1e242, 0x7c88e9f1, 0x14c5ffd9,
-    0x7c8cfcf6, 0x14ba1ca3, 0x7c910da5, 0x14ae38a0,
-    0x7c951bff, 0x14a253d1, 0x7c992803, 0x14966e36,
-    0x7c9d31b0, 0x148a87d1, 0x7ca13908, 0x147ea0a0,
-    0x7ca53e09, 0x1472b8a5, 0x7ca940b3, 0x1466cfe1,
-    0x7cad4107, 0x145ae653, 0x7cb13f04, 0x144efbfc,
-    0x7cb53aaa, 0x144310dd, 0x7cb933f9, 0x143724f5,
-    0x7cbd2af0, 0x142b3846, 0x7cc11f90, 0x141f4ad1,
-    0x7cc511d9, 0x14135c94, 0x7cc901c9, 0x14076d91,
-    0x7cccef62, 0x13fb7dc9, 0x7cd0daa2, 0x13ef8d3c,
-    0x7cd4c38b, 0x13e39be9, 0x7cd8aa1b, 0x13d7a9d3,
-    0x7cdc8e52, 0x13cbb6f8, 0x7ce07031, 0x13bfc35b,
-    0x7ce44fb7, 0x13b3cefa, 0x7ce82ce4, 0x13a7d9d7,
-    0x7cec07b8, 0x139be3f2, 0x7cefe032, 0x138fed4b,
-    0x7cf3b653, 0x1383f5e3, 0x7cf78a1b, 0x1377fdbb,
-    0x7cfb5b89, 0x136c04d2, 0x7cff2a9d, 0x13600b2a,
-    0x7d02f757, 0x135410c3, 0x7d06c1b6, 0x1348159d,
-    0x7d0a89bc, 0x133c19b8, 0x7d0e4f67, 0x13301d16,
-    0x7d1212b7, 0x13241fb6, 0x7d15d3ad, 0x1318219a,
-    0x7d199248, 0x130c22c1, 0x7d1d4e88, 0x1300232c,
-    0x7d21086c, 0x12f422db, 0x7d24bff6, 0x12e821cf,
-    0x7d287523, 0x12dc2009, 0x7d2c27f6, 0x12d01d89,
-    0x7d2fd86c, 0x12c41a4f, 0x7d338687, 0x12b8165b,
-    0x7d373245, 0x12ac11af, 0x7d3adba7, 0x12a00c4b,
-    0x7d3e82ae, 0x1294062f, 0x7d422757, 0x1287ff5b,
-    0x7d45c9a4, 0x127bf7d1, 0x7d496994, 0x126fef90,
-    0x7d4d0728, 0x1263e699, 0x7d50a25e, 0x1257dced,
-    0x7d543b37, 0x124bd28c, 0x7d57d1b3, 0x123fc776,
-    0x7d5b65d2, 0x1233bbac, 0x7d5ef793, 0x1227af2e,
-    0x7d6286f6, 0x121ba1fd, 0x7d6613fb, 0x120f941a,
-    0x7d699ea3, 0x12038584, 0x7d6d26ec, 0x11f7763c,
-    0x7d70acd7, 0x11eb6643, 0x7d743064, 0x11df5599,
-    0x7d77b192, 0x11d3443f, 0x7d7b3061, 0x11c73235,
-    0x7d7eacd2, 0x11bb1f7c, 0x7d8226e4, 0x11af0c13,
-    0x7d859e96, 0x11a2f7fc, 0x7d8913ea, 0x1196e337,
-    0x7d8c86de, 0x118acdc4, 0x7d8ff772, 0x117eb7a4,
-    0x7d9365a8, 0x1172a0d7, 0x7d96d17d, 0x1166895f,
-    0x7d9a3af2, 0x115a713a, 0x7d9da208, 0x114e586a,
-    0x7da106bd, 0x11423ef0, 0x7da46912, 0x113624cb,
-    0x7da7c907, 0x112a09fc, 0x7dab269b, 0x111dee84,
-    0x7dae81cf, 0x1111d263, 0x7db1daa2, 0x1105b599,
-    0x7db53113, 0x10f99827, 0x7db88524, 0x10ed7a0e,
-    0x7dbbd6d4, 0x10e15b4e, 0x7dbf2622, 0x10d53be7,
-    0x7dc2730f, 0x10c91bda, 0x7dc5bd9b, 0x10bcfb28,
-    0x7dc905c5, 0x10b0d9d0, 0x7dcc4b8d, 0x10a4b7d3,
-    0x7dcf8ef3, 0x10989532, 0x7dd2cff7, 0x108c71ee,
-    0x7dd60e99, 0x10804e06, 0x7dd94ad8, 0x1074297b,
-    0x7ddc84b5, 0x1068044e, 0x7ddfbc30, 0x105bde7f,
-    0x7de2f148, 0x104fb80e, 0x7de623fd, 0x104390fd,
-    0x7de9544f, 0x1037694b, 0x7dec823e, 0x102b40f8,
-    0x7defadca, 0x101f1807, 0x7df2d6f3, 0x1012ee76,
-    0x7df5fdb8, 0x1006c446, 0x7df9221a, 0xffa9979,
-    0x7dfc4418, 0xfee6e0d, 0x7dff63b2, 0xfe24205,
-    0x7e0280e9, 0xfd6155f, 0x7e059bbb, 0xfc9e81e,
-    0x7e08b42a, 0xfbdba40, 0x7e0bca34, 0xfb18bc8,
-    0x7e0eddd9, 0xfa55cb4, 0x7e11ef1b, 0xf992d06,
-    0x7e14fdf7, 0xf8cfcbe, 0x7e180a6f, 0xf80cbdc,
-    0x7e1b1482, 0xf749a61, 0x7e1e1c30, 0xf68684e,
-    0x7e212179, 0xf5c35a3, 0x7e24245d, 0xf500260,
-    0x7e2724db, 0xf43ce86, 0x7e2a22f4, 0xf379a16,
-    0x7e2d1ea8, 0xf2b650f, 0x7e3017f6, 0xf1f2f73,
-    0x7e330ede, 0xf12f941, 0x7e360360, 0xf06c27a,
-    0x7e38f57c, 0xefa8b20, 0x7e3be532, 0xeee5331,
-    0x7e3ed282, 0xee21aaf, 0x7e41bd6c, 0xed5e19a,
-    0x7e44a5ef, 0xec9a7f3, 0x7e478c0b, 0xebd6db9,
-    0x7e4a6fc1, 0xeb132ef, 0x7e4d5110, 0xea4f793,
-    0x7e502ff9, 0xe98bba7, 0x7e530c7a, 0xe8c7f2a,
-    0x7e55e694, 0xe80421e, 0x7e58be47, 0xe740483,
-    0x7e5b9392, 0xe67c65a, 0x7e5e6676, 0xe5b87a2,
-    0x7e6136f3, 0xe4f485c, 0x7e640507, 0xe430889,
-    0x7e66d0b4, 0xe36c82a, 0x7e6999fa, 0xe2a873e,
-    0x7e6c60d7, 0xe1e45c6, 0x7e6f254c, 0xe1203c3,
-    0x7e71e759, 0xe05c135, 0x7e74a6fd, 0xdf97e1d,
-    0x7e77643a, 0xded3a7b, 0x7e7a1f0d, 0xde0f64f,
-    0x7e7cd778, 0xdd4b19a, 0x7e7f8d7b, 0xdc86c5d,
-    0x7e824114, 0xdbc2698, 0x7e84f245, 0xdafe04b,
-    0x7e87a10c, 0xda39978, 0x7e8a4d6a, 0xd97521d,
-    0x7e8cf75f, 0xd8b0a3d, 0x7e8f9eeb, 0xd7ec1d6,
-    0x7e92440d, 0xd7278eb, 0x7e94e6c6, 0xd662f7b,
-    0x7e978715, 0xd59e586, 0x7e9a24fb, 0xd4d9b0e,
-    0x7e9cc076, 0xd415013, 0x7e9f5988, 0xd350495,
-    0x7ea1f02f, 0xd28b894, 0x7ea4846c, 0xd1c6c11,
-    0x7ea7163f, 0xd101f0e, 0x7ea9a5a8, 0xd03d189,
-    0x7eac32a6, 0xcf78383, 0x7eaebd3a, 0xceb34fe,
-    0x7eb14563, 0xcdee5f9, 0x7eb3cb21, 0xcd29676,
-    0x7eb64e75, 0xcc64673, 0x7eb8cf5d, 0xcb9f5f3,
-    0x7ebb4ddb, 0xcada4f5, 0x7ebdc9ed, 0xca1537a,
-    0x7ec04394, 0xc950182, 0x7ec2bad0, 0xc88af0e,
-    0x7ec52fa0, 0xc7c5c1e, 0x7ec7a205, 0xc7008b3,
-    0x7eca11fe, 0xc63b4ce, 0x7ecc7f8b, 0xc57606e,
-    0x7eceeaad, 0xc4b0b94, 0x7ed15363, 0xc3eb641,
-    0x7ed3b9ad, 0xc326075, 0x7ed61d8a, 0xc260a31,
-    0x7ed87efc, 0xc19b374, 0x7edade01, 0xc0d5c41,
-    0x7edd3a9a, 0xc010496, 0x7edf94c7, 0xbf4ac75,
-    0x7ee1ec87, 0xbe853de, 0x7ee441da, 0xbdbfad1,
-    0x7ee694c1, 0xbcfa150, 0x7ee8e53a, 0xbc34759,
-    0x7eeb3347, 0xbb6ecef, 0x7eed7ee7, 0xbaa9211,
-    0x7eefc81a, 0xb9e36c0, 0x7ef20ee0, 0xb91dafc,
-    0x7ef45338, 0xb857ec7, 0x7ef69523, 0xb79221f,
-    0x7ef8d4a1, 0xb6cc506, 0x7efb11b1, 0xb60677c,
-    0x7efd4c54, 0xb540982, 0x7eff8489, 0xb47ab19,
-    0x7f01ba50, 0xb3b4c40, 0x7f03eda9, 0xb2eecf8,
-    0x7f061e95, 0xb228d42, 0x7f084d12, 0xb162d1d,
-    0x7f0a7921, 0xb09cc8c, 0x7f0ca2c2, 0xafd6b8d,
-    0x7f0ec9f5, 0xaf10a22, 0x7f10eeb9, 0xae4a84b,
-    0x7f13110f, 0xad84609, 0x7f1530f7, 0xacbe35b,
-    0x7f174e70, 0xabf8043, 0x7f19697a, 0xab31cc1,
-    0x7f1b8215, 0xaa6b8d5, 0x7f1d9842, 0xa9a5480,
-    0x7f1fabff, 0xa8defc3, 0x7f21bd4e, 0xa818a9d,
-    0x7f23cc2e, 0xa752510, 0x7f25d89e, 0xa68bf1b,
-    0x7f27e29f, 0xa5c58c0, 0x7f29ea31, 0xa4ff1fe,
-    0x7f2bef53, 0xa438ad7, 0x7f2df206, 0xa37234a,
-    0x7f2ff24a, 0xa2abb59, 0x7f31f01d, 0xa1e5303,
-    0x7f33eb81, 0xa11ea49, 0x7f35e476, 0xa05812c,
-    0x7f37dafa, 0x9f917ac, 0x7f39cf0e, 0x9ecadc9,
-    0x7f3bc0b3, 0x9e04385, 0x7f3dafe7, 0x9d3d8df,
-    0x7f3f9cab, 0x9c76dd8, 0x7f4186ff, 0x9bb0271,
-    0x7f436ee3, 0x9ae96aa, 0x7f455456, 0x9a22a83,
-    0x7f473759, 0x995bdfd, 0x7f4917eb, 0x9895118,
-    0x7f4af60d, 0x97ce3d5, 0x7f4cd1be, 0x9707635,
-    0x7f4eaafe, 0x9640837, 0x7f5081cd, 0x95799dd,
-    0x7f52562c, 0x94b2b27, 0x7f54281a, 0x93ebc14,
-    0x7f55f796, 0x9324ca7, 0x7f57c4a2, 0x925dcdf,
-    0x7f598f3c, 0x9196cbc, 0x7f5b5765, 0x90cfc40,
-    0x7f5d1d1d, 0x9008b6a, 0x7f5ee063, 0x8f41a3c,
-    0x7f60a138, 0x8e7a8b5, 0x7f625f9b, 0x8db36d6,
-    0x7f641b8d, 0x8cec4a0, 0x7f65d50d, 0x8c25213,
-    0x7f678c1c, 0x8b5df30, 0x7f6940b8, 0x8a96bf6,
-    0x7f6af2e3, 0x89cf867, 0x7f6ca29c, 0x8908483,
-    0x7f6e4fe3, 0x884104b, 0x7f6ffab8, 0x8779bbe,
-    0x7f71a31b, 0x86b26de, 0x7f73490b, 0x85eb1ab,
-    0x7f74ec8a, 0x8523c25, 0x7f768d96, 0x845c64d,
-    0x7f782c30, 0x8395024, 0x7f79c857, 0x82cd9a9,
-    0x7f7b620c, 0x82062de, 0x7f7cf94e, 0x813ebc2,
-    0x7f7e8e1e, 0x8077457, 0x7f80207b, 0x7fafc9c,
-    0x7f81b065, 0x7ee8493, 0x7f833ddd, 0x7e20c3b,
-    0x7f84c8e2, 0x7d59396, 0x7f865174, 0x7c91aa3,
-    0x7f87d792, 0x7bca163, 0x7f895b3e, 0x7b027d7,
-    0x7f8adc77, 0x7a3adff, 0x7f8c5b3d, 0x79733dc,
-    0x7f8dd78f, 0x78ab96e, 0x7f8f516e, 0x77e3eb5,
-    0x7f90c8da, 0x771c3b3, 0x7f923dd2, 0x7654867,
-    0x7f93b058, 0x758ccd2, 0x7f952069, 0x74c50f4,
-    0x7f968e07, 0x73fd4cf, 0x7f97f932, 0x7335862,
-    0x7f9961e8, 0x726dbae, 0x7f9ac82c, 0x71a5eb3,
-    0x7f9c2bfb, 0x70de172, 0x7f9d8d56, 0x70163eb,
-    0x7f9eec3e, 0x6f4e620, 0x7fa048b2, 0x6e86810,
-    0x7fa1a2b2, 0x6dbe9bb, 0x7fa2fa3d, 0x6cf6b23,
-    0x7fa44f55, 0x6c2ec48, 0x7fa5a1f9, 0x6b66d29,
-    0x7fa6f228, 0x6a9edc9, 0x7fa83fe3, 0x69d6e27,
-    0x7fa98b2a, 0x690ee44, 0x7faad3fd, 0x6846e1f,
-    0x7fac1a5b, 0x677edbb, 0x7fad5e45, 0x66b6d16,
-    0x7fae9fbb, 0x65eec33, 0x7fafdebb, 0x6526b10,
-    0x7fb11b48, 0x645e9af, 0x7fb2555f, 0x6396810,
-    0x7fb38d02, 0x62ce634, 0x7fb4c231, 0x620641a,
-    0x7fb5f4ea, 0x613e1c5, 0x7fb7252f, 0x6075f33,
-    0x7fb852ff, 0x5fadc66, 0x7fb97e5a, 0x5ee595d,
-    0x7fbaa740, 0x5e1d61b, 0x7fbbcdb1, 0x5d5529e,
-    0x7fbcf1ad, 0x5c8cee7, 0x7fbe1334, 0x5bc4af8,
-    0x7fbf3246, 0x5afc6d0, 0x7fc04ee3, 0x5a3426f,
-    0x7fc1690a, 0x596bdd7, 0x7fc280bc, 0x58a3908,
-    0x7fc395f9, 0x57db403, 0x7fc4a8c1, 0x5712ec7,
-    0x7fc5b913, 0x564a955, 0x7fc6c6f0, 0x55823ae,
-    0x7fc7d258, 0x54b9dd3, 0x7fc8db4a, 0x53f17c3,
-    0x7fc9e1c6, 0x532917f, 0x7fcae5cd, 0x5260b08,
-    0x7fcbe75e, 0x519845e, 0x7fcce67a, 0x50cfd82,
-    0x7fcde320, 0x5007674, 0x7fcedd50, 0x4f3ef35,
-    0x7fcfd50b, 0x4e767c5, 0x7fd0ca4f, 0x4dae024,
-    0x7fd1bd1e, 0x4ce5854, 0x7fd2ad77, 0x4c1d054,
-    0x7fd39b5a, 0x4b54825, 0x7fd486c7, 0x4a8bfc7,
-    0x7fd56fbe, 0x49c373c, 0x7fd6563f, 0x48fae83,
-    0x7fd73a4a, 0x483259d, 0x7fd81bdf, 0x4769c8b,
-    0x7fd8fafe, 0x46a134c, 0x7fd9d7a7, 0x45d89e2,
-    0x7fdab1d9, 0x451004d, 0x7fdb8996, 0x444768d,
-    0x7fdc5edc, 0x437eca4, 0x7fdd31ac, 0x42b6290,
-    0x7fde0205, 0x41ed854, 0x7fdecfe8, 0x4124dee,
-    0x7fdf9b55, 0x405c361, 0x7fe0644b, 0x3f938ac,
-    0x7fe12acb, 0x3ecadcf, 0x7fe1eed5, 0x3e022cc,
-    0x7fe2b067, 0x3d397a3, 0x7fe36f84, 0x3c70c54,
-    0x7fe42c2a, 0x3ba80df, 0x7fe4e659, 0x3adf546,
-    0x7fe59e12, 0x3a16988, 0x7fe65354, 0x394dda7,
-    0x7fe7061f, 0x38851a2, 0x7fe7b674, 0x37bc57b,
-    0x7fe86452, 0x36f3931, 0x7fe90fb9, 0x362acc5,
-    0x7fe9b8a9, 0x3562038, 0x7fea5f23, 0x3499389,
-    0x7feb0326, 0x33d06bb, 0x7feba4b2, 0x33079cc,
-    0x7fec43c7, 0x323ecbe, 0x7fece065, 0x3175f91,
-    0x7fed7a8c, 0x30ad245, 0x7fee123d, 0x2fe44dc,
-    0x7feea776, 0x2f1b755, 0x7fef3a39, 0x2e529b0,
-    0x7fefca84, 0x2d89bf0, 0x7ff05858, 0x2cc0e13,
-    0x7ff0e3b6, 0x2bf801a, 0x7ff16c9c, 0x2b2f207,
-    0x7ff1f30b, 0x2a663d8, 0x7ff27703, 0x299d590,
-    0x7ff2f884, 0x28d472e, 0x7ff3778e, 0x280b8b3,
-    0x7ff3f420, 0x2742a1f, 0x7ff46e3c, 0x2679b73,
-    0x7ff4e5e0, 0x25b0caf, 0x7ff55b0d, 0x24e7dd4,
-    0x7ff5cdc3, 0x241eee2, 0x7ff63e01, 0x2355fd9,
-    0x7ff6abc8, 0x228d0bb, 0x7ff71718, 0x21c4188,
-    0x7ff77ff1, 0x20fb240, 0x7ff7e652, 0x20322e3,
-    0x7ff84a3c, 0x1f69373, 0x7ff8abae, 0x1ea03ef,
-    0x7ff90aaa, 0x1dd7459, 0x7ff9672d, 0x1d0e4b0,
-    0x7ff9c13a, 0x1c454f5, 0x7ffa18cf, 0x1b7c528,
-    0x7ffa6dec, 0x1ab354b, 0x7ffac092, 0x19ea55d,
-    0x7ffb10c1, 0x192155f, 0x7ffb5e78, 0x1858552,
-    0x7ffba9b8, 0x178f536, 0x7ffbf280, 0x16c650b,
-    0x7ffc38d1, 0x15fd4d2, 0x7ffc7caa, 0x153448c,
-    0x7ffcbe0c, 0x146b438, 0x7ffcfcf6, 0x13a23d8,
-    0x7ffd3969, 0x12d936c, 0x7ffd7364, 0x12102f4,
-    0x7ffdaae7, 0x1147271, 0x7ffddff3, 0x107e1e3,
-    0x7ffe1288, 0xfb514b, 0x7ffe42a4, 0xeec0aa,
-    0x7ffe704a, 0xe22fff, 0x7ffe9b77, 0xd59f4c,
-    0x7ffec42d, 0xc90e90, 0x7ffeea6c, 0xbc7dcc,
-    0x7fff0e32, 0xafed02, 0x7fff2f82, 0xa35c30,
-    0x7fff4e59, 0x96cb58, 0x7fff6ab9, 0x8a3a7b,
-    0x7fff84a1, 0x7da998, 0x7fff9c12, 0x7118b0,
-    0x7fffb10b, 0x6487c4, 0x7fffc38c, 0x57f6d4,
-    0x7fffd396, 0x4b65e1, 0x7fffe128, 0x3ed4ea,
-    0x7fffec43, 0x3243f1, 0x7ffff4e6, 0x25b2f7,
-    0x7ffffb11, 0x1921fb, 0x7ffffec4, 0xc90fe,
-    0x7fffffff, 0x0, 0x7ffffec4, 0xfff36f02,
-    0x7ffffb11, 0xffe6de05, 0x7ffff4e6, 0xffda4d09,
-    0x7fffec43, 0xffcdbc0f, 0x7fffe128, 0xffc12b16,
-    0x7fffd396, 0xffb49a1f, 0x7fffc38c, 0xffa8092c,
-    0x7fffb10b, 0xff9b783c, 0x7fff9c12, 0xff8ee750,
-    0x7fff84a1, 0xff825668, 0x7fff6ab9, 0xff75c585,
-    0x7fff4e59, 0xff6934a8, 0x7fff2f82, 0xff5ca3d0,
-    0x7fff0e32, 0xff5012fe, 0x7ffeea6c, 0xff438234,
-    0x7ffec42d, 0xff36f170, 0x7ffe9b77, 0xff2a60b4,
-    0x7ffe704a, 0xff1dd001, 0x7ffe42a4, 0xff113f56,
-    0x7ffe1288, 0xff04aeb5, 0x7ffddff3, 0xfef81e1d,
-    0x7ffdaae7, 0xfeeb8d8f, 0x7ffd7364, 0xfedefd0c,
-    0x7ffd3969, 0xfed26c94, 0x7ffcfcf6, 0xfec5dc28,
-    0x7ffcbe0c, 0xfeb94bc8, 0x7ffc7caa, 0xfeacbb74,
-    0x7ffc38d1, 0xfea02b2e, 0x7ffbf280, 0xfe939af5,
-    0x7ffba9b8, 0xfe870aca, 0x7ffb5e78, 0xfe7a7aae,
-    0x7ffb10c1, 0xfe6deaa1, 0x7ffac092, 0xfe615aa3,
-    0x7ffa6dec, 0xfe54cab5, 0x7ffa18cf, 0xfe483ad8,
-    0x7ff9c13a, 0xfe3bab0b, 0x7ff9672d, 0xfe2f1b50,
-    0x7ff90aaa, 0xfe228ba7, 0x7ff8abae, 0xfe15fc11,
-    0x7ff84a3c, 0xfe096c8d, 0x7ff7e652, 0xfdfcdd1d,
-    0x7ff77ff1, 0xfdf04dc0, 0x7ff71718, 0xfde3be78,
-    0x7ff6abc8, 0xfdd72f45, 0x7ff63e01, 0xfdcaa027,
-    0x7ff5cdc3, 0xfdbe111e, 0x7ff55b0d, 0xfdb1822c,
-    0x7ff4e5e0, 0xfda4f351, 0x7ff46e3c, 0xfd98648d,
-    0x7ff3f420, 0xfd8bd5e1, 0x7ff3778e, 0xfd7f474d,
-    0x7ff2f884, 0xfd72b8d2, 0x7ff27703, 0xfd662a70,
-    0x7ff1f30b, 0xfd599c28, 0x7ff16c9c, 0xfd4d0df9,
-    0x7ff0e3b6, 0xfd407fe6, 0x7ff05858, 0xfd33f1ed,
-    0x7fefca84, 0xfd276410, 0x7fef3a39, 0xfd1ad650,
-    0x7feea776, 0xfd0e48ab, 0x7fee123d, 0xfd01bb24,
-    0x7fed7a8c, 0xfcf52dbb, 0x7fece065, 0xfce8a06f,
-    0x7fec43c7, 0xfcdc1342, 0x7feba4b2, 0xfccf8634,
-    0x7feb0326, 0xfcc2f945, 0x7fea5f23, 0xfcb66c77,
-    0x7fe9b8a9, 0xfca9dfc8, 0x7fe90fb9, 0xfc9d533b,
-    0x7fe86452, 0xfc90c6cf, 0x7fe7b674, 0xfc843a85,
-    0x7fe7061f, 0xfc77ae5e, 0x7fe65354, 0xfc6b2259,
-    0x7fe59e12, 0xfc5e9678, 0x7fe4e659, 0xfc520aba,
-    0x7fe42c2a, 0xfc457f21, 0x7fe36f84, 0xfc38f3ac,
-    0x7fe2b067, 0xfc2c685d, 0x7fe1eed5, 0xfc1fdd34,
-    0x7fe12acb, 0xfc135231, 0x7fe0644b, 0xfc06c754,
-    0x7fdf9b55, 0xfbfa3c9f, 0x7fdecfe8, 0xfbedb212,
-    0x7fde0205, 0xfbe127ac, 0x7fdd31ac, 0xfbd49d70,
-    0x7fdc5edc, 0xfbc8135c, 0x7fdb8996, 0xfbbb8973,
-    0x7fdab1d9, 0xfbaeffb3, 0x7fd9d7a7, 0xfba2761e,
-    0x7fd8fafe, 0xfb95ecb4, 0x7fd81bdf, 0xfb896375,
-    0x7fd73a4a, 0xfb7cda63, 0x7fd6563f, 0xfb70517d,
-    0x7fd56fbe, 0xfb63c8c4, 0x7fd486c7, 0xfb574039,
-    0x7fd39b5a, 0xfb4ab7db, 0x7fd2ad77, 0xfb3e2fac,
-    0x7fd1bd1e, 0xfb31a7ac, 0x7fd0ca4f, 0xfb251fdc,
-    0x7fcfd50b, 0xfb18983b, 0x7fcedd50, 0xfb0c10cb,
-    0x7fcde320, 0xfaff898c, 0x7fcce67a, 0xfaf3027e,
-    0x7fcbe75e, 0xfae67ba2, 0x7fcae5cd, 0xfad9f4f8,
-    0x7fc9e1c6, 0xfacd6e81, 0x7fc8db4a, 0xfac0e83d,
-    0x7fc7d258, 0xfab4622d, 0x7fc6c6f0, 0xfaa7dc52,
-    0x7fc5b913, 0xfa9b56ab, 0x7fc4a8c1, 0xfa8ed139,
-    0x7fc395f9, 0xfa824bfd, 0x7fc280bc, 0xfa75c6f8,
-    0x7fc1690a, 0xfa694229, 0x7fc04ee3, 0xfa5cbd91,
-    0x7fbf3246, 0xfa503930, 0x7fbe1334, 0xfa43b508,
-    0x7fbcf1ad, 0xfa373119, 0x7fbbcdb1, 0xfa2aad62,
-    0x7fbaa740, 0xfa1e29e5, 0x7fb97e5a, 0xfa11a6a3,
-    0x7fb852ff, 0xfa05239a, 0x7fb7252f, 0xf9f8a0cd,
-    0x7fb5f4ea, 0xf9ec1e3b, 0x7fb4c231, 0xf9df9be6,
-    0x7fb38d02, 0xf9d319cc, 0x7fb2555f, 0xf9c697f0,
-    0x7fb11b48, 0xf9ba1651, 0x7fafdebb, 0xf9ad94f0,
-    0x7fae9fbb, 0xf9a113cd, 0x7fad5e45, 0xf99492ea,
-    0x7fac1a5b, 0xf9881245, 0x7faad3fd, 0xf97b91e1,
-    0x7fa98b2a, 0xf96f11bc, 0x7fa83fe3, 0xf96291d9,
-    0x7fa6f228, 0xf9561237, 0x7fa5a1f9, 0xf94992d7,
-    0x7fa44f55, 0xf93d13b8, 0x7fa2fa3d, 0xf93094dd,
-    0x7fa1a2b2, 0xf9241645, 0x7fa048b2, 0xf91797f0,
-    0x7f9eec3e, 0xf90b19e0, 0x7f9d8d56, 0xf8fe9c15,
-    0x7f9c2bfb, 0xf8f21e8e, 0x7f9ac82c, 0xf8e5a14d,
-    0x7f9961e8, 0xf8d92452, 0x7f97f932, 0xf8cca79e,
-    0x7f968e07, 0xf8c02b31, 0x7f952069, 0xf8b3af0c,
-    0x7f93b058, 0xf8a7332e, 0x7f923dd2, 0xf89ab799,
-    0x7f90c8da, 0xf88e3c4d, 0x7f8f516e, 0xf881c14b,
-    0x7f8dd78f, 0xf8754692, 0x7f8c5b3d, 0xf868cc24,
-    0x7f8adc77, 0xf85c5201, 0x7f895b3e, 0xf84fd829,
-    0x7f87d792, 0xf8435e9d, 0x7f865174, 0xf836e55d,
-    0x7f84c8e2, 0xf82a6c6a, 0x7f833ddd, 0xf81df3c5,
-    0x7f81b065, 0xf8117b6d, 0x7f80207b, 0xf8050364,
-    0x7f7e8e1e, 0xf7f88ba9, 0x7f7cf94e, 0xf7ec143e,
-    0x7f7b620c, 0xf7df9d22, 0x7f79c857, 0xf7d32657,
-    0x7f782c30, 0xf7c6afdc, 0x7f768d96, 0xf7ba39b3,
-    0x7f74ec8a, 0xf7adc3db, 0x7f73490b, 0xf7a14e55,
-    0x7f71a31b, 0xf794d922, 0x7f6ffab8, 0xf7886442,
-    0x7f6e4fe3, 0xf77befb5, 0x7f6ca29c, 0xf76f7b7d,
-    0x7f6af2e3, 0xf7630799, 0x7f6940b8, 0xf756940a,
-    0x7f678c1c, 0xf74a20d0, 0x7f65d50d, 0xf73daded,
-    0x7f641b8d, 0xf7313b60, 0x7f625f9b, 0xf724c92a,
-    0x7f60a138, 0xf718574b, 0x7f5ee063, 0xf70be5c4,
-    0x7f5d1d1d, 0xf6ff7496, 0x7f5b5765, 0xf6f303c0,
-    0x7f598f3c, 0xf6e69344, 0x7f57c4a2, 0xf6da2321,
-    0x7f55f796, 0xf6cdb359, 0x7f54281a, 0xf6c143ec,
-    0x7f52562c, 0xf6b4d4d9, 0x7f5081cd, 0xf6a86623,
-    0x7f4eaafe, 0xf69bf7c9, 0x7f4cd1be, 0xf68f89cb,
-    0x7f4af60d, 0xf6831c2b, 0x7f4917eb, 0xf676aee8,
-    0x7f473759, 0xf66a4203, 0x7f455456, 0xf65dd57d,
-    0x7f436ee3, 0xf6516956, 0x7f4186ff, 0xf644fd8f,
-    0x7f3f9cab, 0xf6389228, 0x7f3dafe7, 0xf62c2721,
-    0x7f3bc0b3, 0xf61fbc7b, 0x7f39cf0e, 0xf6135237,
-    0x7f37dafa, 0xf606e854, 0x7f35e476, 0xf5fa7ed4,
-    0x7f33eb81, 0xf5ee15b7, 0x7f31f01d, 0xf5e1acfd,
-    0x7f2ff24a, 0xf5d544a7, 0x7f2df206, 0xf5c8dcb6,
-    0x7f2bef53, 0xf5bc7529, 0x7f29ea31, 0xf5b00e02,
-    0x7f27e29f, 0xf5a3a740, 0x7f25d89e, 0xf59740e5,
-    0x7f23cc2e, 0xf58adaf0, 0x7f21bd4e, 0xf57e7563,
-    0x7f1fabff, 0xf572103d, 0x7f1d9842, 0xf565ab80,
-    0x7f1b8215, 0xf559472b, 0x7f19697a, 0xf54ce33f,
-    0x7f174e70, 0xf5407fbd, 0x7f1530f7, 0xf5341ca5,
-    0x7f13110f, 0xf527b9f7, 0x7f10eeb9, 0xf51b57b5,
-    0x7f0ec9f5, 0xf50ef5de, 0x7f0ca2c2, 0xf5029473,
-    0x7f0a7921, 0xf4f63374, 0x7f084d12, 0xf4e9d2e3,
-    0x7f061e95, 0xf4dd72be, 0x7f03eda9, 0xf4d11308,
-    0x7f01ba50, 0xf4c4b3c0, 0x7eff8489, 0xf4b854e7,
-    0x7efd4c54, 0xf4abf67e, 0x7efb11b1, 0xf49f9884,
-    0x7ef8d4a1, 0xf4933afa, 0x7ef69523, 0xf486dde1,
-    0x7ef45338, 0xf47a8139, 0x7ef20ee0, 0xf46e2504,
-    0x7eefc81a, 0xf461c940, 0x7eed7ee7, 0xf4556def,
-    0x7eeb3347, 0xf4491311, 0x7ee8e53a, 0xf43cb8a7,
-    0x7ee694c1, 0xf4305eb0, 0x7ee441da, 0xf424052f,
-    0x7ee1ec87, 0xf417ac22, 0x7edf94c7, 0xf40b538b,
-    0x7edd3a9a, 0xf3fefb6a, 0x7edade01, 0xf3f2a3bf,
-    0x7ed87efc, 0xf3e64c8c, 0x7ed61d8a, 0xf3d9f5cf,
-    0x7ed3b9ad, 0xf3cd9f8b, 0x7ed15363, 0xf3c149bf,
-    0x7eceeaad, 0xf3b4f46c, 0x7ecc7f8b, 0xf3a89f92,
-    0x7eca11fe, 0xf39c4b32, 0x7ec7a205, 0xf38ff74d,
-    0x7ec52fa0, 0xf383a3e2, 0x7ec2bad0, 0xf37750f2,
-    0x7ec04394, 0xf36afe7e, 0x7ebdc9ed, 0xf35eac86,
-    0x7ebb4ddb, 0xf3525b0b, 0x7eb8cf5d, 0xf3460a0d,
-    0x7eb64e75, 0xf339b98d, 0x7eb3cb21, 0xf32d698a,
-    0x7eb14563, 0xf3211a07, 0x7eaebd3a, 0xf314cb02,
-    0x7eac32a6, 0xf3087c7d, 0x7ea9a5a8, 0xf2fc2e77,
-    0x7ea7163f, 0xf2efe0f2, 0x7ea4846c, 0xf2e393ef,
-    0x7ea1f02f, 0xf2d7476c, 0x7e9f5988, 0xf2cafb6b,
-    0x7e9cc076, 0xf2beafed, 0x7e9a24fb, 0xf2b264f2,
-    0x7e978715, 0xf2a61a7a, 0x7e94e6c6, 0xf299d085,
-    0x7e92440d, 0xf28d8715, 0x7e8f9eeb, 0xf2813e2a,
-    0x7e8cf75f, 0xf274f5c3, 0x7e8a4d6a, 0xf268ade3,
-    0x7e87a10c, 0xf25c6688, 0x7e84f245, 0xf2501fb5,
-    0x7e824114, 0xf243d968, 0x7e7f8d7b, 0xf23793a3,
-    0x7e7cd778, 0xf22b4e66, 0x7e7a1f0d, 0xf21f09b1,
-    0x7e77643a, 0xf212c585, 0x7e74a6fd, 0xf20681e3,
-    0x7e71e759, 0xf1fa3ecb, 0x7e6f254c, 0xf1edfc3d,
-    0x7e6c60d7, 0xf1e1ba3a, 0x7e6999fa, 0xf1d578c2,
-    0x7e66d0b4, 0xf1c937d6, 0x7e640507, 0xf1bcf777,
-    0x7e6136f3, 0xf1b0b7a4, 0x7e5e6676, 0xf1a4785e,
-    0x7e5b9392, 0xf19839a6, 0x7e58be47, 0xf18bfb7d,
-    0x7e55e694, 0xf17fbde2, 0x7e530c7a, 0xf17380d6,
-    0x7e502ff9, 0xf1674459, 0x7e4d5110, 0xf15b086d,
-    0x7e4a6fc1, 0xf14ecd11, 0x7e478c0b, 0xf1429247,
-    0x7e44a5ef, 0xf136580d, 0x7e41bd6c, 0xf12a1e66,
-    0x7e3ed282, 0xf11de551, 0x7e3be532, 0xf111accf,
-    0x7e38f57c, 0xf10574e0, 0x7e360360, 0xf0f93d86,
-    0x7e330ede, 0xf0ed06bf, 0x7e3017f6, 0xf0e0d08d,
-    0x7e2d1ea8, 0xf0d49af1, 0x7e2a22f4, 0xf0c865ea,
-    0x7e2724db, 0xf0bc317a, 0x7e24245d, 0xf0affda0,
-    0x7e212179, 0xf0a3ca5d, 0x7e1e1c30, 0xf09797b2,
-    0x7e1b1482, 0xf08b659f, 0x7e180a6f, 0xf07f3424,
-    0x7e14fdf7, 0xf0730342, 0x7e11ef1b, 0xf066d2fa,
-    0x7e0eddd9, 0xf05aa34c, 0x7e0bca34, 0xf04e7438,
-    0x7e08b42a, 0xf04245c0, 0x7e059bbb, 0xf03617e2,
-    0x7e0280e9, 0xf029eaa1, 0x7dff63b2, 0xf01dbdfb,
-    0x7dfc4418, 0xf01191f3, 0x7df9221a, 0xf0056687,
-    0x7df5fdb8, 0xeff93bba, 0x7df2d6f3, 0xefed118a,
-    0x7defadca, 0xefe0e7f9, 0x7dec823e, 0xefd4bf08,
-    0x7de9544f, 0xefc896b5, 0x7de623fd, 0xefbc6f03,
-    0x7de2f148, 0xefb047f2, 0x7ddfbc30, 0xefa42181,
-    0x7ddc84b5, 0xef97fbb2, 0x7dd94ad8, 0xef8bd685,
-    0x7dd60e99, 0xef7fb1fa, 0x7dd2cff7, 0xef738e12,
-    0x7dcf8ef3, 0xef676ace, 0x7dcc4b8d, 0xef5b482d,
-    0x7dc905c5, 0xef4f2630, 0x7dc5bd9b, 0xef4304d8,
-    0x7dc2730f, 0xef36e426, 0x7dbf2622, 0xef2ac419,
-    0x7dbbd6d4, 0xef1ea4b2, 0x7db88524, 0xef1285f2,
-    0x7db53113, 0xef0667d9, 0x7db1daa2, 0xeefa4a67,
-    0x7dae81cf, 0xeeee2d9d, 0x7dab269b, 0xeee2117c,
-    0x7da7c907, 0xeed5f604, 0x7da46912, 0xeec9db35,
-    0x7da106bd, 0xeebdc110, 0x7d9da208, 0xeeb1a796,
-    0x7d9a3af2, 0xeea58ec6, 0x7d96d17d, 0xee9976a1,
-    0x7d9365a8, 0xee8d5f29, 0x7d8ff772, 0xee81485c,
-    0x7d8c86de, 0xee75323c, 0x7d8913ea, 0xee691cc9,
-    0x7d859e96, 0xee5d0804, 0x7d8226e4, 0xee50f3ed,
-    0x7d7eacd2, 0xee44e084, 0x7d7b3061, 0xee38cdcb,
-    0x7d77b192, 0xee2cbbc1, 0x7d743064, 0xee20aa67,
-    0x7d70acd7, 0xee1499bd, 0x7d6d26ec, 0xee0889c4,
-    0x7d699ea3, 0xedfc7a7c, 0x7d6613fb, 0xedf06be6,
-    0x7d6286f6, 0xede45e03, 0x7d5ef793, 0xedd850d2,
-    0x7d5b65d2, 0xedcc4454, 0x7d57d1b3, 0xedc0388a,
-    0x7d543b37, 0xedb42d74, 0x7d50a25e, 0xeda82313,
-    0x7d4d0728, 0xed9c1967, 0x7d496994, 0xed901070,
-    0x7d45c9a4, 0xed84082f, 0x7d422757, 0xed7800a5,
-    0x7d3e82ae, 0xed6bf9d1, 0x7d3adba7, 0xed5ff3b5,
-    0x7d373245, 0xed53ee51, 0x7d338687, 0xed47e9a5,
-    0x7d2fd86c, 0xed3be5b1, 0x7d2c27f6, 0xed2fe277,
-    0x7d287523, 0xed23dff7, 0x7d24bff6, 0xed17de31,
-    0x7d21086c, 0xed0bdd25, 0x7d1d4e88, 0xecffdcd4,
-    0x7d199248, 0xecf3dd3f, 0x7d15d3ad, 0xece7de66,
-    0x7d1212b7, 0xecdbe04a, 0x7d0e4f67, 0xeccfe2ea,
-    0x7d0a89bc, 0xecc3e648, 0x7d06c1b6, 0xecb7ea63,
-    0x7d02f757, 0xecabef3d, 0x7cff2a9d, 0xec9ff4d6,
-    0x7cfb5b89, 0xec93fb2e, 0x7cf78a1b, 0xec880245,
-    0x7cf3b653, 0xec7c0a1d, 0x7cefe032, 0xec7012b5,
-    0x7cec07b8, 0xec641c0e, 0x7ce82ce4, 0xec582629,
-    0x7ce44fb7, 0xec4c3106, 0x7ce07031, 0xec403ca5,
-    0x7cdc8e52, 0xec344908, 0x7cd8aa1b, 0xec28562d,
-    0x7cd4c38b, 0xec1c6417, 0x7cd0daa2, 0xec1072c4,
-    0x7cccef62, 0xec048237, 0x7cc901c9, 0xebf8926f,
-    0x7cc511d9, 0xebeca36c, 0x7cc11f90, 0xebe0b52f,
-    0x7cbd2af0, 0xebd4c7ba, 0x7cb933f9, 0xebc8db0b,
-    0x7cb53aaa, 0xebbcef23, 0x7cb13f04, 0xebb10404,
-    0x7cad4107, 0xeba519ad, 0x7ca940b3, 0xeb99301f,
-    0x7ca53e09, 0xeb8d475b, 0x7ca13908, 0xeb815f60,
-    0x7c9d31b0, 0xeb75782f, 0x7c992803, 0xeb6991ca,
-    0x7c951bff, 0xeb5dac2f, 0x7c910da5, 0xeb51c760,
-    0x7c8cfcf6, 0xeb45e35d, 0x7c88e9f1, 0xeb3a0027,
-    0x7c84d496, 0xeb2e1dbe, 0x7c80bce7, 0xeb223c22,
-    0x7c7ca2e2, 0xeb165b54, 0x7c788688, 0xeb0a7b54,
-    0x7c7467d9, 0xeafe9c24, 0x7c7046d6, 0xeaf2bdc3,
-    0x7c6c237e, 0xeae6e031, 0x7c67fdd1, 0xeadb0370,
-    0x7c63d5d1, 0xeacf277f, 0x7c5fab7c, 0xeac34c60,
-    0x7c5b7ed4, 0xeab77212, 0x7c574fd8, 0xeaab9896,
-    0x7c531e88, 0xea9fbfed, 0x7c4eeae5, 0xea93e817,
-    0x7c4ab4ef, 0xea881114, 0x7c467ca6, 0xea7c3ae5,
-    0x7c42420a, 0xea70658a, 0x7c3e051b, 0xea649105,
-    0x7c39c5da, 0xea58bd54, 0x7c358446, 0xea4cea79,
-    0x7c314060, 0xea411874, 0x7c2cfa28, 0xea354746,
-    0x7c28b19e, 0xea2976ef, 0x7c2466c2, 0xea1da770,
-    0x7c201994, 0xea11d8c8, 0x7c1bca16, 0xea060af9,
-    0x7c177845, 0xe9fa3e03, 0x7c132424, 0xe9ee71e6,
-    0x7c0ecdb2, 0xe9e2a6a3, 0x7c0a74f0, 0xe9d6dc3b,
-    0x7c0619dc, 0xe9cb12ad, 0x7c01bc78, 0xe9bf49fa,
-    0x7bfd5cc4, 0xe9b38223, 0x7bf8fac0, 0xe9a7bb28,
-    0x7bf4966c, 0xe99bf509, 0x7bf02fc9, 0xe9902fc7,
-    0x7bebc6d5, 0xe9846b63, 0x7be75b93, 0xe978a7dd,
-    0x7be2ee01, 0xe96ce535, 0x7bde7e20, 0xe961236c,
-    0x7bda0bf0, 0xe9556282, 0x7bd59771, 0xe949a278,
-    0x7bd120a4, 0xe93de34e, 0x7bcca789, 0xe9322505,
-    0x7bc82c1f, 0xe926679c, 0x7bc3ae67, 0xe91aab16,
-    0x7bbf2e62, 0xe90eef71, 0x7bbaac0e, 0xe90334af,
-    0x7bb6276e, 0xe8f77acf, 0x7bb1a080, 0xe8ebc1d3,
-    0x7bad1744, 0xe8e009ba, 0x7ba88bbc, 0xe8d45286,
-    0x7ba3fde7, 0xe8c89c37, 0x7b9f6dc5, 0xe8bce6cd,
-    0x7b9adb57, 0xe8b13248, 0x7b96469d, 0xe8a57ea9,
-    0x7b91af97, 0xe899cbf1, 0x7b8d1644, 0xe88e1a20,
-    0x7b887aa6, 0xe8826936, 0x7b83dcbc, 0xe876b934,
-    0x7b7f3c87, 0xe86b0a1a, 0x7b7a9a07, 0xe85f5be9,
-    0x7b75f53c, 0xe853aea1, 0x7b714e25, 0xe8480243,
-    0x7b6ca4c4, 0xe83c56cf, 0x7b67f919, 0xe830ac45,
-    0x7b634b23, 0xe82502a7, 0x7b5e9ae4, 0xe81959f4,
-    0x7b59e85a, 0xe80db22d, 0x7b553386, 0xe8020b52,
-    0x7b507c69, 0xe7f66564, 0x7b4bc303, 0xe7eac063,
-    0x7b470753, 0xe7df1c50, 0x7b42495a, 0xe7d3792b,
-    0x7b3d8918, 0xe7c7d6f4, 0x7b38c68e, 0xe7bc35ad,
-    0x7b3401bb, 0xe7b09555, 0x7b2f3aa0, 0xe7a4f5ed,
-    0x7b2a713d, 0xe7995776, 0x7b25a591, 0xe78db9ef,
-    0x7b20d79e, 0xe7821d59, 0x7b1c0764, 0xe77681b6,
-    0x7b1734e2, 0xe76ae704, 0x7b126019, 0xe75f4d45,
-    0x7b0d8909, 0xe753b479, 0x7b08afb2, 0xe7481ca1,
-    0x7b03d414, 0xe73c85bc, 0x7afef630, 0xe730efcc,
-    0x7afa1605, 0xe7255ad1, 0x7af53395, 0xe719c6cb,
-    0x7af04edf, 0xe70e33bb, 0x7aeb67e3, 0xe702a1a1,
-    0x7ae67ea1, 0xe6f7107e, 0x7ae1931a, 0xe6eb8052,
-    0x7adca54e, 0xe6dff11d, 0x7ad7b53d, 0xe6d462e1,
-    0x7ad2c2e8, 0xe6c8d59c, 0x7acdce4d, 0xe6bd4951,
-    0x7ac8d76f, 0xe6b1bdff, 0x7ac3de4c, 0xe6a633a6,
-    0x7abee2e5, 0xe69aaa48, 0x7ab9e53a, 0xe68f21e5,
-    0x7ab4e54c, 0xe6839a7c, 0x7aafe31b, 0xe6781410,
-    0x7aaadea6, 0xe66c8e9f, 0x7aa5d7ee, 0xe6610a2a,
-    0x7aa0cef3, 0xe65586b3, 0x7a9bc3b6, 0xe64a0438,
-    0x7a96b636, 0xe63e82bc, 0x7a91a674, 0xe633023e,
-    0x7a8c9470, 0xe62782be, 0x7a87802a, 0xe61c043d,
-    0x7a8269a3, 0xe61086bc, 0x7a7d50da, 0xe6050a3b,
-    0x7a7835cf, 0xe5f98ebb, 0x7a731884, 0xe5ee143b,
-    0x7a6df8f8, 0xe5e29abc, 0x7a68d72b, 0xe5d72240,
-    0x7a63b31d, 0xe5cbaac5, 0x7a5e8cd0, 0xe5c0344d,
-    0x7a596442, 0xe5b4bed8, 0x7a543974, 0xe5a94a67,
-    0x7a4f0c67, 0xe59dd6f9, 0x7a49dd1a, 0xe5926490,
-    0x7a44ab8e, 0xe586f32c, 0x7a3f77c3, 0xe57b82cd,
-    0x7a3a41b9, 0xe5701374, 0x7a350970, 0xe564a521,
-    0x7a2fcee8, 0xe55937d5, 0x7a2a9223, 0xe54dcb8f,
-    0x7a25531f, 0xe5426051, 0x7a2011de, 0xe536f61b,
-    0x7a1ace5f, 0xe52b8cee, 0x7a1588a2, 0xe52024c9,
-    0x7a1040a8, 0xe514bdad, 0x7a0af671, 0xe509579b,
-    0x7a05a9fd, 0xe4fdf294, 0x7a005b4d, 0xe4f28e96,
-    0x79fb0a60, 0xe4e72ba4, 0x79f5b737, 0xe4dbc9bd,
-    0x79f061d2, 0xe4d068e2, 0x79eb0a31, 0xe4c50914,
-    0x79e5b054, 0xe4b9aa52, 0x79e0543c, 0xe4ae4c9d,
-    0x79daf5e8, 0xe4a2eff6, 0x79d5955a, 0xe497945d,
-    0x79d03291, 0xe48c39d3, 0x79cacd8d, 0xe480e057,
-    0x79c5664f, 0xe47587eb, 0x79bffcd7, 0xe46a308f,
-    0x79ba9125, 0xe45eda43, 0x79b52339, 0xe4538507,
-    0x79afb313, 0xe44830dd, 0x79aa40b4, 0xe43cddc4,
-    0x79a4cc1c, 0xe4318bbe, 0x799f554b, 0xe4263ac9,
-    0x7999dc42, 0xe41aeae8, 0x799460ff, 0xe40f9c1a,
-    0x798ee385, 0xe4044e60, 0x798963d2, 0xe3f901ba,
-    0x7983e1e8, 0xe3edb628, 0x797e5dc6, 0xe3e26bac,
-    0x7978d76c, 0xe3d72245, 0x79734edc, 0xe3cbd9f4,
-    0x796dc414, 0xe3c092b9, 0x79683715, 0xe3b54c95,
-    0x7962a7e0, 0xe3aa0788, 0x795d1675, 0xe39ec393,
-    0x795782d3, 0xe39380b6, 0x7951ecfc, 0xe3883ef2,
-    0x794c54ee, 0xe37cfe47, 0x7946baac, 0xe371beb5,
-    0x79411e33, 0xe366803c, 0x793b7f86, 0xe35b42df,
-    0x7935dea4, 0xe350069b, 0x79303b8e, 0xe344cb73,
-    0x792a9642, 0xe3399167, 0x7924eec3, 0xe32e5876,
-    0x791f4510, 0xe32320a2, 0x79199929, 0xe317e9eb,
-    0x7913eb0e, 0xe30cb451, 0x790e3ac0, 0xe3017fd5,
-    0x7908883f, 0xe2f64c77, 0x7902d38b, 0xe2eb1a37,
-    0x78fd1ca4, 0xe2dfe917, 0x78f7638b, 0xe2d4b916,
-    0x78f1a840, 0xe2c98a35, 0x78ebeac2, 0xe2be5c74,
-    0x78e62b13, 0xe2b32fd4, 0x78e06932, 0xe2a80456,
-    0x78daa520, 0xe29cd9f8, 0x78d4dedd, 0xe291b0bd,
-    0x78cf1669, 0xe28688a4, 0x78c94bc4, 0xe27b61af,
-    0x78c37eef, 0xe2703bdc, 0x78bdafea, 0xe265172e,
-    0x78b7deb4, 0xe259f3a3, 0x78b20b4f, 0xe24ed13d,
-    0x78ac35ba, 0xe243affc, 0x78a65df6, 0xe2388fe1,
-    0x78a08402, 0xe22d70eb, 0x789aa7e0, 0xe222531c,
-    0x7894c98f, 0xe2173674, 0x788ee910, 0xe20c1af3,
-    0x78890663, 0xe2010099, 0x78832187, 0xe1f5e768,
-    0x787d3a7e, 0xe1eacf5f, 0x78775147, 0xe1dfb87f,
-    0x787165e3, 0xe1d4a2c8, 0x786b7852, 0xe1c98e3b,
-    0x78658894, 0xe1be7ad8, 0x785f96a9, 0xe1b368a0,
-    0x7859a292, 0xe1a85793, 0x7853ac4f, 0xe19d47b1,
-    0x784db3e0, 0xe19238fb, 0x7847b946, 0xe1872b72,
-    0x7841bc7f, 0xe17c1f15, 0x783bbd8e, 0xe17113e5,
-    0x7835bc71, 0xe16609e3, 0x782fb92a, 0xe15b0110,
-    0x7829b3b9, 0xe14ff96a, 0x7823ac1d, 0xe144f2f3,
-    0x781da256, 0xe139edac, 0x78179666, 0xe12ee995,
-    0x7811884d, 0xe123e6ad, 0x780b780a, 0xe118e4f6,
-    0x7805659e, 0xe10de470, 0x77ff5109, 0xe102e51c,
-    0x77f93a4b, 0xe0f7e6f9, 0x77f32165, 0xe0ecea09,
-    0x77ed0657, 0xe0e1ee4b, 0x77e6e921, 0xe0d6f3c1,
-    0x77e0c9c3, 0xe0cbfa6a, 0x77daa83d, 0xe0c10247,
-    0x77d48490, 0xe0b60b58, 0x77ce5ebd, 0xe0ab159e,
-    0x77c836c2, 0xe0a0211a, 0x77c20ca1, 0xe0952dcb,
-    0x77bbe05a, 0xe08a3bb2, 0x77b5b1ec, 0xe07f4acf,
-    0x77af8159, 0xe0745b24, 0x77a94ea0, 0xe0696cb0,
-    0x77a319c2, 0xe05e7f74, 0x779ce2be, 0xe053936f,
-    0x7796a996, 0xe048a8a4, 0x77906e49, 0xe03dbf11,
-    0x778a30d8, 0xe032d6b8, 0x7783f143, 0xe027ef99,
-    0x777daf89, 0xe01d09b4, 0x77776bac, 0xe012250a,
-    0x777125ac, 0xe007419b, 0x776add88, 0xdffc5f67,
-    0x77649341, 0xdff17e70, 0x775e46d8, 0xdfe69eb4,
-    0x7757f84c, 0xdfdbc036, 0x7751a79e, 0xdfd0e2f5,
-    0x774b54ce, 0xdfc606f1, 0x7744ffdd, 0xdfbb2c2c,
-    0x773ea8ca, 0xdfb052a5, 0x77384f95, 0xdfa57a5d,
-    0x7731f440, 0xdf9aa354, 0x772b96ca, 0xdf8fcd8b,
-    0x77253733, 0xdf84f902, 0x771ed57c, 0xdf7a25ba,
-    0x771871a5, 0xdf6f53b3, 0x77120bae, 0xdf6482ed,
-    0x770ba398, 0xdf59b369, 0x77053962, 0xdf4ee527,
-    0x76fecd0e, 0xdf441828, 0x76f85e9a, 0xdf394c6b,
-    0x76f1ee09, 0xdf2e81f3, 0x76eb7b58, 0xdf23b8be,
-    0x76e5068a, 0xdf18f0ce, 0x76de8f9e, 0xdf0e2a22,
-    0x76d81695, 0xdf0364bc, 0x76d19b6e, 0xdef8a09b,
-    0x76cb1e2a, 0xdeedddc0, 0x76c49ec9, 0xdee31c2b,
-    0x76be1d4c, 0xded85bdd, 0x76b799b3, 0xdecd9cd7,
-    0x76b113fd, 0xdec2df18, 0x76aa8c2c, 0xdeb822a1,
-    0x76a4023f, 0xdead6773, 0x769d7637, 0xdea2ad8d,
-    0x7696e814, 0xde97f4f1, 0x769057d6, 0xde8d3d9e,
-    0x7689c57d, 0xde828796, 0x7683310b, 0xde77d2d8,
-    0x767c9a7e, 0xde6d1f65, 0x767601d7, 0xde626d3e,
-    0x766f6717, 0xde57bc62, 0x7668ca3e, 0xde4d0cd2,
-    0x76622b4c, 0xde425e8f, 0x765b8a41, 0xde37b199,
-    0x7654e71d, 0xde2d05f1, 0x764e41e2, 0xde225b96,
-    0x76479a8e, 0xde17b28a, 0x7640f123, 0xde0d0acc,
-    0x763a45a0, 0xde02645d, 0x76339806, 0xddf7bf3e,
-    0x762ce855, 0xdded1b6e, 0x7626368d, 0xdde278ef,
-    0x761f82af, 0xddd7d7c1, 0x7618ccba, 0xddcd37e4,
-    0x761214b0, 0xddc29958, 0x760b5a90, 0xddb7fc1e,
-    0x76049e5b, 0xddad6036, 0x75fde011, 0xdda2c5a2,
-    0x75f71fb1, 0xdd982c60, 0x75f05d3d, 0xdd8d9472,
-    0x75e998b5, 0xdd82fdd8, 0x75e2d219, 0xdd786892,
-    0x75dc0968, 0xdd6dd4a2, 0x75d53ea5, 0xdd634206,
-    0x75ce71ce, 0xdd58b0c0, 0x75c7a2e3, 0xdd4e20d0,
-    0x75c0d1e7, 0xdd439236, 0x75b9fed7, 0xdd3904f4,
-    0x75b329b5, 0xdd2e7908, 0x75ac5282, 0xdd23ee74,
-    0x75a5793c, 0xdd196538, 0x759e9de5, 0xdd0edd55,
-    0x7597c07d, 0xdd0456ca, 0x7590e104, 0xdcf9d199,
-    0x7589ff7a, 0xdcef4dc2, 0x75831be0, 0xdce4cb44,
-    0x757c3636, 0xdcda4a21, 0x75754e7c, 0xdccfca59,
-    0x756e64b2, 0xdcc54bec, 0x756778d9, 0xdcbacedb,
-    0x75608af1, 0xdcb05326, 0x75599afa, 0xdca5d8cd,
-    0x7552a8f4, 0xdc9b5fd2, 0x754bb4e1, 0xdc90e834,
-    0x7544bebf, 0xdc8671f3, 0x753dc68f, 0xdc7bfd11,
-    0x7536cc52, 0xdc71898d, 0x752fd008, 0xdc671768,
-    0x7528d1b1, 0xdc5ca6a2, 0x7521d14d, 0xdc52373c,
-    0x751acedd, 0xdc47c936, 0x7513ca60, 0xdc3d5c91,
-    0x750cc3d8, 0xdc32f14d, 0x7505bb44, 0xdc28876a,
-    0x74feb0a5, 0xdc1e1ee9, 0x74f7a3fb, 0xdc13b7c9,
-    0x74f09546, 0xdc09520d, 0x74e98487, 0xdbfeedb3,
-    0x74e271bd, 0xdbf48abd, 0x74db5cea, 0xdbea292b,
-    0x74d4460c, 0xdbdfc8fc, 0x74cd2d26, 0xdbd56a32,
-    0x74c61236, 0xdbcb0cce, 0x74bef53d, 0xdbc0b0ce,
-    0x74b7d63c, 0xdbb65634, 0x74b0b533, 0xdbabfd01,
-    0x74a99221, 0xdba1a534, 0x74a26d08, 0xdb974ece,
-    0x749b45e7, 0xdb8cf9cf, 0x74941cbf, 0xdb82a638,
-    0x748cf190, 0xdb785409, 0x7485c45b, 0xdb6e0342,
-    0x747e951f, 0xdb63b3e5, 0x747763dd, 0xdb5965f1,
-    0x74703095, 0xdb4f1967, 0x7468fb47, 0xdb44ce46,
-    0x7461c3f5, 0xdb3a8491, 0x745a8a9d, 0xdb303c46,
-    0x74534f41, 0xdb25f566, 0x744c11e0, 0xdb1baff2,
-    0x7444d27b, 0xdb116beb, 0x743d9112, 0xdb072950,
-    0x74364da6, 0xdafce821, 0x742f0836, 0xdaf2a860,
-    0x7427c0c3, 0xdae86a0d, 0x7420774d, 0xdade2d28,
-    0x74192bd5, 0xdad3f1b1, 0x7411de5b, 0xdac9b7a9,
-    0x740a8edf, 0xdabf7f11, 0x74033d61, 0xdab547e8,
-    0x73fbe9e2, 0xdaab122f, 0x73f49462, 0xdaa0dde7,
-    0x73ed3ce1, 0xda96ab0f, 0x73e5e360, 0xda8c79a9,
-    0x73de87de, 0xda8249b4, 0x73d72a5d, 0xda781b31,
-    0x73cfcadc, 0xda6dee21, 0x73c8695b, 0xda63c284,
-    0x73c105db, 0xda599859, 0x73b9a05d, 0xda4f6fa3,
-    0x73b238e0, 0xda454860, 0x73aacf65, 0xda3b2292,
-    0x73a363ec, 0xda30fe38, 0x739bf675, 0xda26db54,
-    0x73948701, 0xda1cb9e5, 0x738d1590, 0xda1299ec,
-    0x7385a222, 0xda087b69, 0x737e2cb7, 0xd9fe5e5e,
-    0x7376b551, 0xd9f442c9, 0x736f3bee, 0xd9ea28ac,
-    0x7367c090, 0xd9e01006, 0x73604336, 0xd9d5f8d9,
-    0x7358c3e2, 0xd9cbe325, 0x73514292, 0xd9c1cee9,
-    0x7349bf48, 0xd9b7bc27, 0x73423a04, 0xd9adaadf,
-    0x733ab2c6, 0xd9a39b11, 0x7333298f, 0xd9998cbe,
-    0x732b9e5e, 0xd98f7fe6, 0x73241134, 0xd9857489,
-    0x731c8211, 0xd97b6aa8, 0x7314f0f6, 0xd9716243,
-    0x730d5de3, 0xd9675b5a, 0x7305c8d7, 0xd95d55ef,
-    0x72fe31d5, 0xd9535201, 0x72f698db, 0xd9494f90,
-    0x72eefdea, 0xd93f4e9e, 0x72e76102, 0xd9354f2a,
-    0x72dfc224, 0xd92b5135, 0x72d82150, 0xd92154bf,
-    0x72d07e85, 0xd91759c9, 0x72c8d9c6, 0xd90d6053,
-    0x72c13311, 0xd903685d, 0x72b98a67, 0xd8f971e8,
-    0x72b1dfc9, 0xd8ef7cf4, 0x72aa3336, 0xd8e58982,
-    0x72a284b0, 0xd8db9792, 0x729ad435, 0xd8d1a724,
-    0x729321c7, 0xd8c7b838, 0x728b6d66, 0xd8bdcad0,
-    0x7283b712, 0xd8b3deeb, 0x727bfecc, 0xd8a9f48a,
-    0x72744493, 0xd8a00bae, 0x726c8868, 0xd8962456,
-    0x7264ca4c, 0xd88c3e83, 0x725d0a3e, 0xd8825a35,
-    0x72554840, 0xd878776d, 0x724d8450, 0xd86e962b,
-    0x7245be70, 0xd864b670, 0x723df6a0, 0xd85ad83c,
-    0x72362ce0, 0xd850fb8e, 0x722e6130, 0xd8472069,
-    0x72269391, 0xd83d46cc, 0x721ec403, 0xd8336eb7,
-    0x7216f287, 0xd829982b, 0x720f1f1c, 0xd81fc328,
-    0x720749c3, 0xd815efae, 0x71ff727c, 0xd80c1dbf,
-    0x71f79948, 0xd8024d59, 0x71efbe27, 0xd7f87e7f,
-    0x71e7e118, 0xd7eeb130, 0x71e0021e, 0xd7e4e56c,
-    0x71d82137, 0xd7db1b34, 0x71d03e64, 0xd7d15288,
-    0x71c859a5, 0xd7c78b68, 0x71c072fb, 0xd7bdc5d6,
-    0x71b88a66, 0xd7b401d1, 0x71b09fe7, 0xd7aa3f5a,
-    0x71a8b37c, 0xd7a07e70, 0x71a0c528, 0xd796bf16,
-    0x7198d4ea, 0xd78d014a, 0x7190e2c3, 0xd783450d,
-    0x7188eeb2, 0xd7798a60, 0x7180f8b8, 0xd76fd143,
-    0x717900d6, 0xd76619b6, 0x7171070c, 0xd75c63ba,
-    0x71690b59, 0xd752af4f, 0x71610dbf, 0xd748fc75,
-    0x71590e3e, 0xd73f4b2e, 0x71510cd5, 0xd7359b78,
-    0x71490986, 0xd72bed55, 0x71410450, 0xd72240c5,
-    0x7138fd35, 0xd71895c9, 0x7130f433, 0xd70eec60,
-    0x7128e94c, 0xd705448b, 0x7120dc80, 0xd6fb9e4b,
-    0x7118cdcf, 0xd6f1f99f, 0x7110bd39, 0xd6e85689,
-    0x7108aabf, 0xd6deb508, 0x71009661, 0xd6d5151d,
-    0x70f8801f, 0xd6cb76c9, 0x70f067fb, 0xd6c1da0b,
-    0x70e84df3, 0xd6b83ee4, 0x70e03208, 0xd6aea555,
-    0x70d8143b, 0xd6a50d5d, 0x70cff48c, 0xd69b76fe,
-    0x70c7d2fb, 0xd691e237, 0x70bfaf89, 0xd6884f09,
-    0x70b78a36, 0xd67ebd74, 0x70af6302, 0xd6752d79,
-    0x70a739ed, 0xd66b9f18, 0x709f0ef8, 0xd6621251,
-    0x7096e223, 0xd6588725, 0x708eb36f, 0xd64efd94,
-    0x708682dc, 0xd645759f, 0x707e5069, 0xd63bef46,
-    0x70761c18, 0xd6326a88, 0x706de5e9, 0xd628e767,
-    0x7065addb, 0xd61f65e4, 0x705d73f0, 0xd615e5fd,
-    0x70553828, 0xd60c67b4, 0x704cfa83, 0xd602eb0a,
-    0x7044bb00, 0xd5f96ffd, 0x703c79a2, 0xd5eff690,
-    0x70343667, 0xd5e67ec1, 0x702bf151, 0xd5dd0892,
-    0x7023aa5f, 0xd5d39403, 0x701b6193, 0xd5ca2115,
-    0x701316eb, 0xd5c0afc6, 0x700aca69, 0xd5b74019,
-    0x70027c0c, 0xd5add20d, 0x6ffa2bd6, 0xd5a465a3,
-    0x6ff1d9c7, 0xd59afadb, 0x6fe985de, 0xd59191b5,
-    0x6fe1301c, 0xd5882a32, 0x6fd8d882, 0xd57ec452,
-    0x6fd07f0f, 0xd5756016, 0x6fc823c5, 0xd56bfd7d,
-    0x6fbfc6a3, 0xd5629c89, 0x6fb767aa, 0xd5593d3a,
-    0x6faf06da, 0xd54fdf8f, 0x6fa6a433, 0xd5468389,
-    0x6f9e3fb6, 0xd53d292a, 0x6f95d963, 0xd533d070,
-    0x6f8d713a, 0xd52a795d, 0x6f85073c, 0xd52123f0,
-    0x6f7c9b69, 0xd517d02b, 0x6f742dc1, 0xd50e7e0d,
-    0x6f6bbe45, 0xd5052d97, 0x6f634cf5, 0xd4fbdec9,
-    0x6f5ad9d1, 0xd4f291a4, 0x6f5264da, 0xd4e94627,
-    0x6f49ee0f, 0xd4dffc54, 0x6f417573, 0xd4d6b42b,
-    0x6f38fb03, 0xd4cd6dab, 0x6f307ec2, 0xd4c428d6,
-    0x6f2800af, 0xd4bae5ab, 0x6f1f80ca, 0xd4b1a42c,
-    0x6f16ff14, 0xd4a86458, 0x6f0e7b8e, 0xd49f2630,
-    0x6f05f637, 0xd495e9b3, 0x6efd6f10, 0xd48caee4,
-    0x6ef4e619, 0xd48375c1, 0x6eec5b53, 0xd47a3e4b,
-    0x6ee3cebe, 0xd4710883, 0x6edb405a, 0xd467d469,
-    0x6ed2b027, 0xd45ea1fd, 0x6eca1e27, 0xd4557140,
-    0x6ec18a58, 0xd44c4232, 0x6eb8f4bc, 0xd44314d3,
-    0x6eb05d53, 0xd439e923, 0x6ea7c41e, 0xd430bf24,
-    0x6e9f291b, 0xd42796d5, 0x6e968c4d, 0xd41e7037,
-    0x6e8dedb3, 0xd4154b4a, 0x6e854d4d, 0xd40c280e,
-    0x6e7cab1c, 0xd4030684, 0x6e740720, 0xd3f9e6ad,
-    0x6e6b615a, 0xd3f0c887, 0x6e62b9ca, 0xd3e7ac15,
-    0x6e5a1070, 0xd3de9156, 0x6e51654c, 0xd3d5784a,
-    0x6e48b860, 0xd3cc60f2, 0x6e4009aa, 0xd3c34b4f,
-    0x6e37592c, 0xd3ba3760, 0x6e2ea6e6, 0xd3b12526,
-    0x6e25f2d8, 0xd3a814a2, 0x6e1d3d03, 0xd39f05d3,
-    0x6e148566, 0xd395f8ba, 0x6e0bcc03, 0xd38ced57,
-    0x6e0310d9, 0xd383e3ab, 0x6dfa53e9, 0xd37adbb6,
-    0x6df19534, 0xd371d579, 0x6de8d4b8, 0xd368d0f3,
-    0x6de01278, 0xd35fce26, 0x6dd74e73, 0xd356cd11,
-    0x6dce88aa, 0xd34dcdb4, 0x6dc5c11c, 0xd344d011,
-    0x6dbcf7cb, 0xd33bd427, 0x6db42cb6, 0xd332d9f7,
-    0x6dab5fdf, 0xd329e181, 0x6da29144, 0xd320eac6,
-    0x6d99c0e7, 0xd317f5c6, 0x6d90eec8, 0xd30f0280,
-    0x6d881ae8, 0xd30610f7, 0x6d7f4545, 0xd2fd2129,
-    0x6d766de2, 0xd2f43318, 0x6d6d94bf, 0xd2eb46c3,
-    0x6d64b9da, 0xd2e25c2b, 0x6d5bdd36, 0xd2d97350,
-    0x6d52fed2, 0xd2d08c33, 0x6d4a1eaf, 0xd2c7a6d4,
-    0x6d413ccd, 0xd2bec333, 0x6d38592c, 0xd2b5e151,
-    0x6d2f73cd, 0xd2ad012e, 0x6d268cb0, 0xd2a422ca,
-    0x6d1da3d5, 0xd29b4626, 0x6d14b93d, 0xd2926b41,
-    0x6d0bcce8, 0xd289921e, 0x6d02ded7, 0xd280babb,
-    0x6cf9ef09, 0xd277e518, 0x6cf0fd80, 0xd26f1138,
-    0x6ce80a3a, 0xd2663f19, 0x6cdf153a, 0xd25d6ebc,
-    0x6cd61e7f, 0xd254a021, 0x6ccd2609, 0xd24bd34a,
-    0x6cc42bd9, 0xd2430835, 0x6cbb2fef, 0xd23a3ee4,
-    0x6cb2324c, 0xd2317756, 0x6ca932ef, 0xd228b18d,
-    0x6ca031da, 0xd21fed88, 0x6c972f0d, 0xd2172b48,
-    0x6c8e2a87, 0xd20e6acc, 0x6c85244a, 0xd205ac17,
-    0x6c7c1c55, 0xd1fcef27, 0x6c7312a9, 0xd1f433fd,
-    0x6c6a0746, 0xd1eb7a9a, 0x6c60fa2d, 0xd1e2c2fd,
-    0x6c57eb5e, 0xd1da0d28, 0x6c4edada, 0xd1d1591a,
-    0x6c45c8a0, 0xd1c8a6d4, 0x6c3cb4b1, 0xd1bff656,
-    0x6c339f0e, 0xd1b747a0, 0x6c2a87b6, 0xd1ae9ab4,
-    0x6c216eaa, 0xd1a5ef90, 0x6c1853eb, 0xd19d4636,
-    0x6c0f3779, 0xd1949ea6, 0x6c061953, 0xd18bf8e0,
-    0x6bfcf97c, 0xd18354e4, 0x6bf3d7f2, 0xd17ab2b3,
-    0x6beab4b6, 0xd172124d, 0x6be18fc9, 0xd16973b3,
-    0x6bd8692b, 0xd160d6e5, 0x6bcf40dc, 0xd1583be2,
-    0x6bc616dd, 0xd14fa2ad, 0x6bbceb2d, 0xd1470b44,
-    0x6bb3bdce, 0xd13e75a8, 0x6baa8ec0, 0xd135e1d9,
-    0x6ba15e03, 0xd12d4fd9, 0x6b982b97, 0xd124bfa6,
-    0x6b8ef77d, 0xd11c3142, 0x6b85c1b5, 0xd113a4ad,
-    0x6b7c8a3f, 0xd10b19e7, 0x6b73511c, 0xd10290f0,
-    0x6b6a164d, 0xd0fa09c9, 0x6b60d9d0, 0xd0f18472,
-    0x6b579ba8, 0xd0e900ec, 0x6b4e5bd4, 0xd0e07f36,
-    0x6b451a55, 0xd0d7ff51, 0x6b3bd72a, 0xd0cf813e,
-    0x6b329255, 0xd0c704fd, 0x6b294bd5, 0xd0be8a8d,
-    0x6b2003ac, 0xd0b611f1, 0x6b16b9d9, 0xd0ad9b26,
-    0x6b0d6e5c, 0xd0a5262f, 0x6b042137, 0xd09cb30b,
-    0x6afad269, 0xd09441bb, 0x6af181f3, 0xd08bd23f,
-    0x6ae82fd5, 0xd0836497, 0x6adedc10, 0xd07af8c4,
-    0x6ad586a3, 0xd0728ec6, 0x6acc2f90, 0xd06a269d,
-    0x6ac2d6d6, 0xd061c04a, 0x6ab97c77, 0xd0595bcd,
-    0x6ab02071, 0xd050f926, 0x6aa6c2c6, 0xd0489856,
-    0x6a9d6377, 0xd040395d, 0x6a940283, 0xd037dc3b,
-    0x6a8a9fea, 0xd02f80f1, 0x6a813bae, 0xd027277e,
-    0x6a77d5ce, 0xd01ecfe4, 0x6a6e6e4b, 0xd0167a22,
-    0x6a650525, 0xd00e2639, 0x6a5b9a5d, 0xd005d42a,
-    0x6a522df3, 0xcffd83f4, 0x6a48bfe7, 0xcff53597,
-    0x6a3f503a, 0xcfece915, 0x6a35deeb, 0xcfe49e6d,
-    0x6a2c6bfd, 0xcfdc55a1, 0x6a22f76e, 0xcfd40eaf,
-    0x6a19813f, 0xcfcbc999, 0x6a100970, 0xcfc3865e,
-    0x6a069003, 0xcfbb4500, 0x69fd14f6, 0xcfb3057d,
-    0x69f3984c, 0xcfaac7d8, 0x69ea1a03, 0xcfa28c10,
-    0x69e09a1c, 0xcf9a5225, 0x69d71899, 0xcf921a17,
-    0x69cd9578, 0xcf89e3e8, 0x69c410ba, 0xcf81af97,
-    0x69ba8a61, 0xcf797d24, 0x69b1026c, 0xcf714c91,
-    0x69a778db, 0xcf691ddd, 0x699dedaf, 0xcf60f108,
-    0x699460e8, 0xcf58c613, 0x698ad287, 0xcf509cfe,
-    0x6981428c, 0xcf4875ca, 0x6977b0f7, 0xcf405077,
-    0x696e1dc9, 0xcf382d05, 0x69648902, 0xcf300b74,
-    0x695af2a3, 0xcf27ebc5, 0x69515aab, 0xcf1fcdf8,
-    0x6947c11c, 0xcf17b20d, 0x693e25f5, 0xcf0f9805,
-    0x69348937, 0xcf077fe1, 0x692aeae3, 0xceff699f,
-    0x69214af8, 0xcef75541, 0x6917a977, 0xceef42c7,
-    0x690e0661, 0xcee73231, 0x690461b5, 0xcedf2380,
-    0x68fabb75, 0xced716b4, 0x68f113a0, 0xcecf0bcd,
-    0x68e76a37, 0xcec702cb, 0x68ddbf3b, 0xcebefbb0,
-    0x68d412ab, 0xceb6f67a, 0x68ca6488, 0xceaef32b,
-    0x68c0b4d2, 0xcea6f1c2, 0x68b7038b, 0xce9ef241,
-    0x68ad50b1, 0xce96f4a7, 0x68a39c46, 0xce8ef8f4,
-    0x6899e64a, 0xce86ff2a, 0x68902ebd, 0xce7f0748,
-    0x688675a0, 0xce77114e, 0x687cbaf3, 0xce6f1d3d,
-    0x6872feb6, 0xce672b16, 0x686940ea, 0xce5f3ad8,
-    0x685f8190, 0xce574c84, 0x6855c0a6, 0xce4f6019,
-    0x684bfe2f, 0xce47759a, 0x68423a2a, 0xce3f8d05,
-    0x68387498, 0xce37a65b, 0x682ead78, 0xce2fc19c,
-    0x6824e4cc, 0xce27dec9, 0x681b1a94, 0xce1ffde2,
-    0x68114ed0, 0xce181ee8, 0x68078181, 0xce1041d9,
-    0x67fdb2a7, 0xce0866b8, 0x67f3e241, 0xce008d84,
-    0x67ea1052, 0xcdf8b63d, 0x67e03cd8, 0xcdf0e0e4,
-    0x67d667d5, 0xcde90d79, 0x67cc9149, 0xcde13bfd,
-    0x67c2b934, 0xcdd96c6f, 0x67b8df97, 0xcdd19ed0,
-    0x67af0472, 0xcdc9d320, 0x67a527c4, 0xcdc20960,
-    0x679b4990, 0xcdba4190, 0x679169d5, 0xcdb27bb0,
-    0x67878893, 0xcdaab7c0, 0x677da5cb, 0xcda2f5c2,
-    0x6773c17d, 0xcd9b35b4, 0x6769dbaa, 0xcd937798,
-    0x675ff452, 0xcd8bbb6d, 0x67560b76, 0xcd840134,
-    0x674c2115, 0xcd7c48ee, 0x67423530, 0xcd74929a,
-    0x673847c8, 0xcd6cde39, 0x672e58dc, 0xcd652bcb,
-    0x6724686e, 0xcd5d7b50, 0x671a767e, 0xcd55ccca,
-    0x6710830c, 0xcd4e2037, 0x67068e18, 0xcd467599,
-    0x66fc97a3, 0xcd3eccef, 0x66f29fad, 0xcd37263a,
-    0x66e8a637, 0xcd2f817b, 0x66deab41, 0xcd27deb0,
-    0x66d4aecb, 0xcd203ddc, 0x66cab0d6, 0xcd189efe,
-    0x66c0b162, 0xcd110216, 0x66b6b070, 0xcd096725,
-    0x66acadff, 0xcd01ce2b, 0x66a2aa11, 0xccfa3729,
-    0x6698a4a6, 0xccf2a21d, 0x668e9dbd, 0xcceb0f0a,
-    0x66849558, 0xcce37def, 0x667a8b77, 0xccdbeecc,
-    0x6670801a, 0xccd461a2, 0x66667342, 0xccccd671,
-    0x665c64ef, 0xccc54d3a, 0x66525521, 0xccbdc5fc,
-    0x664843d9, 0xccb640b8, 0x663e3117, 0xccaebd6e,
-    0x66341cdb, 0xcca73c1e, 0x662a0727, 0xcc9fbcca,
-    0x661feffa, 0xcc983f70, 0x6615d754, 0xcc90c412,
-    0x660bbd37, 0xcc894aaf, 0x6601a1a2, 0xcc81d349,
-    0x65f78497, 0xcc7a5dde, 0x65ed6614, 0xcc72ea70,
-    0x65e3461b, 0xcc6b78ff, 0x65d924ac, 0xcc64098b,
-    0x65cf01c8, 0xcc5c9c14, 0x65c4dd6e, 0xcc55309b,
-    0x65bab7a0, 0xcc4dc720, 0x65b0905d, 0xcc465fa3,
-    0x65a667a7, 0xcc3efa25, 0x659c3d7c, 0xcc3796a5,
-    0x659211df, 0xcc303524, 0x6587e4cf, 0xcc28d5a3,
-    0x657db64c, 0xcc217822, 0x65738657, 0xcc1a1ca0,
-    0x656954f1, 0xcc12c31f, 0x655f2219, 0xcc0b6b9e,
-    0x6554edd1, 0xcc04161e, 0x654ab818, 0xcbfcc29f,
-    0x654080ef, 0xcbf57121, 0x65364857, 0xcbee21a5,
-    0x652c0e4f, 0xcbe6d42b, 0x6521d2d8, 0xcbdf88b3,
-    0x651795f3, 0xcbd83f3d, 0x650d57a0, 0xcbd0f7ca,
-    0x650317df, 0xcbc9b25a, 0x64f8d6b0, 0xcbc26eee,
-    0x64ee9415, 0xcbbb2d85, 0x64e4500e, 0xcbb3ee20,
-    0x64da0a9a, 0xcbacb0bf, 0x64cfc3ba, 0xcba57563,
-    0x64c57b6f, 0xcb9e3c0b, 0x64bb31ba, 0xcb9704b9,
-    0x64b0e699, 0xcb8fcf6b, 0x64a69a0f, 0xcb889c23,
-    0x649c4c1b, 0xcb816ae1, 0x6491fcbe, 0xcb7a3ba5,
-    0x6487abf7, 0xcb730e70, 0x647d59c8, 0xcb6be341,
-    0x64730631, 0xcb64ba19, 0x6468b132, 0xcb5d92f8,
-    0x645e5acc, 0xcb566ddf, 0x645402ff, 0xcb4f4acd,
-    0x6449a9cc, 0xcb4829c4, 0x643f4f32, 0xcb410ac3,
-    0x6434f332, 0xcb39edca, 0x642a95ce, 0xcb32d2da,
-    0x64203704, 0xcb2bb9f4, 0x6415d6d5, 0xcb24a316,
-    0x640b7543, 0xcb1d8e43, 0x6401124d, 0xcb167b79,
-    0x63f6adf3, 0xcb0f6aba, 0x63ec4837, 0xcb085c05,
-    0x63e1e117, 0xcb014f5b, 0x63d77896, 0xcafa44bc,
-    0x63cd0eb3, 0xcaf33c28, 0x63c2a36f, 0xcaec35a0,
-    0x63b836ca, 0xcae53123, 0x63adc8c4, 0xcade2eb3,
-    0x63a3595e, 0xcad72e4f, 0x6398e898, 0xcad02ff8,
-    0x638e7673, 0xcac933ae, 0x638402ef, 0xcac23971,
-    0x63798e0d, 0xcabb4141, 0x636f17cc, 0xcab44b1f,
-    0x6364a02e, 0xcaad570c, 0x635a2733, 0xcaa66506,
-    0x634facda, 0xca9f750f, 0x63453125, 0xca988727,
-    0x633ab414, 0xca919b4e, 0x633035a7, 0xca8ab184,
-    0x6325b5df, 0xca83c9ca, 0x631b34bc, 0xca7ce420,
-    0x6310b23e, 0xca760086, 0x63062e67, 0xca6f1efc,
-    0x62fba936, 0xca683f83, 0x62f122ab, 0xca61621b,
-    0x62e69ac8, 0xca5a86c4, 0x62dc118c, 0xca53ad7e,
-    0x62d186f8, 0xca4cd64b, 0x62c6fb0c, 0xca460129,
-    0x62bc6dca, 0xca3f2e19, 0x62b1df30, 0xca385d1d,
-    0x62a74f40, 0xca318e32, 0x629cbdfa, 0xca2ac15b,
-    0x62922b5e, 0xca23f698, 0x6287976e, 0xca1d2de7,
-    0x627d0228, 0xca16674b, 0x62726b8e, 0xca0fa2c3,
-    0x6267d3a0, 0xca08e04f, 0x625d3a5e, 0xca021fef,
-    0x62529fca, 0xc9fb61a5, 0x624803e2, 0xc9f4a570,
-    0x623d66a8, 0xc9edeb50, 0x6232c81c, 0xc9e73346,
-    0x6228283f, 0xc9e07d51, 0x621d8711, 0xc9d9c973,
-    0x6212e492, 0xc9d317ab, 0x620840c2, 0xc9cc67fa,
-    0x61fd9ba3, 0xc9c5ba60, 0x61f2f534, 0xc9bf0edd,
-    0x61e84d76, 0xc9b86572, 0x61dda46a, 0xc9b1be1e,
-    0x61d2fa0f, 0xc9ab18e3, 0x61c84e67, 0xc9a475bf,
-    0x61bda171, 0xc99dd4b4, 0x61b2f32e, 0xc99735c2,
-    0x61a8439e, 0xc99098e9, 0x619d92c2, 0xc989fe29,
-    0x6192e09b, 0xc9836582, 0x61882d28, 0xc97ccef5,
-    0x617d786a, 0xc9763a83, 0x6172c262, 0xc96fa82a,
-    0x61680b0f, 0xc96917ec, 0x615d5273, 0xc96289c9,
-    0x6152988d, 0xc95bfdc1, 0x6147dd5f, 0xc95573d4,
-    0x613d20e8, 0xc94eec03, 0x61326329, 0xc948664d,
-    0x6127a423, 0xc941e2b4, 0x611ce3d5, 0xc93b6137,
-    0x61122240, 0xc934e1d6, 0x61075f65, 0xc92e6492,
-    0x60fc9b44, 0xc927e96b, 0x60f1d5de, 0xc9217062,
-    0x60e70f32, 0xc91af976, 0x60dc4742, 0xc91484a8,
-    0x60d17e0d, 0xc90e11f7, 0x60c6b395, 0xc907a166,
-    0x60bbe7d8, 0xc90132f2, 0x60b11ad9, 0xc8fac69e,
-    0x60a64c97, 0xc8f45c68, 0x609b7d13, 0xc8edf452,
-    0x6090ac4d, 0xc8e78e5b, 0x6085da46, 0xc8e12a84,
-    0x607b06fe, 0xc8dac8cd, 0x60703275, 0xc8d46936,
-    0x60655cac, 0xc8ce0bc0, 0x605a85a3, 0xc8c7b06b,
-    0x604fad5b, 0xc8c15736, 0x6044d3d4, 0xc8bb0023,
-    0x6039f90f, 0xc8b4ab32, 0x602f1d0b, 0xc8ae5862,
-    0x60243fca, 0xc8a807b4, 0x6019614c, 0xc8a1b928,
-    0x600e8190, 0xc89b6cbf, 0x6003a099, 0xc8952278,
-    0x5ff8be65, 0xc88eda54, 0x5feddaf6, 0xc8889454,
-    0x5fe2f64c, 0xc8825077, 0x5fd81067, 0xc87c0ebd,
-    0x5fcd2948, 0xc875cf28, 0x5fc240ef, 0xc86f91b7,
-    0x5fb7575c, 0xc869566a, 0x5fac6c91, 0xc8631d42,
-    0x5fa1808c, 0xc85ce63e, 0x5f969350, 0xc856b160,
-    0x5f8ba4dc, 0xc8507ea7, 0x5f80b531, 0xc84a4e14,
-    0x5f75c44e, 0xc8441fa6, 0x5f6ad235, 0xc83df35f,
-    0x5f5fdee6, 0xc837c93e, 0x5f54ea62, 0xc831a143,
-    0x5f49f4a8, 0xc82b7b70, 0x5f3efdb9, 0xc82557c3,
-    0x5f340596, 0xc81f363d, 0x5f290c3f, 0xc81916df,
-    0x5f1e11b5, 0xc812f9a9, 0x5f1315f7, 0xc80cde9b,
-    0x5f081907, 0xc806c5b5, 0x5efd1ae4, 0xc800aef7,
-    0x5ef21b90, 0xc7fa9a62, 0x5ee71b0a, 0xc7f487f6,
-    0x5edc1953, 0xc7ee77b3, 0x5ed1166b, 0xc7e8699a,
-    0x5ec61254, 0xc7e25daa, 0x5ebb0d0d, 0xc7dc53e3,
-    0x5eb00696, 0xc7d64c47, 0x5ea4fef0, 0xc7d046d6,
-    0x5e99f61d, 0xc7ca438f, 0x5e8eec1b, 0xc7c44272,
-    0x5e83e0eb, 0xc7be4381, 0x5e78d48e, 0xc7b846ba,
-    0x5e6dc705, 0xc7b24c20, 0x5e62b84f, 0xc7ac53b1,
-    0x5e57a86d, 0xc7a65d6e, 0x5e4c9760, 0xc7a06957,
-    0x5e418528, 0xc79a776c, 0x5e3671c5, 0xc79487ae,
-    0x5e2b5d38, 0xc78e9a1d, 0x5e204781, 0xc788aeb9,
-    0x5e1530a1, 0xc782c582, 0x5e0a1898, 0xc77cde79,
-    0x5dfeff67, 0xc776f99d, 0x5df3e50d, 0xc77116f0,
-    0x5de8c98c, 0xc76b3671, 0x5dddace4, 0xc7655820,
-    0x5dd28f15, 0xc75f7bfe, 0x5dc7701f, 0xc759a20a,
-    0x5dbc5004, 0xc753ca46, 0x5db12ec3, 0xc74df4b1,
-    0x5da60c5d, 0xc748214c, 0x5d9ae8d2, 0xc7425016,
-    0x5d8fc424, 0xc73c8111, 0x5d849e51, 0xc736b43c,
-    0x5d79775c, 0xc730e997, 0x5d6e4f43, 0xc72b2123,
-    0x5d632608, 0xc7255ae0, 0x5d57fbaa, 0xc71f96ce,
-    0x5d4cd02c, 0xc719d4ed, 0x5d41a38c, 0xc714153e,
-    0x5d3675cb, 0xc70e57c0, 0x5d2b46ea, 0xc7089c75,
-    0x5d2016e9, 0xc702e35c, 0x5d14e5c9, 0xc6fd2c75,
-    0x5d09b389, 0xc6f777c1, 0x5cfe802b, 0xc6f1c540,
-    0x5cf34baf, 0xc6ec14f2, 0x5ce81615, 0xc6e666d7,
-    0x5cdcdf5e, 0xc6e0baf0, 0x5cd1a78a, 0xc6db113d,
-    0x5cc66e99, 0xc6d569be, 0x5cbb348d, 0xc6cfc472,
-    0x5caff965, 0xc6ca215c, 0x5ca4bd21, 0xc6c4807a,
-    0x5c997fc4, 0xc6bee1cd, 0x5c8e414b, 0xc6b94554,
-    0x5c8301b9, 0xc6b3ab12, 0x5c77c10e, 0xc6ae1304,
-    0x5c6c7f4a, 0xc6a87d2d, 0x5c613c6d, 0xc6a2e98b,
-    0x5c55f878, 0xc69d5820, 0x5c4ab36b, 0xc697c8eb,
-    0x5c3f6d47, 0xc6923bec, 0x5c34260c, 0xc68cb124,
-    0x5c28ddbb, 0xc6872894, 0x5c1d9454, 0xc681a23a,
-    0x5c1249d8, 0xc67c1e18, 0x5c06fe46, 0xc6769c2e,
-    0x5bfbb1a0, 0xc6711c7b, 0x5bf063e6, 0xc66b9f01,
-    0x5be51518, 0xc66623be, 0x5bd9c537, 0xc660aab5,
-    0x5bce7442, 0xc65b33e4, 0x5bc3223c, 0xc655bf4c,
-    0x5bb7cf23, 0xc6504ced, 0x5bac7af9, 0xc64adcc7,
-    0x5ba125bd, 0xc6456edb, 0x5b95cf71, 0xc6400329,
-    0x5b8a7815, 0xc63a99b1, 0x5b7f1fa9, 0xc6353273,
-    0x5b73c62d, 0xc62fcd6f, 0x5b686ba3, 0xc62a6aa6,
-    0x5b5d100a, 0xc6250a18, 0x5b51b363, 0xc61fabc4,
-    0x5b4655ae, 0xc61a4fac, 0x5b3af6ec, 0xc614f5cf,
-    0x5b2f971e, 0xc60f9e2e, 0x5b243643, 0xc60a48c9,
-    0x5b18d45c, 0xc604f5a0, 0x5b0d716a, 0xc5ffa4b3,
-    0x5b020d6c, 0xc5fa5603, 0x5af6a865, 0xc5f5098f,
-    0x5aeb4253, 0xc5efbf58, 0x5adfdb37, 0xc5ea775e,
-    0x5ad47312, 0xc5e531a1, 0x5ac909e5, 0xc5dfee22,
-    0x5abd9faf, 0xc5daace1, 0x5ab23471, 0xc5d56ddd,
-    0x5aa6c82b, 0xc5d03118, 0x5a9b5adf, 0xc5caf690,
-    0x5a8fec8c, 0xc5c5be47, 0x5a847d33, 0xc5c0883d,
-    0x5a790cd4, 0xc5bb5472, 0x5a6d9b70, 0xc5b622e6,
-    0x5a622907, 0xc5b0f399, 0x5a56b599, 0xc5abc68c,
-    0x5a4b4128, 0xc5a69bbe, 0x5a3fcbb3, 0xc5a17330,
-    0x5a34553b, 0xc59c4ce3, 0x5a28ddc0, 0xc59728d5,
-    0x5a1d6544, 0xc5920708, 0x5a11ebc5, 0xc58ce77c,
-    0x5a067145, 0xc587ca31, 0x59faf5c5, 0xc582af26,
-    0x59ef7944, 0xc57d965d, 0x59e3fbc3, 0xc5787fd6,
-    0x59d87d42, 0xc5736b90, 0x59ccfdc2, 0xc56e598c,
-    0x59c17d44, 0xc56949ca, 0x59b5fbc8, 0xc5643c4a,
-    0x59aa794d, 0xc55f310d, 0x599ef5d6, 0xc55a2812,
-    0x59937161, 0xc555215a, 0x5987ebf0, 0xc5501ce5,
-    0x597c6584, 0xc54b1ab4, 0x5970de1b, 0xc5461ac6,
-    0x596555b8, 0xc5411d1b, 0x5959cc5a, 0xc53c21b4,
-    0x594e4201, 0xc5372891, 0x5942b6af, 0xc53231b3,
-    0x59372a64, 0xc52d3d18, 0x592b9d1f, 0xc5284ac3,
-    0x59200ee3, 0xc5235ab2, 0x59147fae, 0xc51e6ce6,
-    0x5908ef82, 0xc519815f, 0x58fd5e5f, 0xc514981d,
-    0x58f1cc45, 0xc50fb121, 0x58e63935, 0xc50acc6b,
-    0x58daa52f, 0xc505e9fb, 0x58cf1034, 0xc50109d0,
-    0x58c37a44, 0xc4fc2bec, 0x58b7e35f, 0xc4f7504e,
-    0x58ac4b87, 0xc4f276f7, 0x58a0b2bb, 0xc4ed9fe7,
-    0x589518fc, 0xc4e8cb1e, 0x58897e4a, 0xc4e3f89c,
-    0x587de2a7, 0xc4df2862, 0x58724611, 0xc4da5a6f,
-    0x5866a88a, 0xc4d58ec3, 0x585b0a13, 0xc4d0c560,
-    0x584f6aab, 0xc4cbfe45, 0x5843ca53, 0xc4c73972,
-    0x5838290c, 0xc4c276e8, 0x582c86d5, 0xc4bdb6a6,
-    0x5820e3b0, 0xc4b8f8ad, 0x58153f9d, 0xc4b43cfd,
-    0x58099a9c, 0xc4af8397, 0x57fdf4ae, 0xc4aacc7a,
-    0x57f24dd3, 0xc4a617a6, 0x57e6a60c, 0xc4a1651c,
-    0x57dafd59, 0xc49cb4dd, 0x57cf53bb, 0xc49806e7,
-    0x57c3a931, 0xc4935b3c, 0x57b7fdbd, 0xc48eb1db,
-    0x57ac515f, 0xc48a0ac4, 0x57a0a417, 0xc48565f9,
-    0x5794f5e6, 0xc480c379, 0x578946cc, 0xc47c2344,
-    0x577d96ca, 0xc477855a, 0x5771e5e0, 0xc472e9bc,
-    0x5766340f, 0xc46e5069, 0x575a8157, 0xc469b963,
-    0x574ecdb8, 0xc46524a9, 0x57431933, 0xc460923b,
-    0x573763c9, 0xc45c0219, 0x572bad7a, 0xc4577444,
-    0x571ff646, 0xc452e8bc, 0x57143e2d, 0xc44e5f80,
-    0x57088531, 0xc449d892, 0x56fccb51, 0xc44553f2,
-    0x56f1108f, 0xc440d19e, 0x56e554ea, 0xc43c5199,
-    0x56d99864, 0xc437d3e1, 0x56cddafb, 0xc4335877,
-    0x56c21cb2, 0xc42edf5c, 0x56b65d88, 0xc42a688f,
-    0x56aa9d7e, 0xc425f410, 0x569edc94, 0xc42181e0,
-    0x56931acb, 0xc41d11ff, 0x56875823, 0xc418a46d,
-    0x567b949d, 0xc414392b, 0x566fd039, 0xc40fd037,
-    0x56640af7, 0xc40b6994, 0x565844d8, 0xc4070540,
-    0x564c7ddd, 0xc402a33c, 0x5640b606, 0xc3fe4388,
-    0x5634ed53, 0xc3f9e624, 0x562923c5, 0xc3f58b10,
-    0x561d595d, 0xc3f1324e, 0x56118e1a, 0xc3ecdbdc,
-    0x5605c1fd, 0xc3e887bb, 0x55f9f507, 0xc3e435ea,
-    0x55ee2738, 0xc3dfe66c, 0x55e25890, 0xc3db993e,
-    0x55d68911, 0xc3d74e62, 0x55cab8ba, 0xc3d305d8,
-    0x55bee78c, 0xc3cebfa0, 0x55b31587, 0xc3ca7bba,
-    0x55a742ac, 0xc3c63a26, 0x559b6efb, 0xc3c1fae5,
-    0x558f9a76, 0xc3bdbdf6, 0x5583c51b, 0xc3b9835a,
-    0x5577eeec, 0xc3b54b11, 0x556c17e9, 0xc3b1151b,
-    0x55604013, 0xc3ace178, 0x5554676a, 0xc3a8b028,
-    0x55488dee, 0xc3a4812c, 0x553cb3a0, 0xc3a05484,
-    0x5530d881, 0xc39c2a2f, 0x5524fc90, 0xc398022f,
-    0x55191fcf, 0xc393dc82, 0x550d423d, 0xc38fb92a,
-    0x550163dc, 0xc38b9827, 0x54f584ac, 0xc3877978,
-    0x54e9a4ac, 0xc3835d1e, 0x54ddc3de, 0xc37f4319,
-    0x54d1e242, 0xc37b2b6a, 0x54c5ffd9, 0xc377160f,
-    0x54ba1ca3, 0xc373030a, 0x54ae38a0, 0xc36ef25b,
-    0x54a253d1, 0xc36ae401, 0x54966e36, 0xc366d7fd,
-    0x548a87d1, 0xc362ce50, 0x547ea0a0, 0xc35ec6f8,
-    0x5472b8a5, 0xc35ac1f7, 0x5466cfe1, 0xc356bf4d,
-    0x545ae653, 0xc352bef9, 0x544efbfc, 0xc34ec0fc,
-    0x544310dd, 0xc34ac556, 0x543724f5, 0xc346cc07,
-    0x542b3846, 0xc342d510, 0x541f4ad1, 0xc33ee070,
-    0x54135c94, 0xc33aee27, 0x54076d91, 0xc336fe37,
-    0x53fb7dc9, 0xc333109e, 0x53ef8d3c, 0xc32f255e,
-    0x53e39be9, 0xc32b3c75, 0x53d7a9d3, 0xc32755e5,
-    0x53cbb6f8, 0xc32371ae, 0x53bfc35b, 0xc31f8fcf,
-    0x53b3cefa, 0xc31bb049, 0x53a7d9d7, 0xc317d31c,
-    0x539be3f2, 0xc313f848, 0x538fed4b, 0xc3101fce,
-    0x5383f5e3, 0xc30c49ad, 0x5377fdbb, 0xc30875e5,
-    0x536c04d2, 0xc304a477, 0x53600b2a, 0xc300d563,
-    0x535410c3, 0xc2fd08a9, 0x5348159d, 0xc2f93e4a,
-    0x533c19b8, 0xc2f57644, 0x53301d16, 0xc2f1b099,
-    0x53241fb6, 0xc2eded49, 0x5318219a, 0xc2ea2c53,
-    0x530c22c1, 0xc2e66db8, 0x5300232c, 0xc2e2b178,
-    0x52f422db, 0xc2def794, 0x52e821cf, 0xc2db400a,
-    0x52dc2009, 0xc2d78add, 0x52d01d89, 0xc2d3d80a,
-    0x52c41a4f, 0xc2d02794, 0x52b8165b, 0xc2cc7979,
-    0x52ac11af, 0xc2c8cdbb, 0x52a00c4b, 0xc2c52459,
-    0x5294062f, 0xc2c17d52, 0x5287ff5b, 0xc2bdd8a9,
-    0x527bf7d1, 0xc2ba365c, 0x526fef90, 0xc2b6966c,
-    0x5263e699, 0xc2b2f8d8, 0x5257dced, 0xc2af5da2,
-    0x524bd28c, 0xc2abc4c9, 0x523fc776, 0xc2a82e4d,
-    0x5233bbac, 0xc2a49a2e, 0x5227af2e, 0xc2a1086d,
-    0x521ba1fd, 0xc29d790a, 0x520f941a, 0xc299ec05,
-    0x52038584, 0xc296615d, 0x51f7763c, 0xc292d914,
-    0x51eb6643, 0xc28f5329, 0x51df5599, 0xc28bcf9c,
-    0x51d3443f, 0xc2884e6e, 0x51c73235, 0xc284cf9f,
-    0x51bb1f7c, 0xc281532e, 0x51af0c13, 0xc27dd91c,
-    0x51a2f7fc, 0xc27a616a, 0x5196e337, 0xc276ec16,
-    0x518acdc4, 0xc2737922, 0x517eb7a4, 0xc270088e,
-    0x5172a0d7, 0xc26c9a58, 0x5166895f, 0xc2692e83,
-    0x515a713a, 0xc265c50e, 0x514e586a, 0xc2625df8,
-    0x51423ef0, 0xc25ef943, 0x513624cb, 0xc25b96ee,
-    0x512a09fc, 0xc25836f9, 0x511dee84, 0xc254d965,
-    0x5111d263, 0xc2517e31, 0x5105b599, 0xc24e255e,
-    0x50f99827, 0xc24aceed, 0x50ed7a0e, 0xc2477adc,
-    0x50e15b4e, 0xc244292c, 0x50d53be7, 0xc240d9de,
-    0x50c91bda, 0xc23d8cf1, 0x50bcfb28, 0xc23a4265,
-    0x50b0d9d0, 0xc236fa3b, 0x50a4b7d3, 0xc233b473,
-    0x50989532, 0xc230710d, 0x508c71ee, 0xc22d3009,
-    0x50804e06, 0xc229f167, 0x5074297b, 0xc226b528,
-    0x5068044e, 0xc2237b4b, 0x505bde7f, 0xc22043d0,
-    0x504fb80e, 0xc21d0eb8, 0x504390fd, 0xc219dc03,
-    0x5037694b, 0xc216abb1, 0x502b40f8, 0xc2137dc2,
-    0x501f1807, 0xc2105236, 0x5012ee76, 0xc20d290d,
-    0x5006c446, 0xc20a0248, 0x4ffa9979, 0xc206dde6,
-    0x4fee6e0d, 0xc203bbe8, 0x4fe24205, 0xc2009c4e,
-    0x4fd6155f, 0xc1fd7f17, 0x4fc9e81e, 0xc1fa6445,
-    0x4fbdba40, 0xc1f74bd6, 0x4fb18bc8, 0xc1f435cc,
-    0x4fa55cb4, 0xc1f12227, 0x4f992d06, 0xc1ee10e5,
-    0x4f8cfcbe, 0xc1eb0209, 0x4f80cbdc, 0xc1e7f591,
-    0x4f749a61, 0xc1e4eb7e, 0x4f68684e, 0xc1e1e3d0,
-    0x4f5c35a3, 0xc1dede87, 0x4f500260, 0xc1dbdba3,
-    0x4f43ce86, 0xc1d8db25, 0x4f379a16, 0xc1d5dd0c,
-    0x4f2b650f, 0xc1d2e158, 0x4f1f2f73, 0xc1cfe80a,
-    0x4f12f941, 0xc1ccf122, 0x4f06c27a, 0xc1c9fca0,
-    0x4efa8b20, 0xc1c70a84, 0x4eee5331, 0xc1c41ace,
-    0x4ee21aaf, 0xc1c12d7e, 0x4ed5e19a, 0xc1be4294,
-    0x4ec9a7f3, 0xc1bb5a11, 0x4ebd6db9, 0xc1b873f5,
-    0x4eb132ef, 0xc1b5903f, 0x4ea4f793, 0xc1b2aef0,
-    0x4e98bba7, 0xc1afd007, 0x4e8c7f2a, 0xc1acf386,
-    0x4e80421e, 0xc1aa196c, 0x4e740483, 0xc1a741b9,
-    0x4e67c65a, 0xc1a46c6e, 0x4e5b87a2, 0xc1a1998a,
-    0x4e4f485c, 0xc19ec90d, 0x4e430889, 0xc19bfaf9,
-    0x4e36c82a, 0xc1992f4c, 0x4e2a873e, 0xc1966606,
-    0x4e1e45c6, 0xc1939f29, 0x4e1203c3, 0xc190dab4,
-    0x4e05c135, 0xc18e18a7, 0x4df97e1d, 0xc18b5903,
-    0x4ded3a7b, 0xc1889bc6, 0x4de0f64f, 0xc185e0f3,
-    0x4dd4b19a, 0xc1832888, 0x4dc86c5d, 0xc1807285,
-    0x4dbc2698, 0xc17dbeec, 0x4dafe04b, 0xc17b0dbb,
-    0x4da39978, 0xc1785ef4, 0x4d97521d, 0xc175b296,
-    0x4d8b0a3d, 0xc17308a1, 0x4d7ec1d6, 0xc1706115,
-    0x4d7278eb, 0xc16dbbf3, 0x4d662f7b, 0xc16b193a,
-    0x4d59e586, 0xc16878eb, 0x4d4d9b0e, 0xc165db05,
-    0x4d415013, 0xc1633f8a, 0x4d350495, 0xc160a678,
-    0x4d28b894, 0xc15e0fd1, 0x4d1c6c11, 0xc15b7b94,
-    0x4d101f0e, 0xc158e9c1, 0x4d03d189, 0xc1565a58,
-    0x4cf78383, 0xc153cd5a, 0x4ceb34fe, 0xc15142c6,
-    0x4cdee5f9, 0xc14eba9d, 0x4cd29676, 0xc14c34df,
-    0x4cc64673, 0xc149b18b, 0x4cb9f5f3, 0xc14730a3,
-    0x4cada4f5, 0xc144b225, 0x4ca1537a, 0xc1423613,
-    0x4c950182, 0xc13fbc6c, 0x4c88af0e, 0xc13d4530,
-    0x4c7c5c1e, 0xc13ad060, 0x4c7008b3, 0xc1385dfb,
-    0x4c63b4ce, 0xc135ee02, 0x4c57606e, 0xc1338075,
-    0x4c4b0b94, 0xc1311553, 0x4c3eb641, 0xc12eac9d,
-    0x4c326075, 0xc12c4653, 0x4c260a31, 0xc129e276,
-    0x4c19b374, 0xc1278104, 0x4c0d5c41, 0xc12521ff,
-    0x4c010496, 0xc122c566, 0x4bf4ac75, 0xc1206b39,
-    0x4be853de, 0xc11e1379, 0x4bdbfad1, 0xc11bbe26,
-    0x4bcfa150, 0xc1196b3f, 0x4bc34759, 0xc1171ac6,
-    0x4bb6ecef, 0xc114ccb9, 0x4baa9211, 0xc1128119,
-    0x4b9e36c0, 0xc11037e6, 0x4b91dafc, 0xc10df120,
-    0x4b857ec7, 0xc10bacc8, 0x4b79221f, 0xc1096add,
-    0x4b6cc506, 0xc1072b5f, 0x4b60677c, 0xc104ee4f,
-    0x4b540982, 0xc102b3ac, 0x4b47ab19, 0xc1007b77,
-    0x4b3b4c40, 0xc0fe45b0, 0x4b2eecf8, 0xc0fc1257,
-    0x4b228d42, 0xc0f9e16b, 0x4b162d1d, 0xc0f7b2ee,
-    0x4b09cc8c, 0xc0f586df, 0x4afd6b8d, 0xc0f35d3e,
-    0x4af10a22, 0xc0f1360b, 0x4ae4a84b, 0xc0ef1147,
-    0x4ad84609, 0xc0eceef1, 0x4acbe35b, 0xc0eacf09,
-    0x4abf8043, 0xc0e8b190, 0x4ab31cc1, 0xc0e69686,
-    0x4aa6b8d5, 0xc0e47deb, 0x4a9a5480, 0xc0e267be,
-    0x4a8defc3, 0xc0e05401, 0x4a818a9d, 0xc0de42b2,
-    0x4a752510, 0xc0dc33d2, 0x4a68bf1b, 0xc0da2762,
-    0x4a5c58c0, 0xc0d81d61, 0x4a4ff1fe, 0xc0d615cf,
-    0x4a438ad7, 0xc0d410ad, 0x4a37234a, 0xc0d20dfa,
-    0x4a2abb59, 0xc0d00db6, 0x4a1e5303, 0xc0ce0fe3,
-    0x4a11ea49, 0xc0cc147f, 0x4a05812c, 0xc0ca1b8a,
-    0x49f917ac, 0xc0c82506, 0x49ecadc9, 0xc0c630f2,
-    0x49e04385, 0xc0c43f4d, 0x49d3d8df, 0xc0c25019,
-    0x49c76dd8, 0xc0c06355, 0x49bb0271, 0xc0be7901,
-    0x49ae96aa, 0xc0bc911d, 0x49a22a83, 0xc0baabaa,
-    0x4995bdfd, 0xc0b8c8a7, 0x49895118, 0xc0b6e815,
-    0x497ce3d5, 0xc0b509f3, 0x49707635, 0xc0b32e42,
-    0x49640837, 0xc0b15502, 0x495799dd, 0xc0af7e33,
-    0x494b2b27, 0xc0ada9d4, 0x493ebc14, 0xc0abd7e6,
-    0x49324ca7, 0xc0aa086a, 0x4925dcdf, 0xc0a83b5e,
-    0x49196cbc, 0xc0a670c4, 0x490cfc40, 0xc0a4a89b,
-    0x49008b6a, 0xc0a2e2e3, 0x48f41a3c, 0xc0a11f9d,
-    0x48e7a8b5, 0xc09f5ec8, 0x48db36d6, 0xc09da065,
-    0x48cec4a0, 0xc09be473, 0x48c25213, 0xc09a2af3,
-    0x48b5df30, 0xc09873e4, 0x48a96bf6, 0xc096bf48,
-    0x489cf867, 0xc0950d1d, 0x48908483, 0xc0935d64,
-    0x4884104b, 0xc091b01d, 0x48779bbe, 0xc0900548,
-    0x486b26de, 0xc08e5ce5, 0x485eb1ab, 0xc08cb6f5,
-    0x48523c25, 0xc08b1376, 0x4845c64d, 0xc089726a,
-    0x48395024, 0xc087d3d0, 0x482cd9a9, 0xc08637a9,
-    0x482062de, 0xc0849df4, 0x4813ebc2, 0xc08306b2,
-    0x48077457, 0xc08171e2, 0x47fafc9c, 0xc07fdf85,
-    0x47ee8493, 0xc07e4f9b, 0x47e20c3b, 0xc07cc223,
-    0x47d59396, 0xc07b371e, 0x47c91aa3, 0xc079ae8c,
-    0x47bca163, 0xc078286e, 0x47b027d7, 0xc076a4c2,
-    0x47a3adff, 0xc0752389, 0x479733dc, 0xc073a4c3,
-    0x478ab96e, 0xc0722871, 0x477e3eb5, 0xc070ae92,
-    0x4771c3b3, 0xc06f3726, 0x47654867, 0xc06dc22e,
-    0x4758ccd2, 0xc06c4fa8, 0x474c50f4, 0xc06adf97,
-    0x473fd4cf, 0xc06971f9, 0x47335862, 0xc06806ce,
-    0x4726dbae, 0xc0669e18, 0x471a5eb3, 0xc06537d4,
-    0x470de172, 0xc063d405, 0x470163eb, 0xc06272aa,
-    0x46f4e620, 0xc06113c2, 0x46e86810, 0xc05fb74e,
-    0x46dbe9bb, 0xc05e5d4e, 0x46cf6b23, 0xc05d05c3,
-    0x46c2ec48, 0xc05bb0ab, 0x46b66d29, 0xc05a5e07,
-    0x46a9edc9, 0xc0590dd8, 0x469d6e27, 0xc057c01d,
-    0x4690ee44, 0xc05674d6, 0x46846e1f, 0xc0552c03,
-    0x4677edbb, 0xc053e5a5, 0x466b6d16, 0xc052a1bb,
-    0x465eec33, 0xc0516045, 0x46526b10, 0xc0502145,
-    0x4645e9af, 0xc04ee4b8, 0x46396810, 0xc04daaa1,
-    0x462ce634, 0xc04c72fe, 0x4620641a, 0xc04b3dcf,
-    0x4613e1c5, 0xc04a0b16, 0x46075f33, 0xc048dad1,
-    0x45fadc66, 0xc047ad01, 0x45ee595d, 0xc04681a6,
-    0x45e1d61b, 0xc04558c0, 0x45d5529e, 0xc044324f,
-    0x45c8cee7, 0xc0430e53, 0x45bc4af8, 0xc041eccc,
-    0x45afc6d0, 0xc040cdba, 0x45a3426f, 0xc03fb11d,
-    0x4596bdd7, 0xc03e96f6, 0x458a3908, 0xc03d7f44,
-    0x457db403, 0xc03c6a07, 0x45712ec7, 0xc03b573f,
-    0x4564a955, 0xc03a46ed, 0x455823ae, 0xc0393910,
-    0x454b9dd3, 0xc0382da8, 0x453f17c3, 0xc03724b6,
-    0x4532917f, 0xc0361e3a, 0x45260b08, 0xc0351a33,
-    0x4519845e, 0xc03418a2, 0x450cfd82, 0xc0331986,
-    0x45007674, 0xc0321ce0, 0x44f3ef35, 0xc03122b0,
-    0x44e767c5, 0xc0302af5, 0x44dae024, 0xc02f35b1,
-    0x44ce5854, 0xc02e42e2, 0x44c1d054, 0xc02d5289,
-    0x44b54825, 0xc02c64a6, 0x44a8bfc7, 0xc02b7939,
-    0x449c373c, 0xc02a9042, 0x448fae83, 0xc029a9c1,
-    0x4483259d, 0xc028c5b6, 0x44769c8b, 0xc027e421,
-    0x446a134c, 0xc0270502, 0x445d89e2, 0xc0262859,
-    0x4451004d, 0xc0254e27, 0x4444768d, 0xc024766a,
-    0x4437eca4, 0xc023a124, 0x442b6290, 0xc022ce54,
-    0x441ed854, 0xc021fdfb, 0x44124dee, 0xc0213018,
-    0x4405c361, 0xc02064ab, 0x43f938ac, 0xc01f9bb5,
-    0x43ecadcf, 0xc01ed535, 0x43e022cc, 0xc01e112b,
-    0x43d397a3, 0xc01d4f99, 0x43c70c54, 0xc01c907c,
-    0x43ba80df, 0xc01bd3d6, 0x43adf546, 0xc01b19a7,
-    0x43a16988, 0xc01a61ee, 0x4394dda7, 0xc019acac,
-    0x438851a2, 0xc018f9e1, 0x437bc57b, 0xc018498c,
-    0x436f3931, 0xc0179bae, 0x4362acc5, 0xc016f047,
-    0x43562038, 0xc0164757, 0x43499389, 0xc015a0dd,
-    0x433d06bb, 0xc014fcda, 0x433079cc, 0xc0145b4e,
-    0x4323ecbe, 0xc013bc39, 0x43175f91, 0xc0131f9b,
-    0x430ad245, 0xc0128574, 0x42fe44dc, 0xc011edc3,
-    0x42f1b755, 0xc011588a, 0x42e529b0, 0xc010c5c7,
-    0x42d89bf0, 0xc010357c, 0x42cc0e13, 0xc00fa7a8,
-    0x42bf801a, 0xc00f1c4a, 0x42b2f207, 0xc00e9364,
-    0x42a663d8, 0xc00e0cf5, 0x4299d590, 0xc00d88fd,
-    0x428d472e, 0xc00d077c, 0x4280b8b3, 0xc00c8872,
-    0x42742a1f, 0xc00c0be0, 0x42679b73, 0xc00b91c4,
-    0x425b0caf, 0xc00b1a20, 0x424e7dd4, 0xc00aa4f3,
-    0x4241eee2, 0xc00a323d, 0x42355fd9, 0xc009c1ff,
-    0x4228d0bb, 0xc0095438, 0x421c4188, 0xc008e8e8,
-    0x420fb240, 0xc008800f, 0x420322e3, 0xc00819ae,
-    0x41f69373, 0xc007b5c4, 0x41ea03ef, 0xc0075452,
-    0x41dd7459, 0xc006f556, 0x41d0e4b0, 0xc00698d3,
-    0x41c454f5, 0xc0063ec6, 0x41b7c528, 0xc005e731,
-    0x41ab354b, 0xc0059214, 0x419ea55d, 0xc0053f6e,
-    0x4192155f, 0xc004ef3f, 0x41858552, 0xc004a188,
-    0x4178f536, 0xc0045648, 0x416c650b, 0xc0040d80,
-    0x415fd4d2, 0xc003c72f, 0x4153448c, 0xc0038356,
-    0x4146b438, 0xc00341f4, 0x413a23d8, 0xc003030a,
-    0x412d936c, 0xc002c697, 0x412102f4, 0xc0028c9c,
-    0x41147271, 0xc0025519, 0x4107e1e3, 0xc002200d,
-    0x40fb514b, 0xc001ed78, 0x40eec0aa, 0xc001bd5c,
-    0x40e22fff, 0xc0018fb6, 0x40d59f4c, 0xc0016489,
-    0x40c90e90, 0xc0013bd3, 0x40bc7dcc, 0xc0011594,
-    0x40afed02, 0xc000f1ce, 0x40a35c30, 0xc000d07e,
-    0x4096cb58, 0xc000b1a7, 0x408a3a7b, 0xc0009547,
-    0x407da998, 0xc0007b5f, 0x407118b0, 0xc00063ee,
-    0x406487c4, 0xc0004ef5, 0x4057f6d4, 0xc0003c74,
-    0x404b65e1, 0xc0002c6a, 0x403ed4ea, 0xc0001ed8,
-    0x403243f1, 0xc00013bd, 0x4025b2f7, 0xc0000b1a,
-    0x401921fb, 0xc00004ef, 0x400c90fe, 0xc000013c,
-};
-
-/**    
-* @brief  Initialization function for the Q31 RFFT/RIFFT.   
-* @param[in, out] *S             points to an instance of the Q31 RFFT/RIFFT structure.   
-* @param[in]      fftLenReal     length of the FFT.   
-* @param[in]      ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
-* @param[in]      bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value.   
-*    
-* \par Description:   
-* \par   
-* The parameter fftLenReal	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.    
-* \par    
-* The parameter ifftFlagR controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par    7
-* This function also initializes Twiddle factor table.    
-*/
-
-arm_status arm_rfft_init_q31(
-    arm_rfft_instance_q31 * S,
-    uint32_t fftLenReal,
-    uint32_t ifftFlagR,
-    uint32_t bitReverseFlag)
-{
-    /*  Initialise the default arm status */
-    arm_status status = ARM_MATH_SUCCESS;
-
-    /*  Initialize the Real FFT length */
-    S->fftLenReal = (uint16_t) fftLenReal;
-
-    /*  Initialize the Twiddle coefficientA pointer */
-    S->pTwiddleAReal = (q31_t *) realCoefAQ31;
-
-    /*  Initialize the Twiddle coefficientB pointer */
-    S->pTwiddleBReal = (q31_t *) realCoefBQ31;
-
-    /*  Initialize the Flag for selection of RFFT or RIFFT */
-    S->ifftFlagR = (uint8_t) ifftFlagR;
-
-    /*  Initialize the Flag for calculation Bit reversal or not */
-    S->bitReverseFlagR = (uint8_t) bitReverseFlag;
-
-    /*  Initialization of coef modifier depending on the FFT length */
-    switch (S->fftLenReal)
-    {
-    case 8192u:
-        S->twidCoefRModifier = 1u;
-        S->pCfft = &arm_cfft_sR_q31_len4096;
-        break;
-    case 4096u:
-        S->twidCoefRModifier = 2u;
-        S->pCfft = &arm_cfft_sR_q31_len2048;
-        break;
-    case 2048u:
-        S->twidCoefRModifier = 4u;
-        S->pCfft = &arm_cfft_sR_q31_len1024;
-        break;
-    case 1024u:
-        S->twidCoefRModifier = 8u;
-        S->pCfft = &arm_cfft_sR_q31_len512;
-        break;
-    case 512u:
-        S->twidCoefRModifier = 16u;
-        S->pCfft = &arm_cfft_sR_q31_len256;
-        break;
-    case 256u:
-        S->twidCoefRModifier = 32u;
-        S->pCfft = &arm_cfft_sR_q31_len128;
-        break;
-    case 128u:
-        S->twidCoefRModifier = 64u;
-        S->pCfft = &arm_cfft_sR_q31_len64;
-        break;
-    case 64u:
-        S->twidCoefRModifier = 128u;
-        S->pCfft = &arm_cfft_sR_q31_len32;
-        break;
-    case 32u:
-        S->twidCoefRModifier = 256u;
-        S->pCfft = &arm_cfft_sR_q31_len16;
-        break;
-    default:
-        /*  Reporting argument error if rfftSize is not valid value */
-        status = ARM_MATH_ARGUMENT_ERROR;
-        break;
-    }
-
-    /* return the status of RFFT Init function */
-    return (status);
-}
-
-/**    
-* @} end of RealFFT group    
-*/
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q15.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q15.c
deleted file mode 100644
index 6e76b9c2..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q15.c
+++ /dev/null
@@ -1,439 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_q15.c    
-*    
-* Description:	RFFT & RIFFT Q15 process function    
-*    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.     
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/*--------------------------------------------------------------------    
-*		Internal functions prototypes    
---------------------------------------------------------------------*/
-
-void arm_split_rfft_q15(
-    q15_t * pSrc,
-    uint32_t fftLen,
-    q15_t * pATable,
-    q15_t * pBTable,
-    q15_t * pDst,
-    uint32_t modifier);
-
-void arm_split_rifft_q15(
-    q15_t * pSrc,
-    uint32_t fftLen,
-    q15_t * pATable,
-    q15_t * pBTable,
-    q15_t * pDst,
-    uint32_t modifier);
-
-/**    
-* @addtogroup RealFFT    
-* @{    
-*/
-
-/**    
-* @brief Processing function for the Q15 RFFT/RIFFT.   
-* @param[in]  *S    points to an instance of the Q15 RFFT/RIFFT structure.   
-* @param[in]  *pSrc points to the input buffer.   
-* @param[out] *pDst points to the output buffer.   
-* @return none.   
-*    
-* \par Input an output formats:   
-* \par    
-* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.    
-* Hence the output format is different for different RFFT sizes.    
-* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:   
-* \par    
-* \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT"    
-* \par    
-* \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT"    
-*/
-
-void arm_rfft_q15(
-    const arm_rfft_instance_q15 * S,
-    q15_t * pSrc,
-    q15_t * pDst)
-{
-    const arm_cfft_instance_q15 *S_CFFT = S->pCfft;
-    uint32_t i;
-    uint32_t L2 = S->fftLenReal >> 1;
-
-    /* Calculation of RIFFT of input */
-    if(S->ifftFlagR == 1u)
-    {
-        /*  Real IFFT core process */
-        arm_split_rifft_q15(pSrc, L2, S->pTwiddleAReal,
-                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-        
-        /* Complex IFFT process */
-        arm_cfft_q15(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
-        
-        for(i=0;ifftLenReal;i++)
-        {
-            pDst[i] = pDst[i] << 1;
-        }
-    }
-    else
-    {
-        /* Calculation of RFFT of input */
-        
-        /* Complex FFT process */
-        arm_cfft_q15(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
-
-        /*  Real FFT core process */
-        arm_split_rfft_q15(pSrc, L2, S->pTwiddleAReal,
-                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-    }
-}
-
-/**    
-* @} end of RealFFT group    
-*/
-
-/**    
-* @brief  Core Real FFT process    
-* @param  *pSrc 				points to the input buffer.   
-* @param  fftLen  				length of FFT.   
-* @param  *pATable 			points to the A twiddle Coef buffer.    
-* @param  *pBTable 			points to the B twiddle Coef buffer.   
-* @param  *pDst 				points to the output buffer.   
-* @param  modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
-* @return none.    
-* The function implements a Real FFT    
-*/
-
-void arm_split_rfft_q15(
-    q15_t * pSrc,
-    uint32_t fftLen,
-    q15_t * pATable,
-    q15_t * pBTable,
-    q15_t * pDst,
-    uint32_t modifier)
-{
-    uint32_t i;                                    /* Loop Counter */
-    q31_t outR, outI;                              /* Temporary variables for output */
-    q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-    q15_t *pSrc1, *pSrc2;
-#ifndef ARM_MATH_CM0_FAMILY
-    q15_t *pD1, *pD2;
-#endif
-
-    //  pSrc[2u * fftLen] = pSrc[0]; 
-    //  pSrc[(2u * fftLen) + 1u] = pSrc[1]; 
-
-    pCoefA = &pATable[modifier * 2u];
-    pCoefB = &pBTable[modifier * 2u];
-
-    pSrc1 = &pSrc[2];
-    pSrc2 = &pSrc[(2u * fftLen) - 2u];
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-    i = 1u;
-    pD1 = pDst + 2;
-    pD2 = pDst + (4u * fftLen) - 2;
-
-    for(i = fftLen - 1; i > 0; i--)
-    {
-        /*    
-        outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-        + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-        */
-
-        /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
-
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */
-        outR = __SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA));
-
-#else
-
-        /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */
-        outR = -(__SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA)));
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
-        outR = __SMLAD(*__SIMD32(pSrc2), *__SIMD32(pCoefB), outR) >> 16u;
-
-        /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        outI = __SMUSDX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
-
-#else
-
-        outI = __SMUSDX(*__SIMD32(pCoefB), *__SIMD32(pSrc2)--);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */
-        outI = __SMLADX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), outI);
-
-        /* write output */
-        *pD1++ = (q15_t) outR;
-        *pD1++ = outI >> 16u;
-
-        /* write complex conjugate output */
-        pD2[0] = (q15_t) outR;
-        pD2[1] = -(outI >> 16u);
-        pD2 -= 2;
-
-        /* update coefficient pointer */
-        pCoefB = pCoefB + (2u * modifier);
-        pCoefA = pCoefA + (2u * modifier);
-    }
-
-    pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
-    pDst[(2u * fftLen) + 1u] = 0;
-
-    pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
-    pDst[1] = 0;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-    i = 1u;
-
-    while(i < fftLen)
-    {
-        /*    
-        outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-        + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-        */
-
-        outR = *pSrc1 * *pCoefA;
-        outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1));
-        outR = outR + (*pSrc2 * *pCoefB);
-        outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 16;
-
-
-        /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
-        */
-
-        outI = *pSrc2 * *(pCoefB + 1);
-        outI = outI - (*(pSrc2 + 1) * *pCoefB);
-        outI = outI + (*(pSrc1 + 1) * *pCoefA);
-        outI = outI + (*pSrc1 * *(pCoefA + 1));
-
-        /* update input pointers */
-        pSrc1 += 2u;
-        pSrc2 -= 2u;
-
-        /* write output */
-        pDst[2u * i] = (q15_t) outR;
-        pDst[(2u * i) + 1u] = outI >> 16u;
-
-        /* write complex conjugate output */
-        pDst[(4u * fftLen) - (2u * i)] = (q15_t) outR;
-        pDst[((4u * fftLen) - (2u * i)) + 1u] = -(outI >> 16u);
-
-        /* update coefficient pointer */
-        pCoefB = pCoefB + (2u * modifier);
-        pCoefA = pCoefA + (2u * modifier);
-
-        i++;
-    }
-
-    pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
-    pDst[(2u * fftLen) + 1u] = 0;
-
-    pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
-    pDst[1] = 0;
-
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-}
-
-
-/**    
-* @brief  Core Real IFFT process    
-* @param[in]   *pSrc 				points to the input buffer.    
-* @param[in]   fftLen  		    length of FFT.   
-* @param[in]   *pATable 			points to the twiddle Coef A buffer.   
-* @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
-* @param[out]  *pDst 				points to the output buffer.   
-* @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
-* @return none.    
-* The function implements a Real IFFT    
-*/
-void arm_split_rifft_q15(
-    q15_t * pSrc,
-    uint32_t fftLen,
-    q15_t * pATable,
-    q15_t * pBTable,
-    q15_t * pDst,
-    uint32_t modifier)
-{
-    uint32_t i;                                    /* Loop Counter */
-    q31_t outR, outI;                              /* Temporary variables for output */
-    q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-    q15_t *pSrc1, *pSrc2;
-    q15_t *pDst1 = &pDst[0];
-
-    pCoefA = &pATable[0];
-    pCoefB = &pBTable[0];
-
-    pSrc1 = &pSrc[0];
-    pSrc2 = &pSrc[2u * fftLen];
-
-#ifndef ARM_MATH_CM0_FAMILY
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-    i = fftLen;
-
-    while(i > 0u)
-    {
-        /*    
-        outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-        pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-
-        outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
-        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);    
-        */
-
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        /* pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
-        outR = __SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB));
-
-#else
-
-        /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] +  
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */
-        outR = -(__SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB)));
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-        pIn[2 * n - 2 * i] * pBTable[2 * i] */
-        outR = __SMLAD(*__SIMD32(pSrc1), *__SIMD32(pCoefA), outR) >> 16u;
-
-        /*    
-        -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] +    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-        outI = __SMUADX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
-
-        /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        outI = __SMLSDX(*__SIMD32(pCoefA), *__SIMD32(pSrc1)++, -outI);
-
-#else
-
-        outI = __SMLSDX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), -outI);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-        /* write output */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *__SIMD32(pDst1)++ = __PKHBT(outR, (outI >> 16u), 16);
-
-#else
-
-        *__SIMD32(pDst1)++ = __PKHBT((outI >> 16u), outR, 16);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* update coefficient pointer */
-        pCoefB = pCoefB + (2u * modifier);
-        pCoefA = pCoefA + (2u * modifier);
-
-        i--;
-    }
-#else
-    /* Run the below code for Cortex-M0 */
-    i = fftLen;
-
-    while(i > 0u)
-    {
-        /*    
-        outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-        pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-        */
-
-        outR = *pSrc2 * *pCoefB;
-        outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1));
-        outR = outR + (*pSrc1 * *pCoefA);
-        outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 16;
-
-        /*   
-        outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -   
-        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -   
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
-        */
-
-        outI = *(pSrc1 + 1) * *pCoefA;
-        outI = outI - (*pSrc1 * *(pCoefA + 1));
-        outI = outI - (*pSrc2 * *(pCoefB + 1));
-        outI = outI - (*(pSrc2 + 1) * *(pCoefB));
-
-        /* update input pointers */
-        pSrc1 += 2u;
-        pSrc2 -= 2u;
-
-        /* write output */
-        *pDst1++ = (q15_t) outR;
-        *pDst1++ = (q15_t) (outI >> 16);
-
-        /* update coefficient pointer */
-        pCoefB = pCoefB + (2u * modifier);
-        pCoefA = pCoefA + (2u * modifier);
-
-        i--;
-    }
-#endif /* #ifndef ARM_MATH_CM0_FAMILY */
-}
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q31.c b/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q31.c
deleted file mode 100644
index 71bba217..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q31.c
+++ /dev/null
@@ -1,296 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
-*    
-* $Date:        19. March 2015 
-* $Revision: 	V.1.4.5  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_q31.c    
-*    
-* Description:	RFFT & RIFFT Q31 process function    
-*    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Redistribution and use in source and binary forms, with or without 
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the 
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/*--------------------------------------------------------------------    
-*		Internal functions prototypes    
---------------------------------------------------------------------*/
-
-void arm_split_rfft_q31(
-    q31_t * pSrc,
-    uint32_t fftLen,
-    q31_t * pATable,
-    q31_t * pBTable,
-    q31_t * pDst,
-    uint32_t modifier);
-
-void arm_split_rifft_q31(
-    q31_t * pSrc,
-    uint32_t fftLen,
-    q31_t * pATable,
-    q31_t * pBTable,
-    q31_t * pDst,
-    uint32_t modifier);
-
-/**    
-* @addtogroup RealFFT    
-* @{    
-*/
-
-/**    
-* @brief Processing function for the Q31 RFFT/RIFFT.   
-* @param[in]  *S    points to an instance of the Q31 RFFT/RIFFT structure.   
-* @param[in]  *pSrc points to the input buffer.   
-* @param[out] *pDst points to the output buffer.   
-* @return none.   
-*    
-* \par Input an output formats:   
-* \par    
-* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
-* Hence the output format is different for different RFFT sizes.    
-* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:   
-* \par    
-* \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT"    
-*    
-* \par    
-* \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT"    
-*/
-void arm_rfft_q31(
-    const arm_rfft_instance_q31 * S,
-    q31_t * pSrc,
-    q31_t * pDst)
-{
-    const arm_cfft_instance_q31 *S_CFFT = S->pCfft;
-    uint32_t i;
-    uint32_t L2 = S->fftLenReal >> 1;
-
-    /* Calculation of RIFFT of input */
-    if(S->ifftFlagR == 1u)
-    {
-        /*  Real IFFT core process */
-        arm_split_rifft_q31(pSrc, L2, S->pTwiddleAReal,
-                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-        
-        /* Complex IFFT process */
-        arm_cfft_q31(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
-        
-        for(i=0;ifftLenReal;i++)
-        {
-            pDst[i] = pDst[i] << 1;
-        }
-    }
-    else
-    {
-        /* Calculation of RFFT of input */
-        
-        /* Complex FFT process */
-        arm_cfft_q31(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
-
-        /*  Real FFT core process */
-        arm_split_rfft_q31(pSrc, L2, S->pTwiddleAReal,
-                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-    }
-}
-
-/**    
-* @} end of RealFFT group    
-*/
-
-/**    
-* @brief  Core Real FFT process    
-* @param[in]   *pSrc 				points to the input buffer.    
-* @param[in]   fftLen  			    length of FFT.   
-* @param[in]   *pATable 			points to the twiddle Coef A buffer.    
-* @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
-* @param[out]  *pDst 				points to the output buffer.    
-* @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
-* @return none.    
-*/
-void arm_split_rfft_q31(
-    q31_t * pSrc,
-    uint32_t fftLen,
-    q31_t * pATable,
-    q31_t * pBTable,
-    q31_t * pDst,
-    uint32_t modifier)
-{
-    uint32_t i;                                    /* Loop Counter */
-    q31_t outR, outI;                              /* Temporary variables for output */
-    q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-    q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
-    q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[(4u * fftLen) - 1u];
-    q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[(2u * fftLen) - 1u];
-
-    /* Init coefficient pointers */
-    pCoefA = &pATable[modifier * 2u];
-    pCoefB = &pBTable[modifier * 2u];
-
-    i = fftLen - 1u;
-
-    while(i > 0u)
-    {
-        /*    
-        outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-        + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-        */
-
-        /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
-
-        CoefA1 = *pCoefA++;
-        CoefA2 = *pCoefA;
-
-        /* outR = (pSrc[2 * i] * pATable[2 * i] */    
-        mult_32x32_keep32_R(outR, *pIn1, CoefA1);
-
-        /* outI = pIn[2 * i] * pATable[2 * i + 1] */
-        mult_32x32_keep32_R(outI, *pIn1++, CoefA2);
-
-        /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */
-        multSub_32x32_keep32_R(outR, *pIn1, CoefA2);
-
-        /* (pIn[2 * i + 1] * pATable[2 * i] */
-        multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1);
-
-        /* pSrc[2 * n - 2 * i] * pBTable[2 * i]  */
-        multSub_32x32_keep32_R(outR, *pIn2, CoefA2);
-        CoefB1 = *pCoefB;
-
-        /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
-        multSub_32x32_keep32_R(outI, *pIn2--, CoefB1);
-
-        /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
-        multAcc_32x32_keep32_R(outR, *pIn2, CoefB1);
-
-        /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-        multSub_32x32_keep32_R(outI, *pIn2--, CoefA2);
-
-        /* write output */
-        *pOut1++ = outR;
-        *pOut1++ = outI;
-
-        /* write complex conjugate output */
-        *pOut2-- = -outI;
-        *pOut2-- = outR;
-
-        /* update coefficient pointer */
-        pCoefB = pCoefB + (modifier * 2u);
-        pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
-        i--;
-    }
-    pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
-    pDst[(2u * fftLen) + 1u] = 0;
-
-    pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
-    pDst[1] = 0;
-}
-
-/**    
-* @brief  Core Real IFFT process    
-* @param[in]   *pSrc 				points to the input buffer.   
-* @param[in]   fftLen  			    length of FFT.    
-* @param[in]   *pATable 			points to the twiddle Coef A buffer.   
-* @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
-* @param[out]  *pDst 				points to the output buffer.   
-* @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
-* @return none.    
-*/
-void arm_split_rifft_q31(
-    q31_t * pSrc,
-    uint32_t fftLen,
-    q31_t * pATable,
-    q31_t * pBTable,
-    q31_t * pDst,
-    uint32_t modifier)
-{
-    q31_t outR, outI;                              /* Temporary variables for output */
-    q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-    q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
-    q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[(2u * fftLen) + 1u];
-
-    pCoefA = &pATable[0];
-    pCoefB = &pBTable[0];
-
-    while(fftLen > 0u)
-    {
-        /*    
-        outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-        pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-
-        outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
-        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
-        */
-        CoefA1 = *pCoefA++;
-        CoefA2 = *pCoefA;
-
-        /* outR = (pIn[2 * i] * pATable[2 * i] */
-        mult_32x32_keep32_R(outR, *pIn1, CoefA1);
-
-        /* - pIn[2 * i] * pATable[2 * i + 1] */
-        mult_32x32_keep32_R(outI, *pIn1++, -CoefA2);
-        
-        /* pIn[2 * i + 1] * pATable[2 * i + 1] */
-        multAcc_32x32_keep32_R(outR, *pIn1, CoefA2);
-
-        /* pIn[2 * i + 1] * pATable[2 * i] */
-        multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1);
-
-        /* pIn[2 * n - 2 * i] * pBTable[2 * i] */
-        multAcc_32x32_keep32_R(outR, *pIn2, CoefA2);
-        CoefB1 = *pCoefB;
-
-        /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
-        multSub_32x32_keep32_R(outI, *pIn2--, CoefB1);
-
-        /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
-        multAcc_32x32_keep32_R(outR, *pIn2, CoefB1);
-
-        /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-        multAcc_32x32_keep32_R(outI, *pIn2--, CoefA2);
-
-        /* write output */
-        *pDst++ = outR;
-        *pDst++ = outI;
-
-        /* update coefficient pointer */
-        pCoefB = pCoefB + (modifier * 2u);
-        pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
-        /* Decrement loop count */
-        fftLen--;
-    }
-}
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Include/stm32f205xx.h b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Include/stm32f205xx.h
index cc72a55c..cdc64d1a 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Include/stm32f205xx.h
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Include/stm32f205xx.h
@@ -2,45 +2,28 @@
   ******************************************************************************
   * @file    stm32f205xx.h
   * @author  MCD Application Team
-  * @version V2.1.0
-  * @date    09-October-2015
   * @brief   CMSIS STM32F205xx Device Peripheral Access Layer Header File. 
+  *
   *          This file contains :  
   *           - Data structures and the address mapping for all peripherals
-  *           - Peripheral's registers declarations and bits definition
+  *           - Peripherals registers declarations and bits definition
   *           - Macros to access peripheral’s registers hardware
   *
   ******************************************************************************
   * @attention
   *
-  * 
© COPYRIGHT(c) 2015 STMicroelectronics

-  *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
+  * 
© Copyright (c) 2017 STMicroelectronics.
+  * All rights reserved.

   *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
   ******************************************************************************
   */
 
-/** @addtogroup CMSIS
+/** @addtogroup CMSIS_Device
   * @{
   */
 
@@ -55,7 +38,6 @@
  extern "C" {
 #endif /* __cplusplus */
   
-
 /** @addtogroup Configuration_section_for_CMSIS
   * @{
   */
@@ -63,10 +45,10 @@
 /**
   * @brief Configuration of the Cortex-M3 Processor and Core Peripherals 
   */
-#define __CM3_REV                 0x0200  /*!< Core revision r0p1                            */
-#define __MPU_PRESENT             1       /*!< STM32F2XX provides an MPU                     */
-#define __NVIC_PRIO_BITS          4       /*!< STM32F2XX uses 4 Bits for the Priority Levels */
-#define __Vendor_SysTickConfig    0       /*!< Set to 1 if different SysTick Config is used  */
+#define __CM3_REV                 0x0200U  /*!< Core revision r0p1                            */
+#define __MPU_PRESENT             1U       /*!< STM32F2XX provides an MPU                     */
+#define __NVIC_PRIO_BITS          4U       /*!< STM32F2XX uses 4 Bits for the Priority Levels */
+#define __Vendor_SysTickConfig    0U       /*!< Set to 1 if different SysTick Config is used  */
 
 /**
   * @}
@@ -84,6 +66,7 @@ typedef enum
 {
 /******  Cortex-M3 Processor Exceptions Numbers ****************************************************************/
   NonMaskableInt_IRQn         = -14,    /*!< 2 Non Maskable Interrupt                                          */
+  HardFault_IRQn              = -13,    /*!< 3 Hard Fault Interrupt                                            */
   MemoryManagement_IRQn       = -12,    /*!< 4 Cortex-M3 Memory Management Interrupt                           */
   BusFault_IRQn               = -11,    /*!< 5 Cortex-M3 Bus Fault Interrupt                                   */
   UsageFault_IRQn             = -10,    /*!< 6 Cortex-M3 Usage Fault Interrupt                                 */
@@ -168,7 +151,7 @@ typedef enum
   OTG_HS_EP1_IN_IRQn          = 75,     /*!< USB OTG HS End Point 1 In global interrupt                        */
   OTG_HS_WKUP_IRQn            = 76,     /*!< USB OTG HS Wakeup through EXTI interrupt                          */
   OTG_HS_IRQn                 = 77,     /*!< USB OTG HS global interrupt                                       */
-  HASH_RNG_IRQn               = 80      /*!< Hash and Rng global interrupt                                     */
+   RNG_IRQn                   = 80      /*!< Rng global interrupt                                     */
 } IRQn_Type;
 
 /**
@@ -483,7 +466,6 @@ typedef struct
   __IO uint32_t SR2;        /*!< I2C Status register 2,      Address offset: 0x18 */
   __IO uint32_t CCR;        /*!< I2C Clock control register, Address offset: 0x1C */
   __IO uint32_t TRISE;      /*!< I2C TRISE register,         Address offset: 0x20 */
-  __IO uint32_t FLTR;       /*!< I2C FLTR register,          Address offset: 0x24 */
 } I2C_TypeDef;
 
 /** 
@@ -696,7 +678,6 @@ typedef struct
   __IO uint32_t SR;   /*!< WWDG Status register,        Address offset: 0x08 */
 } WWDG_TypeDef;
 
-
 /** 
   * @brief RNG
   */
@@ -715,24 +696,24 @@ typedef struct
   */
 typedef struct
 {
-  __IO uint32_t GOTGCTL;      /*!<  USB_OTG Control and Status Register    000h*/
-  __IO uint32_t GOTGINT;      /*!<  USB_OTG Interrupt Register             004h*/
-  __IO uint32_t GAHBCFG;      /*!<  Core AHB Configuration Register    008h*/
-  __IO uint32_t GUSBCFG;      /*!<  Core USB Configuration Register    00Ch*/
-  __IO uint32_t GRSTCTL;      /*!<  Core Reset Register                010h*/
-  __IO uint32_t GINTSTS;      /*!<  Core Interrupt Register            014h*/
-  __IO uint32_t GINTMSK;      /*!<  Core Interrupt Mask Register       018h*/
-  __IO uint32_t GRXSTSR;      /*!<  Receive Sts Q Read Register        01Ch*/
-  __IO uint32_t GRXSTSP;      /*!<  Receive Sts Q Read & POP Register  020h*/
-  __IO uint32_t GRXFSIZ;      /* Receive FIFO Size Register         024h*/
-  __IO uint32_t DIEPTXF0_HNPTXFSIZ;   /*!<  EP0 / Non Periodic Tx FIFO Size Register 028h*/
-  __IO uint32_t HNPTXSTS;     /*!<  Non Periodic Tx FIFO/Queue Sts reg 02Ch*/
-  uint32_t Reserved30[2];     /* Reserved                           030h*/
-  __IO uint32_t GCCFG;        /* General Purpose IO Register        038h*/
-  __IO uint32_t CID;          /* User ID Register                   03Ch*/
-  uint32_t  Reserved40[48];   /* Reserved                      040h-0FFh*/
-  __IO uint32_t HPTXFSIZ; /* Host Periodic Tx FIFO Size Reg     100h*/
-  __IO uint32_t DIEPTXF[0x0F];/* dev Periodic Transmit FIFO */
+  __IO uint32_t GOTGCTL;              /*!<  USB_OTG Control and Status Register    Address offset : 0x00      */
+  __IO uint32_t GOTGINT;              /*!<  USB_OTG Interrupt Register             Address offset : 0x04      */
+  __IO uint32_t GAHBCFG;              /*!<  Core AHB Configuration Register        Address offset : 0x08      */
+  __IO uint32_t GUSBCFG;              /*!<  Core USB Configuration Register        Address offset : 0x0C      */
+  __IO uint32_t GRSTCTL;              /*!<  Core Reset Register                    Address offset : 0x10      */
+  __IO uint32_t GINTSTS;              /*!<  Core Interrupt Register                Address offset : 0x14      */
+  __IO uint32_t GINTMSK;              /*!<  Core Interrupt Mask Register           Address offset : 0x18      */
+  __IO uint32_t GRXSTSR;              /*!<  Receive Sts Q Read Register            Address offset : 0x1C      */
+  __IO uint32_t GRXSTSP;              /*!<  Receive Sts Q Read & POP Register      Address offset : 0x20      */
+  __IO uint32_t GRXFSIZ;              /* Receive FIFO Size Register                Address offset : 0x24      */
+  __IO uint32_t DIEPTXF0_HNPTXFSIZ;   /*!<  EP0 / Non Periodic Tx FIFO Size Register Address offset : 0x28    */
+  __IO uint32_t HNPTXSTS;             /*!<  Non Periodic Tx FIFO/Queue Sts reg     Address offset : 0x2C      */
+  uint32_t Reserved30[2];             /* Reserved                                  Address offset : 0x30      */
+  __IO uint32_t GCCFG;                /*!<  General Purpose IO Register            Address offset : 0x38      */
+  __IO uint32_t CID;                  /*!< User ID Register                          Address offset : 0x3C      */
+  uint32_t  Reserved40[48];           /*!< Reserved                                  Address offset : 0x40-0xFF */
+  __IO uint32_t HPTXFSIZ;             /*!< Host Periodic Tx FIFO Size Reg            Address offset : 0x100 */
+  __IO uint32_t DIEPTXF[0x0F];        /*!< dev Periodic Transmit FIFO */
 }
 USB_OTG_GlobalTypeDef;
 
@@ -743,26 +724,26 @@ USB_OTG_GlobalTypeDef;
   */
 typedef struct 
 {
-  __IO uint32_t DCFG;         /* dev Configuration Register   800h*/
-  __IO uint32_t DCTL;         /* dev Control Register         804h*/
-  __IO uint32_t DSTS;         /* dev Status Register (RO)     808h*/
-  uint32_t Reserved0C;           /* Reserved                     80Ch*/
-  __IO uint32_t DIEPMSK;   /* dev IN Endpoint Mask         810h*/
-  __IO uint32_t DOEPMSK;  /* dev OUT Endpoint Mask        814h*/
-  __IO uint32_t DAINT;     /* dev All Endpoints Itr Reg    818h*/
-  __IO uint32_t DAINTMSK; /* dev All Endpoints Itr Mask   81Ch*/
-  uint32_t  Reserved20;          /* Reserved                     820h*/
-  uint32_t Reserved9;       /* Reserved                     824h*/
-  __IO uint32_t DVBUSDIS;    /* dev VBUS discharge Register  828h*/
-  __IO uint32_t DVBUSPULSE;  /* dev VBUS Pulse Register      82Ch*/
-  __IO uint32_t DTHRCTL;     /* dev thr                      830h*/
-  __IO uint32_t DIEPEMPMSK; /* dev empty msk             834h*/
-  __IO uint32_t DEACHINT;    /* dedicated EP interrupt       838h*/
-  __IO uint32_t DEACHMSK;    /* dedicated EP msk             83Ch*/  
-  uint32_t Reserved40;      /* dedicated EP mask           840h*/
-  __IO uint32_t DINEP1MSK;  /* dedicated EP mask           844h*/
-  uint32_t  Reserved44[15];      /* Reserved                 844-87Ch*/
-  __IO uint32_t DOUTEP1MSK; /* dedicated EP msk            884h*/   
+  __IO uint32_t DCFG;         /*!< dev Configuration Register   Address offset : 0x800 */
+  __IO uint32_t DCTL;         /*!< dev Control Register         Address offset : 0x804 */
+  __IO uint32_t DSTS;         /*!< dev Status Register (RO)     Address offset : 0x808 */
+  uint32_t Reserved0C;        /*!< Reserved                     Address offset : 0x80C */
+  __IO uint32_t DIEPMSK;      /*!< dev IN Endpoint Mask        Address offset : 0x810 */
+  __IO uint32_t DOEPMSK;      /*!< dev OUT Endpoint Mask        Address offset : 0x814 */
+  __IO uint32_t DAINT;        /*!< dev All Endpoints Itr Reg    Address offset : 0x818 */
+  __IO uint32_t DAINTMSK;     /*!< dev All Endpoints Itr Mask   Address offset : 0x81C */
+  uint32_t  Reserved20;       /*!< Reserved                     Address offset : 0x820 */
+  uint32_t Reserved9;         /*!< Reserved                     Address offset : 0x824 */
+  __IO uint32_t DVBUSDIS;     /*!< dev VBUS discharge Register  Address offset : 0x828 */
+  __IO uint32_t DVBUSPULSE;   /*!< dev VBUS Pulse Register      Address offset : 0x82C */
+  __IO uint32_t DTHRCTL;      /*!< dev thr                      Address offset : 0x830 */
+  __IO uint32_t DIEPEMPMSK;   /*!< dev empty msk                Address offset : 0x834 */
+  __IO uint32_t DEACHINT;     /*!< dedicated EP interrupt       Address offset : 0x838 */
+  __IO uint32_t DEACHMSK;     /*!< dedicated EP msk             Address offset : 0x83C */  
+  uint32_t Reserved40;        /*!< dedicated EP mask            Address offset : 0x840 */
+  __IO uint32_t DINEP1MSK;    /*!< dedicated EP mask            Address offset : 0x844 */
+  uint32_t  Reserved44[15];   /*!< Reserved                     Address offset : 0x844-0x87C */
+  __IO uint32_t DOUTEP1MSK;   /*!< dedicated EP msk             Address offset : 0x884 */   
 }
 USB_OTG_DeviceTypeDef;
 
@@ -772,14 +753,14 @@ USB_OTG_DeviceTypeDef;
   */
 typedef struct 
 {
-  __IO uint32_t DIEPCTL; /* dev IN Endpoint Control Reg 900h + (ep_num * 20h) + 00h*/
-  uint32_t Reserved04;             /* Reserved                       900h + (ep_num * 20h) + 04h*/
-  __IO uint32_t DIEPINT; /* dev IN Endpoint Itr Reg     900h + (ep_num * 20h) + 08h*/
-  uint32_t Reserved0C;             /* Reserved                       900h + (ep_num * 20h) + 0Ch*/
-  __IO uint32_t DIEPTSIZ; /* IN Endpoint Txfer Size   900h + (ep_num * 20h) + 10h*/
-  __IO uint32_t DIEPDMA; /* IN Endpoint DMA Address Reg    900h + (ep_num * 20h) + 14h*/
-  __IO uint32_t DTXFSTS;/*IN Endpoint Tx FIFO Status Reg 900h + (ep_num * 20h) + 18h*/
-  uint32_t Reserved18;             /* Reserved  900h+(ep_num*20h)+1Ch-900h+ (ep_num * 20h) + 1Ch*/
+  __IO uint32_t DIEPCTL;        /* dev IN Endpoint Control Reg 900h + (ep_num * 20h) + 00h     */
+  uint32_t Reserved04;          /* Reserved                       900h + (ep_num * 20h) + 04h  */
+  __IO uint32_t DIEPINT;        /* dev IN Endpoint Itr Reg     900h + (ep_num * 20h) + 08h     */
+  uint32_t Reserved0C;          /* Reserved                       900h + (ep_num * 20h) + 0Ch  */
+  __IO uint32_t DIEPTSIZ;       /* IN Endpoint Txfer Size   900h + (ep_num * 20h) + 10h        */
+  __IO uint32_t DIEPDMA;        /* IN Endpoint DMA Address Reg    900h + (ep_num * 20h) + 14h  */
+  __IO uint32_t DTXFSTS;        /* IN Endpoint Tx FIFO Status Reg 900h + (ep_num * 20h) + 18h   */
+  uint32_t Reserved18;          /* Reserved  900h+(ep_num*20h)+1Ch-900h+ (ep_num * 20h) + 1Ch */
 }
 USB_OTG_INEndpointTypeDef;
 
@@ -835,17 +816,19 @@ USB_OTG_HostChannelTypeDef;
 /** 
   * @brief Peripheral_memory_map
   */
-#define FLASH_BASE            ((uint32_t)0x08000000) /*!< FLASH(up to 1 MB) base address in the alias region                         */
-#define SRAM1_BASE            ((uint32_t)0x20000000) /*!< SRAM1(112 KB) base address in the alias region                             */
-#define SRAM2_BASE            ((uint32_t)0x2001C000) /*!< SRAM2(16 KB) base address in the alias region                              */
-#define PERIPH_BASE           ((uint32_t)0x40000000) /*!< Peripheral base address in the alias region                                */
-#define BKPSRAM_BASE          ((uint32_t)0x40024000) /*!< Backup SRAM(4 KB) base address in the alias region                         */
-#define FSMC_R_BASE           ((uint32_t)0xA0000000) /*!< FSMC registers base address                                                */
-#define SRAM1_BB_BASE         ((uint32_t)0x22000000) /*!< SRAM1(112 KB) base address in the bit-band region                          */
-#define SRAM2_BB_BASE         ((uint32_t)0x22380000) /*!< SRAM2(16 KB) base address in the bit-band region                           */
-#define PERIPH_BB_BASE        ((uint32_t)0x42000000) /*!< Peripheral base address in the bit-band region                             */
-#define BKPSRAM_BB_BASE       ((uint32_t)0x42480000) /*!< Backup SRAM(4 KB) base address in the bit-band region                      */
-#define FLASH_END             ((uint32_t)0x080FFFFF) /*!< FLASH end address                                                          */
+#define FLASH_BASE            0x08000000UL /*!< FLASH(up to 1 MB) base address in the alias region                         */
+#define SRAM1_BASE            0x20000000UL /*!< SRAM1(112 KB) base address in the alias region                             */
+#define SRAM2_BASE            0x2001C000UL /*!< SRAM2(16 KB) base address in the alias region                              */
+#define PERIPH_BASE           0x40000000UL /*!< Peripheral base address in the alias region                                */
+#define BKPSRAM_BASE          0x40024000UL /*!< Backup SRAM(4 KB) base address in the alias region                         */
+#define FSMC_R_BASE           0xA0000000UL /*!< FSMC registers base address                                                */
+#define SRAM1_BB_BASE         0x22000000UL /*!< SRAM1(112 KB) base address in the bit-band region                          */
+#define SRAM2_BB_BASE         0x22380000UL /*!< SRAM2(16 KB) base address in the bit-band region                           */
+#define PERIPH_BB_BASE        0x42000000UL /*!< Peripheral base address in the bit-band region                             */
+#define BKPSRAM_BB_BASE       0x42480000UL /*!< Backup SRAM(4 KB) base address in the bit-band region                      */
+#define FLASH_END             0x080FFFFFUL /*!< FLASH end address                                                          */
+#define FLASH_OTP_BASE        0x1FFF7800UL /*!< Base address of : (up to 528 Bytes) embedded FLASH OTP Area                */
+#define FLASH_OTP_END         0x1FFF7A0FUL /*!< End address of : (up to 528 Bytes) embedded FLASH OTP Area                 */
 
 /* Legacy defines */
 #define SRAM_BASE             SRAM1_BASE
@@ -854,114 +837,121 @@ USB_OTG_HostChannelTypeDef;
 
 /*!< Peripheral memory map */
 #define APB1PERIPH_BASE       PERIPH_BASE
-#define APB2PERIPH_BASE       (PERIPH_BASE + 0x00010000)
-#define AHB1PERIPH_BASE       (PERIPH_BASE + 0x00020000)
-#define AHB2PERIPH_BASE       (PERIPH_BASE + 0x10000000)
+#define APB2PERIPH_BASE       (PERIPH_BASE + 0x00010000UL)
+#define AHB1PERIPH_BASE       (PERIPH_BASE + 0x00020000UL)
+#define AHB2PERIPH_BASE       (PERIPH_BASE + 0x10000000UL)
 
 /*!< APB1 peripherals */
-#define TIM2_BASE             (APB1PERIPH_BASE + 0x0000)
-#define TIM3_BASE             (APB1PERIPH_BASE + 0x0400)
-#define TIM4_BASE             (APB1PERIPH_BASE + 0x0800)
-#define TIM5_BASE             (APB1PERIPH_BASE + 0x0C00)
-#define TIM6_BASE             (APB1PERIPH_BASE + 0x1000)
-#define TIM7_BASE             (APB1PERIPH_BASE + 0x1400)
-#define TIM12_BASE            (APB1PERIPH_BASE + 0x1800)
-#define TIM13_BASE            (APB1PERIPH_BASE + 0x1C00)
-#define TIM14_BASE            (APB1PERIPH_BASE + 0x2000)
-#define RTC_BASE              (APB1PERIPH_BASE + 0x2800)
-#define WWDG_BASE             (APB1PERIPH_BASE + 0x2C00)
-#define IWDG_BASE             (APB1PERIPH_BASE + 0x3000)
-#define SPI2_BASE             (APB1PERIPH_BASE + 0x3800)
-#define SPI3_BASE             (APB1PERIPH_BASE + 0x3C00)
-#define USART2_BASE           (APB1PERIPH_BASE + 0x4400)
-#define USART3_BASE           (APB1PERIPH_BASE + 0x4800)
-#define UART4_BASE            (APB1PERIPH_BASE + 0x4C00)
-#define UART5_BASE            (APB1PERIPH_BASE + 0x5000)
-#define I2C1_BASE             (APB1PERIPH_BASE + 0x5400)
-#define I2C2_BASE             (APB1PERIPH_BASE + 0x5800)
-#define I2C3_BASE             (APB1PERIPH_BASE + 0x5C00)
-#define CAN1_BASE             (APB1PERIPH_BASE + 0x6400)
-#define CAN2_BASE             (APB1PERIPH_BASE + 0x6800)
-#define PWR_BASE              (APB1PERIPH_BASE + 0x7000)
-#define DAC_BASE              (APB1PERIPH_BASE + 0x7400)
+#define TIM2_BASE             (APB1PERIPH_BASE + 0x0000UL)
+#define TIM3_BASE             (APB1PERIPH_BASE + 0x0400UL)
+#define TIM4_BASE             (APB1PERIPH_BASE + 0x0800UL)
+#define TIM5_BASE             (APB1PERIPH_BASE + 0x0C00UL)
+#define TIM6_BASE             (APB1PERIPH_BASE + 0x1000UL)
+#define TIM7_BASE             (APB1PERIPH_BASE + 0x1400UL)
+#define TIM12_BASE            (APB1PERIPH_BASE + 0x1800UL)
+#define TIM13_BASE            (APB1PERIPH_BASE + 0x1C00UL)
+#define TIM14_BASE            (APB1PERIPH_BASE + 0x2000UL)
+#define RTC_BASE              (APB1PERIPH_BASE + 0x2800UL)
+#define WWDG_BASE             (APB1PERIPH_BASE + 0x2C00UL)
+#define IWDG_BASE             (APB1PERIPH_BASE + 0x3000UL)
+#define SPI2_BASE             (APB1PERIPH_BASE + 0x3800UL)
+#define SPI3_BASE             (APB1PERIPH_BASE + 0x3C00UL)
+#define USART2_BASE           (APB1PERIPH_BASE + 0x4400UL)
+#define USART3_BASE           (APB1PERIPH_BASE + 0x4800UL)
+#define UART4_BASE            (APB1PERIPH_BASE + 0x4C00UL)
+#define UART5_BASE            (APB1PERIPH_BASE + 0x5000UL)
+#define I2C1_BASE             (APB1PERIPH_BASE + 0x5400UL)
+#define I2C2_BASE             (APB1PERIPH_BASE + 0x5800UL)
+#define I2C3_BASE             (APB1PERIPH_BASE + 0x5C00UL)
+#define CAN1_BASE             (APB1PERIPH_BASE + 0x6400UL)
+#define CAN2_BASE             (APB1PERIPH_BASE + 0x6800UL)
+#define PWR_BASE              (APB1PERIPH_BASE + 0x7000UL)
+#define DAC_BASE              (APB1PERIPH_BASE + 0x7400UL)
 
 /*!< APB2 peripherals */
-#define TIM1_BASE             (APB2PERIPH_BASE + 0x0000)
-#define TIM8_BASE             (APB2PERIPH_BASE + 0x0400)
-#define USART1_BASE           (APB2PERIPH_BASE + 0x1000)
-#define USART6_BASE           (APB2PERIPH_BASE + 0x1400)
-#define ADC1_BASE             (APB2PERIPH_BASE + 0x2000)
-#define ADC2_BASE             (APB2PERIPH_BASE + 0x2100)
-#define ADC3_BASE             (APB2PERIPH_BASE + 0x2200)
-#define ADC_BASE              (APB2PERIPH_BASE + 0x2300)
-#define SDIO_BASE             (APB2PERIPH_BASE + 0x2C00)
-#define SPI1_BASE             (APB2PERIPH_BASE + 0x3000)
-#define SYSCFG_BASE           (APB2PERIPH_BASE + 0x3800)
-#define EXTI_BASE             (APB2PERIPH_BASE + 0x3C00)
-#define TIM9_BASE             (APB2PERIPH_BASE + 0x4000)
-#define TIM10_BASE            (APB2PERIPH_BASE + 0x4400)
-#define TIM11_BASE            (APB2PERIPH_BASE + 0x4800)
+#define TIM1_BASE             (APB2PERIPH_BASE + 0x0000UL)
+#define TIM8_BASE             (APB2PERIPH_BASE + 0x0400UL)
+#define USART1_BASE           (APB2PERIPH_BASE + 0x1000UL)
+#define USART6_BASE           (APB2PERIPH_BASE + 0x1400UL)
+#define ADC1_BASE             (APB2PERIPH_BASE + 0x2000UL)
+#define ADC2_BASE             (APB2PERIPH_BASE + 0x2100UL)
+#define ADC3_BASE             (APB2PERIPH_BASE + 0x2200UL)
+#define ADC123_COMMON_BASE    (APB2PERIPH_BASE + 0x2300UL)
+/* Legacy define */
+#define ADC_BASE               ADC123_COMMON_BASE
+
+#define SDIO_BASE             (APB2PERIPH_BASE + 0x2C00UL)
+#define SPI1_BASE             (APB2PERIPH_BASE + 0x3000UL)
+#define SYSCFG_BASE           (APB2PERIPH_BASE + 0x3800UL)
+#define EXTI_BASE             (APB2PERIPH_BASE + 0x3C00UL)
+#define TIM9_BASE             (APB2PERIPH_BASE + 0x4000UL)
+#define TIM10_BASE            (APB2PERIPH_BASE + 0x4400UL)
+#define TIM11_BASE            (APB2PERIPH_BASE + 0x4800UL)
 
 /*!< AHB1 peripherals */
-#define GPIOA_BASE            (AHB1PERIPH_BASE + 0x0000)
-#define GPIOB_BASE            (AHB1PERIPH_BASE + 0x0400)
-#define GPIOC_BASE            (AHB1PERIPH_BASE + 0x0800)
-#define GPIOD_BASE            (AHB1PERIPH_BASE + 0x0C00)
-#define GPIOE_BASE            (AHB1PERIPH_BASE + 0x1000)
-#define GPIOF_BASE            (AHB1PERIPH_BASE + 0x1400)
-#define GPIOG_BASE            (AHB1PERIPH_BASE + 0x1800)
-#define GPIOH_BASE            (AHB1PERIPH_BASE + 0x1C00)
-#define GPIOI_BASE            (AHB1PERIPH_BASE + 0x2000)
-#define CRC_BASE              (AHB1PERIPH_BASE + 0x3000)
-#define RCC_BASE              (AHB1PERIPH_BASE + 0x3800)
-#define FLASH_R_BASE          (AHB1PERIPH_BASE + 0x3C00)
-#define DMA1_BASE             (AHB1PERIPH_BASE + 0x6000)
-#define DMA1_Stream0_BASE     (DMA1_BASE + 0x010)
-#define DMA1_Stream1_BASE     (DMA1_BASE + 0x028)
-#define DMA1_Stream2_BASE     (DMA1_BASE + 0x040)
-#define DMA1_Stream3_BASE     (DMA1_BASE + 0x058)
-#define DMA1_Stream4_BASE     (DMA1_BASE + 0x070)
-#define DMA1_Stream5_BASE     (DMA1_BASE + 0x088)
-#define DMA1_Stream6_BASE     (DMA1_BASE + 0x0A0)
-#define DMA1_Stream7_BASE     (DMA1_BASE + 0x0B8)
-#define DMA2_BASE             (AHB1PERIPH_BASE + 0x6400)
-#define DMA2_Stream0_BASE     (DMA2_BASE + 0x010)
-#define DMA2_Stream1_BASE     (DMA2_BASE + 0x028)
-#define DMA2_Stream2_BASE     (DMA2_BASE + 0x040)
-#define DMA2_Stream3_BASE     (DMA2_BASE + 0x058)
-#define DMA2_Stream4_BASE     (DMA2_BASE + 0x070)
-#define DMA2_Stream5_BASE     (DMA2_BASE + 0x088)
-#define DMA2_Stream6_BASE     (DMA2_BASE + 0x0A0)
-#define DMA2_Stream7_BASE     (DMA2_BASE + 0x0B8)
+#define GPIOA_BASE            (AHB1PERIPH_BASE + 0x0000UL)
+#define GPIOB_BASE            (AHB1PERIPH_BASE + 0x0400UL)
+#define GPIOC_BASE            (AHB1PERIPH_BASE + 0x0800UL)
+#define GPIOD_BASE            (AHB1PERIPH_BASE + 0x0C00UL)
+#define GPIOE_BASE            (AHB1PERIPH_BASE + 0x1000UL)
+#define GPIOF_BASE            (AHB1PERIPH_BASE + 0x1400UL)
+#define GPIOG_BASE            (AHB1PERIPH_BASE + 0x1800UL)
+#define GPIOH_BASE            (AHB1PERIPH_BASE + 0x1C00UL)
+#define GPIOI_BASE            (AHB1PERIPH_BASE + 0x2000UL)
+#define CRC_BASE              (AHB1PERIPH_BASE + 0x3000UL)
+#define RCC_BASE              (AHB1PERIPH_BASE + 0x3800UL)
+#define FLASH_R_BASE          (AHB1PERIPH_BASE + 0x3C00UL)
+#define DMA1_BASE             (AHB1PERIPH_BASE + 0x6000UL)
+#define DMA1_Stream0_BASE     (DMA1_BASE + 0x010UL)
+#define DMA1_Stream1_BASE     (DMA1_BASE + 0x028UL)
+#define DMA1_Stream2_BASE     (DMA1_BASE + 0x040UL)
+#define DMA1_Stream3_BASE     (DMA1_BASE + 0x058UL)
+#define DMA1_Stream4_BASE     (DMA1_BASE + 0x070UL)
+#define DMA1_Stream5_BASE     (DMA1_BASE + 0x088UL)
+#define DMA1_Stream6_BASE     (DMA1_BASE + 0x0A0UL)
+#define DMA1_Stream7_BASE     (DMA1_BASE + 0x0B8UL)
+#define DMA2_BASE             (AHB1PERIPH_BASE + 0x6400UL)
+#define DMA2_Stream0_BASE     (DMA2_BASE + 0x010UL)
+#define DMA2_Stream1_BASE     (DMA2_BASE + 0x028UL)
+#define DMA2_Stream2_BASE     (DMA2_BASE + 0x040UL)
+#define DMA2_Stream3_BASE     (DMA2_BASE + 0x058UL)
+#define DMA2_Stream4_BASE     (DMA2_BASE + 0x070UL)
+#define DMA2_Stream5_BASE     (DMA2_BASE + 0x088UL)
+#define DMA2_Stream6_BASE     (DMA2_BASE + 0x0A0UL)
+#define DMA2_Stream7_BASE     (DMA2_BASE + 0x0B8UL)
 
 /*!< AHB2 peripherals */
-#define RNG_BASE              (AHB2PERIPH_BASE + 0x60800)
+#define RNG_BASE              (AHB2PERIPH_BASE + 0x60800UL)
 
 /*!< FSMC Bankx registers base address */
-#define FSMC_Bank1_R_BASE     (FSMC_R_BASE + 0x0000)
-#define FSMC_Bank1E_R_BASE    (FSMC_R_BASE + 0x0104)
-#define FSMC_Bank2_3_R_BASE   (FSMC_R_BASE + 0x0060)
-#define FSMC_Bank4_R_BASE     (FSMC_R_BASE + 0x00A0)
+#define FSMC_Bank1_R_BASE     (FSMC_R_BASE + 0x0000UL)
+#define FSMC_Bank1E_R_BASE    (FSMC_R_BASE + 0x0104UL)
+#define FSMC_Bank2_3_R_BASE   (FSMC_R_BASE + 0x0060UL)
+#define FSMC_Bank4_R_BASE     (FSMC_R_BASE + 0x00A0UL)
 
 /* Debug MCU registers base address */
-#define DBGMCU_BASE           ((uint32_t )0xE0042000)
+#define DBGMCU_BASE           0xE0042000UL
 
 /*!< USB registers base address */
-#define USB_OTG_HS_PERIPH_BASE               ((uint32_t )0x40040000)
-#define USB_OTG_FS_PERIPH_BASE               ((uint32_t )0x50000000)
-
-#define USB_OTG_GLOBAL_BASE                  ((uint32_t )0x000)
-#define USB_OTG_DEVICE_BASE                  ((uint32_t )0x800)
-#define USB_OTG_IN_ENDPOINT_BASE             ((uint32_t )0x900)
-#define USB_OTG_OUT_ENDPOINT_BASE            ((uint32_t )0xB00)
-#define USB_OTG_EP_REG_SIZE                  ((uint32_t )0x20)
-#define USB_OTG_HOST_BASE                    ((uint32_t )0x400)
-#define USB_OTG_HOST_PORT_BASE               ((uint32_t )0x440)
-#define USB_OTG_HOST_CHANNEL_BASE            ((uint32_t )0x500)
-#define USB_OTG_HOST_CHANNEL_SIZE            ((uint32_t )0x20)
-#define USB_OTG_PCGCCTL_BASE                 ((uint32_t )0xE00)
-#define USB_OTG_FIFO_BASE                    ((uint32_t )0x1000)
-#define USB_OTG_FIFO_SIZE                    ((uint32_t )0x1000)
+#define USB_OTG_HS_PERIPH_BASE               0x40040000UL
+#define USB_OTG_FS_PERIPH_BASE               0x50000000UL
+
+#define USB_OTG_GLOBAL_BASE                  0x000UL
+#define USB_OTG_DEVICE_BASE                  0x800UL
+#define USB_OTG_IN_ENDPOINT_BASE             0x900UL
+#define USB_OTG_OUT_ENDPOINT_BASE            0xB00UL
+#define USB_OTG_EP_REG_SIZE                  0x20UL
+#define USB_OTG_HOST_BASE                    0x400UL
+#define USB_OTG_HOST_PORT_BASE               0x440UL
+#define USB_OTG_HOST_CHANNEL_BASE            0x500UL
+#define USB_OTG_HOST_CHANNEL_SIZE            0x20UL
+#define USB_OTG_PCGCCTL_BASE                 0xE00UL
+#define USB_OTG_FIFO_BASE                    0x1000UL
+#define USB_OTG_FIFO_SIZE                    0x1000UL
+
+/*******************  Device electronic signature  ***************/
+#define UID_BASE             0x1FFF7A10UL        /*!< Unique device ID register base address */
+#define FLASHSIZE_BASE       0x1FFF7A22UL        /*!< FLASH Size register base address */
 
 /**
   * @}
@@ -994,15 +984,18 @@ USB_OTG_HostChannelTypeDef;
 #define CAN1                ((CAN_TypeDef *) CAN1_BASE)
 #define CAN2                ((CAN_TypeDef *) CAN2_BASE)
 #define PWR                 ((PWR_TypeDef *) PWR_BASE)
-#define DAC                 ((DAC_TypeDef *) DAC_BASE)
+#define DAC1                ((DAC_TypeDef *) DAC_BASE)
+#define DAC                 ((DAC_TypeDef *) DAC_BASE) /* Kept for legacy purpose */
 #define TIM1                ((TIM_TypeDef *) TIM1_BASE)
 #define TIM8                ((TIM_TypeDef *) TIM8_BASE)
 #define USART1              ((USART_TypeDef *) USART1_BASE)
 #define USART6              ((USART_TypeDef *) USART6_BASE)
-#define ADC                 ((ADC_Common_TypeDef *) ADC_BASE)
 #define ADC1                ((ADC_TypeDef *) ADC1_BASE)
 #define ADC2                ((ADC_TypeDef *) ADC2_BASE)
 #define ADC3                ((ADC_TypeDef *) ADC3_BASE)
+#define ADC123_COMMON       ((ADC_Common_TypeDef *) ADC123_COMMON_BASE)
+/* Legacy define */
+#define ADC                  ADC123_COMMON
 #define SDIO                ((SDIO_TypeDef *) SDIO_BASE)
 #define SPI1                ((SPI_TypeDef *) SPI1_BASE) 
 #define SYSCFG              ((SYSCFG_TypeDef *) SYSCFG_BASE)
@@ -1039,7 +1032,7 @@ USB_OTG_HostChannelTypeDef;
 #define DMA2_Stream4        ((DMA_Stream_TypeDef *) DMA2_Stream4_BASE)
 #define DMA2_Stream5        ((DMA_Stream_TypeDef *) DMA2_Stream5_BASE)
 #define DMA2_Stream6        ((DMA_Stream_TypeDef *) DMA2_Stream6_BASE)
-#define DMA2_Stream7        ((DMA_Stream_TypeDef *) DMA2_Stream7_BASE)  
+#define DMA2_Stream7        ((DMA_Stream_TypeDef *) DMA2_Stream7_BASE)
 #define RNG                 ((RNG_TypeDef *) RNG_BASE)
 #define FSMC_Bank1          ((FSMC_Bank1_TypeDef *) FSMC_Bank1_R_BASE)
 #define FSMC_Bank1E         ((FSMC_Bank1E_TypeDef *) FSMC_Bank1E_R_BASE)
@@ -1073,360 +1066,593 @@ USB_OTG_HostChannelTypeDef;
 /*                                                                            */
 /******************************************************************************/
 /********************  Bit definition for ADC_SR register  ********************/
-#define  ADC_SR_AWD                          ((uint32_t)0x00000001)       /*!
© COPYRIGHT(c) 2015 STMicroelectronics

-  *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
+  * 
© Copyright (c) 2017 STMicroelectronics.
+  * All rights reserved.

   *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
   ******************************************************************************
   */
 
-/** @addtogroup CMSIS
+/** @addtogroup CMSIS_Device
   * @{
   */
 
@@ -55,7 +38,6 @@
  extern "C" {
 #endif /* __cplusplus */
   
-
 /** @addtogroup Configuration_section_for_CMSIS
   * @{
   */
@@ -63,10 +45,10 @@
 /**
   * @brief Configuration of the Cortex-M3 Processor and Core Peripherals 
   */
-#define __CM3_REV                 0x0200  /*!< Core revision r0p1                            */
-#define __MPU_PRESENT             1       /*!< STM32F2XX provides an MPU                     */
-#define __NVIC_PRIO_BITS          4       /*!< STM32F2XX uses 4 Bits for the Priority Levels */
-#define __Vendor_SysTickConfig    0       /*!< Set to 1 if different SysTick Config is used  */
+#define __CM3_REV                 0x0200U  /*!< Core revision r0p1                            */
+#define __MPU_PRESENT             1U       /*!< STM32F2XX provides an MPU                     */
+#define __NVIC_PRIO_BITS          4U       /*!< STM32F2XX uses 4 Bits for the Priority Levels */
+#define __Vendor_SysTickConfig    0U       /*!< Set to 1 if different SysTick Config is used  */
 
 /**
   * @}
@@ -84,6 +66,7 @@ typedef enum
 {
 /******  Cortex-M3 Processor Exceptions Numbers ****************************************************************/
   NonMaskableInt_IRQn         = -14,    /*!< 2 Non Maskable Interrupt                                          */
+  HardFault_IRQn              = -13,    /*!< 3 Hard Fault Interrupt                                            */
   MemoryManagement_IRQn       = -12,    /*!< 4 Cortex-M3 Memory Management Interrupt                           */
   BusFault_IRQn               = -11,    /*!< 5 Cortex-M3 Bus Fault Interrupt                                   */
   UsageFault_IRQn             = -10,    /*!< 6 Cortex-M3 Usage Fault Interrupt                                 */
@@ -171,7 +154,7 @@ typedef enum
   OTG_HS_WKUP_IRQn            = 76,     /*!< USB OTG HS Wakeup through EXTI interrupt                          */
   OTG_HS_IRQn                 = 77,     /*!< USB OTG HS global interrupt                                       */
   DCMI_IRQn                   = 78,     /*!< DCMI global interrupt                                             */
-  HASH_RNG_IRQn               = 80      /*!< Hash and Rng global interrupt                                     */
+   RNG_IRQn                   = 80      /*!< Rng global interrupt                                     */
 } IRQn_Type;
 
 /**
@@ -393,7 +376,8 @@ typedef struct
   uint32_t      RESERVED0[2];
   __IO uint32_t MACRWUFFR;             /*   11 */
   __IO uint32_t MACPMTCSR;
-  uint32_t      RESERVED1[2];
+  uint32_t      RESERVED1;
+  __IO uint32_t MACDBGR;
   __IO uint32_t MACSR;                 /*   15 */
   __IO uint32_t MACIMR;
   __IO uint32_t MACA0HR;
@@ -578,7 +562,6 @@ typedef struct
   __IO uint32_t SR2;        /*!< I2C Status register 2,      Address offset: 0x18 */
   __IO uint32_t CCR;        /*!< I2C Clock control register, Address offset: 0x1C */
   __IO uint32_t TRISE;      /*!< I2C TRISE register,         Address offset: 0x20 */
-  __IO uint32_t FLTR;       /*!< I2C FLTR register,          Address offset: 0x24 */
 } I2C_TypeDef;
 
 /** 
@@ -809,24 +792,24 @@ typedef struct
   */
 typedef struct
 {
-  __IO uint32_t GOTGCTL;      /*!<  USB_OTG Control and Status Register    000h*/
-  __IO uint32_t GOTGINT;      /*!<  USB_OTG Interrupt Register             004h*/
-  __IO uint32_t GAHBCFG;      /*!<  Core AHB Configuration Register    008h*/
-  __IO uint32_t GUSBCFG;      /*!<  Core USB Configuration Register    00Ch*/
-  __IO uint32_t GRSTCTL;      /*!<  Core Reset Register                010h*/
-  __IO uint32_t GINTSTS;      /*!<  Core Interrupt Register            014h*/
-  __IO uint32_t GINTMSK;      /*!<  Core Interrupt Mask Register       018h*/
-  __IO uint32_t GRXSTSR;      /*!<  Receive Sts Q Read Register        01Ch*/
-  __IO uint32_t GRXSTSP;      /*!<  Receive Sts Q Read & POP Register  020h*/
-  __IO uint32_t GRXFSIZ;      /* Receive FIFO Size Register         024h*/
-  __IO uint32_t DIEPTXF0_HNPTXFSIZ;   /*!<  EP0 / Non Periodic Tx FIFO Size Register 028h*/
-  __IO uint32_t HNPTXSTS;     /*!<  Non Periodic Tx FIFO/Queue Sts reg 02Ch*/
-  uint32_t Reserved30[2];     /* Reserved                           030h*/
-  __IO uint32_t GCCFG;        /* General Purpose IO Register        038h*/
-  __IO uint32_t CID;          /* User ID Register                   03Ch*/
-  uint32_t  Reserved40[48];   /* Reserved                      040h-0FFh*/
-  __IO uint32_t HPTXFSIZ; /* Host Periodic Tx FIFO Size Reg     100h*/
-  __IO uint32_t DIEPTXF[0x0F];/* dev Periodic Transmit FIFO */
+  __IO uint32_t GOTGCTL;              /*!<  USB_OTG Control and Status Register    Address offset : 0x00      */
+  __IO uint32_t GOTGINT;              /*!<  USB_OTG Interrupt Register             Address offset : 0x04      */
+  __IO uint32_t GAHBCFG;              /*!<  Core AHB Configuration Register        Address offset : 0x08      */
+  __IO uint32_t GUSBCFG;              /*!<  Core USB Configuration Register        Address offset : 0x0C      */
+  __IO uint32_t GRSTCTL;              /*!<  Core Reset Register                    Address offset : 0x10      */
+  __IO uint32_t GINTSTS;              /*!<  Core Interrupt Register                Address offset : 0x14      */
+  __IO uint32_t GINTMSK;              /*!<  Core Interrupt Mask Register           Address offset : 0x18      */
+  __IO uint32_t GRXSTSR;              /*!<  Receive Sts Q Read Register            Address offset : 0x1C      */
+  __IO uint32_t GRXSTSP;              /*!<  Receive Sts Q Read & POP Register      Address offset : 0x20      */
+  __IO uint32_t GRXFSIZ;              /* Receive FIFO Size Register                Address offset : 0x24      */
+  __IO uint32_t DIEPTXF0_HNPTXFSIZ;   /*!<  EP0 / Non Periodic Tx FIFO Size Register Address offset : 0x28    */
+  __IO uint32_t HNPTXSTS;             /*!<  Non Periodic Tx FIFO/Queue Sts reg     Address offset : 0x2C      */
+  uint32_t Reserved30[2];             /* Reserved                                  Address offset : 0x30      */
+  __IO uint32_t GCCFG;                /*!<  General Purpose IO Register            Address offset : 0x38      */
+  __IO uint32_t CID;                  /*!< User ID Register                          Address offset : 0x3C      */
+  uint32_t  Reserved40[48];           /*!< Reserved                                  Address offset : 0x40-0xFF */
+  __IO uint32_t HPTXFSIZ;             /*!< Host Periodic Tx FIFO Size Reg            Address offset : 0x100 */
+  __IO uint32_t DIEPTXF[0x0F];        /*!< dev Periodic Transmit FIFO */
 }
 USB_OTG_GlobalTypeDef;
 
@@ -837,26 +820,26 @@ USB_OTG_GlobalTypeDef;
   */
 typedef struct 
 {
-  __IO uint32_t DCFG;         /* dev Configuration Register   800h*/
-  __IO uint32_t DCTL;         /* dev Control Register         804h*/
-  __IO uint32_t DSTS;         /* dev Status Register (RO)     808h*/
-  uint32_t Reserved0C;           /* Reserved                     80Ch*/
-  __IO uint32_t DIEPMSK;   /* dev IN Endpoint Mask         810h*/
-  __IO uint32_t DOEPMSK;  /* dev OUT Endpoint Mask        814h*/
-  __IO uint32_t DAINT;     /* dev All Endpoints Itr Reg    818h*/
-  __IO uint32_t DAINTMSK; /* dev All Endpoints Itr Mask   81Ch*/
-  uint32_t  Reserved20;          /* Reserved                     820h*/
-  uint32_t Reserved9;       /* Reserved                     824h*/
-  __IO uint32_t DVBUSDIS;    /* dev VBUS discharge Register  828h*/
-  __IO uint32_t DVBUSPULSE;  /* dev VBUS Pulse Register      82Ch*/
-  __IO uint32_t DTHRCTL;     /* dev thr                      830h*/
-  __IO uint32_t DIEPEMPMSK; /* dev empty msk             834h*/
-  __IO uint32_t DEACHINT;    /* dedicated EP interrupt       838h*/
-  __IO uint32_t DEACHMSK;    /* dedicated EP msk             83Ch*/  
-  uint32_t Reserved40;      /* dedicated EP mask           840h*/
-  __IO uint32_t DINEP1MSK;  /* dedicated EP mask           844h*/
-  uint32_t  Reserved44[15];      /* Reserved                 844-87Ch*/
-  __IO uint32_t DOUTEP1MSK; /* dedicated EP msk            884h*/   
+  __IO uint32_t DCFG;         /*!< dev Configuration Register   Address offset : 0x800 */
+  __IO uint32_t DCTL;         /*!< dev Control Register         Address offset : 0x804 */
+  __IO uint32_t DSTS;         /*!< dev Status Register (RO)     Address offset : 0x808 */
+  uint32_t Reserved0C;        /*!< Reserved                     Address offset : 0x80C */
+  __IO uint32_t DIEPMSK;      /*!< dev IN Endpoint Mask        Address offset : 0x810 */
+  __IO uint32_t DOEPMSK;      /*!< dev OUT Endpoint Mask        Address offset : 0x814 */
+  __IO uint32_t DAINT;        /*!< dev All Endpoints Itr Reg    Address offset : 0x818 */
+  __IO uint32_t DAINTMSK;     /*!< dev All Endpoints Itr Mask   Address offset : 0x81C */
+  uint32_t  Reserved20;       /*!< Reserved                     Address offset : 0x820 */
+  uint32_t Reserved9;         /*!< Reserved                     Address offset : 0x824 */
+  __IO uint32_t DVBUSDIS;     /*!< dev VBUS discharge Register  Address offset : 0x828 */
+  __IO uint32_t DVBUSPULSE;   /*!< dev VBUS Pulse Register      Address offset : 0x82C */
+  __IO uint32_t DTHRCTL;      /*!< dev thr                      Address offset : 0x830 */
+  __IO uint32_t DIEPEMPMSK;   /*!< dev empty msk                Address offset : 0x834 */
+  __IO uint32_t DEACHINT;     /*!< dedicated EP interrupt       Address offset : 0x838 */
+  __IO uint32_t DEACHMSK;     /*!< dedicated EP msk             Address offset : 0x83C */  
+  uint32_t Reserved40;        /*!< dedicated EP mask            Address offset : 0x840 */
+  __IO uint32_t DINEP1MSK;    /*!< dedicated EP mask            Address offset : 0x844 */
+  uint32_t  Reserved44[15];   /*!< Reserved                     Address offset : 0x844-0x87C */
+  __IO uint32_t DOUTEP1MSK;   /*!< dedicated EP msk             Address offset : 0x884 */   
 }
 USB_OTG_DeviceTypeDef;
 
@@ -866,14 +849,14 @@ USB_OTG_DeviceTypeDef;
   */
 typedef struct 
 {
-  __IO uint32_t DIEPCTL; /* dev IN Endpoint Control Reg 900h + (ep_num * 20h) + 00h*/
-  uint32_t Reserved04;             /* Reserved                       900h + (ep_num * 20h) + 04h*/
-  __IO uint32_t DIEPINT; /* dev IN Endpoint Itr Reg     900h + (ep_num * 20h) + 08h*/
-  uint32_t Reserved0C;             /* Reserved                       900h + (ep_num * 20h) + 0Ch*/
-  __IO uint32_t DIEPTSIZ; /* IN Endpoint Txfer Size   900h + (ep_num * 20h) + 10h*/
-  __IO uint32_t DIEPDMA; /* IN Endpoint DMA Address Reg    900h + (ep_num * 20h) + 14h*/
-  __IO uint32_t DTXFSTS;/*IN Endpoint Tx FIFO Status Reg 900h + (ep_num * 20h) + 18h*/
-  uint32_t Reserved18;             /* Reserved  900h+(ep_num*20h)+1Ch-900h+ (ep_num * 20h) + 1Ch*/
+  __IO uint32_t DIEPCTL;        /* dev IN Endpoint Control Reg 900h + (ep_num * 20h) + 00h     */
+  uint32_t Reserved04;          /* Reserved                       900h + (ep_num * 20h) + 04h  */
+  __IO uint32_t DIEPINT;        /* dev IN Endpoint Itr Reg     900h + (ep_num * 20h) + 08h     */
+  uint32_t Reserved0C;          /* Reserved                       900h + (ep_num * 20h) + 0Ch  */
+  __IO uint32_t DIEPTSIZ;       /* IN Endpoint Txfer Size   900h + (ep_num * 20h) + 10h        */
+  __IO uint32_t DIEPDMA;        /* IN Endpoint DMA Address Reg    900h + (ep_num * 20h) + 14h  */
+  __IO uint32_t DTXFSTS;        /* IN Endpoint Tx FIFO Status Reg 900h + (ep_num * 20h) + 18h   */
+  uint32_t Reserved18;          /* Reserved  900h+(ep_num*20h)+1Ch-900h+ (ep_num * 20h) + 1Ch */
 }
 USB_OTG_INEndpointTypeDef;
 
@@ -900,12 +883,12 @@ USB_OTG_OUTEndpointTypeDef;
 typedef struct 
 {
   __IO uint32_t HCFG;             /* Host Configuration Register    400h*/
-  __IO uint32_t HFIR;      /* Host Frame Interval Register   404h*/
-  __IO uint32_t HFNUM;         /* Host Frame Nbr/Frame Remaining 408h*/
-  uint32_t Reserved40C;                   /* Reserved                       40Ch*/
-  __IO uint32_t HPTXSTS;   /* Host Periodic Tx FIFO/ Queue Status 410h*/
-  __IO uint32_t HAINT;   /* Host All Channels Interrupt Register 414h*/
-  __IO uint32_t HAINTMSK;   /* Host All Channels Interrupt Mask 418h*/
+  __IO uint32_t HFIR;             /* Host Frame Interval Register   404h*/
+  __IO uint32_t HFNUM;            /* Host Frame Nbr/Frame Remaining 408h*/
+  uint32_t Reserved40C;           /* Reserved                       40Ch*/
+  __IO uint32_t HPTXSTS;          /* Host Periodic Tx FIFO/ Queue Status 410h*/
+  __IO uint32_t HAINT;            /* Host All Channels Interrupt Register 414h*/
+  __IO uint32_t HAINTMSK;         /* Host All Channels Interrupt Mask 418h*/
 }
 USB_OTG_HostTypeDef;
 
@@ -929,17 +912,19 @@ USB_OTG_HostChannelTypeDef;
 /** 
   * @brief Peripheral_memory_map
   */
-#define FLASH_BASE            ((uint32_t)0x08000000) /*!< FLASH(up to 1 MB) base address in the alias region                         */
-#define SRAM1_BASE            ((uint32_t)0x20000000) /*!< SRAM1(112 KB) base address in the alias region                             */
-#define SRAM2_BASE            ((uint32_t)0x2001C000) /*!< SRAM2(16 KB) base address in the alias region                              */
-#define PERIPH_BASE           ((uint32_t)0x40000000) /*!< Peripheral base address in the alias region                                */
-#define BKPSRAM_BASE          ((uint32_t)0x40024000) /*!< Backup SRAM(4 KB) base address in the alias region                         */
-#define FSMC_R_BASE           ((uint32_t)0xA0000000) /*!< FSMC registers base address                                                */
-#define SRAM1_BB_BASE         ((uint32_t)0x22000000) /*!< SRAM1(112 KB) base address in the bit-band region                          */
-#define SRAM2_BB_BASE         ((uint32_t)0x22380000) /*!< SRAM2(16 KB) base address in the bit-band region                           */
-#define PERIPH_BB_BASE        ((uint32_t)0x42000000) /*!< Peripheral base address in the bit-band region                             */
-#define BKPSRAM_BB_BASE       ((uint32_t)0x42480000) /*!< Backup SRAM(4 KB) base address in the bit-band region                      */
-#define FLASH_END             ((uint32_t)0x080FFFFF) /*!< FLASH end address                                                          */
+#define FLASH_BASE            0x08000000UL /*!< FLASH(up to 1 MB) base address in the alias region                         */
+#define SRAM1_BASE            0x20000000UL /*!< SRAM1(112 KB) base address in the alias region                             */
+#define SRAM2_BASE            0x2001C000UL /*!< SRAM2(16 KB) base address in the alias region                              */
+#define PERIPH_BASE           0x40000000UL /*!< Peripheral base address in the alias region                                */
+#define BKPSRAM_BASE          0x40024000UL /*!< Backup SRAM(4 KB) base address in the alias region                         */
+#define FSMC_R_BASE           0xA0000000UL /*!< FSMC registers base address                                                */
+#define SRAM1_BB_BASE         0x22000000UL /*!< SRAM1(112 KB) base address in the bit-band region                          */
+#define SRAM2_BB_BASE         0x22380000UL /*!< SRAM2(16 KB) base address in the bit-band region                           */
+#define PERIPH_BB_BASE        0x42000000UL /*!< Peripheral base address in the bit-band region                             */
+#define BKPSRAM_BB_BASE       0x42480000UL /*!< Backup SRAM(4 KB) base address in the bit-band region                      */
+#define FLASH_END             0x080FFFFFUL /*!< FLASH end address                                                          */
+#define FLASH_OTP_BASE        0x1FFF7800UL /*!< Base address of : (up to 528 Bytes) embedded FLASH OTP Area                */
+#define FLASH_OTP_END         0x1FFF7A0FUL /*!< End address of : (up to 528 Bytes) embedded FLASH OTP Area                 */
 
 /* Legacy defines */
 #define SRAM_BASE             SRAM1_BASE
@@ -948,120 +933,127 @@ USB_OTG_HostChannelTypeDef;
 
 /*!< Peripheral memory map */
 #define APB1PERIPH_BASE       PERIPH_BASE
-#define APB2PERIPH_BASE       (PERIPH_BASE + 0x00010000)
-#define AHB1PERIPH_BASE       (PERIPH_BASE + 0x00020000)
-#define AHB2PERIPH_BASE       (PERIPH_BASE + 0x10000000)
+#define APB2PERIPH_BASE       (PERIPH_BASE + 0x00010000UL)
+#define AHB1PERIPH_BASE       (PERIPH_BASE + 0x00020000UL)
+#define AHB2PERIPH_BASE       (PERIPH_BASE + 0x10000000UL)
 
 /*!< APB1 peripherals */
-#define TIM2_BASE             (APB1PERIPH_BASE + 0x0000)
-#define TIM3_BASE             (APB1PERIPH_BASE + 0x0400)
-#define TIM4_BASE             (APB1PERIPH_BASE + 0x0800)
-#define TIM5_BASE             (APB1PERIPH_BASE + 0x0C00)
-#define TIM6_BASE             (APB1PERIPH_BASE + 0x1000)
-#define TIM7_BASE             (APB1PERIPH_BASE + 0x1400)
-#define TIM12_BASE            (APB1PERIPH_BASE + 0x1800)
-#define TIM13_BASE            (APB1PERIPH_BASE + 0x1C00)
-#define TIM14_BASE            (APB1PERIPH_BASE + 0x2000)
-#define RTC_BASE              (APB1PERIPH_BASE + 0x2800)
-#define WWDG_BASE             (APB1PERIPH_BASE + 0x2C00)
-#define IWDG_BASE             (APB1PERIPH_BASE + 0x3000)
-#define SPI2_BASE             (APB1PERIPH_BASE + 0x3800)
-#define SPI3_BASE             (APB1PERIPH_BASE + 0x3C00)
-#define USART2_BASE           (APB1PERIPH_BASE + 0x4400)
-#define USART3_BASE           (APB1PERIPH_BASE + 0x4800)
-#define UART4_BASE            (APB1PERIPH_BASE + 0x4C00)
-#define UART5_BASE            (APB1PERIPH_BASE + 0x5000)
-#define I2C1_BASE             (APB1PERIPH_BASE + 0x5400)
-#define I2C2_BASE             (APB1PERIPH_BASE + 0x5800)
-#define I2C3_BASE             (APB1PERIPH_BASE + 0x5C00)
-#define CAN1_BASE             (APB1PERIPH_BASE + 0x6400)
-#define CAN2_BASE             (APB1PERIPH_BASE + 0x6800)
-#define PWR_BASE              (APB1PERIPH_BASE + 0x7000)
-#define DAC_BASE              (APB1PERIPH_BASE + 0x7400)
+#define TIM2_BASE             (APB1PERIPH_BASE + 0x0000UL)
+#define TIM3_BASE             (APB1PERIPH_BASE + 0x0400UL)
+#define TIM4_BASE             (APB1PERIPH_BASE + 0x0800UL)
+#define TIM5_BASE             (APB1PERIPH_BASE + 0x0C00UL)
+#define TIM6_BASE             (APB1PERIPH_BASE + 0x1000UL)
+#define TIM7_BASE             (APB1PERIPH_BASE + 0x1400UL)
+#define TIM12_BASE            (APB1PERIPH_BASE + 0x1800UL)
+#define TIM13_BASE            (APB1PERIPH_BASE + 0x1C00UL)
+#define TIM14_BASE            (APB1PERIPH_BASE + 0x2000UL)
+#define RTC_BASE              (APB1PERIPH_BASE + 0x2800UL)
+#define WWDG_BASE             (APB1PERIPH_BASE + 0x2C00UL)
+#define IWDG_BASE             (APB1PERIPH_BASE + 0x3000UL)
+#define SPI2_BASE             (APB1PERIPH_BASE + 0x3800UL)
+#define SPI3_BASE             (APB1PERIPH_BASE + 0x3C00UL)
+#define USART2_BASE           (APB1PERIPH_BASE + 0x4400UL)
+#define USART3_BASE           (APB1PERIPH_BASE + 0x4800UL)
+#define UART4_BASE            (APB1PERIPH_BASE + 0x4C00UL)
+#define UART5_BASE            (APB1PERIPH_BASE + 0x5000UL)
+#define I2C1_BASE             (APB1PERIPH_BASE + 0x5400UL)
+#define I2C2_BASE             (APB1PERIPH_BASE + 0x5800UL)
+#define I2C3_BASE             (APB1PERIPH_BASE + 0x5C00UL)
+#define CAN1_BASE             (APB1PERIPH_BASE + 0x6400UL)
+#define CAN2_BASE             (APB1PERIPH_BASE + 0x6800UL)
+#define PWR_BASE              (APB1PERIPH_BASE + 0x7000UL)
+#define DAC_BASE              (APB1PERIPH_BASE + 0x7400UL)
 
 /*!< APB2 peripherals */
-#define TIM1_BASE             (APB2PERIPH_BASE + 0x0000)
-#define TIM8_BASE             (APB2PERIPH_BASE + 0x0400)
-#define USART1_BASE           (APB2PERIPH_BASE + 0x1000)
-#define USART6_BASE           (APB2PERIPH_BASE + 0x1400)
-#define ADC1_BASE             (APB2PERIPH_BASE + 0x2000)
-#define ADC2_BASE             (APB2PERIPH_BASE + 0x2100)
-#define ADC3_BASE             (APB2PERIPH_BASE + 0x2200)
-#define ADC_BASE              (APB2PERIPH_BASE + 0x2300)
-#define SDIO_BASE             (APB2PERIPH_BASE + 0x2C00)
-#define SPI1_BASE             (APB2PERIPH_BASE + 0x3000)
-#define SYSCFG_BASE           (APB2PERIPH_BASE + 0x3800)
-#define EXTI_BASE             (APB2PERIPH_BASE + 0x3C00)
-#define TIM9_BASE             (APB2PERIPH_BASE + 0x4000)
-#define TIM10_BASE            (APB2PERIPH_BASE + 0x4400)
-#define TIM11_BASE            (APB2PERIPH_BASE + 0x4800)
+#define TIM1_BASE             (APB2PERIPH_BASE + 0x0000UL)
+#define TIM8_BASE             (APB2PERIPH_BASE + 0x0400UL)
+#define USART1_BASE           (APB2PERIPH_BASE + 0x1000UL)
+#define USART6_BASE           (APB2PERIPH_BASE + 0x1400UL)
+#define ADC1_BASE             (APB2PERIPH_BASE + 0x2000UL)
+#define ADC2_BASE             (APB2PERIPH_BASE + 0x2100UL)
+#define ADC3_BASE             (APB2PERIPH_BASE + 0x2200UL)
+#define ADC123_COMMON_BASE    (APB2PERIPH_BASE + 0x2300UL)
+/* Legacy define */
+#define ADC_BASE               ADC123_COMMON_BASE
+
+#define SDIO_BASE             (APB2PERIPH_BASE + 0x2C00UL)
+#define SPI1_BASE             (APB2PERIPH_BASE + 0x3000UL)
+#define SYSCFG_BASE           (APB2PERIPH_BASE + 0x3800UL)
+#define EXTI_BASE             (APB2PERIPH_BASE + 0x3C00UL)
+#define TIM9_BASE             (APB2PERIPH_BASE + 0x4000UL)
+#define TIM10_BASE            (APB2PERIPH_BASE + 0x4400UL)
+#define TIM11_BASE            (APB2PERIPH_BASE + 0x4800UL)
 
 /*!< AHB1 peripherals */
-#define GPIOA_BASE            (AHB1PERIPH_BASE + 0x0000)
-#define GPIOB_BASE            (AHB1PERIPH_BASE + 0x0400)
-#define GPIOC_BASE            (AHB1PERIPH_BASE + 0x0800)
-#define GPIOD_BASE            (AHB1PERIPH_BASE + 0x0C00)
-#define GPIOE_BASE            (AHB1PERIPH_BASE + 0x1000)
-#define GPIOF_BASE            (AHB1PERIPH_BASE + 0x1400)
-#define GPIOG_BASE            (AHB1PERIPH_BASE + 0x1800)
-#define GPIOH_BASE            (AHB1PERIPH_BASE + 0x1C00)
-#define GPIOI_BASE            (AHB1PERIPH_BASE + 0x2000)
-#define CRC_BASE              (AHB1PERIPH_BASE + 0x3000)
-#define RCC_BASE              (AHB1PERIPH_BASE + 0x3800)
-#define FLASH_R_BASE          (AHB1PERIPH_BASE + 0x3C00)
-#define DMA1_BASE             (AHB1PERIPH_BASE + 0x6000)
-#define DMA1_Stream0_BASE     (DMA1_BASE + 0x010)
-#define DMA1_Stream1_BASE     (DMA1_BASE + 0x028)
-#define DMA1_Stream2_BASE     (DMA1_BASE + 0x040)
-#define DMA1_Stream3_BASE     (DMA1_BASE + 0x058)
-#define DMA1_Stream4_BASE     (DMA1_BASE + 0x070)
-#define DMA1_Stream5_BASE     (DMA1_BASE + 0x088)
-#define DMA1_Stream6_BASE     (DMA1_BASE + 0x0A0)
-#define DMA1_Stream7_BASE     (DMA1_BASE + 0x0B8)
-#define DMA2_BASE             (AHB1PERIPH_BASE + 0x6400)
-#define DMA2_Stream0_BASE     (DMA2_BASE + 0x010)
-#define DMA2_Stream1_BASE     (DMA2_BASE + 0x028)
-#define DMA2_Stream2_BASE     (DMA2_BASE + 0x040)
-#define DMA2_Stream3_BASE     (DMA2_BASE + 0x058)
-#define DMA2_Stream4_BASE     (DMA2_BASE + 0x070)
-#define DMA2_Stream5_BASE     (DMA2_BASE + 0x088)
-#define DMA2_Stream6_BASE     (DMA2_BASE + 0x0A0)
-#define DMA2_Stream7_BASE     (DMA2_BASE + 0x0B8)
-#define ETH_BASE              (AHB1PERIPH_BASE + 0x8000)
+#define GPIOA_BASE            (AHB1PERIPH_BASE + 0x0000UL)
+#define GPIOB_BASE            (AHB1PERIPH_BASE + 0x0400UL)
+#define GPIOC_BASE            (AHB1PERIPH_BASE + 0x0800UL)
+#define GPIOD_BASE            (AHB1PERIPH_BASE + 0x0C00UL)
+#define GPIOE_BASE            (AHB1PERIPH_BASE + 0x1000UL)
+#define GPIOF_BASE            (AHB1PERIPH_BASE + 0x1400UL)
+#define GPIOG_BASE            (AHB1PERIPH_BASE + 0x1800UL)
+#define GPIOH_BASE            (AHB1PERIPH_BASE + 0x1C00UL)
+#define GPIOI_BASE            (AHB1PERIPH_BASE + 0x2000UL)
+#define CRC_BASE              (AHB1PERIPH_BASE + 0x3000UL)
+#define RCC_BASE              (AHB1PERIPH_BASE + 0x3800UL)
+#define FLASH_R_BASE          (AHB1PERIPH_BASE + 0x3C00UL)
+#define DMA1_BASE             (AHB1PERIPH_BASE + 0x6000UL)
+#define DMA1_Stream0_BASE     (DMA1_BASE + 0x010UL)
+#define DMA1_Stream1_BASE     (DMA1_BASE + 0x028UL)
+#define DMA1_Stream2_BASE     (DMA1_BASE + 0x040UL)
+#define DMA1_Stream3_BASE     (DMA1_BASE + 0x058UL)
+#define DMA1_Stream4_BASE     (DMA1_BASE + 0x070UL)
+#define DMA1_Stream5_BASE     (DMA1_BASE + 0x088UL)
+#define DMA1_Stream6_BASE     (DMA1_BASE + 0x0A0UL)
+#define DMA1_Stream7_BASE     (DMA1_BASE + 0x0B8UL)
+#define DMA2_BASE             (AHB1PERIPH_BASE + 0x6400UL)
+#define DMA2_Stream0_BASE     (DMA2_BASE + 0x010UL)
+#define DMA2_Stream1_BASE     (DMA2_BASE + 0x028UL)
+#define DMA2_Stream2_BASE     (DMA2_BASE + 0x040UL)
+#define DMA2_Stream3_BASE     (DMA2_BASE + 0x058UL)
+#define DMA2_Stream4_BASE     (DMA2_BASE + 0x070UL)
+#define DMA2_Stream5_BASE     (DMA2_BASE + 0x088UL)
+#define DMA2_Stream6_BASE     (DMA2_BASE + 0x0A0UL)
+#define DMA2_Stream7_BASE     (DMA2_BASE + 0x0B8UL)
+#define ETH_BASE              (AHB1PERIPH_BASE + 0x8000UL)
 #define ETH_MAC_BASE          (ETH_BASE)
-#define ETH_MMC_BASE          (ETH_BASE + 0x0100)
-#define ETH_PTP_BASE          (ETH_BASE + 0x0700)
-#define ETH_DMA_BASE          (ETH_BASE + 0x1000)
+#define ETH_MMC_BASE          (ETH_BASE + 0x0100UL)
+#define ETH_PTP_BASE          (ETH_BASE + 0x0700UL)
+#define ETH_DMA_BASE          (ETH_BASE + 0x1000UL)
 
 /*!< AHB2 peripherals */
-#define DCMI_BASE             (AHB2PERIPH_BASE + 0x50000)
-#define RNG_BASE              (AHB2PERIPH_BASE + 0x60800)
+#define DCMI_BASE             (AHB2PERIPH_BASE + 0x50000UL)
+#define RNG_BASE              (AHB2PERIPH_BASE + 0x60800UL)
 
 /*!< FSMC Bankx registers base address */
-#define FSMC_Bank1_R_BASE     (FSMC_R_BASE + 0x0000)
-#define FSMC_Bank1E_R_BASE    (FSMC_R_BASE + 0x0104)
-#define FSMC_Bank2_3_R_BASE   (FSMC_R_BASE + 0x0060)
-#define FSMC_Bank4_R_BASE     (FSMC_R_BASE + 0x00A0)
+#define FSMC_Bank1_R_BASE     (FSMC_R_BASE + 0x0000UL)
+#define FSMC_Bank1E_R_BASE    (FSMC_R_BASE + 0x0104UL)
+#define FSMC_Bank2_3_R_BASE   (FSMC_R_BASE + 0x0060UL)
+#define FSMC_Bank4_R_BASE     (FSMC_R_BASE + 0x00A0UL)
 
 /* Debug MCU registers base address */
-#define DBGMCU_BASE           ((uint32_t )0xE0042000)
+#define DBGMCU_BASE           0xE0042000UL
 
 /*!< USB registers base address */
-#define USB_OTG_HS_PERIPH_BASE               ((uint32_t )0x40040000)
-#define USB_OTG_FS_PERIPH_BASE               ((uint32_t )0x50000000)
-
-#define USB_OTG_GLOBAL_BASE                  ((uint32_t )0x000)
-#define USB_OTG_DEVICE_BASE                  ((uint32_t )0x800)
-#define USB_OTG_IN_ENDPOINT_BASE             ((uint32_t )0x900)
-#define USB_OTG_OUT_ENDPOINT_BASE            ((uint32_t )0xB00)
-#define USB_OTG_EP_REG_SIZE                  ((uint32_t )0x20)
-#define USB_OTG_HOST_BASE                    ((uint32_t )0x400)
-#define USB_OTG_HOST_PORT_BASE               ((uint32_t )0x440)
-#define USB_OTG_HOST_CHANNEL_BASE            ((uint32_t )0x500)
-#define USB_OTG_HOST_CHANNEL_SIZE            ((uint32_t )0x20)
-#define USB_OTG_PCGCCTL_BASE                 ((uint32_t )0xE00)
-#define USB_OTG_FIFO_BASE                    ((uint32_t )0x1000)
-#define USB_OTG_FIFO_SIZE                    ((uint32_t )0x1000)
+#define USB_OTG_HS_PERIPH_BASE               0x40040000UL
+#define USB_OTG_FS_PERIPH_BASE               0x50000000UL
+
+#define USB_OTG_GLOBAL_BASE                  0x000UL
+#define USB_OTG_DEVICE_BASE                  0x800UL
+#define USB_OTG_IN_ENDPOINT_BASE             0x900UL
+#define USB_OTG_OUT_ENDPOINT_BASE            0xB00UL
+#define USB_OTG_EP_REG_SIZE                  0x20UL
+#define USB_OTG_HOST_BASE                    0x400UL
+#define USB_OTG_HOST_PORT_BASE               0x440UL
+#define USB_OTG_HOST_CHANNEL_BASE            0x500UL
+#define USB_OTG_HOST_CHANNEL_SIZE            0x20UL
+#define USB_OTG_PCGCCTL_BASE                 0xE00UL
+#define USB_OTG_FIFO_BASE                    0x1000UL
+#define USB_OTG_FIFO_SIZE                    0x1000UL
+
+/*******************  Device electronic signature  ***************/
+#define UID_BASE             0x1FFF7A10UL        /*!< Unique device ID register base address */
+#define FLASHSIZE_BASE       0x1FFF7A22UL        /*!< FLASH Size register base address */
 
 /**
   * @}
@@ -1094,15 +1086,18 @@ USB_OTG_HostChannelTypeDef;
 #define CAN1                ((CAN_TypeDef *) CAN1_BASE)
 #define CAN2                ((CAN_TypeDef *) CAN2_BASE)
 #define PWR                 ((PWR_TypeDef *) PWR_BASE)
-#define DAC                 ((DAC_TypeDef *) DAC_BASE)
+#define DAC1                ((DAC_TypeDef *) DAC_BASE)
+#define DAC                 ((DAC_TypeDef *) DAC_BASE) /* Kept for legacy purpose */
 #define TIM1                ((TIM_TypeDef *) TIM1_BASE)
 #define TIM8                ((TIM_TypeDef *) TIM8_BASE)
 #define USART1              ((USART_TypeDef *) USART1_BASE)
 #define USART6              ((USART_TypeDef *) USART6_BASE)
-#define ADC                 ((ADC_Common_TypeDef *) ADC_BASE)
 #define ADC1                ((ADC_TypeDef *) ADC1_BASE)
 #define ADC2                ((ADC_TypeDef *) ADC2_BASE)
 #define ADC3                ((ADC_TypeDef *) ADC3_BASE)
+#define ADC123_COMMON       ((ADC_Common_TypeDef *) ADC123_COMMON_BASE)
+/* Legacy define */
+#define ADC                  ADC123_COMMON
 #define SDIO                ((SDIO_TypeDef *) SDIO_BASE)
 #define SPI1                ((SPI_TypeDef *) SPI1_BASE) 
 #define SYSCFG              ((SYSCFG_TypeDef *) SYSCFG_BASE)
@@ -1175,360 +1170,593 @@ USB_OTG_HostChannelTypeDef;
 /*                                                                            */
 /******************************************************************************/
 /********************  Bit definition for ADC_SR register  ********************/
-#define  ADC_SR_AWD                          ((uint32_t)0x00000001)       /*!
© COPYRIGHT(c) 2015 STMicroelectronics

-  *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
+  * 
© Copyright (c) 2017 STMicroelectronics.
+  * All rights reserved.

   *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
   ******************************************************************************
   */
 
-/** @addtogroup CMSIS
+/** @addtogroup CMSIS_Device
   * @{
   */
 
@@ -55,7 +38,6 @@
  extern "C" {
 #endif /* __cplusplus */
   
-
 /** @addtogroup Configuration_section_for_CMSIS
   * @{
   */
@@ -63,10 +45,10 @@
 /**
   * @brief Configuration of the Cortex-M3 Processor and Core Peripherals 
   */
-#define __CM3_REV                 0x0200  /*!< Core revision r0p1                            */
-#define __MPU_PRESENT             1       /*!< STM32F2XX provides an MPU                     */
-#define __NVIC_PRIO_BITS          4       /*!< STM32F2XX uses 4 Bits for the Priority Levels */
-#define __Vendor_SysTickConfig    0       /*!< Set to 1 if different SysTick Config is used  */
+#define __CM3_REV                 0x0200U  /*!< Core revision r0p1                            */
+#define __MPU_PRESENT             1U       /*!< STM32F2XX provides an MPU                     */
+#define __NVIC_PRIO_BITS          4U       /*!< STM32F2XX uses 4 Bits for the Priority Levels */
+#define __Vendor_SysTickConfig    0U       /*!< Set to 1 if different SysTick Config is used  */
 
 /**
   * @}
@@ -84,6 +66,7 @@ typedef enum
 {
 /******  Cortex-M3 Processor Exceptions Numbers ****************************************************************/
   NonMaskableInt_IRQn         = -14,    /*!< 2 Non Maskable Interrupt                                          */
+  HardFault_IRQn              = -13,    /*!< 3 Hard Fault Interrupt                                            */
   MemoryManagement_IRQn       = -12,    /*!< 4 Cortex-M3 Memory Management Interrupt                           */
   BusFault_IRQn               = -11,    /*!< 5 Cortex-M3 Bus Fault Interrupt                                   */
   UsageFault_IRQn             = -10,    /*!< 6 Cortex-M3 Usage Fault Interrupt                                 */
@@ -484,7 +467,6 @@ typedef struct
   __IO uint32_t SR2;        /*!< I2C Status register 2,      Address offset: 0x18 */
   __IO uint32_t CCR;        /*!< I2C Clock control register, Address offset: 0x1C */
   __IO uint32_t TRISE;      /*!< I2C TRISE register,         Address offset: 0x20 */
-  __IO uint32_t FLTR;       /*!< I2C FLTR register,          Address offset: 0x24 */
 } I2C_TypeDef;
 
 /** 
@@ -697,6 +679,7 @@ typedef struct
   __IO uint32_t SR;   /*!< WWDG Status register,        Address offset: 0x08 */
 } WWDG_TypeDef;
 
+
 /** 
   * @brief Crypto Processor
   */
@@ -705,7 +688,7 @@ typedef struct
 {
   __IO uint32_t CR;     /*!< CRYP control register,                            Address offset: 0x00 */
   __IO uint32_t SR;     /*!< CRYP status register,                             Address offset: 0x04 */
-  __IO uint32_t DR;     /*!< CRYP data input register,                         Address offset: 0x08 */
+  __IO uint32_t DIN;    /*!< CRYP data input register,                                 Address offset: 0x08 */
   __IO uint32_t DOUT;   /*!< CRYP data output register,                        Address offset: 0x0C */
   __IO uint32_t DMACR;  /*!< CRYP DMA control register,                        Address offset: 0x10 */
   __IO uint32_t IMSCR;  /*!< CRYP interrupt mask set/clear register,           Address offset: 0x14 */
@@ -759,24 +742,24 @@ typedef struct
   */
 typedef struct
 {
-  __IO uint32_t GOTGCTL;      /*!<  USB_OTG Control and Status Register    000h*/
-  __IO uint32_t GOTGINT;      /*!<  USB_OTG Interrupt Register             004h*/
-  __IO uint32_t GAHBCFG;      /*!<  Core AHB Configuration Register    008h*/
-  __IO uint32_t GUSBCFG;      /*!<  Core USB Configuration Register    00Ch*/
-  __IO uint32_t GRSTCTL;      /*!<  Core Reset Register                010h*/
-  __IO uint32_t GINTSTS;      /*!<  Core Interrupt Register            014h*/
-  __IO uint32_t GINTMSK;      /*!<  Core Interrupt Mask Register       018h*/
-  __IO uint32_t GRXSTSR;      /*!<  Receive Sts Q Read Register        01Ch*/
-  __IO uint32_t GRXSTSP;      /*!<  Receive Sts Q Read & POP Register  020h*/
-  __IO uint32_t GRXFSIZ;      /* Receive FIFO Size Register         024h*/
-  __IO uint32_t DIEPTXF0_HNPTXFSIZ;   /*!<  EP0 / Non Periodic Tx FIFO Size Register 028h*/
-  __IO uint32_t HNPTXSTS;     /*!<  Non Periodic Tx FIFO/Queue Sts reg 02Ch*/
-  uint32_t Reserved30[2];     /* Reserved                           030h*/
-  __IO uint32_t GCCFG;        /* General Purpose IO Register        038h*/
-  __IO uint32_t CID;          /* User ID Register                   03Ch*/
-  uint32_t  Reserved40[48];   /* Reserved                      040h-0FFh*/
-  __IO uint32_t HPTXFSIZ; /* Host Periodic Tx FIFO Size Reg     100h*/
-  __IO uint32_t DIEPTXF[0x0F];/* dev Periodic Transmit FIFO */
+  __IO uint32_t GOTGCTL;              /*!<  USB_OTG Control and Status Register    Address offset : 0x00      */
+  __IO uint32_t GOTGINT;              /*!<  USB_OTG Interrupt Register             Address offset : 0x04      */
+  __IO uint32_t GAHBCFG;              /*!<  Core AHB Configuration Register        Address offset : 0x08      */
+  __IO uint32_t GUSBCFG;              /*!<  Core USB Configuration Register        Address offset : 0x0C      */
+  __IO uint32_t GRSTCTL;              /*!<  Core Reset Register                    Address offset : 0x10      */
+  __IO uint32_t GINTSTS;              /*!<  Core Interrupt Register                Address offset : 0x14      */
+  __IO uint32_t GINTMSK;              /*!<  Core Interrupt Mask Register           Address offset : 0x18      */
+  __IO uint32_t GRXSTSR;              /*!<  Receive Sts Q Read Register            Address offset : 0x1C      */
+  __IO uint32_t GRXSTSP;              /*!<  Receive Sts Q Read & POP Register      Address offset : 0x20      */
+  __IO uint32_t GRXFSIZ;              /* Receive FIFO Size Register                Address offset : 0x24      */
+  __IO uint32_t DIEPTXF0_HNPTXFSIZ;   /*!<  EP0 / Non Periodic Tx FIFO Size Register Address offset : 0x28    */
+  __IO uint32_t HNPTXSTS;             /*!<  Non Periodic Tx FIFO/Queue Sts reg     Address offset : 0x2C      */
+  uint32_t Reserved30[2];             /* Reserved                                  Address offset : 0x30      */
+  __IO uint32_t GCCFG;                /*!<  General Purpose IO Register            Address offset : 0x38      */
+  __IO uint32_t CID;                  /*!< User ID Register                          Address offset : 0x3C      */
+  uint32_t  Reserved40[48];           /*!< Reserved                                  Address offset : 0x40-0xFF */
+  __IO uint32_t HPTXFSIZ;             /*!< Host Periodic Tx FIFO Size Reg            Address offset : 0x100 */
+  __IO uint32_t DIEPTXF[0x0F];        /*!< dev Periodic Transmit FIFO */
 }
 USB_OTG_GlobalTypeDef;
 
@@ -787,26 +770,26 @@ USB_OTG_GlobalTypeDef;
   */
 typedef struct 
 {
-  __IO uint32_t DCFG;         /* dev Configuration Register   800h*/
-  __IO uint32_t DCTL;         /* dev Control Register         804h*/
-  __IO uint32_t DSTS;         /* dev Status Register (RO)     808h*/
-  uint32_t Reserved0C;           /* Reserved                     80Ch*/
-  __IO uint32_t DIEPMSK;   /* dev IN Endpoint Mask         810h*/
-  __IO uint32_t DOEPMSK;  /* dev OUT Endpoint Mask        814h*/
-  __IO uint32_t DAINT;     /* dev All Endpoints Itr Reg    818h*/
-  __IO uint32_t DAINTMSK; /* dev All Endpoints Itr Mask   81Ch*/
-  uint32_t  Reserved20;          /* Reserved                     820h*/
-  uint32_t Reserved9;       /* Reserved                     824h*/
-  __IO uint32_t DVBUSDIS;    /* dev VBUS discharge Register  828h*/
-  __IO uint32_t DVBUSPULSE;  /* dev VBUS Pulse Register      82Ch*/
-  __IO uint32_t DTHRCTL;     /* dev thr                      830h*/
-  __IO uint32_t DIEPEMPMSK; /* dev empty msk             834h*/
-  __IO uint32_t DEACHINT;    /* dedicated EP interrupt       838h*/
-  __IO uint32_t DEACHMSK;    /* dedicated EP msk             83Ch*/  
-  uint32_t Reserved40;      /* dedicated EP mask           840h*/
-  __IO uint32_t DINEP1MSK;  /* dedicated EP mask           844h*/
-  uint32_t  Reserved44[15];      /* Reserved                 844-87Ch*/
-  __IO uint32_t DOUTEP1MSK; /* dedicated EP msk            884h*/   
+  __IO uint32_t DCFG;         /*!< dev Configuration Register   Address offset : 0x800 */
+  __IO uint32_t DCTL;         /*!< dev Control Register         Address offset : 0x804 */
+  __IO uint32_t DSTS;         /*!< dev Status Register (RO)     Address offset : 0x808 */
+  uint32_t Reserved0C;        /*!< Reserved                     Address offset : 0x80C */
+  __IO uint32_t DIEPMSK;      /*!< dev IN Endpoint Mask        Address offset : 0x810 */
+  __IO uint32_t DOEPMSK;      /*!< dev OUT Endpoint Mask        Address offset : 0x814 */
+  __IO uint32_t DAINT;        /*!< dev All Endpoints Itr Reg    Address offset : 0x818 */
+  __IO uint32_t DAINTMSK;     /*!< dev All Endpoints Itr Mask   Address offset : 0x81C */
+  uint32_t  Reserved20;       /*!< Reserved                     Address offset : 0x820 */
+  uint32_t Reserved9;         /*!< Reserved                     Address offset : 0x824 */
+  __IO uint32_t DVBUSDIS;     /*!< dev VBUS discharge Register  Address offset : 0x828 */
+  __IO uint32_t DVBUSPULSE;   /*!< dev VBUS Pulse Register      Address offset : 0x82C */
+  __IO uint32_t DTHRCTL;      /*!< dev thr                      Address offset : 0x830 */
+  __IO uint32_t DIEPEMPMSK;   /*!< dev empty msk                Address offset : 0x834 */
+  __IO uint32_t DEACHINT;     /*!< dedicated EP interrupt       Address offset : 0x838 */
+  __IO uint32_t DEACHMSK;     /*!< dedicated EP msk             Address offset : 0x83C */  
+  uint32_t Reserved40;        /*!< dedicated EP mask            Address offset : 0x840 */
+  __IO uint32_t DINEP1MSK;    /*!< dedicated EP mask            Address offset : 0x844 */
+  uint32_t  Reserved44[15];   /*!< Reserved                     Address offset : 0x844-0x87C */
+  __IO uint32_t DOUTEP1MSK;   /*!< dedicated EP msk             Address offset : 0x884 */   
 }
 USB_OTG_DeviceTypeDef;
 
@@ -816,14 +799,14 @@ USB_OTG_DeviceTypeDef;
   */
 typedef struct 
 {
-  __IO uint32_t DIEPCTL; /* dev IN Endpoint Control Reg 900h + (ep_num * 20h) + 00h*/
-  uint32_t Reserved04;             /* Reserved                       900h + (ep_num * 20h) + 04h*/
-  __IO uint32_t DIEPINT; /* dev IN Endpoint Itr Reg     900h + (ep_num * 20h) + 08h*/
-  uint32_t Reserved0C;             /* Reserved                       900h + (ep_num * 20h) + 0Ch*/
-  __IO uint32_t DIEPTSIZ; /* IN Endpoint Txfer Size   900h + (ep_num * 20h) + 10h*/
-  __IO uint32_t DIEPDMA; /* IN Endpoint DMA Address Reg    900h + (ep_num * 20h) + 14h*/
-  __IO uint32_t DTXFSTS;/*IN Endpoint Tx FIFO Status Reg 900h + (ep_num * 20h) + 18h*/
-  uint32_t Reserved18;             /* Reserved  900h+(ep_num*20h)+1Ch-900h+ (ep_num * 20h) + 1Ch*/
+  __IO uint32_t DIEPCTL;        /* dev IN Endpoint Control Reg 900h + (ep_num * 20h) + 00h     */
+  uint32_t Reserved04;          /* Reserved                       900h + (ep_num * 20h) + 04h  */
+  __IO uint32_t DIEPINT;        /* dev IN Endpoint Itr Reg     900h + (ep_num * 20h) + 08h     */
+  uint32_t Reserved0C;          /* Reserved                       900h + (ep_num * 20h) + 0Ch  */
+  __IO uint32_t DIEPTSIZ;       /* IN Endpoint Txfer Size   900h + (ep_num * 20h) + 10h        */
+  __IO uint32_t DIEPDMA;        /* IN Endpoint DMA Address Reg    900h + (ep_num * 20h) + 14h  */
+  __IO uint32_t DTXFSTS;        /* IN Endpoint Tx FIFO Status Reg 900h + (ep_num * 20h) + 18h   */
+  uint32_t Reserved18;          /* Reserved  900h+(ep_num*20h)+1Ch-900h+ (ep_num * 20h) + 1Ch */
 }
 USB_OTG_INEndpointTypeDef;
 
@@ -850,12 +833,12 @@ USB_OTG_OUTEndpointTypeDef;
 typedef struct 
 {
   __IO uint32_t HCFG;             /* Host Configuration Register    400h*/
-  __IO uint32_t HFIR;      /* Host Frame Interval Register   404h*/
-  __IO uint32_t HFNUM;         /* Host Frame Nbr/Frame Remaining 408h*/
-  uint32_t Reserved40C;                   /* Reserved                       40Ch*/
-  __IO uint32_t HPTXSTS;   /* Host Periodic Tx FIFO/ Queue Status 410h*/
-  __IO uint32_t HAINT;   /* Host All Channels Interrupt Register 414h*/
-  __IO uint32_t HAINTMSK;   /* Host All Channels Interrupt Mask 418h*/
+  __IO uint32_t HFIR;             /* Host Frame Interval Register   404h*/
+  __IO uint32_t HFNUM;            /* Host Frame Nbr/Frame Remaining 408h*/
+  uint32_t Reserved40C;           /* Reserved                       40Ch*/
+  __IO uint32_t HPTXSTS;          /* Host Periodic Tx FIFO/ Queue Status 410h*/
+  __IO uint32_t HAINT;            /* Host All Channels Interrupt Register 414h*/
+  __IO uint32_t HAINTMSK;         /* Host All Channels Interrupt Mask 418h*/
 }
 USB_OTG_HostTypeDef;
 
@@ -879,18 +862,19 @@ USB_OTG_HostChannelTypeDef;
 /** 
   * @brief Peripheral_memory_map
   */
-#define FLASH_BASE            ((uint32_t)0x08000000) /*!< FLASH(up to 1 MB) base address in the alias region                         */
-#define SRAM1_BASE            ((uint32_t)0x20000000) /*!< SRAM1(112 KB) base address in the alias region                             */
-#define SRAM2_BASE            ((uint32_t)0x2001C000) /*!< SRAM2(16 KB) base address in the alias region                              */
-#define PERIPH_BASE           ((uint32_t)0x40000000) /*!< Peripheral base address in the alias region                                */
-#define BKPSRAM_BASE          ((uint32_t)0x40024000) /*!< Backup SRAM(4 KB) base address in the alias region                         */
-#define FSMC_R_BASE           ((uint32_t)0xA0000000) /*!< FSMC registers base address                                                */
-#define SRAM1_BB_BASE         ((uint32_t)0x22000000) /*!< SRAM1(112 KB) base address in the bit-band region                          */
-#define SRAM2_BB_BASE         ((uint32_t)0x22380000) /*!< SRAM2(16 KB) base address in the bit-band region                           */
-#define PERIPH_BB_BASE        ((uint32_t)0x42000000) /*!< Peripheral base address in the bit-band region                             */
-#define BKPSRAM_BB_BASE       ((uint32_t)0x42480000) /*!< Backup SRAM(4 KB) base address in the bit-band region                      */
-#define FLASH_END             ((uint32_t)0x080FFFFF) /*!< FLASH end address                                                          */
-
+#define FLASH_BASE            0x08000000UL /*!< FLASH(up to 1 MB) base address in the alias region                         */
+#define SRAM1_BASE            0x20000000UL /*!< SRAM1(112 KB) base address in the alias region                             */
+#define SRAM2_BASE            0x2001C000UL /*!< SRAM2(16 KB) base address in the alias region                              */
+#define PERIPH_BASE           0x40000000UL /*!< Peripheral base address in the alias region                                */
+#define BKPSRAM_BASE          0x40024000UL /*!< Backup SRAM(4 KB) base address in the alias region                         */
+#define FSMC_R_BASE           0xA0000000UL /*!< FSMC registers base address                                                */
+#define SRAM1_BB_BASE         0x22000000UL /*!< SRAM1(112 KB) base address in the bit-band region                          */
+#define SRAM2_BB_BASE         0x22380000UL /*!< SRAM2(16 KB) base address in the bit-band region                           */
+#define PERIPH_BB_BASE        0x42000000UL /*!< Peripheral base address in the bit-band region                             */
+#define BKPSRAM_BB_BASE       0x42480000UL /*!< Backup SRAM(4 KB) base address in the bit-band region                      */
+#define FLASH_END             0x080FFFFFUL /*!< FLASH end address                                                          */
+#define FLASH_OTP_BASE        0x1FFF7800UL /*!< Base address of : (up to 528 Bytes) embedded FLASH OTP Area                */
+#define FLASH_OTP_END         0x1FFF7A0FUL /*!< End address of : (up to 528 Bytes) embedded FLASH OTP Area                 */
 
 /* Legacy defines */
 #define SRAM_BASE             SRAM1_BASE
@@ -899,117 +883,123 @@ USB_OTG_HostChannelTypeDef;
 
 /*!< Peripheral memory map */
 #define APB1PERIPH_BASE       PERIPH_BASE
-#define APB2PERIPH_BASE       (PERIPH_BASE + 0x00010000)
-#define AHB1PERIPH_BASE       (PERIPH_BASE + 0x00020000)
-#define AHB2PERIPH_BASE       (PERIPH_BASE + 0x10000000)
+#define APB2PERIPH_BASE       (PERIPH_BASE + 0x00010000UL)
+#define AHB1PERIPH_BASE       (PERIPH_BASE + 0x00020000UL)
+#define AHB2PERIPH_BASE       (PERIPH_BASE + 0x10000000UL)
 
 /*!< APB1 peripherals */
-#define TIM2_BASE             (APB1PERIPH_BASE + 0x0000)
-#define TIM3_BASE             (APB1PERIPH_BASE + 0x0400)
-#define TIM4_BASE             (APB1PERIPH_BASE + 0x0800)
-#define TIM5_BASE             (APB1PERIPH_BASE + 0x0C00)
-#define TIM6_BASE             (APB1PERIPH_BASE + 0x1000)
-#define TIM7_BASE             (APB1PERIPH_BASE + 0x1400)
-#define TIM12_BASE            (APB1PERIPH_BASE + 0x1800)
-#define TIM13_BASE            (APB1PERIPH_BASE + 0x1C00)
-#define TIM14_BASE            (APB1PERIPH_BASE + 0x2000)
-#define RTC_BASE              (APB1PERIPH_BASE + 0x2800)
-#define WWDG_BASE             (APB1PERIPH_BASE + 0x2C00)
-#define IWDG_BASE             (APB1PERIPH_BASE + 0x3000)
-#define SPI2_BASE             (APB1PERIPH_BASE + 0x3800)
-#define SPI3_BASE             (APB1PERIPH_BASE + 0x3C00)
-#define USART2_BASE           (APB1PERIPH_BASE + 0x4400)
-#define USART3_BASE           (APB1PERIPH_BASE + 0x4800)
-#define UART4_BASE            (APB1PERIPH_BASE + 0x4C00)
-#define UART5_BASE            (APB1PERIPH_BASE + 0x5000)
-#define I2C1_BASE             (APB1PERIPH_BASE + 0x5400)
-#define I2C2_BASE             (APB1PERIPH_BASE + 0x5800)
-#define I2C3_BASE             (APB1PERIPH_BASE + 0x5C00)
-#define CAN1_BASE             (APB1PERIPH_BASE + 0x6400)
-#define CAN2_BASE             (APB1PERIPH_BASE + 0x6800)
-#define PWR_BASE              (APB1PERIPH_BASE + 0x7000)
-#define DAC_BASE              (APB1PERIPH_BASE + 0x7400)
+#define TIM2_BASE             (APB1PERIPH_BASE + 0x0000UL)
+#define TIM3_BASE             (APB1PERIPH_BASE + 0x0400UL)
+#define TIM4_BASE             (APB1PERIPH_BASE + 0x0800UL)
+#define TIM5_BASE             (APB1PERIPH_BASE + 0x0C00UL)
+#define TIM6_BASE             (APB1PERIPH_BASE + 0x1000UL)
+#define TIM7_BASE             (APB1PERIPH_BASE + 0x1400UL)
+#define TIM12_BASE            (APB1PERIPH_BASE + 0x1800UL)
+#define TIM13_BASE            (APB1PERIPH_BASE + 0x1C00UL)
+#define TIM14_BASE            (APB1PERIPH_BASE + 0x2000UL)
+#define RTC_BASE              (APB1PERIPH_BASE + 0x2800UL)
+#define WWDG_BASE             (APB1PERIPH_BASE + 0x2C00UL)
+#define IWDG_BASE             (APB1PERIPH_BASE + 0x3000UL)
+#define SPI2_BASE             (APB1PERIPH_BASE + 0x3800UL)
+#define SPI3_BASE             (APB1PERIPH_BASE + 0x3C00UL)
+#define USART2_BASE           (APB1PERIPH_BASE + 0x4400UL)
+#define USART3_BASE           (APB1PERIPH_BASE + 0x4800UL)
+#define UART4_BASE            (APB1PERIPH_BASE + 0x4C00UL)
+#define UART5_BASE            (APB1PERIPH_BASE + 0x5000UL)
+#define I2C1_BASE             (APB1PERIPH_BASE + 0x5400UL)
+#define I2C2_BASE             (APB1PERIPH_BASE + 0x5800UL)
+#define I2C3_BASE             (APB1PERIPH_BASE + 0x5C00UL)
+#define CAN1_BASE             (APB1PERIPH_BASE + 0x6400UL)
+#define CAN2_BASE             (APB1PERIPH_BASE + 0x6800UL)
+#define PWR_BASE              (APB1PERIPH_BASE + 0x7000UL)
+#define DAC_BASE              (APB1PERIPH_BASE + 0x7400UL)
 
 /*!< APB2 peripherals */
-#define TIM1_BASE             (APB2PERIPH_BASE + 0x0000)
-#define TIM8_BASE             (APB2PERIPH_BASE + 0x0400)
-#define USART1_BASE           (APB2PERIPH_BASE + 0x1000)
-#define USART6_BASE           (APB2PERIPH_BASE + 0x1400)
-#define ADC1_BASE             (APB2PERIPH_BASE + 0x2000)
-#define ADC2_BASE             (APB2PERIPH_BASE + 0x2100)
-#define ADC3_BASE             (APB2PERIPH_BASE + 0x2200)
-#define ADC_BASE              (APB2PERIPH_BASE + 0x2300)
-#define SDIO_BASE             (APB2PERIPH_BASE + 0x2C00)
-#define SPI1_BASE             (APB2PERIPH_BASE + 0x3000)
-#define SYSCFG_BASE           (APB2PERIPH_BASE + 0x3800)
-#define EXTI_BASE             (APB2PERIPH_BASE + 0x3C00)
-#define TIM9_BASE             (APB2PERIPH_BASE + 0x4000)
-#define TIM10_BASE            (APB2PERIPH_BASE + 0x4400)
-#define TIM11_BASE            (APB2PERIPH_BASE + 0x4800)
+#define TIM1_BASE             (APB2PERIPH_BASE + 0x0000UL)
+#define TIM8_BASE             (APB2PERIPH_BASE + 0x0400UL)
+#define USART1_BASE           (APB2PERIPH_BASE + 0x1000UL)
+#define USART6_BASE           (APB2PERIPH_BASE + 0x1400UL)
+#define ADC1_BASE             (APB2PERIPH_BASE + 0x2000UL)
+#define ADC2_BASE             (APB2PERIPH_BASE + 0x2100UL)
+#define ADC3_BASE             (APB2PERIPH_BASE + 0x2200UL)
+#define ADC123_COMMON_BASE    (APB2PERIPH_BASE + 0x2300UL)
+/* Legacy define */
+#define ADC_BASE               ADC123_COMMON_BASE
+
+#define SDIO_BASE             (APB2PERIPH_BASE + 0x2C00UL)
+#define SPI1_BASE             (APB2PERIPH_BASE + 0x3000UL)
+#define SYSCFG_BASE           (APB2PERIPH_BASE + 0x3800UL)
+#define EXTI_BASE             (APB2PERIPH_BASE + 0x3C00UL)
+#define TIM9_BASE             (APB2PERIPH_BASE + 0x4000UL)
+#define TIM10_BASE            (APB2PERIPH_BASE + 0x4400UL)
+#define TIM11_BASE            (APB2PERIPH_BASE + 0x4800UL)
 
 /*!< AHB1 peripherals */
-#define GPIOA_BASE            (AHB1PERIPH_BASE + 0x0000)
-#define GPIOB_BASE            (AHB1PERIPH_BASE + 0x0400)
-#define GPIOC_BASE            (AHB1PERIPH_BASE + 0x0800)
-#define GPIOD_BASE            (AHB1PERIPH_BASE + 0x0C00)
-#define GPIOE_BASE            (AHB1PERIPH_BASE + 0x1000)
-#define GPIOF_BASE            (AHB1PERIPH_BASE + 0x1400)
-#define GPIOG_BASE            (AHB1PERIPH_BASE + 0x1800)
-#define GPIOH_BASE            (AHB1PERIPH_BASE + 0x1C00)
-#define GPIOI_BASE            (AHB1PERIPH_BASE + 0x2000)
-#define CRC_BASE              (AHB1PERIPH_BASE + 0x3000)
-#define RCC_BASE              (AHB1PERIPH_BASE + 0x3800)
-#define FLASH_R_BASE          (AHB1PERIPH_BASE + 0x3C00)
-#define DMA1_BASE             (AHB1PERIPH_BASE + 0x6000)
-#define DMA1_Stream0_BASE     (DMA1_BASE + 0x010)
-#define DMA1_Stream1_BASE     (DMA1_BASE + 0x028)
-#define DMA1_Stream2_BASE     (DMA1_BASE + 0x040)
-#define DMA1_Stream3_BASE     (DMA1_BASE + 0x058)
-#define DMA1_Stream4_BASE     (DMA1_BASE + 0x070)
-#define DMA1_Stream5_BASE     (DMA1_BASE + 0x088)
-#define DMA1_Stream6_BASE     (DMA1_BASE + 0x0A0)
-#define DMA1_Stream7_BASE     (DMA1_BASE + 0x0B8)
-#define DMA2_BASE             (AHB1PERIPH_BASE + 0x6400)
-#define DMA2_Stream0_BASE     (DMA2_BASE + 0x010)
-#define DMA2_Stream1_BASE     (DMA2_BASE + 0x028)
-#define DMA2_Stream2_BASE     (DMA2_BASE + 0x040)
-#define DMA2_Stream3_BASE     (DMA2_BASE + 0x058)
-#define DMA2_Stream4_BASE     (DMA2_BASE + 0x070)
-#define DMA2_Stream5_BASE     (DMA2_BASE + 0x088)
-#define DMA2_Stream6_BASE     (DMA2_BASE + 0x0A0)
-#define DMA2_Stream7_BASE     (DMA2_BASE + 0x0B8)
+#define GPIOA_BASE            (AHB1PERIPH_BASE + 0x0000UL)
+#define GPIOB_BASE            (AHB1PERIPH_BASE + 0x0400UL)
+#define GPIOC_BASE            (AHB1PERIPH_BASE + 0x0800UL)
+#define GPIOD_BASE            (AHB1PERIPH_BASE + 0x0C00UL)
+#define GPIOE_BASE            (AHB1PERIPH_BASE + 0x1000UL)
+#define GPIOF_BASE            (AHB1PERIPH_BASE + 0x1400UL)
+#define GPIOG_BASE            (AHB1PERIPH_BASE + 0x1800UL)
+#define GPIOH_BASE            (AHB1PERIPH_BASE + 0x1C00UL)
+#define GPIOI_BASE            (AHB1PERIPH_BASE + 0x2000UL)
+#define CRC_BASE              (AHB1PERIPH_BASE + 0x3000UL)
+#define RCC_BASE              (AHB1PERIPH_BASE + 0x3800UL)
+#define FLASH_R_BASE          (AHB1PERIPH_BASE + 0x3C00UL)
+#define DMA1_BASE             (AHB1PERIPH_BASE + 0x6000UL)
+#define DMA1_Stream0_BASE     (DMA1_BASE + 0x010UL)
+#define DMA1_Stream1_BASE     (DMA1_BASE + 0x028UL)
+#define DMA1_Stream2_BASE     (DMA1_BASE + 0x040UL)
+#define DMA1_Stream3_BASE     (DMA1_BASE + 0x058UL)
+#define DMA1_Stream4_BASE     (DMA1_BASE + 0x070UL)
+#define DMA1_Stream5_BASE     (DMA1_BASE + 0x088UL)
+#define DMA1_Stream6_BASE     (DMA1_BASE + 0x0A0UL)
+#define DMA1_Stream7_BASE     (DMA1_BASE + 0x0B8UL)
+#define DMA2_BASE             (AHB1PERIPH_BASE + 0x6400UL)
+#define DMA2_Stream0_BASE     (DMA2_BASE + 0x010UL)
+#define DMA2_Stream1_BASE     (DMA2_BASE + 0x028UL)
+#define DMA2_Stream2_BASE     (DMA2_BASE + 0x040UL)
+#define DMA2_Stream3_BASE     (DMA2_BASE + 0x058UL)
+#define DMA2_Stream4_BASE     (DMA2_BASE + 0x070UL)
+#define DMA2_Stream5_BASE     (DMA2_BASE + 0x088UL)
+#define DMA2_Stream6_BASE     (DMA2_BASE + 0x0A0UL)
+#define DMA2_Stream7_BASE     (DMA2_BASE + 0x0B8UL)
 
 /*!< AHB2 peripherals */
-#define CRYP_BASE             (AHB2PERIPH_BASE + 0x60000)
-#define HASH_BASE             (AHB2PERIPH_BASE + 0x60400)
-#define HASH_DIGEST_BASE      (AHB2PERIPH_BASE + 0x60710)
-#define RNG_BASE              (AHB2PERIPH_BASE + 0x60800)
+#define CRYP_BASE             (AHB2PERIPH_BASE + 0x60000UL)
+#define HASH_BASE             (AHB2PERIPH_BASE + 0x60400UL)
+#define RNG_BASE              (AHB2PERIPH_BASE + 0x60800UL)
 
 /*!< FSMC Bankx registers base address */
-#define FSMC_Bank1_R_BASE     (FSMC_R_BASE + 0x0000)
-#define FSMC_Bank1E_R_BASE    (FSMC_R_BASE + 0x0104)
-#define FSMC_Bank2_3_R_BASE   (FSMC_R_BASE + 0x0060)
-#define FSMC_Bank4_R_BASE     (FSMC_R_BASE + 0x00A0)
+#define FSMC_Bank1_R_BASE     (FSMC_R_BASE + 0x0000UL)
+#define FSMC_Bank1E_R_BASE    (FSMC_R_BASE + 0x0104UL)
+#define FSMC_Bank2_3_R_BASE   (FSMC_R_BASE + 0x0060UL)
+#define FSMC_Bank4_R_BASE     (FSMC_R_BASE + 0x00A0UL)
 
 /* Debug MCU registers base address */
-#define DBGMCU_BASE           ((uint32_t )0xE0042000)
+#define DBGMCU_BASE           0xE0042000UL
 
 /*!< USB registers base address */
-#define USB_OTG_HS_PERIPH_BASE               ((uint32_t )0x40040000)
-#define USB_OTG_FS_PERIPH_BASE               ((uint32_t )0x50000000)
-
-#define USB_OTG_GLOBAL_BASE                  ((uint32_t )0x000)
-#define USB_OTG_DEVICE_BASE                  ((uint32_t )0x800)
-#define USB_OTG_IN_ENDPOINT_BASE             ((uint32_t )0x900)
-#define USB_OTG_OUT_ENDPOINT_BASE            ((uint32_t )0xB00)
-#define USB_OTG_EP_REG_SIZE                  ((uint32_t )0x20)
-#define USB_OTG_HOST_BASE                    ((uint32_t )0x400)
-#define USB_OTG_HOST_PORT_BASE               ((uint32_t )0x440)
-#define USB_OTG_HOST_CHANNEL_BASE            ((uint32_t )0x500)
-#define USB_OTG_HOST_CHANNEL_SIZE            ((uint32_t )0x20)
-#define USB_OTG_PCGCCTL_BASE                 ((uint32_t )0xE00)
-#define USB_OTG_FIFO_BASE                    ((uint32_t )0x1000)
-#define USB_OTG_FIFO_SIZE                    ((uint32_t )0x1000)
+#define USB_OTG_HS_PERIPH_BASE               0x40040000UL
+#define USB_OTG_FS_PERIPH_BASE               0x50000000UL
+
+#define USB_OTG_GLOBAL_BASE                  0x000UL
+#define USB_OTG_DEVICE_BASE                  0x800UL
+#define USB_OTG_IN_ENDPOINT_BASE             0x900UL
+#define USB_OTG_OUT_ENDPOINT_BASE            0xB00UL
+#define USB_OTG_EP_REG_SIZE                  0x20UL
+#define USB_OTG_HOST_BASE                    0x400UL
+#define USB_OTG_HOST_PORT_BASE               0x440UL
+#define USB_OTG_HOST_CHANNEL_BASE            0x500UL
+#define USB_OTG_HOST_CHANNEL_SIZE            0x20UL
+#define USB_OTG_PCGCCTL_BASE                 0xE00UL
+#define USB_OTG_FIFO_BASE                    0x1000UL
+#define USB_OTG_FIFO_SIZE                    0x1000UL
+
+/*******************  Device electronic signature  ***************/
+#define UID_BASE             0x1FFF7A10UL        /*!< Unique device ID register base address */
+#define FLASHSIZE_BASE       0x1FFF7A22UL        /*!< FLASH Size register base address */
 
 /**
   * @}
@@ -1042,15 +1032,18 @@ USB_OTG_HostChannelTypeDef;
 #define CAN1                ((CAN_TypeDef *) CAN1_BASE)
 #define CAN2                ((CAN_TypeDef *) CAN2_BASE)
 #define PWR                 ((PWR_TypeDef *) PWR_BASE)
-#define DAC                 ((DAC_TypeDef *) DAC_BASE)
+#define DAC1                ((DAC_TypeDef *) DAC_BASE)
+#define DAC                 ((DAC_TypeDef *) DAC_BASE) /* Kept for legacy purpose */
 #define TIM1                ((TIM_TypeDef *) TIM1_BASE)
 #define TIM8                ((TIM_TypeDef *) TIM8_BASE)
 #define USART1              ((USART_TypeDef *) USART1_BASE)
 #define USART6              ((USART_TypeDef *) USART6_BASE)
-#define ADC                 ((ADC_Common_TypeDef *) ADC_BASE)
 #define ADC1                ((ADC_TypeDef *) ADC1_BASE)
 #define ADC2                ((ADC_TypeDef *) ADC2_BASE)
 #define ADC3                ((ADC_TypeDef *) ADC3_BASE)
+#define ADC123_COMMON       ((ADC_Common_TypeDef *) ADC123_COMMON_BASE)
+/* Legacy define */
+#define ADC                  ADC123_COMMON
 #define SDIO                ((SDIO_TypeDef *) SDIO_BASE)
 #define SPI1                ((SPI_TypeDef *) SPI1_BASE) 
 #define SYSCFG              ((SYSCFG_TypeDef *) SYSCFG_BASE)
@@ -1090,7 +1083,6 @@ USB_OTG_HostChannelTypeDef;
 #define DMA2_Stream7        ((DMA_Stream_TypeDef *) DMA2_Stream7_BASE)
 #define CRYP                ((CRYP_TypeDef *) CRYP_BASE)
 #define HASH                ((HASH_TypeDef *) HASH_BASE)
-#define HASH_DIGEST         ((HASH_DIGEST_TypeDef *) HASH_DIGEST_BASE)
 #define RNG                 ((RNG_TypeDef *) RNG_BASE)
 #define FSMC_Bank1          ((FSMC_Bank1_TypeDef *) FSMC_Bank1_R_BASE)
 #define FSMC_Bank1E         ((FSMC_Bank1E_TypeDef *) FSMC_Bank1E_R_BASE)
@@ -1124,360 +1116,593 @@ USB_OTG_HostChannelTypeDef;
 /*                                                                            */
 /******************************************************************************/
 /********************  Bit definition for ADC_SR register  ********************/
-#define  ADC_SR_AWD                          ((uint32_t)0x00000001)       /*!
© COPYRIGHT 2015 STMicroelectronics

+  * 
© Copyright (c) 2017 STMicroelectronics.
+  * All rights reserved.

   *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
-  *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
   ******************************************************************************
   */
 
-/** @addtogroup CMSIS
+/** @addtogroup CMSIS_Device
   * @{
   */
 
@@ -55,7 +38,6 @@
  extern "C" {
 #endif /* __cplusplus */
   
-
 /** @addtogroup Configuration_section_for_CMSIS
   * @{
   */
@@ -63,10 +45,10 @@
 /**
   * @brief Configuration of the Cortex-M3 Processor and Core Peripherals 
   */
-#define __CM3_REV                 0x0200  /*!< Core revision r0p1                            */
-#define __MPU_PRESENT             1       /*!< STM32F2XX provides an MPU                     */
-#define __NVIC_PRIO_BITS          4       /*!< STM32F2XX uses 4 Bits for the Priority Levels */
-#define __Vendor_SysTickConfig    0       /*!< Set to 1 if different SysTick Config is used  */
+#define __CM3_REV                 0x0200U  /*!< Core revision r0p1                            */
+#define __MPU_PRESENT             1U       /*!< STM32F2XX provides an MPU                     */
+#define __NVIC_PRIO_BITS          4U       /*!< STM32F2XX uses 4 Bits for the Priority Levels */
+#define __Vendor_SysTickConfig    0U       /*!< Set to 1 if different SysTick Config is used  */
 
 /**
   * @}
@@ -84,6 +66,7 @@ typedef enum
 {
 /******  Cortex-M3 Processor Exceptions Numbers ****************************************************************/
   NonMaskableInt_IRQn         = -14,    /*!< 2 Non Maskable Interrupt                                          */
+  HardFault_IRQn              = -13,    /*!< 3 Hard Fault Interrupt                                            */
   MemoryManagement_IRQn       = -12,    /*!< 4 Cortex-M3 Memory Management Interrupt                           */
   BusFault_IRQn               = -11,    /*!< 5 Cortex-M3 Bus Fault Interrupt                                   */
   UsageFault_IRQn             = -10,    /*!< 6 Cortex-M3 Usage Fault Interrupt                                 */
@@ -394,7 +377,8 @@ typedef struct
   uint32_t      RESERVED0[2];
   __IO uint32_t MACRWUFFR;             /*   11 */
   __IO uint32_t MACPMTCSR;
-  uint32_t      RESERVED1[2];
+  uint32_t      RESERVED1;
+  __IO uint32_t MACDBGR;
   __IO uint32_t MACSR;                 /*   15 */
   __IO uint32_t MACIMR;
   __IO uint32_t MACA0HR;
@@ -579,7 +563,6 @@ typedef struct
   __IO uint32_t SR2;        /*!< I2C Status register 2,      Address offset: 0x18 */
   __IO uint32_t CCR;        /*!< I2C Clock control register, Address offset: 0x1C */
   __IO uint32_t TRISE;      /*!< I2C TRISE register,         Address offset: 0x20 */
-  __IO uint32_t FLTR;       /*!< I2C FLTR register,          Address offset: 0x24 */
 } I2C_TypeDef;
 
 /** 
@@ -792,6 +775,7 @@ typedef struct
   __IO uint32_t SR;   /*!< WWDG Status register,        Address offset: 0x08 */
 } WWDG_TypeDef;
 
+
 /** 
   * @brief Crypto Processor
   */
@@ -800,7 +784,7 @@ typedef struct
 {
   __IO uint32_t CR;     /*!< CRYP control register,                            Address offset: 0x00 */
   __IO uint32_t SR;     /*!< CRYP status register,                             Address offset: 0x04 */
-  __IO uint32_t DR;     /*!< CRYP data input register,                         Address offset: 0x08 */
+  __IO uint32_t DIN;    /*!< CRYP data input register,                                 Address offset: 0x08 */
   __IO uint32_t DOUT;   /*!< CRYP data output register,                        Address offset: 0x0C */
   __IO uint32_t DMACR;  /*!< CRYP DMA control register,                        Address offset: 0x10 */
   __IO uint32_t IMSCR;  /*!< CRYP interrupt mask set/clear register,           Address offset: 0x14 */
@@ -854,24 +838,24 @@ typedef struct
   */
 typedef struct
 {
-  __IO uint32_t GOTGCTL;      /*!<  USB_OTG Control and Status Register    000h*/
-  __IO uint32_t GOTGINT;      /*!<  USB_OTG Interrupt Register             004h*/
-  __IO uint32_t GAHBCFG;      /*!<  Core AHB Configuration Register    008h*/
-  __IO uint32_t GUSBCFG;      /*!<  Core USB Configuration Register    00Ch*/
-  __IO uint32_t GRSTCTL;      /*!<  Core Reset Register                010h*/
-  __IO uint32_t GINTSTS;      /*!<  Core Interrupt Register            014h*/
-  __IO uint32_t GINTMSK;      /*!<  Core Interrupt Mask Register       018h*/
-  __IO uint32_t GRXSTSR;      /*!<  Receive Sts Q Read Register        01Ch*/
-  __IO uint32_t GRXSTSP;      /*!<  Receive Sts Q Read & POP Register  020h*/
-  __IO uint32_t GRXFSIZ;      /* Receive FIFO Size Register         024h*/
-  __IO uint32_t DIEPTXF0_HNPTXFSIZ;   /*!<  EP0 / Non Periodic Tx FIFO Size Register 028h*/
-  __IO uint32_t HNPTXSTS;     /*!<  Non Periodic Tx FIFO/Queue Sts reg 02Ch*/
-  uint32_t Reserved30[2];     /* Reserved                           030h*/
-  __IO uint32_t GCCFG;        /* General Purpose IO Register        038h*/
-  __IO uint32_t CID;          /* User ID Register                   03Ch*/
-  uint32_t  Reserved40[48];   /* Reserved                      040h-0FFh*/
-  __IO uint32_t HPTXFSIZ; /* Host Periodic Tx FIFO Size Reg     100h*/
-  __IO uint32_t DIEPTXF[0x0F];/* dev Periodic Transmit FIFO */
+  __IO uint32_t GOTGCTL;              /*!<  USB_OTG Control and Status Register    Address offset : 0x00      */
+  __IO uint32_t GOTGINT;              /*!<  USB_OTG Interrupt Register             Address offset : 0x04      */
+  __IO uint32_t GAHBCFG;              /*!<  Core AHB Configuration Register        Address offset : 0x08      */
+  __IO uint32_t GUSBCFG;              /*!<  Core USB Configuration Register        Address offset : 0x0C      */
+  __IO uint32_t GRSTCTL;              /*!<  Core Reset Register                    Address offset : 0x10      */
+  __IO uint32_t GINTSTS;              /*!<  Core Interrupt Register                Address offset : 0x14      */
+  __IO uint32_t GINTMSK;              /*!<  Core Interrupt Mask Register           Address offset : 0x18      */
+  __IO uint32_t GRXSTSR;              /*!<  Receive Sts Q Read Register            Address offset : 0x1C      */
+  __IO uint32_t GRXSTSP;              /*!<  Receive Sts Q Read & POP Register      Address offset : 0x20      */
+  __IO uint32_t GRXFSIZ;              /* Receive FIFO Size Register                Address offset : 0x24      */
+  __IO uint32_t DIEPTXF0_HNPTXFSIZ;   /*!<  EP0 / Non Periodic Tx FIFO Size Register Address offset : 0x28    */
+  __IO uint32_t HNPTXSTS;             /*!<  Non Periodic Tx FIFO/Queue Sts reg     Address offset : 0x2C      */
+  uint32_t Reserved30[2];             /* Reserved                                  Address offset : 0x30      */
+  __IO uint32_t GCCFG;                /*!<  General Purpose IO Register            Address offset : 0x38      */
+  __IO uint32_t CID;                  /*!< User ID Register                          Address offset : 0x3C      */
+  uint32_t  Reserved40[48];           /*!< Reserved                                  Address offset : 0x40-0xFF */
+  __IO uint32_t HPTXFSIZ;             /*!< Host Periodic Tx FIFO Size Reg            Address offset : 0x100 */
+  __IO uint32_t DIEPTXF[0x0F];        /*!< dev Periodic Transmit FIFO */
 }
 USB_OTG_GlobalTypeDef;
 
@@ -882,26 +866,26 @@ USB_OTG_GlobalTypeDef;
   */
 typedef struct 
 {
-  __IO uint32_t DCFG;         /* dev Configuration Register   800h*/
-  __IO uint32_t DCTL;         /* dev Control Register         804h*/
-  __IO uint32_t DSTS;         /* dev Status Register (RO)     808h*/
-  uint32_t Reserved0C;           /* Reserved                     80Ch*/
-  __IO uint32_t DIEPMSK;   /* dev IN Endpoint Mask         810h*/
-  __IO uint32_t DOEPMSK;  /* dev OUT Endpoint Mask        814h*/
-  __IO uint32_t DAINT;     /* dev All Endpoints Itr Reg    818h*/
-  __IO uint32_t DAINTMSK; /* dev All Endpoints Itr Mask   81Ch*/
-  uint32_t  Reserved20;          /* Reserved                     820h*/
-  uint32_t Reserved9;       /* Reserved                     824h*/
-  __IO uint32_t DVBUSDIS;    /* dev VBUS discharge Register  828h*/
-  __IO uint32_t DVBUSPULSE;  /* dev VBUS Pulse Register      82Ch*/
-  __IO uint32_t DTHRCTL;     /* dev thr                      830h*/
-  __IO uint32_t DIEPEMPMSK; /* dev empty msk             834h*/
-  __IO uint32_t DEACHINT;    /* dedicated EP interrupt       838h*/
-  __IO uint32_t DEACHMSK;    /* dedicated EP msk             83Ch*/  
-  uint32_t Reserved40;      /* dedicated EP mask           840h*/
-  __IO uint32_t DINEP1MSK;  /* dedicated EP mask           844h*/
-  uint32_t  Reserved44[15];      /* Reserved                 844-87Ch*/
-  __IO uint32_t DOUTEP1MSK; /* dedicated EP msk            884h*/   
+  __IO uint32_t DCFG;         /*!< dev Configuration Register   Address offset : 0x800 */
+  __IO uint32_t DCTL;         /*!< dev Control Register         Address offset : 0x804 */
+  __IO uint32_t DSTS;         /*!< dev Status Register (RO)     Address offset : 0x808 */
+  uint32_t Reserved0C;        /*!< Reserved                     Address offset : 0x80C */
+  __IO uint32_t DIEPMSK;      /*!< dev IN Endpoint Mask        Address offset : 0x810 */
+  __IO uint32_t DOEPMSK;      /*!< dev OUT Endpoint Mask        Address offset : 0x814 */
+  __IO uint32_t DAINT;        /*!< dev All Endpoints Itr Reg    Address offset : 0x818 */
+  __IO uint32_t DAINTMSK;     /*!< dev All Endpoints Itr Mask   Address offset : 0x81C */
+  uint32_t  Reserved20;       /*!< Reserved                     Address offset : 0x820 */
+  uint32_t Reserved9;         /*!< Reserved                     Address offset : 0x824 */
+  __IO uint32_t DVBUSDIS;     /*!< dev VBUS discharge Register  Address offset : 0x828 */
+  __IO uint32_t DVBUSPULSE;   /*!< dev VBUS Pulse Register      Address offset : 0x82C */
+  __IO uint32_t DTHRCTL;      /*!< dev thr                      Address offset : 0x830 */
+  __IO uint32_t DIEPEMPMSK;   /*!< dev empty msk                Address offset : 0x834 */
+  __IO uint32_t DEACHINT;     /*!< dedicated EP interrupt       Address offset : 0x838 */
+  __IO uint32_t DEACHMSK;     /*!< dedicated EP msk             Address offset : 0x83C */  
+  uint32_t Reserved40;        /*!< dedicated EP mask            Address offset : 0x840 */
+  __IO uint32_t DINEP1MSK;    /*!< dedicated EP mask            Address offset : 0x844 */
+  uint32_t  Reserved44[15];   /*!< Reserved                     Address offset : 0x844-0x87C */
+  __IO uint32_t DOUTEP1MSK;   /*!< dedicated EP msk             Address offset : 0x884 */   
 }
 USB_OTG_DeviceTypeDef;
 
@@ -911,14 +895,14 @@ USB_OTG_DeviceTypeDef;
   */
 typedef struct 
 {
-  __IO uint32_t DIEPCTL; /* dev IN Endpoint Control Reg 900h + (ep_num * 20h) + 00h*/
-  uint32_t Reserved04;             /* Reserved                       900h + (ep_num * 20h) + 04h*/
-  __IO uint32_t DIEPINT; /* dev IN Endpoint Itr Reg     900h + (ep_num * 20h) + 08h*/
-  uint32_t Reserved0C;             /* Reserved                       900h + (ep_num * 20h) + 0Ch*/
-  __IO uint32_t DIEPTSIZ; /* IN Endpoint Txfer Size   900h + (ep_num * 20h) + 10h*/
-  __IO uint32_t DIEPDMA; /* IN Endpoint DMA Address Reg    900h + (ep_num * 20h) + 14h*/
-  __IO uint32_t DTXFSTS;/*IN Endpoint Tx FIFO Status Reg 900h + (ep_num * 20h) + 18h*/
-  uint32_t Reserved18;             /* Reserved  900h+(ep_num*20h)+1Ch-900h+ (ep_num * 20h) + 1Ch*/
+  __IO uint32_t DIEPCTL;        /* dev IN Endpoint Control Reg 900h + (ep_num * 20h) + 00h     */
+  uint32_t Reserved04;          /* Reserved                       900h + (ep_num * 20h) + 04h  */
+  __IO uint32_t DIEPINT;        /* dev IN Endpoint Itr Reg     900h + (ep_num * 20h) + 08h     */
+  uint32_t Reserved0C;          /* Reserved                       900h + (ep_num * 20h) + 0Ch  */
+  __IO uint32_t DIEPTSIZ;       /* IN Endpoint Txfer Size   900h + (ep_num * 20h) + 10h        */
+  __IO uint32_t DIEPDMA;        /* IN Endpoint DMA Address Reg    900h + (ep_num * 20h) + 14h  */
+  __IO uint32_t DTXFSTS;        /* IN Endpoint Tx FIFO Status Reg 900h + (ep_num * 20h) + 18h   */
+  uint32_t Reserved18;          /* Reserved  900h+(ep_num*20h)+1Ch-900h+ (ep_num * 20h) + 1Ch */
 }
 USB_OTG_INEndpointTypeDef;
 
@@ -945,12 +929,12 @@ USB_OTG_OUTEndpointTypeDef;
 typedef struct 
 {
   __IO uint32_t HCFG;             /* Host Configuration Register    400h*/
-  __IO uint32_t HFIR;      /* Host Frame Interval Register   404h*/
-  __IO uint32_t HFNUM;         /* Host Frame Nbr/Frame Remaining 408h*/
-  uint32_t Reserved40C;                   /* Reserved                       40Ch*/
-  __IO uint32_t HPTXSTS;   /* Host Periodic Tx FIFO/ Queue Status 410h*/
-  __IO uint32_t HAINT;   /* Host All Channels Interrupt Register 414h*/
-  __IO uint32_t HAINTMSK;   /* Host All Channels Interrupt Mask 418h*/
+  __IO uint32_t HFIR;             /* Host Frame Interval Register   404h*/
+  __IO uint32_t HFNUM;            /* Host Frame Nbr/Frame Remaining 408h*/
+  uint32_t Reserved40C;           /* Reserved                       40Ch*/
+  __IO uint32_t HPTXSTS;          /* Host Periodic Tx FIFO/ Queue Status 410h*/
+  __IO uint32_t HAINT;            /* Host All Channels Interrupt Register 414h*/
+  __IO uint32_t HAINTMSK;         /* Host All Channels Interrupt Mask 418h*/
 }
 USB_OTG_HostTypeDef;
 
@@ -974,17 +958,19 @@ USB_OTG_HostChannelTypeDef;
 /** 
   * @brief Peripheral_memory_map
   */
-#define FLASH_BASE            ((uint32_t)0x08000000) /*!< FLASH(up to 1 MB) base address in the alias region                         */
-#define SRAM1_BASE            ((uint32_t)0x20000000) /*!< SRAM1(112 KB) base address in the alias region                             */
-#define SRAM2_BASE            ((uint32_t)0x2001C000) /*!< SRAM2(16 KB) base address in the alias region                              */
-#define PERIPH_BASE           ((uint32_t)0x40000000) /*!< Peripheral base address in the alias region                                */
-#define BKPSRAM_BASE          ((uint32_t)0x40024000) /*!< Backup SRAM(4 KB) base address in the alias region                         */
-#define FSMC_R_BASE           ((uint32_t)0xA0000000) /*!< FSMC registers base address                                                */
-#define SRAM1_BB_BASE         ((uint32_t)0x22000000) /*!< SRAM1(112 KB) base address in the bit-band region                          */
-#define SRAM2_BB_BASE         ((uint32_t)0x22380000) /*!< SRAM2(16 KB) base address in the bit-band region                           */
-#define PERIPH_BB_BASE        ((uint32_t)0x42000000) /*!< Peripheral base address in the bit-band region                             */
-#define BKPSRAM_BB_BASE       ((uint32_t)0x42480000) /*!< Backup SRAM(4 KB) base address in the bit-band region                      */
-#define FLASH_END             ((uint32_t)0x080FFFFF) /*!< FLASH end address                                                          */
+#define FLASH_BASE            0x08000000UL /*!< FLASH(up to 1 MB) base address in the alias region                         */
+#define SRAM1_BASE            0x20000000UL /*!< SRAM1(112 KB) base address in the alias region                             */
+#define SRAM2_BASE            0x2001C000UL /*!< SRAM2(16 KB) base address in the alias region                              */
+#define PERIPH_BASE           0x40000000UL /*!< Peripheral base address in the alias region                                */
+#define BKPSRAM_BASE          0x40024000UL /*!< Backup SRAM(4 KB) base address in the alias region                         */
+#define FSMC_R_BASE           0xA0000000UL /*!< FSMC registers base address                                                */
+#define SRAM1_BB_BASE         0x22000000UL /*!< SRAM1(112 KB) base address in the bit-band region                          */
+#define SRAM2_BB_BASE         0x22380000UL /*!< SRAM2(16 KB) base address in the bit-band region                           */
+#define PERIPH_BB_BASE        0x42000000UL /*!< Peripheral base address in the bit-band region                             */
+#define BKPSRAM_BB_BASE       0x42480000UL /*!< Backup SRAM(4 KB) base address in the bit-band region                      */
+#define FLASH_END             0x080FFFFFUL /*!< FLASH end address                                                          */
+#define FLASH_OTP_BASE        0x1FFF7800UL /*!< Base address of : (up to 528 Bytes) embedded FLASH OTP Area                */
+#define FLASH_OTP_END         0x1FFF7A0FUL /*!< End address of : (up to 528 Bytes) embedded FLASH OTP Area                 */
 
 /* Legacy defines */
 #define SRAM_BASE             SRAM1_BASE
@@ -993,123 +979,129 @@ USB_OTG_HostChannelTypeDef;
 
 /*!< Peripheral memory map */
 #define APB1PERIPH_BASE       PERIPH_BASE
-#define APB2PERIPH_BASE       (PERIPH_BASE + 0x00010000)
-#define AHB1PERIPH_BASE       (PERIPH_BASE + 0x00020000)
-#define AHB2PERIPH_BASE       (PERIPH_BASE + 0x10000000)
+#define APB2PERIPH_BASE       (PERIPH_BASE + 0x00010000UL)
+#define AHB1PERIPH_BASE       (PERIPH_BASE + 0x00020000UL)
+#define AHB2PERIPH_BASE       (PERIPH_BASE + 0x10000000UL)
 
 /*!< APB1 peripherals */
-#define TIM2_BASE             (APB1PERIPH_BASE + 0x0000)
-#define TIM3_BASE             (APB1PERIPH_BASE + 0x0400)
-#define TIM4_BASE             (APB1PERIPH_BASE + 0x0800)
-#define TIM5_BASE             (APB1PERIPH_BASE + 0x0C00)
-#define TIM6_BASE             (APB1PERIPH_BASE + 0x1000)
-#define TIM7_BASE             (APB1PERIPH_BASE + 0x1400)
-#define TIM12_BASE            (APB1PERIPH_BASE + 0x1800)
-#define TIM13_BASE            (APB1PERIPH_BASE + 0x1C00)
-#define TIM14_BASE            (APB1PERIPH_BASE + 0x2000)
-#define RTC_BASE              (APB1PERIPH_BASE + 0x2800)
-#define WWDG_BASE             (APB1PERIPH_BASE + 0x2C00)
-#define IWDG_BASE             (APB1PERIPH_BASE + 0x3000)
-#define SPI2_BASE             (APB1PERIPH_BASE + 0x3800)
-#define SPI3_BASE             (APB1PERIPH_BASE + 0x3C00)
-#define USART2_BASE           (APB1PERIPH_BASE + 0x4400)
-#define USART3_BASE           (APB1PERIPH_BASE + 0x4800)
-#define UART4_BASE            (APB1PERIPH_BASE + 0x4C00)
-#define UART5_BASE            (APB1PERIPH_BASE + 0x5000)
-#define I2C1_BASE             (APB1PERIPH_BASE + 0x5400)
-#define I2C2_BASE             (APB1PERIPH_BASE + 0x5800)
-#define I2C3_BASE             (APB1PERIPH_BASE + 0x5C00)
-#define CAN1_BASE             (APB1PERIPH_BASE + 0x6400)
-#define CAN2_BASE             (APB1PERIPH_BASE + 0x6800)
-#define PWR_BASE              (APB1PERIPH_BASE + 0x7000)
-#define DAC_BASE              (APB1PERIPH_BASE + 0x7400)
+#define TIM2_BASE             (APB1PERIPH_BASE + 0x0000UL)
+#define TIM3_BASE             (APB1PERIPH_BASE + 0x0400UL)
+#define TIM4_BASE             (APB1PERIPH_BASE + 0x0800UL)
+#define TIM5_BASE             (APB1PERIPH_BASE + 0x0C00UL)
+#define TIM6_BASE             (APB1PERIPH_BASE + 0x1000UL)
+#define TIM7_BASE             (APB1PERIPH_BASE + 0x1400UL)
+#define TIM12_BASE            (APB1PERIPH_BASE + 0x1800UL)
+#define TIM13_BASE            (APB1PERIPH_BASE + 0x1C00UL)
+#define TIM14_BASE            (APB1PERIPH_BASE + 0x2000UL)
+#define RTC_BASE              (APB1PERIPH_BASE + 0x2800UL)
+#define WWDG_BASE             (APB1PERIPH_BASE + 0x2C00UL)
+#define IWDG_BASE             (APB1PERIPH_BASE + 0x3000UL)
+#define SPI2_BASE             (APB1PERIPH_BASE + 0x3800UL)
+#define SPI3_BASE             (APB1PERIPH_BASE + 0x3C00UL)
+#define USART2_BASE           (APB1PERIPH_BASE + 0x4400UL)
+#define USART3_BASE           (APB1PERIPH_BASE + 0x4800UL)
+#define UART4_BASE            (APB1PERIPH_BASE + 0x4C00UL)
+#define UART5_BASE            (APB1PERIPH_BASE + 0x5000UL)
+#define I2C1_BASE             (APB1PERIPH_BASE + 0x5400UL)
+#define I2C2_BASE             (APB1PERIPH_BASE + 0x5800UL)
+#define I2C3_BASE             (APB1PERIPH_BASE + 0x5C00UL)
+#define CAN1_BASE             (APB1PERIPH_BASE + 0x6400UL)
+#define CAN2_BASE             (APB1PERIPH_BASE + 0x6800UL)
+#define PWR_BASE              (APB1PERIPH_BASE + 0x7000UL)
+#define DAC_BASE              (APB1PERIPH_BASE + 0x7400UL)
 
 /*!< APB2 peripherals */
-#define TIM1_BASE             (APB2PERIPH_BASE + 0x0000)
-#define TIM8_BASE             (APB2PERIPH_BASE + 0x0400)
-#define USART1_BASE           (APB2PERIPH_BASE + 0x1000)
-#define USART6_BASE           (APB2PERIPH_BASE + 0x1400)
-#define ADC1_BASE             (APB2PERIPH_BASE + 0x2000)
-#define ADC2_BASE             (APB2PERIPH_BASE + 0x2100)
-#define ADC3_BASE             (APB2PERIPH_BASE + 0x2200)
-#define ADC_BASE              (APB2PERIPH_BASE + 0x2300)
-#define SDIO_BASE             (APB2PERIPH_BASE + 0x2C00)
-#define SPI1_BASE             (APB2PERIPH_BASE + 0x3000)
-#define SYSCFG_BASE           (APB2PERIPH_BASE + 0x3800)
-#define EXTI_BASE             (APB2PERIPH_BASE + 0x3C00)
-#define TIM9_BASE             (APB2PERIPH_BASE + 0x4000)
-#define TIM10_BASE            (APB2PERIPH_BASE + 0x4400)
-#define TIM11_BASE            (APB2PERIPH_BASE + 0x4800)
+#define TIM1_BASE             (APB2PERIPH_BASE + 0x0000UL)
+#define TIM8_BASE             (APB2PERIPH_BASE + 0x0400UL)
+#define USART1_BASE           (APB2PERIPH_BASE + 0x1000UL)
+#define USART6_BASE           (APB2PERIPH_BASE + 0x1400UL)
+#define ADC1_BASE             (APB2PERIPH_BASE + 0x2000UL)
+#define ADC2_BASE             (APB2PERIPH_BASE + 0x2100UL)
+#define ADC3_BASE             (APB2PERIPH_BASE + 0x2200UL)
+#define ADC123_COMMON_BASE    (APB2PERIPH_BASE + 0x2300UL)
+/* Legacy define */
+#define ADC_BASE               ADC123_COMMON_BASE
+
+#define SDIO_BASE             (APB2PERIPH_BASE + 0x2C00UL)
+#define SPI1_BASE             (APB2PERIPH_BASE + 0x3000UL)
+#define SYSCFG_BASE           (APB2PERIPH_BASE + 0x3800UL)
+#define EXTI_BASE             (APB2PERIPH_BASE + 0x3C00UL)
+#define TIM9_BASE             (APB2PERIPH_BASE + 0x4000UL)
+#define TIM10_BASE            (APB2PERIPH_BASE + 0x4400UL)
+#define TIM11_BASE            (APB2PERIPH_BASE + 0x4800UL)
 
 /*!< AHB1 peripherals */
-#define GPIOA_BASE            (AHB1PERIPH_BASE + 0x0000)
-#define GPIOB_BASE            (AHB1PERIPH_BASE + 0x0400)
-#define GPIOC_BASE            (AHB1PERIPH_BASE + 0x0800)
-#define GPIOD_BASE            (AHB1PERIPH_BASE + 0x0C00)
-#define GPIOE_BASE            (AHB1PERIPH_BASE + 0x1000)
-#define GPIOF_BASE            (AHB1PERIPH_BASE + 0x1400)
-#define GPIOG_BASE            (AHB1PERIPH_BASE + 0x1800)
-#define GPIOH_BASE            (AHB1PERIPH_BASE + 0x1C00)
-#define GPIOI_BASE            (AHB1PERIPH_BASE + 0x2000)
-#define CRC_BASE              (AHB1PERIPH_BASE + 0x3000)
-#define RCC_BASE              (AHB1PERIPH_BASE + 0x3800)
-#define FLASH_R_BASE          (AHB1PERIPH_BASE + 0x3C00)
-#define DMA1_BASE             (AHB1PERIPH_BASE + 0x6000)
-#define DMA1_Stream0_BASE     (DMA1_BASE + 0x010)
-#define DMA1_Stream1_BASE     (DMA1_BASE + 0x028)
-#define DMA1_Stream2_BASE     (DMA1_BASE + 0x040)
-#define DMA1_Stream3_BASE     (DMA1_BASE + 0x058)
-#define DMA1_Stream4_BASE     (DMA1_BASE + 0x070)
-#define DMA1_Stream5_BASE     (DMA1_BASE + 0x088)
-#define DMA1_Stream6_BASE     (DMA1_BASE + 0x0A0)
-#define DMA1_Stream7_BASE     (DMA1_BASE + 0x0B8)
-#define DMA2_BASE             (AHB1PERIPH_BASE + 0x6400)
-#define DMA2_Stream0_BASE     (DMA2_BASE + 0x010)
-#define DMA2_Stream1_BASE     (DMA2_BASE + 0x028)
-#define DMA2_Stream2_BASE     (DMA2_BASE + 0x040)
-#define DMA2_Stream3_BASE     (DMA2_BASE + 0x058)
-#define DMA2_Stream4_BASE     (DMA2_BASE + 0x070)
-#define DMA2_Stream5_BASE     (DMA2_BASE + 0x088)
-#define DMA2_Stream6_BASE     (DMA2_BASE + 0x0A0)
-#define DMA2_Stream7_BASE     (DMA2_BASE + 0x0B8)
-#define ETH_BASE              (AHB1PERIPH_BASE + 0x8000)
+#define GPIOA_BASE            (AHB1PERIPH_BASE + 0x0000UL)
+#define GPIOB_BASE            (AHB1PERIPH_BASE + 0x0400UL)
+#define GPIOC_BASE            (AHB1PERIPH_BASE + 0x0800UL)
+#define GPIOD_BASE            (AHB1PERIPH_BASE + 0x0C00UL)
+#define GPIOE_BASE            (AHB1PERIPH_BASE + 0x1000UL)
+#define GPIOF_BASE            (AHB1PERIPH_BASE + 0x1400UL)
+#define GPIOG_BASE            (AHB1PERIPH_BASE + 0x1800UL)
+#define GPIOH_BASE            (AHB1PERIPH_BASE + 0x1C00UL)
+#define GPIOI_BASE            (AHB1PERIPH_BASE + 0x2000UL)
+#define CRC_BASE              (AHB1PERIPH_BASE + 0x3000UL)
+#define RCC_BASE              (AHB1PERIPH_BASE + 0x3800UL)
+#define FLASH_R_BASE          (AHB1PERIPH_BASE + 0x3C00UL)
+#define DMA1_BASE             (AHB1PERIPH_BASE + 0x6000UL)
+#define DMA1_Stream0_BASE     (DMA1_BASE + 0x010UL)
+#define DMA1_Stream1_BASE     (DMA1_BASE + 0x028UL)
+#define DMA1_Stream2_BASE     (DMA1_BASE + 0x040UL)
+#define DMA1_Stream3_BASE     (DMA1_BASE + 0x058UL)
+#define DMA1_Stream4_BASE     (DMA1_BASE + 0x070UL)
+#define DMA1_Stream5_BASE     (DMA1_BASE + 0x088UL)
+#define DMA1_Stream6_BASE     (DMA1_BASE + 0x0A0UL)
+#define DMA1_Stream7_BASE     (DMA1_BASE + 0x0B8UL)
+#define DMA2_BASE             (AHB1PERIPH_BASE + 0x6400UL)
+#define DMA2_Stream0_BASE     (DMA2_BASE + 0x010UL)
+#define DMA2_Stream1_BASE     (DMA2_BASE + 0x028UL)
+#define DMA2_Stream2_BASE     (DMA2_BASE + 0x040UL)
+#define DMA2_Stream3_BASE     (DMA2_BASE + 0x058UL)
+#define DMA2_Stream4_BASE     (DMA2_BASE + 0x070UL)
+#define DMA2_Stream5_BASE     (DMA2_BASE + 0x088UL)
+#define DMA2_Stream6_BASE     (DMA2_BASE + 0x0A0UL)
+#define DMA2_Stream7_BASE     (DMA2_BASE + 0x0B8UL)
+#define ETH_BASE              (AHB1PERIPH_BASE + 0x8000UL)
 #define ETH_MAC_BASE          (ETH_BASE)
-#define ETH_MMC_BASE          (ETH_BASE + 0x0100)
-#define ETH_PTP_BASE          (ETH_BASE + 0x0700)
-#define ETH_DMA_BASE          (ETH_BASE + 0x1000)
+#define ETH_MMC_BASE          (ETH_BASE + 0x0100UL)
+#define ETH_PTP_BASE          (ETH_BASE + 0x0700UL)
+#define ETH_DMA_BASE          (ETH_BASE + 0x1000UL)
 
 /*!< AHB2 peripherals */
-#define DCMI_BASE             (AHB2PERIPH_BASE + 0x50000)
-#define CRYP_BASE             (AHB2PERIPH_BASE + 0x60000)
-#define HASH_BASE             (AHB2PERIPH_BASE + 0x60400)
-#define HASH_DIGEST_BASE      (AHB2PERIPH_BASE + 0x60710)
-#define RNG_BASE              (AHB2PERIPH_BASE + 0x60800)
+#define DCMI_BASE             (AHB2PERIPH_BASE + 0x50000UL)
+#define CRYP_BASE             (AHB2PERIPH_BASE + 0x60000UL)
+#define HASH_BASE             (AHB2PERIPH_BASE + 0x60400UL)
+#define RNG_BASE              (AHB2PERIPH_BASE + 0x60800UL)
 
 /*!< FSMC Bankx registers base address */
-#define FSMC_Bank1_R_BASE     (FSMC_R_BASE + 0x0000)
-#define FSMC_Bank1E_R_BASE    (FSMC_R_BASE + 0x0104)
-#define FSMC_Bank2_3_R_BASE   (FSMC_R_BASE + 0x0060)
-#define FSMC_Bank4_R_BASE     (FSMC_R_BASE + 0x00A0)
+#define FSMC_Bank1_R_BASE     (FSMC_R_BASE + 0x0000UL)
+#define FSMC_Bank1E_R_BASE    (FSMC_R_BASE + 0x0104UL)
+#define FSMC_Bank2_3_R_BASE   (FSMC_R_BASE + 0x0060UL)
+#define FSMC_Bank4_R_BASE     (FSMC_R_BASE + 0x00A0UL)
 
 /* Debug MCU registers base address */
-#define DBGMCU_BASE           ((uint32_t )0xE0042000)
+#define DBGMCU_BASE           0xE0042000UL
 
 /*!< USB registers base address */
-#define USB_OTG_HS_PERIPH_BASE               ((uint32_t )0x40040000)
-#define USB_OTG_FS_PERIPH_BASE               ((uint32_t )0x50000000)
-
-#define USB_OTG_GLOBAL_BASE                  ((uint32_t )0x000)
-#define USB_OTG_DEVICE_BASE                  ((uint32_t )0x800)
-#define USB_OTG_IN_ENDPOINT_BASE             ((uint32_t )0x900)
-#define USB_OTG_OUT_ENDPOINT_BASE            ((uint32_t )0xB00)
-#define USB_OTG_EP_REG_SIZE                  ((uint32_t )0x20)
-#define USB_OTG_HOST_BASE                    ((uint32_t )0x400)
-#define USB_OTG_HOST_PORT_BASE               ((uint32_t )0x440)
-#define USB_OTG_HOST_CHANNEL_BASE            ((uint32_t )0x500)
-#define USB_OTG_HOST_CHANNEL_SIZE            ((uint32_t )0x20)
-#define USB_OTG_PCGCCTL_BASE                 ((uint32_t )0xE00)
-#define USB_OTG_FIFO_BASE                    ((uint32_t )0x1000)
-#define USB_OTG_FIFO_SIZE                    ((uint32_t )0x1000)
+#define USB_OTG_HS_PERIPH_BASE               0x40040000UL
+#define USB_OTG_FS_PERIPH_BASE               0x50000000UL
+
+#define USB_OTG_GLOBAL_BASE                  0x000UL
+#define USB_OTG_DEVICE_BASE                  0x800UL
+#define USB_OTG_IN_ENDPOINT_BASE             0x900UL
+#define USB_OTG_OUT_ENDPOINT_BASE            0xB00UL
+#define USB_OTG_EP_REG_SIZE                  0x20UL
+#define USB_OTG_HOST_BASE                    0x400UL
+#define USB_OTG_HOST_PORT_BASE               0x440UL
+#define USB_OTG_HOST_CHANNEL_BASE            0x500UL
+#define USB_OTG_HOST_CHANNEL_SIZE            0x20UL
+#define USB_OTG_PCGCCTL_BASE                 0xE00UL
+#define USB_OTG_FIFO_BASE                    0x1000UL
+#define USB_OTG_FIFO_SIZE                    0x1000UL
+
+/*******************  Device electronic signature  ***************/
+#define UID_BASE             0x1FFF7A10UL        /*!< Unique device ID register base address */
+#define FLASHSIZE_BASE       0x1FFF7A22UL        /*!< FLASH Size register base address */
 
 /**
   * @}
@@ -1142,15 +1134,18 @@ USB_OTG_HostChannelTypeDef;
 #define CAN1                ((CAN_TypeDef *) CAN1_BASE)
 #define CAN2                ((CAN_TypeDef *) CAN2_BASE)
 #define PWR                 ((PWR_TypeDef *) PWR_BASE)
-#define DAC                 ((DAC_TypeDef *) DAC_BASE)
+#define DAC1                ((DAC_TypeDef *) DAC_BASE)
+#define DAC                 ((DAC_TypeDef *) DAC_BASE) /* Kept for legacy purpose */
 #define TIM1                ((TIM_TypeDef *) TIM1_BASE)
 #define TIM8                ((TIM_TypeDef *) TIM8_BASE)
 #define USART1              ((USART_TypeDef *) USART1_BASE)
 #define USART6              ((USART_TypeDef *) USART6_BASE)
-#define ADC                 ((ADC_Common_TypeDef *) ADC_BASE)
 #define ADC1                ((ADC_TypeDef *) ADC1_BASE)
 #define ADC2                ((ADC_TypeDef *) ADC2_BASE)
 #define ADC3                ((ADC_TypeDef *) ADC3_BASE)
+#define ADC123_COMMON       ((ADC_Common_TypeDef *) ADC123_COMMON_BASE)
+/* Legacy define */
+#define ADC                  ADC123_COMMON
 #define SDIO                ((SDIO_TypeDef *) SDIO_BASE)
 #define SPI1                ((SPI_TypeDef *) SPI1_BASE) 
 #define SYSCFG              ((SYSCFG_TypeDef *) SYSCFG_BASE)
@@ -1192,7 +1187,6 @@ USB_OTG_HostChannelTypeDef;
 #define DCMI                ((DCMI_TypeDef *) DCMI_BASE)
 #define CRYP                ((CRYP_TypeDef *) CRYP_BASE)
 #define HASH                ((HASH_TypeDef *) HASH_BASE)
-#define HASH_DIGEST         ((HASH_DIGEST_TypeDef *) HASH_DIGEST_BASE)
 #define RNG                 ((RNG_TypeDef *) RNG_BASE)
 #define FSMC_Bank1          ((FSMC_Bank1_TypeDef *) FSMC_Bank1_R_BASE)
 #define FSMC_Bank1E         ((FSMC_Bank1E_TypeDef *) FSMC_Bank1E_R_BASE)
@@ -1226,360 +1220,593 @@ USB_OTG_HostChannelTypeDef;
 /*                                                                            */
 /******************************************************************************/
 /********************  Bit definition for ADC_SR register  ********************/
-#define  ADC_SR_AWD                          ((uint32_t)0x00000001)       /*!
© COPYRIGHT(c) 2015 STMicroelectronics

+  * 
© Copyright (c) 2017 STMicroelectronics.
+  * All rights reserved.

   *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
-  *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
   ******************************************************************************
   */
@@ -99,17 +81,17 @@
 #endif /* USE_HAL_DRIVER */
 
 /**
-  * @brief CMSIS Device version number V2.1.0
-  */
-#define __STM32F2xx_CMSIS_DEVICE_VERSION_MAIN   (0x02) /*!< [31:24] main version */
-#define __STM32F2xx_CMSIS_DEVICE_VERSION_SUB1   (0x01) /*!< [23:16] sub1 version */
-#define __STM32F2xx_CMSIS_DEVICE_VERSION_SUB2   (0x00) /*!< [15:8]  sub2 version */
-#define __STM32F2xx_CMSIS_DEVICE_VERSION_RC     (0x00) /*!< [7:0]  release candidate */
-#define __STM32F2xx_CMSIS_DEVICE_VERSION        ((__CMSIS_DEVICE_VERSION_MAIN     << 24)\
-                                      |(__CMSIS_DEVICE_HAL_VERSION_SUB1 << 16)\
-                                      |(__CMSIS_DEVICE_HAL_VERSION_SUB2 << 8 )\
-                                      |(__CMSIS_DEVICE_HAL_VERSION_RC))
-                                             
+  * @brief CMSIS Device version number V2.2.2
+  */
+#define __STM32F2xx_CMSIS_VERSION_MAIN   (0x02U) /*!< [31:24] main version */
+#define __STM32F2xx_CMSIS_VERSION_SUB1   (0x02U) /*!< [23:16] sub1 version */
+#define __STM32F2xx_CMSIS_VERSION_SUB2   (0x02U) /*!< [15:8]  sub2 version */
+#define __STM32F2xx_CMSIS_VERSION_RC     (0x00U) /*!< [7:0]  release candidate */
+#define __STM32F2xx_CMSIS_VERSION        ((__STM32F2xx_CMSIS_VERSION_MAIN << 24)\
+                                         |(__STM32F2xx_CMSIS_VERSION_SUB1 << 16)\
+                                         |(__STM32F2xx_CMSIS_VERSION_SUB2 << 8 )\
+                                         |(__STM32F2xx_CMSIS_VERSION))
+
 /**
   * @}
   */
@@ -139,21 +121,21 @@
   */ 
 typedef enum 
 {
-  RESET = 0, 
+  RESET = 0U, 
   SET = !RESET
 } FlagStatus, ITStatus;
 
 typedef enum 
 {
-  DISABLE = 0, 
+  DISABLE = 0U, 
   ENABLE = !DISABLE
 } FunctionalState;
 #define IS_FUNCTIONAL_STATE(STATE) (((STATE) == DISABLE) || ((STATE) == ENABLE))
 
 typedef enum 
 {
-  ERROR = 0, 
-  SUCCESS = !ERROR
+  SUCCESS = 0U,
+  ERROR = !SUCCESS
 } ErrorStatus;
 
 /**
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Include/system_stm32f2xx.h b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Include/system_stm32f2xx.h
index 16f8e86e..ac0d6518 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Include/system_stm32f2xx.h
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Include/system_stm32f2xx.h
@@ -2,38 +2,20 @@
   ******************************************************************************
   * @file    system_stm32f2xx.h
   * @author  MCD Application Team
-  * @version V2.1.0
-  * @date    09-October-2015
-  * @brief   CMSIS Cortex-M3 Device System Source File for STM32F2xx devices.       
-******************************************************************************
+  * @brief   CMSIS Cortex-M3 Device System Source File for STM32F2xx devices.
+  ****************************************************************************
   * @attention
   *
-  * 
© COPYRIGHT(c) 2015 STMicroelectronics

+  * 
© Copyright (c) 2017 STMicroelectronics.
+  * All rights reserved.

   *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-  *
-  ******************************************************************************  
-  */ 
+  ******************************************************************************
+  */
 
 /** @addtogroup CMSIS
   * @{
@@ -75,6 +57,8 @@
   */
 extern uint32_t SystemCoreClock;          /*!< System Clock Frequency (Core Clock) */
 
+extern const uint8_t  AHBPrescTable[16];    /*!< AHB prescalers table values */
+extern const uint8_t  APBPrescTable[8];     /*!< APB prescalers table values */
 
 /**
   * @}
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f205xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f205xx.s
index b17214ed..418feaf7 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f205xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f205xx.s
@@ -1,8 +1,6 @@
-;******************** (C) COPYRIGHT 2015 STMicroelectronics ********************
+;******************** (C) COPYRIGHT 2017 STMicroelectronics ********************
 ;* File Name          : startup_stm32f205xx.s
 ;* Author             : MCD Application Team
-;* Version            : V2.1.0
-;* Date               : 09-October-2015
 ;* Description        : STM32F205xx devices vector table for MDK-ARM toolchain. 
 ;*                      This module performs:
 ;*                      - Set the initial SP
@@ -13,31 +11,18 @@
 ;*                      After Reset the CortexM3 processor is in Thread mode,
 ;*                      priority is Privileged, and the Stack is set to Main.
 ;* <<< Use Configuration Wizard in Context Menu >>>   
-;*******************************************************************************
-; 
-;* Redistribution and use in source and binary forms, with or without modification,
-;* are permitted provided that the following conditions are met:
-;*   1. Redistributions of source code must retain the above copyright notice,
-;*      this list of conditions and the following disclaimer.
-;*   2. Redistributions in binary form must reproduce the above copyright notice,
-;*      this list of conditions and the following disclaimer in the documentation
-;*      and/or other materials provided with the distribution.
-;*   3. Neither the name of STMicroelectronics nor the names of its contributors
-;*      may be used to endorse or promote products derived from this software
-;*      without specific prior written permission.
+;******************************************************************************
+;* @attention
 ;*
-;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-;* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-;* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-;* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-;* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-;* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-;* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-;* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-;* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-; 
-;*******************************************************************************
+;* Copyright (c) 2017 STMicroelectronics.
+;* All rights reserved.
+;*
+;* This software component is licensed by ST under BSD 3-Clause license,
+;* the "License"; You may not use this file except in compliance with the
+;* License. You may obtain a copy of the License at:
+;*                        opensource.org/licenses/BSD-3-Clause
+;*
+;******************************************************************************
 
 ; Amount of memory (in bytes) allocated for Stack
 ; Tailor this value to your application needs
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f207xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f207xx.s
index 1dd59f9e..82e8ba04 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f207xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f207xx.s
@@ -1,8 +1,6 @@
-******************* (C) COPYRIGHT 2015 STMicroelectronics ********************
+******************* (C) COPYRIGHT 2017 STMicroelectronics ********************
 ;* File Name          : startup_stm32f207xx.s
 ;* Author             : MCD Application Team
-;* Version            : V2.1.0
-;* Date               : 09-October-2015
 ;* Description        : STM32F207xx devices vector table for MDK-ARM toolchain. 
 ;*                      This module performs:
 ;*                      - Set the initial SP
@@ -13,31 +11,18 @@
 ;*                      After Reset the CortexM3 processor is in Thread mode,
 ;*                      priority is Privileged, and the Stack is set to Main.
 ;* <<< Use Configuration Wizard in Context Menu >>>   
-;*******************************************************************************
-; 
-;* Redistribution and use in source and binary forms, with or without modification,
-;* are permitted provided that the following conditions are met:
-;*   1. Redistributions of source code must retain the above copyright notice,
-;*      this list of conditions and the following disclaimer.
-;*   2. Redistributions in binary form must reproduce the above copyright notice,
-;*      this list of conditions and the following disclaimer in the documentation
-;*      and/or other materials provided with the distribution.
-;*   3. Neither the name of STMicroelectronics nor the names of its contributors
-;*      may be used to endorse or promote products derived from this software
-;*      without specific prior written permission.
+;******************************************************************************
+;* @attention
 ;*
-;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-;* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-;* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-;* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-;* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-;* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-;* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-;* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-;* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-; 
-;*******************************************************************************
+;* Copyright (c) 2017 STMicroelectronics.
+;* All rights reserved.
+;*
+;* This software component is licensed by ST under BSD 3-Clause license,
+;* the "License"; You may not use this file except in compliance with the
+;* License. You may obtain a copy of the License at:
+;*                        opensource.org/licenses/BSD-3-Clause
+;*
+;******************************************************************************
 
 ; Amount of memory (in bytes) allocated for Stack
 ; Tailor this value to your application needs
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f215xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f215xx.s
index fcdfec8e..bc5c95d4 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f215xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f215xx.s
@@ -1,8 +1,6 @@
-;******************** (C) COPYRIGHT 2015 STMicroelectronics ********************
+;******************** (C) COPYRIGHT 2017 STMicroelectronics ********************
 ;* File Name          : startup_stm32f215xx.s
 ;* Author             : MCD Application Team
-;* Version            : V2.1.0
-;* Date               : 09-October-2015
 ;* Description        : STM32F215xx devices vector table for MDK-ARM toolchain. 
 ;*                      This module performs:
 ;*                      - Set the initial SP
@@ -13,31 +11,18 @@
 ;*                      After Reset the CortexM3 processor is in Thread mode,
 ;*                      priority is Privileged, and the Stack is set to Main.
 ;* <<< Use Configuration Wizard in Context Menu >>>   
-;*******************************************************************************
-; 
-;* Redistribution and use in source and binary forms, with or without modification,
-;* are permitted provided that the following conditions are met:
-;*   1. Redistributions of source code must retain the above copyright notice,
-;*      this list of conditions and the following disclaimer.
-;*   2. Redistributions in binary form must reproduce the above copyright notice,
-;*      this list of conditions and the following disclaimer in the documentation
-;*      and/or other materials provided with the distribution.
-;*   3. Neither the name of STMicroelectronics nor the names of its contributors
-;*      may be used to endorse or promote products derived from this software
-;*      without specific prior written permission.
+;******************************************************************************
+;* @attention
 ;*
-;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-;* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-;* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-;* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-;* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-;* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-;* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-;* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-;* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-; 
-;*******************************************************************************
+;* Copyright (c) 2017 STMicroelectronics.
+;* All rights reserved.
+;*
+;* This software component is licensed by ST under BSD 3-Clause license,
+;* the "License"; You may not use this file except in compliance with the
+;* License. You may obtain a copy of the License at:
+;*                        opensource.org/licenses/BSD-3-Clause
+;*
+;******************************************************************************
 
 ; Amount of memory (in bytes) allocated for Stack
 ; Tailor this value to your application needs
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f217xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f217xx.s
index a65b707d..58aa783e 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f217xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/arm/startup_stm32f217xx.s
@@ -1,8 +1,6 @@
-;******************** (C) COPYRIGHT 2015 STMicroelectronics ********************
+;******************** (C) COPYRIGHT 2017 STMicroelectronics ********************
 ;* File Name          : startup_stm32f217xx.s
 ;* Author             : MCD Application Team
-;* Version            : V2.1.0
-;* Date               : 09-October-2015
 ;* Description        : STM32F217xx devices vector table for MDK-ARM toolchain. 
 ;*                      This module performs:
 ;*                      - Set the initial SP
@@ -13,31 +11,18 @@
 ;*                      After Reset the CortexM3 processor is in Thread mode,
 ;*                      priority is Privileged, and the Stack is set to Main.
 ;* <<< Use Configuration Wizard in Context Menu >>>   
-;*******************************************************************************
-; 
-;* Redistribution and use in source and binary forms, with or without modification,
-;* are permitted provided that the following conditions are met:
-;*   1. Redistributions of source code must retain the above copyright notice,
-;*      this list of conditions and the following disclaimer.
-;*   2. Redistributions in binary form must reproduce the above copyright notice,
-;*      this list of conditions and the following disclaimer in the documentation
-;*      and/or other materials provided with the distribution.
-;*   3. Neither the name of STMicroelectronics nor the names of its contributors
-;*      may be used to endorse or promote products derived from this software
-;*      without specific prior written permission.
+;******************************************************************************
+;* @attention
 ;*
-;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-;* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-;* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-;* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-;* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-;* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-;* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-;* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-;* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-; 
-;*******************************************************************************
+;* Copyright (c) 2017 STMicroelectronics.
+;* All rights reserved.
+;*
+;* This software component is licensed by ST under BSD 3-Clause license,
+;* the "License"; You may not use this file except in compliance with the
+;* License. You may obtain a copy of the License at:
+;*                        opensource.org/licenses/BSD-3-Clause
+;*
+;******************************************************************************
 
 ; Amount of memory (in bytes) allocated for Stack
 ; Tailor this value to your application needs
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f205xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f205xx.s
index 5e534225..3eb1691f 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f205xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f205xx.s
@@ -2,8 +2,6 @@
   ******************************************************************************
   * @file      startup_stm32f205xx.s
   * @author    MCD Application Team
-  * @version   V2.1.0
-  * @date      09-October-2015
   * @brief     STM32F205xx Devices vector table for Atollic TrueSTUDIO toolchain. 
   *            This module performs:
   *                - Set the initial SP
@@ -16,29 +14,13 @@
   ******************************************************************************
   * @attention
   *
-  * 
© COPYRIGHT 2015 STMicroelectronics

+  * 
© Copyright (c) 2017 STMicroelectronics.
+  * All rights reserved.

   *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
-  *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
   ******************************************************************************
   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f207xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f207xx.s
index c5ec0e0c..b34aa820 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f207xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f207xx.s
@@ -2,8 +2,6 @@
   ******************************************************************************
   * @file      startup_stm32f207xx.s
   * @author    MCD Application Team
-  * @version   V2.1.0
-  * @date      09-October-2015
   * @brief     STM32F207xx Devices vector table for Atollic TrueSTUDIO toolchain. 
   *            This module performs:
   *                - Set the initial SP
@@ -16,29 +14,13 @@
   ******************************************************************************
   * @attention
   *
-  * 
© COPYRIGHT 2015 STMicroelectronics

+  * 
© Copyright (c) 2017 STMicroelectronics.
+  * All rights reserved.

   *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
-  *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
   ******************************************************************************
   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f215xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f215xx.s
index 67917624..c51829ad 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f215xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f215xx.s
@@ -2,8 +2,6 @@
   ******************************************************************************
   * @file      startup_stm32f215xx.s
   * @author    MCD Application Team
-  * @version   V2.1.0
-  * @date      09-October-2015
   * @brief     STM32F215xx Devices vector table for Atollic TrueSTUDIO toolchain. 
   *            This module performs:
   *                - Set the initial SP
@@ -16,29 +14,13 @@
   ******************************************************************************
   * @attention
   *
-  * 
© COPYRIGHT 2015 STMicroelectronics

+  * 
© Copyright (c) 2017 STMicroelectronics.
+  * All rights reserved.

   *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
-  *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
   ******************************************************************************
   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f217xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f217xx.s
index 3f024dc9..a9ceb28d 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f217xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/gcc/startup_stm32f217xx.s
@@ -2,8 +2,6 @@
   ******************************************************************************
   * @file      startup_stm32f217xx.s
   * @author    MCD Application Team
-  * @version   V2.1.0
-  * @date      09-October-2015
   * @brief     STM32F217xx Devices vector table for Atollic TrueSTUDIO toolchain. 
   *            This module performs:
   *                - Set the initial SP
@@ -16,29 +14,13 @@
   ******************************************************************************
   * @attention
   *
-  * 
© COPYRIGHT 2015 STMicroelectronics

+  * 
© Copyright (c) 2017 STMicroelectronics.
+  * All rights reserved.

   *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
-  *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
   ******************************************************************************
   */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f205xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f205xx.s
index 45d25523..f60726d1 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f205xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f205xx.s
@@ -1,8 +1,6 @@
-;/******************** (C) COPYRIGHT 2015 STMicroelectronics ********************
+;/******************** (C) COPYRIGHT 2017 STMicroelectronics ********************
 ;* File Name          : startup_stm32f205xx.s
 ;* Author             : MCD Application Team
-;* Version            : V2.1.0
-;* Date               : 09-October-2015
 ;* Description        : STM32F20x/21x devices vector table for EWARM toolchain.
 ;*                      This module performs:
 ;*                      - Set the initial SP
@@ -13,30 +11,17 @@
 ;*                        calls main()).
 ;*                      After Reset the Cortex-M3 processor is in Thread mode,
 ;*                      priority is Privileged, and the Stack is set to Main.
-;********************************************************************************
-;* 
-;* Redistribution and use in source and binary forms, with or without modification,
-;* are permitted provided that the following conditions are met:
-;*   1. Redistributions of source code must retain the above copyright notice,
-;*      this list of conditions and the following disclaimer.
-;*   2. Redistributions in binary form must reproduce the above copyright notice,
-;*      this list of conditions and the following disclaimer in the documentation
-;*      and/or other materials provided with the distribution.
-;*   3. Neither the name of STMicroelectronics nor the names of its contributors
-;*      may be used to endorse or promote products derived from this software
-;*      without specific prior written permission.
+;*******************************************************************************
+;* @attention
+;*
+;* 
© Copyright (c) 2017 STMicroelectronics.
+;* All rights reserved.

+;*
+;* This software component is licensed by ST under BSD 3-Clause license,
+;* the "License"; You may not use this file except in compliance with the
+;* License. You may obtain a copy of the License at:
+;*                        opensource.org/licenses/BSD-3-Clause
 ;*
-;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-;* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-;* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-;* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-;* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-;* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-;* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-;* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-;* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-;* 
 ;*******************************************************************************
 ;
 ;
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f207xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f207xx.s
index 483a496e..e72150d1 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f207xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f207xx.s
@@ -1,8 +1,6 @@
-;/******************** (C) COPYRIGHT 2015 STMicroelectronics ********************
+;/******************** (C) COPYRIGHT 2017 STMicroelectronics ********************
 ;* File Name          : startup_stm32f207xx.s
 ;* Author             : MCD Application Team
-;* Version            : V2.1.0
-;* Date               : 09-October-2015
 ;* Description        : STM32F20x/21x devices vector table for EWARM toolchain.
 ;*                      This module performs:
 ;*                      - Set the initial SP
@@ -13,30 +11,17 @@
 ;*                        calls main()).
 ;*                      After Reset the Cortex-M3 processor is in Thread mode,
 ;*                      priority is Privileged, and the Stack is set to Main.
-;********************************************************************************
-;* 
-;* Redistribution and use in source and binary forms, with or without modification,
-;* are permitted provided that the following conditions are met:
-;*   1. Redistributions of source code must retain the above copyright notice,
-;*      this list of conditions and the following disclaimer.
-;*   2. Redistributions in binary form must reproduce the above copyright notice,
-;*      this list of conditions and the following disclaimer in the documentation
-;*      and/or other materials provided with the distribution.
-;*   3. Neither the name of STMicroelectronics nor the names of its contributors
-;*      may be used to endorse or promote products derived from this software
-;*      without specific prior written permission.
+;*******************************************************************************
+;* @attention
+;*
+;* 
© Copyright (c) 2017 STMicroelectronics.
+;* All rights reserved.

+;*
+;* This software component is licensed by ST under BSD 3-Clause license,
+;* the "License"; You may not use this file except in compliance with the
+;* License. You may obtain a copy of the License at:
+;*                        opensource.org/licenses/BSD-3-Clause
 ;*
-;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-;* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-;* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-;* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-;* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-;* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-;* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-;* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-;* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-;* 
 ;*******************************************************************************
 ;
 ;
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f215xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f215xx.s
index ffa4af4c..4d9ab95d 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f215xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f215xx.s
@@ -1,8 +1,6 @@
-;/******************** (C) COPYRIGHT 2015 STMicroelectronics ********************
+;/******************** (C) COPYRIGHT 2017 STMicroelectronics ********************
 ;* File Name          : startup_stm32f215xx.s
 ;* Author             : MCD Application Team
-;* Version            : V2.1.0
-;* Date               : 09-October-2015
 ;* Description        : STM32F20x/21x devices vector table for EWARM toolchain.
 ;*                      This module performs:
 ;*                      - Set the initial SP
@@ -13,30 +11,17 @@
 ;*                        calls main()).
 ;*                      After Reset the Cortex-M3 processor is in Thread mode,
 ;*                      priority is Privileged, and the Stack is set to Main.
-;********************************************************************************
-;* 
-;* Redistribution and use in source and binary forms, with or without modification,
-;* are permitted provided that the following conditions are met:
-;*   1. Redistributions of source code must retain the above copyright notice,
-;*      this list of conditions and the following disclaimer.
-;*   2. Redistributions in binary form must reproduce the above copyright notice,
-;*      this list of conditions and the following disclaimer in the documentation
-;*      and/or other materials provided with the distribution.
-;*   3. Neither the name of STMicroelectronics nor the names of its contributors
-;*      may be used to endorse or promote products derived from this software
-;*      without specific prior written permission.
+;*******************************************************************************
+;* @attention
+;*
+;* 
© Copyright (c) 2017 STMicroelectronics.
+;* All rights reserved.

+;*
+;* This software component is licensed by ST under BSD 3-Clause license,
+;* the "License"; You may not use this file except in compliance with the
+;* License. You may obtain a copy of the License at:
+;*                        opensource.org/licenses/BSD-3-Clause
 ;*
-;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-;* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-;* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-;* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-;* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-;* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-;* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-;* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-;* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-;* 
 ;*******************************************************************************
 ;
 ;
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f217xx.s b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f217xx.s
index aa05aeee..dbfeb077 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f217xx.s
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/iar/startup_stm32f217xx.s
@@ -1,8 +1,6 @@
-;/******************** (C) COPYRIGHT 2015 STMicroelectronics ********************
+;/******************** (C) COPYRIGHT 2017 STMicroelectronics ********************
 ;* File Name          : startup_stm32f217xx.s
 ;* Author             : MCD Application Team
-;* Version            : V2.1.0
-;* Date               : 09-October-2015
 ;* Description        : STM32F20x/21x devices vector table for EWARM toolchain.
 ;*                      This module performs:
 ;*                      - Set the initial SP
@@ -13,30 +11,17 @@
 ;*                        calls main()).
 ;*                      After Reset the Cortex-M3 processor is in Thread mode,
 ;*                      priority is Privileged, and the Stack is set to Main.
-;********************************************************************************
-;* 
-;* Redistribution and use in source and binary forms, with or without modification,
-;* are permitted provided that the following conditions are met:
-;*   1. Redistributions of source code must retain the above copyright notice,
-;*      this list of conditions and the following disclaimer.
-;*   2. Redistributions in binary form must reproduce the above copyright notice,
-;*      this list of conditions and the following disclaimer in the documentation
-;*      and/or other materials provided with the distribution.
-;*   3. Neither the name of STMicroelectronics nor the names of its contributors
-;*      may be used to endorse or promote products derived from this software
-;*      without specific prior written permission.
+;*******************************************************************************
+;* @attention
+;*
+;* 
© Copyright (c) 2017 STMicroelectronics.
+;* All rights reserved.

+;*
+;* This software component is licensed by ST under BSD 3-Clause license,
+;* the "License"; You may not use this file except in compliance with the
+;* License. You may obtain a copy of the License at:
+;*                        opensource.org/licenses/BSD-3-Clause
 ;*
-;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-;* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-;* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-;* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-;* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-;* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-;* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-;* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-;* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-;* 
 ;*******************************************************************************
 ;
 ;
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/system_stm32f2xx.c b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/system_stm32f2xx.c
index acd46803..3c2a20b0 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/system_stm32f2xx.c
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Device/ST/STM32F2xx/Source/Templates/system_stm32f2xx.c
@@ -2,8 +2,6 @@
   ******************************************************************************
   * @file    system_stm32f2xx.c
   * @author  MCD Application Team
-  * @version V2.1.0
-  * @date    09-October-2015
   * @brief   CMSIS Cortex-M3 Device Peripheral Access Layer System Source File.
   *             
   *   This file provides two functions and one global variable to be called from 
@@ -23,29 +21,13 @@
   ******************************************************************************
   * @attention
   *
-  * 
© COPYRIGHT(c) 2015 STMicroelectronics

+  * 
© Copyright (c) 2016 STMicroelectronics.
+  * All rights reserved.

   *
-  * Redistribution and use in source and binary forms, with or without modification,
-  * are permitted provided that the following conditions are met:
-  *   1. Redistributions of source code must retain the above copyright notice,
-  *      this list of conditions and the following disclaimer.
-  *   2. Redistributions in binary form must reproduce the above copyright notice,
-  *      this list of conditions and the following disclaimer in the documentation
-  *      and/or other materials provided with the distribution.
-  *   3. Neither the name of STMicroelectronics nor the names of its contributors
-  *      may be used to endorse or promote products derived from this software
-  *      without specific prior written permission.
-  *
-  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-  * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
-  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-  * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+  * This software component is licensed by ST under BSD 3-Clause license,
+  * the "License"; You may not use this file except in compliance with the
+  * License. You may obtain a copy of the License at:
+  *                        opensource.org/licenses/BSD-3-Clause
   *
   ******************************************************************************
   */
@@ -65,7 +47,7 @@
 #include "stm32f2xx.h"
 
 #if !defined  (HSE_VALUE) 
-  #define HSE_VALUE    ((uint32_t)25000000) /*!< Value of the External oscillator in Hz */
+  #define HSE_VALUE    ((uint32_t)25000000) /*!< Default value of the External oscillator in Hz */
 #endif /* HSE_VALUE */
 
 #if !defined  (HSI_VALUE)
@@ -123,9 +105,9 @@
                is no need to call the 2 first functions listed above, since SystemCoreClock
                variable is updated automatically.
   */
-  uint32_t SystemCoreClock = 12000000;
+  uint32_t SystemCoreClock = 16000000;
   const uint8_t AHBPrescTable[16] = {0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 9};
-
+  const uint8_t APBPrescTable[8]  = {0, 0, 0, 0, 1, 2, 3, 4};
 /**
   * @}
   */
@@ -211,10 +193,10 @@ void SystemInit(void)
   *             16 MHz) but the real value may vary depending on the variations
   *             in voltage and temperature.   
   *    
-  *         (**) HSE_VALUE is a constant defined in stm32f2xx_hal_conf.h file (default value
-  *              25 MHz), user has to ensure that HSE_VALUE is same as the real
-  *              frequency of the crystal used. Otherwise, this function may
-  *              have wrong result.
+  *         (**) HSE_VALUE is a constant defined in stm32f2xx_hal_conf.h file (its value
+  *              depends on the application requirements), user has to ensure that HSE_VALUE
+  *              is same as the real frequency of the crystal used. Otherwise, this function
+  *              may have wrong result.
   *                
   *         - The result of this function could be not correct when using fractional
   *           value for HSE crystal.
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/arm_common_tables.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/arm_common_tables.h
deleted file mode 100644
index 039cc3d6..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/arm_common_tables.h
+++ /dev/null
@@ -1,136 +0,0 @@
-/* ----------------------------------------------------------------------
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
-*
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*
-* Project: 	    CMSIS DSP Library
-* Title:	    arm_common_tables.h
-*
-* Description:	This file has extern declaration for common tables like Bitreverse, reciprocal etc which are used across different functions
-*
-* Target Processor: Cortex-M4/Cortex-M3
-*
-* Redistribution and use in source and binary forms, with or without
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.
-* -------------------------------------------------------------------- */
-
-#ifndef _ARM_COMMON_TABLES_H
-#define _ARM_COMMON_TABLES_H
-
-#include "arm_math.h"
-
-extern const uint16_t armBitRevTable[1024];
-extern const q15_t armRecipTableQ15[64];
-extern const q31_t armRecipTableQ31[64];
-//extern const q31_t realCoefAQ31[1024];
-//extern const q31_t realCoefBQ31[1024];
-extern const float32_t twiddleCoef_16[32];
-extern const float32_t twiddleCoef_32[64];
-extern const float32_t twiddleCoef_64[128];
-extern const float32_t twiddleCoef_128[256];
-extern const float32_t twiddleCoef_256[512];
-extern const float32_t twiddleCoef_512[1024];
-extern const float32_t twiddleCoef_1024[2048];
-extern const float32_t twiddleCoef_2048[4096];
-extern const float32_t twiddleCoef_4096[8192];
-#define twiddleCoef twiddleCoef_4096
-extern const q31_t twiddleCoef_16_q31[24];
-extern const q31_t twiddleCoef_32_q31[48];
-extern const q31_t twiddleCoef_64_q31[96];
-extern const q31_t twiddleCoef_128_q31[192];
-extern const q31_t twiddleCoef_256_q31[384];
-extern const q31_t twiddleCoef_512_q31[768];
-extern const q31_t twiddleCoef_1024_q31[1536];
-extern const q31_t twiddleCoef_2048_q31[3072];
-extern const q31_t twiddleCoef_4096_q31[6144];
-extern const q15_t twiddleCoef_16_q15[24];
-extern const q15_t twiddleCoef_32_q15[48];
-extern const q15_t twiddleCoef_64_q15[96];
-extern const q15_t twiddleCoef_128_q15[192];
-extern const q15_t twiddleCoef_256_q15[384];
-extern const q15_t twiddleCoef_512_q15[768];
-extern const q15_t twiddleCoef_1024_q15[1536];
-extern const q15_t twiddleCoef_2048_q15[3072];
-extern const q15_t twiddleCoef_4096_q15[6144];
-extern const float32_t twiddleCoef_rfft_32[32];
-extern const float32_t twiddleCoef_rfft_64[64];
-extern const float32_t twiddleCoef_rfft_128[128];
-extern const float32_t twiddleCoef_rfft_256[256];
-extern const float32_t twiddleCoef_rfft_512[512];
-extern const float32_t twiddleCoef_rfft_1024[1024];
-extern const float32_t twiddleCoef_rfft_2048[2048];
-extern const float32_t twiddleCoef_rfft_4096[4096];
-
-
-/* floating-point bit reversal tables */
-#define ARMBITREVINDEXTABLE__16_TABLE_LENGTH ((uint16_t)20  )
-#define ARMBITREVINDEXTABLE__32_TABLE_LENGTH ((uint16_t)48  )
-#define ARMBITREVINDEXTABLE__64_TABLE_LENGTH ((uint16_t)56  )
-#define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208 )
-#define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440 )
-#define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448 )
-#define ARMBITREVINDEXTABLE1024_TABLE_LENGTH ((uint16_t)1800)
-#define ARMBITREVINDEXTABLE2048_TABLE_LENGTH ((uint16_t)3808)
-#define ARMBITREVINDEXTABLE4096_TABLE_LENGTH ((uint16_t)4032)
-
-extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE__16_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE__32_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE__64_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE1024_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH];
-
-/* fixed-point bit reversal tables */
-#define ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH ((uint16_t)12  )
-#define ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH ((uint16_t)24  )
-#define ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH ((uint16_t)56  )
-#define ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH ((uint16_t)112 )
-#define ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH ((uint16_t)240 )
-#define ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH ((uint16_t)480 )
-#define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992 )
-#define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984)
-#define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032)
-
-extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH];
-extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH];
-
-/* Tables for Fast Math Sine and Cosine */
-extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1];
-extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1];
-extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1];
-
-#endif /*  ARM_COMMON_TABLES_H */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/arm_const_structs.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/arm_const_structs.h
deleted file mode 100644
index 726d06eb..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/arm_const_structs.h
+++ /dev/null
@@ -1,79 +0,0 @@
-/* ----------------------------------------------------------------------
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
-*
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*
-* Project: 	    CMSIS DSP Library
-* Title:	    arm_const_structs.h
-*
-* Description:	This file has constant structs that are initialized for
-*              user convenience.  For example, some can be given as
-*              arguments to the arm_cfft_f32() function.
-*
-* Target Processor: Cortex-M4/Cortex-M3
-*
-* Redistribution and use in source and binary forms, with or without
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.
-* -------------------------------------------------------------------- */
-
-#ifndef _ARM_CONST_STRUCTS_H
-#define _ARM_CONST_STRUCTS_H
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16;
-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32;
-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64;
-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128;
-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256;
-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512;
-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024;
-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048;
-   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096;
-
-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16;
-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32;
-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64;
-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128;
-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256;
-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512;
-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024;
-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048;
-   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096;
-
-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16;
-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32;
-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64;
-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128;
-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256;
-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512;
-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024;
-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048;
-   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096;
-
-#endif
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/arm_math.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/arm_math.h
deleted file mode 100644
index e4b2f62e..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/arm_math.h
+++ /dev/null
@@ -1,7556 +0,0 @@
-/* ----------------------------------------------------------------------
-* Copyright (C) 2010-2015 ARM Limited. All rights reserved.
-*
-* $Date:        19. March 2015
-* $Revision: 	V.1.4.5
-*
-* Project: 	    CMSIS DSP Library
-* Title:	    arm_math.h
-*
-* Description:	Public header file for CMSIS DSP Library
-*
-* Target Processor: Cortex-M7/Cortex-M4/Cortex-M3/Cortex-M0
-*
-* Redistribution and use in source and binary forms, with or without
-* modification, are permitted provided that the following conditions
-* are met:
-*   - Redistributions of source code must retain the above copyright
-*     notice, this list of conditions and the following disclaimer.
-*   - Redistributions in binary form must reproduce the above copyright
-*     notice, this list of conditions and the following disclaimer in
-*     the documentation and/or other materials provided with the
-*     distribution.
-*   - Neither the name of ARM LIMITED nor the names of its contributors
-*     may be used to endorse or promote products derived from this
-*     software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.
- * -------------------------------------------------------------------- */
-
-/**
-   \mainpage CMSIS DSP Software Library
-   *
-   * Introduction
-   * ------------
-   *
-   * This user manual describes the CMSIS DSP software library,
-   * a suite of common signal processing functions for use on Cortex-M processor based devices.
-   *
-   * The library is divided into a number of functions each covering a specific category:
-   * - Basic math functions
-   * - Fast math functions
-   * - Complex math functions
-   * - Filters
-   * - Matrix functions
-   * - Transforms
-   * - Motor control functions
-   * - Statistical functions
-   * - Support functions
-   * - Interpolation functions
-   *
-   * The library has separate functions for operating on 8-bit integers, 16-bit integers,
-   * 32-bit integer and 32-bit floating-point values.
-   *
-   * Using the Library
-   * ------------
-   *
-   * The library installer contains prebuilt versions of the libraries in the Lib folder.
-   * - arm_cortexM7lfdp_math.lib (Little endian and Double Precision Floating Point Unit on Cortex-M7)
-   * - arm_cortexM7bfdp_math.lib (Big endian and Double Precision Floating Point Unit on Cortex-M7)
-   * - arm_cortexM7lfsp_math.lib (Little endian and Single Precision Floating Point Unit on Cortex-M7)
-   * - arm_cortexM7bfsp_math.lib (Big endian and Single Precision Floating Point Unit on Cortex-M7)
-   * - arm_cortexM7l_math.lib (Little endian on Cortex-M7)
-   * - arm_cortexM7b_math.lib (Big endian on Cortex-M7)
-   * - arm_cortexM4lf_math.lib (Little endian and Floating Point Unit on Cortex-M4)
-   * - arm_cortexM4bf_math.lib (Big endian and Floating Point Unit on Cortex-M4)
-   * - arm_cortexM4l_math.lib (Little endian on Cortex-M4)
-   * - arm_cortexM4b_math.lib (Big endian on Cortex-M4)
-   * - arm_cortexM3l_math.lib (Little endian on Cortex-M3)
-   * - arm_cortexM3b_math.lib (Big endian on Cortex-M3)
-   * - arm_cortexM0l_math.lib (Little endian on Cortex-M0 / CortexM0+)
-   * - arm_cortexM0b_math.lib (Big endian on Cortex-M0 / CortexM0+)
-   *
-   * The library functions are declared in the public file arm_math.h which is placed in the Include folder.
-   * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single
-   * public header file  arm_math.h for Cortex-M7/M4/M3/M0/M0+ with little endian and big endian. Same header file will be used for floating point unit(FPU) variants.
-   * Define the appropriate pre processor MACRO ARM_MATH_CM7 or ARM_MATH_CM4 or  ARM_MATH_CM3 or
-   * ARM_MATH_CM0 or ARM_MATH_CM0PLUS depending on the target processor in the application.
-   *
-   * Examples
-   * --------
-   *
-   * The library ships with a number of examples which demonstrate how to use the library functions.
-   *
-   * Toolchain Support
-   * ------------
-   *
-   * The library has been developed and tested with MDK-ARM version 5.14.0.0
-   * The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly.
-   *
-   * Building the Library
-   * ------------
-   *
-   * The library installer contains a project file to re build libraries on MDK-ARM Tool chain in the CMSIS\\DSP_Lib\\Source\\ARM folder.
-   * - arm_cortexM_math.uvprojx
-   *
-   *
-   * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional pre processor MACROs detailed above.
-   *
-   * Pre-processor Macros
-   * ------------
-   *
-   * Each library project have differant pre-processor macros.
-   *
-   * - UNALIGNED_SUPPORT_DISABLE:
-   *
-   * Define macro UNALIGNED_SUPPORT_DISABLE, If the silicon does not support unaligned memory access
-   *
-   * - ARM_MATH_BIG_ENDIAN:
-   *
-   * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets.
-   *
-   * - ARM_MATH_MATRIX_CHECK:
-   *
-   * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices
-   *
-   * - ARM_MATH_ROUNDING:
-   *
-   * Define macro ARM_MATH_ROUNDING for rounding on support functions
-   *
-   * - ARM_MATH_CMx:
-   *
-   * Define macro ARM_MATH_CM4 for building the library on Cortex-M4 target, ARM_MATH_CM3 for building library on Cortex-M3 target
-   * and ARM_MATH_CM0 for building library on Cortex-M0 target, ARM_MATH_CM0PLUS for building library on Cortex-M0+ target, and
-   * ARM_MATH_CM7 for building the library on cortex-M7.
-   *
-   * - __FPU_PRESENT:
-   *
-   * Initialize macro __FPU_PRESENT = 1 when building on FPU supported Targets. Enable this macro for M4bf and M4lf libraries
-   *
-   * 

-   * CMSIS-DSP in ARM::CMSIS Pack
-   * -----------------------------
-   * 
-   * The following files relevant to CMSIS-DSP are present in the ARM::CMSIS Pack directories:
-   * |File/Folder                   |Content                                                                 |
-   * |------------------------------|------------------------------------------------------------------------|
-   * |\b CMSIS\\Documentation\\DSP  | This documentation                                                     |
-   * |\b CMSIS\\DSP_Lib             | Software license agreement (license.txt)                               |
-   * |\b CMSIS\\DSP_Lib\\Examples   | Example projects demonstrating the usage of the library functions      |
-   * |\b CMSIS\\DSP_Lib\\Source     | Source files for rebuilding the library                                |
-   * 
-   * 

-   * Revision History of CMSIS-DSP
-   * ------------
-   * Please refer to \ref ChangeLog_pg.
-   *
-   * Copyright Notice
-   * ------------
-   *
-   * Copyright (C) 2010-2015 ARM Limited. All rights reserved.
-   */
-
-
-/**
- * @defgroup groupMath Basic Math Functions
- */
-
-/**
- * @defgroup groupFastMath Fast Math Functions
- * This set of functions provides a fast approximation to sine, cosine, and square root.
- * As compared to most of the other functions in the CMSIS math library, the fast math functions
- * operate on individual values and not arrays.
- * There are separate functions for Q15, Q31, and floating-point data.
- *
- */
-
-/**
- * @defgroup groupCmplxMath Complex Math Functions
- * This set of functions operates on complex data vectors.
- * The data in the complex arrays is stored in an interleaved fashion
- * (real, imag, real, imag, ...).
- * In the API functions, the number of samples in a complex array refers
- * to the number of complex values; the array contains twice this number of
- * real values.
- */
-
-/**
- * @defgroup groupFilters Filtering Functions
- */
-
-/**
- * @defgroup groupMatrix Matrix Functions
- *
- * This set of functions provides basic matrix math operations.
- * The functions operate on matrix data structures.  For example,
- * the type
- * definition for the floating-point matrix structure is shown
- * below:
- * 
- *     typedef struct
- *     {
- *       uint16_t numRows;     // number of rows of the matrix.
- *       uint16_t numCols;     // number of columns of the matrix.
- *       float32_t *pData;     // points to the data of the matrix.
- *     } arm_matrix_instance_f32;
- * 

- * There are similar definitions for Q15 and Q31 data types.
- *
- * The structure specifies the size of the matrix and then points to
- * an array of data.  The array is of size numRows X numCols
- * and the values are arranged in row order.  That is, the
- * matrix element (i, j) is stored at:
- * 
- *     pData[i*numCols + j]
- * 

- *
- * \par Init Functions
- * There is an associated initialization function for each type of matrix
- * data structure.
- * The initialization function sets the values of the internal structure fields.
- * Refer to the function arm_mat_init_f32(), arm_mat_init_q31()
- * and arm_mat_init_q15() for floating-point, Q31 and Q15 types,  respectively.
- *
- * \par
- * Use of the initialization function is optional. However, if initialization function is used
- * then the instance structure cannot be placed into a const data section.
- * To place the instance structure in a const data
- * section, manually initialize the data structure.  For example:
- * 
- * arm_matrix_instance_f32 S = {nRows, nColumns, pData};
- * arm_matrix_instance_q31 S = {nRows, nColumns, pData};
- * arm_matrix_instance_q15 S = {nRows, nColumns, pData};
- * 

- * where nRows specifies the number of rows, nColumns
- * specifies the number of columns, and pData points to the
- * data array.
- *
- * \par Size Checking
- * By default all of the matrix functions perform size checking on the input and
- * output matrices.  For example, the matrix addition function verifies that the
- * two input matrices and the output matrix all have the same number of rows and
- * columns.  If the size check fails the functions return:
- * 
- *     ARM_MATH_SIZE_MISMATCH
- * 

- * Otherwise the functions return
- * 
- *     ARM_MATH_SUCCESS
- * 

- * There is some overhead associated with this matrix size checking.
- * The matrix size checking is enabled via the \#define
- * 
- *     ARM_MATH_MATRIX_CHECK
- * 

- * within the library project settings.  By default this macro is defined
- * and size checking is enabled.  By changing the project settings and
- * undefining this macro size checking is eliminated and the functions
- * run a bit faster.  With size checking disabled the functions always
- * return ARM_MATH_SUCCESS.
- */
-
-/**
- * @defgroup groupTransforms Transform Functions
- */
-
-/**
- * @defgroup groupController Controller Functions
- */
-
-/**
- * @defgroup groupStats Statistics Functions
- */
-/**
- * @defgroup groupSupport Support Functions
- */
-
-/**
- * @defgroup groupInterpolation Interpolation Functions
- * These functions perform 1- and 2-dimensional interpolation of data.
- * Linear interpolation is used for 1-dimensional data and
- * bilinear interpolation is used for 2-dimensional data.
- */
-
-/**
- * @defgroup groupExamples Examples
- */
-#ifndef _ARM_MATH_H
-#define _ARM_MATH_H
-
-#define __CMSIS_GENERIC         /* disable NVIC and Systick functions */
-
-#if defined(ARM_MATH_CM7)
-  #include "core_cm7.h"
-#elif defined (ARM_MATH_CM4)
-  #include "core_cm4.h"
-#elif defined (ARM_MATH_CM3)
-  #include "core_cm3.h"
-#elif defined (ARM_MATH_CM0)
-  #include "core_cm0.h"
-#define ARM_MATH_CM0_FAMILY
-  #elif defined (ARM_MATH_CM0PLUS)
-#include "core_cm0plus.h"
-  #define ARM_MATH_CM0_FAMILY
-#else
-  #error "Define according the used Cortex core ARM_MATH_CM7, ARM_MATH_CM4, ARM_MATH_CM3, ARM_MATH_CM0PLUS or ARM_MATH_CM0"
-#endif
-
-#undef  __CMSIS_GENERIC         /* enable NVIC and Systick functions */
-#include "string.h"
-#include "math.h"
-#ifdef	__cplusplus
-extern "C"
-{
-#endif
-
-
-  /**
-   * @brief Macros required for reciprocal calculation in Normalized LMS
-   */
-
-#define DELTA_Q31 			(0x100)
-#define DELTA_Q15 			0x5
-#define INDEX_MASK 			0x0000003F
-#ifndef PI
-#define PI					3.14159265358979f
-#endif
-
-  /**
-   * @brief Macros required for SINE and COSINE Fast math approximations
-   */
-
-#define FAST_MATH_TABLE_SIZE  512
-#define FAST_MATH_Q31_SHIFT   (32 - 10)
-#define FAST_MATH_Q15_SHIFT   (16 - 10)
-#define CONTROLLER_Q31_SHIFT  (32 - 9)
-#define TABLE_SIZE  256
-#define TABLE_SPACING_Q31	   0x400000
-#define TABLE_SPACING_Q15	   0x80
-
-  /**
-   * @brief Macros required for SINE and COSINE Controller functions
-   */
-  /* 1.31(q31) Fixed value of 2/360 */
-  /* -1 to +1 is divided into 360 values so total spacing is (2/360) */
-#define INPUT_SPACING			0xB60B61
-
-  /**
-   * @brief Macro for Unaligned Support
-   */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-    #define ALIGN4
-#else
-  #if defined  (__GNUC__)
-    #define ALIGN4 __attribute__((aligned(4)))
-  #else
-    #define ALIGN4 __align(4)
-  #endif
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /**
-   * @brief Error status returned by some functions in the library.
-   */
-
-  typedef enum
-  {
-    ARM_MATH_SUCCESS = 0,                /**< No error */
-    ARM_MATH_ARGUMENT_ERROR = -1,        /**< One or more arguments are incorrect */
-    ARM_MATH_LENGTH_ERROR = -2,          /**< Length of data buffer is incorrect */
-    ARM_MATH_SIZE_MISMATCH = -3,         /**< Size of matrices is not compatible with the operation. */
-    ARM_MATH_NANINF = -4,                /**< Not-a-number (NaN) or infinity is generated */
-    ARM_MATH_SINGULAR = -5,              /**< Generated by matrix inversion if the input matrix is singular and cannot be inverted. */
-    ARM_MATH_TEST_FAILURE = -6           /**< Test Failed  */
-  } arm_status;
-
-  /**
-   * @brief 8-bit fractional data type in 1.7 format.
-   */
-  typedef int8_t q7_t;
-
-  /**
-   * @brief 16-bit fractional data type in 1.15 format.
-   */
-  typedef int16_t q15_t;
-
-  /**
-   * @brief 32-bit fractional data type in 1.31 format.
-   */
-  typedef int32_t q31_t;
-
-  /**
-   * @brief 64-bit fractional data type in 1.63 format.
-   */
-  typedef int64_t q63_t;
-
-  /**
-   * @brief 32-bit floating-point type definition.
-   */
-  typedef float float32_t;
-
-  /**
-   * @brief 64-bit floating-point type definition.
-   */
-  typedef double float64_t;
-
-  /**
-   * @brief definition to read/write two 16 bit values.
-   */
-#if defined __CC_ARM
-  #define __SIMD32_TYPE int32_t __packed
-  #define CMSIS_UNUSED __attribute__((unused))
-#elif defined __ICCARM__
-  #define __SIMD32_TYPE int32_t __packed
-  #define CMSIS_UNUSED
-#elif defined __GNUC__
-  #define __SIMD32_TYPE int32_t
-  #define CMSIS_UNUSED __attribute__((unused))
-#elif defined __CSMC__			/* Cosmic */
-  #define __SIMD32_TYPE int32_t
-  #define CMSIS_UNUSED
-#elif defined __TASKING__
-  #define __SIMD32_TYPE __unaligned int32_t
-  #define CMSIS_UNUSED
-#else
-  #error Unknown compiler
-#endif
-
-#define __SIMD32(addr)  (*(__SIMD32_TYPE **) & (addr))
-#define __SIMD32_CONST(addr)  ((__SIMD32_TYPE *)(addr))
-
-#define _SIMD32_OFFSET(addr)  (*(__SIMD32_TYPE *)  (addr))
-
-#define __SIMD64(addr)  (*(int64_t **) & (addr))
-
-#if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY)
-  /**
-   * @brief definition to pack two 16 bit values.
-   */
-#define __PKHBT(ARG1, ARG2, ARG3)      ( (((int32_t)(ARG1) <<  0) & (int32_t)0x0000FFFF) | \
-                                         (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000)  )
-#define __PKHTB(ARG1, ARG2, ARG3)      ( (((int32_t)(ARG1) <<  0) & (int32_t)0xFFFF0000) | \
-                                         (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF)  )
-
-#endif
-
-
-   /**
-   * @brief definition to pack four 8 bit values.
-   */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) <<  0) & (int32_t)0x000000FF) |	\
-                                (((int32_t)(v1) <<  8) & (int32_t)0x0000FF00) |	\
-							    (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) |	\
-							    (((int32_t)(v3) << 24) & (int32_t)0xFF000000)  )
-#else
-
-#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) <<  0) & (int32_t)0x000000FF) |	\
-                                (((int32_t)(v2) <<  8) & (int32_t)0x0000FF00) |	\
-							    (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) |	\
-							    (((int32_t)(v0) << 24) & (int32_t)0xFF000000)  )
-
-#endif
-
-
-  /**
-   * @brief Clips Q63 to Q31 values.
-   */
-  static __INLINE q31_t clip_q63_to_q31(
-  q63_t x)
-  {
-    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
-      ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x;
-  }
-
-  /**
-   * @brief Clips Q63 to Q15 values.
-   */
-  static __INLINE q15_t clip_q63_to_q15(
-  q63_t x)
-  {
-    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
-      ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15);
-  }
-
-  /**
-   * @brief Clips Q31 to Q7 values.
-   */
-  static __INLINE q7_t clip_q31_to_q7(
-  q31_t x)
-  {
-    return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ?
-      ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x;
-  }
-
-  /**
-   * @brief Clips Q31 to Q15 values.
-   */
-  static __INLINE q15_t clip_q31_to_q15(
-  q31_t x)
-  {
-    return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ?
-      ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x;
-  }
-
-  /**
-   * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format.
-   */
-
-  static __INLINE q63_t mult32x64(
-  q63_t x,
-  q31_t y)
-  {
-    return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) +
-            (((q63_t) (x >> 32) * y)));
-  }
-
-
-//#if defined (ARM_MATH_CM0_FAMILY) && defined ( __CC_ARM   )
-//#define __CLZ __clz
-//#endif
-
-//note: function can be removed when all toolchain support __CLZ for Cortex-M0
-#if defined (ARM_MATH_CM0_FAMILY) && ((defined (__ICCARM__))  )
-
-  static __INLINE uint32_t __CLZ(
-  q31_t data);
-
-
-  static __INLINE uint32_t __CLZ(
-  q31_t data)
-  {
-    uint32_t count = 0;
-    uint32_t mask = 0x80000000;
-
-    while((data & mask) == 0)
-    {
-      count += 1u;
-      mask = mask >> 1u;
-    }
-
-    return (count);
-
-  }
-
-#endif
-
-  /**
-   * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type.
-   */
-
-  static __INLINE uint32_t arm_recip_q31(
-  q31_t in,
-  q31_t * dst,
-  q31_t * pRecipTable)
-  {
-
-    uint32_t out, tempVal;
-    uint32_t index, i;
-    uint32_t signBits;
-
-    if(in > 0)
-    {
-      signBits = __CLZ(in) - 1;
-    }
-    else
-    {
-      signBits = __CLZ(-in) - 1;
-    }
-
-    /* Convert input sample to 1.31 format */
-    in = in << signBits;
-
-    /* calculation of index for initial approximated Val */
-    index = (uint32_t) (in >> 24u);
-    index = (index & INDEX_MASK);
-
-    /* 1.31 with exp 1 */
-    out = pRecipTable[index];
-
-    /* calculation of reciprocal value */
-    /* running approximation for two iterations */
-    for (i = 0u; i < 2u; i++)
-    {
-      tempVal = (q31_t) (((q63_t) in * out) >> 31u);
-      tempVal = 0x7FFFFFFF - tempVal;
-      /*      1.31 with exp 1 */
-      //out = (q31_t) (((q63_t) out * tempVal) >> 30u);
-      out = (q31_t) clip_q63_to_q31(((q63_t) out * tempVal) >> 30u);
-    }
-
-    /* write output */
-    *dst = out;
-
-    /* return num of signbits of out = 1/in value */
-    return (signBits + 1u);
-
-  }
-
-  /**
-   * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type.
-   */
-  static __INLINE uint32_t arm_recip_q15(
-  q15_t in,
-  q15_t * dst,
-  q15_t * pRecipTable)
-  {
-
-    uint32_t out = 0, tempVal = 0;
-    uint32_t index = 0, i = 0;
-    uint32_t signBits = 0;
-
-    if(in > 0)
-    {
-      signBits = __CLZ(in) - 17;
-    }
-    else
-    {
-      signBits = __CLZ(-in) - 17;
-    }
-
-    /* Convert input sample to 1.15 format */
-    in = in << signBits;
-
-    /* calculation of index for initial approximated Val */
-    index = in >> 8;
-    index = (index & INDEX_MASK);
-
-    /*      1.15 with exp 1  */
-    out = pRecipTable[index];
-
-    /* calculation of reciprocal value */
-    /* running approximation for two iterations */
-    for (i = 0; i < 2; i++)
-    {
-      tempVal = (q15_t) (((q31_t) in * out) >> 15);
-      tempVal = 0x7FFF - tempVal;
-      /*      1.15 with exp 1 */
-      out = (q15_t) (((q31_t) out * tempVal) >> 14);
-    }
-
-    /* write output */
-    *dst = out;
-
-    /* return num of signbits of out = 1/in value */
-    return (signBits + 1);
-
-  }
-
-
-  /*
-   * @brief C custom defined intrinisic function for only M0 processors
-   */
-#if defined(ARM_MATH_CM0_FAMILY)
-
-  static __INLINE q31_t __SSAT(
-  q31_t x,
-  uint32_t y)
-  {
-    int32_t posMax, negMin;
-    uint32_t i;
-
-    posMax = 1;
-    for (i = 0; i < (y - 1); i++)
-    {
-      posMax = posMax * 2;
-    }
-
-    if(x > 0)
-    {
-      posMax = (posMax - 1);
-
-      if(x > posMax)
-      {
-        x = posMax;
-      }
-    }
-    else
-    {
-      negMin = -posMax;
-
-      if(x < negMin)
-      {
-        x = negMin;
-      }
-    }
-    return (x);
-
-
-  }
-
-#endif /* end of ARM_MATH_CM0_FAMILY */
-
-
-
-  /*
-   * @brief C custom defined intrinsic function for M3 and M0 processors
-   */
-#if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY)
-
-  /*
-   * @brief C custom defined QADD8 for M3 and M0 processors
-   */
-  static __INLINE q31_t __QADD8(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q7_t r, s, t, u;
-
-    r = (q7_t) x;
-    s = (q7_t) y;
-
-    r = __SSAT((q31_t) (r + s), 8);
-    s = __SSAT(((q31_t) (((x << 16) >> 24) + ((y << 16) >> 24))), 8);
-    t = __SSAT(((q31_t) (((x << 8) >> 24) + ((y << 8) >> 24))), 8);
-    u = __SSAT(((q31_t) ((x >> 24) + (y >> 24))), 8);
-
-    sum =
-      (((q31_t) u << 24) & 0xFF000000) | (((q31_t) t << 16) & 0x00FF0000) |
-      (((q31_t) s << 8) & 0x0000FF00) | (r & 0x000000FF);
-
-    return sum;
-
-  }
-
-  /*
-   * @brief C custom defined QSUB8 for M3 and M0 processors
-   */
-  static __INLINE q31_t __QSUB8(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s, t, u;
-
-    r = (q7_t) x;
-    s = (q7_t) y;
-
-    r = __SSAT((r - s), 8);
-    s = __SSAT(((q31_t) (((x << 16) >> 24) - ((y << 16) >> 24))), 8) << 8;
-    t = __SSAT(((q31_t) (((x << 8) >> 24) - ((y << 8) >> 24))), 8) << 16;
-    u = __SSAT(((q31_t) ((x >> 24) - (y >> 24))), 8) << 24;
-
-    sum =
-      (u & 0xFF000000) | (t & 0x00FF0000) | (s & 0x0000FF00) | (r &
-                                                                0x000000FF);
-
-    return sum;
-  }
-
-  /*
-   * @brief C custom defined QADD16 for M3 and M0 processors
-   */
-
-  /*
-   * @brief C custom defined QADD16 for M3 and M0 processors
-   */
-  static __INLINE q31_t __QADD16(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (q15_t) x;
-    s = (q15_t) y;
-
-    r = __SSAT(r + s, 16);
-    s = __SSAT(((q31_t) ((x >> 16) + (y >> 16))), 16) << 16;
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-
-  }
-
-  /*
-   * @brief C custom defined SHADD16 for M3 and M0 processors
-   */
-  static __INLINE q31_t __SHADD16(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (q15_t) x;
-    s = (q15_t) y;
-
-    r = ((r >> 1) + (s >> 1));
-    s = ((q31_t) ((x >> 17) + (y >> 17))) << 16;
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-
-  }
-
-  /*
-   * @brief C custom defined QSUB16 for M3 and M0 processors
-   */
-  static __INLINE q31_t __QSUB16(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (q15_t) x;
-    s = (q15_t) y;
-
-    r = __SSAT(r - s, 16);
-    s = __SSAT(((q31_t) ((x >> 16) - (y >> 16))), 16) << 16;
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-  }
-
-  /*
-   * @brief C custom defined SHSUB16 for M3 and M0 processors
-   */
-  static __INLINE q31_t __SHSUB16(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t diff;
-    q31_t r, s;
-
-    r = (q15_t) x;
-    s = (q15_t) y;
-
-    r = ((r >> 1) - (s >> 1));
-    s = (((x >> 17) - (y >> 17)) << 16);
-
-    diff = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return diff;
-  }
-
-  /*
-   * @brief C custom defined QASX for M3 and M0 processors
-   */
-  static __INLINE q31_t __QASX(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum = 0;
-
-    sum =
-      ((sum +
-        clip_q31_to_q15((q31_t) ((q15_t) (x >> 16) + (q15_t) y))) << 16) +
-      clip_q31_to_q15((q31_t) ((q15_t) x - (q15_t) (y >> 16)));
-
-    return sum;
-  }
-
-  /*
-   * @brief C custom defined SHASX for M3 and M0 processors
-   */
-  static __INLINE q31_t __SHASX(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (q15_t) x;
-    s = (q15_t) y;
-
-    r = ((r >> 1) - (y >> 17));
-    s = (((x >> 17) + (s >> 1)) << 16);
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-  }
-
-
-  /*
-   * @brief C custom defined QSAX for M3 and M0 processors
-   */
-  static __INLINE q31_t __QSAX(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum = 0;
-
-    sum =
-      ((sum +
-        clip_q31_to_q15((q31_t) ((q15_t) (x >> 16) - (q15_t) y))) << 16) +
-      clip_q31_to_q15((q31_t) ((q15_t) x + (q15_t) (y >> 16)));
-
-    return sum;
-  }
-
-  /*
-   * @brief C custom defined SHSAX for M3 and M0 processors
-   */
-  static __INLINE q31_t __SHSAX(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (q15_t) x;
-    s = (q15_t) y;
-
-    r = ((r >> 1) + (y >> 17));
-    s = (((x >> 17) - (s >> 1)) << 16);
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-  }
-
-  /*
-   * @brief C custom defined SMUSDX for M3 and M0 processors
-   */
-  static __INLINE q31_t __SMUSDX(
-  q31_t x,
-  q31_t y)
-  {
-
-    return ((q31_t) (((q15_t) x * (q15_t) (y >> 16)) -
-                     ((q15_t) (x >> 16) * (q15_t) y)));
-  }
-
-  /*
-   * @brief C custom defined SMUADX for M3 and M0 processors
-   */
-  static __INLINE q31_t __SMUADX(
-  q31_t x,
-  q31_t y)
-  {
-
-    return ((q31_t) (((q15_t) x * (q15_t) (y >> 16)) +
-                     ((q15_t) (x >> 16) * (q15_t) y)));
-  }
-
-  /*
-   * @brief C custom defined QADD for M3 and M0 processors
-   */
-  static __INLINE q31_t __QADD(
-  q31_t x,
-  q31_t y)
-  {
-    return clip_q63_to_q31((q63_t) x + y);
-  }
-
-  /*
-   * @brief C custom defined QSUB for M3 and M0 processors
-   */
-  static __INLINE q31_t __QSUB(
-  q31_t x,
-  q31_t y)
-  {
-    return clip_q63_to_q31((q63_t) x - y);
-  }
-
-  /*
-   * @brief C custom defined SMLAD for M3 and M0 processors
-   */
-  static __INLINE q31_t __SMLAD(
-  q31_t x,
-  q31_t y,
-  q31_t sum)
-  {
-
-    return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) +
-            ((q15_t) x * (q15_t) y));
-  }
-
-  /*
-   * @brief C custom defined SMLADX for M3 and M0 processors
-   */
-  static __INLINE q31_t __SMLADX(
-  q31_t x,
-  q31_t y,
-  q31_t sum)
-  {
-
-    return (sum + ((q15_t) (x >> 16) * (q15_t) (y)) +
-            ((q15_t) x * (q15_t) (y >> 16)));
-  }
-
-  /*
-   * @brief C custom defined SMLSDX for M3 and M0 processors
-   */
-  static __INLINE q31_t __SMLSDX(
-  q31_t x,
-  q31_t y,
-  q31_t sum)
-  {
-
-    return (sum - ((q15_t) (x >> 16) * (q15_t) (y)) +
-            ((q15_t) x * (q15_t) (y >> 16)));
-  }
-
-  /*
-   * @brief C custom defined SMLALD for M3 and M0 processors
-   */
-  static __INLINE q63_t __SMLALD(
-  q31_t x,
-  q31_t y,
-  q63_t sum)
-  {
-
-    return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) +
-            ((q15_t) x * (q15_t) y));
-  }
-
-  /*
-   * @brief C custom defined SMLALDX for M3 and M0 processors
-   */
-  static __INLINE q63_t __SMLALDX(
-  q31_t x,
-  q31_t y,
-  q63_t sum)
-  {
-
-    return (sum + ((q15_t) (x >> 16) * (q15_t) y)) +
-      ((q15_t) x * (q15_t) (y >> 16));
-  }
-
-  /*
-   * @brief C custom defined SMUAD for M3 and M0 processors
-   */
-  static __INLINE q31_t __SMUAD(
-  q31_t x,
-  q31_t y)
-  {
-
-    return (((x >> 16) * (y >> 16)) +
-            (((x << 16) >> 16) * ((y << 16) >> 16)));
-  }
-
-  /*
-   * @brief C custom defined SMUSD for M3 and M0 processors
-   */
-  static __INLINE q31_t __SMUSD(
-  q31_t x,
-  q31_t y)
-  {
-
-    return (-((x >> 16) * (y >> 16)) +
-            (((x << 16) >> 16) * ((y << 16) >> 16)));
-  }
-
-
-  /*
-   * @brief C custom defined SXTB16 for M3 and M0 processors
-   */
-  static __INLINE q31_t __SXTB16(
-  q31_t x)
-  {
-
-    return ((((x << 24) >> 24) & 0x0000FFFF) |
-            (((x << 8) >> 8) & 0xFFFF0000));
-  }
-
-
-#endif /* defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY) */
-
-
-  /**
-   * @brief Instance structure for the Q7 FIR filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;        /**< number of filter coefficients in the filter. */
-    q7_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q7_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
-  } arm_fir_instance_q7;
-
-  /**
-   * @brief Instance structure for the Q15 FIR filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;         /**< number of filter coefficients in the filter. */
-    q15_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q15_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
-  } arm_fir_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 FIR filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;         /**< number of filter coefficients in the filter. */
-    q31_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q31_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps. */
-  } arm_fir_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point FIR filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;     /**< number of filter coefficients in the filter. */
-    float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */
-  } arm_fir_instance_f32;
-
-
-  /**
-   * @brief Processing function for the Q7 FIR filter.
-   * @param[in] *S points to an instance of the Q7 FIR filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_q7(
-  const arm_fir_instance_q7 * S,
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the Q7 FIR filter.
-   * @param[in,out] *S points to an instance of the Q7 FIR structure.
-   * @param[in] numTaps  Number of filter coefficients in the filter.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of samples that are processed.
-   * @return none
-   */
-  void arm_fir_init_q7(
-  arm_fir_instance_q7 * S,
-  uint16_t numTaps,
-  q7_t * pCoeffs,
-  q7_t * pState,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the Q15 FIR filter.
-   * @param[in] *S points to an instance of the Q15 FIR structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the fast Q15 FIR filter for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q15 FIR filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_fast_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q15 FIR filter.
-   * @param[in,out] *S points to an instance of the Q15 FIR filter structure.
-   * @param[in] numTaps  Number of filter coefficients in the filter. Must be even and greater than or equal to 4.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of samples that are processed at a time.
-   * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_ARGUMENT_ERROR if
-   * numTaps is not a supported value.
-   */
-
-  arm_status arm_fir_init_q15(
-  arm_fir_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q31 FIR filter.
-   * @param[in] *S points to an instance of the Q31 FIR filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_q31(
-  const arm_fir_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the fast Q31 FIR filter for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q31 FIR structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_fast_q31(
-  const arm_fir_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q31 FIR filter.
-   * @param[in,out] *S points to an instance of the Q31 FIR structure.
-   * @param[in] 	numTaps  Number of filter coefficients in the filter.
-   * @param[in] 	*pCoeffs points to the filter coefficients.
-   * @param[in] 	*pState points to the state buffer.
-   * @param[in] 	blockSize number of samples that are processed at a time.
-   * @return 		none.
-   */
-  void arm_fir_init_q31(
-  arm_fir_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the floating-point FIR filter.
-   * @param[in] *S points to an instance of the floating-point FIR structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_f32(
-  const arm_fir_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the floating-point FIR filter.
-   * @param[in,out] *S points to an instance of the floating-point FIR filter structure.
-   * @param[in] 	numTaps  Number of filter coefficients in the filter.
-   * @param[in] 	*pCoeffs points to the filter coefficients.
-   * @param[in] 	*pState points to the state buffer.
-   * @param[in] 	blockSize number of samples that are processed at a time.
-   * @return    	none.
-   */
-  void arm_fir_init_f32(
-  arm_fir_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Instance structure for the Q15 Biquad cascade filter.
-   */
-  typedef struct
-  {
-    int8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    q15_t *pState;            /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
-    q15_t *pCoeffs;           /**< Points to the array of coefficients.  The array is of length 5*numStages. */
-    int8_t postShift;         /**< Additional shift, in bits, applied to each output sample. */
-
-  } arm_biquad_casd_df1_inst_q15;
-
-
-  /**
-   * @brief Instance structure for the Q31 Biquad cascade filter.
-   */
-  typedef struct
-  {
-    uint32_t numStages;      /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    q31_t *pState;           /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
-    q31_t *pCoeffs;          /**< Points to the array of coefficients.  The array is of length 5*numStages. */
-    uint8_t postShift;       /**< Additional shift, in bits, applied to each output sample. */
-
-  } arm_biquad_casd_df1_inst_q31;
-
-  /**
-   * @brief Instance structure for the floating-point Biquad cascade filter.
-   */
-  typedef struct
-  {
-    uint32_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    float32_t *pState;          /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
-    float32_t *pCoeffs;         /**< Points to the array of coefficients.  The array is of length 5*numStages. */
-
-
-  } arm_biquad_casd_df1_inst_f32;
-
-
-
-  /**
-   * @brief Processing function for the Q15 Biquad cascade filter.
-   * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
-  void arm_biquad_cascade_df1_q15(
-  const arm_biquad_casd_df1_inst_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q15 Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the Q15 Biquad cascade structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @param[in]     postShift    Shift to be applied to the output. Varies according to the coefficients format
-   * @return        none
-   */
-
-  void arm_biquad_cascade_df1_init_q15(
-  arm_biquad_casd_df1_inst_q15 * S,
-  uint8_t numStages,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  int8_t postShift);
-
-
-  /**
-   * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.
-   * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
-  void arm_biquad_cascade_df1_fast_q15(
-  const arm_biquad_casd_df1_inst_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the Q31 Biquad cascade filter
-   * @param[in]  *S         points to an instance of the Q31 Biquad cascade structure.
-   * @param[in]  *pSrc      points to the block of input data.
-   * @param[out] *pDst      points to the block of output data.
-   * @param[in]  blockSize  number of samples to process.
-   * @return     none.
-   */
-
-  void arm_biquad_cascade_df1_q31(
-  const arm_biquad_casd_df1_inst_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4.
-   * @param[in]  *S         points to an instance of the Q31 Biquad cascade structure.
-   * @param[in]  *pSrc      points to the block of input data.
-   * @param[out] *pDst      points to the block of output data.
-   * @param[in]  blockSize  number of samples to process.
-   * @return     none.
-   */
-
-  void arm_biquad_cascade_df1_fast_q31(
-  const arm_biquad_casd_df1_inst_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q31 Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the Q31 Biquad cascade structure.
-   * @param[in]     numStages      number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @param[in]     postShift    Shift to be applied to the output. Varies according to the coefficients format
-   * @return        none
-   */
-
-  void arm_biquad_cascade_df1_init_q31(
-  arm_biquad_casd_df1_inst_q31 * S,
-  uint8_t numStages,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  int8_t postShift);
-
-  /**
-   * @brief Processing function for the floating-point Biquad cascade filter.
-   * @param[in]  *S         points to an instance of the floating-point Biquad cascade structure.
-   * @param[in]  *pSrc      points to the block of input data.
-   * @param[out] *pDst      points to the block of output data.
-   * @param[in]  blockSize  number of samples to process.
-   * @return     none.
-   */
-
-  void arm_biquad_cascade_df1_f32(
-  const arm_biquad_casd_df1_inst_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the floating-point Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the floating-point Biquad cascade structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @return        none
-   */
-
-  void arm_biquad_cascade_df1_init_f32(
-  arm_biquad_casd_df1_inst_f32 * S,
-  uint8_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState);
-
-
-  /**
-   * @brief Instance structure for the floating-point matrix structure.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;     /**< number of rows of the matrix.     */
-    uint16_t numCols;     /**< number of columns of the matrix.  */
-    float32_t *pData;     /**< points to the data of the matrix. */
-  } arm_matrix_instance_f32;
-
-
-  /**
-   * @brief Instance structure for the floating-point matrix structure.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;     /**< number of rows of the matrix.     */
-    uint16_t numCols;     /**< number of columns of the matrix.  */
-    float64_t *pData;     /**< points to the data of the matrix. */
-  } arm_matrix_instance_f64;
-
-  /**
-   * @brief Instance structure for the Q15 matrix structure.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;     /**< number of rows of the matrix.     */
-    uint16_t numCols;     /**< number of columns of the matrix.  */
-    q15_t *pData;         /**< points to the data of the matrix. */
-
-  } arm_matrix_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 matrix structure.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;     /**< number of rows of the matrix.     */
-    uint16_t numCols;     /**< number of columns of the matrix.  */
-    q31_t *pData;         /**< points to the data of the matrix. */
-
-  } arm_matrix_instance_q31;
-
-
-
-  /**
-   * @brief Floating-point matrix addition.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_add_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst);
-
-  /**
-   * @brief Q15 matrix addition.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_add_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst);
-
-  /**
-   * @brief Q31 matrix addition.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_add_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst);
-
-  /**
-   * @brief Floating-point, complex, matrix multiplication.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_cmplx_mult_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst);
-
-  /**
-   * @brief Q15, complex,  matrix multiplication.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_cmplx_mult_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst,
-  q15_t * pScratch);
-
-  /**
-   * @brief Q31, complex, matrix multiplication.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_cmplx_mult_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst);
-
-
-  /**
-   * @brief Floating-point matrix transpose.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[out] *pDst points to the output matrix
-   * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH
-   * or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_trans_f32(
-  const arm_matrix_instance_f32 * pSrc,
-  arm_matrix_instance_f32 * pDst);
-
-
-  /**
-   * @brief Q15 matrix transpose.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[out] *pDst points to the output matrix
-   * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH
-   * or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_trans_q15(
-  const arm_matrix_instance_q15 * pSrc,
-  arm_matrix_instance_q15 * pDst);
-
-  /**
-   * @brief Q31 matrix transpose.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[out] *pDst points to the output matrix
-   * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH
-   * or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_trans_q31(
-  const arm_matrix_instance_q31 * pSrc,
-  arm_matrix_instance_q31 * pDst);
-
-
-  /**
-   * @brief Floating-point matrix multiplication
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_mult_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst);
-
-  /**
-   * @brief Q15 matrix multiplication
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @param[in]		 *pState points to the array for storing intermediate results
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_mult_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst,
-  q15_t * pState);
-
-  /**
-   * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA  points to the first input matrix structure
-   * @param[in]       *pSrcB  points to the second input matrix structure
-   * @param[out]      *pDst   points to output matrix structure
-   * @param[in]		  *pState points to the array for storing intermediate results
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_mult_fast_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst,
-  q15_t * pState);
-
-  /**
-   * @brief Q31 matrix multiplication
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_mult_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst);
-
-  /**
-   * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_mult_fast_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst);
-
-
-  /**
-   * @brief Floating-point matrix subtraction
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_sub_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst);
-
-  /**
-   * @brief Q15 matrix subtraction
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_sub_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst);
-
-  /**
-   * @brief Q31 matrix subtraction
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_sub_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst);
-
-  /**
-   * @brief Floating-point matrix scaling.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[in]  scale scale factor
-   * @param[out] *pDst points to the output matrix
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_scale_f32(
-  const arm_matrix_instance_f32 * pSrc,
-  float32_t scale,
-  arm_matrix_instance_f32 * pDst);
-
-  /**
-   * @brief Q15 matrix scaling.
-   * @param[in]       *pSrc points to input matrix
-   * @param[in]       scaleFract fractional portion of the scale factor
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to output matrix
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_scale_q15(
-  const arm_matrix_instance_q15 * pSrc,
-  q15_t scaleFract,
-  int32_t shift,
-  arm_matrix_instance_q15 * pDst);
-
-  /**
-   * @brief Q31 matrix scaling.
-   * @param[in]       *pSrc points to input matrix
-   * @param[in]       scaleFract fractional portion of the scale factor
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_scale_q31(
-  const arm_matrix_instance_q31 * pSrc,
-  q31_t scaleFract,
-  int32_t shift,
-  arm_matrix_instance_q31 * pDst);
-
-
-  /**
-   * @brief  Q31 matrix initialization.
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.
-   * @param[in]     nRows          number of rows in the matrix.
-   * @param[in]     nColumns       number of columns in the matrix.
-   * @param[in]     *pData	       points to the matrix data array.
-   * @return        none
-   */
-
-  void arm_mat_init_q31(
-  arm_matrix_instance_q31 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  q31_t * pData);
-
-  /**
-   * @brief  Q15 matrix initialization.
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.
-   * @param[in]     nRows          number of rows in the matrix.
-   * @param[in]     nColumns       number of columns in the matrix.
-   * @param[in]     *pData	       points to the matrix data array.
-   * @return        none
-   */
-
-  void arm_mat_init_q15(
-  arm_matrix_instance_q15 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  q15_t * pData);
-
-  /**
-   * @brief  Floating-point matrix initialization.
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.
-   * @param[in]     nRows          number of rows in the matrix.
-   * @param[in]     nColumns       number of columns in the matrix.
-   * @param[in]     *pData	       points to the matrix data array.
-   * @return        none
-   */
-
-  void arm_mat_init_f32(
-  arm_matrix_instance_f32 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  float32_t * pData);
-
-
-
-  /**
-   * @brief Instance structure for the Q15 PID Control.
-   */
-  typedef struct
-  {
-    q15_t A0;    /**< The derived gain, A0 = Kp + Ki + Kd . */
-#ifdef ARM_MATH_CM0_FAMILY
-    q15_t A1;
-    q15_t A2;
-#else
-    q31_t A1;           /**< The derived gain A1 = -Kp - 2Kd | Kd.*/
-#endif
-    q15_t state[3];       /**< The state array of length 3. */
-    q15_t Kp;           /**< The proportional gain. */
-    q15_t Ki;           /**< The integral gain. */
-    q15_t Kd;           /**< The derivative gain. */
-  } arm_pid_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 PID Control.
-   */
-  typedef struct
-  {
-    q31_t A0;            /**< The derived gain, A0 = Kp + Ki + Kd . */
-    q31_t A1;            /**< The derived gain, A1 = -Kp - 2Kd. */
-    q31_t A2;            /**< The derived gain, A2 = Kd . */
-    q31_t state[3];      /**< The state array of length 3. */
-    q31_t Kp;            /**< The proportional gain. */
-    q31_t Ki;            /**< The integral gain. */
-    q31_t Kd;            /**< The derivative gain. */
-
-  } arm_pid_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point PID Control.
-   */
-  typedef struct
-  {
-    float32_t A0;          /**< The derived gain, A0 = Kp + Ki + Kd . */
-    float32_t A1;          /**< The derived gain, A1 = -Kp - 2Kd. */
-    float32_t A2;          /**< The derived gain, A2 = Kd . */
-    float32_t state[3];    /**< The state array of length 3. */
-    float32_t Kp;               /**< The proportional gain. */
-    float32_t Ki;               /**< The integral gain. */
-    float32_t Kd;               /**< The derivative gain. */
-  } arm_pid_instance_f32;
-
-
-
-  /**
-   * @brief  Initialization function for the floating-point PID Control.
-   * @param[in,out] *S      points to an instance of the PID structure.
-   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
-   * @return none.
-   */
-  void arm_pid_init_f32(
-  arm_pid_instance_f32 * S,
-  int32_t resetStateFlag);
-
-  /**
-   * @brief  Reset function for the floating-point PID Control.
-   * @param[in,out] *S is an instance of the floating-point PID Control structure
-   * @return none
-   */
-  void arm_pid_reset_f32(
-  arm_pid_instance_f32 * S);
-
-
-  /**
-   * @brief  Initialization function for the Q31 PID Control.
-   * @param[in,out] *S points to an instance of the Q15 PID structure.
-   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
-   * @return none.
-   */
-  void arm_pid_init_q31(
-  arm_pid_instance_q31 * S,
-  int32_t resetStateFlag);
-
-
-  /**
-   * @brief  Reset function for the Q31 PID Control.
-   * @param[in,out] *S points to an instance of the Q31 PID Control structure
-   * @return none
-   */
-
-  void arm_pid_reset_q31(
-  arm_pid_instance_q31 * S);
-
-  /**
-   * @brief  Initialization function for the Q15 PID Control.
-   * @param[in,out] *S points to an instance of the Q15 PID structure.
-   * @param[in] resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
-   * @return none.
-   */
-  void arm_pid_init_q15(
-  arm_pid_instance_q15 * S,
-  int32_t resetStateFlag);
-
-  /**
-   * @brief  Reset function for the Q15 PID Control.
-   * @param[in,out] *S points to an instance of the q15 PID Control structure
-   * @return none
-   */
-  void arm_pid_reset_q15(
-  arm_pid_instance_q15 * S);
-
-
-  /**
-   * @brief Instance structure for the floating-point Linear Interpolate function.
-   */
-  typedef struct
-  {
-    uint32_t nValues;           /**< nValues */
-    float32_t x1;               /**< x1 */
-    float32_t xSpacing;         /**< xSpacing */
-    float32_t *pYData;          /**< pointer to the table of Y values */
-  } arm_linear_interp_instance_f32;
-
-  /**
-   * @brief Instance structure for the floating-point bilinear interpolation function.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;   /**< number of rows in the data table. */
-    uint16_t numCols;   /**< number of columns in the data table. */
-    float32_t *pData;   /**< points to the data table. */
-  } arm_bilinear_interp_instance_f32;
-
-   /**
-   * @brief Instance structure for the Q31 bilinear interpolation function.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;   /**< number of rows in the data table. */
-    uint16_t numCols;   /**< number of columns in the data table. */
-    q31_t *pData;       /**< points to the data table. */
-  } arm_bilinear_interp_instance_q31;
-
-   /**
-   * @brief Instance structure for the Q15 bilinear interpolation function.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;   /**< number of rows in the data table. */
-    uint16_t numCols;   /**< number of columns in the data table. */
-    q15_t *pData;       /**< points to the data table. */
-  } arm_bilinear_interp_instance_q15;
-
-   /**
-   * @brief Instance structure for the Q15 bilinear interpolation function.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;   /**< number of rows in the data table. */
-    uint16_t numCols;   /**< number of columns in the data table. */
-    q7_t *pData;                /**< points to the data table. */
-  } arm_bilinear_interp_instance_q7;
-
-
-  /**
-   * @brief Q7 vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst  points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_mult_q7(
-  q7_t * pSrcA,
-  q7_t * pSrcB,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q15 vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst  points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_mult_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q31 vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_mult_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Floating-point vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_mult_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-
-
-
-
-
-  /**
-   * @brief Instance structure for the Q15 CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                 /**< length of the FFT. */
-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    q15_t *pTwiddle;                     /**< points to the Sin twiddle factor table. */
-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-  } arm_cfft_radix2_instance_q15;
-
-/* Deprecated */
-  arm_status arm_cfft_radix2_init_q15(
-  arm_cfft_radix2_instance_q15 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-/* Deprecated */
-  void arm_cfft_radix2_q15(
-  const arm_cfft_radix2_instance_q15 * S,
-  q15_t * pSrc);
-
-
-
-  /**
-   * @brief Instance structure for the Q15 CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                 /**< length of the FFT. */
-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    q15_t *pTwiddle;                 /**< points to the twiddle factor table. */
-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-  } arm_cfft_radix4_instance_q15;
-
-/* Deprecated */
-  arm_status arm_cfft_radix4_init_q15(
-  arm_cfft_radix4_instance_q15 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-/* Deprecated */
-  void arm_cfft_radix4_q15(
-  const arm_cfft_radix4_instance_q15 * S,
-  q15_t * pSrc);
-
-  /**
-   * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                 /**< length of the FFT. */
-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    q31_t *pTwiddle;                     /**< points to the Twiddle factor table. */
-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-  } arm_cfft_radix2_instance_q31;
-
-/* Deprecated */
-  arm_status arm_cfft_radix2_init_q31(
-  arm_cfft_radix2_instance_q31 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-/* Deprecated */
-  void arm_cfft_radix2_q31(
-  const arm_cfft_radix2_instance_q31 * S,
-  q31_t * pSrc);
-
-  /**
-   * @brief Instance structure for the Q31 CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                 /**< length of the FFT. */
-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    q31_t *pTwiddle;                 /**< points to the twiddle factor table. */
-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-  } arm_cfft_radix4_instance_q31;
-
-/* Deprecated */
-  void arm_cfft_radix4_q31(
-  const arm_cfft_radix4_instance_q31 * S,
-  q31_t * pSrc);
-
-/* Deprecated */
-  arm_status arm_cfft_radix4_init_q31(
-  arm_cfft_radix4_instance_q31 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-  /**
-   * @brief Instance structure for the floating-point CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                   /**< length of the FFT. */
-    uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    float32_t *pTwiddle;               /**< points to the Twiddle factor table. */
-    uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-    float32_t onebyfftLen;                 /**< value of 1/fftLen. */
-  } arm_cfft_radix2_instance_f32;
-
-/* Deprecated */
-  arm_status arm_cfft_radix2_init_f32(
-  arm_cfft_radix2_instance_f32 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-/* Deprecated */
-  void arm_cfft_radix2_f32(
-  const arm_cfft_radix2_instance_f32 * S,
-  float32_t * pSrc);
-
-  /**
-   * @brief Instance structure for the floating-point CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                   /**< length of the FFT. */
-    uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    float32_t *pTwiddle;               /**< points to the Twiddle factor table. */
-    uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-    float32_t onebyfftLen;                 /**< value of 1/fftLen. */
-  } arm_cfft_radix4_instance_f32;
-
-/* Deprecated */
-  arm_status arm_cfft_radix4_init_f32(
-  arm_cfft_radix4_instance_f32 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-/* Deprecated */
-  void arm_cfft_radix4_f32(
-  const arm_cfft_radix4_instance_f32 * S,
-  float32_t * pSrc);
-
-  /**
-   * @brief Instance structure for the fixed-point CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                   /**< length of the FFT. */
-    const q15_t *pTwiddle;             /**< points to the Twiddle factor table. */
-    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
-    uint16_t bitRevLength;             /**< bit reversal table length. */
-  } arm_cfft_instance_q15;
-
-void arm_cfft_q15( 
-    const arm_cfft_instance_q15 * S, 
-    q15_t * p1,
-    uint8_t ifftFlag,
-    uint8_t bitReverseFlag);  
-
-  /**
-   * @brief Instance structure for the fixed-point CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                   /**< length of the FFT. */
-    const q31_t *pTwiddle;             /**< points to the Twiddle factor table. */
-    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
-    uint16_t bitRevLength;             /**< bit reversal table length. */
-  } arm_cfft_instance_q31;
-
-void arm_cfft_q31( 
-    const arm_cfft_instance_q31 * S, 
-    q31_t * p1,
-    uint8_t ifftFlag,
-    uint8_t bitReverseFlag);  
-  
-  /**
-   * @brief Instance structure for the floating-point CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                   /**< length of the FFT. */
-    const float32_t *pTwiddle;         /**< points to the Twiddle factor table. */
-    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
-    uint16_t bitRevLength;             /**< bit reversal table length. */
-  } arm_cfft_instance_f32;
-
-  void arm_cfft_f32(
-  const arm_cfft_instance_f32 * S,
-  float32_t * p1,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-  /**
-   * @brief Instance structure for the Q15 RFFT/RIFFT function.
-   */
-
-  typedef struct
-  {
-    uint32_t fftLenReal;                      /**< length of the real FFT. */
-    uint8_t ifftFlagR;                        /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
-    uint8_t bitReverseFlagR;                  /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
-    uint32_t twidCoefRModifier;               /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    q15_t *pTwiddleAReal;                     /**< points to the real twiddle factor table. */
-    q15_t *pTwiddleBReal;                     /**< points to the imag twiddle factor table. */
-    const arm_cfft_instance_q15 *pCfft;       /**< points to the complex FFT instance. */
-  } arm_rfft_instance_q15;
-
-  arm_status arm_rfft_init_q15(
-  arm_rfft_instance_q15 * S,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag);
-
-  void arm_rfft_q15(
-  const arm_rfft_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst);
-
-  /**
-   * @brief Instance structure for the Q31 RFFT/RIFFT function.
-   */
-
-  typedef struct
-  {
-    uint32_t fftLenReal;                        /**< length of the real FFT. */
-    uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
-    uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
-    uint32_t twidCoefRModifier;                 /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    q31_t *pTwiddleAReal;                       /**< points to the real twiddle factor table. */
-    q31_t *pTwiddleBReal;                       /**< points to the imag twiddle factor table. */
-    const arm_cfft_instance_q31 *pCfft;         /**< points to the complex FFT instance. */
-  } arm_rfft_instance_q31;
-
-  arm_status arm_rfft_init_q31(
-  arm_rfft_instance_q31 * S,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag);
-
-  void arm_rfft_q31(
-  const arm_rfft_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst);
-
-  /**
-   * @brief Instance structure for the floating-point RFFT/RIFFT function.
-   */
-
-  typedef struct
-  {
-    uint32_t fftLenReal;                        /**< length of the real FFT. */
-    uint16_t fftLenBy2;                         /**< length of the complex FFT. */
-    uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
-    uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
-    uint32_t twidCoefRModifier;                     /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    float32_t *pTwiddleAReal;                   /**< points to the real twiddle factor table. */
-    float32_t *pTwiddleBReal;                   /**< points to the imag twiddle factor table. */
-    arm_cfft_radix4_instance_f32 *pCfft;        /**< points to the complex FFT instance. */
-  } arm_rfft_instance_f32;
-
-  arm_status arm_rfft_init_f32(
-  arm_rfft_instance_f32 * S,
-  arm_cfft_radix4_instance_f32 * S_CFFT,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag);
-
-  void arm_rfft_f32(
-  const arm_rfft_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst);
-
-  /**
-   * @brief Instance structure for the floating-point RFFT/RIFFT function.
-   */
-
-typedef struct
-  {
-    arm_cfft_instance_f32 Sint;      /**< Internal CFFT structure. */
-    uint16_t fftLenRFFT;                        /**< length of the real sequence */
-	float32_t * pTwiddleRFFT;					/**< Twiddle factors real stage  */
-  } arm_rfft_fast_instance_f32 ;
-
-arm_status arm_rfft_fast_init_f32 (
-	arm_rfft_fast_instance_f32 * S,
-	uint16_t fftLen);
-
-void arm_rfft_fast_f32(
-  arm_rfft_fast_instance_f32 * S,
-  float32_t * p, float32_t * pOut,
-  uint8_t ifftFlag);
-
-  /**
-   * @brief Instance structure for the floating-point DCT4/IDCT4 function.
-   */
-
-  typedef struct
-  {
-    uint16_t N;                         /**< length of the DCT4. */
-    uint16_t Nby2;                      /**< half of the length of the DCT4. */
-    float32_t normalize;                /**< normalizing factor. */
-    float32_t *pTwiddle;                /**< points to the twiddle factor table. */
-    float32_t *pCosFactor;              /**< points to the cosFactor table. */
-    arm_rfft_instance_f32 *pRfft;        /**< points to the real FFT instance. */
-    arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
-  } arm_dct4_instance_f32;
-
-  /**
-   * @brief  Initialization function for the floating-point DCT4/IDCT4.
-   * @param[in,out] *S         points to an instance of floating-point DCT4/IDCT4 structure.
-   * @param[in]     *S_RFFT    points to an instance of floating-point RFFT/RIFFT structure.
-   * @param[in]     *S_CFFT    points to an instance of floating-point CFFT/CIFFT structure.
-   * @param[in]     N          length of the DCT4.
-   * @param[in]     Nby2       half of the length of the DCT4.
-   * @param[in]     normalize  normalizing factor.
-   * @return		arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length.
-   */
-
-  arm_status arm_dct4_init_f32(
-  arm_dct4_instance_f32 * S,
-  arm_rfft_instance_f32 * S_RFFT,
-  arm_cfft_radix4_instance_f32 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  float32_t normalize);
-
-  /**
-   * @brief Processing function for the floating-point DCT4/IDCT4.
-   * @param[in]       *S             points to an instance of the floating-point DCT4/IDCT4 structure.
-   * @param[in]       *pState        points to state buffer.
-   * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.
-   * @return none.
-   */
-
-  void arm_dct4_f32(
-  const arm_dct4_instance_f32 * S,
-  float32_t * pState,
-  float32_t * pInlineBuffer);
-
-  /**
-   * @brief Instance structure for the Q31 DCT4/IDCT4 function.
-   */
-
-  typedef struct
-  {
-    uint16_t N;                         /**< length of the DCT4. */
-    uint16_t Nby2;                      /**< half of the length of the DCT4. */
-    q31_t normalize;                    /**< normalizing factor. */
-    q31_t *pTwiddle;                    /**< points to the twiddle factor table. */
-    q31_t *pCosFactor;                  /**< points to the cosFactor table. */
-    arm_rfft_instance_q31 *pRfft;        /**< points to the real FFT instance. */
-    arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */
-  } arm_dct4_instance_q31;
-
-  /**
-   * @brief  Initialization function for the Q31 DCT4/IDCT4.
-   * @param[in,out] *S         points to an instance of Q31 DCT4/IDCT4 structure.
-   * @param[in]     *S_RFFT    points to an instance of Q31 RFFT/RIFFT structure
-   * @param[in]     *S_CFFT    points to an instance of Q31 CFFT/CIFFT structure
-   * @param[in]     N          length of the DCT4.
-   * @param[in]     Nby2       half of the length of the DCT4.
-   * @param[in]     normalize  normalizing factor.
-   * @return		arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.
-   */
-
-  arm_status arm_dct4_init_q31(
-  arm_dct4_instance_q31 * S,
-  arm_rfft_instance_q31 * S_RFFT,
-  arm_cfft_radix4_instance_q31 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  q31_t normalize);
-
-  /**
-   * @brief Processing function for the Q31 DCT4/IDCT4.
-   * @param[in]       *S             points to an instance of the Q31 DCT4 structure.
-   * @param[in]       *pState        points to state buffer.
-   * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.
-   * @return none.
-   */
-
-  void arm_dct4_q31(
-  const arm_dct4_instance_q31 * S,
-  q31_t * pState,
-  q31_t * pInlineBuffer);
-
-  /**
-   * @brief Instance structure for the Q15 DCT4/IDCT4 function.
-   */
-
-  typedef struct
-  {
-    uint16_t N;                         /**< length of the DCT4. */
-    uint16_t Nby2;                      /**< half of the length of the DCT4. */
-    q15_t normalize;                    /**< normalizing factor. */
-    q15_t *pTwiddle;                    /**< points to the twiddle factor table. */
-    q15_t *pCosFactor;                  /**< points to the cosFactor table. */
-    arm_rfft_instance_q15 *pRfft;        /**< points to the real FFT instance. */
-    arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */
-  } arm_dct4_instance_q15;
-
-  /**
-   * @brief  Initialization function for the Q15 DCT4/IDCT4.
-   * @param[in,out] *S         points to an instance of Q15 DCT4/IDCT4 structure.
-   * @param[in]     *S_RFFT    points to an instance of Q15 RFFT/RIFFT structure.
-   * @param[in]     *S_CFFT    points to an instance of Q15 CFFT/CIFFT structure.
-   * @param[in]     N          length of the DCT4.
-   * @param[in]     Nby2       half of the length of the DCT4.
-   * @param[in]     normalize  normalizing factor.
-   * @return		arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.
-   */
-
-  arm_status arm_dct4_init_q15(
-  arm_dct4_instance_q15 * S,
-  arm_rfft_instance_q15 * S_RFFT,
-  arm_cfft_radix4_instance_q15 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  q15_t normalize);
-
-  /**
-   * @brief Processing function for the Q15 DCT4/IDCT4.
-   * @param[in]       *S             points to an instance of the Q15 DCT4 structure.
-   * @param[in]       *pState        points to state buffer.
-   * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.
-   * @return none.
-   */
-
-  void arm_dct4_q15(
-  const arm_dct4_instance_q15 * S,
-  q15_t * pState,
-  q15_t * pInlineBuffer);
-
-  /**
-   * @brief Floating-point vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_add_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q7 vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_add_q7(
-  q7_t * pSrcA,
-  q7_t * pSrcB,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q15 vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_add_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q31 vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_add_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Floating-point vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_sub_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q7 vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_sub_q7(
-  q7_t * pSrcA,
-  q7_t * pSrcB,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q15 vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_sub_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q31 vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_sub_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Multiplies a floating-point vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scale scale factor to be applied
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_scale_f32(
-  float32_t * pSrc,
-  float32_t scale,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Multiplies a Q7 vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scaleFract fractional portion of the scale value
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_scale_q7(
-  q7_t * pSrc,
-  q7_t scaleFract,
-  int8_t shift,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Multiplies a Q15 vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scaleFract fractional portion of the scale value
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_scale_q15(
-  q15_t * pSrc,
-  q15_t scaleFract,
-  int8_t shift,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Multiplies a Q31 vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scaleFract fractional portion of the scale value
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_scale_q31(
-  q31_t * pSrc,
-  q31_t scaleFract,
-  int8_t shift,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q7 vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_abs_q7(
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Floating-point vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_abs_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q15 vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_abs_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q31 vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_abs_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Dot product of floating-point vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
-  void arm_dot_prod_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  uint32_t blockSize,
-  float32_t * result);
-
-  /**
-   * @brief Dot product of Q7 vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
-  void arm_dot_prod_q7(
-  q7_t * pSrcA,
-  q7_t * pSrcB,
-  uint32_t blockSize,
-  q31_t * result);
-
-  /**
-   * @brief Dot product of Q15 vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
-  void arm_dot_prod_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  uint32_t blockSize,
-  q63_t * result);
-
-  /**
-   * @brief Dot product of Q31 vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
-  void arm_dot_prod_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  uint32_t blockSize,
-  q63_t * result);
-
-  /**
-   * @brief  Shifts the elements of a Q7 vector a specified number of bits.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_shift_q7(
-  q7_t * pSrc,
-  int8_t shiftBits,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Shifts the elements of a Q15 vector a specified number of bits.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_shift_q15(
-  q15_t * pSrc,
-  int8_t shiftBits,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Shifts the elements of a Q31 vector a specified number of bits.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_shift_q31(
-  q31_t * pSrc,
-  int8_t shiftBits,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Adds a constant offset to a floating-point vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_offset_f32(
-  float32_t * pSrc,
-  float32_t offset,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Adds a constant offset to a Q7 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_offset_q7(
-  q7_t * pSrc,
-  q7_t offset,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Adds a constant offset to a Q15 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_offset_q15(
-  q15_t * pSrc,
-  q15_t offset,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Adds a constant offset to a Q31 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_offset_q31(
-  q31_t * pSrc,
-  q31_t offset,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Negates the elements of a floating-point vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_negate_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Negates the elements of a Q7 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_negate_q7(
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Negates the elements of a Q15 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_negate_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Negates the elements of a Q31 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_negate_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-  /**
-   * @brief  Copies the elements of a floating-point vector.
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_copy_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Copies the elements of a Q7 vector.
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_copy_q7(
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Copies the elements of a Q15 vector.
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_copy_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Copies the elements of a Q31 vector.
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_copy_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-  /**
-   * @brief  Fills a constant value into a floating-point vector.
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_fill_f32(
-  float32_t value,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Fills a constant value into a Q7 vector.
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_fill_q7(
-  q7_t value,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Fills a constant value into a Q15 vector.
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_fill_q15(
-  q15_t value,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Fills a constant value into a Q31 vector.
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_fill_q31(
-  q31_t value,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-/**
- * @brief Convolution of floating-point sequences.
- * @param[in] *pSrcA points to the first input sequence.
- * @param[in] srcALen length of the first input sequence.
- * @param[in] *pSrcB points to the second input sequence.
- * @param[in] srcBLen length of the second input sequence.
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.
- * @return none.
- */
-
-  void arm_conv_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst);
-
-
-  /**
-   * @brief Convolution of Q15 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
-   * @return none.
-   */
-
-
-  void arm_conv_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-/**
- * @brief Convolution of Q15 sequences.
- * @param[in] *pSrcA points to the first input sequence.
- * @param[in] srcALen length of the first input sequence.
- * @param[in] *pSrcB points to the second input sequence.
- * @param[in] srcBLen length of the second input sequence.
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.
- * @return none.
- */
-
-  void arm_conv_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst);
-
-  /**
-   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
-  void arm_conv_fast_q15(
-			  q15_t * pSrcA,
-			 uint32_t srcALen,
-			  q15_t * pSrcB,
-			 uint32_t srcBLen,
-			 q15_t * pDst);
-
-  /**
-   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
-   * @return none.
-   */
-
-  void arm_conv_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-
-  /**
-   * @brief Convolution of Q31 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
-  void arm_conv_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst);
-
-  /**
-   * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
-  void arm_conv_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst);
-
-
-    /**
-   * @brief Convolution of Q7 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
-   * @return none.
-   */
-
-  void arm_conv_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-
-  /**
-   * @brief Convolution of Q7 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
-  void arm_conv_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst);
-
-
-  /**
-   * @brief Partial convolution of floating-point sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints);
-
-    /**
-   * @brief Partial convolution of Q15 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @param[in]       * pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]       * pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-/**
-   * @brief Partial convolution of Q15 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints);
-
-  /**
-   * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_fast_q15(
-				        q15_t * pSrcA,
-				       uint32_t srcALen,
-				        q15_t * pSrcB,
-				       uint32_t srcBLen,
-				       q15_t * pDst,
-				       uint32_t firstIndex,
-				       uint32_t numPoints);
-
-
-  /**
-   * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @param[in]       * pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]       * pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-  /**
-   * @brief Partial convolution of Q31 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints);
-
-
-  /**
-   * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints);
-
-
-  /**
-   * @brief Partial convolution of Q7 sequences
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-/**
-   * @brief Partial convolution of Q7 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints);
-
-
-
-  /**
-   * @brief Instance structure for the Q15 FIR decimator.
-   */
-
-  typedef struct
-  {
-    uint8_t M;                      /**< decimation factor. */
-    uint16_t numTaps;               /**< number of coefficients in the filter. */
-    q15_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numTaps.*/
-    q15_t *pState;                   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-  } arm_fir_decimate_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 FIR decimator.
-   */
-
-  typedef struct
-  {
-    uint8_t M;                  /**< decimation factor. */
-    uint16_t numTaps;           /**< number of coefficients in the filter. */
-    q31_t *pCoeffs;              /**< points to the coefficient array. The array is of length numTaps.*/
-    q31_t *pState;               /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-
-  } arm_fir_decimate_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point FIR decimator.
-   */
-
-  typedef struct
-  {
-    uint8_t M;                          /**< decimation factor. */
-    uint16_t numTaps;                   /**< number of coefficients in the filter. */
-    float32_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numTaps.*/
-    float32_t *pState;                   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-
-  } arm_fir_decimate_instance_f32;
-
-
-
-  /**
-   * @brief Processing function for the floating-point FIR decimator.
-   * @param[in] *S points to an instance of the floating-point FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
-  void arm_fir_decimate_f32(
-  const arm_fir_decimate_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the floating-point FIR decimator.
-   * @param[in,out] *S points to an instance of the floating-point FIR decimator structure.
-   * @param[in] numTaps  number of coefficients in the filter.
-   * @param[in] M  decimation factor.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * blockSize is not a multiple of M.
-   */
-
-  arm_status arm_fir_decimate_init_f32(
-  arm_fir_decimate_instance_f32 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q15 FIR decimator.
-   * @param[in] *S points to an instance of the Q15 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
-  void arm_fir_decimate_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q15 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
-  void arm_fir_decimate_fast_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-
-
-  /**
-   * @brief  Initialization function for the Q15 FIR decimator.
-   * @param[in,out] *S points to an instance of the Q15 FIR decimator structure.
-   * @param[in] numTaps  number of coefficients in the filter.
-   * @param[in] M  decimation factor.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * blockSize is not a multiple of M.
-   */
-
-  arm_status arm_fir_decimate_init_q15(
-  arm_fir_decimate_instance_q15 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q31 FIR decimator.
-   * @param[in] *S points to an instance of the Q31 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
-  void arm_fir_decimate_q31(
-  const arm_fir_decimate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q31 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
-  void arm_fir_decimate_fast_q31(
-  arm_fir_decimate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the Q31 FIR decimator.
-   * @param[in,out] *S points to an instance of the Q31 FIR decimator structure.
-   * @param[in] numTaps  number of coefficients in the filter.
-   * @param[in] M  decimation factor.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * blockSize is not a multiple of M.
-   */
-
-  arm_status arm_fir_decimate_init_q31(
-  arm_fir_decimate_instance_q31 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize);
-
-
-
-  /**
-   * @brief Instance structure for the Q15 FIR interpolator.
-   */
-
-  typedef struct
-  {
-    uint8_t L;                      /**< upsample factor. */
-    uint16_t phaseLength;           /**< length of each polyphase filter component. */
-    q15_t *pCoeffs;                 /**< points to the coefficient array. The array is of length L*phaseLength. */
-    q15_t *pState;                  /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
-  } arm_fir_interpolate_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 FIR interpolator.
-   */
-
-  typedef struct
-  {
-    uint8_t L;                      /**< upsample factor. */
-    uint16_t phaseLength;           /**< length of each polyphase filter component. */
-    q31_t *pCoeffs;                  /**< points to the coefficient array. The array is of length L*phaseLength. */
-    q31_t *pState;                   /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
-  } arm_fir_interpolate_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point FIR interpolator.
-   */
-
-  typedef struct
-  {
-    uint8_t L;                     /**< upsample factor. */
-    uint16_t phaseLength;          /**< length of each polyphase filter component. */
-    float32_t *pCoeffs;             /**< points to the coefficient array. The array is of length L*phaseLength. */
-    float32_t *pState;              /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */
-  } arm_fir_interpolate_instance_f32;
-
-
-  /**
-   * @brief Processing function for the Q15 FIR interpolator.
-   * @param[in] *S        points to an instance of the Q15 FIR interpolator structure.
-   * @param[in] *pSrc     points to the block of input data.
-   * @param[out] *pDst    points to the block of output data.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_interpolate_q15(
-  const arm_fir_interpolate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the Q15 FIR interpolator.
-   * @param[in,out] *S        points to an instance of the Q15 FIR interpolator structure.
-   * @param[in]     L         upsample factor.
-   * @param[in]     numTaps   number of filter coefficients in the filter.
-   * @param[in]     *pCoeffs  points to the filter coefficient buffer.
-   * @param[in]     *pState   points to the state buffer.
-   * @param[in]     blockSize number of input samples to process per call.
-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * the filter length numTaps is not a multiple of the interpolation factor L.
-   */
-
-  arm_status arm_fir_interpolate_init_q15(
-  arm_fir_interpolate_instance_q15 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q31 FIR interpolator.
-   * @param[in] *S        points to an instance of the Q15 FIR interpolator structure.
-   * @param[in] *pSrc     points to the block of input data.
-   * @param[out] *pDst    points to the block of output data.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_interpolate_q31(
-  const arm_fir_interpolate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q31 FIR interpolator.
-   * @param[in,out] *S        points to an instance of the Q31 FIR interpolator structure.
-   * @param[in]     L         upsample factor.
-   * @param[in]     numTaps   number of filter coefficients in the filter.
-   * @param[in]     *pCoeffs  points to the filter coefficient buffer.
-   * @param[in]     *pState   points to the state buffer.
-   * @param[in]     blockSize number of input samples to process per call.
-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * the filter length numTaps is not a multiple of the interpolation factor L.
-   */
-
-  arm_status arm_fir_interpolate_init_q31(
-  arm_fir_interpolate_instance_q31 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the floating-point FIR interpolator.
-   * @param[in] *S        points to an instance of the floating-point FIR interpolator structure.
-   * @param[in] *pSrc     points to the block of input data.
-   * @param[out] *pDst    points to the block of output data.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_interpolate_f32(
-  const arm_fir_interpolate_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the floating-point FIR interpolator.
-   * @param[in,out] *S        points to an instance of the floating-point FIR interpolator structure.
-   * @param[in]     L         upsample factor.
-   * @param[in]     numTaps   number of filter coefficients in the filter.
-   * @param[in]     *pCoeffs  points to the filter coefficient buffer.
-   * @param[in]     *pState   points to the state buffer.
-   * @param[in]     blockSize number of input samples to process per call.
-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * the filter length numTaps is not a multiple of the interpolation factor L.
-   */
-
-  arm_status arm_fir_interpolate_init_f32(
-  arm_fir_interpolate_instance_f32 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Instance structure for the high precision Q31 Biquad cascade filter.
-   */
-
-  typedef struct
-  {
-    uint8_t numStages;       /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    q63_t *pState;           /**< points to the array of state coefficients.  The array is of length 4*numStages. */
-    q31_t *pCoeffs;          /**< points to the array of coefficients.  The array is of length 5*numStages. */
-    uint8_t postShift;       /**< additional shift, in bits, applied to each output sample. */
-
-  } arm_biquad_cas_df1_32x64_ins_q31;
-
-
-  /**
-   * @param[in]  *S        points to an instance of the high precision Q31 Biquad cascade filter structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_biquad_cas_df1_32x64_q31(
-  const arm_biquad_cas_df1_32x64_ins_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @param[in,out] *S           points to an instance of the high precision Q31 Biquad cascade filter structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @param[in]     postShift    shift to be applied to the output. Varies according to the coefficients format
-   * @return        none
-   */
-
-  void arm_biquad_cas_df1_32x64_init_q31(
-  arm_biquad_cas_df1_32x64_ins_q31 * S,
-  uint8_t numStages,
-  q31_t * pCoeffs,
-  q63_t * pState,
-  uint8_t postShift);
-
-
-
-  /**
-   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
-   */
-
-  typedef struct
-  {
-    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    float32_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */
-    float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
-  } arm_biquad_cascade_df2T_instance_f32;
-
-
-
-  /**
-   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
-   */
-
-  typedef struct
-  {
-    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    float32_t *pState;         /**< points to the array of state coefficients.  The array is of length 4*numStages. */
-    float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
-  } arm_biquad_cascade_stereo_df2T_instance_f32;
-
-
-
-  /**
-   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
-   */
-
-  typedef struct
-  {
-    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    float64_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */
-    float64_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
-  } arm_biquad_cascade_df2T_instance_f64;
-
-
-  /**
-   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
-   * @param[in]  *S        points to an instance of the filter data structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_biquad_cascade_df2T_f32(
-  const arm_biquad_cascade_df2T_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels
-   * @param[in]  *S        points to an instance of the filter data structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_biquad_cascade_stereo_df2T_f32(
-  const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
-   * @param[in]  *S        points to an instance of the filter data structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_biquad_cascade_df2T_f64(
-  const arm_biquad_cascade_df2T_instance_f64 * S,
-  float64_t * pSrc,
-  float64_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the filter data structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @return        none
-   */
-
-  void arm_biquad_cascade_df2T_init_f32(
-  arm_biquad_cascade_df2T_instance_f32 * S,
-  uint8_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState);
-
-
-  /**
-   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the filter data structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @return        none
-   */
-
-  void arm_biquad_cascade_stereo_df2T_init_f32(
-  arm_biquad_cascade_stereo_df2T_instance_f32 * S,
-  uint8_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState);
-
-
-  /**
-   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the filter data structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @return        none
-   */
-
-  void arm_biquad_cascade_df2T_init_f64(
-  arm_biquad_cascade_df2T_instance_f64 * S,
-  uint8_t numStages,
-  float64_t * pCoeffs,
-  float64_t * pState);
-
-
-
-  /**
-   * @brief Instance structure for the Q15 FIR lattice filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numStages;                          /**< number of filter stages. */
-    q15_t *pState;                               /**< points to the state variable array. The array is of length numStages. */
-    q15_t *pCoeffs;                              /**< points to the coefficient array. The array is of length numStages. */
-  } arm_fir_lattice_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 FIR lattice filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numStages;                          /**< number of filter stages. */
-    q31_t *pState;                               /**< points to the state variable array. The array is of length numStages. */
-    q31_t *pCoeffs;                              /**< points to the coefficient array. The array is of length numStages. */
-  } arm_fir_lattice_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point FIR lattice filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numStages;                  /**< number of filter stages. */
-    float32_t *pState;                   /**< points to the state variable array. The array is of length numStages. */
-    float32_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numStages. */
-  } arm_fir_lattice_instance_f32;
-
-  /**
-   * @brief Initialization function for the Q15 FIR lattice filter.
-   * @param[in] *S points to an instance of the Q15 FIR lattice structure.
-   * @param[in] numStages  number of filter stages.
-   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.
-   * @param[in] *pState points to the state buffer.  The array is of length numStages.
-   * @return none.
-   */
-
-  void arm_fir_lattice_init_q15(
-  arm_fir_lattice_instance_q15 * S,
-  uint16_t numStages,
-  q15_t * pCoeffs,
-  q15_t * pState);
-
-
-  /**
-   * @brief Processing function for the Q15 FIR lattice filter.
-   * @param[in] *S points to an instance of the Q15 FIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_lattice_q15(
-  const arm_fir_lattice_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for the Q31 FIR lattice filter.
-   * @param[in] *S points to an instance of the Q31 FIR lattice structure.
-   * @param[in] numStages  number of filter stages.
-   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.
-   * @param[in] *pState points to the state buffer.   The array is of length numStages.
-   * @return none.
-   */
-
-  void arm_fir_lattice_init_q31(
-  arm_fir_lattice_instance_q31 * S,
-  uint16_t numStages,
-  q31_t * pCoeffs,
-  q31_t * pState);
-
-
-  /**
-   * @brief Processing function for the Q31 FIR lattice filter.
-   * @param[in]  *S        points to an instance of the Q31 FIR lattice structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_fir_lattice_q31(
-  const arm_fir_lattice_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-/**
- * @brief Initialization function for the floating-point FIR lattice filter.
- * @param[in] *S points to an instance of the floating-point FIR lattice structure.
- * @param[in] numStages  number of filter stages.
- * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.
- * @param[in] *pState points to the state buffer.  The array is of length numStages.
- * @return none.
- */
-
-  void arm_fir_lattice_init_f32(
-  arm_fir_lattice_instance_f32 * S,
-  uint16_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState);
-
-  /**
-   * @brief Processing function for the floating-point FIR lattice filter.
-   * @param[in]  *S        points to an instance of the floating-point FIR lattice structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_fir_lattice_f32(
-  const arm_fir_lattice_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Instance structure for the Q15 IIR lattice filter.
-   */
-  typedef struct
-  {
-    uint16_t numStages;                         /**< number of stages in the filter. */
-    q15_t *pState;                              /**< points to the state variable array. The array is of length numStages+blockSize. */
-    q15_t *pkCoeffs;                            /**< points to the reflection coefficient array. The array is of length numStages. */
-    q15_t *pvCoeffs;                            /**< points to the ladder coefficient array. The array is of length numStages+1. */
-  } arm_iir_lattice_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 IIR lattice filter.
-   */
-  typedef struct
-  {
-    uint16_t numStages;                         /**< number of stages in the filter. */
-    q31_t *pState;                              /**< points to the state variable array. The array is of length numStages+blockSize. */
-    q31_t *pkCoeffs;                            /**< points to the reflection coefficient array. The array is of length numStages. */
-    q31_t *pvCoeffs;                            /**< points to the ladder coefficient array. The array is of length numStages+1. */
-  } arm_iir_lattice_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point IIR lattice filter.
-   */
-  typedef struct
-  {
-    uint16_t numStages;                         /**< number of stages in the filter. */
-    float32_t *pState;                          /**< points to the state variable array. The array is of length numStages+blockSize. */
-    float32_t *pkCoeffs;                        /**< points to the reflection coefficient array. The array is of length numStages. */
-    float32_t *pvCoeffs;                        /**< points to the ladder coefficient array. The array is of length numStages+1. */
-  } arm_iir_lattice_instance_f32;
-
-  /**
-   * @brief Processing function for the floating-point IIR lattice filter.
-   * @param[in] *S points to an instance of the floating-point IIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_iir_lattice_f32(
-  const arm_iir_lattice_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for the floating-point IIR lattice filter.
-   * @param[in] *S points to an instance of the floating-point IIR lattice structure.
-   * @param[in] numStages number of stages in the filter.
-   * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.
-   * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.
-   * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize-1.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_iir_lattice_init_f32(
-  arm_iir_lattice_instance_f32 * S,
-  uint16_t numStages,
-  float32_t * pkCoeffs,
-  float32_t * pvCoeffs,
-  float32_t * pState,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the Q31 IIR lattice filter.
-   * @param[in] *S points to an instance of the Q31 IIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_iir_lattice_q31(
-  const arm_iir_lattice_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Initialization function for the Q31 IIR lattice filter.
-   * @param[in] *S points to an instance of the Q31 IIR lattice structure.
-   * @param[in] numStages number of stages in the filter.
-   * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.
-   * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.
-   * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_iir_lattice_init_q31(
-  arm_iir_lattice_instance_q31 * S,
-  uint16_t numStages,
-  q31_t * pkCoeffs,
-  q31_t * pvCoeffs,
-  q31_t * pState,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the Q15 IIR lattice filter.
-   * @param[in] *S points to an instance of the Q15 IIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_iir_lattice_q15(
-  const arm_iir_lattice_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-
-/**
- * @brief Initialization function for the Q15 IIR lattice filter.
- * @param[in] *S points to an instance of the fixed-point Q15 IIR lattice structure.
- * @param[in] numStages  number of stages in the filter.
- * @param[in] *pkCoeffs points to reflection coefficient buffer.  The array is of length numStages.
- * @param[in] *pvCoeffs points to ladder coefficient buffer.  The array is of length numStages+1.
- * @param[in] *pState points to state buffer.  The array is of length numStages+blockSize.
- * @param[in] blockSize number of samples to process per call.
- * @return none.
- */
-
-  void arm_iir_lattice_init_q15(
-  arm_iir_lattice_instance_q15 * S,
-  uint16_t numStages,
-  q15_t * pkCoeffs,
-  q15_t * pvCoeffs,
-  q15_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Instance structure for the floating-point LMS filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;    /**< number of coefficients in the filter. */
-    float32_t *pState;   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    float32_t *pCoeffs;  /**< points to the coefficient array. The array is of length numTaps. */
-    float32_t mu;        /**< step size that controls filter coefficient updates. */
-  } arm_lms_instance_f32;
-
-  /**
-   * @brief Processing function for floating-point LMS filter.
-   * @param[in]  *S points to an instance of the floating-point LMS filter structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[in]  *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
-  void arm_lms_f32(
-  const arm_lms_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pRef,
-  float32_t * pOut,
-  float32_t * pErr,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for floating-point LMS filter.
-   * @param[in] *S points to an instance of the floating-point LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to the coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_init_f32(
-  arm_lms_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  float32_t mu,
-  uint32_t blockSize);
-
-  /**
-   * @brief Instance structure for the Q15 LMS filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;    /**< number of coefficients in the filter. */
-    q15_t *pState;       /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q15_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */
-    q15_t mu;            /**< step size that controls filter coefficient updates. */
-    uint32_t postShift;  /**< bit shift applied to coefficients. */
-  } arm_lms_instance_q15;
-
-
-  /**
-   * @brief Initialization function for the Q15 LMS filter.
-   * @param[in] *S points to an instance of the Q15 LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to the coefficient buffer.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return    none.
-   */
-
-  void arm_lms_init_q15(
-  arm_lms_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  q15_t mu,
-  uint32_t blockSize,
-  uint32_t postShift);
-
-  /**
-   * @brief Processing function for Q15 LMS filter.
-   * @param[in] *S points to an instance of the Q15 LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_q15(
-  const arm_lms_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pRef,
-  q15_t * pOut,
-  q15_t * pErr,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Instance structure for the Q31 LMS filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;    /**< number of coefficients in the filter. */
-    q31_t *pState;       /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q31_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */
-    q31_t mu;            /**< step size that controls filter coefficient updates. */
-    uint32_t postShift;  /**< bit shift applied to coefficients. */
-
-  } arm_lms_instance_q31;
-
-  /**
-   * @brief Processing function for Q31 LMS filter.
-   * @param[in]  *S points to an instance of the Q15 LMS filter structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[in]  *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
-  void arm_lms_q31(
-  const arm_lms_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pRef,
-  q31_t * pOut,
-  q31_t * pErr,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for Q31 LMS filter.
-   * @param[in] *S points to an instance of the Q31 LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return none.
-   */
-
-  void arm_lms_init_q31(
-  arm_lms_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  q31_t mu,
-  uint32_t blockSize,
-  uint32_t postShift);
-
-  /**
-   * @brief Instance structure for the floating-point normalized LMS filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;     /**< number of coefficients in the filter. */
-    float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */
-    float32_t mu;        /**< step size that control filter coefficient updates. */
-    float32_t energy;    /**< saves previous frame energy. */
-    float32_t x0;        /**< saves previous input sample. */
-  } arm_lms_norm_instance_f32;
-
-  /**
-   * @brief Processing function for floating-point normalized LMS filter.
-   * @param[in] *S points to an instance of the floating-point normalized LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_norm_f32(
-  arm_lms_norm_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pRef,
-  float32_t * pOut,
-  float32_t * pErr,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for floating-point normalized LMS filter.
-   * @param[in] *S points to an instance of the floating-point LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_norm_init_f32(
-  arm_lms_norm_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  float32_t mu,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Instance structure for the Q31 normalized LMS filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;     /**< number of coefficients in the filter. */
-    q31_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q31_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */
-    q31_t mu;             /**< step size that controls filter coefficient updates. */
-    uint8_t postShift;    /**< bit shift applied to coefficients. */
-    q31_t *recipTable;    /**< points to the reciprocal initial value table. */
-    q31_t energy;         /**< saves previous frame energy. */
-    q31_t x0;             /**< saves previous input sample. */
-  } arm_lms_norm_instance_q31;
-
-  /**
-   * @brief Processing function for Q31 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q31 normalized LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_norm_q31(
-  arm_lms_norm_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pRef,
-  q31_t * pOut,
-  q31_t * pErr,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for Q31 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q31 normalized LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return none.
-   */
-
-  void arm_lms_norm_init_q31(
-  arm_lms_norm_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  q31_t mu,
-  uint32_t blockSize,
-  uint8_t postShift);
-
-  /**
-   * @brief Instance structure for the Q15 normalized LMS filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;    /**< Number of coefficients in the filter. */
-    q15_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q15_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */
-    q15_t mu;            /**< step size that controls filter coefficient updates. */
-    uint8_t postShift;   /**< bit shift applied to coefficients. */
-    q15_t *recipTable;   /**< Points to the reciprocal initial value table. */
-    q15_t energy;        /**< saves previous frame energy. */
-    q15_t x0;            /**< saves previous input sample. */
-  } arm_lms_norm_instance_q15;
-
-  /**
-   * @brief Processing function for Q15 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q15 normalized LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_norm_q15(
-  arm_lms_norm_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pRef,
-  q15_t * pOut,
-  q15_t * pErr,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Initialization function for Q15 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q15 normalized LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return none.
-   */
-
-  void arm_lms_norm_init_q15(
-  arm_lms_norm_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  q15_t mu,
-  uint32_t blockSize,
-  uint8_t postShift);
-
-  /**
-   * @brief Correlation of floating-point sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst);
-
-
-   /**
-   * @brief Correlation of Q15 sequences
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @return none.
-   */
-  void arm_correlate_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch);
-
-
-  /**
-   * @brief Correlation of Q15 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst);
-
-  /**
-   * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_fast_q15(
-			       q15_t * pSrcA,
-			      uint32_t srcALen,
-			       q15_t * pSrcB,
-			      uint32_t srcBLen,
-			      q15_t * pDst);
-
-
-
-  /**
-   * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @return none.
-   */
-
-  void arm_correlate_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch);
-
-  /**
-   * @brief Correlation of Q31 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst);
-
-  /**
-   * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst);
-
-
-
- /**
-   * @brief Correlation of Q7 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
-   * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
-   * @return none.
-   */
-
-  void arm_correlate_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-  /**
-   * @brief Correlation of Q7 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst);
-
-
-  /**
-   * @brief Instance structure for the floating-point sparse FIR filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;             /**< number of coefficients in the filter. */
-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
-    float32_t *pState;            /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
-    float32_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
-  } arm_fir_sparse_instance_f32;
-
-  /**
-   * @brief Instance structure for the Q31 sparse FIR filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;             /**< number of coefficients in the filter. */
-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
-    q31_t *pState;                /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
-    q31_t *pCoeffs;               /**< points to the coefficient array. The array is of length numTaps.*/
-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
-  } arm_fir_sparse_instance_q31;
-
-  /**
-   * @brief Instance structure for the Q15 sparse FIR filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;             /**< number of coefficients in the filter. */
-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
-    q15_t *pState;                /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
-    q15_t *pCoeffs;               /**< points to the coefficient array. The array is of length numTaps.*/
-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
-  } arm_fir_sparse_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q7 sparse FIR filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;             /**< number of coefficients in the filter. */
-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
-    q7_t *pState;                 /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
-    q7_t *pCoeffs;                /**< points to the coefficient array. The array is of length numTaps.*/
-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
-  } arm_fir_sparse_instance_q7;
-
-  /**
-   * @brief Processing function for the floating-point sparse FIR filter.
-   * @param[in]  *S          points to an instance of the floating-point sparse FIR structure.
-   * @param[in]  *pSrc       points to the block of input data.
-   * @param[out] *pDst       points to the block of output data
-   * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.
-   * @param[in]  blockSize   number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_sparse_f32(
-  arm_fir_sparse_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  float32_t * pScratchIn,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the floating-point sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the floating-point sparse FIR structure.
-   * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
-   * @param[in]     maxDelay   maximum offset time supported.
-   * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
-  void arm_fir_sparse_init_f32(
-  arm_fir_sparse_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q31 sparse FIR filter.
-   * @param[in]  *S          points to an instance of the Q31 sparse FIR structure.
-   * @param[in]  *pSrc       points to the block of input data.
-   * @param[out] *pDst       points to the block of output data
-   * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.
-   * @param[in]  blockSize   number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_sparse_q31(
-  arm_fir_sparse_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  q31_t * pScratchIn,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q31 sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the Q31 sparse FIR structure.
-   * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
-   * @param[in]     maxDelay   maximum offset time supported.
-   * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
-  void arm_fir_sparse_init_q31(
-  arm_fir_sparse_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q15 sparse FIR filter.
-   * @param[in]  *S           points to an instance of the Q15 sparse FIR structure.
-   * @param[in]  *pSrc        points to the block of input data.
-   * @param[out] *pDst        points to the block of output data
-   * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.
-   * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.
-   * @param[in]  blockSize    number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_sparse_q15(
-  arm_fir_sparse_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  q15_t * pScratchIn,
-  q31_t * pScratchOut,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the Q15 sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the Q15 sparse FIR structure.
-   * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
-   * @param[in]     maxDelay   maximum offset time supported.
-   * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
-  void arm_fir_sparse_init_q15(
-  arm_fir_sparse_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q7 sparse FIR filter.
-   * @param[in]  *S           points to an instance of the Q7 sparse FIR structure.
-   * @param[in]  *pSrc        points to the block of input data.
-   * @param[out] *pDst        points to the block of output data
-   * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.
-   * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.
-   * @param[in]  blockSize    number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_sparse_q7(
-  arm_fir_sparse_instance_q7 * S,
-  q7_t * pSrc,
-  q7_t * pDst,
-  q7_t * pScratchIn,
-  q31_t * pScratchOut,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q7 sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the Q7 sparse FIR structure.
-   * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
-   * @param[in]     maxDelay   maximum offset time supported.
-   * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
-  void arm_fir_sparse_init_q7(
-  arm_fir_sparse_instance_q7 * S,
-  uint16_t numTaps,
-  q7_t * pCoeffs,
-  q7_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize);
-
-
-  /*
-   * @brief  Floating-point sin_cos function.
-   * @param[in]  theta    input value in degrees
-   * @param[out] *pSinVal points to the processed sine output.
-   * @param[out] *pCosVal points to the processed cos output.
-   * @return none.
-   */
-
-  void arm_sin_cos_f32(
-  float32_t theta,
-  float32_t * pSinVal,
-  float32_t * pCcosVal);
-
-  /*
-   * @brief  Q31 sin_cos function.
-   * @param[in]  theta    scaled input value in degrees
-   * @param[out] *pSinVal points to the processed sine output.
-   * @param[out] *pCosVal points to the processed cosine output.
-   * @return none.
-   */
-
-  void arm_sin_cos_q31(
-  q31_t theta,
-  q31_t * pSinVal,
-  q31_t * pCosVal);
-
-
-  /**
-   * @brief  Floating-point complex conjugate.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_conj_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q31 complex conjugate.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_conj_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q15 complex conjugate.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_conj_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples);
-
-
-
-  /**
-   * @brief  Floating-point complex magnitude squared
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_squared_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q31 complex magnitude squared
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_squared_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q15 complex magnitude squared
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_squared_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples);
-
-
- /**
-   * @ingroup groupController
-   */
-
-  /**
-   * @defgroup PID PID Motor Control
-   *
-   * A Proportional Integral Derivative (PID) controller is a generic feedback control
-   * loop mechanism widely used in industrial control systems.
-   * A PID controller is the most commonly used type of feedback controller.
-   *
-   * This set of functions implements (PID) controllers
-   * for Q15, Q31, and floating-point data types.  The functions operate on a single sample
-   * of data and each call to the function returns a single processed value.
-   * S points to an instance of the PID control data structure.  in
-   * is the input sample value. The functions return the output value.
-   *
-   * \par Algorithm:
-   * 
-   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
-   *    A0 = Kp + Ki + Kd
-   *    A1 = (-Kp ) - (2 * Kd )
-   *    A2 = Kd  

-   *
-   * \par
-   * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant
-   *
-   * \par
-   * \image html PID.gif "Proportional Integral Derivative Controller"
-   *
-   * \par
-   * The PID controller calculates an "error" value as the difference between
-   * the measured output and the reference input.
-   * The controller attempts to minimize the error by adjusting the process control inputs.
-   * The proportional value determines the reaction to the current error,
-   * the integral value determines the reaction based on the sum of recent errors,
-   * and the derivative value determines the reaction based on the rate at which the error has been changing.
-   *
-   * \par Instance Structure
-   * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure.
-   * A separate instance structure must be defined for each PID Controller.
-   * There are separate instance structure declarations for each of the 3 supported data types.
-   *
-   * \par Reset Functions
-   * There is also an associated reset function for each data type which clears the state array.
-   *
-   * \par Initialization Functions
-   * There is also an associated initialization function for each data type.
-   * The initialization function performs the following operations:
-   * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains.
-   * - Zeros out the values in the state buffer.
-   *
-   * \par
-   * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.
-   *
-   * \par Fixed-Point Behavior
-   * Care must be taken when using the fixed-point versions of the PID Controller functions.
-   * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
-   * Refer to the function specific documentation below for usage guidelines.
-   */
-
-  /**
-   * @addtogroup PID
-   * @{
-   */
-
-  /**
-   * @brief  Process function for the floating-point PID Control.
-   * @param[in,out] *S is an instance of the floating-point PID Control structure
-   * @param[in] in input sample to process
-   * @return out processed output sample.
-   */
-
-
-  static __INLINE float32_t arm_pid_f32(
-  arm_pid_instance_f32 * S,
-  float32_t in)
-  {
-    float32_t out;
-
-    /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]  */
-    out = (S->A0 * in) +
-      (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]);
-
-    /* Update state */
-    S->state[1] = S->state[0];
-    S->state[0] = in;
-    S->state[2] = out;
-
-    /* return to application */
-    return (out);
-
-  }
-
-  /**
-   * @brief  Process function for the Q31 PID Control.
-   * @param[in,out] *S points to an instance of the Q31 PID Control structure
-   * @param[in] in input sample to process
-   * @return out processed output sample.
-   *
-   * Scaling and Overflow Behavior:
-   * \par
-   * The function is implemented using an internal 64-bit accumulator.
-   * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
-   * Thus, if the accumulator result overflows it wraps around rather than clip.
-   * In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions.
-   * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
-   */
-
-  static __INLINE q31_t arm_pid_q31(
-  arm_pid_instance_q31 * S,
-  q31_t in)
-  {
-    q63_t acc;
-    q31_t out;
-
-    /* acc = A0 * x[n]  */
-    acc = (q63_t) S->A0 * in;
-
-    /* acc += A1 * x[n-1] */
-    acc += (q63_t) S->A1 * S->state[0];
-
-    /* acc += A2 * x[n-2]  */
-    acc += (q63_t) S->A2 * S->state[1];
-
-    /* convert output to 1.31 format to add y[n-1] */
-    out = (q31_t) (acc >> 31u);
-
-    /* out += y[n-1] */
-    out += S->state[2];
-
-    /* Update state */
-    S->state[1] = S->state[0];
-    S->state[0] = in;
-    S->state[2] = out;
-
-    /* return to application */
-    return (out);
-
-  }
-
-  /**
-   * @brief  Process function for the Q15 PID Control.
-   * @param[in,out] *S points to an instance of the Q15 PID Control structure
-   * @param[in] in input sample to process
-   * @return out processed output sample.
-   *
-   * Scaling and Overflow Behavior:
-   * \par
-   * The function is implemented using a 64-bit internal accumulator.
-   * Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
-   * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
-   * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
-   * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
-   * Lastly, the accumulator is saturated to yield a result in 1.15 format.
-   */
-
-  static __INLINE q15_t arm_pid_q15(
-  arm_pid_instance_q15 * S,
-  q15_t in)
-  {
-    q63_t acc;
-    q15_t out;
-
-#ifndef ARM_MATH_CM0_FAMILY
-    __SIMD32_TYPE *vstate;
-
-    /* Implementation of PID controller */
-
-    /* acc = A0 * x[n]  */
-    acc = (q31_t) __SMUAD(S->A0, in);
-
-    /* acc += A1 * x[n-1] + A2 * x[n-2]  */
-    vstate = __SIMD32_CONST(S->state);
-    acc = __SMLALD(S->A1, (q31_t) *vstate, acc);
-
-#else
-    /* acc = A0 * x[n]  */
-    acc = ((q31_t) S->A0) * in;
-
-    /* acc += A1 * x[n-1] + A2 * x[n-2]  */
-    acc += (q31_t) S->A1 * S->state[0];
-    acc += (q31_t) S->A2 * S->state[1];
-
-#endif
-
-    /* acc += y[n-1] */
-    acc += (q31_t) S->state[2] << 15;
-
-    /* saturate the output */
-    out = (q15_t) (__SSAT((acc >> 15), 16));
-
-    /* Update state */
-    S->state[1] = S->state[0];
-    S->state[0] = in;
-    S->state[2] = out;
-
-    /* return to application */
-    return (out);
-
-  }
-
-  /**
-   * @} end of PID group
-   */
-
-
-  /**
-   * @brief Floating-point matrix inverse.
-   * @param[in]  *src points to the instance of the input floating-point matrix structure.
-   * @param[out] *dst points to the instance of the output floating-point matrix structure.
-   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
-   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
-   */
-
-  arm_status arm_mat_inverse_f32(
-  const arm_matrix_instance_f32 * src,
-  arm_matrix_instance_f32 * dst);
-
-
-  /**
-   * @brief Floating-point matrix inverse.
-   * @param[in]  *src points to the instance of the input floating-point matrix structure.
-   * @param[out] *dst points to the instance of the output floating-point matrix structure.
-   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
-   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
-   */
-
-  arm_status arm_mat_inverse_f64(
-  const arm_matrix_instance_f64 * src,
-  arm_matrix_instance_f64 * dst);
-
-
-
-  /**
-   * @ingroup groupController
-   */
-
-
-  /**
-   * @defgroup clarke Vector Clarke Transform
-   * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector.
-   * Generally the Clarke transform uses three-phase currents Ia, Ib and Ic to calculate currents
-   * in the two-phase orthogonal stator axis Ialpha and Ibeta.
-   * When Ialpha is superposed with Ia as shown in the figure below
-   * \image html clarke.gif Stator current space vector and its components in (a,b).
-   * and Ia + Ib + Ic = 0, in this condition Ialpha and Ibeta
-   * can be calculated using only Ia and Ib.
-   *
-   * The function operates on a single sample of data and each call to the function returns the processed output.
-   * The library provides separate functions for Q31 and floating-point data types.
-   * \par Algorithm
-   * \image html clarkeFormula.gif
-   * where Ia and Ib are the instantaneous stator phases and
-   * pIalpha and pIbeta are the two coordinates of time invariant vector.
-   * \par Fixed-Point Behavior
-   * Care must be taken when using the Q31 version of the Clarke transform.
-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
-   * Refer to the function specific documentation below for usage guidelines.
-   */
-
-  /**
-   * @addtogroup clarke
-   * @{
-   */
-
-  /**
-   *
-   * @brief  Floating-point Clarke transform
-   * @param[in]       Ia       input three-phase coordinate a
-   * @param[in]       Ib       input three-phase coordinate b
-   * @param[out]      *pIalpha points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta  points to output two-phase orthogonal vector axis beta
-   * @return none.
-   */
-
-  static __INLINE void arm_clarke_f32(
-  float32_t Ia,
-  float32_t Ib,
-  float32_t * pIalpha,
-  float32_t * pIbeta)
-  {
-    /* Calculate pIalpha using the equation, pIalpha = Ia */
-    *pIalpha = Ia;
-
-    /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */
-    *pIbeta =
-      ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib);
-
-  }
-
-  /**
-   * @brief  Clarke transform for Q31 version
-   * @param[in]       Ia       input three-phase coordinate a
-   * @param[in]       Ib       input three-phase coordinate b
-   * @param[out]      *pIalpha points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta  points to output two-phase orthogonal vector axis beta
-   * @return none.
-   *
-   * Scaling and Overflow Behavior:
-   * \par
-   * The function is implemented using an internal 32-bit accumulator.
-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
-   * There is saturation on the addition, hence there is no risk of overflow.
-   */
-
-  static __INLINE void arm_clarke_q31(
-  q31_t Ia,
-  q31_t Ib,
-  q31_t * pIalpha,
-  q31_t * pIbeta)
-  {
-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
-
-    /* Calculating pIalpha from Ia by equation pIalpha = Ia */
-    *pIalpha = Ia;
-
-    /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */
-    product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30);
-
-    /* Intermediate product is calculated by (2/sqrt(3) * Ib) */
-    product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30);
-
-    /* pIbeta is calculated by adding the intermediate products */
-    *pIbeta = __QADD(product1, product2);
-  }
-
-  /**
-   * @} end of clarke group
-   */
-
-  /**
-   * @brief  Converts the elements of the Q7 vector to Q31 vector.
-   * @param[in]  *pSrc     input pointer
-   * @param[out]  *pDst    output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_q7_to_q31(
-  q7_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-
-
-
-  /**
-   * @ingroup groupController
-   */
-
-  /**
-   * @defgroup inv_clarke Vector Inverse Clarke Transform
-   * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.
-   *
-   * The function operates on a single sample of data and each call to the function returns the processed output.
-   * The library provides separate functions for Q31 and floating-point data types.
-   * \par Algorithm
-   * \image html clarkeInvFormula.gif
-   * where pIa and pIb are the instantaneous stator phases and
-   * Ialpha and Ibeta are the two coordinates of time invariant vector.
-   * \par Fixed-Point Behavior
-   * Care must be taken when using the Q31 version of the Clarke transform.
-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
-   * Refer to the function specific documentation below for usage guidelines.
-   */
-
-  /**
-   * @addtogroup inv_clarke
-   * @{
-   */
-
-   /**
-   * @brief  Floating-point Inverse Clarke transform
-   * @param[in]       Ialpha  input two-phase orthogonal vector axis alpha
-   * @param[in]       Ibeta   input two-phase orthogonal vector axis beta
-   * @param[out]      *pIa    points to output three-phase coordinate a
-   * @param[out]      *pIb    points to output three-phase coordinate b
-   * @return none.
-   */
-
-
-  static __INLINE void arm_inv_clarke_f32(
-  float32_t Ialpha,
-  float32_t Ibeta,
-  float32_t * pIa,
-  float32_t * pIb)
-  {
-    /* Calculating pIa from Ialpha by equation pIa = Ialpha */
-    *pIa = Ialpha;
-
-    /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */
-    *pIb = -0.5 * Ialpha + (float32_t) 0.8660254039 *Ibeta;
-
-  }
-
-  /**
-   * @brief  Inverse Clarke transform for Q31 version
-   * @param[in]       Ialpha  input two-phase orthogonal vector axis alpha
-   * @param[in]       Ibeta   input two-phase orthogonal vector axis beta
-   * @param[out]      *pIa    points to output three-phase coordinate a
-   * @param[out]      *pIb    points to output three-phase coordinate b
-   * @return none.
-   *
-   * Scaling and Overflow Behavior:
-   * \par
-   * The function is implemented using an internal 32-bit accumulator.
-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
-   * There is saturation on the subtraction, hence there is no risk of overflow.
-   */
-
-  static __INLINE void arm_inv_clarke_q31(
-  q31_t Ialpha,
-  q31_t Ibeta,
-  q31_t * pIa,
-  q31_t * pIb)
-  {
-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
-
-    /* Calculating pIa from Ialpha by equation pIa = Ialpha */
-    *pIa = Ialpha;
-
-    /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */
-    product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31);
-
-    /* Intermediate product is calculated by (1/sqrt(3) * pIb) */
-    product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31);
-
-    /* pIb is calculated by subtracting the products */
-    *pIb = __QSUB(product2, product1);
-
-  }
-
-  /**
-   * @} end of inv_clarke group
-   */
-
-  /**
-   * @brief  Converts the elements of the Q7 vector to Q15 vector.
-   * @param[in]  *pSrc     input pointer
-   * @param[out] *pDst     output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_q7_to_q15(
-  q7_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-
-
-  /**
-   * @ingroup groupController
-   */
-
-  /**
-   * @defgroup park Vector Park Transform
-   *
-   * Forward Park transform converts the input two-coordinate vector to flux and torque components.
-   * The Park transform can be used to realize the transformation of the Ialpha and the Ibeta currents
-   * from the stationary to the moving reference frame and control the spatial relationship between
-   * the stator vector current and rotor flux vector.
-   * If we consider the d axis aligned with the rotor flux, the diagram below shows the
-   * current vector and the relationship from the two reference frames:
-   * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame"
-   *
-   * The function operates on a single sample of data and each call to the function returns the processed output.
-   * The library provides separate functions for Q31 and floating-point data types.
-   * \par Algorithm
-   * \image html parkFormula.gif
-   * where Ialpha and Ibeta are the stator vector components,
-   * pId and pIq are rotor vector components and cosVal and sinVal are the
-   * cosine and sine values of theta (rotor flux position).
-   * \par Fixed-Point Behavior
-   * Care must be taken when using the Q31 version of the Park transform.
-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
-   * Refer to the function specific documentation below for usage guidelines.
-   */
-
-  /**
-   * @addtogroup park
-   * @{
-   */
-
-  /**
-   * @brief Floating-point Park transform
-   * @param[in]       Ialpha input two-phase vector coordinate alpha
-   * @param[in]       Ibeta  input two-phase vector coordinate beta
-   * @param[out]      *pId   points to output	rotor reference frame d
-   * @param[out]      *pIq   points to output	rotor reference frame q
-   * @param[in]       sinVal sine value of rotation angle theta
-   * @param[in]       cosVal cosine value of rotation angle theta
-   * @return none.
-   *
-   * The function implements the forward Park transform.
-   *
-   */
-
-  static __INLINE void arm_park_f32(
-  float32_t Ialpha,
-  float32_t Ibeta,
-  float32_t * pId,
-  float32_t * pIq,
-  float32_t sinVal,
-  float32_t cosVal)
-  {
-    /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */
-    *pId = Ialpha * cosVal + Ibeta * sinVal;
-
-    /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */
-    *pIq = -Ialpha * sinVal + Ibeta * cosVal;
-
-  }
-
-  /**
-   * @brief  Park transform for Q31 version
-   * @param[in]       Ialpha input two-phase vector coordinate alpha
-   * @param[in]       Ibeta  input two-phase vector coordinate beta
-   * @param[out]      *pId   points to output rotor reference frame d
-   * @param[out]      *pIq   points to output rotor reference frame q
-   * @param[in]       sinVal sine value of rotation angle theta
-   * @param[in]       cosVal cosine value of rotation angle theta
-   * @return none.
-   *
-   * Scaling and Overflow Behavior:
-   * \par
-   * The function is implemented using an internal 32-bit accumulator.
-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
-   * There is saturation on the addition and subtraction, hence there is no risk of overflow.
-   */
-
-
-  static __INLINE void arm_park_q31(
-  q31_t Ialpha,
-  q31_t Ibeta,
-  q31_t * pId,
-  q31_t * pIq,
-  q31_t sinVal,
-  q31_t cosVal)
-  {
-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
-    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */
-
-    /* Intermediate product is calculated by (Ialpha * cosVal) */
-    product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31);
-
-    /* Intermediate product is calculated by (Ibeta * sinVal) */
-    product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31);
-
-
-    /* Intermediate product is calculated by (Ialpha * sinVal) */
-    product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31);
-
-    /* Intermediate product is calculated by (Ibeta * cosVal) */
-    product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31);
-
-    /* Calculate pId by adding the two intermediate products 1 and 2 */
-    *pId = __QADD(product1, product2);
-
-    /* Calculate pIq by subtracting the two intermediate products 3 from 4 */
-    *pIq = __QSUB(product4, product3);
-  }
-
-  /**
-   * @} end of park group
-   */
-
-  /**
-   * @brief  Converts the elements of the Q7 vector to floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q7_to_float(
-  q7_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @ingroup groupController
-   */
-
-  /**
-   * @defgroup inv_park Vector Inverse Park transform
-   * Inverse Park transform converts the input flux and torque components to two-coordinate vector.
-   *
-   * The function operates on a single sample of data and each call to the function returns the processed output.
-   * The library provides separate functions for Q31 and floating-point data types.
-   * \par Algorithm
-   * \image html parkInvFormula.gif
-   * where pIalpha and pIbeta are the stator vector components,
-   * Id and Iq are rotor vector components and cosVal and sinVal are the
-   * cosine and sine values of theta (rotor flux position).
-   * \par Fixed-Point Behavior
-   * Care must be taken when using the Q31 version of the Park transform.
-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
-   * Refer to the function specific documentation below for usage guidelines.
-   */
-
-  /**
-   * @addtogroup inv_park
-   * @{
-   */
-
-   /**
-   * @brief  Floating-point Inverse Park transform
-   * @param[in]       Id        input coordinate of rotor reference frame d
-   * @param[in]       Iq        input coordinate of rotor reference frame q
-   * @param[out]      *pIalpha  points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta   points to output two-phase orthogonal vector axis beta
-   * @param[in]       sinVal    sine value of rotation angle theta
-   * @param[in]       cosVal    cosine value of rotation angle theta
-   * @return none.
-   */
-
-  static __INLINE void arm_inv_park_f32(
-  float32_t Id,
-  float32_t Iq,
-  float32_t * pIalpha,
-  float32_t * pIbeta,
-  float32_t sinVal,
-  float32_t cosVal)
-  {
-    /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */
-    *pIalpha = Id * cosVal - Iq * sinVal;
-
-    /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */
-    *pIbeta = Id * sinVal + Iq * cosVal;
-
-  }
-
-
-  /**
-   * @brief  Inverse Park transform for	Q31 version
-   * @param[in]       Id        input coordinate of rotor reference frame d
-   * @param[in]       Iq        input coordinate of rotor reference frame q
-   * @param[out]      *pIalpha  points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta   points to output two-phase orthogonal vector axis beta
-   * @param[in]       sinVal    sine value of rotation angle theta
-   * @param[in]       cosVal    cosine value of rotation angle theta
-   * @return none.
-   *
-   * Scaling and Overflow Behavior:
-   * \par
-   * The function is implemented using an internal 32-bit accumulator.
-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
-   * There is saturation on the addition, hence there is no risk of overflow.
-   */
-
-
-  static __INLINE void arm_inv_park_q31(
-  q31_t Id,
-  q31_t Iq,
-  q31_t * pIalpha,
-  q31_t * pIbeta,
-  q31_t sinVal,
-  q31_t cosVal)
-  {
-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
-    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */
-
-    /* Intermediate product is calculated by (Id * cosVal) */
-    product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31);
-
-    /* Intermediate product is calculated by (Iq * sinVal) */
-    product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31);
-
-
-    /* Intermediate product is calculated by (Id * sinVal) */
-    product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31);
-
-    /* Intermediate product is calculated by (Iq * cosVal) */
-    product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31);
-
-    /* Calculate pIalpha by using the two intermediate products 1 and 2 */
-    *pIalpha = __QSUB(product1, product2);
-
-    /* Calculate pIbeta by using the two intermediate products 3 and 4 */
-    *pIbeta = __QADD(product4, product3);
-
-  }
-
-  /**
-   * @} end of Inverse park group
-   */
-
-
-  /**
-   * @brief  Converts the elements of the Q31 vector to floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q31_to_float(
-  q31_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @ingroup groupInterpolation
-   */
-
-  /**
-   * @defgroup LinearInterpolate Linear Interpolation
-   *
-   * Linear interpolation is a method of curve fitting using linear polynomials.
-   * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line
-   *
-   * \par
-   * \image html LinearInterp.gif "Linear interpolation"
-   *
-   * \par
-   * A  Linear Interpolate function calculates an output value(y), for the input(x)
-   * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values)
-   *
-   * \par Algorithm:
-   * 
-   *       y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))
-   *       where x0, x1 are nearest values of input x
-   *             y0, y1 are nearest values to output y
-   * 

-   *
-   * \par
-   * This set of functions implements Linear interpolation process
-   * for Q7, Q15, Q31, and floating-point data types.  The functions operate on a single
-   * sample of data and each call to the function returns a single processed value.
-   * S points to an instance of the Linear Interpolate function data structure.
-   * x is the input sample value. The functions returns the output value.
-   *
-   * \par
-   * if x is outside of the table boundary, Linear interpolation returns first value of the table
-   * if x is below input range and returns last value of table if x is above range.
-   */
-
-  /**
-   * @addtogroup LinearInterpolate
-   * @{
-   */
-
-  /**
-   * @brief  Process function for the floating-point Linear Interpolation Function.
-   * @param[in,out] *S is an instance of the floating-point Linear Interpolation structure
-   * @param[in] x input sample to process
-   * @return y processed output sample.
-   *
-   */
-
-  static __INLINE float32_t arm_linear_interp_f32(
-  arm_linear_interp_instance_f32 * S,
-  float32_t x)
-  {
-
-    float32_t y;
-    float32_t x0, x1;                            /* Nearest input values */
-    float32_t y0, y1;                            /* Nearest output values */
-    float32_t xSpacing = S->xSpacing;            /* spacing between input values */
-    int32_t i;                                   /* Index variable */
-    float32_t *pYData = S->pYData;               /* pointer to output table */
-
-    /* Calculation of index */
-    i = (int32_t) ((x - S->x1) / xSpacing);
-
-    if(i < 0)
-    {
-      /* Iniatilize output for below specified range as least output value of table */
-      y = pYData[0];
-    }
-    else if((uint32_t)i >= S->nValues)
-    {
-      /* Iniatilize output for above specified range as last output value of table */
-      y = pYData[S->nValues - 1];
-    }
-    else
-    {
-      /* Calculation of nearest input values */
-      x0 = S->x1 + i * xSpacing;
-      x1 = S->x1 + (i + 1) * xSpacing;
-
-      /* Read of nearest output values */
-      y0 = pYData[i];
-      y1 = pYData[i + 1];
-
-      /* Calculation of output */
-      y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0));
-
-    }
-
-    /* returns output value */
-    return (y);
-  }
-
-   /**
-   *
-   * @brief  Process function for the Q31 Linear Interpolation Function.
-   * @param[in] *pYData  pointer to Q31 Linear Interpolation table
-   * @param[in] x input sample to process
-   * @param[in] nValues number of table values
-   * @return y processed output sample.
-   *
-   * \par
-   * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
-   * This function can support maximum of table size 2^12.
-   *
-   */
-
-
-  static __INLINE q31_t arm_linear_interp_q31(
-  q31_t * pYData,
-  q31_t x,
-  uint32_t nValues)
-  {
-    q31_t y;                                     /* output */
-    q31_t y0, y1;                                /* Nearest output values */
-    q31_t fract;                                 /* fractional part */
-    int32_t index;                               /* Index to read nearest output values */
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    index = ((x & 0xFFF00000) >> 20);
-
-    if(index >= (int32_t)(nValues - 1))
-    {
-      return (pYData[nValues - 1]);
-    }
-    else if(index < 0)
-    {
-      return (pYData[0]);
-    }
-    else
-    {
-
-      /* 20 bits for the fractional part */
-      /* shift left by 11 to keep fract in 1.31 format */
-      fract = (x & 0x000FFFFF) << 11;
-
-      /* Read two nearest output values from the index in 1.31(q31) format */
-      y0 = pYData[index];
-      y1 = pYData[index + 1u];
-
-      /* Calculation of y0 * (1-fract) and y is in 2.30 format */
-      y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32));
-
-      /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */
-      y += ((q31_t) (((q63_t) y1 * fract) >> 32));
-
-      /* Convert y to 1.31 format */
-      return (y << 1u);
-
-    }
-
-  }
-
-  /**
-   *
-   * @brief  Process function for the Q15 Linear Interpolation Function.
-   * @param[in] *pYData  pointer to Q15 Linear Interpolation table
-   * @param[in] x input sample to process
-   * @param[in] nValues number of table values
-   * @return y processed output sample.
-   *
-   * \par
-   * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
-   * This function can support maximum of table size 2^12.
-   *
-   */
-
-
-  static __INLINE q15_t arm_linear_interp_q15(
-  q15_t * pYData,
-  q31_t x,
-  uint32_t nValues)
-  {
-    q63_t y;                                     /* output */
-    q15_t y0, y1;                                /* Nearest output values */
-    q31_t fract;                                 /* fractional part */
-    int32_t index;                               /* Index to read nearest output values */
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    index = ((x & 0xFFF00000) >> 20u);
-
-    if(index >= (int32_t)(nValues - 1))
-    {
-      return (pYData[nValues - 1]);
-    }
-    else if(index < 0)
-    {
-      return (pYData[0]);
-    }
-    else
-    {
-      /* 20 bits for the fractional part */
-      /* fract is in 12.20 format */
-      fract = (x & 0x000FFFFF);
-
-      /* Read two nearest output values from the index */
-      y0 = pYData[index];
-      y1 = pYData[index + 1u];
-
-      /* Calculation of y0 * (1-fract) and y is in 13.35 format */
-      y = ((q63_t) y0 * (0xFFFFF - fract));
-
-      /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */
-      y += ((q63_t) y1 * (fract));
-
-      /* convert y to 1.15 format */
-      return (y >> 20);
-    }
-
-
-  }
-
-  /**
-   *
-   * @brief  Process function for the Q7 Linear Interpolation Function.
-   * @param[in] *pYData  pointer to Q7 Linear Interpolation table
-   * @param[in] x input sample to process
-   * @param[in] nValues number of table values
-   * @return y processed output sample.
-   *
-   * \par
-   * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
-   * This function can support maximum of table size 2^12.
-   */
-
-
-  static __INLINE q7_t arm_linear_interp_q7(
-  q7_t * pYData,
-  q31_t x,
-  uint32_t nValues)
-  {
-    q31_t y;                                     /* output */
-    q7_t y0, y1;                                 /* Nearest output values */
-    q31_t fract;                                 /* fractional part */
-    uint32_t index;                              /* Index to read nearest output values */
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    if (x < 0)
-    {
-      return (pYData[0]);
-    }
-    index = (x >> 20) & 0xfff;
-
-
-    if(index >= (nValues - 1))
-    {
-      return (pYData[nValues - 1]);
-    }
-    else
-    {
-
-      /* 20 bits for the fractional part */
-      /* fract is in 12.20 format */
-      fract = (x & 0x000FFFFF);
-
-      /* Read two nearest output values from the index and are in 1.7(q7) format */
-      y0 = pYData[index];
-      y1 = pYData[index + 1u];
-
-      /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */
-      y = ((y0 * (0xFFFFF - fract)));
-
-      /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */
-      y += (y1 * fract);
-
-      /* convert y to 1.7(q7) format */
-      return (y >> 20u);
-
-    }
-
-  }
-  /**
-   * @} end of LinearInterpolate group
-   */
-
-  /**
-   * @brief  Fast approximation to the trigonometric sine function for floating-point data.
-   * @param[in] x input value in radians.
-   * @return  sin(x).
-   */
-
-  float32_t arm_sin_f32(
-  float32_t x);
-
-  /**
-   * @brief  Fast approximation to the trigonometric sine function for Q31 data.
-   * @param[in] x Scaled input value in radians.
-   * @return  sin(x).
-   */
-
-  q31_t arm_sin_q31(
-  q31_t x);
-
-  /**
-   * @brief  Fast approximation to the trigonometric sine function for Q15 data.
-   * @param[in] x Scaled input value in radians.
-   * @return  sin(x).
-   */
-
-  q15_t arm_sin_q15(
-  q15_t x);
-
-  /**
-   * @brief  Fast approximation to the trigonometric cosine function for floating-point data.
-   * @param[in] x input value in radians.
-   * @return  cos(x).
-   */
-
-  float32_t arm_cos_f32(
-  float32_t x);
-
-  /**
-   * @brief Fast approximation to the trigonometric cosine function for Q31 data.
-   * @param[in] x Scaled input value in radians.
-   * @return  cos(x).
-   */
-
-  q31_t arm_cos_q31(
-  q31_t x);
-
-  /**
-   * @brief  Fast approximation to the trigonometric cosine function for Q15 data.
-   * @param[in] x Scaled input value in radians.
-   * @return  cos(x).
-   */
-
-  q15_t arm_cos_q15(
-  q15_t x);
-
-
-  /**
-   * @ingroup groupFastMath
-   */
-
-
-  /**
-   * @defgroup SQRT Square Root
-   *
-   * Computes the square root of a number.
-   * There are separate functions for Q15, Q31, and floating-point data types.
-   * The square root function is computed using the Newton-Raphson algorithm.
-   * This is an iterative algorithm of the form:
-   * 
-   *      x1 = x0 - f(x0)/f'(x0)
-   * 

-   * where x1 is the current estimate,
-   * x0 is the previous estimate, and
-   * f'(x0) is the derivative of f() evaluated at x0.
-   * For the square root function, the algorithm reduces to:
-   * 
-   *     x0 = in/2                         [initial guess]
-   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]
-   * 

-   */
-
-
-  /**
-   * @addtogroup SQRT
-   * @{
-   */
-
-  /**
-   * @brief  Floating-point square root function.
-   * @param[in]  in     input value.
-   * @param[out] *pOut  square root of input value.
-   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
-   * in is negative value and returns zero output for negative values.
-   */
-
-  static __INLINE arm_status arm_sqrt_f32(
-  float32_t in,
-  float32_t * pOut)
-  {
-    if(in >= 0.0f)
-    {
-
-//      #if __FPU_USED
-#if (__FPU_USED == 1) && defined ( __CC_ARM   )
-      *pOut = __sqrtf(in);
-#else
-      *pOut = sqrtf(in);
-#endif
-
-      return (ARM_MATH_SUCCESS);
-    }
-    else
-    {
-      *pOut = 0.0f;
-      return (ARM_MATH_ARGUMENT_ERROR);
-    }
-
-  }
-
-
-  /**
-   * @brief Q31 square root function.
-   * @param[in]   in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.
-   * @param[out]  *pOut square root of input value.
-   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
-   * in is negative value and returns zero output for negative values.
-   */
-  arm_status arm_sqrt_q31(
-  q31_t in,
-  q31_t * pOut);
-
-  /**
-   * @brief  Q15 square root function.
-   * @param[in]   in     input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF.
-   * @param[out]  *pOut  square root of input value.
-   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
-   * in is negative value and returns zero output for negative values.
-   */
-  arm_status arm_sqrt_q15(
-  q15_t in,
-  q15_t * pOut);
-
-  /**
-   * @} end of SQRT group
-   */
-
-
-
-
-
-
-  /**
-   * @brief floating-point Circular write function.
-   */
-
-  static __INLINE void arm_circularWrite_f32(
-  int32_t * circBuffer,
-  int32_t L,
-  uint16_t * writeOffset,
-  int32_t bufferInc,
-  const int32_t * src,
-  int32_t srcInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0u;
-    int32_t wOffset;
-
-    /* Copy the value of Index pointer that points
-     * to the current location where the input samples to be copied */
-    wOffset = *writeOffset;
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the input sample to the circular buffer */
-      circBuffer[wOffset] = *src;
-
-      /* Update the input pointer */
-      src += srcInc;
-
-      /* Circularly update wOffset.  Watch out for positive and negative value */
-      wOffset += bufferInc;
-      if(wOffset >= L)
-        wOffset -= L;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *writeOffset = wOffset;
-  }
-
-
-
-  /**
-   * @brief floating-point Circular Read function.
-   */
-  static __INLINE void arm_circularRead_f32(
-  int32_t * circBuffer,
-  int32_t L,
-  int32_t * readOffset,
-  int32_t bufferInc,
-  int32_t * dst,
-  int32_t * dst_base,
-  int32_t dst_length,
-  int32_t dstInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0u;
-    int32_t rOffset, dst_end;
-
-    /* Copy the value of Index pointer that points
-     * to the current location from where the input samples to be read */
-    rOffset = *readOffset;
-    dst_end = (int32_t) (dst_base + dst_length);
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the sample from the circular buffer to the destination buffer */
-      *dst = circBuffer[rOffset];
-
-      /* Update the input pointer */
-      dst += dstInc;
-
-      if(dst == (int32_t *) dst_end)
-      {
-        dst = dst_base;
-      }
-
-      /* Circularly update rOffset.  Watch out for positive and negative value  */
-      rOffset += bufferInc;
-
-      if(rOffset >= L)
-      {
-        rOffset -= L;
-      }
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *readOffset = rOffset;
-  }
-
-  /**
-   * @brief Q15 Circular write function.
-   */
-
-  static __INLINE void arm_circularWrite_q15(
-  q15_t * circBuffer,
-  int32_t L,
-  uint16_t * writeOffset,
-  int32_t bufferInc,
-  const q15_t * src,
-  int32_t srcInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0u;
-    int32_t wOffset;
-
-    /* Copy the value of Index pointer that points
-     * to the current location where the input samples to be copied */
-    wOffset = *writeOffset;
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the input sample to the circular buffer */
-      circBuffer[wOffset] = *src;
-
-      /* Update the input pointer */
-      src += srcInc;
-
-      /* Circularly update wOffset.  Watch out for positive and negative value */
-      wOffset += bufferInc;
-      if(wOffset >= L)
-        wOffset -= L;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *writeOffset = wOffset;
-  }
-
-
-
-  /**
-   * @brief Q15 Circular Read function.
-   */
-  static __INLINE void arm_circularRead_q15(
-  q15_t * circBuffer,
-  int32_t L,
-  int32_t * readOffset,
-  int32_t bufferInc,
-  q15_t * dst,
-  q15_t * dst_base,
-  int32_t dst_length,
-  int32_t dstInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0;
-    int32_t rOffset, dst_end;
-
-    /* Copy the value of Index pointer that points
-     * to the current location from where the input samples to be read */
-    rOffset = *readOffset;
-
-    dst_end = (int32_t) (dst_base + dst_length);
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the sample from the circular buffer to the destination buffer */
-      *dst = circBuffer[rOffset];
-
-      /* Update the input pointer */
-      dst += dstInc;
-
-      if(dst == (q15_t *) dst_end)
-      {
-        dst = dst_base;
-      }
-
-      /* Circularly update wOffset.  Watch out for positive and negative value */
-      rOffset += bufferInc;
-
-      if(rOffset >= L)
-      {
-        rOffset -= L;
-      }
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *readOffset = rOffset;
-  }
-
-
-  /**
-   * @brief Q7 Circular write function.
-   */
-
-  static __INLINE void arm_circularWrite_q7(
-  q7_t * circBuffer,
-  int32_t L,
-  uint16_t * writeOffset,
-  int32_t bufferInc,
-  const q7_t * src,
-  int32_t srcInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0u;
-    int32_t wOffset;
-
-    /* Copy the value of Index pointer that points
-     * to the current location where the input samples to be copied */
-    wOffset = *writeOffset;
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the input sample to the circular buffer */
-      circBuffer[wOffset] = *src;
-
-      /* Update the input pointer */
-      src += srcInc;
-
-      /* Circularly update wOffset.  Watch out for positive and negative value */
-      wOffset += bufferInc;
-      if(wOffset >= L)
-        wOffset -= L;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *writeOffset = wOffset;
-  }
-
-
-
-  /**
-   * @brief Q7 Circular Read function.
-   */
-  static __INLINE void arm_circularRead_q7(
-  q7_t * circBuffer,
-  int32_t L,
-  int32_t * readOffset,
-  int32_t bufferInc,
-  q7_t * dst,
-  q7_t * dst_base,
-  int32_t dst_length,
-  int32_t dstInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0;
-    int32_t rOffset, dst_end;
-
-    /* Copy the value of Index pointer that points
-     * to the current location from where the input samples to be read */
-    rOffset = *readOffset;
-
-    dst_end = (int32_t) (dst_base + dst_length);
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the sample from the circular buffer to the destination buffer */
-      *dst = circBuffer[rOffset];
-
-      /* Update the input pointer */
-      dst += dstInc;
-
-      if(dst == (q7_t *) dst_end)
-      {
-        dst = dst_base;
-      }
-
-      /* Circularly update rOffset.  Watch out for positive and negative value */
-      rOffset += bufferInc;
-
-      if(rOffset >= L)
-      {
-        rOffset -= L;
-      }
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *readOffset = rOffset;
-  }
-
-
-  /**
-   * @brief  Sum of the squares of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_power_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q63_t * pResult);
-
-  /**
-   * @brief  Sum of the squares of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_power_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult);
-
-  /**
-   * @brief  Sum of the squares of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_power_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q63_t * pResult);
-
-  /**
-   * @brief  Sum of the squares of the elements of a Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_power_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult);
-
-  /**
-   * @brief  Mean value of a Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_mean_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * pResult);
-
-  /**
-   * @brief  Mean value of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-  void arm_mean_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult);
-
-  /**
-   * @brief  Mean value of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-  void arm_mean_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult);
-
-  /**
-   * @brief  Mean value of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-  void arm_mean_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult);
-
-  /**
-   * @brief  Variance of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_var_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult);
-
-  /**
-   * @brief  Variance of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_var_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult);
-
-  /**
-   * @brief  Variance of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_var_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult);
-
-  /**
-   * @brief  Root Mean Square of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_rms_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult);
-
-  /**
-   * @brief  Root Mean Square of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_rms_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult);
-
-  /**
-   * @brief  Root Mean Square of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_rms_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult);
-
-  /**
-   * @brief  Standard deviation of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_std_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult);
-
-  /**
-   * @brief  Standard deviation of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_std_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult);
-
-  /**
-   * @brief  Standard deviation of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_std_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult);
-
-  /**
-   * @brief  Floating-point complex magnitude
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q31 complex magnitude
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q15 complex magnitude
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q15 complex dot product
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @param[out]  *realResult real part of the result returned here
-   * @param[out]  *imagResult imaginary part of the result returned here
-   * @return none.
-   */
-
-  void arm_cmplx_dot_prod_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  uint32_t numSamples,
-  q31_t * realResult,
-  q31_t * imagResult);
-
-  /**
-   * @brief  Q31 complex dot product
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @param[out]  *realResult real part of the result returned here
-   * @param[out]  *imagResult imaginary part of the result returned here
-   * @return none.
-   */
-
-  void arm_cmplx_dot_prod_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  uint32_t numSamples,
-  q63_t * realResult,
-  q63_t * imagResult);
-
-  /**
-   * @brief  Floating-point complex dot product
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @param[out]  *realResult real part of the result returned here
-   * @param[out]  *imagResult imaginary part of the result returned here
-   * @return none.
-   */
-
-  void arm_cmplx_dot_prod_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  uint32_t numSamples,
-  float32_t * realResult,
-  float32_t * imagResult);
-
-  /**
-   * @brief  Q15 complex-by-real multiplication
-   * @param[in]  *pSrcCmplx points to the complex input vector
-   * @param[in]  *pSrcReal points to the real input vector
-   * @param[out]  *pCmplxDst points to the complex output vector
-   * @param[in]  numSamples number of samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_real_q15(
-  q15_t * pSrcCmplx,
-  q15_t * pSrcReal,
-  q15_t * pCmplxDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q31 complex-by-real multiplication
-   * @param[in]  *pSrcCmplx points to the complex input vector
-   * @param[in]  *pSrcReal points to the real input vector
-   * @param[out]  *pCmplxDst points to the complex output vector
-   * @param[in]  numSamples number of samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_real_q31(
-  q31_t * pSrcCmplx,
-  q31_t * pSrcReal,
-  q31_t * pCmplxDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Floating-point complex-by-real multiplication
-   * @param[in]  *pSrcCmplx points to the complex input vector
-   * @param[in]  *pSrcReal points to the real input vector
-   * @param[out]  *pCmplxDst points to the complex output vector
-   * @param[in]  numSamples number of samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_real_f32(
-  float32_t * pSrcCmplx,
-  float32_t * pSrcReal,
-  float32_t * pCmplxDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Minimum value of a Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *result is output pointer
-   * @param[in]  index is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-
-  void arm_min_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * result,
-  uint32_t * index);
-
-  /**
-   * @brief  Minimum value of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output pointer
-   * @param[in]  *pIndex is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-
-  void arm_min_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult,
-  uint32_t * pIndex);
-
-  /**
-   * @brief  Minimum value of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output pointer
-   * @param[out]  *pIndex is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-  void arm_min_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult,
-  uint32_t * pIndex);
-
-  /**
-   * @brief  Minimum value of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output pointer
-   * @param[out]  *pIndex is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-
-  void arm_min_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult,
-  uint32_t * pIndex);
-
-/**
- * @brief Maximum value of a Q7 vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
- */
-
-  void arm_max_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * pResult,
-  uint32_t * pIndex);
-
-/**
- * @brief Maximum value of a Q15 vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
- */
-
-  void arm_max_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult,
-  uint32_t * pIndex);
-
-/**
- * @brief Maximum value of a Q31 vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
- */
-
-  void arm_max_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult,
-  uint32_t * pIndex);
-
-/**
- * @brief Maximum value of a floating-point vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
- */
-
-  void arm_max_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult,
-  uint32_t * pIndex);
-
-  /**
-   * @brief  Q15 complex-by-complex multiplication
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[out]  *pDst  points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_cmplx_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  q15_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q31 complex-by-complex multiplication
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[out]  *pDst  points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_cmplx_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  q31_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Floating-point complex-by-complex multiplication
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[out]  *pDst  points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_cmplx_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  float32_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief Converts the elements of the floating-point vector to Q31 vector.
-   * @param[in]       *pSrc points to the floating-point input vector
-   * @param[out]      *pDst points to the Q31 output vector
-   * @param[in]       blockSize length of the input vector
-   * @return none.
-   */
-  void arm_float_to_q31(
-  float32_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Converts the elements of the floating-point vector to Q15 vector.
-   * @param[in]       *pSrc points to the floating-point input vector
-   * @param[out]      *pDst points to the Q15 output vector
-   * @param[in]       blockSize length of the input vector
-   * @return          none
-   */
-  void arm_float_to_q15(
-  float32_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Converts the elements of the floating-point vector to Q7 vector.
-   * @param[in]       *pSrc points to the floating-point input vector
-   * @param[out]      *pDst points to the Q7 output vector
-   * @param[in]       blockSize length of the input vector
-   * @return          none
-   */
-  void arm_float_to_q7(
-  float32_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Converts the elements of the Q31 vector to Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q31_to_q15(
-  q31_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Converts the elements of the Q31 vector to Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q31_to_q7(
-  q31_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Converts the elements of the Q15 vector to floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q15_to_float(
-  q15_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Converts the elements of the Q15 vector to Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q15_to_q31(
-  q15_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Converts the elements of the Q15 vector to Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q15_to_q7(
-  q15_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @ingroup groupInterpolation
-   */
-
-  /**
-   * @defgroup BilinearInterpolate Bilinear Interpolation
-   *
-   * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid.
-   * The underlying function f(x, y) is sampled on a regular grid and the interpolation process
-   * determines values between the grid points.
-   * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension.
-   * Bilinear interpolation is often used in image processing to rescale images.
-   * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.
-   *
-   * Algorithm
-   * \par
-   * The instance structure used by the bilinear interpolation functions describes a two dimensional data table.
-   * For floating-point, the instance structure is defined as:
-   * 
-   *   typedef struct
-   *   {
-   *     uint16_t numRows;
-   *     uint16_t numCols;
-   *     float32_t *pData;
-   * } arm_bilinear_interp_instance_f32;
-   * 

-   *
-   * \par
-   * where numRows specifies the number of rows in the table;
-   * numCols specifies the number of columns in the table;
-   * and pData points to an array of size numRows*numCols values.
-   * The data table pTable is organized in row order and the supplied data values fall on integer indexes.
-   * That is, table element (x,y) is located at pTable[x + y*numCols] where x and y are integers.
-   *
-   * \par
-   * Let (x, y) specify the desired interpolation point.  Then define:
-   * 
-   *     XF = floor(x)
-   *     YF = floor(y)
-   * 

-   * \par
-   * The interpolated output point is computed as:
-   * 
-   *  f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
-   *           + f(XF+1, YF) * (x-XF)*(1-(y-YF))
-   *           + f(XF, YF+1) * (1-(x-XF))*(y-YF)
-   *           + f(XF+1, YF+1) * (x-XF)*(y-YF)
-   * 

-   * Note that the coordinates (x, y) contain integer and fractional components.
-   * The integer components specify which portion of the table to use while the
-   * fractional components control the interpolation processor.
-   *
-   * \par
-   * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output.
-   */
-
-  /**
-   * @addtogroup BilinearInterpolate
-   * @{
-   */
-
-  /**
-  *
-  * @brief  Floating-point bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate.
-  * @param[in] Y interpolation coordinate.
-  * @return out interpolated value.
-  */
-
-
-  static __INLINE float32_t arm_bilinear_interp_f32(
-  const arm_bilinear_interp_instance_f32 * S,
-  float32_t X,
-  float32_t Y)
-  {
-    float32_t out;
-    float32_t f00, f01, f10, f11;
-    float32_t *pData = S->pData;
-    int32_t xIndex, yIndex, index;
-    float32_t xdiff, ydiff;
-    float32_t b1, b2, b3, b4;
-
-    xIndex = (int32_t) X;
-    yIndex = (int32_t) Y;
-
-    /* Care taken for table outside boundary */
-    /* Returns zero output when values are outside table boundary */
-    if(xIndex < 0 || xIndex > (S->numRows - 1) || yIndex < 0
-       || yIndex > (S->numCols - 1))
-    {
-      return (0);
-    }
-
-    /* Calculation of index for two nearest points in X-direction */
-    index = (xIndex - 1) + (yIndex - 1) * S->numCols;
-
-
-    /* Read two nearest points in X-direction */
-    f00 = pData[index];
-    f01 = pData[index + 1];
-
-    /* Calculation of index for two nearest points in Y-direction */
-    index = (xIndex - 1) + (yIndex) * S->numCols;
-
-
-    /* Read two nearest points in Y-direction */
-    f10 = pData[index];
-    f11 = pData[index + 1];
-
-    /* Calculation of intermediate values */
-    b1 = f00;
-    b2 = f01 - f00;
-    b3 = f10 - f00;
-    b4 = f00 - f01 - f10 + f11;
-
-    /* Calculation of fractional part in X */
-    xdiff = X - xIndex;
-
-    /* Calculation of fractional part in Y */
-    ydiff = Y - yIndex;
-
-    /* Calculation of bi-linear interpolated output */
-    out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff;
-
-    /* return to application */
-    return (out);
-
-  }
-
-  /**
-  *
-  * @brief  Q31 bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate in 12.20 format.
-  * @param[in] Y interpolation coordinate in 12.20 format.
-  * @return out interpolated value.
-  */
-
-  static __INLINE q31_t arm_bilinear_interp_q31(
-  arm_bilinear_interp_instance_q31 * S,
-  q31_t X,
-  q31_t Y)
-  {
-    q31_t out;                                   /* Temporary output */
-    q31_t acc = 0;                               /* output */
-    q31_t xfract, yfract;                        /* X, Y fractional parts */
-    q31_t x1, x2, y1, y2;                        /* Nearest output values */
-    int32_t rI, cI;                              /* Row and column indices */
-    q31_t *pYData = S->pData;                    /* pointer to output table values */
-    uint32_t nCols = S->numCols;                 /* num of rows */
-
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    rI = ((X & 0xFFF00000) >> 20u);
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    cI = ((Y & 0xFFF00000) >> 20u);
-
-    /* Care taken for table outside boundary */
-    /* Returns zero output when values are outside table boundary */
-    if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
-    {
-      return (0);
-    }
-
-    /* 20 bits for the fractional part */
-    /* shift left xfract by 11 to keep 1.31 format */
-    xfract = (X & 0x000FFFFF) << 11u;
-
-    /* Read two nearest output values from the index */
-    x1 = pYData[(rI) + nCols * (cI)];
-    x2 = pYData[(rI) + nCols * (cI) + 1u];
-
-    /* 20 bits for the fractional part */
-    /* shift left yfract by 11 to keep 1.31 format */
-    yfract = (Y & 0x000FFFFF) << 11u;
-
-    /* Read two nearest output values from the index */
-    y1 = pYData[(rI) + nCols * (cI + 1)];
-    y2 = pYData[(rI) + nCols * (cI + 1) + 1u];
-
-    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */
-    out = ((q31_t) (((q63_t) x1 * (0x7FFFFFFF - xfract)) >> 32));
-    acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32));
-
-    /* x2 * (xfract) * (1-yfract)  in 3.29(q29) and adding to acc */
-    out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32));
-    acc += ((q31_t) ((q63_t) out * (xfract) >> 32));
-
-    /* y1 * (1 - xfract) * (yfract)  in 3.29(q29) and adding to acc */
-    out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32));
-    acc += ((q31_t) ((q63_t) out * (yfract) >> 32));
-
-    /* y2 * (xfract) * (yfract)  in 3.29(q29) and adding to acc */
-    out = ((q31_t) ((q63_t) y2 * (xfract) >> 32));
-    acc += ((q31_t) ((q63_t) out * (yfract) >> 32));
-
-    /* Convert acc to 1.31(q31) format */
-    return (acc << 2u);
-
-  }
-
-  /**
-  * @brief  Q15 bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate in 12.20 format.
-  * @param[in] Y interpolation coordinate in 12.20 format.
-  * @return out interpolated value.
-  */
-
-  static __INLINE q15_t arm_bilinear_interp_q15(
-  arm_bilinear_interp_instance_q15 * S,
-  q31_t X,
-  q31_t Y)
-  {
-    q63_t acc = 0;                               /* output */
-    q31_t out;                                   /* Temporary output */
-    q15_t x1, x2, y1, y2;                        /* Nearest output values */
-    q31_t xfract, yfract;                        /* X, Y fractional parts */
-    int32_t rI, cI;                              /* Row and column indices */
-    q15_t *pYData = S->pData;                    /* pointer to output table values */
-    uint32_t nCols = S->numCols;                 /* num of rows */
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    rI = ((X & 0xFFF00000) >> 20);
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    cI = ((Y & 0xFFF00000) >> 20);
-
-    /* Care taken for table outside boundary */
-    /* Returns zero output when values are outside table boundary */
-    if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
-    {
-      return (0);
-    }
-
-    /* 20 bits for the fractional part */
-    /* xfract should be in 12.20 format */
-    xfract = (X & 0x000FFFFF);
-
-    /* Read two nearest output values from the index */
-    x1 = pYData[(rI) + nCols * (cI)];
-    x2 = pYData[(rI) + nCols * (cI) + 1u];
-
-
-    /* 20 bits for the fractional part */
-    /* yfract should be in 12.20 format */
-    yfract = (Y & 0x000FFFFF);
-
-    /* Read two nearest output values from the index */
-    y1 = pYData[(rI) + nCols * (cI + 1)];
-    y2 = pYData[(rI) + nCols * (cI + 1) + 1u];
-
-    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */
-
-    /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */
-    /* convert 13.35 to 13.31 by right shifting  and out is in 1.31 */
-    out = (q31_t) (((q63_t) x1 * (0xFFFFF - xfract)) >> 4u);
-    acc = ((q63_t) out * (0xFFFFF - yfract));
-
-    /* x2 * (xfract) * (1-yfract)  in 1.51 and adding to acc */
-    out = (q31_t) (((q63_t) x2 * (0xFFFFF - yfract)) >> 4u);
-    acc += ((q63_t) out * (xfract));
-
-    /* y1 * (1 - xfract) * (yfract)  in 1.51 and adding to acc */
-    out = (q31_t) (((q63_t) y1 * (0xFFFFF - xfract)) >> 4u);
-    acc += ((q63_t) out * (yfract));
-
-    /* y2 * (xfract) * (yfract)  in 1.51 and adding to acc */
-    out = (q31_t) (((q63_t) y2 * (xfract)) >> 4u);
-    acc += ((q63_t) out * (yfract));
-
-    /* acc is in 13.51 format and down shift acc by 36 times */
-    /* Convert out to 1.15 format */
-    return (acc >> 36);
-
-  }
-
-  /**
-  * @brief  Q7 bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate in 12.20 format.
-  * @param[in] Y interpolation coordinate in 12.20 format.
-  * @return out interpolated value.
-  */
-
-  static __INLINE q7_t arm_bilinear_interp_q7(
-  arm_bilinear_interp_instance_q7 * S,
-  q31_t X,
-  q31_t Y)
-  {
-    q63_t acc = 0;                               /* output */
-    q31_t out;                                   /* Temporary output */
-    q31_t xfract, yfract;                        /* X, Y fractional parts */
-    q7_t x1, x2, y1, y2;                         /* Nearest output values */
-    int32_t rI, cI;                              /* Row and column indices */
-    q7_t *pYData = S->pData;                     /* pointer to output table values */
-    uint32_t nCols = S->numCols;                 /* num of rows */
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    rI = ((X & 0xFFF00000) >> 20);
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    cI = ((Y & 0xFFF00000) >> 20);
-
-    /* Care taken for table outside boundary */
-    /* Returns zero output when values are outside table boundary */
-    if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
-    {
-      return (0);
-    }
-
-    /* 20 bits for the fractional part */
-    /* xfract should be in 12.20 format */
-    xfract = (X & 0x000FFFFF);
-
-    /* Read two nearest output values from the index */
-    x1 = pYData[(rI) + nCols * (cI)];
-    x2 = pYData[(rI) + nCols * (cI) + 1u];
-
-
-    /* 20 bits for the fractional part */
-    /* yfract should be in 12.20 format */
-    yfract = (Y & 0x000FFFFF);
-
-    /* Read two nearest output values from the index */
-    y1 = pYData[(rI) + nCols * (cI + 1)];
-    y2 = pYData[(rI) + nCols * (cI + 1) + 1u];
-
-    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */
-    out = ((x1 * (0xFFFFF - xfract)));
-    acc = (((q63_t) out * (0xFFFFF - yfract)));
-
-    /* x2 * (xfract) * (1-yfract)  in 2.22 and adding to acc */
-    out = ((x2 * (0xFFFFF - yfract)));
-    acc += (((q63_t) out * (xfract)));
-
-    /* y1 * (1 - xfract) * (yfract)  in 2.22 and adding to acc */
-    out = ((y1 * (0xFFFFF - xfract)));
-    acc += (((q63_t) out * (yfract)));
-
-    /* y2 * (xfract) * (yfract)  in 2.22 and adding to acc */
-    out = ((y2 * (yfract)));
-    acc += (((q63_t) out * (xfract)));
-
-    /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */
-    return (acc >> 40);
-
-  }
-
-  /**
-   * @} end of BilinearInterpolate group
-   */
-   
-
-//SMMLAR
-#define multAcc_32x32_keep32_R(a, x, y) \
-    a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32)
-
-//SMMLSR
-#define multSub_32x32_keep32_R(a, x, y) \
-    a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32)
-
-//SMMULR
-#define mult_32x32_keep32_R(a, x, y) \
-    a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32)
-
-//SMMLA
-#define multAcc_32x32_keep32(a, x, y) \
-    a += (q31_t) (((q63_t) x * y) >> 32)
-
-//SMMLS
-#define multSub_32x32_keep32(a, x, y) \
-    a -= (q31_t) (((q63_t) x * y) >> 32)
-
-//SMMUL
-#define mult_32x32_keep32(a, x, y) \
-    a = (q31_t) (((q63_t) x * y ) >> 32)
-
-
-#if defined ( __CC_ARM ) //Keil
-
-//Enter low optimization region - place directly above function definition
-    #ifdef ARM_MATH_CM4
-      #define LOW_OPTIMIZATION_ENTER \
-         _Pragma ("push")         \
-         _Pragma ("O1")
-    #else
-      #define LOW_OPTIMIZATION_ENTER 
-    #endif
-
-//Exit low optimization region - place directly after end of function definition
-    #ifdef ARM_MATH_CM4
-      #define LOW_OPTIMIZATION_EXIT \
-         _Pragma ("pop")
-    #else
-      #define LOW_OPTIMIZATION_EXIT  
-    #endif
-
-//Enter low optimization region - place directly above function definition
-  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
-
-//Exit low optimization region - place directly after end of function definition
-  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
-
-#elif defined(__ICCARM__) //IAR
-
-//Enter low optimization region - place directly above function definition
-    #ifdef ARM_MATH_CM4
-      #define LOW_OPTIMIZATION_ENTER \
-         _Pragma ("optimize=low")
-    #else
-      #define LOW_OPTIMIZATION_ENTER   
-    #endif
-
-//Exit low optimization region - place directly after end of function definition
-  #define LOW_OPTIMIZATION_EXIT
-
-//Enter low optimization region - place directly above function definition
-    #ifdef ARM_MATH_CM4
-      #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \
-         _Pragma ("optimize=low")
-    #else
-      #define IAR_ONLY_LOW_OPTIMIZATION_ENTER   
-    #endif
-
-//Exit low optimization region - place directly after end of function definition
-  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
-
-#elif defined(__GNUC__)
-
-  #define LOW_OPTIMIZATION_ENTER __attribute__(( optimize("-O1") ))
-
-  #define LOW_OPTIMIZATION_EXIT
-
-  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
-
-  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
-
-#elif defined(__CSMC__)		// Cosmic
-
-#define LOW_OPTIMIZATION_ENTER
-#define LOW_OPTIMIZATION_EXIT
-#define IAR_ONLY_LOW_OPTIMIZATION_ENTER
-#define IAR_ONLY_LOW_OPTIMIZATION_EXIT
-
-#elif defined(__TASKING__)		// TASKING
-
-#define LOW_OPTIMIZATION_ENTER
-#define LOW_OPTIMIZATION_EXIT
-#define IAR_ONLY_LOW_OPTIMIZATION_ENTER
-#define IAR_ONLY_LOW_OPTIMIZATION_EXIT
-
-#endif
-
-
-#ifdef	__cplusplus
-}
-#endif
-
-
-#endif /* _ARM_MATH_H */
-
-/**
- *
- * End of file.
- */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm0.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm0.h
index cf2b5d66..f929bba0 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm0.h
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm0.h
@@ -1,52 +1,44 @@
 /**************************************************************************//**
  * @file     core_cm0.h
  * @brief    CMSIS Cortex-M0 Core Peripheral Access Layer Header File
- * @version  V4.10
- * @date     18. March 2015
+ * @version  V5.0.5
+ * @date     28. May 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
  *
- * @note
+ * SPDX-License-Identifier: Apache-2.0
  *
- ******************************************************************************/
-/* Copyright (c) 2009 - 2015 ARM LIMITED
-
-   All rights reserved.
-   Redistribution and use in source and binary forms, with or without
-   modification, are permitted provided that the following conditions are met:
-   - Redistributions of source code must retain the above copyright
-     notice, this list of conditions and the following disclaimer.
-   - Redistributions in binary form must reproduce the above copyright
-     notice, this list of conditions and the following disclaimer in the
-     documentation and/or other materials provided with the distribution.
-   - Neither the name of ARM nor the names of its contributors may be used
-     to endorse or promote products derived from this software without
-     specific prior written permission.
-   *
-   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
-   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-   POSSIBILITY OF SUCH DAMAGE.
-   ---------------------------------------------------------------------------*/
-
-
-#if defined ( __ICCARM__ )
- #pragma system_include  /* treat file as system include file for MISRA check */
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if   defined ( __ICCARM__ )
+  #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined (__clang__)
+  #pragma clang system_header   /* treat file as system include file */
 #endif
 
 #ifndef __CORE_CM0_H_GENERIC
 #define __CORE_CM0_H_GENERIC
 
+#include 
+
 #ifdef __cplusplus
  extern "C" {
 #endif
 
-/** \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
   CMSIS violates the following MISRA-C:2004 rules:
 
    \li Required Rule 8.5, object/function definition in header file.

@@ -63,74 +55,49 @@
 /*******************************************************************************
  *                 CMSIS definitions
  ******************************************************************************/
-/** \ingroup Cortex_M0
+/**
+  \ingroup Cortex_M0
   @{
  */
 
+#include "cmsis_version.h"
+ 
 /*  CMSIS CM0 definitions */
-#define __CM0_CMSIS_VERSION_MAIN  (0x04)                                   /*!< [31:16] CMSIS HAL main version   */
-#define __CM0_CMSIS_VERSION_SUB   (0x00)                                   /*!< [15:0]  CMSIS HAL sub version    */
-#define __CM0_CMSIS_VERSION       ((__CM0_CMSIS_VERSION_MAIN << 16) | \
-                                    __CM0_CMSIS_VERSION_SUB          )     /*!< CMSIS HAL version number         */
-
-#define __CORTEX_M                (0x00)                                   /*!< Cortex-M Core                    */
-
-
-#if   defined ( __CC_ARM )
-  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler          */
-  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler       */
-  #define __STATIC_INLINE  static __inline
-
-#elif defined ( __GNUC__ )
-  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __ICCARM__ )
-  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TMS470__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TASKING__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler      */
-  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler   */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __CSMC__ )
-  #define __packed
-  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler      */
-  #define __INLINE         inline                                    /*use -pc99 on compile line !< inline keyword for COSMIC Compiler   */
-  #define __STATIC_INLINE  static inline
+#define __CM0_CMSIS_VERSION_MAIN  (__CM_CMSIS_VERSION_MAIN)              /*!< \deprecated [31:16] CMSIS HAL main version */
+#define __CM0_CMSIS_VERSION_SUB   (__CM_CMSIS_VERSION_SUB)               /*!< \deprecated [15:0]  CMSIS HAL sub version */
+#define __CM0_CMSIS_VERSION       ((__CM0_CMSIS_VERSION_MAIN << 16U) | \
+                                    __CM0_CMSIS_VERSION_SUB           )  /*!< \deprecated CMSIS HAL version number */
 
-#endif
+#define __CORTEX_M                (0U)                                   /*!< Cortex-M Core */
 
 /** __FPU_USED indicates whether an FPU is used or not.
     This core does not support an FPU at all
 */
-#define __FPU_USED       0
+#define __FPU_USED       0U
 
 #if defined ( __CC_ARM )
   #if defined __TARGET_FPU_VFP
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __GNUC__ )
   #if defined (__VFP_FP__) && !defined(__SOFTFP__)
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __ICCARM__ )
   #if defined __ARMVFP__
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
-#elif defined ( __TMS470__ )
-  #if defined __TI__VFP_SUPPORT____
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+#elif defined ( __TI_ARM__ )
+  #if defined __TI_VFP_SUPPORT__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __TASKING__ )
@@ -138,15 +105,15 @@
     #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
-#elif defined ( __CSMC__ )		/* Cosmic */
-  #if ( __CSMC__ & 0x400)		// FPU present for parser
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
     #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
+
 #endif
 
-#include                       /* standard types definitions                      */
-#include                 /* Core Instruction Access                         */
-#include                  /* Core Function Access                            */
+#include "cmsis_compiler.h"               /* CMSIS compiler specific defines */
+
 
 #ifdef __cplusplus
 }
@@ -166,17 +133,17 @@
 /* check device defines and use defaults */
 #if defined __CHECK_DEVICE_DEFINES
   #ifndef __CM0_REV
-    #define __CM0_REV               0x0000
+    #define __CM0_REV               0x0000U
     #warning "__CM0_REV not defined in device header file; using default!"
   #endif
 
   #ifndef __NVIC_PRIO_BITS
-    #define __NVIC_PRIO_BITS          2
+    #define __NVIC_PRIO_BITS          2U
     #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
   #endif
 
   #ifndef __Vendor_SysTickConfig
-    #define __Vendor_SysTickConfig    0
+    #define __Vendor_SysTickConfig    0U
     #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
   #endif
 #endif
@@ -190,12 +157,17 @@
     \li for automatic generation of peripheral register debug information.
 */
 #ifdef __cplusplus
-  #define   __I     volatile             /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
 #else
-  #define   __I     volatile const       /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
 #endif
-#define     __O     volatile             /*!< Defines 'write only' permissions                */
-#define     __IO    volatile             /*!< Defines 'read / write' permissions              */
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
 
 /*@} end of group Cortex_M0 */
 
@@ -209,325 +181,364 @@
   - Core SCB Register
   - Core SysTick Register
  ******************************************************************************/
-/** \defgroup CMSIS_core_register Defines and Type Definitions
-    \brief Type definitions and defines for Cortex-M processor based devices.
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
 */
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_CORE  Status and Control Registers
-    \brief  Core Register type definitions.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
   @{
  */
 
-/** \brief  Union type to access the Application Program Status Register (APSR).
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t _reserved0:28;              /*!< bit:  0..27  Reserved                           */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t _reserved0:28;              /*!< bit:  0..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } APSR_Type;
 
 /* APSR Register Definitions */
-#define APSR_N_Pos                         31                                             /*!< APSR: N Position */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
 #define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
 
-#define APSR_Z_Pos                         30                                             /*!< APSR: Z Position */
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
 #define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
 
-#define APSR_C_Pos                         29                                             /*!< APSR: C Position */
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
 #define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
 
-#define APSR_V_Pos                         28                                             /*!< APSR: V Position */
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
 #define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
 
 
-/** \brief  Union type to access the Interrupt Program Status Register (IPSR).
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } IPSR_Type;
 
 /* IPSR Register Definitions */
-#define IPSR_ISR_Pos                        0                                             /*!< IPSR: ISR Position */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
 #define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved                           */
-    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0)          */
-    uint32_t _reserved1:3;               /*!< bit: 25..27  Reserved                           */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0) */
+    uint32_t _reserved1:3;               /*!< bit: 25..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } xPSR_Type;
 
 /* xPSR Register Definitions */
-#define xPSR_N_Pos                         31                                             /*!< xPSR: N Position */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
 #define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
 
-#define xPSR_Z_Pos                         30                                             /*!< xPSR: Z Position */
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
 #define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
 
-#define xPSR_C_Pos                         29                                             /*!< xPSR: C Position */
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
 #define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
 
-#define xPSR_V_Pos                         28                                             /*!< xPSR: V Position */
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
 #define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
 
-#define xPSR_T_Pos                         24                                             /*!< xPSR: T Position */
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
 #define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
 
-#define xPSR_ISR_Pos                        0                                             /*!< xPSR: ISR Position */
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
 #define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Control Registers (CONTROL).
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
  */
 typedef union
 {
   struct
   {
-    uint32_t _reserved0:1;               /*!< bit:      0  Reserved                           */
-    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used                   */
-    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t _reserved0:1;               /*!< bit:      0  Reserved */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } CONTROL_Type;
 
 /* CONTROL Register Definitions */
-#define CONTROL_SPSEL_Pos                   1                                             /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
 #define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
 
 /*@} end of group CMSIS_CORE */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
-    \brief      Type definitions for the NVIC Registers
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
   @{
  */
 
-/** \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
  */
 typedef struct
 {
-  __IO uint32_t ISER[1];                 /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register           */
-       uint32_t RESERVED0[31];
-  __IO uint32_t ICER[1];                 /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register          */
-       uint32_t RSERVED1[31];
-  __IO uint32_t ISPR[1];                 /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register           */
-       uint32_t RESERVED2[31];
-  __IO uint32_t ICPR[1];                 /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register         */
-       uint32_t RESERVED3[31];
-       uint32_t RESERVED4[64];
-  __IO uint32_t IP[8];                   /*!< Offset: 0x300 (R/W)  Interrupt Priority Register              */
+  __IOM uint32_t ISER[1U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[31U];
+  __IOM uint32_t ICER[1U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[31U];
+  __IOM uint32_t ISPR[1U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[31U];
+  __IOM uint32_t ICPR[1U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[31U];
+        uint32_t RESERVED4[64U];
+  __IOM uint32_t IP[8U];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register */
 }  NVIC_Type;
 
 /*@} end of group CMSIS_NVIC */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCB     System Control Block (SCB)
-    \brief      Type definitions for the System Control Block Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
   @{
  */
 
-/** \brief  Structure type to access the System Control Block (SCB).
+/**
+  \brief  Structure type to access the System Control Block (SCB).
  */
 typedef struct
 {
-  __I  uint32_t CPUID;                   /*!< Offset: 0x000 (R/ )  CPUID Base Register                                   */
-  __IO uint32_t ICSR;                    /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register                  */
-       uint32_t RESERVED0;
-  __IO uint32_t AIRCR;                   /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register      */
-  __IO uint32_t SCR;                     /*!< Offset: 0x010 (R/W)  System Control Register                               */
-  __IO uint32_t CCR;                     /*!< Offset: 0x014 (R/W)  Configuration Control Register                        */
-       uint32_t RESERVED1;
-  __IO uint32_t SHP[2];                  /*!< Offset: 0x01C (R/W)  System Handlers Priority Registers. [0] is RESERVED   */
-  __IO uint32_t SHCSR;                   /*!< Offset: 0x024 (R/W)  System Handler Control and State Register             */
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+        uint32_t RESERVED0;
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+        uint32_t RESERVED1;
+  __IOM uint32_t SHP[2U];                /*!< Offset: 0x01C (R/W)  System Handlers Priority Registers. [0] is RESERVED */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
 } SCB_Type;
 
 /* SCB CPUID Register Definitions */
-#define SCB_CPUID_IMPLEMENTER_Pos          24                                             /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
 #define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
 
-#define SCB_CPUID_VARIANT_Pos              20                                             /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
 #define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
 
-#define SCB_CPUID_ARCHITECTURE_Pos         16                                             /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
 #define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
 
-#define SCB_CPUID_PARTNO_Pos                4                                             /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
 #define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
 
-#define SCB_CPUID_REVISION_Pos              0                                             /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
 #define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
 
 /* SCB Interrupt Control State Register Definitions */
-#define SCB_ICSR_NMIPENDSET_Pos            31                                             /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
 #define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
 
-#define SCB_ICSR_PENDSVSET_Pos             28                                             /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
 #define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
 
-#define SCB_ICSR_PENDSVCLR_Pos             27                                             /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
 #define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
 
-#define SCB_ICSR_PENDSTSET_Pos             26                                             /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
 #define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
 
-#define SCB_ICSR_PENDSTCLR_Pos             25                                             /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
 #define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
 
-#define SCB_ICSR_ISRPREEMPT_Pos            23                                             /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
 #define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
 
-#define SCB_ICSR_ISRPENDING_Pos            22                                             /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
 #define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
 
-#define SCB_ICSR_VECTPENDING_Pos           12                                             /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
 #define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
 
-#define SCB_ICSR_VECTACTIVE_Pos             0                                             /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
 #define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
 
 /* SCB Application Interrupt and Reset Control Register Definitions */
-#define SCB_AIRCR_VECTKEY_Pos              16                                             /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
 #define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
 
-#define SCB_AIRCR_VECTKEYSTAT_Pos          16                                             /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
 #define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
 
-#define SCB_AIRCR_ENDIANESS_Pos            15                                             /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
 #define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
 
-#define SCB_AIRCR_SYSRESETREQ_Pos           2                                             /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
 #define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
 
-#define SCB_AIRCR_VECTCLRACTIVE_Pos         1                                             /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
 #define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
 
 /* SCB System Control Register Definitions */
-#define SCB_SCR_SEVONPEND_Pos               4                                             /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
 #define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
 
-#define SCB_SCR_SLEEPDEEP_Pos               2                                             /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
 #define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
 
-#define SCB_SCR_SLEEPONEXIT_Pos             1                                             /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
 #define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
 
 /* SCB Configuration Control Register Definitions */
-#define SCB_CCR_STKALIGN_Pos                9                                             /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
 #define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
 
-#define SCB_CCR_UNALIGN_TRP_Pos             3                                             /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
 #define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
 
 /* SCB System Handler Control and State Register Definitions */
-#define SCB_SHCSR_SVCALLPENDED_Pos         15                                             /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
 #define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
 
 /*@} end of group CMSIS_SCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
-    \brief      Type definitions for the System Timer Registers.
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
   @{
  */
 
-/** \brief  Structure type to access the System Timer (SysTick).
+/**
+  \brief  Structure type to access the System Timer (SysTick).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
-  __IO uint32_t LOAD;                    /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register       */
-  __IO uint32_t VAL;                     /*!< Offset: 0x008 (R/W)  SysTick Current Value Register      */
-  __I  uint32_t CALIB;                   /*!< Offset: 0x00C (R/ )  SysTick Calibration Register        */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
 } SysTick_Type;
 
 /* SysTick Control / Status Register Definitions */
-#define SysTick_CTRL_COUNTFLAG_Pos         16                                             /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
 #define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
 
-#define SysTick_CTRL_CLKSOURCE_Pos          2                                             /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
 #define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
 
-#define SysTick_CTRL_TICKINT_Pos            1                                             /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
 #define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
 
-#define SysTick_CTRL_ENABLE_Pos             0                                             /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
 #define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
 
 /* SysTick Reload Register Definitions */
-#define SysTick_LOAD_RELOAD_Pos             0                                             /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
 #define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
 
 /* SysTick Current Register Definitions */
-#define SysTick_VAL_CURRENT_Pos             0                                             /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
 #define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
 
 /* SysTick Calibration Register Definitions */
-#define SysTick_CALIB_NOREF_Pos            31                                             /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
 #define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
 
-#define SysTick_CALIB_SKEW_Pos             30                                             /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
 #define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
 
-#define SysTick_CALIB_TENMS_Pos             0                                             /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
 #define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
 
 /*@} end of group CMSIS_SysTick */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
-    \brief      Cortex-M0 Core Debug Registers (DCB registers, SHCSR, and DFSR)
-                are only accessible over DAP and not via processor. Therefore
-                they are not covered by the Cortex-M0 header file.
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Cortex-M0 Core Debug Registers (DCB registers, SHCSR, and DFSR) are only accessible over DAP and not via processor.
+            Therefore they are not covered by the Cortex-M0 header file.
   @{
  */
 /*@} end of group CMSIS_CoreDebug */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_core_base     Core Definitions
-    \brief      Definitions for base addresses, unions, and structures.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    (((uint32_t)(value) << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    (((uint32_t)(value) & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
   @{
  */
 
-/* Memory mapping of Cortex-M0 Hardware */
+/* Memory mapping of Core Hardware */
 #define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
-#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address              */
-#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address                 */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
 #define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
 
-#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct           */
-#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct       */
-#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct          */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
 
 
 /*@} */
@@ -541,179 +552,377 @@ typedef struct
   - Core SysTick Functions
   - Core Register Access Functions
  ******************************************************************************/
-/** \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
 */
 
 
 
 /* ##########################   NVIC functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_NVICFunctions NVIC Functions
-    \brief      Functions that manage interrupts and exceptions via the NVIC.
-    @{
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
  */
 
-/* Interrupt Priorities are WORD accessible only under ARMv6M                   */
+#ifdef CMSIS_NVIC_VIRTUAL
+  #ifndef CMSIS_NVIC_VIRTUAL_HEADER_FILE
+    #define CMSIS_NVIC_VIRTUAL_HEADER_FILE "cmsis_nvic_virtual.h"
+  #endif
+  #include CMSIS_NVIC_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetPriorityGrouping    __NVIC_SetPriorityGrouping
+  #define NVIC_GetPriorityGrouping    __NVIC_GetPriorityGrouping
+  #define NVIC_EnableIRQ              __NVIC_EnableIRQ
+  #define NVIC_GetEnableIRQ           __NVIC_GetEnableIRQ
+  #define NVIC_DisableIRQ             __NVIC_DisableIRQ
+  #define NVIC_GetPendingIRQ          __NVIC_GetPendingIRQ
+  #define NVIC_SetPendingIRQ          __NVIC_SetPendingIRQ
+  #define NVIC_ClearPendingIRQ        __NVIC_ClearPendingIRQ
+/*#define NVIC_GetActive              __NVIC_GetActive             not available for Cortex-M0 */
+  #define NVIC_SetPriority            __NVIC_SetPriority
+  #define NVIC_GetPriority            __NVIC_GetPriority
+  #define NVIC_SystemReset            __NVIC_SystemReset
+#endif /* CMSIS_NVIC_VIRTUAL */
+
+#ifdef CMSIS_VECTAB_VIRTUAL
+  #ifndef CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+    #define CMSIS_VECTAB_VIRTUAL_HEADER_FILE "cmsis_vectab_virtual.h"
+  #endif
+  #include CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetVector              __NVIC_SetVector
+  #define NVIC_GetVector              __NVIC_GetVector
+#endif  /* (CMSIS_VECTAB_VIRTUAL) */
+
+#define NVIC_USER_IRQ_OFFSET          16
+
+
+/* The following EXC_RETURN values are saved the LR on exception entry */
+#define EXC_RETURN_HANDLER         (0xFFFFFFF1UL)     /* return to Handler mode, uses MSP after return                               */
+#define EXC_RETURN_THREAD_MSP      (0xFFFFFFF9UL)     /* return to Thread mode, uses MSP after return                                */
+#define EXC_RETURN_THREAD_PSP      (0xFFFFFFFDUL)     /* return to Thread mode, uses PSP after return                                */
+
+
+/* Interrupt Priorities are WORD accessible only under Armv6-M                  */
 /* The following MACROS handle generation of the register offset and byte masks */
 #define _BIT_SHIFT(IRQn)         (  ((((uint32_t)(int32_t)(IRQn))         )      &  0x03UL) * 8UL)
 #define _SHP_IDX(IRQn)           ( (((((uint32_t)(int32_t)(IRQn)) & 0x0FUL)-8UL) >>    2UL)      )
 #define _IP_IDX(IRQn)            (   (((uint32_t)(int32_t)(IRQn))                >>    2UL)      )
 
+#define __NVIC_SetPriorityGrouping(X) (void)(X)
+#define __NVIC_GetPriorityGrouping()  (0U)
 
-/** \brief  Enable External Interrupt
-
-    The function enables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Enable Interrupt
+  \details Enables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_EnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISER[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISER[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Disable External Interrupt
-
-    The function disables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Get Interrupt Enable status
+  \details Returns a device specific interrupt enable status from the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt is not enabled.
+  \return             1  Interrupt is enabled.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetEnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICER[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISER[0U] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Get Pending Interrupt
-
-    The function reads the pending register in the NVIC and returns the pending bit
-    for the specified interrupt.
+/**
+  \brief   Disable Interrupt
+  \details Disables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
+ */
+__STATIC_INLINE void __NVIC_DisableIRQ(IRQn_Type IRQn)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICER[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+    __DSB();
+    __ISB();
+  }
+}
 
-    \param [in]      IRQn  Interrupt number.
 
-    \return             0  Interrupt status is not pending.
-    \return             1  Interrupt status is pending.
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the NVIC pending register and returns the pending bit for the specified device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPendingIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->ISPR[0] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISPR[0U] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Set Pending Interrupt
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
+ */
+__STATIC_INLINE void __NVIC_SetPendingIRQ(IRQn_Type IRQn)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISPR[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
+}
 
-    The function sets the pending bit of an external interrupt.
 
-    \param [in]      IRQn  Interrupt number. Value cannot be negative.
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_ClearPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISPR[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICPR[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Clear Pending Interrupt
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+  \note    The priority cannot be set for every processor exception.
+ */
+__STATIC_INLINE void __NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->IP[_IP_IDX(IRQn)]  = ((uint32_t)(NVIC->IP[_IP_IDX(IRQn)]  & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+  else
+  {
+    SCB->SHP[_SHP_IDX(IRQn)] = ((uint32_t)(SCB->SHP[_SHP_IDX(IRQn)] & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+}
 
-    The function clears the pending bit of an external interrupt.
 
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
  */
-__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPriority(IRQn_Type IRQn)
 {
-  NVIC->ICPR[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->IP[ _IP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
+  }
+  else
+  {
+    return((uint32_t)(((SCB->SHP[_SHP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
+  }
 }
 
 
-/** \brief  Set Interrupt Priority
+/**
+  \brief   Encode Priority
+  \details Encodes the priority for an interrupt with the given priority group,
+           preemptive priority value, and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]     PriorityGroup  Used priority group.
+  \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
+  \param [in]       SubPriority  Subpriority value (starting from 0).
+  \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
+ */
+__STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
+{
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
 
-    The function sets the priority of an interrupt.
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
+
+  return (
+           ((PreemptPriority & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL)) << SubPriorityBits) |
+           ((SubPriority     & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL)))
+         );
+}
 
-    \note The priority cannot be set for every core interrupt.
 
-    \param [in]      IRQn  Interrupt number.
-    \param [in]  priority  Priority to set.
+/**
+  \brief   Decode Priority
+  \details Decodes an interrupt priority value with a given priority group to
+           preemptive priority value and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
+  \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
+  \param [in]     PriorityGroup  Used priority group.
+  \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
+  \param [out]     pSubPriority  Subpriority value (starting from 0).
  */
-__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority)
 {
-  if((int32_t)(IRQn) < 0) {
-    SCB->SHP[_SHP_IDX(IRQn)] = ((uint32_t)(SCB->SHP[_SHP_IDX(IRQn)] & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
-       (((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
-  }
-  else {
-    NVIC->IP[_IP_IDX(IRQn)]  = ((uint32_t)(NVIC->IP[_IP_IDX(IRQn)]  & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
-       (((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
-  }
-}
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
 
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
 
-/** \brief  Get Interrupt Priority
+  *pPreemptPriority = (Priority >> SubPriorityBits) & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL);
+  *pSubPriority     = (Priority                   ) & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL);
+}
 
-    The function reads the priority of an interrupt. The interrupt
-    number can be positive to specify an external (device specific)
-    interrupt, or negative to specify an internal (core) interrupt.
 
 
-    \param [in]   IRQn  Interrupt number.
-    \return             Interrupt Priority. Value is aligned automatically to the implemented
-                        priority bits of the microcontroller.
+/**
+  \brief   Set Interrupt Vector
+  \details Sets an interrupt vector in SRAM based interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+           Address 0 must be mapped to SRAM.
+  \param [in]   IRQn      Interrupt number
+  \param [in]   vector    Address of interrupt handler function
  */
-__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_SetVector(IRQn_Type IRQn, uint32_t vector)
 {
-
-  if((int32_t)(IRQn) < 0) {
-    return((uint32_t)(((SCB->SHP[_SHP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8 - __NVIC_PRIO_BITS)));
-  }
-  else {
-    return((uint32_t)(((NVIC->IP[ _IP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8 - __NVIC_PRIO_BITS)));
-  }
+  uint32_t *vectors = (uint32_t *)0x0U;
+  vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET] = vector;
 }
 
 
-/** \brief  System Reset
+/**
+  \brief   Get Interrupt Vector
+  \details Reads an interrupt vector from interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn      Interrupt number.
+  \return                 Address of interrupt handler function
+ */
+__STATIC_INLINE uint32_t __NVIC_GetVector(IRQn_Type IRQn)
+{
+  uint32_t *vectors = (uint32_t *)0x0U;
+  return vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET];
+}
+
 
-    The function initiates a system reset request to reset the MCU.
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
  */
-__STATIC_INLINE void NVIC_SystemReset(void)
+__NO_RETURN __STATIC_INLINE void __NVIC_SystemReset(void)
 {
-  __DSB();                                                     /* Ensure all outstanding memory accesses included
-                                                                  buffered write are completed before reset */
+  __DSB();                                                          /* Ensure all outstanding memory accesses included
+                                                                       buffered write are completed before reset */
   SCB->AIRCR  = ((0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
                  SCB_AIRCR_SYSRESETREQ_Msk);
-  __DSB();                                                     /* Ensure completion of memory access */
-  while(1) { __NOP(); }                                        /* wait until reset */
+  __DSB();                                                          /* Ensure completion of memory access */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
 }
 
 /*@} end of CMSIS_Core_NVICFunctions */
 
 
-
-/* ##################################    SysTick function  ############################################ */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
-    \brief      Functions that configure the System.
+/* ##########################  FPU functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_FpuFunctions FPU Functions
+  \brief    Function that provides FPU type.
   @{
  */
 
-#if (__Vendor_SysTickConfig == 0)
+/**
+  \brief   get FPU type
+  \details returns the FPU type
+  \returns
+   - \b  0: No FPU
+   - \b  1: Single precision FPU
+   - \b  2: Double + Single precision FPU
+ */
+__STATIC_INLINE uint32_t SCB_GetFPUType(void)
+{
+    return 0U;           /* No FPU */
+}
+
 
-/** \brief  System Tick Configuration
+/*@} end of CMSIS_Core_FpuFunctions */
 
-    The function initializes the System Timer and its interrupt, and starts the System Tick Timer.
-    Counter is in free running mode to generate periodic interrupts.
 
-    \param [in]  ticks  Number of ticks between two interrupts.
 
-    \return          0  Function succeeded.
-    \return          1  Function failed.
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
 
-    \note     When the variable __Vendor_SysTickConfig is set to 1, then the
-    function SysTick_Config is not included. In this case, the file device.h
-    must contain a vendor-specific implementation of this function.
+#if defined (__Vendor_SysTickConfig) && (__Vendor_SysTickConfig == 0U)
 
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable __Vendor_SysTickConfig is set to 1, then the
+           function SysTick_Config is not included. In this case, the file device.h
+           must contain a vendor-specific implementation of this function.
  */
 __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 {
-  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk) { return (1UL); }    /* Reload value impossible */
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
 
   SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
   NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm0plus.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm0plus.h
index 123cb400..424011ac 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm0plus.h
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm0plus.h
@@ -1,52 +1,44 @@
 /**************************************************************************//**
  * @file     core_cm0plus.h
  * @brief    CMSIS Cortex-M0+ Core Peripheral Access Layer Header File
- * @version  V4.10
- * @date     18. March 2015
+ * @version  V5.0.6
+ * @date     28. May 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
  *
- * @note
+ * SPDX-License-Identifier: Apache-2.0
  *
- ******************************************************************************/
-/* Copyright (c) 2009 - 2015 ARM LIMITED
-
-   All rights reserved.
-   Redistribution and use in source and binary forms, with or without
-   modification, are permitted provided that the following conditions are met:
-   - Redistributions of source code must retain the above copyright
-     notice, this list of conditions and the following disclaimer.
-   - Redistributions in binary form must reproduce the above copyright
-     notice, this list of conditions and the following disclaimer in the
-     documentation and/or other materials provided with the distribution.
-   - Neither the name of ARM nor the names of its contributors may be used
-     to endorse or promote products derived from this software without
-     specific prior written permission.
-   *
-   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
-   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-   POSSIBILITY OF SUCH DAMAGE.
-   ---------------------------------------------------------------------------*/
-
-
-#if defined ( __ICCARM__ )
- #pragma system_include  /* treat file as system include file for MISRA check */
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if   defined ( __ICCARM__ )
+  #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined (__clang__)
+  #pragma clang system_header   /* treat file as system include file */
 #endif
 
 #ifndef __CORE_CM0PLUS_H_GENERIC
 #define __CORE_CM0PLUS_H_GENERIC
 
+#include 
+
 #ifdef __cplusplus
  extern "C" {
 #endif
 
-/** \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
   CMSIS violates the following MISRA-C:2004 rules:
 
    \li Required Rule 8.5, object/function definition in header file.

@@ -63,74 +55,49 @@
 /*******************************************************************************
  *                 CMSIS definitions
  ******************************************************************************/
-/** \ingroup Cortex-M0+
+/**
+  \ingroup Cortex-M0+
   @{
  */
 
-/*  CMSIS CM0P definitions */
-#define __CM0PLUS_CMSIS_VERSION_MAIN (0x04)                                /*!< [31:16] CMSIS HAL main version   */
-#define __CM0PLUS_CMSIS_VERSION_SUB  (0x00)                                /*!< [15:0]  CMSIS HAL sub version    */
-#define __CM0PLUS_CMSIS_VERSION      ((__CM0PLUS_CMSIS_VERSION_MAIN << 16) | \
-                                       __CM0PLUS_CMSIS_VERSION_SUB)        /*!< CMSIS HAL version number         */
-
-#define __CORTEX_M                (0x00)                                   /*!< Cortex-M Core                    */
-
+#include "cmsis_version.h"
+ 
+/*  CMSIS CM0+ definitions */
+#define __CM0PLUS_CMSIS_VERSION_MAIN (__CM_CMSIS_VERSION_MAIN)                  /*!< \deprecated [31:16] CMSIS HAL main version */
+#define __CM0PLUS_CMSIS_VERSION_SUB  (__CM_CMSIS_VERSION_SUB)                   /*!< \deprecated [15:0]  CMSIS HAL sub version */
+#define __CM0PLUS_CMSIS_VERSION      ((__CM0PLUS_CMSIS_VERSION_MAIN << 16U) | \
+                                       __CM0PLUS_CMSIS_VERSION_SUB           )  /*!< \deprecated CMSIS HAL version number */
 
-#if   defined ( __CC_ARM )
-  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler          */
-  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler       */
-  #define __STATIC_INLINE  static __inline
-
-#elif defined ( __GNUC__ )
-  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __ICCARM__ )
-  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TMS470__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TASKING__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler      */
-  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler   */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __CSMC__ )
-  #define __packed
-  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler      */
-  #define __INLINE         inline                                    /*use -pc99 on compile line !< inline keyword for COSMIC Compiler   */
-  #define __STATIC_INLINE  static inline
-
-#endif
+#define __CORTEX_M                   (0U)                                       /*!< Cortex-M Core */
 
 /** __FPU_USED indicates whether an FPU is used or not.
     This core does not support an FPU at all
 */
-#define __FPU_USED       0
+#define __FPU_USED       0U
 
 #if defined ( __CC_ARM )
   #if defined __TARGET_FPU_VFP
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __GNUC__ )
   #if defined (__VFP_FP__) && !defined(__SOFTFP__)
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __ICCARM__ )
   #if defined __ARMVFP__
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
-#elif defined ( __TMS470__ )
-  #if defined __TI__VFP_SUPPORT____
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+#elif defined ( __TI_ARM__ )
+  #if defined __TI_VFP_SUPPORT__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __TASKING__ )
@@ -138,15 +105,15 @@
     #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
-#elif defined ( __CSMC__ )		/* Cosmic */
-  #if ( __CSMC__ & 0x400)		// FPU present for parser
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
     #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
+
 #endif
 
-#include                       /* standard types definitions                      */
-#include                 /* Core Instruction Access                         */
-#include                  /* Core Function Access                            */
+#include "cmsis_compiler.h"               /* CMSIS compiler specific defines */
+
 
 #ifdef __cplusplus
 }
@@ -166,27 +133,27 @@
 /* check device defines and use defaults */
 #if defined __CHECK_DEVICE_DEFINES
   #ifndef __CM0PLUS_REV
-    #define __CM0PLUS_REV             0x0000
+    #define __CM0PLUS_REV             0x0000U
     #warning "__CM0PLUS_REV not defined in device header file; using default!"
   #endif
 
   #ifndef __MPU_PRESENT
-    #define __MPU_PRESENT             0
+    #define __MPU_PRESENT             0U
     #warning "__MPU_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __VTOR_PRESENT
-    #define __VTOR_PRESENT            0
+    #define __VTOR_PRESENT            0U
     #warning "__VTOR_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __NVIC_PRIO_BITS
-    #define __NVIC_PRIO_BITS          2
+    #define __NVIC_PRIO_BITS          2U
     #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
   #endif
 
   #ifndef __Vendor_SysTickConfig
-    #define __Vendor_SysTickConfig    0
+    #define __Vendor_SysTickConfig    0U
     #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
   #endif
 #endif
@@ -200,12 +167,17 @@
     \li for automatic generation of peripheral register debug information.
 */
 #ifdef __cplusplus
-  #define   __I     volatile             /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
 #else
-  #define   __I     volatile const       /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
 #endif
-#define     __O     volatile             /*!< Defines 'write only' permissions                */
-#define     __IO    volatile             /*!< Defines 'read / write' permissions              */
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
 
 /*@} end of group Cortex-M0+ */
 
@@ -220,428 +192,471 @@
   - Core SysTick Register
   - Core MPU Register
  ******************************************************************************/
-/** \defgroup CMSIS_core_register Defines and Type Definitions
-    \brief Type definitions and defines for Cortex-M processor based devices.
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
 */
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_CORE  Status and Control Registers
-    \brief  Core Register type definitions.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
   @{
  */
 
-/** \brief  Union type to access the Application Program Status Register (APSR).
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t _reserved0:28;              /*!< bit:  0..27  Reserved                           */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t _reserved0:28;              /*!< bit:  0..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } APSR_Type;
 
 /* APSR Register Definitions */
-#define APSR_N_Pos                         31                                             /*!< APSR: N Position */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
 #define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
 
-#define APSR_Z_Pos                         30                                             /*!< APSR: Z Position */
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
 #define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
 
-#define APSR_C_Pos                         29                                             /*!< APSR: C Position */
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
 #define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
 
-#define APSR_V_Pos                         28                                             /*!< APSR: V Position */
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
 #define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
 
 
-/** \brief  Union type to access the Interrupt Program Status Register (IPSR).
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } IPSR_Type;
 
 /* IPSR Register Definitions */
-#define IPSR_ISR_Pos                        0                                             /*!< IPSR: ISR Position */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
 #define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved                           */
-    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0)          */
-    uint32_t _reserved1:3;               /*!< bit: 25..27  Reserved                           */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0) */
+    uint32_t _reserved1:3;               /*!< bit: 25..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } xPSR_Type;
 
 /* xPSR Register Definitions */
-#define xPSR_N_Pos                         31                                             /*!< xPSR: N Position */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
 #define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
 
-#define xPSR_Z_Pos                         30                                             /*!< xPSR: Z Position */
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
 #define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
 
-#define xPSR_C_Pos                         29                                             /*!< xPSR: C Position */
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
 #define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
 
-#define xPSR_V_Pos                         28                                             /*!< xPSR: V Position */
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
 #define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
 
-#define xPSR_T_Pos                         24                                             /*!< xPSR: T Position */
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
 #define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
 
-#define xPSR_ISR_Pos                        0                                             /*!< xPSR: ISR Position */
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
 #define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Control Registers (CONTROL).
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
  */
 typedef union
 {
   struct
   {
     uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
-    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used                   */
-    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } CONTROL_Type;
 
 /* CONTROL Register Definitions */
-#define CONTROL_SPSEL_Pos                   1                                             /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
 #define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
 
-#define CONTROL_nPRIV_Pos                   0                                             /*!< CONTROL: nPRIV Position */
+#define CONTROL_nPRIV_Pos                   0U                                            /*!< CONTROL: nPRIV Position */
 #define CONTROL_nPRIV_Msk                  (1UL /*<< CONTROL_nPRIV_Pos*/)                 /*!< CONTROL: nPRIV Mask */
 
 /*@} end of group CMSIS_CORE */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
-    \brief      Type definitions for the NVIC Registers
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
   @{
  */
 
-/** \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
  */
 typedef struct
 {
-  __IO uint32_t ISER[1];                 /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register           */
-       uint32_t RESERVED0[31];
-  __IO uint32_t ICER[1];                 /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register          */
-       uint32_t RSERVED1[31];
-  __IO uint32_t ISPR[1];                 /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register           */
-       uint32_t RESERVED2[31];
-  __IO uint32_t ICPR[1];                 /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register         */
-       uint32_t RESERVED3[31];
-       uint32_t RESERVED4[64];
-  __IO uint32_t IP[8];                   /*!< Offset: 0x300 (R/W)  Interrupt Priority Register              */
+  __IOM uint32_t ISER[1U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[31U];
+  __IOM uint32_t ICER[1U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[31U];
+  __IOM uint32_t ISPR[1U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[31U];
+  __IOM uint32_t ICPR[1U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[31U];
+        uint32_t RESERVED4[64U];
+  __IOM uint32_t IP[8U];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register */
 }  NVIC_Type;
 
 /*@} end of group CMSIS_NVIC */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCB     System Control Block (SCB)
-    \brief      Type definitions for the System Control Block Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
   @{
  */
 
-/** \brief  Structure type to access the System Control Block (SCB).
+/**
+  \brief  Structure type to access the System Control Block (SCB).
  */
 typedef struct
 {
-  __I  uint32_t CPUID;                   /*!< Offset: 0x000 (R/ )  CPUID Base Register                                   */
-  __IO uint32_t ICSR;                    /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register                  */
-#if (__VTOR_PRESENT == 1)
-  __IO uint32_t VTOR;                    /*!< Offset: 0x008 (R/W)  Vector Table Offset Register                          */
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
 #else
-       uint32_t RESERVED0;
+        uint32_t RESERVED0;
 #endif
-  __IO uint32_t AIRCR;                   /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register      */
-  __IO uint32_t SCR;                     /*!< Offset: 0x010 (R/W)  System Control Register                               */
-  __IO uint32_t CCR;                     /*!< Offset: 0x014 (R/W)  Configuration Control Register                        */
-       uint32_t RESERVED1;
-  __IO uint32_t SHP[2];                  /*!< Offset: 0x01C (R/W)  System Handlers Priority Registers. [0] is RESERVED   */
-  __IO uint32_t SHCSR;                   /*!< Offset: 0x024 (R/W)  System Handler Control and State Register             */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+        uint32_t RESERVED1;
+  __IOM uint32_t SHP[2U];                /*!< Offset: 0x01C (R/W)  System Handlers Priority Registers. [0] is RESERVED */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
 } SCB_Type;
 
 /* SCB CPUID Register Definitions */
-#define SCB_CPUID_IMPLEMENTER_Pos          24                                             /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
 #define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
 
-#define SCB_CPUID_VARIANT_Pos              20                                             /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
 #define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
 
-#define SCB_CPUID_ARCHITECTURE_Pos         16                                             /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
 #define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
 
-#define SCB_CPUID_PARTNO_Pos                4                                             /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
 #define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
 
-#define SCB_CPUID_REVISION_Pos              0                                             /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
 #define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
 
 /* SCB Interrupt Control State Register Definitions */
-#define SCB_ICSR_NMIPENDSET_Pos            31                                             /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
 #define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
 
-#define SCB_ICSR_PENDSVSET_Pos             28                                             /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
 #define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
 
-#define SCB_ICSR_PENDSVCLR_Pos             27                                             /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
 #define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
 
-#define SCB_ICSR_PENDSTSET_Pos             26                                             /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
 #define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
 
-#define SCB_ICSR_PENDSTCLR_Pos             25                                             /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
 #define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
 
-#define SCB_ICSR_ISRPREEMPT_Pos            23                                             /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
 #define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
 
-#define SCB_ICSR_ISRPENDING_Pos            22                                             /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
 #define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
 
-#define SCB_ICSR_VECTPENDING_Pos           12                                             /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
 #define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
 
-#define SCB_ICSR_VECTACTIVE_Pos             0                                             /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
 #define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
 
-#if (__VTOR_PRESENT == 1)
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
 /* SCB Interrupt Control State Register Definitions */
-#define SCB_VTOR_TBLOFF_Pos                 8                                             /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Pos                 8U                                            /*!< SCB VTOR: TBLOFF Position */
 #define SCB_VTOR_TBLOFF_Msk                (0xFFFFFFUL << SCB_VTOR_TBLOFF_Pos)            /*!< SCB VTOR: TBLOFF Mask */
 #endif
 
 /* SCB Application Interrupt and Reset Control Register Definitions */
-#define SCB_AIRCR_VECTKEY_Pos              16                                             /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
 #define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
 
-#define SCB_AIRCR_VECTKEYSTAT_Pos          16                                             /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
 #define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
 
-#define SCB_AIRCR_ENDIANESS_Pos            15                                             /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
 #define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
 
-#define SCB_AIRCR_SYSRESETREQ_Pos           2                                             /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
 #define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
 
-#define SCB_AIRCR_VECTCLRACTIVE_Pos         1                                             /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
 #define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
 
 /* SCB System Control Register Definitions */
-#define SCB_SCR_SEVONPEND_Pos               4                                             /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
 #define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
 
-#define SCB_SCR_SLEEPDEEP_Pos               2                                             /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
 #define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
 
-#define SCB_SCR_SLEEPONEXIT_Pos             1                                             /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
 #define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
 
 /* SCB Configuration Control Register Definitions */
-#define SCB_CCR_STKALIGN_Pos                9                                             /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
 #define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
 
-#define SCB_CCR_UNALIGN_TRP_Pos             3                                             /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
 #define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
 
 /* SCB System Handler Control and State Register Definitions */
-#define SCB_SHCSR_SVCALLPENDED_Pos         15                                             /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
 #define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
 
 /*@} end of group CMSIS_SCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
-    \brief      Type definitions for the System Timer Registers.
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
   @{
  */
 
-/** \brief  Structure type to access the System Timer (SysTick).
+/**
+  \brief  Structure type to access the System Timer (SysTick).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
-  __IO uint32_t LOAD;                    /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register       */
-  __IO uint32_t VAL;                     /*!< Offset: 0x008 (R/W)  SysTick Current Value Register      */
-  __I  uint32_t CALIB;                   /*!< Offset: 0x00C (R/ )  SysTick Calibration Register        */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
 } SysTick_Type;
 
 /* SysTick Control / Status Register Definitions */
-#define SysTick_CTRL_COUNTFLAG_Pos         16                                             /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
 #define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
 
-#define SysTick_CTRL_CLKSOURCE_Pos          2                                             /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
 #define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
 
-#define SysTick_CTRL_TICKINT_Pos            1                                             /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
 #define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
 
-#define SysTick_CTRL_ENABLE_Pos             0                                             /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
 #define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
 
 /* SysTick Reload Register Definitions */
-#define SysTick_LOAD_RELOAD_Pos             0                                             /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
 #define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
 
 /* SysTick Current Register Definitions */
-#define SysTick_VAL_CURRENT_Pos             0                                             /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
 #define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
 
 /* SysTick Calibration Register Definitions */
-#define SysTick_CALIB_NOREF_Pos            31                                             /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
 #define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
 
-#define SysTick_CALIB_SKEW_Pos             30                                             /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
 #define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
 
-#define SysTick_CALIB_TENMS_Pos             0                                             /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
 #define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
 
 /*@} end of group CMSIS_SysTick */
 
-#if (__MPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
-    \brief      Type definitions for the Memory Protection Unit (MPU)
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
   @{
  */
 
-/** \brief  Structure type to access the Memory Protection Unit (MPU).
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
  */
 typedef struct
 {
-  __I  uint32_t TYPE;                    /*!< Offset: 0x000 (R/ )  MPU Type Register                              */
-  __IO uint32_t CTRL;                    /*!< Offset: 0x004 (R/W)  MPU Control Register                           */
-  __IO uint32_t RNR;                     /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register                     */
-  __IO uint32_t RBAR;                    /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register               */
-  __IO uint32_t RASR;                    /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register         */
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
 } MPU_Type;
 
-/* MPU Type Register */
-#define MPU_TYPE_IREGION_Pos               16                                             /*!< MPU TYPE: IREGION Position */
+#define MPU_TYPE_RALIASES                  1U
+
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
 #define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
 
-#define MPU_TYPE_DREGION_Pos                8                                             /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
 #define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
 
-#define MPU_TYPE_SEPARATE_Pos               0                                             /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
 #define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
 
-/* MPU Control Register */
-#define MPU_CTRL_PRIVDEFENA_Pos             2                                             /*!< MPU CTRL: PRIVDEFENA Position */
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
 #define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
 
-#define MPU_CTRL_HFNMIENA_Pos               1                                             /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
 #define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
 
-#define MPU_CTRL_ENABLE_Pos                 0                                             /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
 #define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
 
-/* MPU Region Number Register */
-#define MPU_RNR_REGION_Pos                  0                                             /*!< MPU RNR: REGION Position */
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
 #define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
 
-/* MPU Region Base Address Register */
-#define MPU_RBAR_ADDR_Pos                   8                                             /*!< MPU RBAR: ADDR Position */
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   8U                                            /*!< MPU RBAR: ADDR Position */
 #define MPU_RBAR_ADDR_Msk                  (0xFFFFFFUL << MPU_RBAR_ADDR_Pos)              /*!< MPU RBAR: ADDR Mask */
 
-#define MPU_RBAR_VALID_Pos                  4                                             /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
 #define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
 
-#define MPU_RBAR_REGION_Pos                 0                                             /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
 #define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
 
-/* MPU Region Attribute and Size Register */
-#define MPU_RASR_ATTRS_Pos                 16                                             /*!< MPU RASR: MPU Region Attribute field Position */
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
 #define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
 
-#define MPU_RASR_XN_Pos                    28                                             /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
 #define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
 
-#define MPU_RASR_AP_Pos                    24                                             /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
 #define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
 
-#define MPU_RASR_TEX_Pos                   19                                             /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
 #define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
 
-#define MPU_RASR_S_Pos                     18                                             /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
 #define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
 
-#define MPU_RASR_C_Pos                     17                                             /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
 #define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
 
-#define MPU_RASR_B_Pos                     16                                             /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
 #define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
 
-#define MPU_RASR_SRD_Pos                    8                                             /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
 #define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
 
-#define MPU_RASR_SIZE_Pos                   1                                             /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
 #define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
 
-#define MPU_RASR_ENABLE_Pos                 0                                             /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
 #define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
 
 /*@} end of group CMSIS_MPU */
 #endif
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
-    \brief      Cortex-M0+ Core Debug Registers (DCB registers, SHCSR, and DFSR)
-                are only accessible over DAP and not via processor. Therefore
-                they are not covered by the Cortex-M0 header file.
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Cortex-M0+ Core Debug Registers (DCB registers, SHCSR, and DFSR) are only accessible over DAP and not via processor.
+            Therefore they are not covered by the Cortex-M0+ header file.
   @{
  */
 /*@} end of group CMSIS_CoreDebug */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_core_base     Core Definitions
-    \brief      Definitions for base addresses, unions, and structures.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
   @{
  */
 
-/* Memory mapping of Cortex-M0+ Hardware */
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    (((uint32_t)(value) << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    (((uint32_t)(value) & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
+  @{
+ */
+
+/* Memory mapping of Core Hardware */
 #define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
-#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address              */
-#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address                 */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
 #define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
 
-#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct           */
-#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct       */
-#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct          */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
 
-#if (__MPU_PRESENT == 1)
-  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit             */
-  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit             */
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
 #endif
 
 /*@} */
@@ -655,179 +670,393 @@ typedef struct
   - Core SysTick Functions
   - Core Register Access Functions
  ******************************************************************************/
-/** \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
 */
 
 
 
 /* ##########################   NVIC functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_NVICFunctions NVIC Functions
-    \brief      Functions that manage interrupts and exceptions via the NVIC.
-    @{
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
  */
 
-/* Interrupt Priorities are WORD accessible only under ARMv6M                   */
+#ifdef CMSIS_NVIC_VIRTUAL
+  #ifndef CMSIS_NVIC_VIRTUAL_HEADER_FILE
+    #define CMSIS_NVIC_VIRTUAL_HEADER_FILE "cmsis_nvic_virtual.h"
+  #endif
+  #include CMSIS_NVIC_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetPriorityGrouping    __NVIC_SetPriorityGrouping
+  #define NVIC_GetPriorityGrouping    __NVIC_GetPriorityGrouping
+  #define NVIC_EnableIRQ              __NVIC_EnableIRQ
+  #define NVIC_GetEnableIRQ           __NVIC_GetEnableIRQ
+  #define NVIC_DisableIRQ             __NVIC_DisableIRQ
+  #define NVIC_GetPendingIRQ          __NVIC_GetPendingIRQ
+  #define NVIC_SetPendingIRQ          __NVIC_SetPendingIRQ
+  #define NVIC_ClearPendingIRQ        __NVIC_ClearPendingIRQ
+/*#define NVIC_GetActive              __NVIC_GetActive             not available for Cortex-M0+ */
+  #define NVIC_SetPriority            __NVIC_SetPriority
+  #define NVIC_GetPriority            __NVIC_GetPriority
+  #define NVIC_SystemReset            __NVIC_SystemReset
+#endif /* CMSIS_NVIC_VIRTUAL */
+
+#ifdef CMSIS_VECTAB_VIRTUAL
+  #ifndef CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+    #define CMSIS_VECTAB_VIRTUAL_HEADER_FILE "cmsis_vectab_virtual.h"
+  #endif
+  #include CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetVector              __NVIC_SetVector
+  #define NVIC_GetVector              __NVIC_GetVector
+#endif  /* (CMSIS_VECTAB_VIRTUAL) */
+
+#define NVIC_USER_IRQ_OFFSET          16
+
+
+/* The following EXC_RETURN values are saved the LR on exception entry */
+#define EXC_RETURN_HANDLER         (0xFFFFFFF1UL)     /* return to Handler mode, uses MSP after return                               */
+#define EXC_RETURN_THREAD_MSP      (0xFFFFFFF9UL)     /* return to Thread mode, uses MSP after return                                */
+#define EXC_RETURN_THREAD_PSP      (0xFFFFFFFDUL)     /* return to Thread mode, uses PSP after return                                */
+
+
+/* Interrupt Priorities are WORD accessible only under Armv6-M                  */
 /* The following MACROS handle generation of the register offset and byte masks */
 #define _BIT_SHIFT(IRQn)         (  ((((uint32_t)(int32_t)(IRQn))         )      &  0x03UL) * 8UL)
 #define _SHP_IDX(IRQn)           ( (((((uint32_t)(int32_t)(IRQn)) & 0x0FUL)-8UL) >>    2UL)      )
 #define _IP_IDX(IRQn)            (   (((uint32_t)(int32_t)(IRQn))                >>    2UL)      )
 
+#define __NVIC_SetPriorityGrouping(X) (void)(X)
+#define __NVIC_GetPriorityGrouping()  (0U)
 
-/** \brief  Enable External Interrupt
-
-    The function enables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Enable Interrupt
+  \details Enables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_EnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISER[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISER[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Disable External Interrupt
-
-    The function disables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Get Interrupt Enable status
+  \details Returns a device specific interrupt enable status from the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt is not enabled.
+  \return             1  Interrupt is enabled.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetEnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICER[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISER[0U] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Get Pending Interrupt
-
-    The function reads the pending register in the NVIC and returns the pending bit
-    for the specified interrupt.
+/**
+  \brief   Disable Interrupt
+  \details Disables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
+ */
+__STATIC_INLINE void __NVIC_DisableIRQ(IRQn_Type IRQn)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICER[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+    __DSB();
+    __ISB();
+  }
+}
 
-    \param [in]      IRQn  Interrupt number.
 
-    \return             0  Interrupt status is not pending.
-    \return             1  Interrupt status is pending.
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the NVIC pending register and returns the pending bit for the specified device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPendingIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->ISPR[0] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISPR[0U] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Set Pending Interrupt
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
+ */
+__STATIC_INLINE void __NVIC_SetPendingIRQ(IRQn_Type IRQn)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISPR[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
+}
 
-    The function sets the pending bit of an external interrupt.
 
-    \param [in]      IRQn  Interrupt number. Value cannot be negative.
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_ClearPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISPR[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICPR[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Clear Pending Interrupt
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+  \note    The priority cannot be set for every processor exception.
+ */
+__STATIC_INLINE void __NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->IP[_IP_IDX(IRQn)]  = ((uint32_t)(NVIC->IP[_IP_IDX(IRQn)]  & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+  else
+  {
+    SCB->SHP[_SHP_IDX(IRQn)] = ((uint32_t)(SCB->SHP[_SHP_IDX(IRQn)] & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+}
 
-    The function clears the pending bit of an external interrupt.
 
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
  */
-__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPriority(IRQn_Type IRQn)
 {
-  NVIC->ICPR[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->IP[ _IP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
+  }
+  else
+  {
+    return((uint32_t)(((SCB->SHP[_SHP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
+  }
 }
 
 
-/** \brief  Set Interrupt Priority
+/**
+  \brief   Encode Priority
+  \details Encodes the priority for an interrupt with the given priority group,
+           preemptive priority value, and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]     PriorityGroup  Used priority group.
+  \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
+  \param [in]       SubPriority  Subpriority value (starting from 0).
+  \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
+ */
+__STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
+{
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
+
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
 
-    The function sets the priority of an interrupt.
+  return (
+           ((PreemptPriority & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL)) << SubPriorityBits) |
+           ((SubPriority     & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL)))
+         );
+}
 
-    \note The priority cannot be set for every core interrupt.
 
-    \param [in]      IRQn  Interrupt number.
-    \param [in]  priority  Priority to set.
+/**
+  \brief   Decode Priority
+  \details Decodes an interrupt priority value with a given priority group to
+           preemptive priority value and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
+  \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
+  \param [in]     PriorityGroup  Used priority group.
+  \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
+  \param [out]     pSubPriority  Subpriority value (starting from 0).
  */
-__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority)
 {
-  if((int32_t)(IRQn) < 0) {
-    SCB->SHP[_SHP_IDX(IRQn)] = ((uint32_t)(SCB->SHP[_SHP_IDX(IRQn)] & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
-       (((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
-  }
-  else {
-    NVIC->IP[_IP_IDX(IRQn)]  = ((uint32_t)(NVIC->IP[_IP_IDX(IRQn)]  & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
-       (((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
-  }
-}
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
 
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
 
-/** \brief  Get Interrupt Priority
+  *pPreemptPriority = (Priority >> SubPriorityBits) & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL);
+  *pSubPriority     = (Priority                   ) & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL);
+}
 
-    The function reads the priority of an interrupt. The interrupt
-    number can be positive to specify an external (device specific)
-    interrupt, or negative to specify an internal (core) interrupt.
 
+/**
+  \brief   Set Interrupt Vector
+  \details Sets an interrupt vector in SRAM based interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+           VTOR must been relocated to SRAM before.
+           If VTOR is not present address 0 must be mapped to SRAM.
+  \param [in]   IRQn      Interrupt number
+  \param [in]   vector    Address of interrupt handler function
+ */
+__STATIC_INLINE void __NVIC_SetVector(IRQn_Type IRQn, uint32_t vector)
+{
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+#else
+    uint32_t *vectors = (uint32_t *)0x0U;
+#endif
+  vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET] = vector;
+}
 
-    \param [in]   IRQn  Interrupt number.
-    \return             Interrupt Priority. Value is aligned automatically to the implemented
-                        priority bits of the microcontroller.
+
+/**
+  \brief   Get Interrupt Vector
+  \details Reads an interrupt vector from interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn      Interrupt number.
+  \return                 Address of interrupt handler function
  */
-__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetVector(IRQn_Type IRQn)
 {
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+#else
+  uint32_t *vectors = (uint32_t *)0x0U;
+#endif
+  return vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET];
 
-  if((int32_t)(IRQn) < 0) {
-    return((uint32_t)(((SCB->SHP[_SHP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8 - __NVIC_PRIO_BITS)));
-  }
-  else {
-    return((uint32_t)(((NVIC->IP[ _IP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8 - __NVIC_PRIO_BITS)));
-  }
 }
 
 
-/** \brief  System Reset
-
-    The function initiates a system reset request to reset the MCU.
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
  */
-__STATIC_INLINE void NVIC_SystemReset(void)
+__NO_RETURN __STATIC_INLINE void __NVIC_SystemReset(void)
 {
-  __DSB();                                                     /* Ensure all outstanding memory accesses included
-                                                                  buffered write are completed before reset */
+  __DSB();                                                          /* Ensure all outstanding memory accesses included
+                                                                       buffered write are completed before reset */
   SCB->AIRCR  = ((0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
                  SCB_AIRCR_SYSRESETREQ_Msk);
-  __DSB();                                                     /* Ensure completion of memory access */
-  while(1) { __NOP(); }                                        /* wait until reset */
+  __DSB();                                                          /* Ensure completion of memory access */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
 }
 
 /*@} end of CMSIS_Core_NVICFunctions */
 
+/* ##########################  MPU functions  #################################### */
 
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
 
-/* ##################################    SysTick function  ############################################ */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
-    \brief      Functions that configure the System.
+#include "mpu_armv7.h"
+
+#endif
+
+/* ##########################  FPU functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_FpuFunctions FPU Functions
+  \brief    Function that provides FPU type.
   @{
  */
 
-#if (__Vendor_SysTickConfig == 0)
+/**
+  \brief   get FPU type
+  \details returns the FPU type
+  \returns
+   - \b  0: No FPU
+   - \b  1: Single precision FPU
+   - \b  2: Double + Single precision FPU
+ */
+__STATIC_INLINE uint32_t SCB_GetFPUType(void)
+{
+    return 0U;           /* No FPU */
+}
+
 
-/** \brief  System Tick Configuration
+/*@} end of CMSIS_Core_FpuFunctions */
 
-    The function initializes the System Timer and its interrupt, and starts the System Tick Timer.
-    Counter is in free running mode to generate periodic interrupts.
 
-    \param [in]  ticks  Number of ticks between two interrupts.
 
-    \return          0  Function succeeded.
-    \return          1  Function failed.
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
 
-    \note     When the variable __Vendor_SysTickConfig is set to 1, then the
-    function SysTick_Config is not included. In this case, the file device.h
-    must contain a vendor-specific implementation of this function.
+#if defined (__Vendor_SysTickConfig) && (__Vendor_SysTickConfig == 0U)
 
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable __Vendor_SysTickConfig is set to 1, then the
+           function SysTick_Config is not included. In this case, the file device.h
+           must contain a vendor-specific implementation of this function.
  */
 __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 {
-  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk) {return (1UL);}      /* Reload value impossible */
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
 
   SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
   NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm3.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm3.h
index 092ee23d..74bff64b 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm3.h
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm3.h
@@ -1,52 +1,44 @@
 /**************************************************************************//**
  * @file     core_cm3.h
  * @brief    CMSIS Cortex-M3 Core Peripheral Access Layer Header File
- * @version  V4.10
- * @date     18. March 2015
+ * @version  V5.0.8
+ * @date     04. June 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
  *
- * @note
+ * SPDX-License-Identifier: Apache-2.0
  *
- ******************************************************************************/
-/* Copyright (c) 2009 - 2015 ARM LIMITED
-
-   All rights reserved.
-   Redistribution and use in source and binary forms, with or without
-   modification, are permitted provided that the following conditions are met:
-   - Redistributions of source code must retain the above copyright
-     notice, this list of conditions and the following disclaimer.
-   - Redistributions in binary form must reproduce the above copyright
-     notice, this list of conditions and the following disclaimer in the
-     documentation and/or other materials provided with the distribution.
-   - Neither the name of ARM nor the names of its contributors may be used
-     to endorse or promote products derived from this software without
-     specific prior written permission.
-   *
-   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
-   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-   POSSIBILITY OF SUCH DAMAGE.
-   ---------------------------------------------------------------------------*/
-
-
-#if defined ( __ICCARM__ )
- #pragma system_include  /* treat file as system include file for MISRA check */
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if   defined ( __ICCARM__ )
+  #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined (__clang__)
+  #pragma clang system_header   /* treat file as system include file */
 #endif
 
 #ifndef __CORE_CM3_H_GENERIC
 #define __CORE_CM3_H_GENERIC
 
+#include 
+
 #ifdef __cplusplus
  extern "C" {
 #endif
 
-/** \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
   CMSIS violates the following MISRA-C:2004 rules:
 
    \li Required Rule 8.5, object/function definition in header file.

@@ -63,74 +55,49 @@
 /*******************************************************************************
  *                 CMSIS definitions
  ******************************************************************************/
-/** \ingroup Cortex_M3
+/**
+  \ingroup Cortex_M3
   @{
  */
 
-/*  CMSIS CM3 definitions */
-#define __CM3_CMSIS_VERSION_MAIN  (0x04)                                   /*!< [31:16] CMSIS HAL main version   */
-#define __CM3_CMSIS_VERSION_SUB   (0x00)                                   /*!< [15:0]  CMSIS HAL sub version    */
-#define __CM3_CMSIS_VERSION       ((__CM3_CMSIS_VERSION_MAIN << 16) | \
-                                    __CM3_CMSIS_VERSION_SUB          )     /*!< CMSIS HAL version number         */
-
-#define __CORTEX_M                (0x03)                                   /*!< Cortex-M Core                    */
-
-
-#if   defined ( __CC_ARM )
-  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler          */
-  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler       */
-  #define __STATIC_INLINE  static __inline
-
-#elif defined ( __GNUC__ )
-  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __ICCARM__ )
-  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TMS470__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler       */
-  #define __STATIC_INLINE  static inline
+#include "cmsis_version.h"
 
-#elif defined ( __TASKING__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler      */
-  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler   */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __CSMC__ )
-  #define __packed
-  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler      */
-  #define __INLINE         inline                                    /*use -pc99 on compile line !< inline keyword for COSMIC Compiler   */
-  #define __STATIC_INLINE  static inline
+/*  CMSIS CM3 definitions */
+#define __CM3_CMSIS_VERSION_MAIN  (__CM_CMSIS_VERSION_MAIN)              /*!< \deprecated [31:16] CMSIS HAL main version */
+#define __CM3_CMSIS_VERSION_SUB   (__CM_CMSIS_VERSION_SUB)               /*!< \deprecated [15:0]  CMSIS HAL sub version */
+#define __CM3_CMSIS_VERSION       ((__CM3_CMSIS_VERSION_MAIN << 16U) | \
+                                    __CM3_CMSIS_VERSION_SUB           )  /*!< \deprecated CMSIS HAL version number */
 
-#endif
+#define __CORTEX_M                (3U)                                   /*!< Cortex-M Core */
 
 /** __FPU_USED indicates whether an FPU is used or not.
     This core does not support an FPU at all
 */
-#define __FPU_USED       0
+#define __FPU_USED       0U
 
 #if defined ( __CC_ARM )
   #if defined __TARGET_FPU_VFP
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __GNUC__ )
   #if defined (__VFP_FP__) && !defined(__SOFTFP__)
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __ICCARM__ )
   #if defined __ARMVFP__
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
-#elif defined ( __TMS470__ )
-  #if defined __TI__VFP_SUPPORT____
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+#elif defined ( __TI_ARM__ )
+  #if defined __TI_VFP_SUPPORT__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __TASKING__ )
@@ -138,15 +105,15 @@
     #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
-#elif defined ( __CSMC__ )		/* Cosmic */
-  #if ( __CSMC__ & 0x400)		// FPU present for parser
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
     #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
+
 #endif
 
-#include                       /* standard types definitions                      */
-#include                 /* Core Instruction Access                         */
-#include                  /* Core Function Access                            */
+#include "cmsis_compiler.h"               /* CMSIS compiler specific defines */
+
 
 #ifdef __cplusplus
 }
@@ -166,22 +133,22 @@
 /* check device defines and use defaults */
 #if defined __CHECK_DEVICE_DEFINES
   #ifndef __CM3_REV
-    #define __CM3_REV               0x0200
+    #define __CM3_REV               0x0200U
     #warning "__CM3_REV not defined in device header file; using default!"
   #endif
 
   #ifndef __MPU_PRESENT
-    #define __MPU_PRESENT             0
+    #define __MPU_PRESENT             0U
     #warning "__MPU_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __NVIC_PRIO_BITS
-    #define __NVIC_PRIO_BITS          4
+    #define __NVIC_PRIO_BITS          3U
     #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
   #endif
 
   #ifndef __Vendor_SysTickConfig
-    #define __Vendor_SysTickConfig    0
+    #define __Vendor_SysTickConfig    0U
     #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
   #endif
 #endif
@@ -195,12 +162,17 @@
     \li for automatic generation of peripheral register debug information.
 */
 #ifdef __cplusplus
-  #define   __I     volatile             /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
 #else
-  #define   __I     volatile const       /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
 #endif
-#define     __O     volatile             /*!< Defines 'write only' permissions                */
-#define     __IO    volatile             /*!< Defines 'read / write' permissions              */
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
 
 /*@} end of group Cortex_M3 */
 
@@ -216,1101 +188,1219 @@
   - Core Debug Register
   - Core MPU Register
  ******************************************************************************/
-/** \defgroup CMSIS_core_register Defines and Type Definitions
-    \brief Type definitions and defines for Cortex-M processor based devices.
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
 */
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_CORE  Status and Control Registers
-    \brief  Core Register type definitions.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
   @{
  */
 
-/** \brief  Union type to access the Application Program Status Register (APSR).
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t _reserved0:27;              /*!< bit:  0..26  Reserved                           */
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t _reserved0:27;              /*!< bit:  0..26  Reserved */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } APSR_Type;
 
 /* APSR Register Definitions */
-#define APSR_N_Pos                         31                                             /*!< APSR: N Position */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
 #define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
 
-#define APSR_Z_Pos                         30                                             /*!< APSR: Z Position */
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
 #define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
 
-#define APSR_C_Pos                         29                                             /*!< APSR: C Position */
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
 #define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
 
-#define APSR_V_Pos                         28                                             /*!< APSR: V Position */
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
 #define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
 
-#define APSR_Q_Pos                         27                                             /*!< APSR: Q Position */
+#define APSR_Q_Pos                         27U                                            /*!< APSR: Q Position */
 #define APSR_Q_Msk                         (1UL << APSR_Q_Pos)                            /*!< APSR: Q Mask */
 
 
-/** \brief  Union type to access the Interrupt Program Status Register (IPSR).
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } IPSR_Type;
 
 /* IPSR Register Definitions */
-#define IPSR_ISR_Pos                        0                                             /*!< IPSR: ISR Position */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
 #define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved                           */
-    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0)          */
-    uint32_t IT:2;                       /*!< bit: 25..26  saved IT state   (read 0)          */
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:1;               /*!< bit:      9  Reserved */
+    uint32_t ICI_IT_1:6;                 /*!< bit: 10..15  ICI/IT part 1 */
+    uint32_t _reserved1:8;               /*!< bit: 16..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit */
+    uint32_t ICI_IT_2:2;                 /*!< bit: 25..26  ICI/IT part 2 */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } xPSR_Type;
 
 /* xPSR Register Definitions */
-#define xPSR_N_Pos                         31                                             /*!< xPSR: N Position */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
 #define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
 
-#define xPSR_Z_Pos                         30                                             /*!< xPSR: Z Position */
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
 #define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
 
-#define xPSR_C_Pos                         29                                             /*!< xPSR: C Position */
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
 #define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
 
-#define xPSR_V_Pos                         28                                             /*!< xPSR: V Position */
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
 #define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
 
-#define xPSR_Q_Pos                         27                                             /*!< xPSR: Q Position */
+#define xPSR_Q_Pos                         27U                                            /*!< xPSR: Q Position */
 #define xPSR_Q_Msk                         (1UL << xPSR_Q_Pos)                            /*!< xPSR: Q Mask */
 
-#define xPSR_IT_Pos                        25                                             /*!< xPSR: IT Position */
-#define xPSR_IT_Msk                        (3UL << xPSR_IT_Pos)                           /*!< xPSR: IT Mask */
+#define xPSR_ICI_IT_2_Pos                  25U                                            /*!< xPSR: ICI/IT part 2 Position */
+#define xPSR_ICI_IT_2_Msk                  (3UL << xPSR_ICI_IT_2_Pos)                     /*!< xPSR: ICI/IT part 2 Mask */
 
-#define xPSR_T_Pos                         24                                             /*!< xPSR: T Position */
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
 #define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
 
-#define xPSR_ISR_Pos                        0                                             /*!< xPSR: ISR Position */
+#define xPSR_ICI_IT_1_Pos                  10U                                            /*!< xPSR: ICI/IT part 1 Position */
+#define xPSR_ICI_IT_1_Msk                  (0x3FUL << xPSR_ICI_IT_1_Pos)                  /*!< xPSR: ICI/IT part 1 Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
 #define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Control Registers (CONTROL).
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
  */
 typedef union
 {
   struct
   {
     uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
-    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used                   */
-    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } CONTROL_Type;
 
 /* CONTROL Register Definitions */
-#define CONTROL_SPSEL_Pos                   1                                             /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
 #define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
 
-#define CONTROL_nPRIV_Pos                   0                                             /*!< CONTROL: nPRIV Position */
+#define CONTROL_nPRIV_Pos                   0U                                            /*!< CONTROL: nPRIV Position */
 #define CONTROL_nPRIV_Msk                  (1UL /*<< CONTROL_nPRIV_Pos*/)                 /*!< CONTROL: nPRIV Mask */
 
 /*@} end of group CMSIS_CORE */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
-    \brief      Type definitions for the NVIC Registers
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
   @{
  */
 
-/** \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
  */
 typedef struct
 {
-  __IO uint32_t ISER[8];                 /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register           */
-       uint32_t RESERVED0[24];
-  __IO uint32_t ICER[8];                 /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register         */
-       uint32_t RSERVED1[24];
-  __IO uint32_t ISPR[8];                 /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register          */
-       uint32_t RESERVED2[24];
-  __IO uint32_t ICPR[8];                 /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register        */
-       uint32_t RESERVED3[24];
-  __IO uint32_t IABR[8];                 /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register           */
-       uint32_t RESERVED4[56];
-  __IO uint8_t  IP[240];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
-       uint32_t RESERVED5[644];
-  __O  uint32_t STIR;                    /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register     */
+  __IOM uint32_t ISER[8U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[24U];
+  __IOM uint32_t ICER[8U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[24U];
+  __IOM uint32_t ISPR[8U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[24U];
+  __IOM uint32_t ICPR[8U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[24U];
+  __IOM uint32_t IABR[8U];               /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register */
+        uint32_t RESERVED4[56U];
+  __IOM uint8_t  IP[240U];               /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
+        uint32_t RESERVED5[644U];
+  __OM  uint32_t STIR;                   /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register */
 }  NVIC_Type;
 
 /* Software Triggered Interrupt Register Definitions */
-#define NVIC_STIR_INTID_Pos                 0                                          /*!< STIR: INTLINESNUM Position */
+#define NVIC_STIR_INTID_Pos                 0U                                         /*!< STIR: INTLINESNUM Position */
 #define NVIC_STIR_INTID_Msk                (0x1FFUL /*<< NVIC_STIR_INTID_Pos*/)        /*!< STIR: INTLINESNUM Mask */
 
 /*@} end of group CMSIS_NVIC */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCB     System Control Block (SCB)
-    \brief      Type definitions for the System Control Block Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
   @{
  */
 
-/** \brief  Structure type to access the System Control Block (SCB).
+/**
+  \brief  Structure type to access the System Control Block (SCB).
  */
 typedef struct
 {
-  __I  uint32_t CPUID;                   /*!< Offset: 0x000 (R/ )  CPUID Base Register                                   */
-  __IO uint32_t ICSR;                    /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register                  */
-  __IO uint32_t VTOR;                    /*!< Offset: 0x008 (R/W)  Vector Table Offset Register                          */
-  __IO uint32_t AIRCR;                   /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register      */
-  __IO uint32_t SCR;                     /*!< Offset: 0x010 (R/W)  System Control Register                               */
-  __IO uint32_t CCR;                     /*!< Offset: 0x014 (R/W)  Configuration Control Register                        */
-  __IO uint8_t  SHP[12];                 /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
-  __IO uint32_t SHCSR;                   /*!< Offset: 0x024 (R/W)  System Handler Control and State Register             */
-  __IO uint32_t CFSR;                    /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register                    */
-  __IO uint32_t HFSR;                    /*!< Offset: 0x02C (R/W)  HardFault Status Register                             */
-  __IO uint32_t DFSR;                    /*!< Offset: 0x030 (R/W)  Debug Fault Status Register                           */
-  __IO uint32_t MMFAR;                   /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register                      */
-  __IO uint32_t BFAR;                    /*!< Offset: 0x038 (R/W)  BusFault Address Register                             */
-  __IO uint32_t AFSR;                    /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register                       */
-  __I  uint32_t PFR[2];                  /*!< Offset: 0x040 (R/ )  Processor Feature Register                            */
-  __I  uint32_t DFR;                     /*!< Offset: 0x048 (R/ )  Debug Feature Register                                */
-  __I  uint32_t ADR;                     /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register                            */
-  __I  uint32_t MMFR[4];                 /*!< Offset: 0x050 (R/ )  Memory Model Feature Register                         */
-  __I  uint32_t ISAR[5];                 /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register                   */
-       uint32_t RESERVED0[5];
-  __IO uint32_t CPACR;                   /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register                   */
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+  __IOM uint8_t  SHP[12U];               /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+  __IOM uint32_t CFSR;                   /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register */
+  __IOM uint32_t HFSR;                   /*!< Offset: 0x02C (R/W)  HardFault Status Register */
+  __IOM uint32_t DFSR;                   /*!< Offset: 0x030 (R/W)  Debug Fault Status Register */
+  __IOM uint32_t MMFAR;                  /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register */
+  __IOM uint32_t BFAR;                   /*!< Offset: 0x038 (R/W)  BusFault Address Register */
+  __IOM uint32_t AFSR;                   /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register */
+  __IM  uint32_t PFR[2U];                /*!< Offset: 0x040 (R/ )  Processor Feature Register */
+  __IM  uint32_t DFR;                    /*!< Offset: 0x048 (R/ )  Debug Feature Register */
+  __IM  uint32_t ADR;                    /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register */
+  __IM  uint32_t MMFR[4U];               /*!< Offset: 0x050 (R/ )  Memory Model Feature Register */
+  __IM  uint32_t ISAR[5U];               /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register */
+        uint32_t RESERVED0[5U];
+  __IOM uint32_t CPACR;                  /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register */
 } SCB_Type;
 
 /* SCB CPUID Register Definitions */
-#define SCB_CPUID_IMPLEMENTER_Pos          24                                             /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
 #define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
 
-#define SCB_CPUID_VARIANT_Pos              20                                             /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
 #define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
 
-#define SCB_CPUID_ARCHITECTURE_Pos         16                                             /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
 #define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
 
-#define SCB_CPUID_PARTNO_Pos                4                                             /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
 #define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
 
-#define SCB_CPUID_REVISION_Pos              0                                             /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
 #define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
 
 /* SCB Interrupt Control State Register Definitions */
-#define SCB_ICSR_NMIPENDSET_Pos            31                                             /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
 #define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
 
-#define SCB_ICSR_PENDSVSET_Pos             28                                             /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
 #define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
 
-#define SCB_ICSR_PENDSVCLR_Pos             27                                             /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
 #define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
 
-#define SCB_ICSR_PENDSTSET_Pos             26                                             /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
 #define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
 
-#define SCB_ICSR_PENDSTCLR_Pos             25                                             /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
 #define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
 
-#define SCB_ICSR_ISRPREEMPT_Pos            23                                             /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
 #define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
 
-#define SCB_ICSR_ISRPENDING_Pos            22                                             /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
 #define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
 
-#define SCB_ICSR_VECTPENDING_Pos           12                                             /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
 #define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
 
-#define SCB_ICSR_RETTOBASE_Pos             11                                             /*!< SCB ICSR: RETTOBASE Position */
+#define SCB_ICSR_RETTOBASE_Pos             11U                                            /*!< SCB ICSR: RETTOBASE Position */
 #define SCB_ICSR_RETTOBASE_Msk             (1UL << SCB_ICSR_RETTOBASE_Pos)                /*!< SCB ICSR: RETTOBASE Mask */
 
-#define SCB_ICSR_VECTACTIVE_Pos             0                                             /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
 #define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
 
 /* SCB Vector Table Offset Register Definitions */
-#if (__CM3_REV < 0x0201)                   /* core r2p1 */
-#define SCB_VTOR_TBLBASE_Pos               29                                             /*!< SCB VTOR: TBLBASE Position */
+#if defined (__CM3_REV) && (__CM3_REV < 0x0201U)                   /* core r2p1 */
+#define SCB_VTOR_TBLBASE_Pos               29U                                            /*!< SCB VTOR: TBLBASE Position */
 #define SCB_VTOR_TBLBASE_Msk               (1UL << SCB_VTOR_TBLBASE_Pos)                  /*!< SCB VTOR: TBLBASE Mask */
 
-#define SCB_VTOR_TBLOFF_Pos                 7                                             /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
 #define SCB_VTOR_TBLOFF_Msk                (0x3FFFFFUL << SCB_VTOR_TBLOFF_Pos)            /*!< SCB VTOR: TBLOFF Mask */
 #else
-#define SCB_VTOR_TBLOFF_Pos                 7                                             /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
 #define SCB_VTOR_TBLOFF_Msk                (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos)           /*!< SCB VTOR: TBLOFF Mask */
 #endif
 
 /* SCB Application Interrupt and Reset Control Register Definitions */
-#define SCB_AIRCR_VECTKEY_Pos              16                                             /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
 #define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
 
-#define SCB_AIRCR_VECTKEYSTAT_Pos          16                                             /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
 #define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
 
-#define SCB_AIRCR_ENDIANESS_Pos            15                                             /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
 #define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
 
-#define SCB_AIRCR_PRIGROUP_Pos              8                                             /*!< SCB AIRCR: PRIGROUP Position */
+#define SCB_AIRCR_PRIGROUP_Pos              8U                                            /*!< SCB AIRCR: PRIGROUP Position */
 #define SCB_AIRCR_PRIGROUP_Msk             (7UL << SCB_AIRCR_PRIGROUP_Pos)                /*!< SCB AIRCR: PRIGROUP Mask */
 
-#define SCB_AIRCR_SYSRESETREQ_Pos           2                                             /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
 #define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
 
-#define SCB_AIRCR_VECTCLRACTIVE_Pos         1                                             /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
 #define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
 
-#define SCB_AIRCR_VECTRESET_Pos             0                                             /*!< SCB AIRCR: VECTRESET Position */
+#define SCB_AIRCR_VECTRESET_Pos             0U                                            /*!< SCB AIRCR: VECTRESET Position */
 #define SCB_AIRCR_VECTRESET_Msk            (1UL /*<< SCB_AIRCR_VECTRESET_Pos*/)           /*!< SCB AIRCR: VECTRESET Mask */
 
 /* SCB System Control Register Definitions */
-#define SCB_SCR_SEVONPEND_Pos               4                                             /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
 #define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
 
-#define SCB_SCR_SLEEPDEEP_Pos               2                                             /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
 #define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
 
-#define SCB_SCR_SLEEPONEXIT_Pos             1                                             /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
 #define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
 
 /* SCB Configuration Control Register Definitions */
-#define SCB_CCR_STKALIGN_Pos                9                                             /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
 #define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
 
-#define SCB_CCR_BFHFNMIGN_Pos               8                                             /*!< SCB CCR: BFHFNMIGN Position */
+#define SCB_CCR_BFHFNMIGN_Pos               8U                                            /*!< SCB CCR: BFHFNMIGN Position */
 #define SCB_CCR_BFHFNMIGN_Msk              (1UL << SCB_CCR_BFHFNMIGN_Pos)                 /*!< SCB CCR: BFHFNMIGN Mask */
 
-#define SCB_CCR_DIV_0_TRP_Pos               4                                             /*!< SCB CCR: DIV_0_TRP Position */
+#define SCB_CCR_DIV_0_TRP_Pos               4U                                            /*!< SCB CCR: DIV_0_TRP Position */
 #define SCB_CCR_DIV_0_TRP_Msk              (1UL << SCB_CCR_DIV_0_TRP_Pos)                 /*!< SCB CCR: DIV_0_TRP Mask */
 
-#define SCB_CCR_UNALIGN_TRP_Pos             3                                             /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
 #define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
 
-#define SCB_CCR_USERSETMPEND_Pos            1                                             /*!< SCB CCR: USERSETMPEND Position */
+#define SCB_CCR_USERSETMPEND_Pos            1U                                            /*!< SCB CCR: USERSETMPEND Position */
 #define SCB_CCR_USERSETMPEND_Msk           (1UL << SCB_CCR_USERSETMPEND_Pos)              /*!< SCB CCR: USERSETMPEND Mask */
 
-#define SCB_CCR_NONBASETHRDENA_Pos          0                                             /*!< SCB CCR: NONBASETHRDENA Position */
+#define SCB_CCR_NONBASETHRDENA_Pos          0U                                            /*!< SCB CCR: NONBASETHRDENA Position */
 #define SCB_CCR_NONBASETHRDENA_Msk         (1UL /*<< SCB_CCR_NONBASETHRDENA_Pos*/)        /*!< SCB CCR: NONBASETHRDENA Mask */
 
 /* SCB System Handler Control and State Register Definitions */
-#define SCB_SHCSR_USGFAULTENA_Pos          18                                             /*!< SCB SHCSR: USGFAULTENA Position */
+#define SCB_SHCSR_USGFAULTENA_Pos          18U                                            /*!< SCB SHCSR: USGFAULTENA Position */
 #define SCB_SHCSR_USGFAULTENA_Msk          (1UL << SCB_SHCSR_USGFAULTENA_Pos)             /*!< SCB SHCSR: USGFAULTENA Mask */
 
-#define SCB_SHCSR_BUSFAULTENA_Pos          17                                             /*!< SCB SHCSR: BUSFAULTENA Position */
+#define SCB_SHCSR_BUSFAULTENA_Pos          17U                                            /*!< SCB SHCSR: BUSFAULTENA Position */
 #define SCB_SHCSR_BUSFAULTENA_Msk          (1UL << SCB_SHCSR_BUSFAULTENA_Pos)             /*!< SCB SHCSR: BUSFAULTENA Mask */
 
-#define SCB_SHCSR_MEMFAULTENA_Pos          16                                             /*!< SCB SHCSR: MEMFAULTENA Position */
+#define SCB_SHCSR_MEMFAULTENA_Pos          16U                                            /*!< SCB SHCSR: MEMFAULTENA Position */
 #define SCB_SHCSR_MEMFAULTENA_Msk          (1UL << SCB_SHCSR_MEMFAULTENA_Pos)             /*!< SCB SHCSR: MEMFAULTENA Mask */
 
-#define SCB_SHCSR_SVCALLPENDED_Pos         15                                             /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
 #define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
 
-#define SCB_SHCSR_BUSFAULTPENDED_Pos       14                                             /*!< SCB SHCSR: BUSFAULTPENDED Position */
+#define SCB_SHCSR_BUSFAULTPENDED_Pos       14U                                            /*!< SCB SHCSR: BUSFAULTPENDED Position */
 #define SCB_SHCSR_BUSFAULTPENDED_Msk       (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos)          /*!< SCB SHCSR: BUSFAULTPENDED Mask */
 
-#define SCB_SHCSR_MEMFAULTPENDED_Pos       13                                             /*!< SCB SHCSR: MEMFAULTPENDED Position */
+#define SCB_SHCSR_MEMFAULTPENDED_Pos       13U                                            /*!< SCB SHCSR: MEMFAULTPENDED Position */
 #define SCB_SHCSR_MEMFAULTPENDED_Msk       (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos)          /*!< SCB SHCSR: MEMFAULTPENDED Mask */
 
-#define SCB_SHCSR_USGFAULTPENDED_Pos       12                                             /*!< SCB SHCSR: USGFAULTPENDED Position */
+#define SCB_SHCSR_USGFAULTPENDED_Pos       12U                                            /*!< SCB SHCSR: USGFAULTPENDED Position */
 #define SCB_SHCSR_USGFAULTPENDED_Msk       (1UL << SCB_SHCSR_USGFAULTPENDED_Pos)          /*!< SCB SHCSR: USGFAULTPENDED Mask */
 
-#define SCB_SHCSR_SYSTICKACT_Pos           11                                             /*!< SCB SHCSR: SYSTICKACT Position */
+#define SCB_SHCSR_SYSTICKACT_Pos           11U                                            /*!< SCB SHCSR: SYSTICKACT Position */
 #define SCB_SHCSR_SYSTICKACT_Msk           (1UL << SCB_SHCSR_SYSTICKACT_Pos)              /*!< SCB SHCSR: SYSTICKACT Mask */
 
-#define SCB_SHCSR_PENDSVACT_Pos            10                                             /*!< SCB SHCSR: PENDSVACT Position */
+#define SCB_SHCSR_PENDSVACT_Pos            10U                                            /*!< SCB SHCSR: PENDSVACT Position */
 #define SCB_SHCSR_PENDSVACT_Msk            (1UL << SCB_SHCSR_PENDSVACT_Pos)               /*!< SCB SHCSR: PENDSVACT Mask */
 
-#define SCB_SHCSR_MONITORACT_Pos            8                                             /*!< SCB SHCSR: MONITORACT Position */
+#define SCB_SHCSR_MONITORACT_Pos            8U                                            /*!< SCB SHCSR: MONITORACT Position */
 #define SCB_SHCSR_MONITORACT_Msk           (1UL << SCB_SHCSR_MONITORACT_Pos)              /*!< SCB SHCSR: MONITORACT Mask */
 
-#define SCB_SHCSR_SVCALLACT_Pos             7                                             /*!< SCB SHCSR: SVCALLACT Position */
+#define SCB_SHCSR_SVCALLACT_Pos             7U                                            /*!< SCB SHCSR: SVCALLACT Position */
 #define SCB_SHCSR_SVCALLACT_Msk            (1UL << SCB_SHCSR_SVCALLACT_Pos)               /*!< SCB SHCSR: SVCALLACT Mask */
 
-#define SCB_SHCSR_USGFAULTACT_Pos           3                                             /*!< SCB SHCSR: USGFAULTACT Position */
+#define SCB_SHCSR_USGFAULTACT_Pos           3U                                            /*!< SCB SHCSR: USGFAULTACT Position */
 #define SCB_SHCSR_USGFAULTACT_Msk          (1UL << SCB_SHCSR_USGFAULTACT_Pos)             /*!< SCB SHCSR: USGFAULTACT Mask */
 
-#define SCB_SHCSR_BUSFAULTACT_Pos           1                                             /*!< SCB SHCSR: BUSFAULTACT Position */
+#define SCB_SHCSR_BUSFAULTACT_Pos           1U                                            /*!< SCB SHCSR: BUSFAULTACT Position */
 #define SCB_SHCSR_BUSFAULTACT_Msk          (1UL << SCB_SHCSR_BUSFAULTACT_Pos)             /*!< SCB SHCSR: BUSFAULTACT Mask */
 
-#define SCB_SHCSR_MEMFAULTACT_Pos           0                                             /*!< SCB SHCSR: MEMFAULTACT Position */
+#define SCB_SHCSR_MEMFAULTACT_Pos           0U                                            /*!< SCB SHCSR: MEMFAULTACT Position */
 #define SCB_SHCSR_MEMFAULTACT_Msk          (1UL /*<< SCB_SHCSR_MEMFAULTACT_Pos*/)         /*!< SCB SHCSR: MEMFAULTACT Mask */
 
-/* SCB Configurable Fault Status Registers Definitions */
-#define SCB_CFSR_USGFAULTSR_Pos            16                                             /*!< SCB CFSR: Usage Fault Status Register Position */
+/* SCB Configurable Fault Status Register Definitions */
+#define SCB_CFSR_USGFAULTSR_Pos            16U                                            /*!< SCB CFSR: Usage Fault Status Register Position */
 #define SCB_CFSR_USGFAULTSR_Msk            (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos)          /*!< SCB CFSR: Usage Fault Status Register Mask */
 
-#define SCB_CFSR_BUSFAULTSR_Pos             8                                             /*!< SCB CFSR: Bus Fault Status Register Position */
+#define SCB_CFSR_BUSFAULTSR_Pos             8U                                            /*!< SCB CFSR: Bus Fault Status Register Position */
 #define SCB_CFSR_BUSFAULTSR_Msk            (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos)            /*!< SCB CFSR: Bus Fault Status Register Mask */
 
-#define SCB_CFSR_MEMFAULTSR_Pos             0                                             /*!< SCB CFSR: Memory Manage Fault Status Register Position */
+#define SCB_CFSR_MEMFAULTSR_Pos             0U                                            /*!< SCB CFSR: Memory Manage Fault Status Register Position */
 #define SCB_CFSR_MEMFAULTSR_Msk            (0xFFUL /*<< SCB_CFSR_MEMFAULTSR_Pos*/)        /*!< SCB CFSR: Memory Manage Fault Status Register Mask */
 
-/* SCB Hard Fault Status Registers Definitions */
-#define SCB_HFSR_DEBUGEVT_Pos              31                                             /*!< SCB HFSR: DEBUGEVT Position */
+/* MemManage Fault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_MMARVALID_Pos             (SCB_SHCSR_MEMFAULTACT_Pos + 7U)               /*!< SCB CFSR (MMFSR): MMARVALID Position */
+#define SCB_CFSR_MMARVALID_Msk             (1UL << SCB_CFSR_MMARVALID_Pos)                /*!< SCB CFSR (MMFSR): MMARVALID Mask */
+
+#define SCB_CFSR_MSTKERR_Pos               (SCB_SHCSR_MEMFAULTACT_Pos + 4U)               /*!< SCB CFSR (MMFSR): MSTKERR Position */
+#define SCB_CFSR_MSTKERR_Msk               (1UL << SCB_CFSR_MSTKERR_Pos)                  /*!< SCB CFSR (MMFSR): MSTKERR Mask */
+
+#define SCB_CFSR_MUNSTKERR_Pos             (SCB_SHCSR_MEMFAULTACT_Pos + 3U)               /*!< SCB CFSR (MMFSR): MUNSTKERR Position */
+#define SCB_CFSR_MUNSTKERR_Msk             (1UL << SCB_CFSR_MUNSTKERR_Pos)                /*!< SCB CFSR (MMFSR): MUNSTKERR Mask */
+
+#define SCB_CFSR_DACCVIOL_Pos              (SCB_SHCSR_MEMFAULTACT_Pos + 1U)               /*!< SCB CFSR (MMFSR): DACCVIOL Position */
+#define SCB_CFSR_DACCVIOL_Msk              (1UL << SCB_CFSR_DACCVIOL_Pos)                 /*!< SCB CFSR (MMFSR): DACCVIOL Mask */
+
+#define SCB_CFSR_IACCVIOL_Pos              (SCB_SHCSR_MEMFAULTACT_Pos + 0U)               /*!< SCB CFSR (MMFSR): IACCVIOL Position */
+#define SCB_CFSR_IACCVIOL_Msk              (1UL /*<< SCB_CFSR_IACCVIOL_Pos*/)             /*!< SCB CFSR (MMFSR): IACCVIOL Mask */
+
+/* BusFault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_BFARVALID_Pos            (SCB_CFSR_BUSFAULTSR_Pos + 7U)                  /*!< SCB CFSR (BFSR): BFARVALID Position */
+#define SCB_CFSR_BFARVALID_Msk            (1UL << SCB_CFSR_BFARVALID_Pos)                 /*!< SCB CFSR (BFSR): BFARVALID Mask */
+
+#define SCB_CFSR_STKERR_Pos               (SCB_CFSR_BUSFAULTSR_Pos + 4U)                  /*!< SCB CFSR (BFSR): STKERR Position */
+#define SCB_CFSR_STKERR_Msk               (1UL << SCB_CFSR_STKERR_Pos)                    /*!< SCB CFSR (BFSR): STKERR Mask */
+
+#define SCB_CFSR_UNSTKERR_Pos             (SCB_CFSR_BUSFAULTSR_Pos + 3U)                  /*!< SCB CFSR (BFSR): UNSTKERR Position */
+#define SCB_CFSR_UNSTKERR_Msk             (1UL << SCB_CFSR_UNSTKERR_Pos)                  /*!< SCB CFSR (BFSR): UNSTKERR Mask */
+
+#define SCB_CFSR_IMPRECISERR_Pos          (SCB_CFSR_BUSFAULTSR_Pos + 2U)                  /*!< SCB CFSR (BFSR): IMPRECISERR Position */
+#define SCB_CFSR_IMPRECISERR_Msk          (1UL << SCB_CFSR_IMPRECISERR_Pos)               /*!< SCB CFSR (BFSR): IMPRECISERR Mask */
+
+#define SCB_CFSR_PRECISERR_Pos            (SCB_CFSR_BUSFAULTSR_Pos + 1U)                  /*!< SCB CFSR (BFSR): PRECISERR Position */
+#define SCB_CFSR_PRECISERR_Msk            (1UL << SCB_CFSR_PRECISERR_Pos)                 /*!< SCB CFSR (BFSR): PRECISERR Mask */
+
+#define SCB_CFSR_IBUSERR_Pos              (SCB_CFSR_BUSFAULTSR_Pos + 0U)                  /*!< SCB CFSR (BFSR): IBUSERR Position */
+#define SCB_CFSR_IBUSERR_Msk              (1UL << SCB_CFSR_IBUSERR_Pos)                   /*!< SCB CFSR (BFSR): IBUSERR Mask */
+
+/* UsageFault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_DIVBYZERO_Pos            (SCB_CFSR_USGFAULTSR_Pos + 9U)                  /*!< SCB CFSR (UFSR): DIVBYZERO Position */
+#define SCB_CFSR_DIVBYZERO_Msk            (1UL << SCB_CFSR_DIVBYZERO_Pos)                 /*!< SCB CFSR (UFSR): DIVBYZERO Mask */
+
+#define SCB_CFSR_UNALIGNED_Pos            (SCB_CFSR_USGFAULTSR_Pos + 8U)                  /*!< SCB CFSR (UFSR): UNALIGNED Position */
+#define SCB_CFSR_UNALIGNED_Msk            (1UL << SCB_CFSR_UNALIGNED_Pos)                 /*!< SCB CFSR (UFSR): UNALIGNED Mask */
+
+#define SCB_CFSR_NOCP_Pos                 (SCB_CFSR_USGFAULTSR_Pos + 3U)                  /*!< SCB CFSR (UFSR): NOCP Position */
+#define SCB_CFSR_NOCP_Msk                 (1UL << SCB_CFSR_NOCP_Pos)                      /*!< SCB CFSR (UFSR): NOCP Mask */
+
+#define SCB_CFSR_INVPC_Pos                (SCB_CFSR_USGFAULTSR_Pos + 2U)                  /*!< SCB CFSR (UFSR): INVPC Position */
+#define SCB_CFSR_INVPC_Msk                (1UL << SCB_CFSR_INVPC_Pos)                     /*!< SCB CFSR (UFSR): INVPC Mask */
+
+#define SCB_CFSR_INVSTATE_Pos             (SCB_CFSR_USGFAULTSR_Pos + 1U)                  /*!< SCB CFSR (UFSR): INVSTATE Position */
+#define SCB_CFSR_INVSTATE_Msk             (1UL << SCB_CFSR_INVSTATE_Pos)                  /*!< SCB CFSR (UFSR): INVSTATE Mask */
+
+#define SCB_CFSR_UNDEFINSTR_Pos           (SCB_CFSR_USGFAULTSR_Pos + 0U)                  /*!< SCB CFSR (UFSR): UNDEFINSTR Position */
+#define SCB_CFSR_UNDEFINSTR_Msk           (1UL << SCB_CFSR_UNDEFINSTR_Pos)                /*!< SCB CFSR (UFSR): UNDEFINSTR Mask */
+
+/* SCB Hard Fault Status Register Definitions */
+#define SCB_HFSR_DEBUGEVT_Pos              31U                                            /*!< SCB HFSR: DEBUGEVT Position */
 #define SCB_HFSR_DEBUGEVT_Msk              (1UL << SCB_HFSR_DEBUGEVT_Pos)                 /*!< SCB HFSR: DEBUGEVT Mask */
 
-#define SCB_HFSR_FORCED_Pos                30                                             /*!< SCB HFSR: FORCED Position */
+#define SCB_HFSR_FORCED_Pos                30U                                            /*!< SCB HFSR: FORCED Position */
 #define SCB_HFSR_FORCED_Msk                (1UL << SCB_HFSR_FORCED_Pos)                   /*!< SCB HFSR: FORCED Mask */
 
-#define SCB_HFSR_VECTTBL_Pos                1                                             /*!< SCB HFSR: VECTTBL Position */
+#define SCB_HFSR_VECTTBL_Pos                1U                                            /*!< SCB HFSR: VECTTBL Position */
 #define SCB_HFSR_VECTTBL_Msk               (1UL << SCB_HFSR_VECTTBL_Pos)                  /*!< SCB HFSR: VECTTBL Mask */
 
 /* SCB Debug Fault Status Register Definitions */
-#define SCB_DFSR_EXTERNAL_Pos               4                                             /*!< SCB DFSR: EXTERNAL Position */
+#define SCB_DFSR_EXTERNAL_Pos               4U                                            /*!< SCB DFSR: EXTERNAL Position */
 #define SCB_DFSR_EXTERNAL_Msk              (1UL << SCB_DFSR_EXTERNAL_Pos)                 /*!< SCB DFSR: EXTERNAL Mask */
 
-#define SCB_DFSR_VCATCH_Pos                 3                                             /*!< SCB DFSR: VCATCH Position */
+#define SCB_DFSR_VCATCH_Pos                 3U                                            /*!< SCB DFSR: VCATCH Position */
 #define SCB_DFSR_VCATCH_Msk                (1UL << SCB_DFSR_VCATCH_Pos)                   /*!< SCB DFSR: VCATCH Mask */
 
-#define SCB_DFSR_DWTTRAP_Pos                2                                             /*!< SCB DFSR: DWTTRAP Position */
+#define SCB_DFSR_DWTTRAP_Pos                2U                                            /*!< SCB DFSR: DWTTRAP Position */
 #define SCB_DFSR_DWTTRAP_Msk               (1UL << SCB_DFSR_DWTTRAP_Pos)                  /*!< SCB DFSR: DWTTRAP Mask */
 
-#define SCB_DFSR_BKPT_Pos                   1                                             /*!< SCB DFSR: BKPT Position */
+#define SCB_DFSR_BKPT_Pos                   1U                                            /*!< SCB DFSR: BKPT Position */
 #define SCB_DFSR_BKPT_Msk                  (1UL << SCB_DFSR_BKPT_Pos)                     /*!< SCB DFSR: BKPT Mask */
 
-#define SCB_DFSR_HALTED_Pos                 0                                             /*!< SCB DFSR: HALTED Position */
+#define SCB_DFSR_HALTED_Pos                 0U                                            /*!< SCB DFSR: HALTED Position */
 #define SCB_DFSR_HALTED_Msk                (1UL /*<< SCB_DFSR_HALTED_Pos*/)               /*!< SCB DFSR: HALTED Mask */
 
 /*@} end of group CMSIS_SCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
-    \brief      Type definitions for the System Control and ID Register not in the SCB
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
+  \brief    Type definitions for the System Control and ID Register not in the SCB
   @{
  */
 
-/** \brief  Structure type to access the System Control and ID Register not in the SCB.
+/**
+  \brief  Structure type to access the System Control and ID Register not in the SCB.
  */
 typedef struct
 {
-       uint32_t RESERVED0[1];
-  __I  uint32_t ICTR;                    /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register      */
-#if ((defined __CM3_REV) && (__CM3_REV >= 0x200))
-  __IO uint32_t ACTLR;                   /*!< Offset: 0x008 (R/W)  Auxiliary Control Register      */
+        uint32_t RESERVED0[1U];
+  __IM  uint32_t ICTR;                   /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register */
+#if defined (__CM3_REV) && (__CM3_REV >= 0x200U)
+  __IOM uint32_t ACTLR;                  /*!< Offset: 0x008 (R/W)  Auxiliary Control Register */
 #else
-       uint32_t RESERVED1[1];
+        uint32_t RESERVED1[1U];
 #endif
 } SCnSCB_Type;
 
 /* Interrupt Controller Type Register Definitions */
-#define SCnSCB_ICTR_INTLINESNUM_Pos         0                                          /*!< ICTR: INTLINESNUM Position */
+#define SCnSCB_ICTR_INTLINESNUM_Pos         0U                                         /*!< ICTR: INTLINESNUM Position */
 #define SCnSCB_ICTR_INTLINESNUM_Msk        (0xFUL /*<< SCnSCB_ICTR_INTLINESNUM_Pos*/)  /*!< ICTR: INTLINESNUM Mask */
 
 /* Auxiliary Control Register Definitions */
 
-#define SCnSCB_ACTLR_DISFOLD_Pos            2                                          /*!< ACTLR: DISFOLD Position */
+#define SCnSCB_ACTLR_DISFOLD_Pos            2U                                         /*!< ACTLR: DISFOLD Position */
 #define SCnSCB_ACTLR_DISFOLD_Msk           (1UL << SCnSCB_ACTLR_DISFOLD_Pos)           /*!< ACTLR: DISFOLD Mask */
 
-#define SCnSCB_ACTLR_DISDEFWBUF_Pos         1                                          /*!< ACTLR: DISDEFWBUF Position */
+#define SCnSCB_ACTLR_DISDEFWBUF_Pos         1U                                         /*!< ACTLR: DISDEFWBUF Position */
 #define SCnSCB_ACTLR_DISDEFWBUF_Msk        (1UL << SCnSCB_ACTLR_DISDEFWBUF_Pos)        /*!< ACTLR: DISDEFWBUF Mask */
 
-#define SCnSCB_ACTLR_DISMCYCINT_Pos         0                                          /*!< ACTLR: DISMCYCINT Position */
+#define SCnSCB_ACTLR_DISMCYCINT_Pos         0U                                         /*!< ACTLR: DISMCYCINT Position */
 #define SCnSCB_ACTLR_DISMCYCINT_Msk        (1UL /*<< SCnSCB_ACTLR_DISMCYCINT_Pos*/)    /*!< ACTLR: DISMCYCINT Mask */
 
 /*@} end of group CMSIS_SCnotSCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
-    \brief      Type definitions for the System Timer Registers.
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
   @{
  */
 
-/** \brief  Structure type to access the System Timer (SysTick).
+/**
+  \brief  Structure type to access the System Timer (SysTick).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
-  __IO uint32_t LOAD;                    /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register       */
-  __IO uint32_t VAL;                     /*!< Offset: 0x008 (R/W)  SysTick Current Value Register      */
-  __I  uint32_t CALIB;                   /*!< Offset: 0x00C (R/ )  SysTick Calibration Register        */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
 } SysTick_Type;
 
 /* SysTick Control / Status Register Definitions */
-#define SysTick_CTRL_COUNTFLAG_Pos         16                                             /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
 #define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
 
-#define SysTick_CTRL_CLKSOURCE_Pos          2                                             /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
 #define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
 
-#define SysTick_CTRL_TICKINT_Pos            1                                             /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
 #define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
 
-#define SysTick_CTRL_ENABLE_Pos             0                                             /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
 #define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
 
 /* SysTick Reload Register Definitions */
-#define SysTick_LOAD_RELOAD_Pos             0                                             /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
 #define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
 
 /* SysTick Current Register Definitions */
-#define SysTick_VAL_CURRENT_Pos             0                                             /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
 #define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
 
 /* SysTick Calibration Register Definitions */
-#define SysTick_CALIB_NOREF_Pos            31                                             /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
 #define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
 
-#define SysTick_CALIB_SKEW_Pos             30                                             /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
 #define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
 
-#define SysTick_CALIB_TENMS_Pos             0                                             /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
 #define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
 
 /*@} end of group CMSIS_SysTick */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
-    \brief      Type definitions for the Instrumentation Trace Macrocell (ITM)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
+  \brief    Type definitions for the Instrumentation Trace Macrocell (ITM)
   @{
  */
 
-/** \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
+/**
+  \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
  */
 typedef struct
 {
-  __O  union
+  __OM  union
   {
-    __O  uint8_t    u8;                  /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit                   */
-    __O  uint16_t   u16;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit                  */
-    __O  uint32_t   u32;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit                  */
-  }  PORT [32];                          /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers               */
-       uint32_t RESERVED0[864];
-  __IO uint32_t TER;                     /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register                 */
-       uint32_t RESERVED1[15];
-  __IO uint32_t TPR;                     /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register              */
-       uint32_t RESERVED2[15];
-  __IO uint32_t TCR;                     /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register                */
-       uint32_t RESERVED3[29];
-  __O  uint32_t IWR;                     /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register            */
-  __I  uint32_t IRR;                     /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register             */
-  __IO uint32_t IMCR;                    /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register     */
-       uint32_t RESERVED4[43];
-  __O  uint32_t LAR;                     /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register                  */
-  __I  uint32_t LSR;                     /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register                  */
-       uint32_t RESERVED5[6];
-  __I  uint32_t PID4;                    /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
-  __I  uint32_t PID5;                    /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
-  __I  uint32_t PID6;                    /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
-  __I  uint32_t PID7;                    /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
-  __I  uint32_t PID0;                    /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
-  __I  uint32_t PID1;                    /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
-  __I  uint32_t PID2;                    /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
-  __I  uint32_t PID3;                    /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
-  __I  uint32_t CID0;                    /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
-  __I  uint32_t CID1;                    /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
-  __I  uint32_t CID2;                    /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
-  __I  uint32_t CID3;                    /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
+    __OM  uint8_t    u8;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit */
+    __OM  uint16_t   u16;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit */
+    __OM  uint32_t   u32;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit */
+  }  PORT [32U];                         /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers */
+        uint32_t RESERVED0[864U];
+  __IOM uint32_t TER;                    /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register */
+        uint32_t RESERVED1[15U];
+  __IOM uint32_t TPR;                    /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register */
+        uint32_t RESERVED2[15U];
+  __IOM uint32_t TCR;                    /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register */
+        uint32_t RESERVED3[29U];
+  __OM  uint32_t IWR;                    /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register */
+  __IM  uint32_t IRR;                    /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register */
+  __IOM uint32_t IMCR;                   /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register */
+        uint32_t RESERVED4[43U];
+  __OM  uint32_t LAR;                    /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register */
+  __IM  uint32_t LSR;                    /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register */
+        uint32_t RESERVED5[6U];
+  __IM  uint32_t PID4;                   /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
+  __IM  uint32_t PID5;                   /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
+  __IM  uint32_t PID6;                   /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
+  __IM  uint32_t PID7;                   /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
+  __IM  uint32_t PID0;                   /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
+  __IM  uint32_t PID1;                   /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
+  __IM  uint32_t PID2;                   /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
+  __IM  uint32_t PID3;                   /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
+  __IM  uint32_t CID0;                   /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
+  __IM  uint32_t CID1;                   /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
+  __IM  uint32_t CID2;                   /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
+  __IM  uint32_t CID3;                   /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
 } ITM_Type;
 
 /* ITM Trace Privilege Register Definitions */
-#define ITM_TPR_PRIVMASK_Pos                0                                             /*!< ITM TPR: PRIVMASK Position */
-#define ITM_TPR_PRIVMASK_Msk               (0xFUL /*<< ITM_TPR_PRIVMASK_Pos*/)            /*!< ITM TPR: PRIVMASK Mask */
+#define ITM_TPR_PRIVMASK_Pos                0U                                            /*!< ITM TPR: PRIVMASK Position */
+#define ITM_TPR_PRIVMASK_Msk               (0xFFFFFFFFUL /*<< ITM_TPR_PRIVMASK_Pos*/)     /*!< ITM TPR: PRIVMASK Mask */
 
 /* ITM Trace Control Register Definitions */
-#define ITM_TCR_BUSY_Pos                   23                                             /*!< ITM TCR: BUSY Position */
+#define ITM_TCR_BUSY_Pos                   23U                                            /*!< ITM TCR: BUSY Position */
 #define ITM_TCR_BUSY_Msk                   (1UL << ITM_TCR_BUSY_Pos)                      /*!< ITM TCR: BUSY Mask */
 
-#define ITM_TCR_TraceBusID_Pos             16                                             /*!< ITM TCR: ATBID Position */
+#define ITM_TCR_TraceBusID_Pos             16U                                            /*!< ITM TCR: ATBID Position */
 #define ITM_TCR_TraceBusID_Msk             (0x7FUL << ITM_TCR_TraceBusID_Pos)             /*!< ITM TCR: ATBID Mask */
 
-#define ITM_TCR_GTSFREQ_Pos                10                                             /*!< ITM TCR: Global timestamp frequency Position */
+#define ITM_TCR_GTSFREQ_Pos                10U                                            /*!< ITM TCR: Global timestamp frequency Position */
 #define ITM_TCR_GTSFREQ_Msk                (3UL << ITM_TCR_GTSFREQ_Pos)                   /*!< ITM TCR: Global timestamp frequency Mask */
 
-#define ITM_TCR_TSPrescale_Pos              8                                             /*!< ITM TCR: TSPrescale Position */
+#define ITM_TCR_TSPrescale_Pos              8U                                            /*!< ITM TCR: TSPrescale Position */
 #define ITM_TCR_TSPrescale_Msk             (3UL << ITM_TCR_TSPrescale_Pos)                /*!< ITM TCR: TSPrescale Mask */
 
-#define ITM_TCR_SWOENA_Pos                  4                                             /*!< ITM TCR: SWOENA Position */
+#define ITM_TCR_SWOENA_Pos                  4U                                            /*!< ITM TCR: SWOENA Position */
 #define ITM_TCR_SWOENA_Msk                 (1UL << ITM_TCR_SWOENA_Pos)                    /*!< ITM TCR: SWOENA Mask */
 
-#define ITM_TCR_DWTENA_Pos                  3                                             /*!< ITM TCR: DWTENA Position */
+#define ITM_TCR_DWTENA_Pos                  3U                                            /*!< ITM TCR: DWTENA Position */
 #define ITM_TCR_DWTENA_Msk                 (1UL << ITM_TCR_DWTENA_Pos)                    /*!< ITM TCR: DWTENA Mask */
 
-#define ITM_TCR_SYNCENA_Pos                 2                                             /*!< ITM TCR: SYNCENA Position */
+#define ITM_TCR_SYNCENA_Pos                 2U                                            /*!< ITM TCR: SYNCENA Position */
 #define ITM_TCR_SYNCENA_Msk                (1UL << ITM_TCR_SYNCENA_Pos)                   /*!< ITM TCR: SYNCENA Mask */
 
-#define ITM_TCR_TSENA_Pos                   1                                             /*!< ITM TCR: TSENA Position */
+#define ITM_TCR_TSENA_Pos                   1U                                            /*!< ITM TCR: TSENA Position */
 #define ITM_TCR_TSENA_Msk                  (1UL << ITM_TCR_TSENA_Pos)                     /*!< ITM TCR: TSENA Mask */
 
-#define ITM_TCR_ITMENA_Pos                  0                                             /*!< ITM TCR: ITM Enable bit Position */
+#define ITM_TCR_ITMENA_Pos                  0U                                            /*!< ITM TCR: ITM Enable bit Position */
 #define ITM_TCR_ITMENA_Msk                 (1UL /*<< ITM_TCR_ITMENA_Pos*/)                /*!< ITM TCR: ITM Enable bit Mask */
 
 /* ITM Integration Write Register Definitions */
-#define ITM_IWR_ATVALIDM_Pos                0                                             /*!< ITM IWR: ATVALIDM Position */
+#define ITM_IWR_ATVALIDM_Pos                0U                                            /*!< ITM IWR: ATVALIDM Position */
 #define ITM_IWR_ATVALIDM_Msk               (1UL /*<< ITM_IWR_ATVALIDM_Pos*/)              /*!< ITM IWR: ATVALIDM Mask */
 
 /* ITM Integration Read Register Definitions */
-#define ITM_IRR_ATREADYM_Pos                0                                             /*!< ITM IRR: ATREADYM Position */
+#define ITM_IRR_ATREADYM_Pos                0U                                            /*!< ITM IRR: ATREADYM Position */
 #define ITM_IRR_ATREADYM_Msk               (1UL /*<< ITM_IRR_ATREADYM_Pos*/)              /*!< ITM IRR: ATREADYM Mask */
 
 /* ITM Integration Mode Control Register Definitions */
-#define ITM_IMCR_INTEGRATION_Pos            0                                             /*!< ITM IMCR: INTEGRATION Position */
+#define ITM_IMCR_INTEGRATION_Pos            0U                                            /*!< ITM IMCR: INTEGRATION Position */
 #define ITM_IMCR_INTEGRATION_Msk           (1UL /*<< ITM_IMCR_INTEGRATION_Pos*/)          /*!< ITM IMCR: INTEGRATION Mask */
 
 /* ITM Lock Status Register Definitions */
-#define ITM_LSR_ByteAcc_Pos                 2                                             /*!< ITM LSR: ByteAcc Position */
+#define ITM_LSR_ByteAcc_Pos                 2U                                            /*!< ITM LSR: ByteAcc Position */
 #define ITM_LSR_ByteAcc_Msk                (1UL << ITM_LSR_ByteAcc_Pos)                   /*!< ITM LSR: ByteAcc Mask */
 
-#define ITM_LSR_Access_Pos                  1                                             /*!< ITM LSR: Access Position */
+#define ITM_LSR_Access_Pos                  1U                                            /*!< ITM LSR: Access Position */
 #define ITM_LSR_Access_Msk                 (1UL << ITM_LSR_Access_Pos)                    /*!< ITM LSR: Access Mask */
 
-#define ITM_LSR_Present_Pos                 0                                             /*!< ITM LSR: Present Position */
+#define ITM_LSR_Present_Pos                 0U                                            /*!< ITM LSR: Present Position */
 #define ITM_LSR_Present_Msk                (1UL /*<< ITM_LSR_Present_Pos*/)               /*!< ITM LSR: Present Mask */
 
 /*@}*/ /* end of group CMSIS_ITM */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
-    \brief      Type definitions for the Data Watchpoint and Trace (DWT)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
+  \brief    Type definitions for the Data Watchpoint and Trace (DWT)
   @{
  */
 
-/** \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
+/**
+  \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  Control Register                          */
-  __IO uint32_t CYCCNT;                  /*!< Offset: 0x004 (R/W)  Cycle Count Register                      */
-  __IO uint32_t CPICNT;                  /*!< Offset: 0x008 (R/W)  CPI Count Register                        */
-  __IO uint32_t EXCCNT;                  /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register         */
-  __IO uint32_t SLEEPCNT;                /*!< Offset: 0x010 (R/W)  Sleep Count Register                      */
-  __IO uint32_t LSUCNT;                  /*!< Offset: 0x014 (R/W)  LSU Count Register                        */
-  __IO uint32_t FOLDCNT;                 /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register         */
-  __I  uint32_t PCSR;                    /*!< Offset: 0x01C (R/ )  Program Counter Sample Register           */
-  __IO uint32_t COMP0;                   /*!< Offset: 0x020 (R/W)  Comparator Register 0                     */
-  __IO uint32_t MASK0;                   /*!< Offset: 0x024 (R/W)  Mask Register 0                           */
-  __IO uint32_t FUNCTION0;               /*!< Offset: 0x028 (R/W)  Function Register 0                       */
-       uint32_t RESERVED0[1];
-  __IO uint32_t COMP1;                   /*!< Offset: 0x030 (R/W)  Comparator Register 1                     */
-  __IO uint32_t MASK1;                   /*!< Offset: 0x034 (R/W)  Mask Register 1                           */
-  __IO uint32_t FUNCTION1;               /*!< Offset: 0x038 (R/W)  Function Register 1                       */
-       uint32_t RESERVED1[1];
-  __IO uint32_t COMP2;                   /*!< Offset: 0x040 (R/W)  Comparator Register 2                     */
-  __IO uint32_t MASK2;                   /*!< Offset: 0x044 (R/W)  Mask Register 2                           */
-  __IO uint32_t FUNCTION2;               /*!< Offset: 0x048 (R/W)  Function Register 2                       */
-       uint32_t RESERVED2[1];
-  __IO uint32_t COMP3;                   /*!< Offset: 0x050 (R/W)  Comparator Register 3                     */
-  __IO uint32_t MASK3;                   /*!< Offset: 0x054 (R/W)  Mask Register 3                           */
-  __IO uint32_t FUNCTION3;               /*!< Offset: 0x058 (R/W)  Function Register 3                       */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  Control Register */
+  __IOM uint32_t CYCCNT;                 /*!< Offset: 0x004 (R/W)  Cycle Count Register */
+  __IOM uint32_t CPICNT;                 /*!< Offset: 0x008 (R/W)  CPI Count Register */
+  __IOM uint32_t EXCCNT;                 /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register */
+  __IOM uint32_t SLEEPCNT;               /*!< Offset: 0x010 (R/W)  Sleep Count Register */
+  __IOM uint32_t LSUCNT;                 /*!< Offset: 0x014 (R/W)  LSU Count Register */
+  __IOM uint32_t FOLDCNT;                /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register */
+  __IM  uint32_t PCSR;                   /*!< Offset: 0x01C (R/ )  Program Counter Sample Register */
+  __IOM uint32_t COMP0;                  /*!< Offset: 0x020 (R/W)  Comparator Register 0 */
+  __IOM uint32_t MASK0;                  /*!< Offset: 0x024 (R/W)  Mask Register 0 */
+  __IOM uint32_t FUNCTION0;              /*!< Offset: 0x028 (R/W)  Function Register 0 */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t COMP1;                  /*!< Offset: 0x030 (R/W)  Comparator Register 1 */
+  __IOM uint32_t MASK1;                  /*!< Offset: 0x034 (R/W)  Mask Register 1 */
+  __IOM uint32_t FUNCTION1;              /*!< Offset: 0x038 (R/W)  Function Register 1 */
+        uint32_t RESERVED1[1U];
+  __IOM uint32_t COMP2;                  /*!< Offset: 0x040 (R/W)  Comparator Register 2 */
+  __IOM uint32_t MASK2;                  /*!< Offset: 0x044 (R/W)  Mask Register 2 */
+  __IOM uint32_t FUNCTION2;              /*!< Offset: 0x048 (R/W)  Function Register 2 */
+        uint32_t RESERVED2[1U];
+  __IOM uint32_t COMP3;                  /*!< Offset: 0x050 (R/W)  Comparator Register 3 */
+  __IOM uint32_t MASK3;                  /*!< Offset: 0x054 (R/W)  Mask Register 3 */
+  __IOM uint32_t FUNCTION3;              /*!< Offset: 0x058 (R/W)  Function Register 3 */
 } DWT_Type;
 
 /* DWT Control Register Definitions */
-#define DWT_CTRL_NUMCOMP_Pos               28                                          /*!< DWT CTRL: NUMCOMP Position */
+#define DWT_CTRL_NUMCOMP_Pos               28U                                         /*!< DWT CTRL: NUMCOMP Position */
 #define DWT_CTRL_NUMCOMP_Msk               (0xFUL << DWT_CTRL_NUMCOMP_Pos)             /*!< DWT CTRL: NUMCOMP Mask */
 
-#define DWT_CTRL_NOTRCPKT_Pos              27                                          /*!< DWT CTRL: NOTRCPKT Position */
+#define DWT_CTRL_NOTRCPKT_Pos              27U                                         /*!< DWT CTRL: NOTRCPKT Position */
 #define DWT_CTRL_NOTRCPKT_Msk              (0x1UL << DWT_CTRL_NOTRCPKT_Pos)            /*!< DWT CTRL: NOTRCPKT Mask */
 
-#define DWT_CTRL_NOEXTTRIG_Pos             26                                          /*!< DWT CTRL: NOEXTTRIG Position */
+#define DWT_CTRL_NOEXTTRIG_Pos             26U                                         /*!< DWT CTRL: NOEXTTRIG Position */
 #define DWT_CTRL_NOEXTTRIG_Msk             (0x1UL << DWT_CTRL_NOEXTTRIG_Pos)           /*!< DWT CTRL: NOEXTTRIG Mask */
 
-#define DWT_CTRL_NOCYCCNT_Pos              25                                          /*!< DWT CTRL: NOCYCCNT Position */
+#define DWT_CTRL_NOCYCCNT_Pos              25U                                         /*!< DWT CTRL: NOCYCCNT Position */
 #define DWT_CTRL_NOCYCCNT_Msk              (0x1UL << DWT_CTRL_NOCYCCNT_Pos)            /*!< DWT CTRL: NOCYCCNT Mask */
 
-#define DWT_CTRL_NOPRFCNT_Pos              24                                          /*!< DWT CTRL: NOPRFCNT Position */
+#define DWT_CTRL_NOPRFCNT_Pos              24U                                         /*!< DWT CTRL: NOPRFCNT Position */
 #define DWT_CTRL_NOPRFCNT_Msk              (0x1UL << DWT_CTRL_NOPRFCNT_Pos)            /*!< DWT CTRL: NOPRFCNT Mask */
 
-#define DWT_CTRL_CYCEVTENA_Pos             22                                          /*!< DWT CTRL: CYCEVTENA Position */
+#define DWT_CTRL_CYCEVTENA_Pos             22U                                         /*!< DWT CTRL: CYCEVTENA Position */
 #define DWT_CTRL_CYCEVTENA_Msk             (0x1UL << DWT_CTRL_CYCEVTENA_Pos)           /*!< DWT CTRL: CYCEVTENA Mask */
 
-#define DWT_CTRL_FOLDEVTENA_Pos            21                                          /*!< DWT CTRL: FOLDEVTENA Position */
+#define DWT_CTRL_FOLDEVTENA_Pos            21U                                         /*!< DWT CTRL: FOLDEVTENA Position */
 #define DWT_CTRL_FOLDEVTENA_Msk            (0x1UL << DWT_CTRL_FOLDEVTENA_Pos)          /*!< DWT CTRL: FOLDEVTENA Mask */
 
-#define DWT_CTRL_LSUEVTENA_Pos             20                                          /*!< DWT CTRL: LSUEVTENA Position */
+#define DWT_CTRL_LSUEVTENA_Pos             20U                                         /*!< DWT CTRL: LSUEVTENA Position */
 #define DWT_CTRL_LSUEVTENA_Msk             (0x1UL << DWT_CTRL_LSUEVTENA_Pos)           /*!< DWT CTRL: LSUEVTENA Mask */
 
-#define DWT_CTRL_SLEEPEVTENA_Pos           19                                          /*!< DWT CTRL: SLEEPEVTENA Position */
+#define DWT_CTRL_SLEEPEVTENA_Pos           19U                                         /*!< DWT CTRL: SLEEPEVTENA Position */
 #define DWT_CTRL_SLEEPEVTENA_Msk           (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos)         /*!< DWT CTRL: SLEEPEVTENA Mask */
 
-#define DWT_CTRL_EXCEVTENA_Pos             18                                          /*!< DWT CTRL: EXCEVTENA Position */
+#define DWT_CTRL_EXCEVTENA_Pos             18U                                         /*!< DWT CTRL: EXCEVTENA Position */
 #define DWT_CTRL_EXCEVTENA_Msk             (0x1UL << DWT_CTRL_EXCEVTENA_Pos)           /*!< DWT CTRL: EXCEVTENA Mask */
 
-#define DWT_CTRL_CPIEVTENA_Pos             17                                          /*!< DWT CTRL: CPIEVTENA Position */
+#define DWT_CTRL_CPIEVTENA_Pos             17U                                         /*!< DWT CTRL: CPIEVTENA Position */
 #define DWT_CTRL_CPIEVTENA_Msk             (0x1UL << DWT_CTRL_CPIEVTENA_Pos)           /*!< DWT CTRL: CPIEVTENA Mask */
 
-#define DWT_CTRL_EXCTRCENA_Pos             16                                          /*!< DWT CTRL: EXCTRCENA Position */
+#define DWT_CTRL_EXCTRCENA_Pos             16U                                         /*!< DWT CTRL: EXCTRCENA Position */
 #define DWT_CTRL_EXCTRCENA_Msk             (0x1UL << DWT_CTRL_EXCTRCENA_Pos)           /*!< DWT CTRL: EXCTRCENA Mask */
 
-#define DWT_CTRL_PCSAMPLENA_Pos            12                                          /*!< DWT CTRL: PCSAMPLENA Position */
+#define DWT_CTRL_PCSAMPLENA_Pos            12U                                         /*!< DWT CTRL: PCSAMPLENA Position */
 #define DWT_CTRL_PCSAMPLENA_Msk            (0x1UL << DWT_CTRL_PCSAMPLENA_Pos)          /*!< DWT CTRL: PCSAMPLENA Mask */
 
-#define DWT_CTRL_SYNCTAP_Pos               10                                          /*!< DWT CTRL: SYNCTAP Position */
+#define DWT_CTRL_SYNCTAP_Pos               10U                                         /*!< DWT CTRL: SYNCTAP Position */
 #define DWT_CTRL_SYNCTAP_Msk               (0x3UL << DWT_CTRL_SYNCTAP_Pos)             /*!< DWT CTRL: SYNCTAP Mask */
 
-#define DWT_CTRL_CYCTAP_Pos                 9                                          /*!< DWT CTRL: CYCTAP Position */
+#define DWT_CTRL_CYCTAP_Pos                 9U                                         /*!< DWT CTRL: CYCTAP Position */
 #define DWT_CTRL_CYCTAP_Msk                (0x1UL << DWT_CTRL_CYCTAP_Pos)              /*!< DWT CTRL: CYCTAP Mask */
 
-#define DWT_CTRL_POSTINIT_Pos               5                                          /*!< DWT CTRL: POSTINIT Position */
+#define DWT_CTRL_POSTINIT_Pos               5U                                         /*!< DWT CTRL: POSTINIT Position */
 #define DWT_CTRL_POSTINIT_Msk              (0xFUL << DWT_CTRL_POSTINIT_Pos)            /*!< DWT CTRL: POSTINIT Mask */
 
-#define DWT_CTRL_POSTPRESET_Pos             1                                          /*!< DWT CTRL: POSTPRESET Position */
+#define DWT_CTRL_POSTPRESET_Pos             1U                                         /*!< DWT CTRL: POSTPRESET Position */
 #define DWT_CTRL_POSTPRESET_Msk            (0xFUL << DWT_CTRL_POSTPRESET_Pos)          /*!< DWT CTRL: POSTPRESET Mask */
 
-#define DWT_CTRL_CYCCNTENA_Pos              0                                          /*!< DWT CTRL: CYCCNTENA Position */
+#define DWT_CTRL_CYCCNTENA_Pos              0U                                         /*!< DWT CTRL: CYCCNTENA Position */
 #define DWT_CTRL_CYCCNTENA_Msk             (0x1UL /*<< DWT_CTRL_CYCCNTENA_Pos*/)       /*!< DWT CTRL: CYCCNTENA Mask */
 
 /* DWT CPI Count Register Definitions */
-#define DWT_CPICNT_CPICNT_Pos               0                                          /*!< DWT CPICNT: CPICNT Position */
+#define DWT_CPICNT_CPICNT_Pos               0U                                         /*!< DWT CPICNT: CPICNT Position */
 #define DWT_CPICNT_CPICNT_Msk              (0xFFUL /*<< DWT_CPICNT_CPICNT_Pos*/)       /*!< DWT CPICNT: CPICNT Mask */
 
 /* DWT Exception Overhead Count Register Definitions */
-#define DWT_EXCCNT_EXCCNT_Pos               0                                          /*!< DWT EXCCNT: EXCCNT Position */
+#define DWT_EXCCNT_EXCCNT_Pos               0U                                         /*!< DWT EXCCNT: EXCCNT Position */
 #define DWT_EXCCNT_EXCCNT_Msk              (0xFFUL /*<< DWT_EXCCNT_EXCCNT_Pos*/)       /*!< DWT EXCCNT: EXCCNT Mask */
 
 /* DWT Sleep Count Register Definitions */
-#define DWT_SLEEPCNT_SLEEPCNT_Pos           0                                          /*!< DWT SLEEPCNT: SLEEPCNT Position */
+#define DWT_SLEEPCNT_SLEEPCNT_Pos           0U                                         /*!< DWT SLEEPCNT: SLEEPCNT Position */
 #define DWT_SLEEPCNT_SLEEPCNT_Msk          (0xFFUL /*<< DWT_SLEEPCNT_SLEEPCNT_Pos*/)   /*!< DWT SLEEPCNT: SLEEPCNT Mask */
 
 /* DWT LSU Count Register Definitions */
-#define DWT_LSUCNT_LSUCNT_Pos               0                                          /*!< DWT LSUCNT: LSUCNT Position */
+#define DWT_LSUCNT_LSUCNT_Pos               0U                                         /*!< DWT LSUCNT: LSUCNT Position */
 #define DWT_LSUCNT_LSUCNT_Msk              (0xFFUL /*<< DWT_LSUCNT_LSUCNT_Pos*/)       /*!< DWT LSUCNT: LSUCNT Mask */
 
 /* DWT Folded-instruction Count Register Definitions */
-#define DWT_FOLDCNT_FOLDCNT_Pos             0                                          /*!< DWT FOLDCNT: FOLDCNT Position */
+#define DWT_FOLDCNT_FOLDCNT_Pos             0U                                         /*!< DWT FOLDCNT: FOLDCNT Position */
 #define DWT_FOLDCNT_FOLDCNT_Msk            (0xFFUL /*<< DWT_FOLDCNT_FOLDCNT_Pos*/)     /*!< DWT FOLDCNT: FOLDCNT Mask */
 
 /* DWT Comparator Mask Register Definitions */
-#define DWT_MASK_MASK_Pos                   0                                          /*!< DWT MASK: MASK Position */
+#define DWT_MASK_MASK_Pos                   0U                                         /*!< DWT MASK: MASK Position */
 #define DWT_MASK_MASK_Msk                  (0x1FUL /*<< DWT_MASK_MASK_Pos*/)           /*!< DWT MASK: MASK Mask */
 
 /* DWT Comparator Function Register Definitions */
-#define DWT_FUNCTION_MATCHED_Pos           24                                          /*!< DWT FUNCTION: MATCHED Position */
+#define DWT_FUNCTION_MATCHED_Pos           24U                                         /*!< DWT FUNCTION: MATCHED Position */
 #define DWT_FUNCTION_MATCHED_Msk           (0x1UL << DWT_FUNCTION_MATCHED_Pos)         /*!< DWT FUNCTION: MATCHED Mask */
 
-#define DWT_FUNCTION_DATAVADDR1_Pos        16                                          /*!< DWT FUNCTION: DATAVADDR1 Position */
+#define DWT_FUNCTION_DATAVADDR1_Pos        16U                                         /*!< DWT FUNCTION: DATAVADDR1 Position */
 #define DWT_FUNCTION_DATAVADDR1_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos)      /*!< DWT FUNCTION: DATAVADDR1 Mask */
 
-#define DWT_FUNCTION_DATAVADDR0_Pos        12                                          /*!< DWT FUNCTION: DATAVADDR0 Position */
+#define DWT_FUNCTION_DATAVADDR0_Pos        12U                                         /*!< DWT FUNCTION: DATAVADDR0 Position */
 #define DWT_FUNCTION_DATAVADDR0_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos)      /*!< DWT FUNCTION: DATAVADDR0 Mask */
 
-#define DWT_FUNCTION_DATAVSIZE_Pos         10                                          /*!< DWT FUNCTION: DATAVSIZE Position */
+#define DWT_FUNCTION_DATAVSIZE_Pos         10U                                         /*!< DWT FUNCTION: DATAVSIZE Position */
 #define DWT_FUNCTION_DATAVSIZE_Msk         (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos)       /*!< DWT FUNCTION: DATAVSIZE Mask */
 
-#define DWT_FUNCTION_LNK1ENA_Pos            9                                          /*!< DWT FUNCTION: LNK1ENA Position */
+#define DWT_FUNCTION_LNK1ENA_Pos            9U                                         /*!< DWT FUNCTION: LNK1ENA Position */
 #define DWT_FUNCTION_LNK1ENA_Msk           (0x1UL << DWT_FUNCTION_LNK1ENA_Pos)         /*!< DWT FUNCTION: LNK1ENA Mask */
 
-#define DWT_FUNCTION_DATAVMATCH_Pos         8                                          /*!< DWT FUNCTION: DATAVMATCH Position */
+#define DWT_FUNCTION_DATAVMATCH_Pos         8U                                         /*!< DWT FUNCTION: DATAVMATCH Position */
 #define DWT_FUNCTION_DATAVMATCH_Msk        (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos)      /*!< DWT FUNCTION: DATAVMATCH Mask */
 
-#define DWT_FUNCTION_CYCMATCH_Pos           7                                          /*!< DWT FUNCTION: CYCMATCH Position */
+#define DWT_FUNCTION_CYCMATCH_Pos           7U                                         /*!< DWT FUNCTION: CYCMATCH Position */
 #define DWT_FUNCTION_CYCMATCH_Msk          (0x1UL << DWT_FUNCTION_CYCMATCH_Pos)        /*!< DWT FUNCTION: CYCMATCH Mask */
 
-#define DWT_FUNCTION_EMITRANGE_Pos          5                                          /*!< DWT FUNCTION: EMITRANGE Position */
+#define DWT_FUNCTION_EMITRANGE_Pos          5U                                         /*!< DWT FUNCTION: EMITRANGE Position */
 #define DWT_FUNCTION_EMITRANGE_Msk         (0x1UL << DWT_FUNCTION_EMITRANGE_Pos)       /*!< DWT FUNCTION: EMITRANGE Mask */
 
-#define DWT_FUNCTION_FUNCTION_Pos           0                                          /*!< DWT FUNCTION: FUNCTION Position */
+#define DWT_FUNCTION_FUNCTION_Pos           0U                                         /*!< DWT FUNCTION: FUNCTION Position */
 #define DWT_FUNCTION_FUNCTION_Msk          (0xFUL /*<< DWT_FUNCTION_FUNCTION_Pos*/)    /*!< DWT FUNCTION: FUNCTION Mask */
 
 /*@}*/ /* end of group CMSIS_DWT */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_TPI     Trace Port Interface (TPI)
-    \brief      Type definitions for the Trace Port Interface (TPI)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_TPI     Trace Port Interface (TPI)
+  \brief    Type definitions for the Trace Port Interface (TPI)
   @{
  */
 
-/** \brief  Structure type to access the Trace Port Interface Register (TPI).
+/**
+  \brief  Structure type to access the Trace Port Interface Register (TPI).
  */
 typedef struct
 {
-  __IO uint32_t SSPSR;                   /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register     */
-  __IO uint32_t CSPSR;                   /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
-       uint32_t RESERVED0[2];
-  __IO uint32_t ACPR;                    /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
-       uint32_t RESERVED1[55];
-  __IO uint32_t SPPR;                    /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
-       uint32_t RESERVED2[131];
-  __I  uint32_t FFSR;                    /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
-  __IO uint32_t FFCR;                    /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
-  __I  uint32_t FSCR;                    /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
-       uint32_t RESERVED3[759];
-  __I  uint32_t TRIGGER;                 /*!< Offset: 0xEE8 (R/ )  TRIGGER */
-  __I  uint32_t FIFO0;                   /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
-  __I  uint32_t ITATBCTR2;               /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
-       uint32_t RESERVED4[1];
-  __I  uint32_t ITATBCTR0;               /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
-  __I  uint32_t FIFO1;                   /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
-  __IO uint32_t ITCTRL;                  /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
-       uint32_t RESERVED5[39];
-  __IO uint32_t CLAIMSET;                /*!< Offset: 0xFA0 (R/W)  Claim tag set */
-  __IO uint32_t CLAIMCLR;                /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
-       uint32_t RESERVED7[8];
-  __I  uint32_t DEVID;                   /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
-  __I  uint32_t DEVTYPE;                 /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
+  __IM  uint32_t SSPSR;                  /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register */
+  __IOM uint32_t CSPSR;                  /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
+        uint32_t RESERVED0[2U];
+  __IOM uint32_t ACPR;                   /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
+        uint32_t RESERVED1[55U];
+  __IOM uint32_t SPPR;                   /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
+        uint32_t RESERVED2[131U];
+  __IM  uint32_t FFSR;                   /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
+  __IOM uint32_t FFCR;                   /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
+  __IM  uint32_t FSCR;                   /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
+        uint32_t RESERVED3[759U];
+  __IM  uint32_t TRIGGER;                /*!< Offset: 0xEE8 (R/ )  TRIGGER Register */
+  __IM  uint32_t FIFO0;                  /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
+  __IM  uint32_t ITATBCTR2;              /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
+        uint32_t RESERVED4[1U];
+  __IM  uint32_t ITATBCTR0;              /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
+  __IM  uint32_t FIFO1;                  /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
+  __IOM uint32_t ITCTRL;                 /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
+        uint32_t RESERVED5[39U];
+  __IOM uint32_t CLAIMSET;               /*!< Offset: 0xFA0 (R/W)  Claim tag set */
+  __IOM uint32_t CLAIMCLR;               /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
+        uint32_t RESERVED7[8U];
+  __IM  uint32_t DEVID;                  /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
+  __IM  uint32_t DEVTYPE;                /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
 } TPI_Type;
 
 /* TPI Asynchronous Clock Prescaler Register Definitions */
-#define TPI_ACPR_PRESCALER_Pos              0                                          /*!< TPI ACPR: PRESCALER Position */
+#define TPI_ACPR_PRESCALER_Pos              0U                                         /*!< TPI ACPR: PRESCALER Position */
 #define TPI_ACPR_PRESCALER_Msk             (0x1FFFUL /*<< TPI_ACPR_PRESCALER_Pos*/)    /*!< TPI ACPR: PRESCALER Mask */
 
 /* TPI Selected Pin Protocol Register Definitions */
-#define TPI_SPPR_TXMODE_Pos                 0                                          /*!< TPI SPPR: TXMODE Position */
+#define TPI_SPPR_TXMODE_Pos                 0U                                         /*!< TPI SPPR: TXMODE Position */
 #define TPI_SPPR_TXMODE_Msk                (0x3UL /*<< TPI_SPPR_TXMODE_Pos*/)          /*!< TPI SPPR: TXMODE Mask */
 
 /* TPI Formatter and Flush Status Register Definitions */
-#define TPI_FFSR_FtNonStop_Pos              3                                          /*!< TPI FFSR: FtNonStop Position */
+#define TPI_FFSR_FtNonStop_Pos              3U                                         /*!< TPI FFSR: FtNonStop Position */
 #define TPI_FFSR_FtNonStop_Msk             (0x1UL << TPI_FFSR_FtNonStop_Pos)           /*!< TPI FFSR: FtNonStop Mask */
 
-#define TPI_FFSR_TCPresent_Pos              2                                          /*!< TPI FFSR: TCPresent Position */
+#define TPI_FFSR_TCPresent_Pos              2U                                         /*!< TPI FFSR: TCPresent Position */
 #define TPI_FFSR_TCPresent_Msk             (0x1UL << TPI_FFSR_TCPresent_Pos)           /*!< TPI FFSR: TCPresent Mask */
 
-#define TPI_FFSR_FtStopped_Pos              1                                          /*!< TPI FFSR: FtStopped Position */
+#define TPI_FFSR_FtStopped_Pos              1U                                         /*!< TPI FFSR: FtStopped Position */
 #define TPI_FFSR_FtStopped_Msk             (0x1UL << TPI_FFSR_FtStopped_Pos)           /*!< TPI FFSR: FtStopped Mask */
 
-#define TPI_FFSR_FlInProg_Pos               0                                          /*!< TPI FFSR: FlInProg Position */
+#define TPI_FFSR_FlInProg_Pos               0U                                         /*!< TPI FFSR: FlInProg Position */
 #define TPI_FFSR_FlInProg_Msk              (0x1UL /*<< TPI_FFSR_FlInProg_Pos*/)        /*!< TPI FFSR: FlInProg Mask */
 
 /* TPI Formatter and Flush Control Register Definitions */
-#define TPI_FFCR_TrigIn_Pos                 8                                          /*!< TPI FFCR: TrigIn Position */
+#define TPI_FFCR_TrigIn_Pos                 8U                                         /*!< TPI FFCR: TrigIn Position */
 #define TPI_FFCR_TrigIn_Msk                (0x1UL << TPI_FFCR_TrigIn_Pos)              /*!< TPI FFCR: TrigIn Mask */
 
-#define TPI_FFCR_EnFCont_Pos                1                                          /*!< TPI FFCR: EnFCont Position */
+#define TPI_FFCR_EnFCont_Pos                1U                                         /*!< TPI FFCR: EnFCont Position */
 #define TPI_FFCR_EnFCont_Msk               (0x1UL << TPI_FFCR_EnFCont_Pos)             /*!< TPI FFCR: EnFCont Mask */
 
 /* TPI TRIGGER Register Definitions */
-#define TPI_TRIGGER_TRIGGER_Pos             0                                          /*!< TPI TRIGGER: TRIGGER Position */
+#define TPI_TRIGGER_TRIGGER_Pos             0U                                         /*!< TPI TRIGGER: TRIGGER Position */
 #define TPI_TRIGGER_TRIGGER_Msk            (0x1UL /*<< TPI_TRIGGER_TRIGGER_Pos*/)      /*!< TPI TRIGGER: TRIGGER Mask */
 
 /* TPI Integration ETM Data Register Definitions (FIFO0) */
-#define TPI_FIFO0_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO0: ITM_ATVALID Position */
+#define TPI_FIFO0_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO0: ITM_ATVALID Position */
 #define TPI_FIFO0_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ITM_ATVALID_Pos)        /*!< TPI FIFO0: ITM_ATVALID Mask */
 
-#define TPI_FIFO0_ITM_bytecount_Pos        27                                          /*!< TPI FIFO0: ITM_bytecount Position */
+#define TPI_FIFO0_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO0: ITM_bytecount Position */
 #define TPI_FIFO0_ITM_bytecount_Msk        (0x3UL << TPI_FIFO0_ITM_bytecount_Pos)      /*!< TPI FIFO0: ITM_bytecount Mask */
 
-#define TPI_FIFO0_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO0: ETM_ATVALID Position */
+#define TPI_FIFO0_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO0: ETM_ATVALID Position */
 #define TPI_FIFO0_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ETM_ATVALID_Pos)        /*!< TPI FIFO0: ETM_ATVALID Mask */
 
-#define TPI_FIFO0_ETM_bytecount_Pos        24                                          /*!< TPI FIFO0: ETM_bytecount Position */
+#define TPI_FIFO0_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO0: ETM_bytecount Position */
 #define TPI_FIFO0_ETM_bytecount_Msk        (0x3UL << TPI_FIFO0_ETM_bytecount_Pos)      /*!< TPI FIFO0: ETM_bytecount Mask */
 
-#define TPI_FIFO0_ETM2_Pos                 16                                          /*!< TPI FIFO0: ETM2 Position */
+#define TPI_FIFO0_ETM2_Pos                 16U                                         /*!< TPI FIFO0: ETM2 Position */
 #define TPI_FIFO0_ETM2_Msk                 (0xFFUL << TPI_FIFO0_ETM2_Pos)              /*!< TPI FIFO0: ETM2 Mask */
 
-#define TPI_FIFO0_ETM1_Pos                  8                                          /*!< TPI FIFO0: ETM1 Position */
+#define TPI_FIFO0_ETM1_Pos                  8U                                         /*!< TPI FIFO0: ETM1 Position */
 #define TPI_FIFO0_ETM1_Msk                 (0xFFUL << TPI_FIFO0_ETM1_Pos)              /*!< TPI FIFO0: ETM1 Mask */
 
-#define TPI_FIFO0_ETM0_Pos                  0                                          /*!< TPI FIFO0: ETM0 Position */
+#define TPI_FIFO0_ETM0_Pos                  0U                                         /*!< TPI FIFO0: ETM0 Position */
 #define TPI_FIFO0_ETM0_Msk                 (0xFFUL /*<< TPI_FIFO0_ETM0_Pos*/)          /*!< TPI FIFO0: ETM0 Mask */
 
 /* TPI ITATBCTR2 Register Definitions */
-#define TPI_ITATBCTR2_ATREADY_Pos           0                                          /*!< TPI ITATBCTR2: ATREADY Position */
-#define TPI_ITATBCTR2_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR2_ATREADY_Pos*/)    /*!< TPI ITATBCTR2: ATREADY Mask */
+#define TPI_ITATBCTR2_ATREADY2_Pos          0U                                         /*!< TPI ITATBCTR2: ATREADY2 Position */
+#define TPI_ITATBCTR2_ATREADY2_Msk         (0x1UL /*<< TPI_ITATBCTR2_ATREADY2_Pos*/)   /*!< TPI ITATBCTR2: ATREADY2 Mask */
+
+#define TPI_ITATBCTR2_ATREADY1_Pos          0U                                         /*!< TPI ITATBCTR2: ATREADY1 Position */
+#define TPI_ITATBCTR2_ATREADY1_Msk         (0x1UL /*<< TPI_ITATBCTR2_ATREADY1_Pos*/)   /*!< TPI ITATBCTR2: ATREADY1 Mask */
 
 /* TPI Integration ITM Data Register Definitions (FIFO1) */
-#define TPI_FIFO1_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO1: ITM_ATVALID Position */
+#define TPI_FIFO1_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO1: ITM_ATVALID Position */
 #define TPI_FIFO1_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ITM_ATVALID_Pos)        /*!< TPI FIFO1: ITM_ATVALID Mask */
 
-#define TPI_FIFO1_ITM_bytecount_Pos        27                                          /*!< TPI FIFO1: ITM_bytecount Position */
+#define TPI_FIFO1_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO1: ITM_bytecount Position */
 #define TPI_FIFO1_ITM_bytecount_Msk        (0x3UL << TPI_FIFO1_ITM_bytecount_Pos)      /*!< TPI FIFO1: ITM_bytecount Mask */
 
-#define TPI_FIFO1_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO1: ETM_ATVALID Position */
+#define TPI_FIFO1_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO1: ETM_ATVALID Position */
 #define TPI_FIFO1_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ETM_ATVALID_Pos)        /*!< TPI FIFO1: ETM_ATVALID Mask */
 
-#define TPI_FIFO1_ETM_bytecount_Pos        24                                          /*!< TPI FIFO1: ETM_bytecount Position */
+#define TPI_FIFO1_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO1: ETM_bytecount Position */
 #define TPI_FIFO1_ETM_bytecount_Msk        (0x3UL << TPI_FIFO1_ETM_bytecount_Pos)      /*!< TPI FIFO1: ETM_bytecount Mask */
 
-#define TPI_FIFO1_ITM2_Pos                 16                                          /*!< TPI FIFO1: ITM2 Position */
+#define TPI_FIFO1_ITM2_Pos                 16U                                         /*!< TPI FIFO1: ITM2 Position */
 #define TPI_FIFO1_ITM2_Msk                 (0xFFUL << TPI_FIFO1_ITM2_Pos)              /*!< TPI FIFO1: ITM2 Mask */
 
-#define TPI_FIFO1_ITM1_Pos                  8                                          /*!< TPI FIFO1: ITM1 Position */
+#define TPI_FIFO1_ITM1_Pos                  8U                                         /*!< TPI FIFO1: ITM1 Position */
 #define TPI_FIFO1_ITM1_Msk                 (0xFFUL << TPI_FIFO1_ITM1_Pos)              /*!< TPI FIFO1: ITM1 Mask */
 
-#define TPI_FIFO1_ITM0_Pos                  0                                          /*!< TPI FIFO1: ITM0 Position */
+#define TPI_FIFO1_ITM0_Pos                  0U                                         /*!< TPI FIFO1: ITM0 Position */
 #define TPI_FIFO1_ITM0_Msk                 (0xFFUL /*<< TPI_FIFO1_ITM0_Pos*/)          /*!< TPI FIFO1: ITM0 Mask */
 
 /* TPI ITATBCTR0 Register Definitions */
-#define TPI_ITATBCTR0_ATREADY_Pos           0                                          /*!< TPI ITATBCTR0: ATREADY Position */
-#define TPI_ITATBCTR0_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR0_ATREADY_Pos*/)    /*!< TPI ITATBCTR0: ATREADY Mask */
+#define TPI_ITATBCTR0_ATREADY2_Pos          0U                                         /*!< TPI ITATBCTR0: ATREADY2 Position */
+#define TPI_ITATBCTR0_ATREADY2_Msk         (0x1UL /*<< TPI_ITATBCTR0_ATREADY2_Pos*/)   /*!< TPI ITATBCTR0: ATREADY2 Mask */
+
+#define TPI_ITATBCTR0_ATREADY1_Pos          0U                                         /*!< TPI ITATBCTR0: ATREADY1 Position */
+#define TPI_ITATBCTR0_ATREADY1_Msk         (0x1UL /*<< TPI_ITATBCTR0_ATREADY1_Pos*/)   /*!< TPI ITATBCTR0: ATREADY1 Mask */
 
 /* TPI Integration Mode Control Register Definitions */
-#define TPI_ITCTRL_Mode_Pos                 0                                          /*!< TPI ITCTRL: Mode Position */
-#define TPI_ITCTRL_Mode_Msk                (0x1UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
+#define TPI_ITCTRL_Mode_Pos                 0U                                         /*!< TPI ITCTRL: Mode Position */
+#define TPI_ITCTRL_Mode_Msk                (0x3UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
 
 /* TPI DEVID Register Definitions */
-#define TPI_DEVID_NRZVALID_Pos             11                                          /*!< TPI DEVID: NRZVALID Position */
+#define TPI_DEVID_NRZVALID_Pos             11U                                         /*!< TPI DEVID: NRZVALID Position */
 #define TPI_DEVID_NRZVALID_Msk             (0x1UL << TPI_DEVID_NRZVALID_Pos)           /*!< TPI DEVID: NRZVALID Mask */
 
-#define TPI_DEVID_MANCVALID_Pos            10                                          /*!< TPI DEVID: MANCVALID Position */
+#define TPI_DEVID_MANCVALID_Pos            10U                                         /*!< TPI DEVID: MANCVALID Position */
 #define TPI_DEVID_MANCVALID_Msk            (0x1UL << TPI_DEVID_MANCVALID_Pos)          /*!< TPI DEVID: MANCVALID Mask */
 
-#define TPI_DEVID_PTINVALID_Pos             9                                          /*!< TPI DEVID: PTINVALID Position */
+#define TPI_DEVID_PTINVALID_Pos             9U                                         /*!< TPI DEVID: PTINVALID Position */
 #define TPI_DEVID_PTINVALID_Msk            (0x1UL << TPI_DEVID_PTINVALID_Pos)          /*!< TPI DEVID: PTINVALID Mask */
 
-#define TPI_DEVID_MinBufSz_Pos              6                                          /*!< TPI DEVID: MinBufSz Position */
+#define TPI_DEVID_MinBufSz_Pos              6U                                         /*!< TPI DEVID: MinBufSz Position */
 #define TPI_DEVID_MinBufSz_Msk             (0x7UL << TPI_DEVID_MinBufSz_Pos)           /*!< TPI DEVID: MinBufSz Mask */
 
-#define TPI_DEVID_AsynClkIn_Pos             5                                          /*!< TPI DEVID: AsynClkIn Position */
+#define TPI_DEVID_AsynClkIn_Pos             5U                                         /*!< TPI DEVID: AsynClkIn Position */
 #define TPI_DEVID_AsynClkIn_Msk            (0x1UL << TPI_DEVID_AsynClkIn_Pos)          /*!< TPI DEVID: AsynClkIn Mask */
 
-#define TPI_DEVID_NrTraceInput_Pos          0                                          /*!< TPI DEVID: NrTraceInput Position */
+#define TPI_DEVID_NrTraceInput_Pos          0U                                         /*!< TPI DEVID: NrTraceInput Position */
 #define TPI_DEVID_NrTraceInput_Msk         (0x1FUL /*<< TPI_DEVID_NrTraceInput_Pos*/)  /*!< TPI DEVID: NrTraceInput Mask */
 
 /* TPI DEVTYPE Register Definitions */
-#define TPI_DEVTYPE_MajorType_Pos           4                                          /*!< TPI DEVTYPE: MajorType Position */
-#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
-
-#define TPI_DEVTYPE_SubType_Pos             0                                          /*!< TPI DEVTYPE: SubType Position */
+#define TPI_DEVTYPE_SubType_Pos             4U                                         /*!< TPI DEVTYPE: SubType Position */
 #define TPI_DEVTYPE_SubType_Msk            (0xFUL /*<< TPI_DEVTYPE_SubType_Pos*/)      /*!< TPI DEVTYPE: SubType Mask */
 
+#define TPI_DEVTYPE_MajorType_Pos           0U                                         /*!< TPI DEVTYPE: MajorType Position */
+#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
+
 /*@}*/ /* end of group CMSIS_TPI */
 
 
-#if (__MPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
-    \brief      Type definitions for the Memory Protection Unit (MPU)
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
   @{
  */
 
-/** \brief  Structure type to access the Memory Protection Unit (MPU).
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
  */
 typedef struct
 {
-  __I  uint32_t TYPE;                    /*!< Offset: 0x000 (R/ )  MPU Type Register                              */
-  __IO uint32_t CTRL;                    /*!< Offset: 0x004 (R/W)  MPU Control Register                           */
-  __IO uint32_t RNR;                     /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register                     */
-  __IO uint32_t RBAR;                    /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register               */
-  __IO uint32_t RASR;                    /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register         */
-  __IO uint32_t RBAR_A1;                 /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register       */
-  __IO uint32_t RASR_A1;                 /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A2;                 /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register       */
-  __IO uint32_t RASR_A2;                 /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A3;                 /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register       */
-  __IO uint32_t RASR_A3;                 /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A1;                /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register */
+  __IOM uint32_t RASR_A1;                /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A2;                /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register */
+  __IOM uint32_t RASR_A2;                /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A3;                /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register */
+  __IOM uint32_t RASR_A3;                /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
 } MPU_Type;
 
-/* MPU Type Register */
-#define MPU_TYPE_IREGION_Pos               16                                             /*!< MPU TYPE: IREGION Position */
+#define MPU_TYPE_RALIASES                  4U
+
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
 #define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
 
-#define MPU_TYPE_DREGION_Pos                8                                             /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
 #define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
 
-#define MPU_TYPE_SEPARATE_Pos               0                                             /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
 #define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
 
-/* MPU Control Register */
-#define MPU_CTRL_PRIVDEFENA_Pos             2                                             /*!< MPU CTRL: PRIVDEFENA Position */
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
 #define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
 
-#define MPU_CTRL_HFNMIENA_Pos               1                                             /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
 #define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
 
-#define MPU_CTRL_ENABLE_Pos                 0                                             /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
 #define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
 
-/* MPU Region Number Register */
-#define MPU_RNR_REGION_Pos                  0                                             /*!< MPU RNR: REGION Position */
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
 #define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
 
-/* MPU Region Base Address Register */
-#define MPU_RBAR_ADDR_Pos                   5                                             /*!< MPU RBAR: ADDR Position */
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   5U                                            /*!< MPU RBAR: ADDR Position */
 #define MPU_RBAR_ADDR_Msk                  (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos)             /*!< MPU RBAR: ADDR Mask */
 
-#define MPU_RBAR_VALID_Pos                  4                                             /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
 #define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
 
-#define MPU_RBAR_REGION_Pos                 0                                             /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
 #define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
 
-/* MPU Region Attribute and Size Register */
-#define MPU_RASR_ATTRS_Pos                 16                                             /*!< MPU RASR: MPU Region Attribute field Position */
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
 #define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
 
-#define MPU_RASR_XN_Pos                    28                                             /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
 #define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
 
-#define MPU_RASR_AP_Pos                    24                                             /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
 #define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
 
-#define MPU_RASR_TEX_Pos                   19                                             /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
 #define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
 
-#define MPU_RASR_S_Pos                     18                                             /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
 #define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
 
-#define MPU_RASR_C_Pos                     17                                             /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
 #define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
 
-#define MPU_RASR_B_Pos                     16                                             /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
 #define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
 
-#define MPU_RASR_SRD_Pos                    8                                             /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
 #define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
 
-#define MPU_RASR_SIZE_Pos                   1                                             /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
 #define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
 
-#define MPU_RASR_ENABLE_Pos                 0                                             /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
 #define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
 
 /*@} end of group CMSIS_MPU */
 #endif
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
-    \brief      Type definitions for the Core Debug Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Type definitions for the Core Debug Registers
   @{
  */
 
-/** \brief  Structure type to access the Core Debug Register (CoreDebug).
+/**
+  \brief  Structure type to access the Core Debug Register (CoreDebug).
  */
 typedef struct
 {
-  __IO uint32_t DHCSR;                   /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register    */
-  __O  uint32_t DCRSR;                   /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register        */
-  __IO uint32_t DCRDR;                   /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register            */
-  __IO uint32_t DEMCR;                   /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
+  __IOM uint32_t DHCSR;                  /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register */
+  __OM  uint32_t DCRSR;                  /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register */
+  __IOM uint32_t DCRDR;                  /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register */
+  __IOM uint32_t DEMCR;                  /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
 } CoreDebug_Type;
 
-/* Debug Halting Control and Status Register */
-#define CoreDebug_DHCSR_DBGKEY_Pos         16                                             /*!< CoreDebug DHCSR: DBGKEY Position */
+/* Debug Halting Control and Status Register Definitions */
+#define CoreDebug_DHCSR_DBGKEY_Pos         16U                                            /*!< CoreDebug DHCSR: DBGKEY Position */
 #define CoreDebug_DHCSR_DBGKEY_Msk         (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos)       /*!< CoreDebug DHCSR: DBGKEY Mask */
 
-#define CoreDebug_DHCSR_S_RESET_ST_Pos     25                                             /*!< CoreDebug DHCSR: S_RESET_ST Position */
+#define CoreDebug_DHCSR_S_RESET_ST_Pos     25U                                            /*!< CoreDebug DHCSR: S_RESET_ST Position */
 #define CoreDebug_DHCSR_S_RESET_ST_Msk     (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos)        /*!< CoreDebug DHCSR: S_RESET_ST Mask */
 
-#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24                                             /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
+#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24U                                            /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
 #define CoreDebug_DHCSR_S_RETIRE_ST_Msk    (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos)       /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */
 
-#define CoreDebug_DHCSR_S_LOCKUP_Pos       19                                             /*!< CoreDebug DHCSR: S_LOCKUP Position */
+#define CoreDebug_DHCSR_S_LOCKUP_Pos       19U                                            /*!< CoreDebug DHCSR: S_LOCKUP Position */
 #define CoreDebug_DHCSR_S_LOCKUP_Msk       (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos)          /*!< CoreDebug DHCSR: S_LOCKUP Mask */
 
-#define CoreDebug_DHCSR_S_SLEEP_Pos        18                                             /*!< CoreDebug DHCSR: S_SLEEP Position */
+#define CoreDebug_DHCSR_S_SLEEP_Pos        18U                                            /*!< CoreDebug DHCSR: S_SLEEP Position */
 #define CoreDebug_DHCSR_S_SLEEP_Msk        (1UL << CoreDebug_DHCSR_S_SLEEP_Pos)           /*!< CoreDebug DHCSR: S_SLEEP Mask */
 
-#define CoreDebug_DHCSR_S_HALT_Pos         17                                             /*!< CoreDebug DHCSR: S_HALT Position */
+#define CoreDebug_DHCSR_S_HALT_Pos         17U                                            /*!< CoreDebug DHCSR: S_HALT Position */
 #define CoreDebug_DHCSR_S_HALT_Msk         (1UL << CoreDebug_DHCSR_S_HALT_Pos)            /*!< CoreDebug DHCSR: S_HALT Mask */
 
-#define CoreDebug_DHCSR_S_REGRDY_Pos       16                                             /*!< CoreDebug DHCSR: S_REGRDY Position */
+#define CoreDebug_DHCSR_S_REGRDY_Pos       16U                                            /*!< CoreDebug DHCSR: S_REGRDY Position */
 #define CoreDebug_DHCSR_S_REGRDY_Msk       (1UL << CoreDebug_DHCSR_S_REGRDY_Pos)          /*!< CoreDebug DHCSR: S_REGRDY Mask */
 
-#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5                                             /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
+#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5U                                            /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
 #define CoreDebug_DHCSR_C_SNAPSTALL_Msk    (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos)       /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */
 
-#define CoreDebug_DHCSR_C_MASKINTS_Pos      3                                             /*!< CoreDebug DHCSR: C_MASKINTS Position */
+#define CoreDebug_DHCSR_C_MASKINTS_Pos      3U                                            /*!< CoreDebug DHCSR: C_MASKINTS Position */
 #define CoreDebug_DHCSR_C_MASKINTS_Msk     (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos)        /*!< CoreDebug DHCSR: C_MASKINTS Mask */
 
-#define CoreDebug_DHCSR_C_STEP_Pos          2                                             /*!< CoreDebug DHCSR: C_STEP Position */
+#define CoreDebug_DHCSR_C_STEP_Pos          2U                                            /*!< CoreDebug DHCSR: C_STEP Position */
 #define CoreDebug_DHCSR_C_STEP_Msk         (1UL << CoreDebug_DHCSR_C_STEP_Pos)            /*!< CoreDebug DHCSR: C_STEP Mask */
 
-#define CoreDebug_DHCSR_C_HALT_Pos          1                                             /*!< CoreDebug DHCSR: C_HALT Position */
+#define CoreDebug_DHCSR_C_HALT_Pos          1U                                            /*!< CoreDebug DHCSR: C_HALT Position */
 #define CoreDebug_DHCSR_C_HALT_Msk         (1UL << CoreDebug_DHCSR_C_HALT_Pos)            /*!< CoreDebug DHCSR: C_HALT Mask */
 
-#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0                                             /*!< CoreDebug DHCSR: C_DEBUGEN Position */
+#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0U                                            /*!< CoreDebug DHCSR: C_DEBUGEN Position */
 #define CoreDebug_DHCSR_C_DEBUGEN_Msk      (1UL /*<< CoreDebug_DHCSR_C_DEBUGEN_Pos*/)     /*!< CoreDebug DHCSR: C_DEBUGEN Mask */
 
-/* Debug Core Register Selector Register */
-#define CoreDebug_DCRSR_REGWnR_Pos         16                                             /*!< CoreDebug DCRSR: REGWnR Position */
+/* Debug Core Register Selector Register Definitions */
+#define CoreDebug_DCRSR_REGWnR_Pos         16U                                            /*!< CoreDebug DCRSR: REGWnR Position */
 #define CoreDebug_DCRSR_REGWnR_Msk         (1UL << CoreDebug_DCRSR_REGWnR_Pos)            /*!< CoreDebug DCRSR: REGWnR Mask */
 
-#define CoreDebug_DCRSR_REGSEL_Pos          0                                             /*!< CoreDebug DCRSR: REGSEL Position */
+#define CoreDebug_DCRSR_REGSEL_Pos          0U                                            /*!< CoreDebug DCRSR: REGSEL Position */
 #define CoreDebug_DCRSR_REGSEL_Msk         (0x1FUL /*<< CoreDebug_DCRSR_REGSEL_Pos*/)     /*!< CoreDebug DCRSR: REGSEL Mask */
 
-/* Debug Exception and Monitor Control Register */
-#define CoreDebug_DEMCR_TRCENA_Pos         24                                             /*!< CoreDebug DEMCR: TRCENA Position */
+/* Debug Exception and Monitor Control Register Definitions */
+#define CoreDebug_DEMCR_TRCENA_Pos         24U                                            /*!< CoreDebug DEMCR: TRCENA Position */
 #define CoreDebug_DEMCR_TRCENA_Msk         (1UL << CoreDebug_DEMCR_TRCENA_Pos)            /*!< CoreDebug DEMCR: TRCENA Mask */
 
-#define CoreDebug_DEMCR_MON_REQ_Pos        19                                             /*!< CoreDebug DEMCR: MON_REQ Position */
+#define CoreDebug_DEMCR_MON_REQ_Pos        19U                                            /*!< CoreDebug DEMCR: MON_REQ Position */
 #define CoreDebug_DEMCR_MON_REQ_Msk        (1UL << CoreDebug_DEMCR_MON_REQ_Pos)           /*!< CoreDebug DEMCR: MON_REQ Mask */
 
-#define CoreDebug_DEMCR_MON_STEP_Pos       18                                             /*!< CoreDebug DEMCR: MON_STEP Position */
+#define CoreDebug_DEMCR_MON_STEP_Pos       18U                                            /*!< CoreDebug DEMCR: MON_STEP Position */
 #define CoreDebug_DEMCR_MON_STEP_Msk       (1UL << CoreDebug_DEMCR_MON_STEP_Pos)          /*!< CoreDebug DEMCR: MON_STEP Mask */
 
-#define CoreDebug_DEMCR_MON_PEND_Pos       17                                             /*!< CoreDebug DEMCR: MON_PEND Position */
+#define CoreDebug_DEMCR_MON_PEND_Pos       17U                                            /*!< CoreDebug DEMCR: MON_PEND Position */
 #define CoreDebug_DEMCR_MON_PEND_Msk       (1UL << CoreDebug_DEMCR_MON_PEND_Pos)          /*!< CoreDebug DEMCR: MON_PEND Mask */
 
-#define CoreDebug_DEMCR_MON_EN_Pos         16                                             /*!< CoreDebug DEMCR: MON_EN Position */
+#define CoreDebug_DEMCR_MON_EN_Pos         16U                                            /*!< CoreDebug DEMCR: MON_EN Position */
 #define CoreDebug_DEMCR_MON_EN_Msk         (1UL << CoreDebug_DEMCR_MON_EN_Pos)            /*!< CoreDebug DEMCR: MON_EN Mask */
 
-#define CoreDebug_DEMCR_VC_HARDERR_Pos     10                                             /*!< CoreDebug DEMCR: VC_HARDERR Position */
+#define CoreDebug_DEMCR_VC_HARDERR_Pos     10U                                            /*!< CoreDebug DEMCR: VC_HARDERR Position */
 #define CoreDebug_DEMCR_VC_HARDERR_Msk     (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos)        /*!< CoreDebug DEMCR: VC_HARDERR Mask */
 
-#define CoreDebug_DEMCR_VC_INTERR_Pos       9                                             /*!< CoreDebug DEMCR: VC_INTERR Position */
+#define CoreDebug_DEMCR_VC_INTERR_Pos       9U                                            /*!< CoreDebug DEMCR: VC_INTERR Position */
 #define CoreDebug_DEMCR_VC_INTERR_Msk      (1UL << CoreDebug_DEMCR_VC_INTERR_Pos)         /*!< CoreDebug DEMCR: VC_INTERR Mask */
 
-#define CoreDebug_DEMCR_VC_BUSERR_Pos       8                                             /*!< CoreDebug DEMCR: VC_BUSERR Position */
+#define CoreDebug_DEMCR_VC_BUSERR_Pos       8U                                            /*!< CoreDebug DEMCR: VC_BUSERR Position */
 #define CoreDebug_DEMCR_VC_BUSERR_Msk      (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos)         /*!< CoreDebug DEMCR: VC_BUSERR Mask */
 
-#define CoreDebug_DEMCR_VC_STATERR_Pos      7                                             /*!< CoreDebug DEMCR: VC_STATERR Position */
+#define CoreDebug_DEMCR_VC_STATERR_Pos      7U                                            /*!< CoreDebug DEMCR: VC_STATERR Position */
 #define CoreDebug_DEMCR_VC_STATERR_Msk     (1UL << CoreDebug_DEMCR_VC_STATERR_Pos)        /*!< CoreDebug DEMCR: VC_STATERR Mask */
 
-#define CoreDebug_DEMCR_VC_CHKERR_Pos       6                                             /*!< CoreDebug DEMCR: VC_CHKERR Position */
+#define CoreDebug_DEMCR_VC_CHKERR_Pos       6U                                            /*!< CoreDebug DEMCR: VC_CHKERR Position */
 #define CoreDebug_DEMCR_VC_CHKERR_Msk      (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos)         /*!< CoreDebug DEMCR: VC_CHKERR Mask */
 
-#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5                                             /*!< CoreDebug DEMCR: VC_NOCPERR Position */
+#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5U                                            /*!< CoreDebug DEMCR: VC_NOCPERR Position */
 #define CoreDebug_DEMCR_VC_NOCPERR_Msk     (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos)        /*!< CoreDebug DEMCR: VC_NOCPERR Mask */
 
-#define CoreDebug_DEMCR_VC_MMERR_Pos        4                                             /*!< CoreDebug DEMCR: VC_MMERR Position */
+#define CoreDebug_DEMCR_VC_MMERR_Pos        4U                                            /*!< CoreDebug DEMCR: VC_MMERR Position */
 #define CoreDebug_DEMCR_VC_MMERR_Msk       (1UL << CoreDebug_DEMCR_VC_MMERR_Pos)          /*!< CoreDebug DEMCR: VC_MMERR Mask */
 
-#define CoreDebug_DEMCR_VC_CORERESET_Pos    0                                             /*!< CoreDebug DEMCR: VC_CORERESET Position */
+#define CoreDebug_DEMCR_VC_CORERESET_Pos    0U                                            /*!< CoreDebug DEMCR: VC_CORERESET Position */
 #define CoreDebug_DEMCR_VC_CORERESET_Msk   (1UL /*<< CoreDebug_DEMCR_VC_CORERESET_Pos*/)  /*!< CoreDebug DEMCR: VC_CORERESET Mask */
 
 /*@} end of group CMSIS_CoreDebug */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_core_base     Core Definitions
-    \brief      Definitions for base addresses, unions, and structures.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    (((uint32_t)(value) << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    (((uint32_t)(value) & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
   @{
  */
 
-/* Memory mapping of Cortex-M3 Hardware */
-#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address  */
-#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address                   */
-#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address                   */
-#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address                   */
-#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address            */
-#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address               */
-#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address                  */
-#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address  */
+/* Memory mapping of Core Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address */
+#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address */
+#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address */
+#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
 
 #define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
-#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct           */
-#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct       */
-#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct          */
-#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct           */
-#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct           */
-#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct           */
-#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct    */
-
-#if (__MPU_PRESENT == 1)
-  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit             */
-  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit             */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct */
+#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct */
+#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct */
+#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct */
+
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
 #endif
 
 /*@} */
@@ -1325,187 +1415,273 @@ typedef struct
   - Core Debug Functions
   - Core Register Access Functions
  ******************************************************************************/
-/** \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
 */
 
 
 
 /* ##########################   NVIC functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_NVICFunctions NVIC Functions
-    \brief      Functions that manage interrupts and exceptions via the NVIC.
-    @{
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
  */
 
-/** \brief  Set Priority Grouping
+#ifdef CMSIS_NVIC_VIRTUAL
+  #ifndef CMSIS_NVIC_VIRTUAL_HEADER_FILE
+    #define CMSIS_NVIC_VIRTUAL_HEADER_FILE "cmsis_nvic_virtual.h"
+  #endif
+  #include CMSIS_NVIC_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetPriorityGrouping    __NVIC_SetPriorityGrouping
+  #define NVIC_GetPriorityGrouping    __NVIC_GetPriorityGrouping
+  #define NVIC_EnableIRQ              __NVIC_EnableIRQ
+  #define NVIC_GetEnableIRQ           __NVIC_GetEnableIRQ
+  #define NVIC_DisableIRQ             __NVIC_DisableIRQ
+  #define NVIC_GetPendingIRQ          __NVIC_GetPendingIRQ
+  #define NVIC_SetPendingIRQ          __NVIC_SetPendingIRQ
+  #define NVIC_ClearPendingIRQ        __NVIC_ClearPendingIRQ
+  #define NVIC_GetActive              __NVIC_GetActive
+  #define NVIC_SetPriority            __NVIC_SetPriority
+  #define NVIC_GetPriority            __NVIC_GetPriority
+  #define NVIC_SystemReset            __NVIC_SystemReset
+#endif /* CMSIS_NVIC_VIRTUAL */
+
+#ifdef CMSIS_VECTAB_VIRTUAL
+  #ifndef CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+   #define CMSIS_VECTAB_VIRTUAL_HEADER_FILE "cmsis_vectab_virtual.h"
+  #endif
+  #include CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetVector              __NVIC_SetVector
+  #define NVIC_GetVector              __NVIC_GetVector
+#endif  /* (CMSIS_VECTAB_VIRTUAL) */
+
+#define NVIC_USER_IRQ_OFFSET          16
 
-  The function sets the priority grouping field using the required unlock sequence.
-  The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
-  Only values from 0..7 are used.
-  In case of a conflict between priority grouping and available
-  priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
 
-    \param [in]      PriorityGroup  Priority grouping field.
+/* The following EXC_RETURN values are saved the LR on exception entry */
+#define EXC_RETURN_HANDLER         (0xFFFFFFF1UL)     /* return to Handler mode, uses MSP after return                               */
+#define EXC_RETURN_THREAD_MSP      (0xFFFFFFF9UL)     /* return to Thread mode, uses MSP after return                                */
+#define EXC_RETURN_THREAD_PSP      (0xFFFFFFFDUL)     /* return to Thread mode, uses PSP after return                                */
+
+
+/**
+  \brief   Set Priority Grouping
+  \details Sets the priority grouping field using the required unlock sequence.
+           The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
+           Only values from 0..7 are used.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]      PriorityGroup  Priority grouping field.
  */
-__STATIC_INLINE void NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
+__STATIC_INLINE void __NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
 {
   uint32_t reg_value;
   uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);             /* only values 0..7 are used          */
 
   reg_value  =  SCB->AIRCR;                                                   /* read old register configuration    */
-  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk));             /* clear bits to change               */
+  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk)); /* clear bits to change               */
   reg_value  =  (reg_value                                   |
                 ((uint32_t)0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
-                (PriorityGroupTmp << 8)                       );              /* Insert write key and priorty group */
+                (PriorityGroupTmp << SCB_AIRCR_PRIGROUP_Pos) );               /* Insert write key and priority group */
   SCB->AIRCR =  reg_value;
 }
 
 
-/** \brief  Get Priority Grouping
-
-  The function reads the priority grouping field from the NVIC Interrupt Controller.
-
-    \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
+/**
+  \brief   Get Priority Grouping
+  \details Reads the priority grouping field from the NVIC Interrupt Controller.
+  \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
  */
-__STATIC_INLINE uint32_t NVIC_GetPriorityGrouping(void)
+__STATIC_INLINE uint32_t __NVIC_GetPriorityGrouping(void)
 {
   return ((uint32_t)((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos));
 }
 
 
-/** \brief  Enable External Interrupt
-
-    The function enables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Enable Interrupt
+  \details Enables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_EnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISER[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Disable External Interrupt
-
-    The function disables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Get Interrupt Enable status
+  \details Returns a device specific interrupt enable status from the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt is not enabled.
+  \return             1  Interrupt is enabled.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetEnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISER[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Get Pending Interrupt
-
-    The function reads the pending register in the NVIC and returns the pending bit
-    for the specified interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not pending.
-    \return             1  Interrupt status is pending.
+/**
+  \brief   Disable Interrupt
+  \details Disables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_DisableIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICER[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+    __DSB();
+    __ISB();
+  }
 }
 
 
-/** \brief  Set Pending Interrupt
-
-    The function sets the pending bit of an external interrupt.
-
-    \param [in]      IRQn  Interrupt number. Value cannot be negative.
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the NVIC pending register and returns the pending bit for the specified device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISPR[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Clear Pending Interrupt
-
-    The function clears the pending bit of an external interrupt.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_SetPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISPR[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Get Active Interrupt
-
-    The function reads the active register in NVIC and returns the active bit.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not active.
-    \return             1  Interrupt status is active.
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetActive(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_ClearPendingIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->IABR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICPR[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Set Interrupt Priority
-
-    The function sets the priority of an interrupt.
-
-    \note The priority cannot be set for every core interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-    \param [in]  priority  Priority to set.
+/**
+  \brief   Get Active Interrupt
+  \details Reads the active register in the NVIC and returns the active bit for the device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not active.
+  \return             1  Interrupt status is active.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+__STATIC_INLINE uint32_t __NVIC_GetActive(IRQn_Type IRQn)
 {
-  if((int32_t)IRQn < 0) {
-    SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->IABR[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
   }
-  else {
-    NVIC->IP[((uint32_t)(int32_t)IRQn)]               = (uint8_t)((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  else
+  {
+    return(0U);
   }
 }
 
 
-/** \brief  Get Interrupt Priority
-
-    The function reads the priority of an interrupt. The interrupt
-    number can be positive to specify an external (device specific)
-    interrupt, or negative to specify an internal (core) interrupt.
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+  \note    The priority cannot be set for every processor exception.
+ */
+__STATIC_INLINE void __NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->IP[((uint32_t)IRQn)]               = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+  else
+  {
+    SCB->SHP[(((uint32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+}
 
 
-    \param [in]   IRQn  Interrupt number.
-    \return             Interrupt Priority. Value is aligned automatically to the implemented
-                        priority bits of the microcontroller.
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
  */
-__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPriority(IRQn_Type IRQn)
 {
 
-  if((int32_t)IRQn < 0) {
-    return(((uint32_t)SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] >> (8 - __NVIC_PRIO_BITS)));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return(((uint32_t)NVIC->IP[((uint32_t)IRQn)]               >> (8U - __NVIC_PRIO_BITS)));
   }
-  else {
-    return(((uint32_t)NVIC->IP[((uint32_t)(int32_t)IRQn)]               >> (8 - __NVIC_PRIO_BITS)));
+  else
+  {
+    return(((uint32_t)SCB->SHP[(((uint32_t)IRQn) & 0xFUL)-4UL] >> (8U - __NVIC_PRIO_BITS)));
   }
 }
 
 
-/** \brief  Encode Priority
-
-    The function encodes the priority for an interrupt with the given priority group,
-    preemptive priority value, and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
-
-    \param [in]     PriorityGroup  Used priority group.
-    \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
-    \param [in]       SubPriority  Subpriority value (starting from 0).
-    \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
+/**
+  \brief   Encode Priority
+  \details Encodes the priority for an interrupt with the given priority group,
+           preemptive priority value, and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]     PriorityGroup  Used priority group.
+  \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
+  \param [in]       SubPriority  Subpriority value (starting from 0).
+  \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
  */
 __STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
 {
@@ -1523,19 +1699,18 @@ __STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t P
 }
 
 
-/** \brief  Decode Priority
-
-    The function decodes an interrupt priority value with a given priority group to
-    preemptive priority value and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
-
-    \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
-    \param [in]     PriorityGroup  Used priority group.
-    \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
-    \param [out]     pSubPriority  Subpriority value (starting from 0).
+/**
+  \brief   Decode Priority
+  \details Decodes an interrupt priority value with a given priority group to
+           preemptive priority value and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
+  \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
+  \param [in]     PriorityGroup  Used priority group.
+  \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
+  \param [out]     pSubPriority  Subpriority value (starting from 0).
  */
-__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* pPreemptPriority, uint32_t* pSubPriority)
+__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority)
 {
   uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
   uint32_t PreemptPriorityBits;
@@ -1549,11 +1724,42 @@ __STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGr
 }
 
 
-/** \brief  System Reset
+/**
+  \brief   Set Interrupt Vector
+  \details Sets an interrupt vector in SRAM based interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+           VTOR must been relocated to SRAM before.
+  \param [in]   IRQn      Interrupt number
+  \param [in]   vector    Address of interrupt handler function
+ */
+__STATIC_INLINE void __NVIC_SetVector(IRQn_Type IRQn, uint32_t vector)
+{
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+  vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET] = vector;
+}
+
 
-    The function initiates a system reset request to reset the MCU.
+/**
+  \brief   Get Interrupt Vector
+  \details Reads an interrupt vector from interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn      Interrupt number.
+  \return                 Address of interrupt handler function
  */
-__STATIC_INLINE void NVIC_SystemReset(void)
+__STATIC_INLINE uint32_t __NVIC_GetVector(IRQn_Type IRQn)
+{
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+  return vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET];
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__NO_RETURN __STATIC_INLINE void __NVIC_SystemReset(void)
 {
   __DSB();                                                          /* Ensure all outstanding memory accesses included
                                                                        buffered write are completed before reset */
@@ -1561,40 +1767,76 @@ __STATIC_INLINE void NVIC_SystemReset(void)
                            (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) |
                             SCB_AIRCR_SYSRESETREQ_Msk    );         /* Keep priority group unchanged */
   __DSB();                                                          /* Ensure completion of memory access */
-  while(1) { __NOP(); }                                             /* wait until reset */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
 }
 
 /*@} end of CMSIS_Core_NVICFunctions */
 
+/* ##########################  MPU functions  #################################### */
 
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
 
-/* ##################################    SysTick function  ############################################ */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
-    \brief      Functions that configure the System.
+#include "mpu_armv7.h"
+
+#endif
+
+/* ##########################  FPU functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_FpuFunctions FPU Functions
+  \brief    Function that provides FPU type.
   @{
  */
 
-#if (__Vendor_SysTickConfig == 0)
+/**
+  \brief   get FPU type
+  \details returns the FPU type
+  \returns
+   - \b  0: No FPU
+   - \b  1: Single precision FPU
+   - \b  2: Double + Single precision FPU
+ */
+__STATIC_INLINE uint32_t SCB_GetFPUType(void)
+{
+    return 0U;           /* No FPU */
+}
+
 
-/** \brief  System Tick Configuration
+/*@} end of CMSIS_Core_FpuFunctions */
 
-    The function initializes the System Timer and its interrupt, and starts the System Tick Timer.
-    Counter is in free running mode to generate periodic interrupts.
 
-    \param [in]  ticks  Number of ticks between two interrupts.
 
-    \return          0  Function succeeded.
-    \return          1  Function failed.
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
 
-    \note     When the variable __Vendor_SysTickConfig is set to 1, then the
-    function SysTick_Config is not included. In this case, the file device.h
-    must contain a vendor-specific implementation of this function.
+#if defined (__Vendor_SysTickConfig) && (__Vendor_SysTickConfig == 0U)
 
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable __Vendor_SysTickConfig is set to 1, then the
+           function SysTick_Config is not included. In this case, the file device.h
+           must contain a vendor-specific implementation of this function.
  */
 __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 {
-  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk) { return (1UL); }    /* Reload value impossible */
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
 
   SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
   NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
@@ -1612,49 +1854,52 @@ __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 
 
 /* ##################################### Debug In/Output function ########################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_core_DebugFunctions ITM Functions
-    \brief   Functions that access the ITM debug interface.
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_core_DebugFunctions ITM Functions
+  \brief    Functions that access the ITM debug interface.
   @{
  */
 
-extern volatile int32_t ITM_RxBuffer;                    /*!< External variable to receive characters.                         */
-#define                 ITM_RXBUFFER_EMPTY    0x5AA55AA5 /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
-
-
-/** \brief  ITM Send Character
-
-    The function transmits a character via the ITM channel 0, and
-    \li Just returns when no debugger is connected that has booked the output.
-    \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
+extern volatile int32_t ITM_RxBuffer;                              /*!< External variable to receive characters. */
+#define                 ITM_RXBUFFER_EMPTY  ((int32_t)0x5AA55AA5U) /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
 
-    \param [in]     ch  Character to transmit.
 
-    \returns            Character to transmit.
+/**
+  \brief   ITM Send Character
+  \details Transmits a character via the ITM channel 0, and
+           \li Just returns when no debugger is connected that has booked the output.
+           \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
+  \param [in]     ch  Character to transmit.
+  \returns            Character to transmit.
  */
 __STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch)
 {
   if (((ITM->TCR & ITM_TCR_ITMENA_Msk) != 0UL) &&      /* ITM enabled */
       ((ITM->TER & 1UL               ) != 0UL)   )     /* ITM Port #0 enabled */
   {
-    while (ITM->PORT[0].u32 == 0UL) { __NOP(); }
-    ITM->PORT[0].u8 = (uint8_t)ch;
+    while (ITM->PORT[0U].u32 == 0UL)
+    {
+      __NOP();
+    }
+    ITM->PORT[0U].u8 = (uint8_t)ch;
   }
   return (ch);
 }
 
 
-/** \brief  ITM Receive Character
-
-    The function inputs a character via the external variable \ref ITM_RxBuffer.
-
-    \return             Received character.
-    \return         -1  No character pending.
+/**
+  \brief   ITM Receive Character
+  \details Inputs a character via the external variable \ref ITM_RxBuffer.
+  \return             Received character.
+  \return         -1  No character pending.
  */
-__STATIC_INLINE int32_t ITM_ReceiveChar (void) {
+__STATIC_INLINE int32_t ITM_ReceiveChar (void)
+{
   int32_t ch = -1;                           /* no character available */
 
-  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY) {
+  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY)
+  {
     ch = ITM_RxBuffer;
     ITM_RxBuffer = ITM_RXBUFFER_EMPTY;       /* ready for next character */
   }
@@ -1663,19 +1908,22 @@ __STATIC_INLINE int32_t ITM_ReceiveChar (void) {
 }
 
 
-/** \brief  ITM Check Character
-
-    The function checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
-
-    \return          0  No character available.
-    \return          1  Character available.
+/**
+  \brief   ITM Check Character
+  \details Checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
+  \return          0  No character available.
+  \return          1  Character available.
  */
-__STATIC_INLINE int32_t ITM_CheckChar (void) {
+__STATIC_INLINE int32_t ITM_CheckChar (void)
+{
 
-  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY) {
-    return (0);                                 /* no character available */
-  } else {
-    return (1);                                 /*    character available */
+  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY)
+  {
+    return (0);                              /* no character available */
+  }
+  else
+  {
+    return (1);                              /*    character available */
   }
 }
 
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm4.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm4.h
index 9749c27d..7d568735 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm4.h
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm4.h
@@ -1,52 +1,44 @@
 /**************************************************************************//**
  * @file     core_cm4.h
  * @brief    CMSIS Cortex-M4 Core Peripheral Access Layer Header File
- * @version  V4.10
- * @date     18. March 2015
+ * @version  V5.0.8
+ * @date     04. June 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
  *
- * @note
+ * SPDX-License-Identifier: Apache-2.0
  *
- ******************************************************************************/
-/* Copyright (c) 2009 - 2015 ARM LIMITED
-
-   All rights reserved.
-   Redistribution and use in source and binary forms, with or without
-   modification, are permitted provided that the following conditions are met:
-   - Redistributions of source code must retain the above copyright
-     notice, this list of conditions and the following disclaimer.
-   - Redistributions in binary form must reproduce the above copyright
-     notice, this list of conditions and the following disclaimer in the
-     documentation and/or other materials provided with the distribution.
-   - Neither the name of ARM nor the names of its contributors may be used
-     to endorse or promote products derived from this software without
-     specific prior written permission.
-   *
-   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
-   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-   POSSIBILITY OF SUCH DAMAGE.
-   ---------------------------------------------------------------------------*/
-
-
-#if defined ( __ICCARM__ )
- #pragma system_include  /* treat file as system include file for MISRA check */
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if   defined ( __ICCARM__ )
+  #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined (__clang__)
+  #pragma clang system_header   /* treat file as system include file */
 #endif
 
 #ifndef __CORE_CM4_H_GENERIC
 #define __CORE_CM4_H_GENERIC
 
+#include 
+
 #ifdef __cplusplus
  extern "C" {
 #endif
 
-/** \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
   CMSIS violates the following MISRA-C:2004 rules:
 
    \li Required Rule 8.5, object/function definition in header file.

@@ -63,131 +55,112 @@
 /*******************************************************************************
  *                 CMSIS definitions
  ******************************************************************************/
-/** \ingroup Cortex_M4
+/**
+  \ingroup Cortex_M4
   @{
  */
 
-/*  CMSIS CM4 definitions */
-#define __CM4_CMSIS_VERSION_MAIN  (0x04)                                   /*!< [31:16] CMSIS HAL main version   */
-#define __CM4_CMSIS_VERSION_SUB   (0x00)                                   /*!< [15:0]  CMSIS HAL sub version    */
-#define __CM4_CMSIS_VERSION       ((__CM4_CMSIS_VERSION_MAIN << 16) | \
-                                    __CM4_CMSIS_VERSION_SUB          )     /*!< CMSIS HAL version number         */
-
-#define __CORTEX_M                (0x04)                                   /*!< Cortex-M Core                    */
-
-
-#if   defined ( __CC_ARM )
-  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler          */
-  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler       */
-  #define __STATIC_INLINE  static __inline
-
-#elif defined ( __GNUC__ )
-  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __ICCARM__ )
-  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TMS470__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TASKING__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler      */
-  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler   */
-  #define __STATIC_INLINE  static inline
+#include "cmsis_version.h"
 
-#elif defined ( __CSMC__ )
-  #define __packed
-  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler      */
-  #define __INLINE         inline                                    /*use -pc99 on compile line !< inline keyword for COSMIC Compiler   */
-  #define __STATIC_INLINE  static inline
+/* CMSIS CM4 definitions */
+#define __CM4_CMSIS_VERSION_MAIN  (__CM_CMSIS_VERSION_MAIN)              /*!< \deprecated [31:16] CMSIS HAL main version */
+#define __CM4_CMSIS_VERSION_SUB   (__CM_CMSIS_VERSION_SUB)               /*!< \deprecated [15:0]  CMSIS HAL sub version */
+#define __CM4_CMSIS_VERSION       ((__CM4_CMSIS_VERSION_MAIN << 16U) | \
+                                    __CM4_CMSIS_VERSION_SUB           )  /*!< \deprecated CMSIS HAL version number */
 
-#endif
+#define __CORTEX_M                (4U)                                   /*!< Cortex-M Core */
 
 /** __FPU_USED indicates whether an FPU is used or not.
     For this, __FPU_PRESENT has to be checked prior to making use of FPU specific registers and functions.
 */
 #if defined ( __CC_ARM )
   #if defined __TARGET_FPU_VFP
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
       #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
 
 #elif defined ( __GNUC__ )
   #if defined (__VFP_FP__) && !defined(__SOFTFP__)
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
-      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
 
 #elif defined ( __ICCARM__ )
   #if defined __ARMVFP__
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
-      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
 
-#elif defined ( __TMS470__ )
+#elif defined ( __TI_ARM__ )
   #if defined __TI_VFP_SUPPORT__
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
-      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
 
 #elif defined ( __TASKING__ )
   #if defined __FPU_VFP__
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
       #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
 
-#elif defined ( __CSMC__ )		/* Cosmic */
-  #if ( __CSMC__ & 0x400)		// FPU present for parser
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
       #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
+
 #endif
 
-#include                       /* standard types definitions                      */
-#include                 /* Core Instruction Access                         */
-#include                  /* Core Function Access                            */
-#include                  /* Compiler specific SIMD Intrinsics               */
+#include "cmsis_compiler.h"               /* CMSIS compiler specific defines */
+
 
 #ifdef __cplusplus
 }
@@ -207,27 +180,27 @@
 /* check device defines and use defaults */
 #if defined __CHECK_DEVICE_DEFINES
   #ifndef __CM4_REV
-    #define __CM4_REV               0x0000
+    #define __CM4_REV               0x0000U
     #warning "__CM4_REV not defined in device header file; using default!"
   #endif
 
   #ifndef __FPU_PRESENT
-    #define __FPU_PRESENT             0
+    #define __FPU_PRESENT             0U
     #warning "__FPU_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __MPU_PRESENT
-    #define __MPU_PRESENT             0
+    #define __MPU_PRESENT             0U
     #warning "__MPU_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __NVIC_PRIO_BITS
-    #define __NVIC_PRIO_BITS          4
+    #define __NVIC_PRIO_BITS          3U
     #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
   #endif
 
   #ifndef __Vendor_SysTickConfig
-    #define __Vendor_SysTickConfig    0
+    #define __Vendor_SysTickConfig    0U
     #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
   #endif
 #endif
@@ -241,12 +214,17 @@
     \li for automatic generation of peripheral register debug information.
 */
 #ifdef __cplusplus
-  #define   __I     volatile             /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
 #else
-  #define   __I     volatile const       /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
 #endif
-#define     __O     volatile             /*!< Defines 'write only' permissions                */
-#define     __IO    volatile             /*!< Defines 'read / write' permissions              */
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
 
 /*@} end of group Cortex_M4 */
 
@@ -263,1220 +241,1341 @@
   - Core MPU Register
   - Core FPU Register
  ******************************************************************************/
-/** \defgroup CMSIS_core_register Defines and Type Definitions
-    \brief Type definitions and defines for Cortex-M processor based devices.
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
 */
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_CORE  Status and Control Registers
-    \brief  Core Register type definitions.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
   @{
  */
 
-/** \brief  Union type to access the Application Program Status Register (APSR).
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t _reserved0:16;              /*!< bit:  0..15  Reserved                           */
-    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags        */
-    uint32_t _reserved1:7;               /*!< bit: 20..26  Reserved                           */
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t _reserved0:16;              /*!< bit:  0..15  Reserved */
+    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags */
+    uint32_t _reserved1:7;               /*!< bit: 20..26  Reserved */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } APSR_Type;
 
 /* APSR Register Definitions */
-#define APSR_N_Pos                         31                                             /*!< APSR: N Position */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
 #define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
 
-#define APSR_Z_Pos                         30                                             /*!< APSR: Z Position */
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
 #define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
 
-#define APSR_C_Pos                         29                                             /*!< APSR: C Position */
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
 #define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
 
-#define APSR_V_Pos                         28                                             /*!< APSR: V Position */
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
 #define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
 
-#define APSR_Q_Pos                         27                                             /*!< APSR: Q Position */
+#define APSR_Q_Pos                         27U                                            /*!< APSR: Q Position */
 #define APSR_Q_Msk                         (1UL << APSR_Q_Pos)                            /*!< APSR: Q Mask */
 
-#define APSR_GE_Pos                        16                                             /*!< APSR: GE Position */
+#define APSR_GE_Pos                        16U                                            /*!< APSR: GE Position */
 #define APSR_GE_Msk                        (0xFUL << APSR_GE_Pos)                         /*!< APSR: GE Mask */
 
 
-/** \brief  Union type to access the Interrupt Program Status Register (IPSR).
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } IPSR_Type;
 
 /* IPSR Register Definitions */
-#define IPSR_ISR_Pos                        0                                             /*!< IPSR: ISR Position */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
 #define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:7;               /*!< bit:  9..15  Reserved                           */
-    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags        */
-    uint32_t _reserved1:4;               /*!< bit: 20..23  Reserved                           */
-    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0)          */
-    uint32_t IT:2;                       /*!< bit: 25..26  saved IT state   (read 0)          */
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:1;               /*!< bit:      9  Reserved */
+    uint32_t ICI_IT_1:6;                 /*!< bit: 10..15  ICI/IT part 1 */
+    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags */
+    uint32_t _reserved1:4;               /*!< bit: 20..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit */
+    uint32_t ICI_IT_2:2;                 /*!< bit: 25..26  ICI/IT part 2 */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } xPSR_Type;
 
 /* xPSR Register Definitions */
-#define xPSR_N_Pos                         31                                             /*!< xPSR: N Position */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
 #define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
 
-#define xPSR_Z_Pos                         30                                             /*!< xPSR: Z Position */
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
 #define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
 
-#define xPSR_C_Pos                         29                                             /*!< xPSR: C Position */
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
 #define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
 
-#define xPSR_V_Pos                         28                                             /*!< xPSR: V Position */
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
 #define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
 
-#define xPSR_Q_Pos                         27                                             /*!< xPSR: Q Position */
+#define xPSR_Q_Pos                         27U                                            /*!< xPSR: Q Position */
 #define xPSR_Q_Msk                         (1UL << xPSR_Q_Pos)                            /*!< xPSR: Q Mask */
 
-#define xPSR_IT_Pos                        25                                             /*!< xPSR: IT Position */
-#define xPSR_IT_Msk                        (3UL << xPSR_IT_Pos)                           /*!< xPSR: IT Mask */
+#define xPSR_ICI_IT_2_Pos                  25U                                            /*!< xPSR: ICI/IT part 2 Position */
+#define xPSR_ICI_IT_2_Msk                  (3UL << xPSR_ICI_IT_2_Pos)                     /*!< xPSR: ICI/IT part 2 Mask */
 
-#define xPSR_T_Pos                         24                                             /*!< xPSR: T Position */
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
 #define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
 
-#define xPSR_GE_Pos                        16                                             /*!< xPSR: GE Position */
+#define xPSR_GE_Pos                        16U                                            /*!< xPSR: GE Position */
 #define xPSR_GE_Msk                        (0xFUL << xPSR_GE_Pos)                         /*!< xPSR: GE Mask */
 
-#define xPSR_ISR_Pos                        0                                             /*!< xPSR: ISR Position */
+#define xPSR_ICI_IT_1_Pos                  10U                                            /*!< xPSR: ICI/IT part 1 Position */
+#define xPSR_ICI_IT_1_Msk                  (0x3FUL << xPSR_ICI_IT_1_Pos)                  /*!< xPSR: ICI/IT part 1 Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
 #define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Control Registers (CONTROL).
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
  */
 typedef union
 {
   struct
   {
     uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
-    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used                   */
-    uint32_t FPCA:1;                     /*!< bit:      2  FP extension active flag           */
-    uint32_t _reserved0:29;              /*!< bit:  3..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t FPCA:1;                     /*!< bit:      2  FP extension active flag */
+    uint32_t _reserved0:29;              /*!< bit:  3..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } CONTROL_Type;
 
 /* CONTROL Register Definitions */
-#define CONTROL_FPCA_Pos                    2                                             /*!< CONTROL: FPCA Position */
+#define CONTROL_FPCA_Pos                    2U                                            /*!< CONTROL: FPCA Position */
 #define CONTROL_FPCA_Msk                   (1UL << CONTROL_FPCA_Pos)                      /*!< CONTROL: FPCA Mask */
 
-#define CONTROL_SPSEL_Pos                   1                                             /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
 #define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
 
-#define CONTROL_nPRIV_Pos                   0                                             /*!< CONTROL: nPRIV Position */
+#define CONTROL_nPRIV_Pos                   0U                                            /*!< CONTROL: nPRIV Position */
 #define CONTROL_nPRIV_Msk                  (1UL /*<< CONTROL_nPRIV_Pos*/)                 /*!< CONTROL: nPRIV Mask */
 
 /*@} end of group CMSIS_CORE */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
-    \brief      Type definitions for the NVIC Registers
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
   @{
  */
 
-/** \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
  */
 typedef struct
 {
-  __IO uint32_t ISER[8];                 /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register           */
-       uint32_t RESERVED0[24];
-  __IO uint32_t ICER[8];                 /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register         */
-       uint32_t RSERVED1[24];
-  __IO uint32_t ISPR[8];                 /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register          */
-       uint32_t RESERVED2[24];
-  __IO uint32_t ICPR[8];                 /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register        */
-       uint32_t RESERVED3[24];
-  __IO uint32_t IABR[8];                 /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register           */
-       uint32_t RESERVED4[56];
-  __IO uint8_t  IP[240];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
-       uint32_t RESERVED5[644];
-  __O  uint32_t STIR;                    /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register     */
+  __IOM uint32_t ISER[8U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[24U];
+  __IOM uint32_t ICER[8U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[24U];
+  __IOM uint32_t ISPR[8U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[24U];
+  __IOM uint32_t ICPR[8U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[24U];
+  __IOM uint32_t IABR[8U];               /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register */
+        uint32_t RESERVED4[56U];
+  __IOM uint8_t  IP[240U];               /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
+        uint32_t RESERVED5[644U];
+  __OM  uint32_t STIR;                   /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register */
 }  NVIC_Type;
 
 /* Software Triggered Interrupt Register Definitions */
-#define NVIC_STIR_INTID_Pos                 0                                          /*!< STIR: INTLINESNUM Position */
+#define NVIC_STIR_INTID_Pos                 0U                                         /*!< STIR: INTLINESNUM Position */
 #define NVIC_STIR_INTID_Msk                (0x1FFUL /*<< NVIC_STIR_INTID_Pos*/)        /*!< STIR: INTLINESNUM Mask */
 
 /*@} end of group CMSIS_NVIC */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCB     System Control Block (SCB)
-    \brief      Type definitions for the System Control Block Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
   @{
  */
 
-/** \brief  Structure type to access the System Control Block (SCB).
+/**
+  \brief  Structure type to access the System Control Block (SCB).
  */
 typedef struct
 {
-  __I  uint32_t CPUID;                   /*!< Offset: 0x000 (R/ )  CPUID Base Register                                   */
-  __IO uint32_t ICSR;                    /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register                  */
-  __IO uint32_t VTOR;                    /*!< Offset: 0x008 (R/W)  Vector Table Offset Register                          */
-  __IO uint32_t AIRCR;                   /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register      */
-  __IO uint32_t SCR;                     /*!< Offset: 0x010 (R/W)  System Control Register                               */
-  __IO uint32_t CCR;                     /*!< Offset: 0x014 (R/W)  Configuration Control Register                        */
-  __IO uint8_t  SHP[12];                 /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
-  __IO uint32_t SHCSR;                   /*!< Offset: 0x024 (R/W)  System Handler Control and State Register             */
-  __IO uint32_t CFSR;                    /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register                    */
-  __IO uint32_t HFSR;                    /*!< Offset: 0x02C (R/W)  HardFault Status Register                             */
-  __IO uint32_t DFSR;                    /*!< Offset: 0x030 (R/W)  Debug Fault Status Register                           */
-  __IO uint32_t MMFAR;                   /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register                      */
-  __IO uint32_t BFAR;                    /*!< Offset: 0x038 (R/W)  BusFault Address Register                             */
-  __IO uint32_t AFSR;                    /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register                       */
-  __I  uint32_t PFR[2];                  /*!< Offset: 0x040 (R/ )  Processor Feature Register                            */
-  __I  uint32_t DFR;                     /*!< Offset: 0x048 (R/ )  Debug Feature Register                                */
-  __I  uint32_t ADR;                     /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register                            */
-  __I  uint32_t MMFR[4];                 /*!< Offset: 0x050 (R/ )  Memory Model Feature Register                         */
-  __I  uint32_t ISAR[5];                 /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register                   */
-       uint32_t RESERVED0[5];
-  __IO uint32_t CPACR;                   /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register                   */
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+  __IOM uint8_t  SHP[12U];               /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+  __IOM uint32_t CFSR;                   /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register */
+  __IOM uint32_t HFSR;                   /*!< Offset: 0x02C (R/W)  HardFault Status Register */
+  __IOM uint32_t DFSR;                   /*!< Offset: 0x030 (R/W)  Debug Fault Status Register */
+  __IOM uint32_t MMFAR;                  /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register */
+  __IOM uint32_t BFAR;                   /*!< Offset: 0x038 (R/W)  BusFault Address Register */
+  __IOM uint32_t AFSR;                   /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register */
+  __IM  uint32_t PFR[2U];                /*!< Offset: 0x040 (R/ )  Processor Feature Register */
+  __IM  uint32_t DFR;                    /*!< Offset: 0x048 (R/ )  Debug Feature Register */
+  __IM  uint32_t ADR;                    /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register */
+  __IM  uint32_t MMFR[4U];               /*!< Offset: 0x050 (R/ )  Memory Model Feature Register */
+  __IM  uint32_t ISAR[5U];               /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register */
+        uint32_t RESERVED0[5U];
+  __IOM uint32_t CPACR;                  /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register */
 } SCB_Type;
 
 /* SCB CPUID Register Definitions */
-#define SCB_CPUID_IMPLEMENTER_Pos          24                                             /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
 #define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
 
-#define SCB_CPUID_VARIANT_Pos              20                                             /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
 #define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
 
-#define SCB_CPUID_ARCHITECTURE_Pos         16                                             /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
 #define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
 
-#define SCB_CPUID_PARTNO_Pos                4                                             /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
 #define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
 
-#define SCB_CPUID_REVISION_Pos              0                                             /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
 #define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
 
 /* SCB Interrupt Control State Register Definitions */
-#define SCB_ICSR_NMIPENDSET_Pos            31                                             /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
 #define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
 
-#define SCB_ICSR_PENDSVSET_Pos             28                                             /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
 #define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
 
-#define SCB_ICSR_PENDSVCLR_Pos             27                                             /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
 #define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
 
-#define SCB_ICSR_PENDSTSET_Pos             26                                             /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
 #define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
 
-#define SCB_ICSR_PENDSTCLR_Pos             25                                             /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
 #define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
 
-#define SCB_ICSR_ISRPREEMPT_Pos            23                                             /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
 #define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
 
-#define SCB_ICSR_ISRPENDING_Pos            22                                             /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
 #define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
 
-#define SCB_ICSR_VECTPENDING_Pos           12                                             /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
 #define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
 
-#define SCB_ICSR_RETTOBASE_Pos             11                                             /*!< SCB ICSR: RETTOBASE Position */
+#define SCB_ICSR_RETTOBASE_Pos             11U                                            /*!< SCB ICSR: RETTOBASE Position */
 #define SCB_ICSR_RETTOBASE_Msk             (1UL << SCB_ICSR_RETTOBASE_Pos)                /*!< SCB ICSR: RETTOBASE Mask */
 
-#define SCB_ICSR_VECTACTIVE_Pos             0                                             /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
 #define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
 
 /* SCB Vector Table Offset Register Definitions */
-#define SCB_VTOR_TBLOFF_Pos                 7                                             /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
 #define SCB_VTOR_TBLOFF_Msk                (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos)           /*!< SCB VTOR: TBLOFF Mask */
 
 /* SCB Application Interrupt and Reset Control Register Definitions */
-#define SCB_AIRCR_VECTKEY_Pos              16                                             /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
 #define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
 
-#define SCB_AIRCR_VECTKEYSTAT_Pos          16                                             /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
 #define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
 
-#define SCB_AIRCR_ENDIANESS_Pos            15                                             /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
 #define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
 
-#define SCB_AIRCR_PRIGROUP_Pos              8                                             /*!< SCB AIRCR: PRIGROUP Position */
+#define SCB_AIRCR_PRIGROUP_Pos              8U                                            /*!< SCB AIRCR: PRIGROUP Position */
 #define SCB_AIRCR_PRIGROUP_Msk             (7UL << SCB_AIRCR_PRIGROUP_Pos)                /*!< SCB AIRCR: PRIGROUP Mask */
 
-#define SCB_AIRCR_SYSRESETREQ_Pos           2                                             /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
 #define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
 
-#define SCB_AIRCR_VECTCLRACTIVE_Pos         1                                             /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
 #define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
 
-#define SCB_AIRCR_VECTRESET_Pos             0                                             /*!< SCB AIRCR: VECTRESET Position */
+#define SCB_AIRCR_VECTRESET_Pos             0U                                            /*!< SCB AIRCR: VECTRESET Position */
 #define SCB_AIRCR_VECTRESET_Msk            (1UL /*<< SCB_AIRCR_VECTRESET_Pos*/)           /*!< SCB AIRCR: VECTRESET Mask */
 
 /* SCB System Control Register Definitions */
-#define SCB_SCR_SEVONPEND_Pos               4                                             /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
 #define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
 
-#define SCB_SCR_SLEEPDEEP_Pos               2                                             /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
 #define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
 
-#define SCB_SCR_SLEEPONEXIT_Pos             1                                             /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
 #define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
 
 /* SCB Configuration Control Register Definitions */
-#define SCB_CCR_STKALIGN_Pos                9                                             /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
 #define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
 
-#define SCB_CCR_BFHFNMIGN_Pos               8                                             /*!< SCB CCR: BFHFNMIGN Position */
+#define SCB_CCR_BFHFNMIGN_Pos               8U                                            /*!< SCB CCR: BFHFNMIGN Position */
 #define SCB_CCR_BFHFNMIGN_Msk              (1UL << SCB_CCR_BFHFNMIGN_Pos)                 /*!< SCB CCR: BFHFNMIGN Mask */
 
-#define SCB_CCR_DIV_0_TRP_Pos               4                                             /*!< SCB CCR: DIV_0_TRP Position */
+#define SCB_CCR_DIV_0_TRP_Pos               4U                                            /*!< SCB CCR: DIV_0_TRP Position */
 #define SCB_CCR_DIV_0_TRP_Msk              (1UL << SCB_CCR_DIV_0_TRP_Pos)                 /*!< SCB CCR: DIV_0_TRP Mask */
 
-#define SCB_CCR_UNALIGN_TRP_Pos             3                                             /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
 #define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
 
-#define SCB_CCR_USERSETMPEND_Pos            1                                             /*!< SCB CCR: USERSETMPEND Position */
+#define SCB_CCR_USERSETMPEND_Pos            1U                                            /*!< SCB CCR: USERSETMPEND Position */
 #define SCB_CCR_USERSETMPEND_Msk           (1UL << SCB_CCR_USERSETMPEND_Pos)              /*!< SCB CCR: USERSETMPEND Mask */
 
-#define SCB_CCR_NONBASETHRDENA_Pos          0                                             /*!< SCB CCR: NONBASETHRDENA Position */
+#define SCB_CCR_NONBASETHRDENA_Pos          0U                                            /*!< SCB CCR: NONBASETHRDENA Position */
 #define SCB_CCR_NONBASETHRDENA_Msk         (1UL /*<< SCB_CCR_NONBASETHRDENA_Pos*/)        /*!< SCB CCR: NONBASETHRDENA Mask */
 
 /* SCB System Handler Control and State Register Definitions */
-#define SCB_SHCSR_USGFAULTENA_Pos          18                                             /*!< SCB SHCSR: USGFAULTENA Position */
+#define SCB_SHCSR_USGFAULTENA_Pos          18U                                            /*!< SCB SHCSR: USGFAULTENA Position */
 #define SCB_SHCSR_USGFAULTENA_Msk          (1UL << SCB_SHCSR_USGFAULTENA_Pos)             /*!< SCB SHCSR: USGFAULTENA Mask */
 
-#define SCB_SHCSR_BUSFAULTENA_Pos          17                                             /*!< SCB SHCSR: BUSFAULTENA Position */
+#define SCB_SHCSR_BUSFAULTENA_Pos          17U                                            /*!< SCB SHCSR: BUSFAULTENA Position */
 #define SCB_SHCSR_BUSFAULTENA_Msk          (1UL << SCB_SHCSR_BUSFAULTENA_Pos)             /*!< SCB SHCSR: BUSFAULTENA Mask */
 
-#define SCB_SHCSR_MEMFAULTENA_Pos          16                                             /*!< SCB SHCSR: MEMFAULTENA Position */
+#define SCB_SHCSR_MEMFAULTENA_Pos          16U                                            /*!< SCB SHCSR: MEMFAULTENA Position */
 #define SCB_SHCSR_MEMFAULTENA_Msk          (1UL << SCB_SHCSR_MEMFAULTENA_Pos)             /*!< SCB SHCSR: MEMFAULTENA Mask */
 
-#define SCB_SHCSR_SVCALLPENDED_Pos         15                                             /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
 #define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
 
-#define SCB_SHCSR_BUSFAULTPENDED_Pos       14                                             /*!< SCB SHCSR: BUSFAULTPENDED Position */
+#define SCB_SHCSR_BUSFAULTPENDED_Pos       14U                                            /*!< SCB SHCSR: BUSFAULTPENDED Position */
 #define SCB_SHCSR_BUSFAULTPENDED_Msk       (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos)          /*!< SCB SHCSR: BUSFAULTPENDED Mask */
 
-#define SCB_SHCSR_MEMFAULTPENDED_Pos       13                                             /*!< SCB SHCSR: MEMFAULTPENDED Position */
+#define SCB_SHCSR_MEMFAULTPENDED_Pos       13U                                            /*!< SCB SHCSR: MEMFAULTPENDED Position */
 #define SCB_SHCSR_MEMFAULTPENDED_Msk       (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos)          /*!< SCB SHCSR: MEMFAULTPENDED Mask */
 
-#define SCB_SHCSR_USGFAULTPENDED_Pos       12                                             /*!< SCB SHCSR: USGFAULTPENDED Position */
+#define SCB_SHCSR_USGFAULTPENDED_Pos       12U                                            /*!< SCB SHCSR: USGFAULTPENDED Position */
 #define SCB_SHCSR_USGFAULTPENDED_Msk       (1UL << SCB_SHCSR_USGFAULTPENDED_Pos)          /*!< SCB SHCSR: USGFAULTPENDED Mask */
 
-#define SCB_SHCSR_SYSTICKACT_Pos           11                                             /*!< SCB SHCSR: SYSTICKACT Position */
+#define SCB_SHCSR_SYSTICKACT_Pos           11U                                            /*!< SCB SHCSR: SYSTICKACT Position */
 #define SCB_SHCSR_SYSTICKACT_Msk           (1UL << SCB_SHCSR_SYSTICKACT_Pos)              /*!< SCB SHCSR: SYSTICKACT Mask */
 
-#define SCB_SHCSR_PENDSVACT_Pos            10                                             /*!< SCB SHCSR: PENDSVACT Position */
+#define SCB_SHCSR_PENDSVACT_Pos            10U                                            /*!< SCB SHCSR: PENDSVACT Position */
 #define SCB_SHCSR_PENDSVACT_Msk            (1UL << SCB_SHCSR_PENDSVACT_Pos)               /*!< SCB SHCSR: PENDSVACT Mask */
 
-#define SCB_SHCSR_MONITORACT_Pos            8                                             /*!< SCB SHCSR: MONITORACT Position */
+#define SCB_SHCSR_MONITORACT_Pos            8U                                            /*!< SCB SHCSR: MONITORACT Position */
 #define SCB_SHCSR_MONITORACT_Msk           (1UL << SCB_SHCSR_MONITORACT_Pos)              /*!< SCB SHCSR: MONITORACT Mask */
 
-#define SCB_SHCSR_SVCALLACT_Pos             7                                             /*!< SCB SHCSR: SVCALLACT Position */
+#define SCB_SHCSR_SVCALLACT_Pos             7U                                            /*!< SCB SHCSR: SVCALLACT Position */
 #define SCB_SHCSR_SVCALLACT_Msk            (1UL << SCB_SHCSR_SVCALLACT_Pos)               /*!< SCB SHCSR: SVCALLACT Mask */
 
-#define SCB_SHCSR_USGFAULTACT_Pos           3                                             /*!< SCB SHCSR: USGFAULTACT Position */
+#define SCB_SHCSR_USGFAULTACT_Pos           3U                                            /*!< SCB SHCSR: USGFAULTACT Position */
 #define SCB_SHCSR_USGFAULTACT_Msk          (1UL << SCB_SHCSR_USGFAULTACT_Pos)             /*!< SCB SHCSR: USGFAULTACT Mask */
 
-#define SCB_SHCSR_BUSFAULTACT_Pos           1                                             /*!< SCB SHCSR: BUSFAULTACT Position */
+#define SCB_SHCSR_BUSFAULTACT_Pos           1U                                            /*!< SCB SHCSR: BUSFAULTACT Position */
 #define SCB_SHCSR_BUSFAULTACT_Msk          (1UL << SCB_SHCSR_BUSFAULTACT_Pos)             /*!< SCB SHCSR: BUSFAULTACT Mask */
 
-#define SCB_SHCSR_MEMFAULTACT_Pos           0                                             /*!< SCB SHCSR: MEMFAULTACT Position */
+#define SCB_SHCSR_MEMFAULTACT_Pos           0U                                            /*!< SCB SHCSR: MEMFAULTACT Position */
 #define SCB_SHCSR_MEMFAULTACT_Msk          (1UL /*<< SCB_SHCSR_MEMFAULTACT_Pos*/)         /*!< SCB SHCSR: MEMFAULTACT Mask */
 
-/* SCB Configurable Fault Status Registers Definitions */
-#define SCB_CFSR_USGFAULTSR_Pos            16                                             /*!< SCB CFSR: Usage Fault Status Register Position */
+/* SCB Configurable Fault Status Register Definitions */
+#define SCB_CFSR_USGFAULTSR_Pos            16U                                            /*!< SCB CFSR: Usage Fault Status Register Position */
 #define SCB_CFSR_USGFAULTSR_Msk            (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos)          /*!< SCB CFSR: Usage Fault Status Register Mask */
 
-#define SCB_CFSR_BUSFAULTSR_Pos             8                                             /*!< SCB CFSR: Bus Fault Status Register Position */
+#define SCB_CFSR_BUSFAULTSR_Pos             8U                                            /*!< SCB CFSR: Bus Fault Status Register Position */
 #define SCB_CFSR_BUSFAULTSR_Msk            (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos)            /*!< SCB CFSR: Bus Fault Status Register Mask */
 
-#define SCB_CFSR_MEMFAULTSR_Pos             0                                             /*!< SCB CFSR: Memory Manage Fault Status Register Position */
+#define SCB_CFSR_MEMFAULTSR_Pos             0U                                            /*!< SCB CFSR: Memory Manage Fault Status Register Position */
 #define SCB_CFSR_MEMFAULTSR_Msk            (0xFFUL /*<< SCB_CFSR_MEMFAULTSR_Pos*/)        /*!< SCB CFSR: Memory Manage Fault Status Register Mask */
 
-/* SCB Hard Fault Status Registers Definitions */
-#define SCB_HFSR_DEBUGEVT_Pos              31                                             /*!< SCB HFSR: DEBUGEVT Position */
+/* MemManage Fault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_MMARVALID_Pos             (SCB_SHCSR_MEMFAULTACT_Pos + 7U)               /*!< SCB CFSR (MMFSR): MMARVALID Position */
+#define SCB_CFSR_MMARVALID_Msk             (1UL << SCB_CFSR_MMARVALID_Pos)                /*!< SCB CFSR (MMFSR): MMARVALID Mask */
+
+#define SCB_CFSR_MLSPERR_Pos               (SCB_SHCSR_MEMFAULTACT_Pos + 5U)               /*!< SCB CFSR (MMFSR): MLSPERR Position */
+#define SCB_CFSR_MLSPERR_Msk               (1UL << SCB_CFSR_MLSPERR_Pos)                  /*!< SCB CFSR (MMFSR): MLSPERR Mask */
+
+#define SCB_CFSR_MSTKERR_Pos               (SCB_SHCSR_MEMFAULTACT_Pos + 4U)               /*!< SCB CFSR (MMFSR): MSTKERR Position */
+#define SCB_CFSR_MSTKERR_Msk               (1UL << SCB_CFSR_MSTKERR_Pos)                  /*!< SCB CFSR (MMFSR): MSTKERR Mask */
+
+#define SCB_CFSR_MUNSTKERR_Pos             (SCB_SHCSR_MEMFAULTACT_Pos + 3U)               /*!< SCB CFSR (MMFSR): MUNSTKERR Position */
+#define SCB_CFSR_MUNSTKERR_Msk             (1UL << SCB_CFSR_MUNSTKERR_Pos)                /*!< SCB CFSR (MMFSR): MUNSTKERR Mask */
+
+#define SCB_CFSR_DACCVIOL_Pos              (SCB_SHCSR_MEMFAULTACT_Pos + 1U)               /*!< SCB CFSR (MMFSR): DACCVIOL Position */
+#define SCB_CFSR_DACCVIOL_Msk              (1UL << SCB_CFSR_DACCVIOL_Pos)                 /*!< SCB CFSR (MMFSR): DACCVIOL Mask */
+
+#define SCB_CFSR_IACCVIOL_Pos              (SCB_SHCSR_MEMFAULTACT_Pos + 0U)               /*!< SCB CFSR (MMFSR): IACCVIOL Position */
+#define SCB_CFSR_IACCVIOL_Msk              (1UL /*<< SCB_CFSR_IACCVIOL_Pos*/)             /*!< SCB CFSR (MMFSR): IACCVIOL Mask */
+
+/* BusFault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_BFARVALID_Pos            (SCB_CFSR_BUSFAULTSR_Pos + 7U)                  /*!< SCB CFSR (BFSR): BFARVALID Position */
+#define SCB_CFSR_BFARVALID_Msk            (1UL << SCB_CFSR_BFARVALID_Pos)                 /*!< SCB CFSR (BFSR): BFARVALID Mask */
+
+#define SCB_CFSR_LSPERR_Pos               (SCB_CFSR_BUSFAULTSR_Pos + 5U)                  /*!< SCB CFSR (BFSR): LSPERR Position */
+#define SCB_CFSR_LSPERR_Msk               (1UL << SCB_CFSR_LSPERR_Pos)                    /*!< SCB CFSR (BFSR): LSPERR Mask */
+
+#define SCB_CFSR_STKERR_Pos               (SCB_CFSR_BUSFAULTSR_Pos + 4U)                  /*!< SCB CFSR (BFSR): STKERR Position */
+#define SCB_CFSR_STKERR_Msk               (1UL << SCB_CFSR_STKERR_Pos)                    /*!< SCB CFSR (BFSR): STKERR Mask */
+
+#define SCB_CFSR_UNSTKERR_Pos             (SCB_CFSR_BUSFAULTSR_Pos + 3U)                  /*!< SCB CFSR (BFSR): UNSTKERR Position */
+#define SCB_CFSR_UNSTKERR_Msk             (1UL << SCB_CFSR_UNSTKERR_Pos)                  /*!< SCB CFSR (BFSR): UNSTKERR Mask */
+
+#define SCB_CFSR_IMPRECISERR_Pos          (SCB_CFSR_BUSFAULTSR_Pos + 2U)                  /*!< SCB CFSR (BFSR): IMPRECISERR Position */
+#define SCB_CFSR_IMPRECISERR_Msk          (1UL << SCB_CFSR_IMPRECISERR_Pos)               /*!< SCB CFSR (BFSR): IMPRECISERR Mask */
+
+#define SCB_CFSR_PRECISERR_Pos            (SCB_CFSR_BUSFAULTSR_Pos + 1U)                  /*!< SCB CFSR (BFSR): PRECISERR Position */
+#define SCB_CFSR_PRECISERR_Msk            (1UL << SCB_CFSR_PRECISERR_Pos)                 /*!< SCB CFSR (BFSR): PRECISERR Mask */
+
+#define SCB_CFSR_IBUSERR_Pos              (SCB_CFSR_BUSFAULTSR_Pos + 0U)                  /*!< SCB CFSR (BFSR): IBUSERR Position */
+#define SCB_CFSR_IBUSERR_Msk              (1UL << SCB_CFSR_IBUSERR_Pos)                   /*!< SCB CFSR (BFSR): IBUSERR Mask */
+
+/* UsageFault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_DIVBYZERO_Pos            (SCB_CFSR_USGFAULTSR_Pos + 9U)                  /*!< SCB CFSR (UFSR): DIVBYZERO Position */
+#define SCB_CFSR_DIVBYZERO_Msk            (1UL << SCB_CFSR_DIVBYZERO_Pos)                 /*!< SCB CFSR (UFSR): DIVBYZERO Mask */
+
+#define SCB_CFSR_UNALIGNED_Pos            (SCB_CFSR_USGFAULTSR_Pos + 8U)                  /*!< SCB CFSR (UFSR): UNALIGNED Position */
+#define SCB_CFSR_UNALIGNED_Msk            (1UL << SCB_CFSR_UNALIGNED_Pos)                 /*!< SCB CFSR (UFSR): UNALIGNED Mask */
+
+#define SCB_CFSR_NOCP_Pos                 (SCB_CFSR_USGFAULTSR_Pos + 3U)                  /*!< SCB CFSR (UFSR): NOCP Position */
+#define SCB_CFSR_NOCP_Msk                 (1UL << SCB_CFSR_NOCP_Pos)                      /*!< SCB CFSR (UFSR): NOCP Mask */
+
+#define SCB_CFSR_INVPC_Pos                (SCB_CFSR_USGFAULTSR_Pos + 2U)                  /*!< SCB CFSR (UFSR): INVPC Position */
+#define SCB_CFSR_INVPC_Msk                (1UL << SCB_CFSR_INVPC_Pos)                     /*!< SCB CFSR (UFSR): INVPC Mask */
+
+#define SCB_CFSR_INVSTATE_Pos             (SCB_CFSR_USGFAULTSR_Pos + 1U)                  /*!< SCB CFSR (UFSR): INVSTATE Position */
+#define SCB_CFSR_INVSTATE_Msk             (1UL << SCB_CFSR_INVSTATE_Pos)                  /*!< SCB CFSR (UFSR): INVSTATE Mask */
+
+#define SCB_CFSR_UNDEFINSTR_Pos           (SCB_CFSR_USGFAULTSR_Pos + 0U)                  /*!< SCB CFSR (UFSR): UNDEFINSTR Position */
+#define SCB_CFSR_UNDEFINSTR_Msk           (1UL << SCB_CFSR_UNDEFINSTR_Pos)                /*!< SCB CFSR (UFSR): UNDEFINSTR Mask */
+
+/* SCB Hard Fault Status Register Definitions */
+#define SCB_HFSR_DEBUGEVT_Pos              31U                                            /*!< SCB HFSR: DEBUGEVT Position */
 #define SCB_HFSR_DEBUGEVT_Msk              (1UL << SCB_HFSR_DEBUGEVT_Pos)                 /*!< SCB HFSR: DEBUGEVT Mask */
 
-#define SCB_HFSR_FORCED_Pos                30                                             /*!< SCB HFSR: FORCED Position */
+#define SCB_HFSR_FORCED_Pos                30U                                            /*!< SCB HFSR: FORCED Position */
 #define SCB_HFSR_FORCED_Msk                (1UL << SCB_HFSR_FORCED_Pos)                   /*!< SCB HFSR: FORCED Mask */
 
-#define SCB_HFSR_VECTTBL_Pos                1                                             /*!< SCB HFSR: VECTTBL Position */
+#define SCB_HFSR_VECTTBL_Pos                1U                                            /*!< SCB HFSR: VECTTBL Position */
 #define SCB_HFSR_VECTTBL_Msk               (1UL << SCB_HFSR_VECTTBL_Pos)                  /*!< SCB HFSR: VECTTBL Mask */
 
 /* SCB Debug Fault Status Register Definitions */
-#define SCB_DFSR_EXTERNAL_Pos               4                                             /*!< SCB DFSR: EXTERNAL Position */
+#define SCB_DFSR_EXTERNAL_Pos               4U                                            /*!< SCB DFSR: EXTERNAL Position */
 #define SCB_DFSR_EXTERNAL_Msk              (1UL << SCB_DFSR_EXTERNAL_Pos)                 /*!< SCB DFSR: EXTERNAL Mask */
 
-#define SCB_DFSR_VCATCH_Pos                 3                                             /*!< SCB DFSR: VCATCH Position */
+#define SCB_DFSR_VCATCH_Pos                 3U                                            /*!< SCB DFSR: VCATCH Position */
 #define SCB_DFSR_VCATCH_Msk                (1UL << SCB_DFSR_VCATCH_Pos)                   /*!< SCB DFSR: VCATCH Mask */
 
-#define SCB_DFSR_DWTTRAP_Pos                2                                             /*!< SCB DFSR: DWTTRAP Position */
+#define SCB_DFSR_DWTTRAP_Pos                2U                                            /*!< SCB DFSR: DWTTRAP Position */
 #define SCB_DFSR_DWTTRAP_Msk               (1UL << SCB_DFSR_DWTTRAP_Pos)                  /*!< SCB DFSR: DWTTRAP Mask */
 
-#define SCB_DFSR_BKPT_Pos                   1                                             /*!< SCB DFSR: BKPT Position */
+#define SCB_DFSR_BKPT_Pos                   1U                                            /*!< SCB DFSR: BKPT Position */
 #define SCB_DFSR_BKPT_Msk                  (1UL << SCB_DFSR_BKPT_Pos)                     /*!< SCB DFSR: BKPT Mask */
 
-#define SCB_DFSR_HALTED_Pos                 0                                             /*!< SCB DFSR: HALTED Position */
+#define SCB_DFSR_HALTED_Pos                 0U                                            /*!< SCB DFSR: HALTED Position */
 #define SCB_DFSR_HALTED_Msk                (1UL /*<< SCB_DFSR_HALTED_Pos*/)               /*!< SCB DFSR: HALTED Mask */
 
 /*@} end of group CMSIS_SCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
-    \brief      Type definitions for the System Control and ID Register not in the SCB
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
+  \brief    Type definitions for the System Control and ID Register not in the SCB
   @{
  */
 
-/** \brief  Structure type to access the System Control and ID Register not in the SCB.
+/**
+  \brief  Structure type to access the System Control and ID Register not in the SCB.
  */
 typedef struct
 {
-       uint32_t RESERVED0[1];
-  __I  uint32_t ICTR;                    /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register      */
-  __IO uint32_t ACTLR;                   /*!< Offset: 0x008 (R/W)  Auxiliary Control Register              */
+        uint32_t RESERVED0[1U];
+  __IM  uint32_t ICTR;                   /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register */
+  __IOM uint32_t ACTLR;                  /*!< Offset: 0x008 (R/W)  Auxiliary Control Register */
 } SCnSCB_Type;
 
 /* Interrupt Controller Type Register Definitions */
-#define SCnSCB_ICTR_INTLINESNUM_Pos         0                                          /*!< ICTR: INTLINESNUM Position */
+#define SCnSCB_ICTR_INTLINESNUM_Pos         0U                                         /*!< ICTR: INTLINESNUM Position */
 #define SCnSCB_ICTR_INTLINESNUM_Msk        (0xFUL /*<< SCnSCB_ICTR_INTLINESNUM_Pos*/)  /*!< ICTR: INTLINESNUM Mask */
 
 /* Auxiliary Control Register Definitions */
-#define SCnSCB_ACTLR_DISOOFP_Pos            9                                          /*!< ACTLR: DISOOFP Position */
+#define SCnSCB_ACTLR_DISOOFP_Pos            9U                                         /*!< ACTLR: DISOOFP Position */
 #define SCnSCB_ACTLR_DISOOFP_Msk           (1UL << SCnSCB_ACTLR_DISOOFP_Pos)           /*!< ACTLR: DISOOFP Mask */
 
-#define SCnSCB_ACTLR_DISFPCA_Pos            8                                          /*!< ACTLR: DISFPCA Position */
+#define SCnSCB_ACTLR_DISFPCA_Pos            8U                                         /*!< ACTLR: DISFPCA Position */
 #define SCnSCB_ACTLR_DISFPCA_Msk           (1UL << SCnSCB_ACTLR_DISFPCA_Pos)           /*!< ACTLR: DISFPCA Mask */
 
-#define SCnSCB_ACTLR_DISFOLD_Pos            2                                          /*!< ACTLR: DISFOLD Position */
+#define SCnSCB_ACTLR_DISFOLD_Pos            2U                                         /*!< ACTLR: DISFOLD Position */
 #define SCnSCB_ACTLR_DISFOLD_Msk           (1UL << SCnSCB_ACTLR_DISFOLD_Pos)           /*!< ACTLR: DISFOLD Mask */
 
-#define SCnSCB_ACTLR_DISDEFWBUF_Pos         1                                          /*!< ACTLR: DISDEFWBUF Position */
+#define SCnSCB_ACTLR_DISDEFWBUF_Pos         1U                                         /*!< ACTLR: DISDEFWBUF Position */
 #define SCnSCB_ACTLR_DISDEFWBUF_Msk        (1UL << SCnSCB_ACTLR_DISDEFWBUF_Pos)        /*!< ACTLR: DISDEFWBUF Mask */
 
-#define SCnSCB_ACTLR_DISMCYCINT_Pos         0                                          /*!< ACTLR: DISMCYCINT Position */
+#define SCnSCB_ACTLR_DISMCYCINT_Pos         0U                                         /*!< ACTLR: DISMCYCINT Position */
 #define SCnSCB_ACTLR_DISMCYCINT_Msk        (1UL /*<< SCnSCB_ACTLR_DISMCYCINT_Pos*/)    /*!< ACTLR: DISMCYCINT Mask */
 
 /*@} end of group CMSIS_SCnotSCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
-    \brief      Type definitions for the System Timer Registers.
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
   @{
  */
 
-/** \brief  Structure type to access the System Timer (SysTick).
+/**
+  \brief  Structure type to access the System Timer (SysTick).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
-  __IO uint32_t LOAD;                    /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register       */
-  __IO uint32_t VAL;                     /*!< Offset: 0x008 (R/W)  SysTick Current Value Register      */
-  __I  uint32_t CALIB;                   /*!< Offset: 0x00C (R/ )  SysTick Calibration Register        */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
 } SysTick_Type;
 
 /* SysTick Control / Status Register Definitions */
-#define SysTick_CTRL_COUNTFLAG_Pos         16                                             /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
 #define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
 
-#define SysTick_CTRL_CLKSOURCE_Pos          2                                             /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
 #define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
 
-#define SysTick_CTRL_TICKINT_Pos            1                                             /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
 #define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
 
-#define SysTick_CTRL_ENABLE_Pos             0                                             /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
 #define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
 
 /* SysTick Reload Register Definitions */
-#define SysTick_LOAD_RELOAD_Pos             0                                             /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
 #define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
 
 /* SysTick Current Register Definitions */
-#define SysTick_VAL_CURRENT_Pos             0                                             /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
 #define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
 
 /* SysTick Calibration Register Definitions */
-#define SysTick_CALIB_NOREF_Pos            31                                             /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
 #define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
 
-#define SysTick_CALIB_SKEW_Pos             30                                             /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
 #define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
 
-#define SysTick_CALIB_TENMS_Pos             0                                             /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
 #define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
 
 /*@} end of group CMSIS_SysTick */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
-    \brief      Type definitions for the Instrumentation Trace Macrocell (ITM)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
+  \brief    Type definitions for the Instrumentation Trace Macrocell (ITM)
   @{
  */
 
-/** \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
+/**
+  \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
  */
 typedef struct
 {
-  __O  union
+  __OM  union
   {
-    __O  uint8_t    u8;                  /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit                   */
-    __O  uint16_t   u16;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit                  */
-    __O  uint32_t   u32;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit                  */
-  }  PORT [32];                          /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers               */
-       uint32_t RESERVED0[864];
-  __IO uint32_t TER;                     /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register                 */
-       uint32_t RESERVED1[15];
-  __IO uint32_t TPR;                     /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register              */
-       uint32_t RESERVED2[15];
-  __IO uint32_t TCR;                     /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register                */
-       uint32_t RESERVED3[29];
-  __O  uint32_t IWR;                     /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register            */
-  __I  uint32_t IRR;                     /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register             */
-  __IO uint32_t IMCR;                    /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register     */
-       uint32_t RESERVED4[43];
-  __O  uint32_t LAR;                     /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register                  */
-  __I  uint32_t LSR;                     /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register                  */
-       uint32_t RESERVED5[6];
-  __I  uint32_t PID4;                    /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
-  __I  uint32_t PID5;                    /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
-  __I  uint32_t PID6;                    /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
-  __I  uint32_t PID7;                    /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
-  __I  uint32_t PID0;                    /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
-  __I  uint32_t PID1;                    /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
-  __I  uint32_t PID2;                    /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
-  __I  uint32_t PID3;                    /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
-  __I  uint32_t CID0;                    /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
-  __I  uint32_t CID1;                    /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
-  __I  uint32_t CID2;                    /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
-  __I  uint32_t CID3;                    /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
+    __OM  uint8_t    u8;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit */
+    __OM  uint16_t   u16;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit */
+    __OM  uint32_t   u32;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit */
+  }  PORT [32U];                         /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers */
+        uint32_t RESERVED0[864U];
+  __IOM uint32_t TER;                    /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register */
+        uint32_t RESERVED1[15U];
+  __IOM uint32_t TPR;                    /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register */
+        uint32_t RESERVED2[15U];
+  __IOM uint32_t TCR;                    /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register */
+        uint32_t RESERVED3[29U];
+  __OM  uint32_t IWR;                    /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register */
+  __IM  uint32_t IRR;                    /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register */
+  __IOM uint32_t IMCR;                   /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register */
+        uint32_t RESERVED4[43U];
+  __OM  uint32_t LAR;                    /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register */
+  __IM  uint32_t LSR;                    /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register */
+        uint32_t RESERVED5[6U];
+  __IM  uint32_t PID4;                   /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
+  __IM  uint32_t PID5;                   /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
+  __IM  uint32_t PID6;                   /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
+  __IM  uint32_t PID7;                   /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
+  __IM  uint32_t PID0;                   /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
+  __IM  uint32_t PID1;                   /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
+  __IM  uint32_t PID2;                   /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
+  __IM  uint32_t PID3;                   /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
+  __IM  uint32_t CID0;                   /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
+  __IM  uint32_t CID1;                   /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
+  __IM  uint32_t CID2;                   /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
+  __IM  uint32_t CID3;                   /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
 } ITM_Type;
 
 /* ITM Trace Privilege Register Definitions */
-#define ITM_TPR_PRIVMASK_Pos                0                                             /*!< ITM TPR: PRIVMASK Position */
-#define ITM_TPR_PRIVMASK_Msk               (0xFUL /*<< ITM_TPR_PRIVMASK_Pos*/)            /*!< ITM TPR: PRIVMASK Mask */
+#define ITM_TPR_PRIVMASK_Pos                0U                                            /*!< ITM TPR: PRIVMASK Position */
+#define ITM_TPR_PRIVMASK_Msk               (0xFFFFFFFFUL /*<< ITM_TPR_PRIVMASK_Pos*/)     /*!< ITM TPR: PRIVMASK Mask */
 
 /* ITM Trace Control Register Definitions */
-#define ITM_TCR_BUSY_Pos                   23                                             /*!< ITM TCR: BUSY Position */
+#define ITM_TCR_BUSY_Pos                   23U                                            /*!< ITM TCR: BUSY Position */
 #define ITM_TCR_BUSY_Msk                   (1UL << ITM_TCR_BUSY_Pos)                      /*!< ITM TCR: BUSY Mask */
 
-#define ITM_TCR_TraceBusID_Pos             16                                             /*!< ITM TCR: ATBID Position */
+#define ITM_TCR_TraceBusID_Pos             16U                                            /*!< ITM TCR: ATBID Position */
 #define ITM_TCR_TraceBusID_Msk             (0x7FUL << ITM_TCR_TraceBusID_Pos)             /*!< ITM TCR: ATBID Mask */
 
-#define ITM_TCR_GTSFREQ_Pos                10                                             /*!< ITM TCR: Global timestamp frequency Position */
+#define ITM_TCR_GTSFREQ_Pos                10U                                            /*!< ITM TCR: Global timestamp frequency Position */
 #define ITM_TCR_GTSFREQ_Msk                (3UL << ITM_TCR_GTSFREQ_Pos)                   /*!< ITM TCR: Global timestamp frequency Mask */
 
-#define ITM_TCR_TSPrescale_Pos              8                                             /*!< ITM TCR: TSPrescale Position */
+#define ITM_TCR_TSPrescale_Pos              8U                                            /*!< ITM TCR: TSPrescale Position */
 #define ITM_TCR_TSPrescale_Msk             (3UL << ITM_TCR_TSPrescale_Pos)                /*!< ITM TCR: TSPrescale Mask */
 
-#define ITM_TCR_SWOENA_Pos                  4                                             /*!< ITM TCR: SWOENA Position */
+#define ITM_TCR_SWOENA_Pos                  4U                                            /*!< ITM TCR: SWOENA Position */
 #define ITM_TCR_SWOENA_Msk                 (1UL << ITM_TCR_SWOENA_Pos)                    /*!< ITM TCR: SWOENA Mask */
 
-#define ITM_TCR_DWTENA_Pos                  3                                             /*!< ITM TCR: DWTENA Position */
+#define ITM_TCR_DWTENA_Pos                  3U                                            /*!< ITM TCR: DWTENA Position */
 #define ITM_TCR_DWTENA_Msk                 (1UL << ITM_TCR_DWTENA_Pos)                    /*!< ITM TCR: DWTENA Mask */
 
-#define ITM_TCR_SYNCENA_Pos                 2                                             /*!< ITM TCR: SYNCENA Position */
+#define ITM_TCR_SYNCENA_Pos                 2U                                            /*!< ITM TCR: SYNCENA Position */
 #define ITM_TCR_SYNCENA_Msk                (1UL << ITM_TCR_SYNCENA_Pos)                   /*!< ITM TCR: SYNCENA Mask */
 
-#define ITM_TCR_TSENA_Pos                   1                                             /*!< ITM TCR: TSENA Position */
+#define ITM_TCR_TSENA_Pos                   1U                                            /*!< ITM TCR: TSENA Position */
 #define ITM_TCR_TSENA_Msk                  (1UL << ITM_TCR_TSENA_Pos)                     /*!< ITM TCR: TSENA Mask */
 
-#define ITM_TCR_ITMENA_Pos                  0                                             /*!< ITM TCR: ITM Enable bit Position */
+#define ITM_TCR_ITMENA_Pos                  0U                                            /*!< ITM TCR: ITM Enable bit Position */
 #define ITM_TCR_ITMENA_Msk                 (1UL /*<< ITM_TCR_ITMENA_Pos*/)                /*!< ITM TCR: ITM Enable bit Mask */
 
 /* ITM Integration Write Register Definitions */
-#define ITM_IWR_ATVALIDM_Pos                0                                             /*!< ITM IWR: ATVALIDM Position */
+#define ITM_IWR_ATVALIDM_Pos                0U                                            /*!< ITM IWR: ATVALIDM Position */
 #define ITM_IWR_ATVALIDM_Msk               (1UL /*<< ITM_IWR_ATVALIDM_Pos*/)              /*!< ITM IWR: ATVALIDM Mask */
 
 /* ITM Integration Read Register Definitions */
-#define ITM_IRR_ATREADYM_Pos                0                                             /*!< ITM IRR: ATREADYM Position */
+#define ITM_IRR_ATREADYM_Pos                0U                                            /*!< ITM IRR: ATREADYM Position */
 #define ITM_IRR_ATREADYM_Msk               (1UL /*<< ITM_IRR_ATREADYM_Pos*/)              /*!< ITM IRR: ATREADYM Mask */
 
 /* ITM Integration Mode Control Register Definitions */
-#define ITM_IMCR_INTEGRATION_Pos            0                                             /*!< ITM IMCR: INTEGRATION Position */
+#define ITM_IMCR_INTEGRATION_Pos            0U                                            /*!< ITM IMCR: INTEGRATION Position */
 #define ITM_IMCR_INTEGRATION_Msk           (1UL /*<< ITM_IMCR_INTEGRATION_Pos*/)          /*!< ITM IMCR: INTEGRATION Mask */
 
 /* ITM Lock Status Register Definitions */
-#define ITM_LSR_ByteAcc_Pos                 2                                             /*!< ITM LSR: ByteAcc Position */
+#define ITM_LSR_ByteAcc_Pos                 2U                                            /*!< ITM LSR: ByteAcc Position */
 #define ITM_LSR_ByteAcc_Msk                (1UL << ITM_LSR_ByteAcc_Pos)                   /*!< ITM LSR: ByteAcc Mask */
 
-#define ITM_LSR_Access_Pos                  1                                             /*!< ITM LSR: Access Position */
+#define ITM_LSR_Access_Pos                  1U                                            /*!< ITM LSR: Access Position */
 #define ITM_LSR_Access_Msk                 (1UL << ITM_LSR_Access_Pos)                    /*!< ITM LSR: Access Mask */
 
-#define ITM_LSR_Present_Pos                 0                                             /*!< ITM LSR: Present Position */
+#define ITM_LSR_Present_Pos                 0U                                            /*!< ITM LSR: Present Position */
 #define ITM_LSR_Present_Msk                (1UL /*<< ITM_LSR_Present_Pos*/)               /*!< ITM LSR: Present Mask */
 
 /*@}*/ /* end of group CMSIS_ITM */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
-    \brief      Type definitions for the Data Watchpoint and Trace (DWT)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
+  \brief    Type definitions for the Data Watchpoint and Trace (DWT)
   @{
  */
 
-/** \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
+/**
+  \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  Control Register                          */
-  __IO uint32_t CYCCNT;                  /*!< Offset: 0x004 (R/W)  Cycle Count Register                      */
-  __IO uint32_t CPICNT;                  /*!< Offset: 0x008 (R/W)  CPI Count Register                        */
-  __IO uint32_t EXCCNT;                  /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register         */
-  __IO uint32_t SLEEPCNT;                /*!< Offset: 0x010 (R/W)  Sleep Count Register                      */
-  __IO uint32_t LSUCNT;                  /*!< Offset: 0x014 (R/W)  LSU Count Register                        */
-  __IO uint32_t FOLDCNT;                 /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register         */
-  __I  uint32_t PCSR;                    /*!< Offset: 0x01C (R/ )  Program Counter Sample Register           */
-  __IO uint32_t COMP0;                   /*!< Offset: 0x020 (R/W)  Comparator Register 0                     */
-  __IO uint32_t MASK0;                   /*!< Offset: 0x024 (R/W)  Mask Register 0                           */
-  __IO uint32_t FUNCTION0;               /*!< Offset: 0x028 (R/W)  Function Register 0                       */
-       uint32_t RESERVED0[1];
-  __IO uint32_t COMP1;                   /*!< Offset: 0x030 (R/W)  Comparator Register 1                     */
-  __IO uint32_t MASK1;                   /*!< Offset: 0x034 (R/W)  Mask Register 1                           */
-  __IO uint32_t FUNCTION1;               /*!< Offset: 0x038 (R/W)  Function Register 1                       */
-       uint32_t RESERVED1[1];
-  __IO uint32_t COMP2;                   /*!< Offset: 0x040 (R/W)  Comparator Register 2                     */
-  __IO uint32_t MASK2;                   /*!< Offset: 0x044 (R/W)  Mask Register 2                           */
-  __IO uint32_t FUNCTION2;               /*!< Offset: 0x048 (R/W)  Function Register 2                       */
-       uint32_t RESERVED2[1];
-  __IO uint32_t COMP3;                   /*!< Offset: 0x050 (R/W)  Comparator Register 3                     */
-  __IO uint32_t MASK3;                   /*!< Offset: 0x054 (R/W)  Mask Register 3                           */
-  __IO uint32_t FUNCTION3;               /*!< Offset: 0x058 (R/W)  Function Register 3                       */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  Control Register */
+  __IOM uint32_t CYCCNT;                 /*!< Offset: 0x004 (R/W)  Cycle Count Register */
+  __IOM uint32_t CPICNT;                 /*!< Offset: 0x008 (R/W)  CPI Count Register */
+  __IOM uint32_t EXCCNT;                 /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register */
+  __IOM uint32_t SLEEPCNT;               /*!< Offset: 0x010 (R/W)  Sleep Count Register */
+  __IOM uint32_t LSUCNT;                 /*!< Offset: 0x014 (R/W)  LSU Count Register */
+  __IOM uint32_t FOLDCNT;                /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register */
+  __IM  uint32_t PCSR;                   /*!< Offset: 0x01C (R/ )  Program Counter Sample Register */
+  __IOM uint32_t COMP0;                  /*!< Offset: 0x020 (R/W)  Comparator Register 0 */
+  __IOM uint32_t MASK0;                  /*!< Offset: 0x024 (R/W)  Mask Register 0 */
+  __IOM uint32_t FUNCTION0;              /*!< Offset: 0x028 (R/W)  Function Register 0 */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t COMP1;                  /*!< Offset: 0x030 (R/W)  Comparator Register 1 */
+  __IOM uint32_t MASK1;                  /*!< Offset: 0x034 (R/W)  Mask Register 1 */
+  __IOM uint32_t FUNCTION1;              /*!< Offset: 0x038 (R/W)  Function Register 1 */
+        uint32_t RESERVED1[1U];
+  __IOM uint32_t COMP2;                  /*!< Offset: 0x040 (R/W)  Comparator Register 2 */
+  __IOM uint32_t MASK2;                  /*!< Offset: 0x044 (R/W)  Mask Register 2 */
+  __IOM uint32_t FUNCTION2;              /*!< Offset: 0x048 (R/W)  Function Register 2 */
+        uint32_t RESERVED2[1U];
+  __IOM uint32_t COMP3;                  /*!< Offset: 0x050 (R/W)  Comparator Register 3 */
+  __IOM uint32_t MASK3;                  /*!< Offset: 0x054 (R/W)  Mask Register 3 */
+  __IOM uint32_t FUNCTION3;              /*!< Offset: 0x058 (R/W)  Function Register 3 */
 } DWT_Type;
 
 /* DWT Control Register Definitions */
-#define DWT_CTRL_NUMCOMP_Pos               28                                          /*!< DWT CTRL: NUMCOMP Position */
+#define DWT_CTRL_NUMCOMP_Pos               28U                                         /*!< DWT CTRL: NUMCOMP Position */
 #define DWT_CTRL_NUMCOMP_Msk               (0xFUL << DWT_CTRL_NUMCOMP_Pos)             /*!< DWT CTRL: NUMCOMP Mask */
 
-#define DWT_CTRL_NOTRCPKT_Pos              27                                          /*!< DWT CTRL: NOTRCPKT Position */
+#define DWT_CTRL_NOTRCPKT_Pos              27U                                         /*!< DWT CTRL: NOTRCPKT Position */
 #define DWT_CTRL_NOTRCPKT_Msk              (0x1UL << DWT_CTRL_NOTRCPKT_Pos)            /*!< DWT CTRL: NOTRCPKT Mask */
 
-#define DWT_CTRL_NOEXTTRIG_Pos             26                                          /*!< DWT CTRL: NOEXTTRIG Position */
+#define DWT_CTRL_NOEXTTRIG_Pos             26U                                         /*!< DWT CTRL: NOEXTTRIG Position */
 #define DWT_CTRL_NOEXTTRIG_Msk             (0x1UL << DWT_CTRL_NOEXTTRIG_Pos)           /*!< DWT CTRL: NOEXTTRIG Mask */
 
-#define DWT_CTRL_NOCYCCNT_Pos              25                                          /*!< DWT CTRL: NOCYCCNT Position */
+#define DWT_CTRL_NOCYCCNT_Pos              25U                                         /*!< DWT CTRL: NOCYCCNT Position */
 #define DWT_CTRL_NOCYCCNT_Msk              (0x1UL << DWT_CTRL_NOCYCCNT_Pos)            /*!< DWT CTRL: NOCYCCNT Mask */
 
-#define DWT_CTRL_NOPRFCNT_Pos              24                                          /*!< DWT CTRL: NOPRFCNT Position */
+#define DWT_CTRL_NOPRFCNT_Pos              24U                                         /*!< DWT CTRL: NOPRFCNT Position */
 #define DWT_CTRL_NOPRFCNT_Msk              (0x1UL << DWT_CTRL_NOPRFCNT_Pos)            /*!< DWT CTRL: NOPRFCNT Mask */
 
-#define DWT_CTRL_CYCEVTENA_Pos             22                                          /*!< DWT CTRL: CYCEVTENA Position */
+#define DWT_CTRL_CYCEVTENA_Pos             22U                                         /*!< DWT CTRL: CYCEVTENA Position */
 #define DWT_CTRL_CYCEVTENA_Msk             (0x1UL << DWT_CTRL_CYCEVTENA_Pos)           /*!< DWT CTRL: CYCEVTENA Mask */
 
-#define DWT_CTRL_FOLDEVTENA_Pos            21                                          /*!< DWT CTRL: FOLDEVTENA Position */
+#define DWT_CTRL_FOLDEVTENA_Pos            21U                                         /*!< DWT CTRL: FOLDEVTENA Position */
 #define DWT_CTRL_FOLDEVTENA_Msk            (0x1UL << DWT_CTRL_FOLDEVTENA_Pos)          /*!< DWT CTRL: FOLDEVTENA Mask */
 
-#define DWT_CTRL_LSUEVTENA_Pos             20                                          /*!< DWT CTRL: LSUEVTENA Position */
+#define DWT_CTRL_LSUEVTENA_Pos             20U                                         /*!< DWT CTRL: LSUEVTENA Position */
 #define DWT_CTRL_LSUEVTENA_Msk             (0x1UL << DWT_CTRL_LSUEVTENA_Pos)           /*!< DWT CTRL: LSUEVTENA Mask */
 
-#define DWT_CTRL_SLEEPEVTENA_Pos           19                                          /*!< DWT CTRL: SLEEPEVTENA Position */
+#define DWT_CTRL_SLEEPEVTENA_Pos           19U                                         /*!< DWT CTRL: SLEEPEVTENA Position */
 #define DWT_CTRL_SLEEPEVTENA_Msk           (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos)         /*!< DWT CTRL: SLEEPEVTENA Mask */
 
-#define DWT_CTRL_EXCEVTENA_Pos             18                                          /*!< DWT CTRL: EXCEVTENA Position */
+#define DWT_CTRL_EXCEVTENA_Pos             18U                                         /*!< DWT CTRL: EXCEVTENA Position */
 #define DWT_CTRL_EXCEVTENA_Msk             (0x1UL << DWT_CTRL_EXCEVTENA_Pos)           /*!< DWT CTRL: EXCEVTENA Mask */
 
-#define DWT_CTRL_CPIEVTENA_Pos             17                                          /*!< DWT CTRL: CPIEVTENA Position */
+#define DWT_CTRL_CPIEVTENA_Pos             17U                                         /*!< DWT CTRL: CPIEVTENA Position */
 #define DWT_CTRL_CPIEVTENA_Msk             (0x1UL << DWT_CTRL_CPIEVTENA_Pos)           /*!< DWT CTRL: CPIEVTENA Mask */
 
-#define DWT_CTRL_EXCTRCENA_Pos             16                                          /*!< DWT CTRL: EXCTRCENA Position */
+#define DWT_CTRL_EXCTRCENA_Pos             16U                                         /*!< DWT CTRL: EXCTRCENA Position */
 #define DWT_CTRL_EXCTRCENA_Msk             (0x1UL << DWT_CTRL_EXCTRCENA_Pos)           /*!< DWT CTRL: EXCTRCENA Mask */
 
-#define DWT_CTRL_PCSAMPLENA_Pos            12                                          /*!< DWT CTRL: PCSAMPLENA Position */
+#define DWT_CTRL_PCSAMPLENA_Pos            12U                                         /*!< DWT CTRL: PCSAMPLENA Position */
 #define DWT_CTRL_PCSAMPLENA_Msk            (0x1UL << DWT_CTRL_PCSAMPLENA_Pos)          /*!< DWT CTRL: PCSAMPLENA Mask */
 
-#define DWT_CTRL_SYNCTAP_Pos               10                                          /*!< DWT CTRL: SYNCTAP Position */
+#define DWT_CTRL_SYNCTAP_Pos               10U                                         /*!< DWT CTRL: SYNCTAP Position */
 #define DWT_CTRL_SYNCTAP_Msk               (0x3UL << DWT_CTRL_SYNCTAP_Pos)             /*!< DWT CTRL: SYNCTAP Mask */
 
-#define DWT_CTRL_CYCTAP_Pos                 9                                          /*!< DWT CTRL: CYCTAP Position */
+#define DWT_CTRL_CYCTAP_Pos                 9U                                         /*!< DWT CTRL: CYCTAP Position */
 #define DWT_CTRL_CYCTAP_Msk                (0x1UL << DWT_CTRL_CYCTAP_Pos)              /*!< DWT CTRL: CYCTAP Mask */
 
-#define DWT_CTRL_POSTINIT_Pos               5                                          /*!< DWT CTRL: POSTINIT Position */
+#define DWT_CTRL_POSTINIT_Pos               5U                                         /*!< DWT CTRL: POSTINIT Position */
 #define DWT_CTRL_POSTINIT_Msk              (0xFUL << DWT_CTRL_POSTINIT_Pos)            /*!< DWT CTRL: POSTINIT Mask */
 
-#define DWT_CTRL_POSTPRESET_Pos             1                                          /*!< DWT CTRL: POSTPRESET Position */
+#define DWT_CTRL_POSTPRESET_Pos             1U                                         /*!< DWT CTRL: POSTPRESET Position */
 #define DWT_CTRL_POSTPRESET_Msk            (0xFUL << DWT_CTRL_POSTPRESET_Pos)          /*!< DWT CTRL: POSTPRESET Mask */
 
-#define DWT_CTRL_CYCCNTENA_Pos              0                                          /*!< DWT CTRL: CYCCNTENA Position */
+#define DWT_CTRL_CYCCNTENA_Pos              0U                                         /*!< DWT CTRL: CYCCNTENA Position */
 #define DWT_CTRL_CYCCNTENA_Msk             (0x1UL /*<< DWT_CTRL_CYCCNTENA_Pos*/)       /*!< DWT CTRL: CYCCNTENA Mask */
 
 /* DWT CPI Count Register Definitions */
-#define DWT_CPICNT_CPICNT_Pos               0                                          /*!< DWT CPICNT: CPICNT Position */
+#define DWT_CPICNT_CPICNT_Pos               0U                                         /*!< DWT CPICNT: CPICNT Position */
 #define DWT_CPICNT_CPICNT_Msk              (0xFFUL /*<< DWT_CPICNT_CPICNT_Pos*/)       /*!< DWT CPICNT: CPICNT Mask */
 
 /* DWT Exception Overhead Count Register Definitions */
-#define DWT_EXCCNT_EXCCNT_Pos               0                                          /*!< DWT EXCCNT: EXCCNT Position */
+#define DWT_EXCCNT_EXCCNT_Pos               0U                                         /*!< DWT EXCCNT: EXCCNT Position */
 #define DWT_EXCCNT_EXCCNT_Msk              (0xFFUL /*<< DWT_EXCCNT_EXCCNT_Pos*/)       /*!< DWT EXCCNT: EXCCNT Mask */
 
 /* DWT Sleep Count Register Definitions */
-#define DWT_SLEEPCNT_SLEEPCNT_Pos           0                                          /*!< DWT SLEEPCNT: SLEEPCNT Position */
+#define DWT_SLEEPCNT_SLEEPCNT_Pos           0U                                         /*!< DWT SLEEPCNT: SLEEPCNT Position */
 #define DWT_SLEEPCNT_SLEEPCNT_Msk          (0xFFUL /*<< DWT_SLEEPCNT_SLEEPCNT_Pos*/)   /*!< DWT SLEEPCNT: SLEEPCNT Mask */
 
 /* DWT LSU Count Register Definitions */
-#define DWT_LSUCNT_LSUCNT_Pos               0                                          /*!< DWT LSUCNT: LSUCNT Position */
+#define DWT_LSUCNT_LSUCNT_Pos               0U                                         /*!< DWT LSUCNT: LSUCNT Position */
 #define DWT_LSUCNT_LSUCNT_Msk              (0xFFUL /*<< DWT_LSUCNT_LSUCNT_Pos*/)       /*!< DWT LSUCNT: LSUCNT Mask */
 
 /* DWT Folded-instruction Count Register Definitions */
-#define DWT_FOLDCNT_FOLDCNT_Pos             0                                          /*!< DWT FOLDCNT: FOLDCNT Position */
+#define DWT_FOLDCNT_FOLDCNT_Pos             0U                                         /*!< DWT FOLDCNT: FOLDCNT Position */
 #define DWT_FOLDCNT_FOLDCNT_Msk            (0xFFUL /*<< DWT_FOLDCNT_FOLDCNT_Pos*/)     /*!< DWT FOLDCNT: FOLDCNT Mask */
 
 /* DWT Comparator Mask Register Definitions */
-#define DWT_MASK_MASK_Pos                   0                                          /*!< DWT MASK: MASK Position */
+#define DWT_MASK_MASK_Pos                   0U                                         /*!< DWT MASK: MASK Position */
 #define DWT_MASK_MASK_Msk                  (0x1FUL /*<< DWT_MASK_MASK_Pos*/)           /*!< DWT MASK: MASK Mask */
 
 /* DWT Comparator Function Register Definitions */
-#define DWT_FUNCTION_MATCHED_Pos           24                                          /*!< DWT FUNCTION: MATCHED Position */
+#define DWT_FUNCTION_MATCHED_Pos           24U                                         /*!< DWT FUNCTION: MATCHED Position */
 #define DWT_FUNCTION_MATCHED_Msk           (0x1UL << DWT_FUNCTION_MATCHED_Pos)         /*!< DWT FUNCTION: MATCHED Mask */
 
-#define DWT_FUNCTION_DATAVADDR1_Pos        16                                          /*!< DWT FUNCTION: DATAVADDR1 Position */
+#define DWT_FUNCTION_DATAVADDR1_Pos        16U                                         /*!< DWT FUNCTION: DATAVADDR1 Position */
 #define DWT_FUNCTION_DATAVADDR1_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos)      /*!< DWT FUNCTION: DATAVADDR1 Mask */
 
-#define DWT_FUNCTION_DATAVADDR0_Pos        12                                          /*!< DWT FUNCTION: DATAVADDR0 Position */
+#define DWT_FUNCTION_DATAVADDR0_Pos        12U                                         /*!< DWT FUNCTION: DATAVADDR0 Position */
 #define DWT_FUNCTION_DATAVADDR0_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos)      /*!< DWT FUNCTION: DATAVADDR0 Mask */
 
-#define DWT_FUNCTION_DATAVSIZE_Pos         10                                          /*!< DWT FUNCTION: DATAVSIZE Position */
+#define DWT_FUNCTION_DATAVSIZE_Pos         10U                                         /*!< DWT FUNCTION: DATAVSIZE Position */
 #define DWT_FUNCTION_DATAVSIZE_Msk         (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos)       /*!< DWT FUNCTION: DATAVSIZE Mask */
 
-#define DWT_FUNCTION_LNK1ENA_Pos            9                                          /*!< DWT FUNCTION: LNK1ENA Position */
+#define DWT_FUNCTION_LNK1ENA_Pos            9U                                         /*!< DWT FUNCTION: LNK1ENA Position */
 #define DWT_FUNCTION_LNK1ENA_Msk           (0x1UL << DWT_FUNCTION_LNK1ENA_Pos)         /*!< DWT FUNCTION: LNK1ENA Mask */
 
-#define DWT_FUNCTION_DATAVMATCH_Pos         8                                          /*!< DWT FUNCTION: DATAVMATCH Position */
+#define DWT_FUNCTION_DATAVMATCH_Pos         8U                                         /*!< DWT FUNCTION: DATAVMATCH Position */
 #define DWT_FUNCTION_DATAVMATCH_Msk        (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos)      /*!< DWT FUNCTION: DATAVMATCH Mask */
 
-#define DWT_FUNCTION_CYCMATCH_Pos           7                                          /*!< DWT FUNCTION: CYCMATCH Position */
+#define DWT_FUNCTION_CYCMATCH_Pos           7U                                         /*!< DWT FUNCTION: CYCMATCH Position */
 #define DWT_FUNCTION_CYCMATCH_Msk          (0x1UL << DWT_FUNCTION_CYCMATCH_Pos)        /*!< DWT FUNCTION: CYCMATCH Mask */
 
-#define DWT_FUNCTION_EMITRANGE_Pos          5                                          /*!< DWT FUNCTION: EMITRANGE Position */
+#define DWT_FUNCTION_EMITRANGE_Pos          5U                                         /*!< DWT FUNCTION: EMITRANGE Position */
 #define DWT_FUNCTION_EMITRANGE_Msk         (0x1UL << DWT_FUNCTION_EMITRANGE_Pos)       /*!< DWT FUNCTION: EMITRANGE Mask */
 
-#define DWT_FUNCTION_FUNCTION_Pos           0                                          /*!< DWT FUNCTION: FUNCTION Position */
+#define DWT_FUNCTION_FUNCTION_Pos           0U                                         /*!< DWT FUNCTION: FUNCTION Position */
 #define DWT_FUNCTION_FUNCTION_Msk          (0xFUL /*<< DWT_FUNCTION_FUNCTION_Pos*/)    /*!< DWT FUNCTION: FUNCTION Mask */
 
 /*@}*/ /* end of group CMSIS_DWT */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_TPI     Trace Port Interface (TPI)
-    \brief      Type definitions for the Trace Port Interface (TPI)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_TPI     Trace Port Interface (TPI)
+  \brief    Type definitions for the Trace Port Interface (TPI)
   @{
  */
 
-/** \brief  Structure type to access the Trace Port Interface Register (TPI).
+/**
+  \brief  Structure type to access the Trace Port Interface Register (TPI).
  */
 typedef struct
 {
-  __IO uint32_t SSPSR;                   /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register     */
-  __IO uint32_t CSPSR;                   /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
-       uint32_t RESERVED0[2];
-  __IO uint32_t ACPR;                    /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
-       uint32_t RESERVED1[55];
-  __IO uint32_t SPPR;                    /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
-       uint32_t RESERVED2[131];
-  __I  uint32_t FFSR;                    /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
-  __IO uint32_t FFCR;                    /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
-  __I  uint32_t FSCR;                    /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
-       uint32_t RESERVED3[759];
-  __I  uint32_t TRIGGER;                 /*!< Offset: 0xEE8 (R/ )  TRIGGER */
-  __I  uint32_t FIFO0;                   /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
-  __I  uint32_t ITATBCTR2;               /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
-       uint32_t RESERVED4[1];
-  __I  uint32_t ITATBCTR0;               /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
-  __I  uint32_t FIFO1;                   /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
-  __IO uint32_t ITCTRL;                  /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
-       uint32_t RESERVED5[39];
-  __IO uint32_t CLAIMSET;                /*!< Offset: 0xFA0 (R/W)  Claim tag set */
-  __IO uint32_t CLAIMCLR;                /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
-       uint32_t RESERVED7[8];
-  __I  uint32_t DEVID;                   /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
-  __I  uint32_t DEVTYPE;                 /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
+  __IM  uint32_t SSPSR;                  /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register */
+  __IOM uint32_t CSPSR;                  /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
+        uint32_t RESERVED0[2U];
+  __IOM uint32_t ACPR;                   /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
+        uint32_t RESERVED1[55U];
+  __IOM uint32_t SPPR;                   /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
+        uint32_t RESERVED2[131U];
+  __IM  uint32_t FFSR;                   /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
+  __IOM uint32_t FFCR;                   /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
+  __IM  uint32_t FSCR;                   /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
+        uint32_t RESERVED3[759U];
+  __IM  uint32_t TRIGGER;                /*!< Offset: 0xEE8 (R/ )  TRIGGER Register */
+  __IM  uint32_t FIFO0;                  /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
+  __IM  uint32_t ITATBCTR2;              /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
+        uint32_t RESERVED4[1U];
+  __IM  uint32_t ITATBCTR0;              /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
+  __IM  uint32_t FIFO1;                  /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
+  __IOM uint32_t ITCTRL;                 /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
+        uint32_t RESERVED5[39U];
+  __IOM uint32_t CLAIMSET;               /*!< Offset: 0xFA0 (R/W)  Claim tag set */
+  __IOM uint32_t CLAIMCLR;               /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
+        uint32_t RESERVED7[8U];
+  __IM  uint32_t DEVID;                  /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
+  __IM  uint32_t DEVTYPE;                /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
 } TPI_Type;
 
 /* TPI Asynchronous Clock Prescaler Register Definitions */
-#define TPI_ACPR_PRESCALER_Pos              0                                          /*!< TPI ACPR: PRESCALER Position */
+#define TPI_ACPR_PRESCALER_Pos              0U                                         /*!< TPI ACPR: PRESCALER Position */
 #define TPI_ACPR_PRESCALER_Msk             (0x1FFFUL /*<< TPI_ACPR_PRESCALER_Pos*/)    /*!< TPI ACPR: PRESCALER Mask */
 
 /* TPI Selected Pin Protocol Register Definitions */
-#define TPI_SPPR_TXMODE_Pos                 0                                          /*!< TPI SPPR: TXMODE Position */
+#define TPI_SPPR_TXMODE_Pos                 0U                                         /*!< TPI SPPR: TXMODE Position */
 #define TPI_SPPR_TXMODE_Msk                (0x3UL /*<< TPI_SPPR_TXMODE_Pos*/)          /*!< TPI SPPR: TXMODE Mask */
 
 /* TPI Formatter and Flush Status Register Definitions */
-#define TPI_FFSR_FtNonStop_Pos              3                                          /*!< TPI FFSR: FtNonStop Position */
+#define TPI_FFSR_FtNonStop_Pos              3U                                         /*!< TPI FFSR: FtNonStop Position */
 #define TPI_FFSR_FtNonStop_Msk             (0x1UL << TPI_FFSR_FtNonStop_Pos)           /*!< TPI FFSR: FtNonStop Mask */
 
-#define TPI_FFSR_TCPresent_Pos              2                                          /*!< TPI FFSR: TCPresent Position */
+#define TPI_FFSR_TCPresent_Pos              2U                                         /*!< TPI FFSR: TCPresent Position */
 #define TPI_FFSR_TCPresent_Msk             (0x1UL << TPI_FFSR_TCPresent_Pos)           /*!< TPI FFSR: TCPresent Mask */
 
-#define TPI_FFSR_FtStopped_Pos              1                                          /*!< TPI FFSR: FtStopped Position */
+#define TPI_FFSR_FtStopped_Pos              1U                                         /*!< TPI FFSR: FtStopped Position */
 #define TPI_FFSR_FtStopped_Msk             (0x1UL << TPI_FFSR_FtStopped_Pos)           /*!< TPI FFSR: FtStopped Mask */
 
-#define TPI_FFSR_FlInProg_Pos               0                                          /*!< TPI FFSR: FlInProg Position */
+#define TPI_FFSR_FlInProg_Pos               0U                                         /*!< TPI FFSR: FlInProg Position */
 #define TPI_FFSR_FlInProg_Msk              (0x1UL /*<< TPI_FFSR_FlInProg_Pos*/)        /*!< TPI FFSR: FlInProg Mask */
 
 /* TPI Formatter and Flush Control Register Definitions */
-#define TPI_FFCR_TrigIn_Pos                 8                                          /*!< TPI FFCR: TrigIn Position */
+#define TPI_FFCR_TrigIn_Pos                 8U                                         /*!< TPI FFCR: TrigIn Position */
 #define TPI_FFCR_TrigIn_Msk                (0x1UL << TPI_FFCR_TrigIn_Pos)              /*!< TPI FFCR: TrigIn Mask */
 
-#define TPI_FFCR_EnFCont_Pos                1                                          /*!< TPI FFCR: EnFCont Position */
+#define TPI_FFCR_EnFCont_Pos                1U                                         /*!< TPI FFCR: EnFCont Position */
 #define TPI_FFCR_EnFCont_Msk               (0x1UL << TPI_FFCR_EnFCont_Pos)             /*!< TPI FFCR: EnFCont Mask */
 
 /* TPI TRIGGER Register Definitions */
-#define TPI_TRIGGER_TRIGGER_Pos             0                                          /*!< TPI TRIGGER: TRIGGER Position */
+#define TPI_TRIGGER_TRIGGER_Pos             0U                                         /*!< TPI TRIGGER: TRIGGER Position */
 #define TPI_TRIGGER_TRIGGER_Msk            (0x1UL /*<< TPI_TRIGGER_TRIGGER_Pos*/)      /*!< TPI TRIGGER: TRIGGER Mask */
 
 /* TPI Integration ETM Data Register Definitions (FIFO0) */
-#define TPI_FIFO0_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO0: ITM_ATVALID Position */
+#define TPI_FIFO0_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO0: ITM_ATVALID Position */
 #define TPI_FIFO0_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ITM_ATVALID_Pos)        /*!< TPI FIFO0: ITM_ATVALID Mask */
 
-#define TPI_FIFO0_ITM_bytecount_Pos        27                                          /*!< TPI FIFO0: ITM_bytecount Position */
+#define TPI_FIFO0_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO0: ITM_bytecount Position */
 #define TPI_FIFO0_ITM_bytecount_Msk        (0x3UL << TPI_FIFO0_ITM_bytecount_Pos)      /*!< TPI FIFO0: ITM_bytecount Mask */
 
-#define TPI_FIFO0_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO0: ETM_ATVALID Position */
+#define TPI_FIFO0_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO0: ETM_ATVALID Position */
 #define TPI_FIFO0_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ETM_ATVALID_Pos)        /*!< TPI FIFO0: ETM_ATVALID Mask */
 
-#define TPI_FIFO0_ETM_bytecount_Pos        24                                          /*!< TPI FIFO0: ETM_bytecount Position */
+#define TPI_FIFO0_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO0: ETM_bytecount Position */
 #define TPI_FIFO0_ETM_bytecount_Msk        (0x3UL << TPI_FIFO0_ETM_bytecount_Pos)      /*!< TPI FIFO0: ETM_bytecount Mask */
 
-#define TPI_FIFO0_ETM2_Pos                 16                                          /*!< TPI FIFO0: ETM2 Position */
+#define TPI_FIFO0_ETM2_Pos                 16U                                         /*!< TPI FIFO0: ETM2 Position */
 #define TPI_FIFO0_ETM2_Msk                 (0xFFUL << TPI_FIFO0_ETM2_Pos)              /*!< TPI FIFO0: ETM2 Mask */
 
-#define TPI_FIFO0_ETM1_Pos                  8                                          /*!< TPI FIFO0: ETM1 Position */
+#define TPI_FIFO0_ETM1_Pos                  8U                                         /*!< TPI FIFO0: ETM1 Position */
 #define TPI_FIFO0_ETM1_Msk                 (0xFFUL << TPI_FIFO0_ETM1_Pos)              /*!< TPI FIFO0: ETM1 Mask */
 
-#define TPI_FIFO0_ETM0_Pos                  0                                          /*!< TPI FIFO0: ETM0 Position */
+#define TPI_FIFO0_ETM0_Pos                  0U                                         /*!< TPI FIFO0: ETM0 Position */
 #define TPI_FIFO0_ETM0_Msk                 (0xFFUL /*<< TPI_FIFO0_ETM0_Pos*/)          /*!< TPI FIFO0: ETM0 Mask */
 
 /* TPI ITATBCTR2 Register Definitions */
-#define TPI_ITATBCTR2_ATREADY_Pos           0                                          /*!< TPI ITATBCTR2: ATREADY Position */
-#define TPI_ITATBCTR2_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR2_ATREADY_Pos*/)    /*!< TPI ITATBCTR2: ATREADY Mask */
+#define TPI_ITATBCTR2_ATREADY2_Pos          0U                                         /*!< TPI ITATBCTR2: ATREADY2 Position */
+#define TPI_ITATBCTR2_ATREADY2_Msk         (0x1UL /*<< TPI_ITATBCTR2_ATREADY2_Pos*/)   /*!< TPI ITATBCTR2: ATREADY2 Mask */
+
+#define TPI_ITATBCTR2_ATREADY1_Pos          0U                                         /*!< TPI ITATBCTR2: ATREADY1 Position */
+#define TPI_ITATBCTR2_ATREADY1_Msk         (0x1UL /*<< TPI_ITATBCTR2_ATREADY1_Pos*/)   /*!< TPI ITATBCTR2: ATREADY1 Mask */
 
 /* TPI Integration ITM Data Register Definitions (FIFO1) */
-#define TPI_FIFO1_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO1: ITM_ATVALID Position */
+#define TPI_FIFO1_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO1: ITM_ATVALID Position */
 #define TPI_FIFO1_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ITM_ATVALID_Pos)        /*!< TPI FIFO1: ITM_ATVALID Mask */
 
-#define TPI_FIFO1_ITM_bytecount_Pos        27                                          /*!< TPI FIFO1: ITM_bytecount Position */
+#define TPI_FIFO1_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO1: ITM_bytecount Position */
 #define TPI_FIFO1_ITM_bytecount_Msk        (0x3UL << TPI_FIFO1_ITM_bytecount_Pos)      /*!< TPI FIFO1: ITM_bytecount Mask */
 
-#define TPI_FIFO1_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO1: ETM_ATVALID Position */
+#define TPI_FIFO1_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO1: ETM_ATVALID Position */
 #define TPI_FIFO1_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ETM_ATVALID_Pos)        /*!< TPI FIFO1: ETM_ATVALID Mask */
 
-#define TPI_FIFO1_ETM_bytecount_Pos        24                                          /*!< TPI FIFO1: ETM_bytecount Position */
+#define TPI_FIFO1_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO1: ETM_bytecount Position */
 #define TPI_FIFO1_ETM_bytecount_Msk        (0x3UL << TPI_FIFO1_ETM_bytecount_Pos)      /*!< TPI FIFO1: ETM_bytecount Mask */
 
-#define TPI_FIFO1_ITM2_Pos                 16                                          /*!< TPI FIFO1: ITM2 Position */
+#define TPI_FIFO1_ITM2_Pos                 16U                                         /*!< TPI FIFO1: ITM2 Position */
 #define TPI_FIFO1_ITM2_Msk                 (0xFFUL << TPI_FIFO1_ITM2_Pos)              /*!< TPI FIFO1: ITM2 Mask */
 
-#define TPI_FIFO1_ITM1_Pos                  8                                          /*!< TPI FIFO1: ITM1 Position */
+#define TPI_FIFO1_ITM1_Pos                  8U                                         /*!< TPI FIFO1: ITM1 Position */
 #define TPI_FIFO1_ITM1_Msk                 (0xFFUL << TPI_FIFO1_ITM1_Pos)              /*!< TPI FIFO1: ITM1 Mask */
 
-#define TPI_FIFO1_ITM0_Pos                  0                                          /*!< TPI FIFO1: ITM0 Position */
+#define TPI_FIFO1_ITM0_Pos                  0U                                         /*!< TPI FIFO1: ITM0 Position */
 #define TPI_FIFO1_ITM0_Msk                 (0xFFUL /*<< TPI_FIFO1_ITM0_Pos*/)          /*!< TPI FIFO1: ITM0 Mask */
 
 /* TPI ITATBCTR0 Register Definitions */
-#define TPI_ITATBCTR0_ATREADY_Pos           0                                          /*!< TPI ITATBCTR0: ATREADY Position */
-#define TPI_ITATBCTR0_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR0_ATREADY_Pos*/)    /*!< TPI ITATBCTR0: ATREADY Mask */
+#define TPI_ITATBCTR0_ATREADY2_Pos          0U                                         /*!< TPI ITATBCTR0: ATREADY2 Position */
+#define TPI_ITATBCTR0_ATREADY2_Msk         (0x1UL /*<< TPI_ITATBCTR0_ATREADY2_Pos*/)   /*!< TPI ITATBCTR0: ATREADY2 Mask */
+
+#define TPI_ITATBCTR0_ATREADY1_Pos          0U                                         /*!< TPI ITATBCTR0: ATREADY1 Position */
+#define TPI_ITATBCTR0_ATREADY1_Msk         (0x1UL /*<< TPI_ITATBCTR0_ATREADY1_Pos*/)   /*!< TPI ITATBCTR0: ATREADY1 Mask */
 
 /* TPI Integration Mode Control Register Definitions */
-#define TPI_ITCTRL_Mode_Pos                 0                                          /*!< TPI ITCTRL: Mode Position */
-#define TPI_ITCTRL_Mode_Msk                (0x1UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
+#define TPI_ITCTRL_Mode_Pos                 0U                                         /*!< TPI ITCTRL: Mode Position */
+#define TPI_ITCTRL_Mode_Msk                (0x3UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
 
 /* TPI DEVID Register Definitions */
-#define TPI_DEVID_NRZVALID_Pos             11                                          /*!< TPI DEVID: NRZVALID Position */
+#define TPI_DEVID_NRZVALID_Pos             11U                                         /*!< TPI DEVID: NRZVALID Position */
 #define TPI_DEVID_NRZVALID_Msk             (0x1UL << TPI_DEVID_NRZVALID_Pos)           /*!< TPI DEVID: NRZVALID Mask */
 
-#define TPI_DEVID_MANCVALID_Pos            10                                          /*!< TPI DEVID: MANCVALID Position */
+#define TPI_DEVID_MANCVALID_Pos            10U                                         /*!< TPI DEVID: MANCVALID Position */
 #define TPI_DEVID_MANCVALID_Msk            (0x1UL << TPI_DEVID_MANCVALID_Pos)          /*!< TPI DEVID: MANCVALID Mask */
 
-#define TPI_DEVID_PTINVALID_Pos             9                                          /*!< TPI DEVID: PTINVALID Position */
+#define TPI_DEVID_PTINVALID_Pos             9U                                         /*!< TPI DEVID: PTINVALID Position */
 #define TPI_DEVID_PTINVALID_Msk            (0x1UL << TPI_DEVID_PTINVALID_Pos)          /*!< TPI DEVID: PTINVALID Mask */
 
-#define TPI_DEVID_MinBufSz_Pos              6                                          /*!< TPI DEVID: MinBufSz Position */
+#define TPI_DEVID_MinBufSz_Pos              6U                                         /*!< TPI DEVID: MinBufSz Position */
 #define TPI_DEVID_MinBufSz_Msk             (0x7UL << TPI_DEVID_MinBufSz_Pos)           /*!< TPI DEVID: MinBufSz Mask */
 
-#define TPI_DEVID_AsynClkIn_Pos             5                                          /*!< TPI DEVID: AsynClkIn Position */
+#define TPI_DEVID_AsynClkIn_Pos             5U                                         /*!< TPI DEVID: AsynClkIn Position */
 #define TPI_DEVID_AsynClkIn_Msk            (0x1UL << TPI_DEVID_AsynClkIn_Pos)          /*!< TPI DEVID: AsynClkIn Mask */
 
-#define TPI_DEVID_NrTraceInput_Pos          0                                          /*!< TPI DEVID: NrTraceInput Position */
+#define TPI_DEVID_NrTraceInput_Pos          0U                                         /*!< TPI DEVID: NrTraceInput Position */
 #define TPI_DEVID_NrTraceInput_Msk         (0x1FUL /*<< TPI_DEVID_NrTraceInput_Pos*/)  /*!< TPI DEVID: NrTraceInput Mask */
 
 /* TPI DEVTYPE Register Definitions */
-#define TPI_DEVTYPE_MajorType_Pos           4                                          /*!< TPI DEVTYPE: MajorType Position */
-#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
-
-#define TPI_DEVTYPE_SubType_Pos             0                                          /*!< TPI DEVTYPE: SubType Position */
+#define TPI_DEVTYPE_SubType_Pos             4U                                         /*!< TPI DEVTYPE: SubType Position */
 #define TPI_DEVTYPE_SubType_Msk            (0xFUL /*<< TPI_DEVTYPE_SubType_Pos*/)      /*!< TPI DEVTYPE: SubType Mask */
 
+#define TPI_DEVTYPE_MajorType_Pos           0U                                         /*!< TPI DEVTYPE: MajorType Position */
+#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
+
 /*@}*/ /* end of group CMSIS_TPI */
 
 
-#if (__MPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
-    \brief      Type definitions for the Memory Protection Unit (MPU)
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
   @{
  */
 
-/** \brief  Structure type to access the Memory Protection Unit (MPU).
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
  */
 typedef struct
 {
-  __I  uint32_t TYPE;                    /*!< Offset: 0x000 (R/ )  MPU Type Register                              */
-  __IO uint32_t CTRL;                    /*!< Offset: 0x004 (R/W)  MPU Control Register                           */
-  __IO uint32_t RNR;                     /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register                     */
-  __IO uint32_t RBAR;                    /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register               */
-  __IO uint32_t RASR;                    /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register         */
-  __IO uint32_t RBAR_A1;                 /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register       */
-  __IO uint32_t RASR_A1;                 /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A2;                 /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register       */
-  __IO uint32_t RASR_A2;                 /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A3;                 /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register       */
-  __IO uint32_t RASR_A3;                 /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A1;                /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register */
+  __IOM uint32_t RASR_A1;                /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A2;                /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register */
+  __IOM uint32_t RASR_A2;                /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A3;                /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register */
+  __IOM uint32_t RASR_A3;                /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
 } MPU_Type;
 
-/* MPU Type Register */
-#define MPU_TYPE_IREGION_Pos               16                                             /*!< MPU TYPE: IREGION Position */
+#define MPU_TYPE_RALIASES                  4U
+
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
 #define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
 
-#define MPU_TYPE_DREGION_Pos                8                                             /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
 #define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
 
-#define MPU_TYPE_SEPARATE_Pos               0                                             /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
 #define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
 
-/* MPU Control Register */
-#define MPU_CTRL_PRIVDEFENA_Pos             2                                             /*!< MPU CTRL: PRIVDEFENA Position */
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
 #define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
 
-#define MPU_CTRL_HFNMIENA_Pos               1                                             /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
 #define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
 
-#define MPU_CTRL_ENABLE_Pos                 0                                             /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
 #define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
 
-/* MPU Region Number Register */
-#define MPU_RNR_REGION_Pos                  0                                             /*!< MPU RNR: REGION Position */
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
 #define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
 
-/* MPU Region Base Address Register */
-#define MPU_RBAR_ADDR_Pos                   5                                             /*!< MPU RBAR: ADDR Position */
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   5U                                            /*!< MPU RBAR: ADDR Position */
 #define MPU_RBAR_ADDR_Msk                  (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos)             /*!< MPU RBAR: ADDR Mask */
 
-#define MPU_RBAR_VALID_Pos                  4                                             /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
 #define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
 
-#define MPU_RBAR_REGION_Pos                 0                                             /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
 #define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
 
-/* MPU Region Attribute and Size Register */
-#define MPU_RASR_ATTRS_Pos                 16                                             /*!< MPU RASR: MPU Region Attribute field Position */
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
 #define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
 
-#define MPU_RASR_XN_Pos                    28                                             /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
 #define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
 
-#define MPU_RASR_AP_Pos                    24                                             /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
 #define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
 
-#define MPU_RASR_TEX_Pos                   19                                             /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
 #define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
 
-#define MPU_RASR_S_Pos                     18                                             /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
 #define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
 
-#define MPU_RASR_C_Pos                     17                                             /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
 #define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
 
-#define MPU_RASR_B_Pos                     16                                             /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
 #define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
 
-#define MPU_RASR_SRD_Pos                    8                                             /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
 #define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
 
-#define MPU_RASR_SIZE_Pos                   1                                             /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
 #define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
 
-#define MPU_RASR_ENABLE_Pos                 0                                             /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
 #define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
 
 /*@} end of group CMSIS_MPU */
-#endif
+#endif /* defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U) */
 
 
-#if (__FPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_FPU     Floating Point Unit (FPU)
-    \brief      Type definitions for the Floating Point Unit (FPU)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_FPU     Floating Point Unit (FPU)
+  \brief    Type definitions for the Floating Point Unit (FPU)
   @{
  */
 
-/** \brief  Structure type to access the Floating Point Unit (FPU).
+/**
+  \brief  Structure type to access the Floating Point Unit (FPU).
  */
 typedef struct
 {
-       uint32_t RESERVED0[1];
-  __IO uint32_t FPCCR;                   /*!< Offset: 0x004 (R/W)  Floating-Point Context Control Register               */
-  __IO uint32_t FPCAR;                   /*!< Offset: 0x008 (R/W)  Floating-Point Context Address Register               */
-  __IO uint32_t FPDSCR;                  /*!< Offset: 0x00C (R/W)  Floating-Point Default Status Control Register        */
-  __I  uint32_t MVFR0;                   /*!< Offset: 0x010 (R/ )  Media and FP Feature Register 0                       */
-  __I  uint32_t MVFR1;                   /*!< Offset: 0x014 (R/ )  Media and FP Feature Register 1                       */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t FPCCR;                  /*!< Offset: 0x004 (R/W)  Floating-Point Context Control Register */
+  __IOM uint32_t FPCAR;                  /*!< Offset: 0x008 (R/W)  Floating-Point Context Address Register */
+  __IOM uint32_t FPDSCR;                 /*!< Offset: 0x00C (R/W)  Floating-Point Default Status Control Register */
+  __IM  uint32_t MVFR0;                  /*!< Offset: 0x010 (R/ )  Media and FP Feature Register 0 */
+  __IM  uint32_t MVFR1;                  /*!< Offset: 0x014 (R/ )  Media and FP Feature Register 1 */
 } FPU_Type;
 
-/* Floating-Point Context Control Register */
-#define FPU_FPCCR_ASPEN_Pos                31                                             /*!< FPCCR: ASPEN bit Position */
+/* Floating-Point Context Control Register Definitions */
+#define FPU_FPCCR_ASPEN_Pos                31U                                            /*!< FPCCR: ASPEN bit Position */
 #define FPU_FPCCR_ASPEN_Msk                (1UL << FPU_FPCCR_ASPEN_Pos)                   /*!< FPCCR: ASPEN bit Mask */
 
-#define FPU_FPCCR_LSPEN_Pos                30                                             /*!< FPCCR: LSPEN Position */
+#define FPU_FPCCR_LSPEN_Pos                30U                                            /*!< FPCCR: LSPEN Position */
 #define FPU_FPCCR_LSPEN_Msk                (1UL << FPU_FPCCR_LSPEN_Pos)                   /*!< FPCCR: LSPEN bit Mask */
 
-#define FPU_FPCCR_MONRDY_Pos                8                                             /*!< FPCCR: MONRDY Position */
+#define FPU_FPCCR_MONRDY_Pos                8U                                            /*!< FPCCR: MONRDY Position */
 #define FPU_FPCCR_MONRDY_Msk               (1UL << FPU_FPCCR_MONRDY_Pos)                  /*!< FPCCR: MONRDY bit Mask */
 
-#define FPU_FPCCR_BFRDY_Pos                 6                                             /*!< FPCCR: BFRDY Position */
+#define FPU_FPCCR_BFRDY_Pos                 6U                                            /*!< FPCCR: BFRDY Position */
 #define FPU_FPCCR_BFRDY_Msk                (1UL << FPU_FPCCR_BFRDY_Pos)                   /*!< FPCCR: BFRDY bit Mask */
 
-#define FPU_FPCCR_MMRDY_Pos                 5                                             /*!< FPCCR: MMRDY Position */
+#define FPU_FPCCR_MMRDY_Pos                 5U                                            /*!< FPCCR: MMRDY Position */
 #define FPU_FPCCR_MMRDY_Msk                (1UL << FPU_FPCCR_MMRDY_Pos)                   /*!< FPCCR: MMRDY bit Mask */
 
-#define FPU_FPCCR_HFRDY_Pos                 4                                             /*!< FPCCR: HFRDY Position */
+#define FPU_FPCCR_HFRDY_Pos                 4U                                            /*!< FPCCR: HFRDY Position */
 #define FPU_FPCCR_HFRDY_Msk                (1UL << FPU_FPCCR_HFRDY_Pos)                   /*!< FPCCR: HFRDY bit Mask */
 
-#define FPU_FPCCR_THREAD_Pos                3                                             /*!< FPCCR: processor mode bit Position */
+#define FPU_FPCCR_THREAD_Pos                3U                                            /*!< FPCCR: processor mode bit Position */
 #define FPU_FPCCR_THREAD_Msk               (1UL << FPU_FPCCR_THREAD_Pos)                  /*!< FPCCR: processor mode active bit Mask */
 
-#define FPU_FPCCR_USER_Pos                  1                                             /*!< FPCCR: privilege level bit Position */
+#define FPU_FPCCR_USER_Pos                  1U                                            /*!< FPCCR: privilege level bit Position */
 #define FPU_FPCCR_USER_Msk                 (1UL << FPU_FPCCR_USER_Pos)                    /*!< FPCCR: privilege level bit Mask */
 
-#define FPU_FPCCR_LSPACT_Pos                0                                             /*!< FPCCR: Lazy state preservation active bit Position */
+#define FPU_FPCCR_LSPACT_Pos                0U                                            /*!< FPCCR: Lazy state preservation active bit Position */
 #define FPU_FPCCR_LSPACT_Msk               (1UL /*<< FPU_FPCCR_LSPACT_Pos*/)              /*!< FPCCR: Lazy state preservation active bit Mask */
 
-/* Floating-Point Context Address Register */
-#define FPU_FPCAR_ADDRESS_Pos               3                                             /*!< FPCAR: ADDRESS bit Position */
+/* Floating-Point Context Address Register Definitions */
+#define FPU_FPCAR_ADDRESS_Pos               3U                                            /*!< FPCAR: ADDRESS bit Position */
 #define FPU_FPCAR_ADDRESS_Msk              (0x1FFFFFFFUL << FPU_FPCAR_ADDRESS_Pos)        /*!< FPCAR: ADDRESS bit Mask */
 
-/* Floating-Point Default Status Control Register */
-#define FPU_FPDSCR_AHP_Pos                 26                                             /*!< FPDSCR: AHP bit Position */
+/* Floating-Point Default Status Control Register Definitions */
+#define FPU_FPDSCR_AHP_Pos                 26U                                            /*!< FPDSCR: AHP bit Position */
 #define FPU_FPDSCR_AHP_Msk                 (1UL << FPU_FPDSCR_AHP_Pos)                    /*!< FPDSCR: AHP bit Mask */
 
-#define FPU_FPDSCR_DN_Pos                  25                                             /*!< FPDSCR: DN bit Position */
+#define FPU_FPDSCR_DN_Pos                  25U                                            /*!< FPDSCR: DN bit Position */
 #define FPU_FPDSCR_DN_Msk                  (1UL << FPU_FPDSCR_DN_Pos)                     /*!< FPDSCR: DN bit Mask */
 
-#define FPU_FPDSCR_FZ_Pos                  24                                             /*!< FPDSCR: FZ bit Position */
+#define FPU_FPDSCR_FZ_Pos                  24U                                            /*!< FPDSCR: FZ bit Position */
 #define FPU_FPDSCR_FZ_Msk                  (1UL << FPU_FPDSCR_FZ_Pos)                     /*!< FPDSCR: FZ bit Mask */
 
-#define FPU_FPDSCR_RMode_Pos               22                                             /*!< FPDSCR: RMode bit Position */
+#define FPU_FPDSCR_RMode_Pos               22U                                            /*!< FPDSCR: RMode bit Position */
 #define FPU_FPDSCR_RMode_Msk               (3UL << FPU_FPDSCR_RMode_Pos)                  /*!< FPDSCR: RMode bit Mask */
 
-/* Media and FP Feature Register 0 */
-#define FPU_MVFR0_FP_rounding_modes_Pos    28                                             /*!< MVFR0: FP rounding modes bits Position */
+/* Media and FP Feature Register 0 Definitions */
+#define FPU_MVFR0_FP_rounding_modes_Pos    28U                                            /*!< MVFR0: FP rounding modes bits Position */
 #define FPU_MVFR0_FP_rounding_modes_Msk    (0xFUL << FPU_MVFR0_FP_rounding_modes_Pos)     /*!< MVFR0: FP rounding modes bits Mask */
 
-#define FPU_MVFR0_Short_vectors_Pos        24                                             /*!< MVFR0: Short vectors bits Position */
+#define FPU_MVFR0_Short_vectors_Pos        24U                                            /*!< MVFR0: Short vectors bits Position */
 #define FPU_MVFR0_Short_vectors_Msk        (0xFUL << FPU_MVFR0_Short_vectors_Pos)         /*!< MVFR0: Short vectors bits Mask */
 
-#define FPU_MVFR0_Square_root_Pos          20                                             /*!< MVFR0: Square root bits Position */
+#define FPU_MVFR0_Square_root_Pos          20U                                            /*!< MVFR0: Square root bits Position */
 #define FPU_MVFR0_Square_root_Msk          (0xFUL << FPU_MVFR0_Square_root_Pos)           /*!< MVFR0: Square root bits Mask */
 
-#define FPU_MVFR0_Divide_Pos               16                                             /*!< MVFR0: Divide bits Position */
+#define FPU_MVFR0_Divide_Pos               16U                                            /*!< MVFR0: Divide bits Position */
 #define FPU_MVFR0_Divide_Msk               (0xFUL << FPU_MVFR0_Divide_Pos)                /*!< MVFR0: Divide bits Mask */
 
-#define FPU_MVFR0_FP_excep_trapping_Pos    12                                             /*!< MVFR0: FP exception trapping bits Position */
+#define FPU_MVFR0_FP_excep_trapping_Pos    12U                                            /*!< MVFR0: FP exception trapping bits Position */
 #define FPU_MVFR0_FP_excep_trapping_Msk    (0xFUL << FPU_MVFR0_FP_excep_trapping_Pos)     /*!< MVFR0: FP exception trapping bits Mask */
 
-#define FPU_MVFR0_Double_precision_Pos      8                                             /*!< MVFR0: Double-precision bits Position */
+#define FPU_MVFR0_Double_precision_Pos      8U                                            /*!< MVFR0: Double-precision bits Position */
 #define FPU_MVFR0_Double_precision_Msk     (0xFUL << FPU_MVFR0_Double_precision_Pos)      /*!< MVFR0: Double-precision bits Mask */
 
-#define FPU_MVFR0_Single_precision_Pos      4                                             /*!< MVFR0: Single-precision bits Position */
+#define FPU_MVFR0_Single_precision_Pos      4U                                            /*!< MVFR0: Single-precision bits Position */
 #define FPU_MVFR0_Single_precision_Msk     (0xFUL << FPU_MVFR0_Single_precision_Pos)      /*!< MVFR0: Single-precision bits Mask */
 
-#define FPU_MVFR0_A_SIMD_registers_Pos      0                                             /*!< MVFR0: A_SIMD registers bits Position */
+#define FPU_MVFR0_A_SIMD_registers_Pos      0U                                            /*!< MVFR0: A_SIMD registers bits Position */
 #define FPU_MVFR0_A_SIMD_registers_Msk     (0xFUL /*<< FPU_MVFR0_A_SIMD_registers_Pos*/)  /*!< MVFR0: A_SIMD registers bits Mask */
 
-/* Media and FP Feature Register 1 */
-#define FPU_MVFR1_FP_fused_MAC_Pos         28                                             /*!< MVFR1: FP fused MAC bits Position */
+/* Media and FP Feature Register 1 Definitions */
+#define FPU_MVFR1_FP_fused_MAC_Pos         28U                                            /*!< MVFR1: FP fused MAC bits Position */
 #define FPU_MVFR1_FP_fused_MAC_Msk         (0xFUL << FPU_MVFR1_FP_fused_MAC_Pos)          /*!< MVFR1: FP fused MAC bits Mask */
 
-#define FPU_MVFR1_FP_HPFP_Pos              24                                             /*!< MVFR1: FP HPFP bits Position */
+#define FPU_MVFR1_FP_HPFP_Pos              24U                                            /*!< MVFR1: FP HPFP bits Position */
 #define FPU_MVFR1_FP_HPFP_Msk              (0xFUL << FPU_MVFR1_FP_HPFP_Pos)               /*!< MVFR1: FP HPFP bits Mask */
 
-#define FPU_MVFR1_D_NaN_mode_Pos            4                                             /*!< MVFR1: D_NaN mode bits Position */
+#define FPU_MVFR1_D_NaN_mode_Pos            4U                                            /*!< MVFR1: D_NaN mode bits Position */
 #define FPU_MVFR1_D_NaN_mode_Msk           (0xFUL << FPU_MVFR1_D_NaN_mode_Pos)            /*!< MVFR1: D_NaN mode bits Mask */
 
-#define FPU_MVFR1_FtZ_mode_Pos              0                                             /*!< MVFR1: FtZ mode bits Position */
+#define FPU_MVFR1_FtZ_mode_Pos              0U                                            /*!< MVFR1: FtZ mode bits Position */
 #define FPU_MVFR1_FtZ_mode_Msk             (0xFUL /*<< FPU_MVFR1_FtZ_mode_Pos*/)          /*!< MVFR1: FtZ mode bits Mask */
 
 /*@} end of group CMSIS_FPU */
-#endif
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
-    \brief      Type definitions for the Core Debug Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Type definitions for the Core Debug Registers
   @{
  */
 
-/** \brief  Structure type to access the Core Debug Register (CoreDebug).
+/**
+  \brief  Structure type to access the Core Debug Register (CoreDebug).
  */
 typedef struct
 {
-  __IO uint32_t DHCSR;                   /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register    */
-  __O  uint32_t DCRSR;                   /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register        */
-  __IO uint32_t DCRDR;                   /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register            */
-  __IO uint32_t DEMCR;                   /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
+  __IOM uint32_t DHCSR;                  /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register */
+  __OM  uint32_t DCRSR;                  /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register */
+  __IOM uint32_t DCRDR;                  /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register */
+  __IOM uint32_t DEMCR;                  /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
 } CoreDebug_Type;
 
-/* Debug Halting Control and Status Register */
-#define CoreDebug_DHCSR_DBGKEY_Pos         16                                             /*!< CoreDebug DHCSR: DBGKEY Position */
+/* Debug Halting Control and Status Register Definitions */
+#define CoreDebug_DHCSR_DBGKEY_Pos         16U                                            /*!< CoreDebug DHCSR: DBGKEY Position */
 #define CoreDebug_DHCSR_DBGKEY_Msk         (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos)       /*!< CoreDebug DHCSR: DBGKEY Mask */
 
-#define CoreDebug_DHCSR_S_RESET_ST_Pos     25                                             /*!< CoreDebug DHCSR: S_RESET_ST Position */
+#define CoreDebug_DHCSR_S_RESET_ST_Pos     25U                                            /*!< CoreDebug DHCSR: S_RESET_ST Position */
 #define CoreDebug_DHCSR_S_RESET_ST_Msk     (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos)        /*!< CoreDebug DHCSR: S_RESET_ST Mask */
 
-#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24                                             /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
+#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24U                                            /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
 #define CoreDebug_DHCSR_S_RETIRE_ST_Msk    (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos)       /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */
 
-#define CoreDebug_DHCSR_S_LOCKUP_Pos       19                                             /*!< CoreDebug DHCSR: S_LOCKUP Position */
+#define CoreDebug_DHCSR_S_LOCKUP_Pos       19U                                            /*!< CoreDebug DHCSR: S_LOCKUP Position */
 #define CoreDebug_DHCSR_S_LOCKUP_Msk       (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos)          /*!< CoreDebug DHCSR: S_LOCKUP Mask */
 
-#define CoreDebug_DHCSR_S_SLEEP_Pos        18                                             /*!< CoreDebug DHCSR: S_SLEEP Position */
+#define CoreDebug_DHCSR_S_SLEEP_Pos        18U                                            /*!< CoreDebug DHCSR: S_SLEEP Position */
 #define CoreDebug_DHCSR_S_SLEEP_Msk        (1UL << CoreDebug_DHCSR_S_SLEEP_Pos)           /*!< CoreDebug DHCSR: S_SLEEP Mask */
 
-#define CoreDebug_DHCSR_S_HALT_Pos         17                                             /*!< CoreDebug DHCSR: S_HALT Position */
+#define CoreDebug_DHCSR_S_HALT_Pos         17U                                            /*!< CoreDebug DHCSR: S_HALT Position */
 #define CoreDebug_DHCSR_S_HALT_Msk         (1UL << CoreDebug_DHCSR_S_HALT_Pos)            /*!< CoreDebug DHCSR: S_HALT Mask */
 
-#define CoreDebug_DHCSR_S_REGRDY_Pos       16                                             /*!< CoreDebug DHCSR: S_REGRDY Position */
+#define CoreDebug_DHCSR_S_REGRDY_Pos       16U                                            /*!< CoreDebug DHCSR: S_REGRDY Position */
 #define CoreDebug_DHCSR_S_REGRDY_Msk       (1UL << CoreDebug_DHCSR_S_REGRDY_Pos)          /*!< CoreDebug DHCSR: S_REGRDY Mask */
 
-#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5                                             /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
+#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5U                                            /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
 #define CoreDebug_DHCSR_C_SNAPSTALL_Msk    (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos)       /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */
 
-#define CoreDebug_DHCSR_C_MASKINTS_Pos      3                                             /*!< CoreDebug DHCSR: C_MASKINTS Position */
+#define CoreDebug_DHCSR_C_MASKINTS_Pos      3U                                            /*!< CoreDebug DHCSR: C_MASKINTS Position */
 #define CoreDebug_DHCSR_C_MASKINTS_Msk     (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos)        /*!< CoreDebug DHCSR: C_MASKINTS Mask */
 
-#define CoreDebug_DHCSR_C_STEP_Pos          2                                             /*!< CoreDebug DHCSR: C_STEP Position */
+#define CoreDebug_DHCSR_C_STEP_Pos          2U                                            /*!< CoreDebug DHCSR: C_STEP Position */
 #define CoreDebug_DHCSR_C_STEP_Msk         (1UL << CoreDebug_DHCSR_C_STEP_Pos)            /*!< CoreDebug DHCSR: C_STEP Mask */
 
-#define CoreDebug_DHCSR_C_HALT_Pos          1                                             /*!< CoreDebug DHCSR: C_HALT Position */
+#define CoreDebug_DHCSR_C_HALT_Pos          1U                                            /*!< CoreDebug DHCSR: C_HALT Position */
 #define CoreDebug_DHCSR_C_HALT_Msk         (1UL << CoreDebug_DHCSR_C_HALT_Pos)            /*!< CoreDebug DHCSR: C_HALT Mask */
 
-#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0                                             /*!< CoreDebug DHCSR: C_DEBUGEN Position */
+#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0U                                            /*!< CoreDebug DHCSR: C_DEBUGEN Position */
 #define CoreDebug_DHCSR_C_DEBUGEN_Msk      (1UL /*<< CoreDebug_DHCSR_C_DEBUGEN_Pos*/)     /*!< CoreDebug DHCSR: C_DEBUGEN Mask */
 
-/* Debug Core Register Selector Register */
-#define CoreDebug_DCRSR_REGWnR_Pos         16                                             /*!< CoreDebug DCRSR: REGWnR Position */
+/* Debug Core Register Selector Register Definitions */
+#define CoreDebug_DCRSR_REGWnR_Pos         16U                                            /*!< CoreDebug DCRSR: REGWnR Position */
 #define CoreDebug_DCRSR_REGWnR_Msk         (1UL << CoreDebug_DCRSR_REGWnR_Pos)            /*!< CoreDebug DCRSR: REGWnR Mask */
 
-#define CoreDebug_DCRSR_REGSEL_Pos          0                                             /*!< CoreDebug DCRSR: REGSEL Position */
+#define CoreDebug_DCRSR_REGSEL_Pos          0U                                            /*!< CoreDebug DCRSR: REGSEL Position */
 #define CoreDebug_DCRSR_REGSEL_Msk         (0x1FUL /*<< CoreDebug_DCRSR_REGSEL_Pos*/)     /*!< CoreDebug DCRSR: REGSEL Mask */
 
-/* Debug Exception and Monitor Control Register */
-#define CoreDebug_DEMCR_TRCENA_Pos         24                                             /*!< CoreDebug DEMCR: TRCENA Position */
+/* Debug Exception and Monitor Control Register Definitions */
+#define CoreDebug_DEMCR_TRCENA_Pos         24U                                            /*!< CoreDebug DEMCR: TRCENA Position */
 #define CoreDebug_DEMCR_TRCENA_Msk         (1UL << CoreDebug_DEMCR_TRCENA_Pos)            /*!< CoreDebug DEMCR: TRCENA Mask */
 
-#define CoreDebug_DEMCR_MON_REQ_Pos        19                                             /*!< CoreDebug DEMCR: MON_REQ Position */
+#define CoreDebug_DEMCR_MON_REQ_Pos        19U                                            /*!< CoreDebug DEMCR: MON_REQ Position */
 #define CoreDebug_DEMCR_MON_REQ_Msk        (1UL << CoreDebug_DEMCR_MON_REQ_Pos)           /*!< CoreDebug DEMCR: MON_REQ Mask */
 
-#define CoreDebug_DEMCR_MON_STEP_Pos       18                                             /*!< CoreDebug DEMCR: MON_STEP Position */
+#define CoreDebug_DEMCR_MON_STEP_Pos       18U                                            /*!< CoreDebug DEMCR: MON_STEP Position */
 #define CoreDebug_DEMCR_MON_STEP_Msk       (1UL << CoreDebug_DEMCR_MON_STEP_Pos)          /*!< CoreDebug DEMCR: MON_STEP Mask */
 
-#define CoreDebug_DEMCR_MON_PEND_Pos       17                                             /*!< CoreDebug DEMCR: MON_PEND Position */
+#define CoreDebug_DEMCR_MON_PEND_Pos       17U                                            /*!< CoreDebug DEMCR: MON_PEND Position */
 #define CoreDebug_DEMCR_MON_PEND_Msk       (1UL << CoreDebug_DEMCR_MON_PEND_Pos)          /*!< CoreDebug DEMCR: MON_PEND Mask */
 
-#define CoreDebug_DEMCR_MON_EN_Pos         16                                             /*!< CoreDebug DEMCR: MON_EN Position */
+#define CoreDebug_DEMCR_MON_EN_Pos         16U                                            /*!< CoreDebug DEMCR: MON_EN Position */
 #define CoreDebug_DEMCR_MON_EN_Msk         (1UL << CoreDebug_DEMCR_MON_EN_Pos)            /*!< CoreDebug DEMCR: MON_EN Mask */
 
-#define CoreDebug_DEMCR_VC_HARDERR_Pos     10                                             /*!< CoreDebug DEMCR: VC_HARDERR Position */
+#define CoreDebug_DEMCR_VC_HARDERR_Pos     10U                                            /*!< CoreDebug DEMCR: VC_HARDERR Position */
 #define CoreDebug_DEMCR_VC_HARDERR_Msk     (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos)        /*!< CoreDebug DEMCR: VC_HARDERR Mask */
 
-#define CoreDebug_DEMCR_VC_INTERR_Pos       9                                             /*!< CoreDebug DEMCR: VC_INTERR Position */
+#define CoreDebug_DEMCR_VC_INTERR_Pos       9U                                            /*!< CoreDebug DEMCR: VC_INTERR Position */
 #define CoreDebug_DEMCR_VC_INTERR_Msk      (1UL << CoreDebug_DEMCR_VC_INTERR_Pos)         /*!< CoreDebug DEMCR: VC_INTERR Mask */
 
-#define CoreDebug_DEMCR_VC_BUSERR_Pos       8                                             /*!< CoreDebug DEMCR: VC_BUSERR Position */
+#define CoreDebug_DEMCR_VC_BUSERR_Pos       8U                                            /*!< CoreDebug DEMCR: VC_BUSERR Position */
 #define CoreDebug_DEMCR_VC_BUSERR_Msk      (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos)         /*!< CoreDebug DEMCR: VC_BUSERR Mask */
 
-#define CoreDebug_DEMCR_VC_STATERR_Pos      7                                             /*!< CoreDebug DEMCR: VC_STATERR Position */
+#define CoreDebug_DEMCR_VC_STATERR_Pos      7U                                            /*!< CoreDebug DEMCR: VC_STATERR Position */
 #define CoreDebug_DEMCR_VC_STATERR_Msk     (1UL << CoreDebug_DEMCR_VC_STATERR_Pos)        /*!< CoreDebug DEMCR: VC_STATERR Mask */
 
-#define CoreDebug_DEMCR_VC_CHKERR_Pos       6                                             /*!< CoreDebug DEMCR: VC_CHKERR Position */
+#define CoreDebug_DEMCR_VC_CHKERR_Pos       6U                                            /*!< CoreDebug DEMCR: VC_CHKERR Position */
 #define CoreDebug_DEMCR_VC_CHKERR_Msk      (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos)         /*!< CoreDebug DEMCR: VC_CHKERR Mask */
 
-#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5                                             /*!< CoreDebug DEMCR: VC_NOCPERR Position */
+#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5U                                            /*!< CoreDebug DEMCR: VC_NOCPERR Position */
 #define CoreDebug_DEMCR_VC_NOCPERR_Msk     (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos)        /*!< CoreDebug DEMCR: VC_NOCPERR Mask */
 
-#define CoreDebug_DEMCR_VC_MMERR_Pos        4                                             /*!< CoreDebug DEMCR: VC_MMERR Position */
+#define CoreDebug_DEMCR_VC_MMERR_Pos        4U                                            /*!< CoreDebug DEMCR: VC_MMERR Position */
 #define CoreDebug_DEMCR_VC_MMERR_Msk       (1UL << CoreDebug_DEMCR_VC_MMERR_Pos)          /*!< CoreDebug DEMCR: VC_MMERR Mask */
 
-#define CoreDebug_DEMCR_VC_CORERESET_Pos    0                                             /*!< CoreDebug DEMCR: VC_CORERESET Position */
+#define CoreDebug_DEMCR_VC_CORERESET_Pos    0U                                            /*!< CoreDebug DEMCR: VC_CORERESET Position */
 #define CoreDebug_DEMCR_VC_CORERESET_Msk   (1UL /*<< CoreDebug_DEMCR_VC_CORERESET_Pos*/)  /*!< CoreDebug DEMCR: VC_CORERESET Mask */
 
 /*@} end of group CMSIS_CoreDebug */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_core_base     Core Definitions
-    \brief      Definitions for base addresses, unions, and structures.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
   @{
  */
 
-/* Memory mapping of Cortex-M4 Hardware */
-#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address  */
-#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address                   */
-#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address                   */
-#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address                   */
-#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address            */
-#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address               */
-#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address                  */
-#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address  */
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    (((uint32_t)(value) << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    (((uint32_t)(value) & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
+  @{
+ */
+
+/* Memory mapping of Core Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address */
+#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address */
+#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address */
+#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
 
 #define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
-#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct           */
-#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct       */
-#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct          */
-#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct           */
-#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct           */
-#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct           */
-#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct    */
-
-#if (__MPU_PRESENT == 1)
-  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit             */
-  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit             */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct */
+#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct */
+#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct */
+#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct */
+
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
 #endif
 
-#if (__FPU_PRESENT == 1)
-  #define FPU_BASE          (SCS_BASE +  0x0F30UL)                    /*!< Floating Point Unit                */
-  #define FPU               ((FPU_Type       *)     FPU_BASE      )   /*!< Floating Point Unit                */
-#endif
+#define FPU_BASE            (SCS_BASE +  0x0F30UL)                    /*!< Floating Point Unit */
+#define FPU                 ((FPU_Type       *)     FPU_BASE      )   /*!< Floating Point Unit */
 
 /*@} */
 
@@ -1490,187 +1589,276 @@ typedef struct
   - Core Debug Functions
   - Core Register Access Functions
  ******************************************************************************/
-/** \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
 */
 
 
 
 /* ##########################   NVIC functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_NVICFunctions NVIC Functions
-    \brief      Functions that manage interrupts and exceptions via the NVIC.
-    @{
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
  */
 
-/** \brief  Set Priority Grouping
+#ifdef CMSIS_NVIC_VIRTUAL
+  #ifndef CMSIS_NVIC_VIRTUAL_HEADER_FILE
+    #define CMSIS_NVIC_VIRTUAL_HEADER_FILE "cmsis_nvic_virtual.h"
+  #endif
+  #include CMSIS_NVIC_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetPriorityGrouping    __NVIC_SetPriorityGrouping
+  #define NVIC_GetPriorityGrouping    __NVIC_GetPriorityGrouping
+  #define NVIC_EnableIRQ              __NVIC_EnableIRQ
+  #define NVIC_GetEnableIRQ           __NVIC_GetEnableIRQ
+  #define NVIC_DisableIRQ             __NVIC_DisableIRQ
+  #define NVIC_GetPendingIRQ          __NVIC_GetPendingIRQ
+  #define NVIC_SetPendingIRQ          __NVIC_SetPendingIRQ
+  #define NVIC_ClearPendingIRQ        __NVIC_ClearPendingIRQ
+  #define NVIC_GetActive              __NVIC_GetActive
+  #define NVIC_SetPriority            __NVIC_SetPriority
+  #define NVIC_GetPriority            __NVIC_GetPriority
+  #define NVIC_SystemReset            __NVIC_SystemReset
+#endif /* CMSIS_NVIC_VIRTUAL */
+
+#ifdef CMSIS_VECTAB_VIRTUAL
+  #ifndef CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+   #define CMSIS_VECTAB_VIRTUAL_HEADER_FILE "cmsis_vectab_virtual.h"
+  #endif
+  #include CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetVector              __NVIC_SetVector
+  #define NVIC_GetVector              __NVIC_GetVector
+#endif  /* (CMSIS_VECTAB_VIRTUAL) */
+
+#define NVIC_USER_IRQ_OFFSET          16
+
 
-  The function sets the priority grouping field using the required unlock sequence.
-  The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
-  Only values from 0..7 are used.
-  In case of a conflict between priority grouping and available
-  priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+/* The following EXC_RETURN values are saved the LR on exception entry */
+#define EXC_RETURN_HANDLER         (0xFFFFFFF1UL)     /* return to Handler mode, uses MSP after return                               */
+#define EXC_RETURN_THREAD_MSP      (0xFFFFFFF9UL)     /* return to Thread mode, uses MSP after return                                */
+#define EXC_RETURN_THREAD_PSP      (0xFFFFFFFDUL)     /* return to Thread mode, uses PSP after return                                */
+#define EXC_RETURN_HANDLER_FPU     (0xFFFFFFE1UL)     /* return to Handler mode, uses MSP after return, restore floating-point state */
+#define EXC_RETURN_THREAD_MSP_FPU  (0xFFFFFFE9UL)     /* return to Thread mode, uses MSP after return, restore floating-point state  */
+#define EXC_RETURN_THREAD_PSP_FPU  (0xFFFFFFEDUL)     /* return to Thread mode, uses PSP after return, restore floating-point state  */
 
-    \param [in]      PriorityGroup  Priority grouping field.
+
+/**
+  \brief   Set Priority Grouping
+  \details Sets the priority grouping field using the required unlock sequence.
+           The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
+           Only values from 0..7 are used.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]      PriorityGroup  Priority grouping field.
  */
-__STATIC_INLINE void NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
+__STATIC_INLINE void __NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
 {
   uint32_t reg_value;
   uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);             /* only values 0..7 are used          */
 
   reg_value  =  SCB->AIRCR;                                                   /* read old register configuration    */
-  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk));             /* clear bits to change               */
+  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk)); /* clear bits to change               */
   reg_value  =  (reg_value                                   |
                 ((uint32_t)0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
-                (PriorityGroupTmp << 8)                       );              /* Insert write key and priorty group */
+                (PriorityGroupTmp << SCB_AIRCR_PRIGROUP_Pos)  );              /* Insert write key and priority group */
   SCB->AIRCR =  reg_value;
 }
 
 
-/** \brief  Get Priority Grouping
-
-  The function reads the priority grouping field from the NVIC Interrupt Controller.
-
-    \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
+/**
+  \brief   Get Priority Grouping
+  \details Reads the priority grouping field from the NVIC Interrupt Controller.
+  \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
  */
-__STATIC_INLINE uint32_t NVIC_GetPriorityGrouping(void)
+__STATIC_INLINE uint32_t __NVIC_GetPriorityGrouping(void)
 {
   return ((uint32_t)((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos));
 }
 
 
-/** \brief  Enable External Interrupt
-
-    The function enables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Enable Interrupt
+  \details Enables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_EnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISER[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Disable External Interrupt
-
-    The function disables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Get Interrupt Enable status
+  \details Returns a device specific interrupt enable status from the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt is not enabled.
+  \return             1  Interrupt is enabled.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetEnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISER[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Get Pending Interrupt
-
-    The function reads the pending register in the NVIC and returns the pending bit
-    for the specified interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not pending.
-    \return             1  Interrupt status is pending.
+/**
+  \brief   Disable Interrupt
+  \details Disables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_DisableIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICER[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+    __DSB();
+    __ISB();
+  }
 }
 
 
-/** \brief  Set Pending Interrupt
-
-    The function sets the pending bit of an external interrupt.
-
-    \param [in]      IRQn  Interrupt number. Value cannot be negative.
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the NVIC pending register and returns the pending bit for the specified device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISPR[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Clear Pending Interrupt
-
-    The function clears the pending bit of an external interrupt.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_SetPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISPR[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Get Active Interrupt
-
-    The function reads the active register in NVIC and returns the active bit.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not active.
-    \return             1  Interrupt status is active.
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetActive(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_ClearPendingIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->IABR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICPR[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Set Interrupt Priority
-
-    The function sets the priority of an interrupt.
-
-    \note The priority cannot be set for every core interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-    \param [in]  priority  Priority to set.
+/**
+  \brief   Get Active Interrupt
+  \details Reads the active register in the NVIC and returns the active bit for the device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not active.
+  \return             1  Interrupt status is active.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+__STATIC_INLINE uint32_t __NVIC_GetActive(IRQn_Type IRQn)
 {
-  if((int32_t)IRQn < 0) {
-    SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->IABR[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
   }
-  else {
-    NVIC->IP[((uint32_t)(int32_t)IRQn)]               = (uint8_t)((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  else
+  {
+    return(0U);
   }
 }
 
 
-/** \brief  Get Interrupt Priority
-
-    The function reads the priority of an interrupt. The interrupt
-    number can be positive to specify an external (device specific)
-    interrupt, or negative to specify an internal (core) interrupt.
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+  \note    The priority cannot be set for every processor exception.
+ */
+__STATIC_INLINE void __NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->IP[((uint32_t)IRQn)]               = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+  else
+  {
+    SCB->SHP[(((uint32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+}
 
 
-    \param [in]   IRQn  Interrupt number.
-    \return             Interrupt Priority. Value is aligned automatically to the implemented
-                        priority bits of the microcontroller.
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
  */
-__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPriority(IRQn_Type IRQn)
 {
 
-  if((int32_t)IRQn < 0) {
-    return(((uint32_t)SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] >> (8 - __NVIC_PRIO_BITS)));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return(((uint32_t)NVIC->IP[((uint32_t)IRQn)]               >> (8U - __NVIC_PRIO_BITS)));
   }
-  else {
-    return(((uint32_t)NVIC->IP[((uint32_t)(int32_t)IRQn)]               >> (8 - __NVIC_PRIO_BITS)));
+  else
+  {
+    return(((uint32_t)SCB->SHP[(((uint32_t)IRQn) & 0xFUL)-4UL] >> (8U - __NVIC_PRIO_BITS)));
   }
 }
 
 
-/** \brief  Encode Priority
-
-    The function encodes the priority for an interrupt with the given priority group,
-    preemptive priority value, and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
-
-    \param [in]     PriorityGroup  Used priority group.
-    \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
-    \param [in]       SubPriority  Subpriority value (starting from 0).
-    \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
+/**
+  \brief   Encode Priority
+  \details Encodes the priority for an interrupt with the given priority group,
+           preemptive priority value, and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]     PriorityGroup  Used priority group.
+  \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
+  \param [in]       SubPriority  Subpriority value (starting from 0).
+  \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
  */
 __STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
 {
@@ -1688,19 +1876,18 @@ __STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t P
 }
 
 
-/** \brief  Decode Priority
-
-    The function decodes an interrupt priority value with a given priority group to
-    preemptive priority value and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
-
-    \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
-    \param [in]     PriorityGroup  Used priority group.
-    \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
-    \param [out]     pSubPriority  Subpriority value (starting from 0).
+/**
+  \brief   Decode Priority
+  \details Decodes an interrupt priority value with a given priority group to
+           preemptive priority value and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
+  \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
+  \param [in]     PriorityGroup  Used priority group.
+  \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
+  \param [out]     pSubPriority  Subpriority value (starting from 0).
  */
-__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* pPreemptPriority, uint32_t* pSubPriority)
+__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority)
 {
   uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
   uint32_t PreemptPriorityBits;
@@ -1714,11 +1901,42 @@ __STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGr
 }
 
 
-/** \brief  System Reset
+/**
+  \brief   Set Interrupt Vector
+  \details Sets an interrupt vector in SRAM based interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+           VTOR must been relocated to SRAM before.
+  \param [in]   IRQn      Interrupt number
+  \param [in]   vector    Address of interrupt handler function
+ */
+__STATIC_INLINE void __NVIC_SetVector(IRQn_Type IRQn, uint32_t vector)
+{
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+  vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET] = vector;
+}
+
 
-    The function initiates a system reset request to reset the MCU.
+/**
+  \brief   Get Interrupt Vector
+  \details Reads an interrupt vector from interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn      Interrupt number.
+  \return                 Address of interrupt handler function
+ */
+__STATIC_INLINE uint32_t __NVIC_GetVector(IRQn_Type IRQn)
+{
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+  return vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET];
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
  */
-__STATIC_INLINE void NVIC_SystemReset(void)
+__NO_RETURN __STATIC_INLINE void __NVIC_SystemReset(void)
 {
   __DSB();                                                          /* Ensure all outstanding memory accesses included
                                                                        buffered write are completed before reset */
@@ -1726,40 +1944,87 @@ __STATIC_INLINE void NVIC_SystemReset(void)
                            (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) |
                             SCB_AIRCR_SYSRESETREQ_Msk    );         /* Keep priority group unchanged */
   __DSB();                                                          /* Ensure completion of memory access */
-  while(1) { __NOP(); }                                             /* wait until reset */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
 }
 
 /*@} end of CMSIS_Core_NVICFunctions */
 
+/* ##########################  MPU functions  #################################### */
 
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
 
-/* ##################################    SysTick function  ############################################ */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
-    \brief      Functions that configure the System.
+#include "mpu_armv7.h"
+
+#endif
+
+
+/* ##########################  FPU functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_FpuFunctions FPU Functions
+  \brief    Function that provides FPU type.
   @{
  */
 
-#if (__Vendor_SysTickConfig == 0)
+/**
+  \brief   get FPU type
+  \details returns the FPU type
+  \returns
+   - \b  0: No FPU
+   - \b  1: Single precision FPU
+   - \b  2: Double + Single precision FPU
+ */
+__STATIC_INLINE uint32_t SCB_GetFPUType(void)
+{
+  uint32_t mvfr0;
+
+  mvfr0 = FPU->MVFR0;
+  if      ((mvfr0 & (FPU_MVFR0_Single_precision_Msk | FPU_MVFR0_Double_precision_Msk)) == 0x020U)
+  {
+    return 1U;           /* Single precision FPU */
+  }
+  else
+  {
+    return 0U;           /* No FPU */
+  }
+}
+
 
-/** \brief  System Tick Configuration
+/*@} end of CMSIS_Core_FpuFunctions */
 
-    The function initializes the System Timer and its interrupt, and starts the System Tick Timer.
-    Counter is in free running mode to generate periodic interrupts.
 
-    \param [in]  ticks  Number of ticks between two interrupts.
 
-    \return          0  Function succeeded.
-    \return          1  Function failed.
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
 
-    \note     When the variable __Vendor_SysTickConfig is set to 1, then the
-    function SysTick_Config is not included. In this case, the file device.h
-    must contain a vendor-specific implementation of this function.
+#if defined (__Vendor_SysTickConfig) && (__Vendor_SysTickConfig == 0U)
 
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable __Vendor_SysTickConfig is set to 1, then the
+           function SysTick_Config is not included. In this case, the file device.h
+           must contain a vendor-specific implementation of this function.
  */
 __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 {
-  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk) { return (1UL); }    /* Reload value impossible */
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
 
   SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
   NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
@@ -1777,49 +2042,52 @@ __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 
 
 /* ##################################### Debug In/Output function ########################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_core_DebugFunctions ITM Functions
-    \brief   Functions that access the ITM debug interface.
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_core_DebugFunctions ITM Functions
+  \brief    Functions that access the ITM debug interface.
   @{
  */
 
-extern volatile int32_t ITM_RxBuffer;                    /*!< External variable to receive characters.                         */
-#define                 ITM_RXBUFFER_EMPTY    0x5AA55AA5 /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
-
-
-/** \brief  ITM Send Character
+extern volatile int32_t ITM_RxBuffer;                              /*!< External variable to receive characters. */
+#define                 ITM_RXBUFFER_EMPTY  ((int32_t)0x5AA55AA5U) /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
 
-    The function transmits a character via the ITM channel 0, and
-    \li Just returns when no debugger is connected that has booked the output.
-    \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
 
-    \param [in]     ch  Character to transmit.
-
-    \returns            Character to transmit.
+/**
+  \brief   ITM Send Character
+  \details Transmits a character via the ITM channel 0, and
+           \li Just returns when no debugger is connected that has booked the output.
+           \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
+  \param [in]     ch  Character to transmit.
+  \returns            Character to transmit.
  */
 __STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch)
 {
   if (((ITM->TCR & ITM_TCR_ITMENA_Msk) != 0UL) &&      /* ITM enabled */
       ((ITM->TER & 1UL               ) != 0UL)   )     /* ITM Port #0 enabled */
   {
-    while (ITM->PORT[0].u32 == 0UL) { __NOP(); }
-    ITM->PORT[0].u8 = (uint8_t)ch;
+    while (ITM->PORT[0U].u32 == 0UL)
+    {
+      __NOP();
+    }
+    ITM->PORT[0U].u8 = (uint8_t)ch;
   }
   return (ch);
 }
 
 
-/** \brief  ITM Receive Character
-
-    The function inputs a character via the external variable \ref ITM_RxBuffer.
-
-    \return             Received character.
-    \return         -1  No character pending.
+/**
+  \brief   ITM Receive Character
+  \details Inputs a character via the external variable \ref ITM_RxBuffer.
+  \return             Received character.
+  \return         -1  No character pending.
  */
-__STATIC_INLINE int32_t ITM_ReceiveChar (void) {
+__STATIC_INLINE int32_t ITM_ReceiveChar (void)
+{
   int32_t ch = -1;                           /* no character available */
 
-  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY) {
+  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY)
+  {
     ch = ITM_RxBuffer;
     ITM_RxBuffer = ITM_RXBUFFER_EMPTY;       /* ready for next character */
   }
@@ -1828,19 +2096,22 @@ __STATIC_INLINE int32_t ITM_ReceiveChar (void) {
 }
 
 
-/** \brief  ITM Check Character
-
-    The function checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
-
-    \return          0  No character available.
-    \return          1  Character available.
+/**
+  \brief   ITM Check Character
+  \details Checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
+  \return          0  No character available.
+  \return          1  Character available.
  */
-__STATIC_INLINE int32_t ITM_CheckChar (void) {
+__STATIC_INLINE int32_t ITM_CheckChar (void)
+{
 
-  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY) {
-    return (0);                                 /* no character available */
-  } else {
-    return (1);                                 /*    character available */
+  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY)
+  {
+    return (0);                              /* no character available */
+  }
+  else
+  {
+    return (1);                              /*    character available */
   }
 }
 
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm7.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm7.h
index 842e323f..a14dc623 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm7.h
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cm7.h
@@ -1,52 +1,44 @@
 /**************************************************************************//**
  * @file     core_cm7.h
  * @brief    CMSIS Cortex-M7 Core Peripheral Access Layer Header File
- * @version  V4.10
- * @date     18. March 2015
+ * @version  V5.0.8
+ * @date     04. June 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
  *
- * @note
+ * SPDX-License-Identifier: Apache-2.0
  *
- ******************************************************************************/
-/* Copyright (c) 2009 - 2015 ARM LIMITED
-
-   All rights reserved.
-   Redistribution and use in source and binary forms, with or without
-   modification, are permitted provided that the following conditions are met:
-   - Redistributions of source code must retain the above copyright
-     notice, this list of conditions and the following disclaimer.
-   - Redistributions in binary form must reproduce the above copyright
-     notice, this list of conditions and the following disclaimer in the
-     documentation and/or other materials provided with the distribution.
-   - Neither the name of ARM nor the names of its contributors may be used
-     to endorse or promote products derived from this software without
-     specific prior written permission.
-   *
-   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
-   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-   POSSIBILITY OF SUCH DAMAGE.
-   ---------------------------------------------------------------------------*/
-
-
-#if defined ( __ICCARM__ )
- #pragma system_include  /* treat file as system include file for MISRA check */
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if   defined ( __ICCARM__ )
+  #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined (__clang__)
+  #pragma clang system_header   /* treat file as system include file */
 #endif
 
 #ifndef __CORE_CM7_H_GENERIC
 #define __CORE_CM7_H_GENERIC
 
+#include 
+
 #ifdef __cplusplus
  extern "C" {
 #endif
 
-/** \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
   CMSIS violates the following MISRA-C:2004 rules:
 
    \li Required Rule 8.5, object/function definition in header file.

@@ -63,131 +55,112 @@
 /*******************************************************************************
  *                 CMSIS definitions
  ******************************************************************************/
-/** \ingroup Cortex_M7
+/**
+  \ingroup Cortex_M7
   @{
  */
 
-/*  CMSIS CM7 definitions */
-#define __CM7_CMSIS_VERSION_MAIN  (0x04)                                   /*!< [31:16] CMSIS HAL main version   */
-#define __CM7_CMSIS_VERSION_SUB   (0x00)                                   /*!< [15:0]  CMSIS HAL sub version    */
-#define __CM7_CMSIS_VERSION       ((__CM7_CMSIS_VERSION_MAIN << 16) | \
-                                    __CM7_CMSIS_VERSION_SUB          )     /*!< CMSIS HAL version number         */
-
-#define __CORTEX_M                (0x07)                                   /*!< Cortex-M Core                    */
-
-
-#if   defined ( __CC_ARM )
-  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler          */
-  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler       */
-  #define __STATIC_INLINE  static __inline
-
-#elif defined ( __GNUC__ )
-  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __ICCARM__ )
-  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TMS470__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler       */
-  #define __STATIC_INLINE  static inline
+#include "cmsis_version.h"
 
-#elif defined ( __TASKING__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler      */
-  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler   */
-  #define __STATIC_INLINE  static inline
+/* CMSIS CM7 definitions */
+#define __CM7_CMSIS_VERSION_MAIN  (__CM_CMSIS_VERSION_MAIN)                  /*!< \deprecated [31:16] CMSIS HAL main version */
+#define __CM7_CMSIS_VERSION_SUB   ( __CM_CMSIS_VERSION_SUB)                  /*!< \deprecated [15:0]  CMSIS HAL sub version */
+#define __CM7_CMSIS_VERSION       ((__CM7_CMSIS_VERSION_MAIN << 16U) | \
+                                    __CM7_CMSIS_VERSION_SUB           )      /*!< \deprecated CMSIS HAL version number */
 
-#elif defined ( __CSMC__ )
-  #define __packed
-  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler      */
-  #define __INLINE         inline                                    /*use -pc99 on compile line !< inline keyword for COSMIC Compiler   */
-  #define __STATIC_INLINE  static inline
-
-#endif
+#define __CORTEX_M                (7U)                                       /*!< Cortex-M Core */
 
 /** __FPU_USED indicates whether an FPU is used or not.
     For this, __FPU_PRESENT has to be checked prior to making use of FPU specific registers and functions.
 */
 #if defined ( __CC_ARM )
   #if defined __TARGET_FPU_VFP
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
       #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
 
 #elif defined ( __GNUC__ )
   #if defined (__VFP_FP__) && !defined(__SOFTFP__)
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
-      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
 
 #elif defined ( __ICCARM__ )
   #if defined __ARMVFP__
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
-      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
 
-#elif defined ( __TMS470__ )
+#elif defined ( __TI_ARM__ )
   #if defined __TI_VFP_SUPPORT__
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
-      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
 
 #elif defined ( __TASKING__ )
   #if defined __FPU_VFP__
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
       #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
 
-#elif defined ( __CSMC__ )		/* Cosmic */
-  #if ( __CSMC__ & 0x400)		// FPU present for parser
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
+    #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
     #else
       #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
+      #define __FPU_USED       0U
     #endif
   #else
-    #define __FPU_USED         0
+    #define __FPU_USED         0U
   #endif
+
 #endif
 
-#include                       /* standard types definitions                      */
-#include                 /* Core Instruction Access                         */
-#include                  /* Core Function Access                            */
-#include                  /* Compiler specific SIMD Intrinsics               */
+#include "cmsis_compiler.h"               /* CMSIS compiler specific defines */
+
 
 #ifdef __cplusplus
 }
@@ -207,42 +180,42 @@
 /* check device defines and use defaults */
 #if defined __CHECK_DEVICE_DEFINES
   #ifndef __CM7_REV
-    #define __CM7_REV               0x0000
+    #define __CM7_REV               0x0000U
     #warning "__CM7_REV not defined in device header file; using default!"
   #endif
 
   #ifndef __FPU_PRESENT
-    #define __FPU_PRESENT             0
+    #define __FPU_PRESENT             0U
     #warning "__FPU_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __MPU_PRESENT
-    #define __MPU_PRESENT             0
+    #define __MPU_PRESENT             0U
     #warning "__MPU_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __ICACHE_PRESENT
-    #define __ICACHE_PRESENT          0
+    #define __ICACHE_PRESENT          0U
     #warning "__ICACHE_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __DCACHE_PRESENT
-    #define __DCACHE_PRESENT          0
+    #define __DCACHE_PRESENT          0U
     #warning "__DCACHE_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __DTCM_PRESENT
-    #define __DTCM_PRESENT            0
+    #define __DTCM_PRESENT            0U
     #warning "__DTCM_PRESENT        not defined in device header file; using default!"
   #endif
 
   #ifndef __NVIC_PRIO_BITS
-    #define __NVIC_PRIO_BITS          3
+    #define __NVIC_PRIO_BITS          3U
     #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
   #endif
 
   #ifndef __Vendor_SysTickConfig
-    #define __Vendor_SysTickConfig    0
+    #define __Vendor_SysTickConfig    0U
     #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
   #endif
 #endif
@@ -256,12 +229,17 @@
     \li for automatic generation of peripheral register debug information.
 */
 #ifdef __cplusplus
-  #define   __I     volatile             /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
 #else
-  #define   __I     volatile const       /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
 #endif
-#define     __O     volatile             /*!< Defines 'write only' permissions                */
-#define     __IO    volatile             /*!< Defines 'read / write' permissions              */
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
 
 /*@} end of group Cortex_M7 */
 
@@ -278,1392 +256,1534 @@
   - Core MPU Register
   - Core FPU Register
  ******************************************************************************/
-/** \defgroup CMSIS_core_register Defines and Type Definitions
-    \brief Type definitions and defines for Cortex-M processor based devices.
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
 */
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_CORE  Status and Control Registers
-    \brief  Core Register type definitions.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
   @{
  */
 
-/** \brief  Union type to access the Application Program Status Register (APSR).
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t _reserved0:16;              /*!< bit:  0..15  Reserved                           */
-    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags        */
-    uint32_t _reserved1:7;               /*!< bit: 20..26  Reserved                           */
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t _reserved0:16;              /*!< bit:  0..15  Reserved */
+    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags */
+    uint32_t _reserved1:7;               /*!< bit: 20..26  Reserved */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } APSR_Type;
 
 /* APSR Register Definitions */
-#define APSR_N_Pos                         31                                             /*!< APSR: N Position */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
 #define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
 
-#define APSR_Z_Pos                         30                                             /*!< APSR: Z Position */
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
 #define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
 
-#define APSR_C_Pos                         29                                             /*!< APSR: C Position */
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
 #define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
 
-#define APSR_V_Pos                         28                                             /*!< APSR: V Position */
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
 #define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
 
-#define APSR_Q_Pos                         27                                             /*!< APSR: Q Position */
+#define APSR_Q_Pos                         27U                                            /*!< APSR: Q Position */
 #define APSR_Q_Msk                         (1UL << APSR_Q_Pos)                            /*!< APSR: Q Mask */
 
-#define APSR_GE_Pos                        16                                             /*!< APSR: GE Position */
+#define APSR_GE_Pos                        16U                                            /*!< APSR: GE Position */
 #define APSR_GE_Msk                        (0xFUL << APSR_GE_Pos)                         /*!< APSR: GE Mask */
 
 
-/** \brief  Union type to access the Interrupt Program Status Register (IPSR).
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } IPSR_Type;
 
 /* IPSR Register Definitions */
-#define IPSR_ISR_Pos                        0                                             /*!< IPSR: ISR Position */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
 #define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:7;               /*!< bit:  9..15  Reserved                           */
-    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags        */
-    uint32_t _reserved1:4;               /*!< bit: 20..23  Reserved                           */
-    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0)          */
-    uint32_t IT:2;                       /*!< bit: 25..26  saved IT state   (read 0)          */
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:1;               /*!< bit:      9  Reserved */
+    uint32_t ICI_IT_1:6;                 /*!< bit: 10..15  ICI/IT part 1 */
+    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags */
+    uint32_t _reserved1:4;               /*!< bit: 20..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit */
+    uint32_t ICI_IT_2:2;                 /*!< bit: 25..26  ICI/IT part 2 */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } xPSR_Type;
 
 /* xPSR Register Definitions */
-#define xPSR_N_Pos                         31                                             /*!< xPSR: N Position */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
 #define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
 
-#define xPSR_Z_Pos                         30                                             /*!< xPSR: Z Position */
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
 #define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
 
-#define xPSR_C_Pos                         29                                             /*!< xPSR: C Position */
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
 #define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
 
-#define xPSR_V_Pos                         28                                             /*!< xPSR: V Position */
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
 #define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
 
-#define xPSR_Q_Pos                         27                                             /*!< xPSR: Q Position */
+#define xPSR_Q_Pos                         27U                                            /*!< xPSR: Q Position */
 #define xPSR_Q_Msk                         (1UL << xPSR_Q_Pos)                            /*!< xPSR: Q Mask */
 
-#define xPSR_IT_Pos                        25                                             /*!< xPSR: IT Position */
-#define xPSR_IT_Msk                        (3UL << xPSR_IT_Pos)                           /*!< xPSR: IT Mask */
+#define xPSR_ICI_IT_2_Pos                  25U                                            /*!< xPSR: ICI/IT part 2 Position */
+#define xPSR_ICI_IT_2_Msk                  (3UL << xPSR_ICI_IT_2_Pos)                     /*!< xPSR: ICI/IT part 2 Mask */
 
-#define xPSR_T_Pos                         24                                             /*!< xPSR: T Position */
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
 #define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
 
-#define xPSR_GE_Pos                        16                                             /*!< xPSR: GE Position */
+#define xPSR_GE_Pos                        16U                                            /*!< xPSR: GE Position */
 #define xPSR_GE_Msk                        (0xFUL << xPSR_GE_Pos)                         /*!< xPSR: GE Mask */
 
-#define xPSR_ISR_Pos                        0                                             /*!< xPSR: ISR Position */
+#define xPSR_ICI_IT_1_Pos                  10U                                            /*!< xPSR: ICI/IT part 1 Position */
+#define xPSR_ICI_IT_1_Msk                  (0x3FUL << xPSR_ICI_IT_1_Pos)                  /*!< xPSR: ICI/IT part 1 Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
 #define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Control Registers (CONTROL).
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
  */
 typedef union
 {
   struct
   {
     uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
-    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used                   */
-    uint32_t FPCA:1;                     /*!< bit:      2  FP extension active flag           */
-    uint32_t _reserved0:29;              /*!< bit:  3..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t FPCA:1;                     /*!< bit:      2  FP extension active flag */
+    uint32_t _reserved0:29;              /*!< bit:  3..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } CONTROL_Type;
 
 /* CONTROL Register Definitions */
-#define CONTROL_FPCA_Pos                    2                                             /*!< CONTROL: FPCA Position */
+#define CONTROL_FPCA_Pos                    2U                                            /*!< CONTROL: FPCA Position */
 #define CONTROL_FPCA_Msk                   (1UL << CONTROL_FPCA_Pos)                      /*!< CONTROL: FPCA Mask */
 
-#define CONTROL_SPSEL_Pos                   1                                             /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
 #define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
 
-#define CONTROL_nPRIV_Pos                   0                                             /*!< CONTROL: nPRIV Position */
+#define CONTROL_nPRIV_Pos                   0U                                            /*!< CONTROL: nPRIV Position */
 #define CONTROL_nPRIV_Msk                  (1UL /*<< CONTROL_nPRIV_Pos*/)                 /*!< CONTROL: nPRIV Mask */
 
 /*@} end of group CMSIS_CORE */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
-    \brief      Type definitions for the NVIC Registers
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
   @{
  */
 
-/** \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
  */
 typedef struct
 {
-  __IO uint32_t ISER[8];                 /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register           */
-       uint32_t RESERVED0[24];
-  __IO uint32_t ICER[8];                 /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register         */
-       uint32_t RSERVED1[24];
-  __IO uint32_t ISPR[8];                 /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register          */
-       uint32_t RESERVED2[24];
-  __IO uint32_t ICPR[8];                 /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register        */
-       uint32_t RESERVED3[24];
-  __IO uint32_t IABR[8];                 /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register           */
-       uint32_t RESERVED4[56];
-  __IO uint8_t  IP[240];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
-       uint32_t RESERVED5[644];
-  __O  uint32_t STIR;                    /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register     */
+  __IOM uint32_t ISER[8U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[24U];
+  __IOM uint32_t ICER[8U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[24U];
+  __IOM uint32_t ISPR[8U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[24U];
+  __IOM uint32_t ICPR[8U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[24U];
+  __IOM uint32_t IABR[8U];               /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register */
+        uint32_t RESERVED4[56U];
+  __IOM uint8_t  IP[240U];               /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
+        uint32_t RESERVED5[644U];
+  __OM  uint32_t STIR;                   /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register */
 }  NVIC_Type;
 
 /* Software Triggered Interrupt Register Definitions */
-#define NVIC_STIR_INTID_Pos                 0                                          /*!< STIR: INTLINESNUM Position */
+#define NVIC_STIR_INTID_Pos                 0U                                         /*!< STIR: INTLINESNUM Position */
 #define NVIC_STIR_INTID_Msk                (0x1FFUL /*<< NVIC_STIR_INTID_Pos*/)        /*!< STIR: INTLINESNUM Mask */
 
 /*@} end of group CMSIS_NVIC */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCB     System Control Block (SCB)
-    \brief      Type definitions for the System Control Block Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
   @{
  */
 
-/** \brief  Structure type to access the System Control Block (SCB).
+/**
+  \brief  Structure type to access the System Control Block (SCB).
  */
 typedef struct
 {
-  __I  uint32_t CPUID;                   /*!< Offset: 0x000 (R/ )  CPUID Base Register                                   */
-  __IO uint32_t ICSR;                    /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register                  */
-  __IO uint32_t VTOR;                    /*!< Offset: 0x008 (R/W)  Vector Table Offset Register                          */
-  __IO uint32_t AIRCR;                   /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register      */
-  __IO uint32_t SCR;                     /*!< Offset: 0x010 (R/W)  System Control Register                               */
-  __IO uint32_t CCR;                     /*!< Offset: 0x014 (R/W)  Configuration Control Register                        */
-  __IO uint8_t  SHPR[12];                /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
-  __IO uint32_t SHCSR;                   /*!< Offset: 0x024 (R/W)  System Handler Control and State Register             */
-  __IO uint32_t CFSR;                    /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register                    */
-  __IO uint32_t HFSR;                    /*!< Offset: 0x02C (R/W)  HardFault Status Register                             */
-  __IO uint32_t DFSR;                    /*!< Offset: 0x030 (R/W)  Debug Fault Status Register                           */
-  __IO uint32_t MMFAR;                   /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register                      */
-  __IO uint32_t BFAR;                    /*!< Offset: 0x038 (R/W)  BusFault Address Register                             */
-  __IO uint32_t AFSR;                    /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register                       */
-  __I  uint32_t ID_PFR[2];               /*!< Offset: 0x040 (R/ )  Processor Feature Register                            */
-  __I  uint32_t ID_DFR;                  /*!< Offset: 0x048 (R/ )  Debug Feature Register                                */
-  __I  uint32_t ID_AFR;                  /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register                            */
-  __I  uint32_t ID_MFR[4];               /*!< Offset: 0x050 (R/ )  Memory Model Feature Register                         */
-  __I  uint32_t ID_ISAR[5];              /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register                   */
-       uint32_t RESERVED0[1];
-  __I  uint32_t CLIDR;                   /*!< Offset: 0x078 (R/ )  Cache Level ID register                               */
-  __I  uint32_t CTR;                     /*!< Offset: 0x07C (R/ )  Cache Type register                                   */
-  __I  uint32_t CCSIDR;                  /*!< Offset: 0x080 (R/ )  Cache Size ID Register                                */
-  __IO uint32_t CSSELR;                  /*!< Offset: 0x084 (R/W)  Cache Size Selection Register                         */
-  __IO uint32_t CPACR;                   /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register                   */
-       uint32_t RESERVED3[93];
-  __O  uint32_t STIR;                    /*!< Offset: 0x200 ( /W)  Software Triggered Interrupt Register                 */
-       uint32_t RESERVED4[15];
-  __I  uint32_t MVFR0;                   /*!< Offset: 0x240 (R/ )  Media and VFP Feature Register 0                      */
-  __I  uint32_t MVFR1;                   /*!< Offset: 0x244 (R/ )  Media and VFP Feature Register 1                      */
-  __I  uint32_t MVFR2;                   /*!< Offset: 0x248 (R/ )  Media and VFP Feature Register 1                      */
-       uint32_t RESERVED5[1];
-  __O  uint32_t ICIALLU;                 /*!< Offset: 0x250 ( /W)  I-Cache Invalidate All to PoU                         */
-       uint32_t RESERVED6[1];
-  __O  uint32_t ICIMVAU;                 /*!< Offset: 0x258 ( /W)  I-Cache Invalidate by MVA to PoU                      */
-  __O  uint32_t DCIMVAC;                 /*!< Offset: 0x25C ( /W)  D-Cache Invalidate by MVA to PoC                      */
-  __O  uint32_t DCISW;                   /*!< Offset: 0x260 ( /W)  D-Cache Invalidate by Set-way                         */
-  __O  uint32_t DCCMVAU;                 /*!< Offset: 0x264 ( /W)  D-Cache Clean by MVA to PoU                           */
-  __O  uint32_t DCCMVAC;                 /*!< Offset: 0x268 ( /W)  D-Cache Clean by MVA to PoC                           */
-  __O  uint32_t DCCSW;                   /*!< Offset: 0x26C ( /W)  D-Cache Clean by Set-way                              */
-  __O  uint32_t DCCIMVAC;                /*!< Offset: 0x270 ( /W)  D-Cache Clean and Invalidate by MVA to PoC            */
-  __O  uint32_t DCCISW;                  /*!< Offset: 0x274 ( /W)  D-Cache Clean and Invalidate by Set-way               */
-       uint32_t RESERVED7[6];
-  __IO uint32_t ITCMCR;                  /*!< Offset: 0x290 (R/W)  Instruction Tightly-Coupled Memory Control Register   */
-  __IO uint32_t DTCMCR;                  /*!< Offset: 0x294 (R/W)  Data Tightly-Coupled Memory Control Registers         */
-  __IO uint32_t AHBPCR;                  /*!< Offset: 0x298 (R/W)  AHBP Control Register                                 */
-  __IO uint32_t CACR;                    /*!< Offset: 0x29C (R/W)  L1 Cache Control Register                             */
-  __IO uint32_t AHBSCR;                  /*!< Offset: 0x2A0 (R/W)  AHB Slave Control Register                            */
-       uint32_t RESERVED8[1];
-  __IO uint32_t ABFSR;                   /*!< Offset: 0x2A8 (R/W)  Auxiliary Bus Fault Status Register                   */
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+  __IOM uint8_t  SHPR[12U];              /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+  __IOM uint32_t CFSR;                   /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register */
+  __IOM uint32_t HFSR;                   /*!< Offset: 0x02C (R/W)  HardFault Status Register */
+  __IOM uint32_t DFSR;                   /*!< Offset: 0x030 (R/W)  Debug Fault Status Register */
+  __IOM uint32_t MMFAR;                  /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register */
+  __IOM uint32_t BFAR;                   /*!< Offset: 0x038 (R/W)  BusFault Address Register */
+  __IOM uint32_t AFSR;                   /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register */
+  __IM  uint32_t ID_PFR[2U];             /*!< Offset: 0x040 (R/ )  Processor Feature Register */
+  __IM  uint32_t ID_DFR;                 /*!< Offset: 0x048 (R/ )  Debug Feature Register */
+  __IM  uint32_t ID_AFR;                 /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register */
+  __IM  uint32_t ID_MFR[4U];             /*!< Offset: 0x050 (R/ )  Memory Model Feature Register */
+  __IM  uint32_t ID_ISAR[5U];            /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register */
+        uint32_t RESERVED0[1U];
+  __IM  uint32_t CLIDR;                  /*!< Offset: 0x078 (R/ )  Cache Level ID register */
+  __IM  uint32_t CTR;                    /*!< Offset: 0x07C (R/ )  Cache Type register */
+  __IM  uint32_t CCSIDR;                 /*!< Offset: 0x080 (R/ )  Cache Size ID Register */
+  __IOM uint32_t CSSELR;                 /*!< Offset: 0x084 (R/W)  Cache Size Selection Register */
+  __IOM uint32_t CPACR;                  /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register */
+        uint32_t RESERVED3[93U];
+  __OM  uint32_t STIR;                   /*!< Offset: 0x200 ( /W)  Software Triggered Interrupt Register */
+        uint32_t RESERVED4[15U];
+  __IM  uint32_t MVFR0;                  /*!< Offset: 0x240 (R/ )  Media and VFP Feature Register 0 */
+  __IM  uint32_t MVFR1;                  /*!< Offset: 0x244 (R/ )  Media and VFP Feature Register 1 */
+  __IM  uint32_t MVFR2;                  /*!< Offset: 0x248 (R/ )  Media and VFP Feature Register 2 */
+        uint32_t RESERVED5[1U];
+  __OM  uint32_t ICIALLU;                /*!< Offset: 0x250 ( /W)  I-Cache Invalidate All to PoU */
+        uint32_t RESERVED6[1U];
+  __OM  uint32_t ICIMVAU;                /*!< Offset: 0x258 ( /W)  I-Cache Invalidate by MVA to PoU */
+  __OM  uint32_t DCIMVAC;                /*!< Offset: 0x25C ( /W)  D-Cache Invalidate by MVA to PoC */
+  __OM  uint32_t DCISW;                  /*!< Offset: 0x260 ( /W)  D-Cache Invalidate by Set-way */
+  __OM  uint32_t DCCMVAU;                /*!< Offset: 0x264 ( /W)  D-Cache Clean by MVA to PoU */
+  __OM  uint32_t DCCMVAC;                /*!< Offset: 0x268 ( /W)  D-Cache Clean by MVA to PoC */
+  __OM  uint32_t DCCSW;                  /*!< Offset: 0x26C ( /W)  D-Cache Clean by Set-way */
+  __OM  uint32_t DCCIMVAC;               /*!< Offset: 0x270 ( /W)  D-Cache Clean and Invalidate by MVA to PoC */
+  __OM  uint32_t DCCISW;                 /*!< Offset: 0x274 ( /W)  D-Cache Clean and Invalidate by Set-way */
+        uint32_t RESERVED7[6U];
+  __IOM uint32_t ITCMCR;                 /*!< Offset: 0x290 (R/W)  Instruction Tightly-Coupled Memory Control Register */
+  __IOM uint32_t DTCMCR;                 /*!< Offset: 0x294 (R/W)  Data Tightly-Coupled Memory Control Registers */
+  __IOM uint32_t AHBPCR;                 /*!< Offset: 0x298 (R/W)  AHBP Control Register */
+  __IOM uint32_t CACR;                   /*!< Offset: 0x29C (R/W)  L1 Cache Control Register */
+  __IOM uint32_t AHBSCR;                 /*!< Offset: 0x2A0 (R/W)  AHB Slave Control Register */
+        uint32_t RESERVED8[1U];
+  __IOM uint32_t ABFSR;                  /*!< Offset: 0x2A8 (R/W)  Auxiliary Bus Fault Status Register */
 } SCB_Type;
 
 /* SCB CPUID Register Definitions */
-#define SCB_CPUID_IMPLEMENTER_Pos          24                                             /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
 #define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
 
-#define SCB_CPUID_VARIANT_Pos              20                                             /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
 #define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
 
-#define SCB_CPUID_ARCHITECTURE_Pos         16                                             /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
 #define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
 
-#define SCB_CPUID_PARTNO_Pos                4                                             /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
 #define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
 
-#define SCB_CPUID_REVISION_Pos              0                                             /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
 #define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
 
 /* SCB Interrupt Control State Register Definitions */
-#define SCB_ICSR_NMIPENDSET_Pos            31                                             /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
 #define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
 
-#define SCB_ICSR_PENDSVSET_Pos             28                                             /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
 #define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
 
-#define SCB_ICSR_PENDSVCLR_Pos             27                                             /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
 #define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
 
-#define SCB_ICSR_PENDSTSET_Pos             26                                             /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
 #define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
 
-#define SCB_ICSR_PENDSTCLR_Pos             25                                             /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
 #define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
 
-#define SCB_ICSR_ISRPREEMPT_Pos            23                                             /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
 #define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
 
-#define SCB_ICSR_ISRPENDING_Pos            22                                             /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
 #define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
 
-#define SCB_ICSR_VECTPENDING_Pos           12                                             /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
 #define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
 
-#define SCB_ICSR_RETTOBASE_Pos             11                                             /*!< SCB ICSR: RETTOBASE Position */
+#define SCB_ICSR_RETTOBASE_Pos             11U                                            /*!< SCB ICSR: RETTOBASE Position */
 #define SCB_ICSR_RETTOBASE_Msk             (1UL << SCB_ICSR_RETTOBASE_Pos)                /*!< SCB ICSR: RETTOBASE Mask */
 
-#define SCB_ICSR_VECTACTIVE_Pos             0                                             /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
 #define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
 
 /* SCB Vector Table Offset Register Definitions */
-#define SCB_VTOR_TBLOFF_Pos                 7                                             /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
 #define SCB_VTOR_TBLOFF_Msk                (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos)           /*!< SCB VTOR: TBLOFF Mask */
 
 /* SCB Application Interrupt and Reset Control Register Definitions */
-#define SCB_AIRCR_VECTKEY_Pos              16                                             /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
 #define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
 
-#define SCB_AIRCR_VECTKEYSTAT_Pos          16                                             /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
 #define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
 
-#define SCB_AIRCR_ENDIANESS_Pos            15                                             /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
 #define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
 
-#define SCB_AIRCR_PRIGROUP_Pos              8                                             /*!< SCB AIRCR: PRIGROUP Position */
+#define SCB_AIRCR_PRIGROUP_Pos              8U                                            /*!< SCB AIRCR: PRIGROUP Position */
 #define SCB_AIRCR_PRIGROUP_Msk             (7UL << SCB_AIRCR_PRIGROUP_Pos)                /*!< SCB AIRCR: PRIGROUP Mask */
 
-#define SCB_AIRCR_SYSRESETREQ_Pos           2                                             /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
 #define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
 
-#define SCB_AIRCR_VECTCLRACTIVE_Pos         1                                             /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
 #define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
 
-#define SCB_AIRCR_VECTRESET_Pos             0                                             /*!< SCB AIRCR: VECTRESET Position */
+#define SCB_AIRCR_VECTRESET_Pos             0U                                            /*!< SCB AIRCR: VECTRESET Position */
 #define SCB_AIRCR_VECTRESET_Msk            (1UL /*<< SCB_AIRCR_VECTRESET_Pos*/)           /*!< SCB AIRCR: VECTRESET Mask */
 
 /* SCB System Control Register Definitions */
-#define SCB_SCR_SEVONPEND_Pos               4                                             /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
 #define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
 
-#define SCB_SCR_SLEEPDEEP_Pos               2                                             /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
 #define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
 
-#define SCB_SCR_SLEEPONEXIT_Pos             1                                             /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
 #define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
 
 /* SCB Configuration Control Register Definitions */
-#define SCB_CCR_BP_Pos                      18                                            /*!< SCB CCR: Branch prediction enable bit Position */
+#define SCB_CCR_BP_Pos                      18U                                           /*!< SCB CCR: Branch prediction enable bit Position */
 #define SCB_CCR_BP_Msk                     (1UL << SCB_CCR_BP_Pos)                        /*!< SCB CCR: Branch prediction enable bit Mask */
 
-#define SCB_CCR_IC_Pos                      17                                            /*!< SCB CCR: Instruction cache enable bit Position */
+#define SCB_CCR_IC_Pos                      17U                                           /*!< SCB CCR: Instruction cache enable bit Position */
 #define SCB_CCR_IC_Msk                     (1UL << SCB_CCR_IC_Pos)                        /*!< SCB CCR: Instruction cache enable bit Mask */
 
-#define SCB_CCR_DC_Pos                      16                                            /*!< SCB CCR: Cache enable bit Position */
+#define SCB_CCR_DC_Pos                      16U                                           /*!< SCB CCR: Cache enable bit Position */
 #define SCB_CCR_DC_Msk                     (1UL << SCB_CCR_DC_Pos)                        /*!< SCB CCR: Cache enable bit Mask */
 
-#define SCB_CCR_STKALIGN_Pos                9                                             /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
 #define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
 
-#define SCB_CCR_BFHFNMIGN_Pos               8                                             /*!< SCB CCR: BFHFNMIGN Position */
+#define SCB_CCR_BFHFNMIGN_Pos               8U                                            /*!< SCB CCR: BFHFNMIGN Position */
 #define SCB_CCR_BFHFNMIGN_Msk              (1UL << SCB_CCR_BFHFNMIGN_Pos)                 /*!< SCB CCR: BFHFNMIGN Mask */
 
-#define SCB_CCR_DIV_0_TRP_Pos               4                                             /*!< SCB CCR: DIV_0_TRP Position */
+#define SCB_CCR_DIV_0_TRP_Pos               4U                                            /*!< SCB CCR: DIV_0_TRP Position */
 #define SCB_CCR_DIV_0_TRP_Msk              (1UL << SCB_CCR_DIV_0_TRP_Pos)                 /*!< SCB CCR: DIV_0_TRP Mask */
 
-#define SCB_CCR_UNALIGN_TRP_Pos             3                                             /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
 #define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
 
-#define SCB_CCR_USERSETMPEND_Pos            1                                             /*!< SCB CCR: USERSETMPEND Position */
+#define SCB_CCR_USERSETMPEND_Pos            1U                                            /*!< SCB CCR: USERSETMPEND Position */
 #define SCB_CCR_USERSETMPEND_Msk           (1UL << SCB_CCR_USERSETMPEND_Pos)              /*!< SCB CCR: USERSETMPEND Mask */
 
-#define SCB_CCR_NONBASETHRDENA_Pos          0                                             /*!< SCB CCR: NONBASETHRDENA Position */
+#define SCB_CCR_NONBASETHRDENA_Pos          0U                                            /*!< SCB CCR: NONBASETHRDENA Position */
 #define SCB_CCR_NONBASETHRDENA_Msk         (1UL /*<< SCB_CCR_NONBASETHRDENA_Pos*/)        /*!< SCB CCR: NONBASETHRDENA Mask */
 
 /* SCB System Handler Control and State Register Definitions */
-#define SCB_SHCSR_USGFAULTENA_Pos          18                                             /*!< SCB SHCSR: USGFAULTENA Position */
+#define SCB_SHCSR_USGFAULTENA_Pos          18U                                            /*!< SCB SHCSR: USGFAULTENA Position */
 #define SCB_SHCSR_USGFAULTENA_Msk          (1UL << SCB_SHCSR_USGFAULTENA_Pos)             /*!< SCB SHCSR: USGFAULTENA Mask */
 
-#define SCB_SHCSR_BUSFAULTENA_Pos          17                                             /*!< SCB SHCSR: BUSFAULTENA Position */
+#define SCB_SHCSR_BUSFAULTENA_Pos          17U                                            /*!< SCB SHCSR: BUSFAULTENA Position */
 #define SCB_SHCSR_BUSFAULTENA_Msk          (1UL << SCB_SHCSR_BUSFAULTENA_Pos)             /*!< SCB SHCSR: BUSFAULTENA Mask */
 
-#define SCB_SHCSR_MEMFAULTENA_Pos          16                                             /*!< SCB SHCSR: MEMFAULTENA Position */
+#define SCB_SHCSR_MEMFAULTENA_Pos          16U                                            /*!< SCB SHCSR: MEMFAULTENA Position */
 #define SCB_SHCSR_MEMFAULTENA_Msk          (1UL << SCB_SHCSR_MEMFAULTENA_Pos)             /*!< SCB SHCSR: MEMFAULTENA Mask */
 
-#define SCB_SHCSR_SVCALLPENDED_Pos         15                                             /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
 #define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
 
-#define SCB_SHCSR_BUSFAULTPENDED_Pos       14                                             /*!< SCB SHCSR: BUSFAULTPENDED Position */
+#define SCB_SHCSR_BUSFAULTPENDED_Pos       14U                                            /*!< SCB SHCSR: BUSFAULTPENDED Position */
 #define SCB_SHCSR_BUSFAULTPENDED_Msk       (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos)          /*!< SCB SHCSR: BUSFAULTPENDED Mask */
 
-#define SCB_SHCSR_MEMFAULTPENDED_Pos       13                                             /*!< SCB SHCSR: MEMFAULTPENDED Position */
+#define SCB_SHCSR_MEMFAULTPENDED_Pos       13U                                            /*!< SCB SHCSR: MEMFAULTPENDED Position */
 #define SCB_SHCSR_MEMFAULTPENDED_Msk       (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos)          /*!< SCB SHCSR: MEMFAULTPENDED Mask */
 
-#define SCB_SHCSR_USGFAULTPENDED_Pos       12                                             /*!< SCB SHCSR: USGFAULTPENDED Position */
+#define SCB_SHCSR_USGFAULTPENDED_Pos       12U                                            /*!< SCB SHCSR: USGFAULTPENDED Position */
 #define SCB_SHCSR_USGFAULTPENDED_Msk       (1UL << SCB_SHCSR_USGFAULTPENDED_Pos)          /*!< SCB SHCSR: USGFAULTPENDED Mask */
 
-#define SCB_SHCSR_SYSTICKACT_Pos           11                                             /*!< SCB SHCSR: SYSTICKACT Position */
+#define SCB_SHCSR_SYSTICKACT_Pos           11U                                            /*!< SCB SHCSR: SYSTICKACT Position */
 #define SCB_SHCSR_SYSTICKACT_Msk           (1UL << SCB_SHCSR_SYSTICKACT_Pos)              /*!< SCB SHCSR: SYSTICKACT Mask */
 
-#define SCB_SHCSR_PENDSVACT_Pos            10                                             /*!< SCB SHCSR: PENDSVACT Position */
+#define SCB_SHCSR_PENDSVACT_Pos            10U                                            /*!< SCB SHCSR: PENDSVACT Position */
 #define SCB_SHCSR_PENDSVACT_Msk            (1UL << SCB_SHCSR_PENDSVACT_Pos)               /*!< SCB SHCSR: PENDSVACT Mask */
 
-#define SCB_SHCSR_MONITORACT_Pos            8                                             /*!< SCB SHCSR: MONITORACT Position */
+#define SCB_SHCSR_MONITORACT_Pos            8U                                            /*!< SCB SHCSR: MONITORACT Position */
 #define SCB_SHCSR_MONITORACT_Msk           (1UL << SCB_SHCSR_MONITORACT_Pos)              /*!< SCB SHCSR: MONITORACT Mask */
 
-#define SCB_SHCSR_SVCALLACT_Pos             7                                             /*!< SCB SHCSR: SVCALLACT Position */
+#define SCB_SHCSR_SVCALLACT_Pos             7U                                            /*!< SCB SHCSR: SVCALLACT Position */
 #define SCB_SHCSR_SVCALLACT_Msk            (1UL << SCB_SHCSR_SVCALLACT_Pos)               /*!< SCB SHCSR: SVCALLACT Mask */
 
-#define SCB_SHCSR_USGFAULTACT_Pos           3                                             /*!< SCB SHCSR: USGFAULTACT Position */
+#define SCB_SHCSR_USGFAULTACT_Pos           3U                                            /*!< SCB SHCSR: USGFAULTACT Position */
 #define SCB_SHCSR_USGFAULTACT_Msk          (1UL << SCB_SHCSR_USGFAULTACT_Pos)             /*!< SCB SHCSR: USGFAULTACT Mask */
 
-#define SCB_SHCSR_BUSFAULTACT_Pos           1                                             /*!< SCB SHCSR: BUSFAULTACT Position */
+#define SCB_SHCSR_BUSFAULTACT_Pos           1U                                            /*!< SCB SHCSR: BUSFAULTACT Position */
 #define SCB_SHCSR_BUSFAULTACT_Msk          (1UL << SCB_SHCSR_BUSFAULTACT_Pos)             /*!< SCB SHCSR: BUSFAULTACT Mask */
 
-#define SCB_SHCSR_MEMFAULTACT_Pos           0                                             /*!< SCB SHCSR: MEMFAULTACT Position */
+#define SCB_SHCSR_MEMFAULTACT_Pos           0U                                            /*!< SCB SHCSR: MEMFAULTACT Position */
 #define SCB_SHCSR_MEMFAULTACT_Msk          (1UL /*<< SCB_SHCSR_MEMFAULTACT_Pos*/)         /*!< SCB SHCSR: MEMFAULTACT Mask */
 
-/* SCB Configurable Fault Status Registers Definitions */
-#define SCB_CFSR_USGFAULTSR_Pos            16                                             /*!< SCB CFSR: Usage Fault Status Register Position */
+/* SCB Configurable Fault Status Register Definitions */
+#define SCB_CFSR_USGFAULTSR_Pos            16U                                            /*!< SCB CFSR: Usage Fault Status Register Position */
 #define SCB_CFSR_USGFAULTSR_Msk            (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos)          /*!< SCB CFSR: Usage Fault Status Register Mask */
 
-#define SCB_CFSR_BUSFAULTSR_Pos             8                                             /*!< SCB CFSR: Bus Fault Status Register Position */
+#define SCB_CFSR_BUSFAULTSR_Pos             8U                                            /*!< SCB CFSR: Bus Fault Status Register Position */
 #define SCB_CFSR_BUSFAULTSR_Msk            (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos)            /*!< SCB CFSR: Bus Fault Status Register Mask */
 
-#define SCB_CFSR_MEMFAULTSR_Pos             0                                             /*!< SCB CFSR: Memory Manage Fault Status Register Position */
+#define SCB_CFSR_MEMFAULTSR_Pos             0U                                            /*!< SCB CFSR: Memory Manage Fault Status Register Position */
 #define SCB_CFSR_MEMFAULTSR_Msk            (0xFFUL /*<< SCB_CFSR_MEMFAULTSR_Pos*/)        /*!< SCB CFSR: Memory Manage Fault Status Register Mask */
 
-/* SCB Hard Fault Status Registers Definitions */
-#define SCB_HFSR_DEBUGEVT_Pos              31                                             /*!< SCB HFSR: DEBUGEVT Position */
+/* MemManage Fault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_MMARVALID_Pos             (SCB_SHCSR_MEMFAULTACT_Pos + 7U)               /*!< SCB CFSR (MMFSR): MMARVALID Position */
+#define SCB_CFSR_MMARVALID_Msk             (1UL << SCB_CFSR_MMARVALID_Pos)                /*!< SCB CFSR (MMFSR): MMARVALID Mask */
+
+#define SCB_CFSR_MLSPERR_Pos               (SCB_SHCSR_MEMFAULTACT_Pos + 5U)               /*!< SCB CFSR (MMFSR): MLSPERR Position */
+#define SCB_CFSR_MLSPERR_Msk               (1UL << SCB_CFSR_MLSPERR_Pos)                  /*!< SCB CFSR (MMFSR): MLSPERR Mask */
+
+#define SCB_CFSR_MSTKERR_Pos               (SCB_SHCSR_MEMFAULTACT_Pos + 4U)               /*!< SCB CFSR (MMFSR): MSTKERR Position */
+#define SCB_CFSR_MSTKERR_Msk               (1UL << SCB_CFSR_MSTKERR_Pos)                  /*!< SCB CFSR (MMFSR): MSTKERR Mask */
+
+#define SCB_CFSR_MUNSTKERR_Pos             (SCB_SHCSR_MEMFAULTACT_Pos + 3U)               /*!< SCB CFSR (MMFSR): MUNSTKERR Position */
+#define SCB_CFSR_MUNSTKERR_Msk             (1UL << SCB_CFSR_MUNSTKERR_Pos)                /*!< SCB CFSR (MMFSR): MUNSTKERR Mask */
+
+#define SCB_CFSR_DACCVIOL_Pos              (SCB_SHCSR_MEMFAULTACT_Pos + 1U)               /*!< SCB CFSR (MMFSR): DACCVIOL Position */
+#define SCB_CFSR_DACCVIOL_Msk              (1UL << SCB_CFSR_DACCVIOL_Pos)                 /*!< SCB CFSR (MMFSR): DACCVIOL Mask */
+
+#define SCB_CFSR_IACCVIOL_Pos              (SCB_SHCSR_MEMFAULTACT_Pos + 0U)               /*!< SCB CFSR (MMFSR): IACCVIOL Position */
+#define SCB_CFSR_IACCVIOL_Msk              (1UL /*<< SCB_CFSR_IACCVIOL_Pos*/)             /*!< SCB CFSR (MMFSR): IACCVIOL Mask */
+
+/* BusFault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_BFARVALID_Pos            (SCB_CFSR_BUSFAULTSR_Pos + 7U)                  /*!< SCB CFSR (BFSR): BFARVALID Position */
+#define SCB_CFSR_BFARVALID_Msk            (1UL << SCB_CFSR_BFARVALID_Pos)                 /*!< SCB CFSR (BFSR): BFARVALID Mask */
+
+#define SCB_CFSR_LSPERR_Pos               (SCB_CFSR_BUSFAULTSR_Pos + 5U)                  /*!< SCB CFSR (BFSR): LSPERR Position */
+#define SCB_CFSR_LSPERR_Msk               (1UL << SCB_CFSR_LSPERR_Pos)                    /*!< SCB CFSR (BFSR): LSPERR Mask */
+
+#define SCB_CFSR_STKERR_Pos               (SCB_CFSR_BUSFAULTSR_Pos + 4U)                  /*!< SCB CFSR (BFSR): STKERR Position */
+#define SCB_CFSR_STKERR_Msk               (1UL << SCB_CFSR_STKERR_Pos)                    /*!< SCB CFSR (BFSR): STKERR Mask */
+
+#define SCB_CFSR_UNSTKERR_Pos             (SCB_CFSR_BUSFAULTSR_Pos + 3U)                  /*!< SCB CFSR (BFSR): UNSTKERR Position */
+#define SCB_CFSR_UNSTKERR_Msk             (1UL << SCB_CFSR_UNSTKERR_Pos)                  /*!< SCB CFSR (BFSR): UNSTKERR Mask */
+
+#define SCB_CFSR_IMPRECISERR_Pos          (SCB_CFSR_BUSFAULTSR_Pos + 2U)                  /*!< SCB CFSR (BFSR): IMPRECISERR Position */
+#define SCB_CFSR_IMPRECISERR_Msk          (1UL << SCB_CFSR_IMPRECISERR_Pos)               /*!< SCB CFSR (BFSR): IMPRECISERR Mask */
+
+#define SCB_CFSR_PRECISERR_Pos            (SCB_CFSR_BUSFAULTSR_Pos + 1U)                  /*!< SCB CFSR (BFSR): PRECISERR Position */
+#define SCB_CFSR_PRECISERR_Msk            (1UL << SCB_CFSR_PRECISERR_Pos)                 /*!< SCB CFSR (BFSR): PRECISERR Mask */
+
+#define SCB_CFSR_IBUSERR_Pos              (SCB_CFSR_BUSFAULTSR_Pos + 0U)                  /*!< SCB CFSR (BFSR): IBUSERR Position */
+#define SCB_CFSR_IBUSERR_Msk              (1UL << SCB_CFSR_IBUSERR_Pos)                   /*!< SCB CFSR (BFSR): IBUSERR Mask */
+
+/* UsageFault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_DIVBYZERO_Pos            (SCB_CFSR_USGFAULTSR_Pos + 9U)                  /*!< SCB CFSR (UFSR): DIVBYZERO Position */
+#define SCB_CFSR_DIVBYZERO_Msk            (1UL << SCB_CFSR_DIVBYZERO_Pos)                 /*!< SCB CFSR (UFSR): DIVBYZERO Mask */
+
+#define SCB_CFSR_UNALIGNED_Pos            (SCB_CFSR_USGFAULTSR_Pos + 8U)                  /*!< SCB CFSR (UFSR): UNALIGNED Position */
+#define SCB_CFSR_UNALIGNED_Msk            (1UL << SCB_CFSR_UNALIGNED_Pos)                 /*!< SCB CFSR (UFSR): UNALIGNED Mask */
+
+#define SCB_CFSR_NOCP_Pos                 (SCB_CFSR_USGFAULTSR_Pos + 3U)                  /*!< SCB CFSR (UFSR): NOCP Position */
+#define SCB_CFSR_NOCP_Msk                 (1UL << SCB_CFSR_NOCP_Pos)                      /*!< SCB CFSR (UFSR): NOCP Mask */
+
+#define SCB_CFSR_INVPC_Pos                (SCB_CFSR_USGFAULTSR_Pos + 2U)                  /*!< SCB CFSR (UFSR): INVPC Position */
+#define SCB_CFSR_INVPC_Msk                (1UL << SCB_CFSR_INVPC_Pos)                     /*!< SCB CFSR (UFSR): INVPC Mask */
+
+#define SCB_CFSR_INVSTATE_Pos             (SCB_CFSR_USGFAULTSR_Pos + 1U)                  /*!< SCB CFSR (UFSR): INVSTATE Position */
+#define SCB_CFSR_INVSTATE_Msk             (1UL << SCB_CFSR_INVSTATE_Pos)                  /*!< SCB CFSR (UFSR): INVSTATE Mask */
+
+#define SCB_CFSR_UNDEFINSTR_Pos           (SCB_CFSR_USGFAULTSR_Pos + 0U)                  /*!< SCB CFSR (UFSR): UNDEFINSTR Position */
+#define SCB_CFSR_UNDEFINSTR_Msk           (1UL << SCB_CFSR_UNDEFINSTR_Pos)                /*!< SCB CFSR (UFSR): UNDEFINSTR Mask */
+
+/* SCB Hard Fault Status Register Definitions */
+#define SCB_HFSR_DEBUGEVT_Pos              31U                                            /*!< SCB HFSR: DEBUGEVT Position */
 #define SCB_HFSR_DEBUGEVT_Msk              (1UL << SCB_HFSR_DEBUGEVT_Pos)                 /*!< SCB HFSR: DEBUGEVT Mask */
 
-#define SCB_HFSR_FORCED_Pos                30                                             /*!< SCB HFSR: FORCED Position */
+#define SCB_HFSR_FORCED_Pos                30U                                            /*!< SCB HFSR: FORCED Position */
 #define SCB_HFSR_FORCED_Msk                (1UL << SCB_HFSR_FORCED_Pos)                   /*!< SCB HFSR: FORCED Mask */
 
-#define SCB_HFSR_VECTTBL_Pos                1                                             /*!< SCB HFSR: VECTTBL Position */
+#define SCB_HFSR_VECTTBL_Pos                1U                                            /*!< SCB HFSR: VECTTBL Position */
 #define SCB_HFSR_VECTTBL_Msk               (1UL << SCB_HFSR_VECTTBL_Pos)                  /*!< SCB HFSR: VECTTBL Mask */
 
 /* SCB Debug Fault Status Register Definitions */
-#define SCB_DFSR_EXTERNAL_Pos               4                                             /*!< SCB DFSR: EXTERNAL Position */
+#define SCB_DFSR_EXTERNAL_Pos               4U                                            /*!< SCB DFSR: EXTERNAL Position */
 #define SCB_DFSR_EXTERNAL_Msk              (1UL << SCB_DFSR_EXTERNAL_Pos)                 /*!< SCB DFSR: EXTERNAL Mask */
 
-#define SCB_DFSR_VCATCH_Pos                 3                                             /*!< SCB DFSR: VCATCH Position */
+#define SCB_DFSR_VCATCH_Pos                 3U                                            /*!< SCB DFSR: VCATCH Position */
 #define SCB_DFSR_VCATCH_Msk                (1UL << SCB_DFSR_VCATCH_Pos)                   /*!< SCB DFSR: VCATCH Mask */
 
-#define SCB_DFSR_DWTTRAP_Pos                2                                             /*!< SCB DFSR: DWTTRAP Position */
+#define SCB_DFSR_DWTTRAP_Pos                2U                                            /*!< SCB DFSR: DWTTRAP Position */
 #define SCB_DFSR_DWTTRAP_Msk               (1UL << SCB_DFSR_DWTTRAP_Pos)                  /*!< SCB DFSR: DWTTRAP Mask */
 
-#define SCB_DFSR_BKPT_Pos                   1                                             /*!< SCB DFSR: BKPT Position */
+#define SCB_DFSR_BKPT_Pos                   1U                                            /*!< SCB DFSR: BKPT Position */
 #define SCB_DFSR_BKPT_Msk                  (1UL << SCB_DFSR_BKPT_Pos)                     /*!< SCB DFSR: BKPT Mask */
 
-#define SCB_DFSR_HALTED_Pos                 0                                             /*!< SCB DFSR: HALTED Position */
+#define SCB_DFSR_HALTED_Pos                 0U                                            /*!< SCB DFSR: HALTED Position */
 #define SCB_DFSR_HALTED_Msk                (1UL /*<< SCB_DFSR_HALTED_Pos*/)               /*!< SCB DFSR: HALTED Mask */
 
-/* Cache Level ID register */
-#define SCB_CLIDR_LOUU_Pos                 27                                             /*!< SCB CLIDR: LoUU Position */
+/* SCB Cache Level ID Register Definitions */
+#define SCB_CLIDR_LOUU_Pos                 27U                                            /*!< SCB CLIDR: LoUU Position */
 #define SCB_CLIDR_LOUU_Msk                 (7UL << SCB_CLIDR_LOUU_Pos)                    /*!< SCB CLIDR: LoUU Mask */
 
-#define SCB_CLIDR_LOC_Pos                  24                                             /*!< SCB CLIDR: LoC Position */
-#define SCB_CLIDR_LOC_Msk                  (7UL << SCB_CLIDR_FORMAT_Pos)                  /*!< SCB CLIDR: LoC Mask */
+#define SCB_CLIDR_LOC_Pos                  24U                                            /*!< SCB CLIDR: LoC Position */
+#define SCB_CLIDR_LOC_Msk                  (7UL << SCB_CLIDR_LOC_Pos)                     /*!< SCB CLIDR: LoC Mask */
 
-/* Cache Type register */
-#define SCB_CTR_FORMAT_Pos                 29                                             /*!< SCB CTR: Format Position */
+/* SCB Cache Type Register Definitions */
+#define SCB_CTR_FORMAT_Pos                 29U                                            /*!< SCB CTR: Format Position */
 #define SCB_CTR_FORMAT_Msk                 (7UL << SCB_CTR_FORMAT_Pos)                    /*!< SCB CTR: Format Mask */
 
-#define SCB_CTR_CWG_Pos                    24                                             /*!< SCB CTR: CWG Position */
+#define SCB_CTR_CWG_Pos                    24U                                            /*!< SCB CTR: CWG Position */
 #define SCB_CTR_CWG_Msk                    (0xFUL << SCB_CTR_CWG_Pos)                     /*!< SCB CTR: CWG Mask */
 
-#define SCB_CTR_ERG_Pos                    20                                             /*!< SCB CTR: ERG Position */
+#define SCB_CTR_ERG_Pos                    20U                                            /*!< SCB CTR: ERG Position */
 #define SCB_CTR_ERG_Msk                    (0xFUL << SCB_CTR_ERG_Pos)                     /*!< SCB CTR: ERG Mask */
 
-#define SCB_CTR_DMINLINE_Pos               16                                             /*!< SCB CTR: DminLine Position */
+#define SCB_CTR_DMINLINE_Pos               16U                                            /*!< SCB CTR: DminLine Position */
 #define SCB_CTR_DMINLINE_Msk               (0xFUL << SCB_CTR_DMINLINE_Pos)                /*!< SCB CTR: DminLine Mask */
 
-#define SCB_CTR_IMINLINE_Pos                0                                             /*!< SCB CTR: ImInLine Position */
+#define SCB_CTR_IMINLINE_Pos                0U                                            /*!< SCB CTR: ImInLine Position */
 #define SCB_CTR_IMINLINE_Msk               (0xFUL /*<< SCB_CTR_IMINLINE_Pos*/)            /*!< SCB CTR: ImInLine Mask */
 
-/* Cache Size ID Register */
-#define SCB_CCSIDR_WT_Pos                  31                                             /*!< SCB CCSIDR: WT Position */
-#define SCB_CCSIDR_WT_Msk                  (7UL << SCB_CCSIDR_WT_Pos)                     /*!< SCB CCSIDR: WT Mask */
+/* SCB Cache Size ID Register Definitions */
+#define SCB_CCSIDR_WT_Pos                  31U                                            /*!< SCB CCSIDR: WT Position */
+#define SCB_CCSIDR_WT_Msk                  (1UL << SCB_CCSIDR_WT_Pos)                     /*!< SCB CCSIDR: WT Mask */
 
-#define SCB_CCSIDR_WB_Pos                  30                                             /*!< SCB CCSIDR: WB Position */
-#define SCB_CCSIDR_WB_Msk                  (7UL << SCB_CCSIDR_WB_Pos)                     /*!< SCB CCSIDR: WB Mask */
+#define SCB_CCSIDR_WB_Pos                  30U                                            /*!< SCB CCSIDR: WB Position */
+#define SCB_CCSIDR_WB_Msk                  (1UL << SCB_CCSIDR_WB_Pos)                     /*!< SCB CCSIDR: WB Mask */
 
-#define SCB_CCSIDR_RA_Pos                  29                                             /*!< SCB CCSIDR: RA Position */
-#define SCB_CCSIDR_RA_Msk                  (7UL << SCB_CCSIDR_RA_Pos)                     /*!< SCB CCSIDR: RA Mask */
+#define SCB_CCSIDR_RA_Pos                  29U                                            /*!< SCB CCSIDR: RA Position */
+#define SCB_CCSIDR_RA_Msk                  (1UL << SCB_CCSIDR_RA_Pos)                     /*!< SCB CCSIDR: RA Mask */
 
-#define SCB_CCSIDR_WA_Pos                  28                                             /*!< SCB CCSIDR: WA Position */
-#define SCB_CCSIDR_WA_Msk                  (7UL << SCB_CCSIDR_WA_Pos)                     /*!< SCB CCSIDR: WA Mask */
+#define SCB_CCSIDR_WA_Pos                  28U                                            /*!< SCB CCSIDR: WA Position */
+#define SCB_CCSIDR_WA_Msk                  (1UL << SCB_CCSIDR_WA_Pos)                     /*!< SCB CCSIDR: WA Mask */
 
-#define SCB_CCSIDR_NUMSETS_Pos             13                                             /*!< SCB CCSIDR: NumSets Position */
+#define SCB_CCSIDR_NUMSETS_Pos             13U                                            /*!< SCB CCSIDR: NumSets Position */
 #define SCB_CCSIDR_NUMSETS_Msk             (0x7FFFUL << SCB_CCSIDR_NUMSETS_Pos)           /*!< SCB CCSIDR: NumSets Mask */
 
-#define SCB_CCSIDR_ASSOCIATIVITY_Pos        3                                             /*!< SCB CCSIDR: Associativity Position */
+#define SCB_CCSIDR_ASSOCIATIVITY_Pos        3U                                            /*!< SCB CCSIDR: Associativity Position */
 #define SCB_CCSIDR_ASSOCIATIVITY_Msk       (0x3FFUL << SCB_CCSIDR_ASSOCIATIVITY_Pos)      /*!< SCB CCSIDR: Associativity Mask */
 
-#define SCB_CCSIDR_LINESIZE_Pos             0                                             /*!< SCB CCSIDR: LineSize Position */
+#define SCB_CCSIDR_LINESIZE_Pos             0U                                            /*!< SCB CCSIDR: LineSize Position */
 #define SCB_CCSIDR_LINESIZE_Msk            (7UL /*<< SCB_CCSIDR_LINESIZE_Pos*/)           /*!< SCB CCSIDR: LineSize Mask */
 
-/* Cache Size Selection Register */
-#define SCB_CSSELR_LEVEL_Pos                1                                             /*!< SCB CSSELR: Level Position */
+/* SCB Cache Size Selection Register Definitions */
+#define SCB_CSSELR_LEVEL_Pos                1U                                            /*!< SCB CSSELR: Level Position */
 #define SCB_CSSELR_LEVEL_Msk               (7UL << SCB_CSSELR_LEVEL_Pos)                  /*!< SCB CSSELR: Level Mask */
 
-#define SCB_CSSELR_IND_Pos                  0                                             /*!< SCB CSSELR: InD Position */
+#define SCB_CSSELR_IND_Pos                  0U                                            /*!< SCB CSSELR: InD Position */
 #define SCB_CSSELR_IND_Msk                 (1UL /*<< SCB_CSSELR_IND_Pos*/)                /*!< SCB CSSELR: InD Mask */
 
-/* SCB Software Triggered Interrupt Register */
-#define SCB_STIR_INTID_Pos                  0                                             /*!< SCB STIR: INTID Position */
+/* SCB Software Triggered Interrupt Register Definitions */
+#define SCB_STIR_INTID_Pos                  0U                                            /*!< SCB STIR: INTID Position */
 #define SCB_STIR_INTID_Msk                 (0x1FFUL /*<< SCB_STIR_INTID_Pos*/)            /*!< SCB STIR: INTID Mask */
 
-/* Instruction Tightly-Coupled Memory Control Register*/
-#define SCB_ITCMCR_SZ_Pos                   3                                             /*!< SCB ITCMCR: SZ Position */
+/* SCB D-Cache Invalidate by Set-way Register Definitions */
+#define SCB_DCISW_WAY_Pos                  30U                                            /*!< SCB DCISW: Way Position */
+#define SCB_DCISW_WAY_Msk                  (3UL << SCB_DCISW_WAY_Pos)                     /*!< SCB DCISW: Way Mask */
+
+#define SCB_DCISW_SET_Pos                   5U                                            /*!< SCB DCISW: Set Position */
+#define SCB_DCISW_SET_Msk                  (0x1FFUL << SCB_DCISW_SET_Pos)                 /*!< SCB DCISW: Set Mask */
+
+/* SCB D-Cache Clean by Set-way Register Definitions */
+#define SCB_DCCSW_WAY_Pos                  30U                                            /*!< SCB DCCSW: Way Position */
+#define SCB_DCCSW_WAY_Msk                  (3UL << SCB_DCCSW_WAY_Pos)                     /*!< SCB DCCSW: Way Mask */
+
+#define SCB_DCCSW_SET_Pos                   5U                                            /*!< SCB DCCSW: Set Position */
+#define SCB_DCCSW_SET_Msk                  (0x1FFUL << SCB_DCCSW_SET_Pos)                 /*!< SCB DCCSW: Set Mask */
+
+/* SCB D-Cache Clean and Invalidate by Set-way Register Definitions */
+#define SCB_DCCISW_WAY_Pos                 30U                                            /*!< SCB DCCISW: Way Position */
+#define SCB_DCCISW_WAY_Msk                 (3UL << SCB_DCCISW_WAY_Pos)                    /*!< SCB DCCISW: Way Mask */
+
+#define SCB_DCCISW_SET_Pos                  5U                                            /*!< SCB DCCISW: Set Position */
+#define SCB_DCCISW_SET_Msk                 (0x1FFUL << SCB_DCCISW_SET_Pos)                /*!< SCB DCCISW: Set Mask */
+
+/* Instruction Tightly-Coupled Memory Control Register Definitions */
+#define SCB_ITCMCR_SZ_Pos                   3U                                            /*!< SCB ITCMCR: SZ Position */
 #define SCB_ITCMCR_SZ_Msk                  (0xFUL << SCB_ITCMCR_SZ_Pos)                   /*!< SCB ITCMCR: SZ Mask */
 
-#define SCB_ITCMCR_RETEN_Pos                2                                             /*!< SCB ITCMCR: RETEN Position */
+#define SCB_ITCMCR_RETEN_Pos                2U                                            /*!< SCB ITCMCR: RETEN Position */
 #define SCB_ITCMCR_RETEN_Msk               (1UL << SCB_ITCMCR_RETEN_Pos)                  /*!< SCB ITCMCR: RETEN Mask */
 
-#define SCB_ITCMCR_RMW_Pos                  1                                             /*!< SCB ITCMCR: RMW Position */
+#define SCB_ITCMCR_RMW_Pos                  1U                                            /*!< SCB ITCMCR: RMW Position */
 #define SCB_ITCMCR_RMW_Msk                 (1UL << SCB_ITCMCR_RMW_Pos)                    /*!< SCB ITCMCR: RMW Mask */
 
-#define SCB_ITCMCR_EN_Pos                   0                                             /*!< SCB ITCMCR: EN Position */
+#define SCB_ITCMCR_EN_Pos                   0U                                            /*!< SCB ITCMCR: EN Position */
 #define SCB_ITCMCR_EN_Msk                  (1UL /*<< SCB_ITCMCR_EN_Pos*/)                 /*!< SCB ITCMCR: EN Mask */
 
-/* Data Tightly-Coupled Memory Control Registers */
-#define SCB_DTCMCR_SZ_Pos                   3                                             /*!< SCB DTCMCR: SZ Position */
+/* Data Tightly-Coupled Memory Control Register Definitions */
+#define SCB_DTCMCR_SZ_Pos                   3U                                            /*!< SCB DTCMCR: SZ Position */
 #define SCB_DTCMCR_SZ_Msk                  (0xFUL << SCB_DTCMCR_SZ_Pos)                   /*!< SCB DTCMCR: SZ Mask */
 
-#define SCB_DTCMCR_RETEN_Pos                2                                             /*!< SCB DTCMCR: RETEN Position */
+#define SCB_DTCMCR_RETEN_Pos                2U                                            /*!< SCB DTCMCR: RETEN Position */
 #define SCB_DTCMCR_RETEN_Msk               (1UL << SCB_DTCMCR_RETEN_Pos)                   /*!< SCB DTCMCR: RETEN Mask */
 
-#define SCB_DTCMCR_RMW_Pos                  1                                             /*!< SCB DTCMCR: RMW Position */
+#define SCB_DTCMCR_RMW_Pos                  1U                                            /*!< SCB DTCMCR: RMW Position */
 #define SCB_DTCMCR_RMW_Msk                 (1UL << SCB_DTCMCR_RMW_Pos)                    /*!< SCB DTCMCR: RMW Mask */
 
-#define SCB_DTCMCR_EN_Pos                   0                                             /*!< SCB DTCMCR: EN Position */
+#define SCB_DTCMCR_EN_Pos                   0U                                            /*!< SCB DTCMCR: EN Position */
 #define SCB_DTCMCR_EN_Msk                  (1UL /*<< SCB_DTCMCR_EN_Pos*/)                 /*!< SCB DTCMCR: EN Mask */
 
-/* AHBP Control Register */
-#define SCB_AHBPCR_SZ_Pos                   1                                             /*!< SCB AHBPCR: SZ Position */
+/* AHBP Control Register Definitions */
+#define SCB_AHBPCR_SZ_Pos                   1U                                            /*!< SCB AHBPCR: SZ Position */
 #define SCB_AHBPCR_SZ_Msk                  (7UL << SCB_AHBPCR_SZ_Pos)                     /*!< SCB AHBPCR: SZ Mask */
 
-#define SCB_AHBPCR_EN_Pos                   0                                             /*!< SCB AHBPCR: EN Position */
+#define SCB_AHBPCR_EN_Pos                   0U                                            /*!< SCB AHBPCR: EN Position */
 #define SCB_AHBPCR_EN_Msk                  (1UL /*<< SCB_AHBPCR_EN_Pos*/)                 /*!< SCB AHBPCR: EN Mask */
 
-/* L1 Cache Control Register */
-#define SCB_CACR_FORCEWT_Pos                2                                             /*!< SCB CACR: FORCEWT Position */
+/* L1 Cache Control Register Definitions */
+#define SCB_CACR_FORCEWT_Pos                2U                                            /*!< SCB CACR: FORCEWT Position */
 #define SCB_CACR_FORCEWT_Msk               (1UL << SCB_CACR_FORCEWT_Pos)                  /*!< SCB CACR: FORCEWT Mask */
 
-#define SCB_CACR_ECCEN_Pos                  1                                             /*!< SCB CACR: ECCEN Position */
+#define SCB_CACR_ECCEN_Pos                  1U                                            /*!< SCB CACR: ECCEN Position */
 #define SCB_CACR_ECCEN_Msk                 (1UL << SCB_CACR_ECCEN_Pos)                    /*!< SCB CACR: ECCEN Mask */
 
-#define SCB_CACR_SIWT_Pos                   0                                             /*!< SCB CACR: SIWT Position */
+#define SCB_CACR_SIWT_Pos                   0U                                            /*!< SCB CACR: SIWT Position */
 #define SCB_CACR_SIWT_Msk                  (1UL /*<< SCB_CACR_SIWT_Pos*/)                 /*!< SCB CACR: SIWT Mask */
 
-/* AHBS control register */
-#define SCB_AHBSCR_INITCOUNT_Pos           11                                             /*!< SCB AHBSCR: INITCOUNT Position */
+/* AHBS Control Register Definitions */
+#define SCB_AHBSCR_INITCOUNT_Pos           11U                                            /*!< SCB AHBSCR: INITCOUNT Position */
 #define SCB_AHBSCR_INITCOUNT_Msk           (0x1FUL << SCB_AHBPCR_INITCOUNT_Pos)           /*!< SCB AHBSCR: INITCOUNT Mask */
 
-#define SCB_AHBSCR_TPRI_Pos                 2                                             /*!< SCB AHBSCR: TPRI Position */
+#define SCB_AHBSCR_TPRI_Pos                 2U                                            /*!< SCB AHBSCR: TPRI Position */
 #define SCB_AHBSCR_TPRI_Msk                (0x1FFUL << SCB_AHBPCR_TPRI_Pos)               /*!< SCB AHBSCR: TPRI Mask */
 
-#define SCB_AHBSCR_CTL_Pos                  0                                             /*!< SCB AHBSCR: CTL Position*/
+#define SCB_AHBSCR_CTL_Pos                  0U                                            /*!< SCB AHBSCR: CTL Position*/
 #define SCB_AHBSCR_CTL_Msk                 (3UL /*<< SCB_AHBPCR_CTL_Pos*/)                /*!< SCB AHBSCR: CTL Mask */
 
-/* Auxiliary Bus Fault Status Register */
-#define SCB_ABFSR_AXIMTYPE_Pos              8                                             /*!< SCB ABFSR: AXIMTYPE Position*/
+/* Auxiliary Bus Fault Status Register Definitions */
+#define SCB_ABFSR_AXIMTYPE_Pos              8U                                            /*!< SCB ABFSR: AXIMTYPE Position*/
 #define SCB_ABFSR_AXIMTYPE_Msk             (3UL << SCB_ABFSR_AXIMTYPE_Pos)                /*!< SCB ABFSR: AXIMTYPE Mask */
 
-#define SCB_ABFSR_EPPB_Pos                  4                                             /*!< SCB ABFSR: EPPB Position*/
+#define SCB_ABFSR_EPPB_Pos                  4U                                            /*!< SCB ABFSR: EPPB Position*/
 #define SCB_ABFSR_EPPB_Msk                 (1UL << SCB_ABFSR_EPPB_Pos)                    /*!< SCB ABFSR: EPPB Mask */
 
-#define SCB_ABFSR_AXIM_Pos                  3                                             /*!< SCB ABFSR: AXIM Position*/
+#define SCB_ABFSR_AXIM_Pos                  3U                                            /*!< SCB ABFSR: AXIM Position*/
 #define SCB_ABFSR_AXIM_Msk                 (1UL << SCB_ABFSR_AXIM_Pos)                    /*!< SCB ABFSR: AXIM Mask */
 
-#define SCB_ABFSR_AHBP_Pos                  2                                             /*!< SCB ABFSR: AHBP Position*/
+#define SCB_ABFSR_AHBP_Pos                  2U                                            /*!< SCB ABFSR: AHBP Position*/
 #define SCB_ABFSR_AHBP_Msk                 (1UL << SCB_ABFSR_AHBP_Pos)                    /*!< SCB ABFSR: AHBP Mask */
 
-#define SCB_ABFSR_DTCM_Pos                  1                                             /*!< SCB ABFSR: DTCM Position*/
+#define SCB_ABFSR_DTCM_Pos                  1U                                            /*!< SCB ABFSR: DTCM Position*/
 #define SCB_ABFSR_DTCM_Msk                 (1UL << SCB_ABFSR_DTCM_Pos)                    /*!< SCB ABFSR: DTCM Mask */
 
-#define SCB_ABFSR_ITCM_Pos                  0                                             /*!< SCB ABFSR: ITCM Position*/
+#define SCB_ABFSR_ITCM_Pos                  0U                                            /*!< SCB ABFSR: ITCM Position*/
 #define SCB_ABFSR_ITCM_Msk                 (1UL /*<< SCB_ABFSR_ITCM_Pos*/)                /*!< SCB ABFSR: ITCM Mask */
 
 /*@} end of group CMSIS_SCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
-    \brief      Type definitions for the System Control and ID Register not in the SCB
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
+  \brief    Type definitions for the System Control and ID Register not in the SCB
   @{
  */
 
-/** \brief  Structure type to access the System Control and ID Register not in the SCB.
+/**
+  \brief  Structure type to access the System Control and ID Register not in the SCB.
  */
 typedef struct
 {
-       uint32_t RESERVED0[1];
-  __I  uint32_t ICTR;                    /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register      */
-  __IO uint32_t ACTLR;                   /*!< Offset: 0x008 (R/W)  Auxiliary Control Register              */
+        uint32_t RESERVED0[1U];
+  __IM  uint32_t ICTR;                   /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register */
+  __IOM uint32_t ACTLR;                  /*!< Offset: 0x008 (R/W)  Auxiliary Control Register */
 } SCnSCB_Type;
 
 /* Interrupt Controller Type Register Definitions */
-#define SCnSCB_ICTR_INTLINESNUM_Pos         0                                          /*!< ICTR: INTLINESNUM Position */
+#define SCnSCB_ICTR_INTLINESNUM_Pos         0U                                         /*!< ICTR: INTLINESNUM Position */
 #define SCnSCB_ICTR_INTLINESNUM_Msk        (0xFUL /*<< SCnSCB_ICTR_INTLINESNUM_Pos*/)  /*!< ICTR: INTLINESNUM Mask */
 
 /* Auxiliary Control Register Definitions */
-#define SCnSCB_ACTLR_DISITMATBFLUSH_Pos    12                                          /*!< ACTLR: DISITMATBFLUSH Position */
+#define SCnSCB_ACTLR_DISITMATBFLUSH_Pos    12U                                         /*!< ACTLR: DISITMATBFLUSH Position */
 #define SCnSCB_ACTLR_DISITMATBFLUSH_Msk    (1UL << SCnSCB_ACTLR_DISITMATBFLUSH_Pos)    /*!< ACTLR: DISITMATBFLUSH Mask */
 
-#define SCnSCB_ACTLR_DISRAMODE_Pos         11                                          /*!< ACTLR: DISRAMODE Position */
+#define SCnSCB_ACTLR_DISRAMODE_Pos         11U                                         /*!< ACTLR: DISRAMODE Position */
 #define SCnSCB_ACTLR_DISRAMODE_Msk         (1UL << SCnSCB_ACTLR_DISRAMODE_Pos)         /*!< ACTLR: DISRAMODE Mask */
 
-#define SCnSCB_ACTLR_FPEXCODIS_Pos         10                                          /*!< ACTLR: FPEXCODIS Position */
+#define SCnSCB_ACTLR_FPEXCODIS_Pos         10U                                         /*!< ACTLR: FPEXCODIS Position */
 #define SCnSCB_ACTLR_FPEXCODIS_Msk         (1UL << SCnSCB_ACTLR_FPEXCODIS_Pos)         /*!< ACTLR: FPEXCODIS Mask */
 
-#define SCnSCB_ACTLR_DISFOLD_Pos            2                                          /*!< ACTLR: DISFOLD Position */
+#define SCnSCB_ACTLR_DISFOLD_Pos            2U                                         /*!< ACTLR: DISFOLD Position */
 #define SCnSCB_ACTLR_DISFOLD_Msk           (1UL << SCnSCB_ACTLR_DISFOLD_Pos)           /*!< ACTLR: DISFOLD Mask */
 
-#define SCnSCB_ACTLR_DISMCYCINT_Pos         0                                          /*!< ACTLR: DISMCYCINT Position */
+#define SCnSCB_ACTLR_DISMCYCINT_Pos         0U                                         /*!< ACTLR: DISMCYCINT Position */
 #define SCnSCB_ACTLR_DISMCYCINT_Msk        (1UL /*<< SCnSCB_ACTLR_DISMCYCINT_Pos*/)    /*!< ACTLR: DISMCYCINT Mask */
 
 /*@} end of group CMSIS_SCnotSCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
-    \brief      Type definitions for the System Timer Registers.
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
   @{
  */
 
-/** \brief  Structure type to access the System Timer (SysTick).
+/**
+  \brief  Structure type to access the System Timer (SysTick).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
-  __IO uint32_t LOAD;                    /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register       */
-  __IO uint32_t VAL;                     /*!< Offset: 0x008 (R/W)  SysTick Current Value Register      */
-  __I  uint32_t CALIB;                   /*!< Offset: 0x00C (R/ )  SysTick Calibration Register        */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
 } SysTick_Type;
 
 /* SysTick Control / Status Register Definitions */
-#define SysTick_CTRL_COUNTFLAG_Pos         16                                             /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
 #define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
 
-#define SysTick_CTRL_CLKSOURCE_Pos          2                                             /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
 #define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
 
-#define SysTick_CTRL_TICKINT_Pos            1                                             /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
 #define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
 
-#define SysTick_CTRL_ENABLE_Pos             0                                             /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
 #define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
 
 /* SysTick Reload Register Definitions */
-#define SysTick_LOAD_RELOAD_Pos             0                                             /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
 #define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
 
 /* SysTick Current Register Definitions */
-#define SysTick_VAL_CURRENT_Pos             0                                             /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
 #define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
 
 /* SysTick Calibration Register Definitions */
-#define SysTick_CALIB_NOREF_Pos            31                                             /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
 #define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
 
-#define SysTick_CALIB_SKEW_Pos             30                                             /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
 #define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
 
-#define SysTick_CALIB_TENMS_Pos             0                                             /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
 #define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
 
 /*@} end of group CMSIS_SysTick */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
-    \brief      Type definitions for the Instrumentation Trace Macrocell (ITM)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
+  \brief    Type definitions for the Instrumentation Trace Macrocell (ITM)
   @{
  */
 
-/** \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
+/**
+  \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
  */
 typedef struct
 {
-  __O  union
+  __OM  union
   {
-    __O  uint8_t    u8;                  /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit                   */
-    __O  uint16_t   u16;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit                  */
-    __O  uint32_t   u32;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit                  */
-  }  PORT [32];                          /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers               */
-       uint32_t RESERVED0[864];
-  __IO uint32_t TER;                     /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register                 */
-       uint32_t RESERVED1[15];
-  __IO uint32_t TPR;                     /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register              */
-       uint32_t RESERVED2[15];
-  __IO uint32_t TCR;                     /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register                */
-       uint32_t RESERVED3[29];
-  __O  uint32_t IWR;                     /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register            */
-  __I  uint32_t IRR;                     /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register             */
-  __IO uint32_t IMCR;                    /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register     */
-       uint32_t RESERVED4[43];
-  __O  uint32_t LAR;                     /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register                  */
-  __I  uint32_t LSR;                     /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register                  */
-       uint32_t RESERVED5[6];
-  __I  uint32_t PID4;                    /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
-  __I  uint32_t PID5;                    /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
-  __I  uint32_t PID6;                    /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
-  __I  uint32_t PID7;                    /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
-  __I  uint32_t PID0;                    /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
-  __I  uint32_t PID1;                    /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
-  __I  uint32_t PID2;                    /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
-  __I  uint32_t PID3;                    /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
-  __I  uint32_t CID0;                    /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
-  __I  uint32_t CID1;                    /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
-  __I  uint32_t CID2;                    /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
-  __I  uint32_t CID3;                    /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
+    __OM  uint8_t    u8;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit */
+    __OM  uint16_t   u16;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit */
+    __OM  uint32_t   u32;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit */
+  }  PORT [32U];                         /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers */
+        uint32_t RESERVED0[864U];
+  __IOM uint32_t TER;                    /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register */
+        uint32_t RESERVED1[15U];
+  __IOM uint32_t TPR;                    /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register */
+        uint32_t RESERVED2[15U];
+  __IOM uint32_t TCR;                    /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register */
+        uint32_t RESERVED3[29U];
+  __OM  uint32_t IWR;                    /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register */
+  __IM  uint32_t IRR;                    /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register */
+  __IOM uint32_t IMCR;                   /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register */
+        uint32_t RESERVED4[43U];
+  __OM  uint32_t LAR;                    /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register */
+  __IM  uint32_t LSR;                    /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register */
+        uint32_t RESERVED5[6U];
+  __IM  uint32_t PID4;                   /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
+  __IM  uint32_t PID5;                   /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
+  __IM  uint32_t PID6;                   /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
+  __IM  uint32_t PID7;                   /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
+  __IM  uint32_t PID0;                   /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
+  __IM  uint32_t PID1;                   /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
+  __IM  uint32_t PID2;                   /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
+  __IM  uint32_t PID3;                   /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
+  __IM  uint32_t CID0;                   /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
+  __IM  uint32_t CID1;                   /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
+  __IM  uint32_t CID2;                   /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
+  __IM  uint32_t CID3;                   /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
 } ITM_Type;
 
 /* ITM Trace Privilege Register Definitions */
-#define ITM_TPR_PRIVMASK_Pos                0                                             /*!< ITM TPR: PRIVMASK Position */
-#define ITM_TPR_PRIVMASK_Msk               (0xFUL /*<< ITM_TPR_PRIVMASK_Pos*/)            /*!< ITM TPR: PRIVMASK Mask */
+#define ITM_TPR_PRIVMASK_Pos                0U                                            /*!< ITM TPR: PRIVMASK Position */
+#define ITM_TPR_PRIVMASK_Msk               (0xFFFFFFFFUL /*<< ITM_TPR_PRIVMASK_Pos*/)     /*!< ITM TPR: PRIVMASK Mask */
 
 /* ITM Trace Control Register Definitions */
-#define ITM_TCR_BUSY_Pos                   23                                             /*!< ITM TCR: BUSY Position */
+#define ITM_TCR_BUSY_Pos                   23U                                            /*!< ITM TCR: BUSY Position */
 #define ITM_TCR_BUSY_Msk                   (1UL << ITM_TCR_BUSY_Pos)                      /*!< ITM TCR: BUSY Mask */
 
-#define ITM_TCR_TraceBusID_Pos             16                                             /*!< ITM TCR: ATBID Position */
+#define ITM_TCR_TraceBusID_Pos             16U                                            /*!< ITM TCR: ATBID Position */
 #define ITM_TCR_TraceBusID_Msk             (0x7FUL << ITM_TCR_TraceBusID_Pos)             /*!< ITM TCR: ATBID Mask */
 
-#define ITM_TCR_GTSFREQ_Pos                10                                             /*!< ITM TCR: Global timestamp frequency Position */
+#define ITM_TCR_GTSFREQ_Pos                10U                                            /*!< ITM TCR: Global timestamp frequency Position */
 #define ITM_TCR_GTSFREQ_Msk                (3UL << ITM_TCR_GTSFREQ_Pos)                   /*!< ITM TCR: Global timestamp frequency Mask */
 
-#define ITM_TCR_TSPrescale_Pos              8                                             /*!< ITM TCR: TSPrescale Position */
+#define ITM_TCR_TSPrescale_Pos              8U                                            /*!< ITM TCR: TSPrescale Position */
 #define ITM_TCR_TSPrescale_Msk             (3UL << ITM_TCR_TSPrescale_Pos)                /*!< ITM TCR: TSPrescale Mask */
 
-#define ITM_TCR_SWOENA_Pos                  4                                             /*!< ITM TCR: SWOENA Position */
+#define ITM_TCR_SWOENA_Pos                  4U                                            /*!< ITM TCR: SWOENA Position */
 #define ITM_TCR_SWOENA_Msk                 (1UL << ITM_TCR_SWOENA_Pos)                    /*!< ITM TCR: SWOENA Mask */
 
-#define ITM_TCR_DWTENA_Pos                  3                                             /*!< ITM TCR: DWTENA Position */
+#define ITM_TCR_DWTENA_Pos                  3U                                            /*!< ITM TCR: DWTENA Position */
 #define ITM_TCR_DWTENA_Msk                 (1UL << ITM_TCR_DWTENA_Pos)                    /*!< ITM TCR: DWTENA Mask */
 
-#define ITM_TCR_SYNCENA_Pos                 2                                             /*!< ITM TCR: SYNCENA Position */
+#define ITM_TCR_SYNCENA_Pos                 2U                                            /*!< ITM TCR: SYNCENA Position */
 #define ITM_TCR_SYNCENA_Msk                (1UL << ITM_TCR_SYNCENA_Pos)                   /*!< ITM TCR: SYNCENA Mask */
 
-#define ITM_TCR_TSENA_Pos                   1                                             /*!< ITM TCR: TSENA Position */
+#define ITM_TCR_TSENA_Pos                   1U                                            /*!< ITM TCR: TSENA Position */
 #define ITM_TCR_TSENA_Msk                  (1UL << ITM_TCR_TSENA_Pos)                     /*!< ITM TCR: TSENA Mask */
 
-#define ITM_TCR_ITMENA_Pos                  0                                             /*!< ITM TCR: ITM Enable bit Position */
+#define ITM_TCR_ITMENA_Pos                  0U                                            /*!< ITM TCR: ITM Enable bit Position */
 #define ITM_TCR_ITMENA_Msk                 (1UL /*<< ITM_TCR_ITMENA_Pos*/)                /*!< ITM TCR: ITM Enable bit Mask */
 
 /* ITM Integration Write Register Definitions */
-#define ITM_IWR_ATVALIDM_Pos                0                                             /*!< ITM IWR: ATVALIDM Position */
+#define ITM_IWR_ATVALIDM_Pos                0U                                            /*!< ITM IWR: ATVALIDM Position */
 #define ITM_IWR_ATVALIDM_Msk               (1UL /*<< ITM_IWR_ATVALIDM_Pos*/)              /*!< ITM IWR: ATVALIDM Mask */
 
 /* ITM Integration Read Register Definitions */
-#define ITM_IRR_ATREADYM_Pos                0                                             /*!< ITM IRR: ATREADYM Position */
+#define ITM_IRR_ATREADYM_Pos                0U                                            /*!< ITM IRR: ATREADYM Position */
 #define ITM_IRR_ATREADYM_Msk               (1UL /*<< ITM_IRR_ATREADYM_Pos*/)              /*!< ITM IRR: ATREADYM Mask */
 
 /* ITM Integration Mode Control Register Definitions */
-#define ITM_IMCR_INTEGRATION_Pos            0                                             /*!< ITM IMCR: INTEGRATION Position */
+#define ITM_IMCR_INTEGRATION_Pos            0U                                            /*!< ITM IMCR: INTEGRATION Position */
 #define ITM_IMCR_INTEGRATION_Msk           (1UL /*<< ITM_IMCR_INTEGRATION_Pos*/)          /*!< ITM IMCR: INTEGRATION Mask */
 
 /* ITM Lock Status Register Definitions */
-#define ITM_LSR_ByteAcc_Pos                 2                                             /*!< ITM LSR: ByteAcc Position */
+#define ITM_LSR_ByteAcc_Pos                 2U                                            /*!< ITM LSR: ByteAcc Position */
 #define ITM_LSR_ByteAcc_Msk                (1UL << ITM_LSR_ByteAcc_Pos)                   /*!< ITM LSR: ByteAcc Mask */
 
-#define ITM_LSR_Access_Pos                  1                                             /*!< ITM LSR: Access Position */
+#define ITM_LSR_Access_Pos                  1U                                            /*!< ITM LSR: Access Position */
 #define ITM_LSR_Access_Msk                 (1UL << ITM_LSR_Access_Pos)                    /*!< ITM LSR: Access Mask */
 
-#define ITM_LSR_Present_Pos                 0                                             /*!< ITM LSR: Present Position */
+#define ITM_LSR_Present_Pos                 0U                                            /*!< ITM LSR: Present Position */
 #define ITM_LSR_Present_Msk                (1UL /*<< ITM_LSR_Present_Pos*/)               /*!< ITM LSR: Present Mask */
 
 /*@}*/ /* end of group CMSIS_ITM */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
-    \brief      Type definitions for the Data Watchpoint and Trace (DWT)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
+  \brief    Type definitions for the Data Watchpoint and Trace (DWT)
   @{
  */
 
-/** \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
+/**
+  \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  Control Register                          */
-  __IO uint32_t CYCCNT;                  /*!< Offset: 0x004 (R/W)  Cycle Count Register                      */
-  __IO uint32_t CPICNT;                  /*!< Offset: 0x008 (R/W)  CPI Count Register                        */
-  __IO uint32_t EXCCNT;                  /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register         */
-  __IO uint32_t SLEEPCNT;                /*!< Offset: 0x010 (R/W)  Sleep Count Register                      */
-  __IO uint32_t LSUCNT;                  /*!< Offset: 0x014 (R/W)  LSU Count Register                        */
-  __IO uint32_t FOLDCNT;                 /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register         */
-  __I  uint32_t PCSR;                    /*!< Offset: 0x01C (R/ )  Program Counter Sample Register           */
-  __IO uint32_t COMP0;                   /*!< Offset: 0x020 (R/W)  Comparator Register 0                     */
-  __IO uint32_t MASK0;                   /*!< Offset: 0x024 (R/W)  Mask Register 0                           */
-  __IO uint32_t FUNCTION0;               /*!< Offset: 0x028 (R/W)  Function Register 0                       */
-       uint32_t RESERVED0[1];
-  __IO uint32_t COMP1;                   /*!< Offset: 0x030 (R/W)  Comparator Register 1                     */
-  __IO uint32_t MASK1;                   /*!< Offset: 0x034 (R/W)  Mask Register 1                           */
-  __IO uint32_t FUNCTION1;               /*!< Offset: 0x038 (R/W)  Function Register 1                       */
-       uint32_t RESERVED1[1];
-  __IO uint32_t COMP2;                   /*!< Offset: 0x040 (R/W)  Comparator Register 2                     */
-  __IO uint32_t MASK2;                   /*!< Offset: 0x044 (R/W)  Mask Register 2                           */
-  __IO uint32_t FUNCTION2;               /*!< Offset: 0x048 (R/W)  Function Register 2                       */
-       uint32_t RESERVED2[1];
-  __IO uint32_t COMP3;                   /*!< Offset: 0x050 (R/W)  Comparator Register 3                     */
-  __IO uint32_t MASK3;                   /*!< Offset: 0x054 (R/W)  Mask Register 3                           */
-  __IO uint32_t FUNCTION3;               /*!< Offset: 0x058 (R/W)  Function Register 3                       */
-       uint32_t RESERVED3[981];
-  __O  uint32_t LAR;                     /*!< Offset: 0xFB0 (  W)  Lock Access Register                      */
-  __I  uint32_t LSR;                     /*!< Offset: 0xFB4 (R  )  Lock Status Register                      */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  Control Register */
+  __IOM uint32_t CYCCNT;                 /*!< Offset: 0x004 (R/W)  Cycle Count Register */
+  __IOM uint32_t CPICNT;                 /*!< Offset: 0x008 (R/W)  CPI Count Register */
+  __IOM uint32_t EXCCNT;                 /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register */
+  __IOM uint32_t SLEEPCNT;               /*!< Offset: 0x010 (R/W)  Sleep Count Register */
+  __IOM uint32_t LSUCNT;                 /*!< Offset: 0x014 (R/W)  LSU Count Register */
+  __IOM uint32_t FOLDCNT;                /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register */
+  __IM  uint32_t PCSR;                   /*!< Offset: 0x01C (R/ )  Program Counter Sample Register */
+  __IOM uint32_t COMP0;                  /*!< Offset: 0x020 (R/W)  Comparator Register 0 */
+  __IOM uint32_t MASK0;                  /*!< Offset: 0x024 (R/W)  Mask Register 0 */
+  __IOM uint32_t FUNCTION0;              /*!< Offset: 0x028 (R/W)  Function Register 0 */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t COMP1;                  /*!< Offset: 0x030 (R/W)  Comparator Register 1 */
+  __IOM uint32_t MASK1;                  /*!< Offset: 0x034 (R/W)  Mask Register 1 */
+  __IOM uint32_t FUNCTION1;              /*!< Offset: 0x038 (R/W)  Function Register 1 */
+        uint32_t RESERVED1[1U];
+  __IOM uint32_t COMP2;                  /*!< Offset: 0x040 (R/W)  Comparator Register 2 */
+  __IOM uint32_t MASK2;                  /*!< Offset: 0x044 (R/W)  Mask Register 2 */
+  __IOM uint32_t FUNCTION2;              /*!< Offset: 0x048 (R/W)  Function Register 2 */
+        uint32_t RESERVED2[1U];
+  __IOM uint32_t COMP3;                  /*!< Offset: 0x050 (R/W)  Comparator Register 3 */
+  __IOM uint32_t MASK3;                  /*!< Offset: 0x054 (R/W)  Mask Register 3 */
+  __IOM uint32_t FUNCTION3;              /*!< Offset: 0x058 (R/W)  Function Register 3 */
+        uint32_t RESERVED3[981U];
+  __OM  uint32_t LAR;                    /*!< Offset: 0xFB0 (  W)  Lock Access Register */
+  __IM  uint32_t LSR;                    /*!< Offset: 0xFB4 (R  )  Lock Status Register */
 } DWT_Type;
 
 /* DWT Control Register Definitions */
-#define DWT_CTRL_NUMCOMP_Pos               28                                          /*!< DWT CTRL: NUMCOMP Position */
+#define DWT_CTRL_NUMCOMP_Pos               28U                                         /*!< DWT CTRL: NUMCOMP Position */
 #define DWT_CTRL_NUMCOMP_Msk               (0xFUL << DWT_CTRL_NUMCOMP_Pos)             /*!< DWT CTRL: NUMCOMP Mask */
 
-#define DWT_CTRL_NOTRCPKT_Pos              27                                          /*!< DWT CTRL: NOTRCPKT Position */
+#define DWT_CTRL_NOTRCPKT_Pos              27U                                         /*!< DWT CTRL: NOTRCPKT Position */
 #define DWT_CTRL_NOTRCPKT_Msk              (0x1UL << DWT_CTRL_NOTRCPKT_Pos)            /*!< DWT CTRL: NOTRCPKT Mask */
 
-#define DWT_CTRL_NOEXTTRIG_Pos             26                                          /*!< DWT CTRL: NOEXTTRIG Position */
+#define DWT_CTRL_NOEXTTRIG_Pos             26U                                         /*!< DWT CTRL: NOEXTTRIG Position */
 #define DWT_CTRL_NOEXTTRIG_Msk             (0x1UL << DWT_CTRL_NOEXTTRIG_Pos)           /*!< DWT CTRL: NOEXTTRIG Mask */
 
-#define DWT_CTRL_NOCYCCNT_Pos              25                                          /*!< DWT CTRL: NOCYCCNT Position */
+#define DWT_CTRL_NOCYCCNT_Pos              25U                                         /*!< DWT CTRL: NOCYCCNT Position */
 #define DWT_CTRL_NOCYCCNT_Msk              (0x1UL << DWT_CTRL_NOCYCCNT_Pos)            /*!< DWT CTRL: NOCYCCNT Mask */
 
-#define DWT_CTRL_NOPRFCNT_Pos              24                                          /*!< DWT CTRL: NOPRFCNT Position */
+#define DWT_CTRL_NOPRFCNT_Pos              24U                                         /*!< DWT CTRL: NOPRFCNT Position */
 #define DWT_CTRL_NOPRFCNT_Msk              (0x1UL << DWT_CTRL_NOPRFCNT_Pos)            /*!< DWT CTRL: NOPRFCNT Mask */
 
-#define DWT_CTRL_CYCEVTENA_Pos             22                                          /*!< DWT CTRL: CYCEVTENA Position */
+#define DWT_CTRL_CYCEVTENA_Pos             22U                                         /*!< DWT CTRL: CYCEVTENA Position */
 #define DWT_CTRL_CYCEVTENA_Msk             (0x1UL << DWT_CTRL_CYCEVTENA_Pos)           /*!< DWT CTRL: CYCEVTENA Mask */
 
-#define DWT_CTRL_FOLDEVTENA_Pos            21                                          /*!< DWT CTRL: FOLDEVTENA Position */
+#define DWT_CTRL_FOLDEVTENA_Pos            21U                                         /*!< DWT CTRL: FOLDEVTENA Position */
 #define DWT_CTRL_FOLDEVTENA_Msk            (0x1UL << DWT_CTRL_FOLDEVTENA_Pos)          /*!< DWT CTRL: FOLDEVTENA Mask */
 
-#define DWT_CTRL_LSUEVTENA_Pos             20                                          /*!< DWT CTRL: LSUEVTENA Position */
+#define DWT_CTRL_LSUEVTENA_Pos             20U                                         /*!< DWT CTRL: LSUEVTENA Position */
 #define DWT_CTRL_LSUEVTENA_Msk             (0x1UL << DWT_CTRL_LSUEVTENA_Pos)           /*!< DWT CTRL: LSUEVTENA Mask */
 
-#define DWT_CTRL_SLEEPEVTENA_Pos           19                                          /*!< DWT CTRL: SLEEPEVTENA Position */
+#define DWT_CTRL_SLEEPEVTENA_Pos           19U                                         /*!< DWT CTRL: SLEEPEVTENA Position */
 #define DWT_CTRL_SLEEPEVTENA_Msk           (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos)         /*!< DWT CTRL: SLEEPEVTENA Mask */
 
-#define DWT_CTRL_EXCEVTENA_Pos             18                                          /*!< DWT CTRL: EXCEVTENA Position */
+#define DWT_CTRL_EXCEVTENA_Pos             18U                                         /*!< DWT CTRL: EXCEVTENA Position */
 #define DWT_CTRL_EXCEVTENA_Msk             (0x1UL << DWT_CTRL_EXCEVTENA_Pos)           /*!< DWT CTRL: EXCEVTENA Mask */
 
-#define DWT_CTRL_CPIEVTENA_Pos             17                                          /*!< DWT CTRL: CPIEVTENA Position */
+#define DWT_CTRL_CPIEVTENA_Pos             17U                                         /*!< DWT CTRL: CPIEVTENA Position */
 #define DWT_CTRL_CPIEVTENA_Msk             (0x1UL << DWT_CTRL_CPIEVTENA_Pos)           /*!< DWT CTRL: CPIEVTENA Mask */
 
-#define DWT_CTRL_EXCTRCENA_Pos             16                                          /*!< DWT CTRL: EXCTRCENA Position */
+#define DWT_CTRL_EXCTRCENA_Pos             16U                                         /*!< DWT CTRL: EXCTRCENA Position */
 #define DWT_CTRL_EXCTRCENA_Msk             (0x1UL << DWT_CTRL_EXCTRCENA_Pos)           /*!< DWT CTRL: EXCTRCENA Mask */
 
-#define DWT_CTRL_PCSAMPLENA_Pos            12                                          /*!< DWT CTRL: PCSAMPLENA Position */
+#define DWT_CTRL_PCSAMPLENA_Pos            12U                                         /*!< DWT CTRL: PCSAMPLENA Position */
 #define DWT_CTRL_PCSAMPLENA_Msk            (0x1UL << DWT_CTRL_PCSAMPLENA_Pos)          /*!< DWT CTRL: PCSAMPLENA Mask */
 
-#define DWT_CTRL_SYNCTAP_Pos               10                                          /*!< DWT CTRL: SYNCTAP Position */
+#define DWT_CTRL_SYNCTAP_Pos               10U                                         /*!< DWT CTRL: SYNCTAP Position */
 #define DWT_CTRL_SYNCTAP_Msk               (0x3UL << DWT_CTRL_SYNCTAP_Pos)             /*!< DWT CTRL: SYNCTAP Mask */
 
-#define DWT_CTRL_CYCTAP_Pos                 9                                          /*!< DWT CTRL: CYCTAP Position */
+#define DWT_CTRL_CYCTAP_Pos                 9U                                         /*!< DWT CTRL: CYCTAP Position */
 #define DWT_CTRL_CYCTAP_Msk                (0x1UL << DWT_CTRL_CYCTAP_Pos)              /*!< DWT CTRL: CYCTAP Mask */
 
-#define DWT_CTRL_POSTINIT_Pos               5                                          /*!< DWT CTRL: POSTINIT Position */
+#define DWT_CTRL_POSTINIT_Pos               5U                                         /*!< DWT CTRL: POSTINIT Position */
 #define DWT_CTRL_POSTINIT_Msk              (0xFUL << DWT_CTRL_POSTINIT_Pos)            /*!< DWT CTRL: POSTINIT Mask */
 
-#define DWT_CTRL_POSTPRESET_Pos             1                                          /*!< DWT CTRL: POSTPRESET Position */
+#define DWT_CTRL_POSTPRESET_Pos             1U                                         /*!< DWT CTRL: POSTPRESET Position */
 #define DWT_CTRL_POSTPRESET_Msk            (0xFUL << DWT_CTRL_POSTPRESET_Pos)          /*!< DWT CTRL: POSTPRESET Mask */
 
-#define DWT_CTRL_CYCCNTENA_Pos              0                                          /*!< DWT CTRL: CYCCNTENA Position */
+#define DWT_CTRL_CYCCNTENA_Pos              0U                                         /*!< DWT CTRL: CYCCNTENA Position */
 #define DWT_CTRL_CYCCNTENA_Msk             (0x1UL /*<< DWT_CTRL_CYCCNTENA_Pos*/)       /*!< DWT CTRL: CYCCNTENA Mask */
 
 /* DWT CPI Count Register Definitions */
-#define DWT_CPICNT_CPICNT_Pos               0                                          /*!< DWT CPICNT: CPICNT Position */
+#define DWT_CPICNT_CPICNT_Pos               0U                                         /*!< DWT CPICNT: CPICNT Position */
 #define DWT_CPICNT_CPICNT_Msk              (0xFFUL /*<< DWT_CPICNT_CPICNT_Pos*/)       /*!< DWT CPICNT: CPICNT Mask */
 
 /* DWT Exception Overhead Count Register Definitions */
-#define DWT_EXCCNT_EXCCNT_Pos               0                                          /*!< DWT EXCCNT: EXCCNT Position */
+#define DWT_EXCCNT_EXCCNT_Pos               0U                                         /*!< DWT EXCCNT: EXCCNT Position */
 #define DWT_EXCCNT_EXCCNT_Msk              (0xFFUL /*<< DWT_EXCCNT_EXCCNT_Pos*/)       /*!< DWT EXCCNT: EXCCNT Mask */
 
 /* DWT Sleep Count Register Definitions */
-#define DWT_SLEEPCNT_SLEEPCNT_Pos           0                                          /*!< DWT SLEEPCNT: SLEEPCNT Position */
+#define DWT_SLEEPCNT_SLEEPCNT_Pos           0U                                         /*!< DWT SLEEPCNT: SLEEPCNT Position */
 #define DWT_SLEEPCNT_SLEEPCNT_Msk          (0xFFUL /*<< DWT_SLEEPCNT_SLEEPCNT_Pos*/)   /*!< DWT SLEEPCNT: SLEEPCNT Mask */
 
 /* DWT LSU Count Register Definitions */
-#define DWT_LSUCNT_LSUCNT_Pos               0                                          /*!< DWT LSUCNT: LSUCNT Position */
+#define DWT_LSUCNT_LSUCNT_Pos               0U                                         /*!< DWT LSUCNT: LSUCNT Position */
 #define DWT_LSUCNT_LSUCNT_Msk              (0xFFUL /*<< DWT_LSUCNT_LSUCNT_Pos*/)       /*!< DWT LSUCNT: LSUCNT Mask */
 
 /* DWT Folded-instruction Count Register Definitions */
-#define DWT_FOLDCNT_FOLDCNT_Pos             0                                          /*!< DWT FOLDCNT: FOLDCNT Position */
+#define DWT_FOLDCNT_FOLDCNT_Pos             0U                                         /*!< DWT FOLDCNT: FOLDCNT Position */
 #define DWT_FOLDCNT_FOLDCNT_Msk            (0xFFUL /*<< DWT_FOLDCNT_FOLDCNT_Pos*/)     /*!< DWT FOLDCNT: FOLDCNT Mask */
 
 /* DWT Comparator Mask Register Definitions */
-#define DWT_MASK_MASK_Pos                   0                                          /*!< DWT MASK: MASK Position */
+#define DWT_MASK_MASK_Pos                   0U                                         /*!< DWT MASK: MASK Position */
 #define DWT_MASK_MASK_Msk                  (0x1FUL /*<< DWT_MASK_MASK_Pos*/)           /*!< DWT MASK: MASK Mask */
 
 /* DWT Comparator Function Register Definitions */
-#define DWT_FUNCTION_MATCHED_Pos           24                                          /*!< DWT FUNCTION: MATCHED Position */
+#define DWT_FUNCTION_MATCHED_Pos           24U                                         /*!< DWT FUNCTION: MATCHED Position */
 #define DWT_FUNCTION_MATCHED_Msk           (0x1UL << DWT_FUNCTION_MATCHED_Pos)         /*!< DWT FUNCTION: MATCHED Mask */
 
-#define DWT_FUNCTION_DATAVADDR1_Pos        16                                          /*!< DWT FUNCTION: DATAVADDR1 Position */
+#define DWT_FUNCTION_DATAVADDR1_Pos        16U                                         /*!< DWT FUNCTION: DATAVADDR1 Position */
 #define DWT_FUNCTION_DATAVADDR1_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos)      /*!< DWT FUNCTION: DATAVADDR1 Mask */
 
-#define DWT_FUNCTION_DATAVADDR0_Pos        12                                          /*!< DWT FUNCTION: DATAVADDR0 Position */
+#define DWT_FUNCTION_DATAVADDR0_Pos        12U                                         /*!< DWT FUNCTION: DATAVADDR0 Position */
 #define DWT_FUNCTION_DATAVADDR0_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos)      /*!< DWT FUNCTION: DATAVADDR0 Mask */
 
-#define DWT_FUNCTION_DATAVSIZE_Pos         10                                          /*!< DWT FUNCTION: DATAVSIZE Position */
+#define DWT_FUNCTION_DATAVSIZE_Pos         10U                                         /*!< DWT FUNCTION: DATAVSIZE Position */
 #define DWT_FUNCTION_DATAVSIZE_Msk         (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos)       /*!< DWT FUNCTION: DATAVSIZE Mask */
 
-#define DWT_FUNCTION_LNK1ENA_Pos            9                                          /*!< DWT FUNCTION: LNK1ENA Position */
+#define DWT_FUNCTION_LNK1ENA_Pos            9U                                         /*!< DWT FUNCTION: LNK1ENA Position */
 #define DWT_FUNCTION_LNK1ENA_Msk           (0x1UL << DWT_FUNCTION_LNK1ENA_Pos)         /*!< DWT FUNCTION: LNK1ENA Mask */
 
-#define DWT_FUNCTION_DATAVMATCH_Pos         8                                          /*!< DWT FUNCTION: DATAVMATCH Position */
+#define DWT_FUNCTION_DATAVMATCH_Pos         8U                                         /*!< DWT FUNCTION: DATAVMATCH Position */
 #define DWT_FUNCTION_DATAVMATCH_Msk        (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos)      /*!< DWT FUNCTION: DATAVMATCH Mask */
 
-#define DWT_FUNCTION_CYCMATCH_Pos           7                                          /*!< DWT FUNCTION: CYCMATCH Position */
+#define DWT_FUNCTION_CYCMATCH_Pos           7U                                         /*!< DWT FUNCTION: CYCMATCH Position */
 #define DWT_FUNCTION_CYCMATCH_Msk          (0x1UL << DWT_FUNCTION_CYCMATCH_Pos)        /*!< DWT FUNCTION: CYCMATCH Mask */
 
-#define DWT_FUNCTION_EMITRANGE_Pos          5                                          /*!< DWT FUNCTION: EMITRANGE Position */
+#define DWT_FUNCTION_EMITRANGE_Pos          5U                                         /*!< DWT FUNCTION: EMITRANGE Position */
 #define DWT_FUNCTION_EMITRANGE_Msk         (0x1UL << DWT_FUNCTION_EMITRANGE_Pos)       /*!< DWT FUNCTION: EMITRANGE Mask */
 
-#define DWT_FUNCTION_FUNCTION_Pos           0                                          /*!< DWT FUNCTION: FUNCTION Position */
+#define DWT_FUNCTION_FUNCTION_Pos           0U                                         /*!< DWT FUNCTION: FUNCTION Position */
 #define DWT_FUNCTION_FUNCTION_Msk          (0xFUL /*<< DWT_FUNCTION_FUNCTION_Pos*/)    /*!< DWT FUNCTION: FUNCTION Mask */
 
 /*@}*/ /* end of group CMSIS_DWT */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_TPI     Trace Port Interface (TPI)
-    \brief      Type definitions for the Trace Port Interface (TPI)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_TPI     Trace Port Interface (TPI)
+  \brief    Type definitions for the Trace Port Interface (TPI)
   @{
  */
 
-/** \brief  Structure type to access the Trace Port Interface Register (TPI).
+/**
+  \brief  Structure type to access the Trace Port Interface Register (TPI).
  */
 typedef struct
 {
-  __IO uint32_t SSPSR;                   /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register     */
-  __IO uint32_t CSPSR;                   /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
-       uint32_t RESERVED0[2];
-  __IO uint32_t ACPR;                    /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
-       uint32_t RESERVED1[55];
-  __IO uint32_t SPPR;                    /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
-       uint32_t RESERVED2[131];
-  __I  uint32_t FFSR;                    /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
-  __IO uint32_t FFCR;                    /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
-  __I  uint32_t FSCR;                    /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
-       uint32_t RESERVED3[759];
-  __I  uint32_t TRIGGER;                 /*!< Offset: 0xEE8 (R/ )  TRIGGER */
-  __I  uint32_t FIFO0;                   /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
-  __I  uint32_t ITATBCTR2;               /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
-       uint32_t RESERVED4[1];
-  __I  uint32_t ITATBCTR0;               /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
-  __I  uint32_t FIFO1;                   /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
-  __IO uint32_t ITCTRL;                  /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
-       uint32_t RESERVED5[39];
-  __IO uint32_t CLAIMSET;                /*!< Offset: 0xFA0 (R/W)  Claim tag set */
-  __IO uint32_t CLAIMCLR;                /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
-       uint32_t RESERVED7[8];
-  __I  uint32_t DEVID;                   /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
-  __I  uint32_t DEVTYPE;                 /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
+  __IM  uint32_t SSPSR;                  /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register */
+  __IOM uint32_t CSPSR;                  /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
+        uint32_t RESERVED0[2U];
+  __IOM uint32_t ACPR;                   /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
+        uint32_t RESERVED1[55U];
+  __IOM uint32_t SPPR;                   /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
+        uint32_t RESERVED2[131U];
+  __IM  uint32_t FFSR;                   /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
+  __IOM uint32_t FFCR;                   /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
+  __IM  uint32_t FSCR;                   /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
+        uint32_t RESERVED3[759U];
+  __IM  uint32_t TRIGGER;                /*!< Offset: 0xEE8 (R/ )  TRIGGER Register */
+  __IM  uint32_t FIFO0;                  /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
+  __IM  uint32_t ITATBCTR2;              /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
+        uint32_t RESERVED4[1U];
+  __IM  uint32_t ITATBCTR0;              /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
+  __IM  uint32_t FIFO1;                  /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
+  __IOM uint32_t ITCTRL;                 /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
+        uint32_t RESERVED5[39U];
+  __IOM uint32_t CLAIMSET;               /*!< Offset: 0xFA0 (R/W)  Claim tag set */
+  __IOM uint32_t CLAIMCLR;               /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
+        uint32_t RESERVED7[8U];
+  __IM  uint32_t DEVID;                  /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
+  __IM  uint32_t DEVTYPE;                /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
 } TPI_Type;
 
 /* TPI Asynchronous Clock Prescaler Register Definitions */
-#define TPI_ACPR_PRESCALER_Pos              0                                          /*!< TPI ACPR: PRESCALER Position */
+#define TPI_ACPR_PRESCALER_Pos              0U                                         /*!< TPI ACPR: PRESCALER Position */
 #define TPI_ACPR_PRESCALER_Msk             (0x1FFFUL /*<< TPI_ACPR_PRESCALER_Pos*/)    /*!< TPI ACPR: PRESCALER Mask */
 
 /* TPI Selected Pin Protocol Register Definitions */
-#define TPI_SPPR_TXMODE_Pos                 0                                          /*!< TPI SPPR: TXMODE Position */
+#define TPI_SPPR_TXMODE_Pos                 0U                                         /*!< TPI SPPR: TXMODE Position */
 #define TPI_SPPR_TXMODE_Msk                (0x3UL /*<< TPI_SPPR_TXMODE_Pos*/)          /*!< TPI SPPR: TXMODE Mask */
 
 /* TPI Formatter and Flush Status Register Definitions */
-#define TPI_FFSR_FtNonStop_Pos              3                                          /*!< TPI FFSR: FtNonStop Position */
+#define TPI_FFSR_FtNonStop_Pos              3U                                         /*!< TPI FFSR: FtNonStop Position */
 #define TPI_FFSR_FtNonStop_Msk             (0x1UL << TPI_FFSR_FtNonStop_Pos)           /*!< TPI FFSR: FtNonStop Mask */
 
-#define TPI_FFSR_TCPresent_Pos              2                                          /*!< TPI FFSR: TCPresent Position */
+#define TPI_FFSR_TCPresent_Pos              2U                                         /*!< TPI FFSR: TCPresent Position */
 #define TPI_FFSR_TCPresent_Msk             (0x1UL << TPI_FFSR_TCPresent_Pos)           /*!< TPI FFSR: TCPresent Mask */
 
-#define TPI_FFSR_FtStopped_Pos              1                                          /*!< TPI FFSR: FtStopped Position */
+#define TPI_FFSR_FtStopped_Pos              1U                                         /*!< TPI FFSR: FtStopped Position */
 #define TPI_FFSR_FtStopped_Msk             (0x1UL << TPI_FFSR_FtStopped_Pos)           /*!< TPI FFSR: FtStopped Mask */
 
-#define TPI_FFSR_FlInProg_Pos               0                                          /*!< TPI FFSR: FlInProg Position */
+#define TPI_FFSR_FlInProg_Pos               0U                                         /*!< TPI FFSR: FlInProg Position */
 #define TPI_FFSR_FlInProg_Msk              (0x1UL /*<< TPI_FFSR_FlInProg_Pos*/)        /*!< TPI FFSR: FlInProg Mask */
 
 /* TPI Formatter and Flush Control Register Definitions */
-#define TPI_FFCR_TrigIn_Pos                 8                                          /*!< TPI FFCR: TrigIn Position */
+#define TPI_FFCR_TrigIn_Pos                 8U                                         /*!< TPI FFCR: TrigIn Position */
 #define TPI_FFCR_TrigIn_Msk                (0x1UL << TPI_FFCR_TrigIn_Pos)              /*!< TPI FFCR: TrigIn Mask */
 
-#define TPI_FFCR_EnFCont_Pos                1                                          /*!< TPI FFCR: EnFCont Position */
+#define TPI_FFCR_EnFCont_Pos                1U                                         /*!< TPI FFCR: EnFCont Position */
 #define TPI_FFCR_EnFCont_Msk               (0x1UL << TPI_FFCR_EnFCont_Pos)             /*!< TPI FFCR: EnFCont Mask */
 
 /* TPI TRIGGER Register Definitions */
-#define TPI_TRIGGER_TRIGGER_Pos             0                                          /*!< TPI TRIGGER: TRIGGER Position */
+#define TPI_TRIGGER_TRIGGER_Pos             0U                                         /*!< TPI TRIGGER: TRIGGER Position */
 #define TPI_TRIGGER_TRIGGER_Msk            (0x1UL /*<< TPI_TRIGGER_TRIGGER_Pos*/)      /*!< TPI TRIGGER: TRIGGER Mask */
 
 /* TPI Integration ETM Data Register Definitions (FIFO0) */
-#define TPI_FIFO0_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO0: ITM_ATVALID Position */
+#define TPI_FIFO0_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO0: ITM_ATVALID Position */
 #define TPI_FIFO0_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ITM_ATVALID_Pos)        /*!< TPI FIFO0: ITM_ATVALID Mask */
 
-#define TPI_FIFO0_ITM_bytecount_Pos        27                                          /*!< TPI FIFO0: ITM_bytecount Position */
+#define TPI_FIFO0_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO0: ITM_bytecount Position */
 #define TPI_FIFO0_ITM_bytecount_Msk        (0x3UL << TPI_FIFO0_ITM_bytecount_Pos)      /*!< TPI FIFO0: ITM_bytecount Mask */
 
-#define TPI_FIFO0_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO0: ETM_ATVALID Position */
+#define TPI_FIFO0_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO0: ETM_ATVALID Position */
 #define TPI_FIFO0_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ETM_ATVALID_Pos)        /*!< TPI FIFO0: ETM_ATVALID Mask */
 
-#define TPI_FIFO0_ETM_bytecount_Pos        24                                          /*!< TPI FIFO0: ETM_bytecount Position */
+#define TPI_FIFO0_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO0: ETM_bytecount Position */
 #define TPI_FIFO0_ETM_bytecount_Msk        (0x3UL << TPI_FIFO0_ETM_bytecount_Pos)      /*!< TPI FIFO0: ETM_bytecount Mask */
 
-#define TPI_FIFO0_ETM2_Pos                 16                                          /*!< TPI FIFO0: ETM2 Position */
+#define TPI_FIFO0_ETM2_Pos                 16U                                         /*!< TPI FIFO0: ETM2 Position */
 #define TPI_FIFO0_ETM2_Msk                 (0xFFUL << TPI_FIFO0_ETM2_Pos)              /*!< TPI FIFO0: ETM2 Mask */
 
-#define TPI_FIFO0_ETM1_Pos                  8                                          /*!< TPI FIFO0: ETM1 Position */
+#define TPI_FIFO0_ETM1_Pos                  8U                                         /*!< TPI FIFO0: ETM1 Position */
 #define TPI_FIFO0_ETM1_Msk                 (0xFFUL << TPI_FIFO0_ETM1_Pos)              /*!< TPI FIFO0: ETM1 Mask */
 
-#define TPI_FIFO0_ETM0_Pos                  0                                          /*!< TPI FIFO0: ETM0 Position */
+#define TPI_FIFO0_ETM0_Pos                  0U                                         /*!< TPI FIFO0: ETM0 Position */
 #define TPI_FIFO0_ETM0_Msk                 (0xFFUL /*<< TPI_FIFO0_ETM0_Pos*/)          /*!< TPI FIFO0: ETM0 Mask */
 
 /* TPI ITATBCTR2 Register Definitions */
-#define TPI_ITATBCTR2_ATREADY_Pos           0                                          /*!< TPI ITATBCTR2: ATREADY Position */
-#define TPI_ITATBCTR2_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR2_ATREADY_Pos*/)    /*!< TPI ITATBCTR2: ATREADY Mask */
+#define TPI_ITATBCTR2_ATREADY2_Pos          0U                                         /*!< TPI ITATBCTR2: ATREADY2 Position */
+#define TPI_ITATBCTR2_ATREADY2_Msk         (0x1UL /*<< TPI_ITATBCTR2_ATREADY2_Pos*/)   /*!< TPI ITATBCTR2: ATREADY2 Mask */
+
+#define TPI_ITATBCTR2_ATREADY1_Pos          0U                                         /*!< TPI ITATBCTR2: ATREADY1 Position */
+#define TPI_ITATBCTR2_ATREADY1_Msk         (0x1UL /*<< TPI_ITATBCTR2_ATREADY1_Pos*/)   /*!< TPI ITATBCTR2: ATREADY1 Mask */
 
 /* TPI Integration ITM Data Register Definitions (FIFO1) */
-#define TPI_FIFO1_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO1: ITM_ATVALID Position */
+#define TPI_FIFO1_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO1: ITM_ATVALID Position */
 #define TPI_FIFO1_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ITM_ATVALID_Pos)        /*!< TPI FIFO1: ITM_ATVALID Mask */
 
-#define TPI_FIFO1_ITM_bytecount_Pos        27                                          /*!< TPI FIFO1: ITM_bytecount Position */
+#define TPI_FIFO1_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO1: ITM_bytecount Position */
 #define TPI_FIFO1_ITM_bytecount_Msk        (0x3UL << TPI_FIFO1_ITM_bytecount_Pos)      /*!< TPI FIFO1: ITM_bytecount Mask */
 
-#define TPI_FIFO1_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO1: ETM_ATVALID Position */
+#define TPI_FIFO1_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO1: ETM_ATVALID Position */
 #define TPI_FIFO1_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ETM_ATVALID_Pos)        /*!< TPI FIFO1: ETM_ATVALID Mask */
 
-#define TPI_FIFO1_ETM_bytecount_Pos        24                                          /*!< TPI FIFO1: ETM_bytecount Position */
+#define TPI_FIFO1_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO1: ETM_bytecount Position */
 #define TPI_FIFO1_ETM_bytecount_Msk        (0x3UL << TPI_FIFO1_ETM_bytecount_Pos)      /*!< TPI FIFO1: ETM_bytecount Mask */
 
-#define TPI_FIFO1_ITM2_Pos                 16                                          /*!< TPI FIFO1: ITM2 Position */
+#define TPI_FIFO1_ITM2_Pos                 16U                                         /*!< TPI FIFO1: ITM2 Position */
 #define TPI_FIFO1_ITM2_Msk                 (0xFFUL << TPI_FIFO1_ITM2_Pos)              /*!< TPI FIFO1: ITM2 Mask */
 
-#define TPI_FIFO1_ITM1_Pos                  8                                          /*!< TPI FIFO1: ITM1 Position */
+#define TPI_FIFO1_ITM1_Pos                  8U                                         /*!< TPI FIFO1: ITM1 Position */
 #define TPI_FIFO1_ITM1_Msk                 (0xFFUL << TPI_FIFO1_ITM1_Pos)              /*!< TPI FIFO1: ITM1 Mask */
 
-#define TPI_FIFO1_ITM0_Pos                  0                                          /*!< TPI FIFO1: ITM0 Position */
+#define TPI_FIFO1_ITM0_Pos                  0U                                         /*!< TPI FIFO1: ITM0 Position */
 #define TPI_FIFO1_ITM0_Msk                 (0xFFUL /*<< TPI_FIFO1_ITM0_Pos*/)          /*!< TPI FIFO1: ITM0 Mask */
 
 /* TPI ITATBCTR0 Register Definitions */
-#define TPI_ITATBCTR0_ATREADY_Pos           0                                          /*!< TPI ITATBCTR0: ATREADY Position */
-#define TPI_ITATBCTR0_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR0_ATREADY_Pos*/)    /*!< TPI ITATBCTR0: ATREADY Mask */
+#define TPI_ITATBCTR0_ATREADY2_Pos          0U                                         /*!< TPI ITATBCTR0: ATREADY2 Position */
+#define TPI_ITATBCTR0_ATREADY2_Msk         (0x1UL /*<< TPI_ITATBCTR0_ATREADY2_Pos*/)   /*!< TPI ITATBCTR0: ATREADY2 Mask */
+
+#define TPI_ITATBCTR0_ATREADY1_Pos          0U                                         /*!< TPI ITATBCTR0: ATREADY1 Position */
+#define TPI_ITATBCTR0_ATREADY1_Msk         (0x1UL /*<< TPI_ITATBCTR0_ATREADY1_Pos*/)   /*!< TPI ITATBCTR0: ATREADY1 Mask */
 
 /* TPI Integration Mode Control Register Definitions */
-#define TPI_ITCTRL_Mode_Pos                 0                                          /*!< TPI ITCTRL: Mode Position */
-#define TPI_ITCTRL_Mode_Msk                (0x1UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
+#define TPI_ITCTRL_Mode_Pos                 0U                                         /*!< TPI ITCTRL: Mode Position */
+#define TPI_ITCTRL_Mode_Msk                (0x3UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
 
 /* TPI DEVID Register Definitions */
-#define TPI_DEVID_NRZVALID_Pos             11                                          /*!< TPI DEVID: NRZVALID Position */
+#define TPI_DEVID_NRZVALID_Pos             11U                                         /*!< TPI DEVID: NRZVALID Position */
 #define TPI_DEVID_NRZVALID_Msk             (0x1UL << TPI_DEVID_NRZVALID_Pos)           /*!< TPI DEVID: NRZVALID Mask */
 
-#define TPI_DEVID_MANCVALID_Pos            10                                          /*!< TPI DEVID: MANCVALID Position */
+#define TPI_DEVID_MANCVALID_Pos            10U                                         /*!< TPI DEVID: MANCVALID Position */
 #define TPI_DEVID_MANCVALID_Msk            (0x1UL << TPI_DEVID_MANCVALID_Pos)          /*!< TPI DEVID: MANCVALID Mask */
 
-#define TPI_DEVID_PTINVALID_Pos             9                                          /*!< TPI DEVID: PTINVALID Position */
+#define TPI_DEVID_PTINVALID_Pos             9U                                         /*!< TPI DEVID: PTINVALID Position */
 #define TPI_DEVID_PTINVALID_Msk            (0x1UL << TPI_DEVID_PTINVALID_Pos)          /*!< TPI DEVID: PTINVALID Mask */
 
-#define TPI_DEVID_MinBufSz_Pos              6                                          /*!< TPI DEVID: MinBufSz Position */
+#define TPI_DEVID_MinBufSz_Pos              6U                                         /*!< TPI DEVID: MinBufSz Position */
 #define TPI_DEVID_MinBufSz_Msk             (0x7UL << TPI_DEVID_MinBufSz_Pos)           /*!< TPI DEVID: MinBufSz Mask */
 
-#define TPI_DEVID_AsynClkIn_Pos             5                                          /*!< TPI DEVID: AsynClkIn Position */
+#define TPI_DEVID_AsynClkIn_Pos             5U                                         /*!< TPI DEVID: AsynClkIn Position */
 #define TPI_DEVID_AsynClkIn_Msk            (0x1UL << TPI_DEVID_AsynClkIn_Pos)          /*!< TPI DEVID: AsynClkIn Mask */
 
-#define TPI_DEVID_NrTraceInput_Pos          0                                          /*!< TPI DEVID: NrTraceInput Position */
+#define TPI_DEVID_NrTraceInput_Pos          0U                                         /*!< TPI DEVID: NrTraceInput Position */
 #define TPI_DEVID_NrTraceInput_Msk         (0x1FUL /*<< TPI_DEVID_NrTraceInput_Pos*/)  /*!< TPI DEVID: NrTraceInput Mask */
 
 /* TPI DEVTYPE Register Definitions */
-#define TPI_DEVTYPE_MajorType_Pos           4                                          /*!< TPI DEVTYPE: MajorType Position */
-#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
-
-#define TPI_DEVTYPE_SubType_Pos             0                                          /*!< TPI DEVTYPE: SubType Position */
+#define TPI_DEVTYPE_SubType_Pos             4U                                         /*!< TPI DEVTYPE: SubType Position */
 #define TPI_DEVTYPE_SubType_Msk            (0xFUL /*<< TPI_DEVTYPE_SubType_Pos*/)      /*!< TPI DEVTYPE: SubType Mask */
 
+#define TPI_DEVTYPE_MajorType_Pos           0U                                         /*!< TPI DEVTYPE: MajorType Position */
+#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
+
 /*@}*/ /* end of group CMSIS_TPI */
 
 
-#if (__MPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
-    \brief      Type definitions for the Memory Protection Unit (MPU)
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
   @{
  */
 
-/** \brief  Structure type to access the Memory Protection Unit (MPU).
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
  */
 typedef struct
 {
-  __I  uint32_t TYPE;                    /*!< Offset: 0x000 (R/ )  MPU Type Register                              */
-  __IO uint32_t CTRL;                    /*!< Offset: 0x004 (R/W)  MPU Control Register                           */
-  __IO uint32_t RNR;                     /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register                     */
-  __IO uint32_t RBAR;                    /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register               */
-  __IO uint32_t RASR;                    /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register         */
-  __IO uint32_t RBAR_A1;                 /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register       */
-  __IO uint32_t RASR_A1;                 /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A2;                 /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register       */
-  __IO uint32_t RASR_A2;                 /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A3;                 /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register       */
-  __IO uint32_t RASR_A3;                 /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A1;                /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register */
+  __IOM uint32_t RASR_A1;                /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A2;                /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register */
+  __IOM uint32_t RASR_A2;                /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A3;                /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register */
+  __IOM uint32_t RASR_A3;                /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
 } MPU_Type;
 
-/* MPU Type Register */
-#define MPU_TYPE_IREGION_Pos               16                                             /*!< MPU TYPE: IREGION Position */
+#define MPU_TYPE_RALIASES                  4U
+
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
 #define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
 
-#define MPU_TYPE_DREGION_Pos                8                                             /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
 #define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
 
-#define MPU_TYPE_SEPARATE_Pos               0                                             /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
 #define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
 
-/* MPU Control Register */
-#define MPU_CTRL_PRIVDEFENA_Pos             2                                             /*!< MPU CTRL: PRIVDEFENA Position */
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
 #define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
 
-#define MPU_CTRL_HFNMIENA_Pos               1                                             /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
 #define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
 
-#define MPU_CTRL_ENABLE_Pos                 0                                             /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
 #define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
 
-/* MPU Region Number Register */
-#define MPU_RNR_REGION_Pos                  0                                             /*!< MPU RNR: REGION Position */
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
 #define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
 
-/* MPU Region Base Address Register */
-#define MPU_RBAR_ADDR_Pos                   5                                             /*!< MPU RBAR: ADDR Position */
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   5U                                            /*!< MPU RBAR: ADDR Position */
 #define MPU_RBAR_ADDR_Msk                  (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos)             /*!< MPU RBAR: ADDR Mask */
 
-#define MPU_RBAR_VALID_Pos                  4                                             /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
 #define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
 
-#define MPU_RBAR_REGION_Pos                 0                                             /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
 #define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
 
-/* MPU Region Attribute and Size Register */
-#define MPU_RASR_ATTRS_Pos                 16                                             /*!< MPU RASR: MPU Region Attribute field Position */
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
 #define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
 
-#define MPU_RASR_XN_Pos                    28                                             /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
 #define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
 
-#define MPU_RASR_AP_Pos                    24                                             /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
 #define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
 
-#define MPU_RASR_TEX_Pos                   19                                             /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
 #define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
 
-#define MPU_RASR_S_Pos                     18                                             /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
 #define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
 
-#define MPU_RASR_C_Pos                     17                                             /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
 #define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
 
-#define MPU_RASR_B_Pos                     16                                             /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
 #define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
 
-#define MPU_RASR_SRD_Pos                    8                                             /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
 #define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
 
-#define MPU_RASR_SIZE_Pos                   1                                             /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
 #define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
 
-#define MPU_RASR_ENABLE_Pos                 0                                             /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
 #define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
 
 /*@} end of group CMSIS_MPU */
-#endif
+#endif /* defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U) */
 
 
-#if (__FPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_FPU     Floating Point Unit (FPU)
-    \brief      Type definitions for the Floating Point Unit (FPU)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_FPU     Floating Point Unit (FPU)
+  \brief    Type definitions for the Floating Point Unit (FPU)
   @{
  */
 
-/** \brief  Structure type to access the Floating Point Unit (FPU).
+/**
+  \brief  Structure type to access the Floating Point Unit (FPU).
  */
 typedef struct
 {
-       uint32_t RESERVED0[1];
-  __IO uint32_t FPCCR;                   /*!< Offset: 0x004 (R/W)  Floating-Point Context Control Register               */
-  __IO uint32_t FPCAR;                   /*!< Offset: 0x008 (R/W)  Floating-Point Context Address Register               */
-  __IO uint32_t FPDSCR;                  /*!< Offset: 0x00C (R/W)  Floating-Point Default Status Control Register        */
-  __I  uint32_t MVFR0;                   /*!< Offset: 0x010 (R/ )  Media and FP Feature Register 0                       */
-  __I  uint32_t MVFR1;                   /*!< Offset: 0x014 (R/ )  Media and FP Feature Register 1                       */
-  __I  uint32_t MVFR2;                   /*!< Offset: 0x018 (R/ )  Media and FP Feature Register 2                       */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t FPCCR;                  /*!< Offset: 0x004 (R/W)  Floating-Point Context Control Register */
+  __IOM uint32_t FPCAR;                  /*!< Offset: 0x008 (R/W)  Floating-Point Context Address Register */
+  __IOM uint32_t FPDSCR;                 /*!< Offset: 0x00C (R/W)  Floating-Point Default Status Control Register */
+  __IM  uint32_t MVFR0;                  /*!< Offset: 0x010 (R/ )  Media and FP Feature Register 0 */
+  __IM  uint32_t MVFR1;                  /*!< Offset: 0x014 (R/ )  Media and FP Feature Register 1 */
+  __IM  uint32_t MVFR2;                  /*!< Offset: 0x018 (R/ )  Media and FP Feature Register 2 */
 } FPU_Type;
 
-/* Floating-Point Context Control Register */
-#define FPU_FPCCR_ASPEN_Pos                31                                             /*!< FPCCR: ASPEN bit Position */
+/* Floating-Point Context Control Register Definitions */
+#define FPU_FPCCR_ASPEN_Pos                31U                                            /*!< FPCCR: ASPEN bit Position */
 #define FPU_FPCCR_ASPEN_Msk                (1UL << FPU_FPCCR_ASPEN_Pos)                   /*!< FPCCR: ASPEN bit Mask */
 
-#define FPU_FPCCR_LSPEN_Pos                30                                             /*!< FPCCR: LSPEN Position */
+#define FPU_FPCCR_LSPEN_Pos                30U                                            /*!< FPCCR: LSPEN Position */
 #define FPU_FPCCR_LSPEN_Msk                (1UL << FPU_FPCCR_LSPEN_Pos)                   /*!< FPCCR: LSPEN bit Mask */
 
-#define FPU_FPCCR_MONRDY_Pos                8                                             /*!< FPCCR: MONRDY Position */
+#define FPU_FPCCR_MONRDY_Pos                8U                                            /*!< FPCCR: MONRDY Position */
 #define FPU_FPCCR_MONRDY_Msk               (1UL << FPU_FPCCR_MONRDY_Pos)                  /*!< FPCCR: MONRDY bit Mask */
 
-#define FPU_FPCCR_BFRDY_Pos                 6                                             /*!< FPCCR: BFRDY Position */
+#define FPU_FPCCR_BFRDY_Pos                 6U                                            /*!< FPCCR: BFRDY Position */
 #define FPU_FPCCR_BFRDY_Msk                (1UL << FPU_FPCCR_BFRDY_Pos)                   /*!< FPCCR: BFRDY bit Mask */
 
-#define FPU_FPCCR_MMRDY_Pos                 5                                             /*!< FPCCR: MMRDY Position */
+#define FPU_FPCCR_MMRDY_Pos                 5U                                            /*!< FPCCR: MMRDY Position */
 #define FPU_FPCCR_MMRDY_Msk                (1UL << FPU_FPCCR_MMRDY_Pos)                   /*!< FPCCR: MMRDY bit Mask */
 
-#define FPU_FPCCR_HFRDY_Pos                 4                                             /*!< FPCCR: HFRDY Position */
+#define FPU_FPCCR_HFRDY_Pos                 4U                                            /*!< FPCCR: HFRDY Position */
 #define FPU_FPCCR_HFRDY_Msk                (1UL << FPU_FPCCR_HFRDY_Pos)                   /*!< FPCCR: HFRDY bit Mask */
 
-#define FPU_FPCCR_THREAD_Pos                3                                             /*!< FPCCR: processor mode bit Position */
+#define FPU_FPCCR_THREAD_Pos                3U                                            /*!< FPCCR: processor mode bit Position */
 #define FPU_FPCCR_THREAD_Msk               (1UL << FPU_FPCCR_THREAD_Pos)                  /*!< FPCCR: processor mode active bit Mask */
 
-#define FPU_FPCCR_USER_Pos                  1                                             /*!< FPCCR: privilege level bit Position */
+#define FPU_FPCCR_USER_Pos                  1U                                            /*!< FPCCR: privilege level bit Position */
 #define FPU_FPCCR_USER_Msk                 (1UL << FPU_FPCCR_USER_Pos)                    /*!< FPCCR: privilege level bit Mask */
 
-#define FPU_FPCCR_LSPACT_Pos                0                                             /*!< FPCCR: Lazy state preservation active bit Position */
+#define FPU_FPCCR_LSPACT_Pos                0U                                            /*!< FPCCR: Lazy state preservation active bit Position */
 #define FPU_FPCCR_LSPACT_Msk               (1UL /*<< FPU_FPCCR_LSPACT_Pos*/)              /*!< FPCCR: Lazy state preservation active bit Mask */
 
-/* Floating-Point Context Address Register */
-#define FPU_FPCAR_ADDRESS_Pos               3                                             /*!< FPCAR: ADDRESS bit Position */
+/* Floating-Point Context Address Register Definitions */
+#define FPU_FPCAR_ADDRESS_Pos               3U                                            /*!< FPCAR: ADDRESS bit Position */
 #define FPU_FPCAR_ADDRESS_Msk              (0x1FFFFFFFUL << FPU_FPCAR_ADDRESS_Pos)        /*!< FPCAR: ADDRESS bit Mask */
 
-/* Floating-Point Default Status Control Register */
-#define FPU_FPDSCR_AHP_Pos                 26                                             /*!< FPDSCR: AHP bit Position */
+/* Floating-Point Default Status Control Register Definitions */
+#define FPU_FPDSCR_AHP_Pos                 26U                                            /*!< FPDSCR: AHP bit Position */
 #define FPU_FPDSCR_AHP_Msk                 (1UL << FPU_FPDSCR_AHP_Pos)                    /*!< FPDSCR: AHP bit Mask */
 
-#define FPU_FPDSCR_DN_Pos                  25                                             /*!< FPDSCR: DN bit Position */
+#define FPU_FPDSCR_DN_Pos                  25U                                            /*!< FPDSCR: DN bit Position */
 #define FPU_FPDSCR_DN_Msk                  (1UL << FPU_FPDSCR_DN_Pos)                     /*!< FPDSCR: DN bit Mask */
 
-#define FPU_FPDSCR_FZ_Pos                  24                                             /*!< FPDSCR: FZ bit Position */
+#define FPU_FPDSCR_FZ_Pos                  24U                                            /*!< FPDSCR: FZ bit Position */
 #define FPU_FPDSCR_FZ_Msk                  (1UL << FPU_FPDSCR_FZ_Pos)                     /*!< FPDSCR: FZ bit Mask */
 
-#define FPU_FPDSCR_RMode_Pos               22                                             /*!< FPDSCR: RMode bit Position */
+#define FPU_FPDSCR_RMode_Pos               22U                                            /*!< FPDSCR: RMode bit Position */
 #define FPU_FPDSCR_RMode_Msk               (3UL << FPU_FPDSCR_RMode_Pos)                  /*!< FPDSCR: RMode bit Mask */
 
-/* Media and FP Feature Register 0 */
-#define FPU_MVFR0_FP_rounding_modes_Pos    28                                             /*!< MVFR0: FP rounding modes bits Position */
+/* Media and FP Feature Register 0 Definitions */
+#define FPU_MVFR0_FP_rounding_modes_Pos    28U                                            /*!< MVFR0: FP rounding modes bits Position */
 #define FPU_MVFR0_FP_rounding_modes_Msk    (0xFUL << FPU_MVFR0_FP_rounding_modes_Pos)     /*!< MVFR0: FP rounding modes bits Mask */
 
-#define FPU_MVFR0_Short_vectors_Pos        24                                             /*!< MVFR0: Short vectors bits Position */
+#define FPU_MVFR0_Short_vectors_Pos        24U                                            /*!< MVFR0: Short vectors bits Position */
 #define FPU_MVFR0_Short_vectors_Msk        (0xFUL << FPU_MVFR0_Short_vectors_Pos)         /*!< MVFR0: Short vectors bits Mask */
 
-#define FPU_MVFR0_Square_root_Pos          20                                             /*!< MVFR0: Square root bits Position */
+#define FPU_MVFR0_Square_root_Pos          20U                                            /*!< MVFR0: Square root bits Position */
 #define FPU_MVFR0_Square_root_Msk          (0xFUL << FPU_MVFR0_Square_root_Pos)           /*!< MVFR0: Square root bits Mask */
 
-#define FPU_MVFR0_Divide_Pos               16                                             /*!< MVFR0: Divide bits Position */
+#define FPU_MVFR0_Divide_Pos               16U                                            /*!< MVFR0: Divide bits Position */
 #define FPU_MVFR0_Divide_Msk               (0xFUL << FPU_MVFR0_Divide_Pos)                /*!< MVFR0: Divide bits Mask */
 
-#define FPU_MVFR0_FP_excep_trapping_Pos    12                                             /*!< MVFR0: FP exception trapping bits Position */
+#define FPU_MVFR0_FP_excep_trapping_Pos    12U                                            /*!< MVFR0: FP exception trapping bits Position */
 #define FPU_MVFR0_FP_excep_trapping_Msk    (0xFUL << FPU_MVFR0_FP_excep_trapping_Pos)     /*!< MVFR0: FP exception trapping bits Mask */
 
-#define FPU_MVFR0_Double_precision_Pos      8                                             /*!< MVFR0: Double-precision bits Position */
+#define FPU_MVFR0_Double_precision_Pos      8U                                            /*!< MVFR0: Double-precision bits Position */
 #define FPU_MVFR0_Double_precision_Msk     (0xFUL << FPU_MVFR0_Double_precision_Pos)      /*!< MVFR0: Double-precision bits Mask */
 
-#define FPU_MVFR0_Single_precision_Pos      4                                             /*!< MVFR0: Single-precision bits Position */
+#define FPU_MVFR0_Single_precision_Pos      4U                                            /*!< MVFR0: Single-precision bits Position */
 #define FPU_MVFR0_Single_precision_Msk     (0xFUL << FPU_MVFR0_Single_precision_Pos)      /*!< MVFR0: Single-precision bits Mask */
 
-#define FPU_MVFR0_A_SIMD_registers_Pos      0                                             /*!< MVFR0: A_SIMD registers bits Position */
+#define FPU_MVFR0_A_SIMD_registers_Pos      0U                                            /*!< MVFR0: A_SIMD registers bits Position */
 #define FPU_MVFR0_A_SIMD_registers_Msk     (0xFUL /*<< FPU_MVFR0_A_SIMD_registers_Pos*/)  /*!< MVFR0: A_SIMD registers bits Mask */
 
-/* Media and FP Feature Register 1 */
-#define FPU_MVFR1_FP_fused_MAC_Pos         28                                             /*!< MVFR1: FP fused MAC bits Position */
+/* Media and FP Feature Register 1 Definitions */
+#define FPU_MVFR1_FP_fused_MAC_Pos         28U                                            /*!< MVFR1: FP fused MAC bits Position */
 #define FPU_MVFR1_FP_fused_MAC_Msk         (0xFUL << FPU_MVFR1_FP_fused_MAC_Pos)          /*!< MVFR1: FP fused MAC bits Mask */
 
-#define FPU_MVFR1_FP_HPFP_Pos              24                                             /*!< MVFR1: FP HPFP bits Position */
+#define FPU_MVFR1_FP_HPFP_Pos              24U                                            /*!< MVFR1: FP HPFP bits Position */
 #define FPU_MVFR1_FP_HPFP_Msk              (0xFUL << FPU_MVFR1_FP_HPFP_Pos)               /*!< MVFR1: FP HPFP bits Mask */
 
-#define FPU_MVFR1_D_NaN_mode_Pos            4                                             /*!< MVFR1: D_NaN mode bits Position */
+#define FPU_MVFR1_D_NaN_mode_Pos            4U                                            /*!< MVFR1: D_NaN mode bits Position */
 #define FPU_MVFR1_D_NaN_mode_Msk           (0xFUL << FPU_MVFR1_D_NaN_mode_Pos)            /*!< MVFR1: D_NaN mode bits Mask */
 
-#define FPU_MVFR1_FtZ_mode_Pos              0                                             /*!< MVFR1: FtZ mode bits Position */
+#define FPU_MVFR1_FtZ_mode_Pos              0U                                            /*!< MVFR1: FtZ mode bits Position */
 #define FPU_MVFR1_FtZ_mode_Msk             (0xFUL /*<< FPU_MVFR1_FtZ_mode_Pos*/)          /*!< MVFR1: FtZ mode bits Mask */
 
-/* Media and FP Feature Register 2 */
+/* Media and FP Feature Register 2 Definitions */
 
 /*@} end of group CMSIS_FPU */
-#endif
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
-    \brief      Type definitions for the Core Debug Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Type definitions for the Core Debug Registers
   @{
  */
 
-/** \brief  Structure type to access the Core Debug Register (CoreDebug).
+/**
+  \brief  Structure type to access the Core Debug Register (CoreDebug).
  */
 typedef struct
 {
-  __IO uint32_t DHCSR;                   /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register    */
-  __O  uint32_t DCRSR;                   /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register        */
-  __IO uint32_t DCRDR;                   /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register            */
-  __IO uint32_t DEMCR;                   /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
+  __IOM uint32_t DHCSR;                  /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register */
+  __OM  uint32_t DCRSR;                  /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register */
+  __IOM uint32_t DCRDR;                  /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register */
+  __IOM uint32_t DEMCR;                  /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
 } CoreDebug_Type;
 
-/* Debug Halting Control and Status Register */
-#define CoreDebug_DHCSR_DBGKEY_Pos         16                                             /*!< CoreDebug DHCSR: DBGKEY Position */
+/* Debug Halting Control and Status Register Definitions */
+#define CoreDebug_DHCSR_DBGKEY_Pos         16U                                            /*!< CoreDebug DHCSR: DBGKEY Position */
 #define CoreDebug_DHCSR_DBGKEY_Msk         (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos)       /*!< CoreDebug DHCSR: DBGKEY Mask */
 
-#define CoreDebug_DHCSR_S_RESET_ST_Pos     25                                             /*!< CoreDebug DHCSR: S_RESET_ST Position */
+#define CoreDebug_DHCSR_S_RESET_ST_Pos     25U                                            /*!< CoreDebug DHCSR: S_RESET_ST Position */
 #define CoreDebug_DHCSR_S_RESET_ST_Msk     (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos)        /*!< CoreDebug DHCSR: S_RESET_ST Mask */
 
-#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24                                             /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
+#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24U                                            /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
 #define CoreDebug_DHCSR_S_RETIRE_ST_Msk    (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos)       /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */
 
-#define CoreDebug_DHCSR_S_LOCKUP_Pos       19                                             /*!< CoreDebug DHCSR: S_LOCKUP Position */
+#define CoreDebug_DHCSR_S_LOCKUP_Pos       19U                                            /*!< CoreDebug DHCSR: S_LOCKUP Position */
 #define CoreDebug_DHCSR_S_LOCKUP_Msk       (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos)          /*!< CoreDebug DHCSR: S_LOCKUP Mask */
 
-#define CoreDebug_DHCSR_S_SLEEP_Pos        18                                             /*!< CoreDebug DHCSR: S_SLEEP Position */
+#define CoreDebug_DHCSR_S_SLEEP_Pos        18U                                            /*!< CoreDebug DHCSR: S_SLEEP Position */
 #define CoreDebug_DHCSR_S_SLEEP_Msk        (1UL << CoreDebug_DHCSR_S_SLEEP_Pos)           /*!< CoreDebug DHCSR: S_SLEEP Mask */
 
-#define CoreDebug_DHCSR_S_HALT_Pos         17                                             /*!< CoreDebug DHCSR: S_HALT Position */
+#define CoreDebug_DHCSR_S_HALT_Pos         17U                                            /*!< CoreDebug DHCSR: S_HALT Position */
 #define CoreDebug_DHCSR_S_HALT_Msk         (1UL << CoreDebug_DHCSR_S_HALT_Pos)            /*!< CoreDebug DHCSR: S_HALT Mask */
 
-#define CoreDebug_DHCSR_S_REGRDY_Pos       16                                             /*!< CoreDebug DHCSR: S_REGRDY Position */
+#define CoreDebug_DHCSR_S_REGRDY_Pos       16U                                            /*!< CoreDebug DHCSR: S_REGRDY Position */
 #define CoreDebug_DHCSR_S_REGRDY_Msk       (1UL << CoreDebug_DHCSR_S_REGRDY_Pos)          /*!< CoreDebug DHCSR: S_REGRDY Mask */
 
-#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5                                             /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
+#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5U                                            /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
 #define CoreDebug_DHCSR_C_SNAPSTALL_Msk    (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos)       /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */
 
-#define CoreDebug_DHCSR_C_MASKINTS_Pos      3                                             /*!< CoreDebug DHCSR: C_MASKINTS Position */
+#define CoreDebug_DHCSR_C_MASKINTS_Pos      3U                                            /*!< CoreDebug DHCSR: C_MASKINTS Position */
 #define CoreDebug_DHCSR_C_MASKINTS_Msk     (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos)        /*!< CoreDebug DHCSR: C_MASKINTS Mask */
 
-#define CoreDebug_DHCSR_C_STEP_Pos          2                                             /*!< CoreDebug DHCSR: C_STEP Position */
+#define CoreDebug_DHCSR_C_STEP_Pos          2U                                            /*!< CoreDebug DHCSR: C_STEP Position */
 #define CoreDebug_DHCSR_C_STEP_Msk         (1UL << CoreDebug_DHCSR_C_STEP_Pos)            /*!< CoreDebug DHCSR: C_STEP Mask */
 
-#define CoreDebug_DHCSR_C_HALT_Pos          1                                             /*!< CoreDebug DHCSR: C_HALT Position */
+#define CoreDebug_DHCSR_C_HALT_Pos          1U                                            /*!< CoreDebug DHCSR: C_HALT Position */
 #define CoreDebug_DHCSR_C_HALT_Msk         (1UL << CoreDebug_DHCSR_C_HALT_Pos)            /*!< CoreDebug DHCSR: C_HALT Mask */
 
-#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0                                             /*!< CoreDebug DHCSR: C_DEBUGEN Position */
+#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0U                                            /*!< CoreDebug DHCSR: C_DEBUGEN Position */
 #define CoreDebug_DHCSR_C_DEBUGEN_Msk      (1UL /*<< CoreDebug_DHCSR_C_DEBUGEN_Pos*/)     /*!< CoreDebug DHCSR: C_DEBUGEN Mask */
 
-/* Debug Core Register Selector Register */
-#define CoreDebug_DCRSR_REGWnR_Pos         16                                             /*!< CoreDebug DCRSR: REGWnR Position */
+/* Debug Core Register Selector Register Definitions */
+#define CoreDebug_DCRSR_REGWnR_Pos         16U                                            /*!< CoreDebug DCRSR: REGWnR Position */
 #define CoreDebug_DCRSR_REGWnR_Msk         (1UL << CoreDebug_DCRSR_REGWnR_Pos)            /*!< CoreDebug DCRSR: REGWnR Mask */
 
-#define CoreDebug_DCRSR_REGSEL_Pos          0                                             /*!< CoreDebug DCRSR: REGSEL Position */
+#define CoreDebug_DCRSR_REGSEL_Pos          0U                                            /*!< CoreDebug DCRSR: REGSEL Position */
 #define CoreDebug_DCRSR_REGSEL_Msk         (0x1FUL /*<< CoreDebug_DCRSR_REGSEL_Pos*/)     /*!< CoreDebug DCRSR: REGSEL Mask */
 
-/* Debug Exception and Monitor Control Register */
-#define CoreDebug_DEMCR_TRCENA_Pos         24                                             /*!< CoreDebug DEMCR: TRCENA Position */
+/* Debug Exception and Monitor Control Register Definitions */
+#define CoreDebug_DEMCR_TRCENA_Pos         24U                                            /*!< CoreDebug DEMCR: TRCENA Position */
 #define CoreDebug_DEMCR_TRCENA_Msk         (1UL << CoreDebug_DEMCR_TRCENA_Pos)            /*!< CoreDebug DEMCR: TRCENA Mask */
 
-#define CoreDebug_DEMCR_MON_REQ_Pos        19                                             /*!< CoreDebug DEMCR: MON_REQ Position */
+#define CoreDebug_DEMCR_MON_REQ_Pos        19U                                            /*!< CoreDebug DEMCR: MON_REQ Position */
 #define CoreDebug_DEMCR_MON_REQ_Msk        (1UL << CoreDebug_DEMCR_MON_REQ_Pos)           /*!< CoreDebug DEMCR: MON_REQ Mask */
 
-#define CoreDebug_DEMCR_MON_STEP_Pos       18                                             /*!< CoreDebug DEMCR: MON_STEP Position */
+#define CoreDebug_DEMCR_MON_STEP_Pos       18U                                            /*!< CoreDebug DEMCR: MON_STEP Position */
 #define CoreDebug_DEMCR_MON_STEP_Msk       (1UL << CoreDebug_DEMCR_MON_STEP_Pos)          /*!< CoreDebug DEMCR: MON_STEP Mask */
 
-#define CoreDebug_DEMCR_MON_PEND_Pos       17                                             /*!< CoreDebug DEMCR: MON_PEND Position */
+#define CoreDebug_DEMCR_MON_PEND_Pos       17U                                            /*!< CoreDebug DEMCR: MON_PEND Position */
 #define CoreDebug_DEMCR_MON_PEND_Msk       (1UL << CoreDebug_DEMCR_MON_PEND_Pos)          /*!< CoreDebug DEMCR: MON_PEND Mask */
 
-#define CoreDebug_DEMCR_MON_EN_Pos         16                                             /*!< CoreDebug DEMCR: MON_EN Position */
+#define CoreDebug_DEMCR_MON_EN_Pos         16U                                            /*!< CoreDebug DEMCR: MON_EN Position */
 #define CoreDebug_DEMCR_MON_EN_Msk         (1UL << CoreDebug_DEMCR_MON_EN_Pos)            /*!< CoreDebug DEMCR: MON_EN Mask */
 
-#define CoreDebug_DEMCR_VC_HARDERR_Pos     10                                             /*!< CoreDebug DEMCR: VC_HARDERR Position */
+#define CoreDebug_DEMCR_VC_HARDERR_Pos     10U                                            /*!< CoreDebug DEMCR: VC_HARDERR Position */
 #define CoreDebug_DEMCR_VC_HARDERR_Msk     (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos)        /*!< CoreDebug DEMCR: VC_HARDERR Mask */
 
-#define CoreDebug_DEMCR_VC_INTERR_Pos       9                                             /*!< CoreDebug DEMCR: VC_INTERR Position */
+#define CoreDebug_DEMCR_VC_INTERR_Pos       9U                                            /*!< CoreDebug DEMCR: VC_INTERR Position */
 #define CoreDebug_DEMCR_VC_INTERR_Msk      (1UL << CoreDebug_DEMCR_VC_INTERR_Pos)         /*!< CoreDebug DEMCR: VC_INTERR Mask */
 
-#define CoreDebug_DEMCR_VC_BUSERR_Pos       8                                             /*!< CoreDebug DEMCR: VC_BUSERR Position */
+#define CoreDebug_DEMCR_VC_BUSERR_Pos       8U                                            /*!< CoreDebug DEMCR: VC_BUSERR Position */
 #define CoreDebug_DEMCR_VC_BUSERR_Msk      (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos)         /*!< CoreDebug DEMCR: VC_BUSERR Mask */
 
-#define CoreDebug_DEMCR_VC_STATERR_Pos      7                                             /*!< CoreDebug DEMCR: VC_STATERR Position */
+#define CoreDebug_DEMCR_VC_STATERR_Pos      7U                                            /*!< CoreDebug DEMCR: VC_STATERR Position */
 #define CoreDebug_DEMCR_VC_STATERR_Msk     (1UL << CoreDebug_DEMCR_VC_STATERR_Pos)        /*!< CoreDebug DEMCR: VC_STATERR Mask */
 
-#define CoreDebug_DEMCR_VC_CHKERR_Pos       6                                             /*!< CoreDebug DEMCR: VC_CHKERR Position */
+#define CoreDebug_DEMCR_VC_CHKERR_Pos       6U                                            /*!< CoreDebug DEMCR: VC_CHKERR Position */
 #define CoreDebug_DEMCR_VC_CHKERR_Msk      (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos)         /*!< CoreDebug DEMCR: VC_CHKERR Mask */
 
-#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5                                             /*!< CoreDebug DEMCR: VC_NOCPERR Position */
+#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5U                                            /*!< CoreDebug DEMCR: VC_NOCPERR Position */
 #define CoreDebug_DEMCR_VC_NOCPERR_Msk     (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos)        /*!< CoreDebug DEMCR: VC_NOCPERR Mask */
 
-#define CoreDebug_DEMCR_VC_MMERR_Pos        4                                             /*!< CoreDebug DEMCR: VC_MMERR Position */
+#define CoreDebug_DEMCR_VC_MMERR_Pos        4U                                            /*!< CoreDebug DEMCR: VC_MMERR Position */
 #define CoreDebug_DEMCR_VC_MMERR_Msk       (1UL << CoreDebug_DEMCR_VC_MMERR_Pos)          /*!< CoreDebug DEMCR: VC_MMERR Mask */
 
-#define CoreDebug_DEMCR_VC_CORERESET_Pos    0                                             /*!< CoreDebug DEMCR: VC_CORERESET Position */
+#define CoreDebug_DEMCR_VC_CORERESET_Pos    0U                                            /*!< CoreDebug DEMCR: VC_CORERESET Position */
 #define CoreDebug_DEMCR_VC_CORERESET_Msk   (1UL /*<< CoreDebug_DEMCR_VC_CORERESET_Pos*/)  /*!< CoreDebug DEMCR: VC_CORERESET Mask */
 
 /*@} end of group CMSIS_CoreDebug */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_core_base     Core Definitions
-    \brief      Definitions for base addresses, unions, and structures.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    (((uint32_t)(value) << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    (((uint32_t)(value) & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
   @{
  */
 
-/* Memory mapping of Cortex-M4 Hardware */
-#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address  */
-#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address                   */
-#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address                   */
-#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address                   */
-#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address            */
-#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address               */
-#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address                  */
-#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address  */
+/* Memory mapping of Core Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address */
+#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address */
+#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address */
+#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
 
 #define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
-#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct           */
-#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct       */
-#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct          */
-#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct           */
-#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct           */
-#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct           */
-#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct    */
-
-#if (__MPU_PRESENT == 1)
-  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit             */
-  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit             */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct */
+#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct */
+#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct */
+#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct */
+
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
 #endif
 
-#if (__FPU_PRESENT == 1)
-  #define FPU_BASE          (SCS_BASE +  0x0F30UL)                    /*!< Floating Point Unit                */
-  #define FPU               ((FPU_Type       *)     FPU_BASE      )   /*!< Floating Point Unit                */
-#endif
+#define FPU_BASE            (SCS_BASE +  0x0F30UL)                    /*!< Floating Point Unit */
+#define FPU                 ((FPU_Type       *)     FPU_BASE      )   /*!< Floating Point Unit */
 
 /*@} */
 
@@ -1677,187 +1797,276 @@ typedef struct
   - Core Debug Functions
   - Core Register Access Functions
  ******************************************************************************/
-/** \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
 */
 
 
 
 /* ##########################   NVIC functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_NVICFunctions NVIC Functions
-    \brief      Functions that manage interrupts and exceptions via the NVIC.
-    @{
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
  */
 
-/** \brief  Set Priority Grouping
+#ifdef CMSIS_NVIC_VIRTUAL
+  #ifndef CMSIS_NVIC_VIRTUAL_HEADER_FILE
+    #define CMSIS_NVIC_VIRTUAL_HEADER_FILE "cmsis_nvic_virtual.h"
+  #endif
+  #include CMSIS_NVIC_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetPriorityGrouping    __NVIC_SetPriorityGrouping
+  #define NVIC_GetPriorityGrouping    __NVIC_GetPriorityGrouping
+  #define NVIC_EnableIRQ              __NVIC_EnableIRQ
+  #define NVIC_GetEnableIRQ           __NVIC_GetEnableIRQ
+  #define NVIC_DisableIRQ             __NVIC_DisableIRQ
+  #define NVIC_GetPendingIRQ          __NVIC_GetPendingIRQ
+  #define NVIC_SetPendingIRQ          __NVIC_SetPendingIRQ
+  #define NVIC_ClearPendingIRQ        __NVIC_ClearPendingIRQ
+  #define NVIC_GetActive              __NVIC_GetActive
+  #define NVIC_SetPriority            __NVIC_SetPriority
+  #define NVIC_GetPriority            __NVIC_GetPriority
+  #define NVIC_SystemReset            __NVIC_SystemReset
+#endif /* CMSIS_NVIC_VIRTUAL */
+
+#ifdef CMSIS_VECTAB_VIRTUAL
+  #ifndef CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+    #define CMSIS_VECTAB_VIRTUAL_HEADER_FILE "cmsis_vectab_virtual.h"
+  #endif
+  #include CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetVector              __NVIC_SetVector
+  #define NVIC_GetVector              __NVIC_GetVector
+#endif  /* (CMSIS_VECTAB_VIRTUAL) */
+
+#define NVIC_USER_IRQ_OFFSET          16
+
+
+/* The following EXC_RETURN values are saved the LR on exception entry */
+#define EXC_RETURN_HANDLER         (0xFFFFFFF1UL)     /* return to Handler mode, uses MSP after return                               */
+#define EXC_RETURN_THREAD_MSP      (0xFFFFFFF9UL)     /* return to Thread mode, uses MSP after return                                */
+#define EXC_RETURN_THREAD_PSP      (0xFFFFFFFDUL)     /* return to Thread mode, uses PSP after return                                */
+#define EXC_RETURN_HANDLER_FPU     (0xFFFFFFE1UL)     /* return to Handler mode, uses MSP after return, restore floating-point state */
+#define EXC_RETURN_THREAD_MSP_FPU  (0xFFFFFFE9UL)     /* return to Thread mode, uses MSP after return, restore floating-point state  */
+#define EXC_RETURN_THREAD_PSP_FPU  (0xFFFFFFEDUL)     /* return to Thread mode, uses PSP after return, restore floating-point state  */
 
-  The function sets the priority grouping field using the required unlock sequence.
-  The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
-  Only values from 0..7 are used.
-  In case of a conflict between priority grouping and available
-  priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
 
-    \param [in]      PriorityGroup  Priority grouping field.
+/**
+  \brief   Set Priority Grouping
+  \details Sets the priority grouping field using the required unlock sequence.
+           The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
+           Only values from 0..7 are used.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]      PriorityGroup  Priority grouping field.
  */
-__STATIC_INLINE void NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
+__STATIC_INLINE void __NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
 {
   uint32_t reg_value;
   uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);             /* only values 0..7 are used          */
 
   reg_value  =  SCB->AIRCR;                                                   /* read old register configuration    */
-  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk));             /* clear bits to change               */
+  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk)); /* clear bits to change               */
   reg_value  =  (reg_value                                   |
                 ((uint32_t)0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
-                (PriorityGroupTmp << 8)                       );              /* Insert write key and priorty group */
+                (PriorityGroupTmp << SCB_AIRCR_PRIGROUP_Pos)  );              /* Insert write key and priority group */
   SCB->AIRCR =  reg_value;
 }
 
 
-/** \brief  Get Priority Grouping
-
-  The function reads the priority grouping field from the NVIC Interrupt Controller.
-
-    \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
+/**
+  \brief   Get Priority Grouping
+  \details Reads the priority grouping field from the NVIC Interrupt Controller.
+  \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
  */
-__STATIC_INLINE uint32_t NVIC_GetPriorityGrouping(void)
+__STATIC_INLINE uint32_t __NVIC_GetPriorityGrouping(void)
 {
   return ((uint32_t)((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos));
 }
 
 
-/** \brief  Enable External Interrupt
-
-    The function enables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Enable Interrupt
+  \details Enables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_EnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISER[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Disable External Interrupt
-
-    The function disables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Get Interrupt Enable status
+  \details Returns a device specific interrupt enable status from the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt is not enabled.
+  \return             1  Interrupt is enabled.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetEnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISER[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Get Pending Interrupt
-
-    The function reads the pending register in the NVIC and returns the pending bit
-    for the specified interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not pending.
-    \return             1  Interrupt status is pending.
+/**
+  \brief   Disable Interrupt
+  \details Disables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_DisableIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICER[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+    __DSB();
+    __ISB();
+  }
 }
 
 
-/** \brief  Set Pending Interrupt
-
-    The function sets the pending bit of an external interrupt.
-
-    \param [in]      IRQn  Interrupt number. Value cannot be negative.
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the NVIC pending register and returns the pending bit for the specified device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISPR[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Clear Pending Interrupt
-
-    The function clears the pending bit of an external interrupt.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_SetPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISPR[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Get Active Interrupt
-
-    The function reads the active register in NVIC and returns the active bit.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not active.
-    \return             1  Interrupt status is active.
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetActive(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_ClearPendingIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->IABR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICPR[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Set Interrupt Priority
-
-    The function sets the priority of an interrupt.
-
-    \note The priority cannot be set for every core interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-    \param [in]  priority  Priority to set.
+/**
+  \brief   Get Active Interrupt
+  \details Reads the active register in the NVIC and returns the active bit for the device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not active.
+  \return             1  Interrupt status is active.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+__STATIC_INLINE uint32_t __NVIC_GetActive(IRQn_Type IRQn)
 {
-  if((int32_t)IRQn < 0) {
-    SCB->SHPR[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->IABR[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
   }
-  else {
-    NVIC->IP[((uint32_t)(int32_t)IRQn)]                = (uint8_t)((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  else
+  {
+    return(0U);
   }
 }
 
 
-/** \brief  Get Interrupt Priority
-
-    The function reads the priority of an interrupt. The interrupt
-    number can be positive to specify an external (device specific)
-    interrupt, or negative to specify an internal (core) interrupt.
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+  \note    The priority cannot be set for every processor exception.
+ */
+__STATIC_INLINE void __NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->IP[((uint32_t)IRQn)]                = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+  else
+  {
+    SCB->SHPR[(((uint32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+}
 
 
-    \param [in]   IRQn  Interrupt number.
-    \return             Interrupt Priority. Value is aligned automatically to the implemented
-                        priority bits of the microcontroller.
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
  */
-__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPriority(IRQn_Type IRQn)
 {
 
-  if((int32_t)IRQn < 0) {
-    return(((uint32_t)SCB->SHPR[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] >> (8 - __NVIC_PRIO_BITS)));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return(((uint32_t)NVIC->IP[((uint32_t)IRQn)]                >> (8U - __NVIC_PRIO_BITS)));
   }
-  else {
-    return(((uint32_t)NVIC->IP[((uint32_t)(int32_t)IRQn)]               >> (8 - __NVIC_PRIO_BITS)));
+  else
+  {
+    return(((uint32_t)SCB->SHPR[(((uint32_t)IRQn) & 0xFUL)-4UL] >> (8U - __NVIC_PRIO_BITS)));
   }
 }
 
 
-/** \brief  Encode Priority
-
-    The function encodes the priority for an interrupt with the given priority group,
-    preemptive priority value, and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
-
-    \param [in]     PriorityGroup  Used priority group.
-    \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
-    \param [in]       SubPriority  Subpriority value (starting from 0).
-    \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
+/**
+  \brief   Encode Priority
+  \details Encodes the priority for an interrupt with the given priority group,
+           preemptive priority value, and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]     PriorityGroup  Used priority group.
+  \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
+  \param [in]       SubPriority  Subpriority value (starting from 0).
+  \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
  */
 __STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
 {
@@ -1875,19 +2084,18 @@ __STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t P
 }
 
 
-/** \brief  Decode Priority
-
-    The function decodes an interrupt priority value with a given priority group to
-    preemptive priority value and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
-
-    \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
-    \param [in]     PriorityGroup  Used priority group.
-    \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
-    \param [out]     pSubPriority  Subpriority value (starting from 0).
+/**
+  \brief   Decode Priority
+  \details Decodes an interrupt priority value with a given priority group to
+           preemptive priority value and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
+  \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
+  \param [in]     PriorityGroup  Used priority group.
+  \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
+  \param [out]     pSubPriority  Subpriority value (starting from 0).
  */
-__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* pPreemptPriority, uint32_t* pSubPriority)
+__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority)
 {
   uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
   uint32_t PreemptPriorityBits;
@@ -1901,11 +2109,42 @@ __STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGr
 }
 
 
-/** \brief  System Reset
+/**
+  \brief   Set Interrupt Vector
+  \details Sets an interrupt vector in SRAM based interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+           VTOR must been relocated to SRAM before.
+  \param [in]   IRQn      Interrupt number
+  \param [in]   vector    Address of interrupt handler function
+ */
+__STATIC_INLINE void __NVIC_SetVector(IRQn_Type IRQn, uint32_t vector)
+{
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+  vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET] = vector;
+}
 
-    The function initiates a system reset request to reset the MCU.
+
+/**
+  \brief   Get Interrupt Vector
+  \details Reads an interrupt vector from interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn      Interrupt number.
+  \return                 Address of interrupt handler function
  */
-__STATIC_INLINE void NVIC_SystemReset(void)
+__STATIC_INLINE uint32_t __NVIC_GetVector(IRQn_Type IRQn)
+{
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+  return vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET];
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__NO_RETURN __STATIC_INLINE void __NVIC_SystemReset(void)
 {
   __DSB();                                                          /* Ensure all outstanding memory accesses included
                                                                        buffered write are completed before reset */
@@ -1913,22 +2152,34 @@ __STATIC_INLINE void NVIC_SystemReset(void)
                            (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) |
                             SCB_AIRCR_SYSRESETREQ_Msk    );         /* Keep priority group unchanged */
   __DSB();                                                          /* Ensure completion of memory access */
-  while(1) { __NOP(); }                                             /* wait until reset */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
 }
 
 /*@} end of CMSIS_Core_NVICFunctions */
 
+/* ##########################  MPU functions  #################################### */
+
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+
+#include "mpu_armv7.h"
+
+#endif
 
 /* ##########################  FPU functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_FpuFunctions FPU Functions
-    \brief      Function that provides FPU type.
-    @{
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_FpuFunctions FPU Functions
+  \brief    Function that provides FPU type.
+  @{
  */
 
 /**
-  \fn          uint32_t SCB_GetFPUType(void)
-  \brief       get FPU type
+  \brief   get FPU type
+  \details returns the FPU type
   \returns
    - \b  0: No FPU
    - \b  1: Single precision FPU
@@ -1939,12 +2190,17 @@ __STATIC_INLINE uint32_t SCB_GetFPUType(void)
   uint32_t mvfr0;
 
   mvfr0 = SCB->MVFR0;
-  if        ((mvfr0 & 0x00000FF0UL) == 0x220UL) {
-    return 2UL;           // Double + Single precision FPU
-  } else if ((mvfr0 & 0x00000FF0UL) == 0x020UL) {
-    return 1UL;           // Single precision FPU
-  } else {
-    return 0UL;           // No FPU
+  if      ((mvfr0 & (FPU_MVFR0_Single_precision_Msk | FPU_MVFR0_Double_precision_Msk)) == 0x220U)
+  {
+    return 2U;           /* Double + Single precision FPU */
+  }
+  else if ((mvfr0 & (FPU_MVFR0_Single_precision_Msk | FPU_MVFR0_Double_precision_Msk)) == 0x020U)
+  {
+    return 1U;           /* Single precision FPU */
+  }
+  else
+  {
+    return 0U;           /* No FPU */
   }
 }
 
@@ -1954,59 +2210,61 @@ __STATIC_INLINE uint32_t SCB_GetFPUType(void)
 
 
 /* ##########################  Cache functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_CacheFunctions Cache Functions
-    \brief      Functions that configure Instruction and Data cache.
-    @{
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_CacheFunctions Cache Functions
+  \brief    Functions that configure Instruction and Data cache.
+  @{
  */
 
 /* Cache Size ID Register Macros */
 #define CCSIDR_WAYS(x)         (((x) & SCB_CCSIDR_ASSOCIATIVITY_Msk) >> SCB_CCSIDR_ASSOCIATIVITY_Pos)
 #define CCSIDR_SETS(x)         (((x) & SCB_CCSIDR_NUMSETS_Msk      ) >> SCB_CCSIDR_NUMSETS_Pos      )
-#define CCSIDR_LSSHIFT(x)      (((x) & SCB_CCSIDR_LINESIZE_Msk     ) /*>> SCB_CCSIDR_LINESIZE_Pos*/ )
-
 
-/** \brief Enable I-Cache
 
-    The function turns on I-Cache
+/**
+  \brief   Enable I-Cache
+  \details Turns on I-Cache
   */
 __STATIC_INLINE void SCB_EnableICache (void)
 {
-  #if (__ICACHE_PRESENT == 1)
+  #if defined (__ICACHE_PRESENT) && (__ICACHE_PRESENT == 1U)
+    __DSB();
+    __ISB();
+    SCB->ICIALLU = 0UL;                     /* invalidate I-Cache */
     __DSB();
     __ISB();
-    SCB->ICIALLU = 0UL;                     // invalidate I-Cache
-    SCB->CCR |=  (uint32_t)SCB_CCR_IC_Msk;  // enable I-Cache
+    SCB->CCR |=  (uint32_t)SCB_CCR_IC_Msk;  /* enable I-Cache */
     __DSB();
     __ISB();
   #endif
 }
 
 
-/** \brief Disable I-Cache
-
-    The function turns off I-Cache
+/**
+  \brief   Disable I-Cache
+  \details Turns off I-Cache
   */
 __STATIC_INLINE void SCB_DisableICache (void)
 {
-  #if (__ICACHE_PRESENT == 1)
+  #if defined (__ICACHE_PRESENT) && (__ICACHE_PRESENT == 1U)
     __DSB();
     __ISB();
-    SCB->CCR &= ~(uint32_t)SCB_CCR_IC_Msk;  // disable I-Cache
-    SCB->ICIALLU = 0UL;                     // invalidate I-Cache
+    SCB->CCR &= ~(uint32_t)SCB_CCR_IC_Msk;  /* disable I-Cache */
+    SCB->ICIALLU = 0UL;                     /* invalidate I-Cache */
     __DSB();
     __ISB();
   #endif
 }
 
 
-/** \brief Invalidate I-Cache
-
-    The function invalidates I-Cache
+/**
+  \brief   Invalidate I-Cache
+  \details Invalidates I-Cache
   */
 __STATIC_INLINE void SCB_InvalidateICache (void)
 {
-  #if (__ICACHE_PRESENT == 1)
+  #if defined (__ICACHE_PRESENT) && (__ICACHE_PRESENT == 1U)
     __DSB();
     __ISB();
     SCB->ICIALLU = 0UL;
@@ -2016,35 +2274,37 @@ __STATIC_INLINE void SCB_InvalidateICache (void)
 }
 
 
-/** \brief Enable D-Cache
-
-    The function turns on D-Cache
+/**
+  \brief   Enable D-Cache
+  \details Turns on D-Cache
   */
 __STATIC_INLINE void SCB_EnableDCache (void)
 {
-  #if (__DCACHE_PRESENT == 1)
-    uint32_t ccsidr, sshift, wshift, sw;
-    uint32_t sets, ways;
-
-    SCB->CSSELR = (0UL << 1) | 0UL;         // Level 1 data cache
-    ccsidr  = SCB->CCSIDR;
-    sets    = (uint32_t)(CCSIDR_SETS(ccsidr));
-    sshift  = (uint32_t)(CCSIDR_LSSHIFT(ccsidr) + 4UL);
-    ways    = (uint32_t)(CCSIDR_WAYS(ccsidr));
-    wshift  = (uint32_t)((uint32_t)__CLZ(ways) & 0x1FUL);
+  #if defined (__DCACHE_PRESENT) && (__DCACHE_PRESENT == 1U)
+    uint32_t ccsidr;
+    uint32_t sets;
+    uint32_t ways;
 
+    SCB->CSSELR = 0U; /*(0U << 1U) | 0U;*/  /* Level 1 data cache */
     __DSB();
 
-    do {                                   // invalidate D-Cache
-         uint32_t tmpways = ways;
-         do {
-              sw = ((tmpways << wshift) | (sets << sshift));
-              SCB->DCISW = sw;
-            } while(tmpways--);
-        } while(sets--);
+    ccsidr = SCB->CCSIDR;
+
+                                            /* invalidate D-Cache */
+    sets = (uint32_t)(CCSIDR_SETS(ccsidr));
+    do {
+      ways = (uint32_t)(CCSIDR_WAYS(ccsidr));
+      do {
+        SCB->DCISW = (((sets << SCB_DCISW_SET_Pos) & SCB_DCISW_SET_Msk) |
+                      ((ways << SCB_DCISW_WAY_Pos) & SCB_DCISW_WAY_Msk)  );
+        #if defined ( __CC_ARM )
+          __schedule_barrier();
+        #endif
+      } while (ways-- != 0U);
+    } while(sets-- != 0U);
     __DSB();
 
-    SCB->CCR |=  (uint32_t)SCB_CCR_DC_Msk;   // enable D-Cache
+    SCB->CCR |=  (uint32_t)SCB_CCR_DC_Msk;  /* enable D-Cache */
 
     __DSB();
     __ISB();
@@ -2052,35 +2312,37 @@ __STATIC_INLINE void SCB_EnableDCache (void)
 }
 
 
-/** \brief Disable D-Cache
-
-    The function turns off D-Cache
+/**
+  \brief   Disable D-Cache
+  \details Turns off D-Cache
   */
 __STATIC_INLINE void SCB_DisableDCache (void)
 {
-  #if (__DCACHE_PRESENT == 1)
-    uint32_t ccsidr, sshift, wshift, sw;
-    uint32_t sets, ways;
-
-    SCB->CSSELR = (0UL << 1) | 0UL;         // Level 1 data cache
-    ccsidr  = SCB->CCSIDR;
-    sets    = (uint32_t)(CCSIDR_SETS(ccsidr));
-    sshift  = (uint32_t)(CCSIDR_LSSHIFT(ccsidr) + 4UL);
-    ways    = (uint32_t)(CCSIDR_WAYS(ccsidr));
-    wshift  = (uint32_t)((uint32_t)__CLZ(ways) & 0x1FUL);
+  #if defined (__DCACHE_PRESENT) && (__DCACHE_PRESENT == 1U)
+    uint32_t ccsidr;
+    uint32_t sets;
+    uint32_t ways;
 
+    SCB->CSSELR = 0U; /*(0U << 1U) | 0U;*/  /* Level 1 data cache */
     __DSB();
 
-    SCB->CCR &= ~(uint32_t)SCB_CCR_DC_Msk;  // disable D-Cache
-
-    do {                                    // clean & invalidate D-Cache
-         uint32_t tmpways = ways;
-         do {
-              sw = ((tmpways << wshift) | (sets << sshift));
-              SCB->DCCISW = sw;
-            } while(tmpways--);
-        } while(sets--);
+    SCB->CCR &= ~(uint32_t)SCB_CCR_DC_Msk;  /* disable D-Cache */
+    __DSB();
 
+    ccsidr = SCB->CCSIDR;
+
+                                            /* clean & invalidate D-Cache */
+    sets = (uint32_t)(CCSIDR_SETS(ccsidr));
+    do {
+      ways = (uint32_t)(CCSIDR_WAYS(ccsidr));
+      do {
+        SCB->DCCISW = (((sets << SCB_DCCISW_SET_Pos) & SCB_DCCISW_SET_Msk) |
+                       ((ways << SCB_DCCISW_WAY_Pos) & SCB_DCCISW_WAY_Msk)  );
+        #if defined ( __CC_ARM )
+          __schedule_barrier();
+        #endif
+      } while (ways-- != 0U);
+    } while(sets-- != 0U);
 
     __DSB();
     __ISB();
@@ -2088,32 +2350,34 @@ __STATIC_INLINE void SCB_DisableDCache (void)
 }
 
 
-/** \brief Invalidate D-Cache
-
-    The function invalidates D-Cache
+/**
+  \brief   Invalidate D-Cache
+  \details Invalidates D-Cache
   */
 __STATIC_INLINE void SCB_InvalidateDCache (void)
 {
-  #if (__DCACHE_PRESENT == 1)
-    uint32_t ccsidr, sshift, wshift, sw;
-    uint32_t sets, ways;
-
-    SCB->CSSELR = (0UL << 1) | 0UL;         // Level 1 data cache
-    ccsidr  = SCB->CCSIDR;
-    sets    = (uint32_t)(CCSIDR_SETS(ccsidr));
-    sshift  = (uint32_t)(CCSIDR_LSSHIFT(ccsidr) + 4UL);
-    ways    = (uint32_t)(CCSIDR_WAYS(ccsidr));
-    wshift  = (uint32_t)((uint32_t)__CLZ(ways) & 0x1FUL);
+  #if defined (__DCACHE_PRESENT) && (__DCACHE_PRESENT == 1U)
+    uint32_t ccsidr;
+    uint32_t sets;
+    uint32_t ways;
 
+    SCB->CSSELR = 0U; /*(0U << 1U) | 0U;*/  /* Level 1 data cache */
     __DSB();
 
-    do {                                    // invalidate D-Cache
-         uint32_t tmpways = ways;
-         do {
-              sw = ((tmpways << wshift) | (sets << sshift));
-              SCB->DCISW = sw;
-            } while(tmpways--);
-        } while(sets--);
+    ccsidr = SCB->CCSIDR;
+
+                                            /* invalidate D-Cache */
+    sets = (uint32_t)(CCSIDR_SETS(ccsidr));
+    do {
+      ways = (uint32_t)(CCSIDR_WAYS(ccsidr));
+      do {
+        SCB->DCISW = (((sets << SCB_DCISW_SET_Pos) & SCB_DCISW_SET_Msk) |
+                      ((ways << SCB_DCISW_WAY_Pos) & SCB_DCISW_WAY_Msk)  );
+        #if defined ( __CC_ARM )
+          __schedule_barrier();
+        #endif
+      } while (ways-- != 0U);
+    } while(sets-- != 0U);
 
     __DSB();
     __ISB();
@@ -2121,32 +2385,34 @@ __STATIC_INLINE void SCB_InvalidateDCache (void)
 }
 
 
-/** \brief Clean D-Cache
-
-    The function cleans D-Cache
+/**
+  \brief   Clean D-Cache
+  \details Cleans D-Cache
   */
 __STATIC_INLINE void SCB_CleanDCache (void)
 {
-  #if (__DCACHE_PRESENT == 1)
-    uint32_t ccsidr, sshift, wshift, sw;
-    uint32_t sets, ways;
-
-    SCB->CSSELR = (0UL << 1) | 0UL;         // Level 1 data cache
-    ccsidr  = SCB->CCSIDR;
-    sets    = (uint32_t)(CCSIDR_SETS(ccsidr));
-    sshift  = (uint32_t)(CCSIDR_LSSHIFT(ccsidr) + 4UL);
-    ways    = (uint32_t)(CCSIDR_WAYS(ccsidr));
-    wshift  = (uint32_t)((uint32_t)__CLZ(ways) & 0x1FUL);
-
-    __DSB();
-
-    do {                                    // clean D-Cache
-         uint32_t tmpways = ways;
-         do {
-              sw = ((tmpways << wshift) | (sets << sshift));
-              SCB->DCCSW = sw;
-            } while(tmpways--);
-        } while(sets--);
+  #if defined (__DCACHE_PRESENT) && (__DCACHE_PRESENT == 1U)
+    uint32_t ccsidr;
+    uint32_t sets;
+    uint32_t ways;
+
+     SCB->CSSELR = 0U; /*(0U << 1U) | 0U;*/  /* Level 1 data cache */
+   __DSB();
+
+    ccsidr = SCB->CCSIDR;
+
+                                            /* clean D-Cache */
+    sets = (uint32_t)(CCSIDR_SETS(ccsidr));
+    do {
+      ways = (uint32_t)(CCSIDR_WAYS(ccsidr));
+      do {
+        SCB->DCCSW = (((sets << SCB_DCCSW_SET_Pos) & SCB_DCCSW_SET_Msk) |
+                      ((ways << SCB_DCCSW_WAY_Pos) & SCB_DCCSW_WAY_Msk)  );
+        #if defined ( __CC_ARM )
+          __schedule_barrier();
+        #endif
+      } while (ways-- != 0U);
+    } while(sets-- != 0U);
 
     __DSB();
     __ISB();
@@ -2154,32 +2420,34 @@ __STATIC_INLINE void SCB_CleanDCache (void)
 }
 
 
-/** \brief Clean & Invalidate D-Cache
-
-    The function cleans and Invalidates D-Cache
+/**
+  \brief   Clean & Invalidate D-Cache
+  \details Cleans and Invalidates D-Cache
   */
 __STATIC_INLINE void SCB_CleanInvalidateDCache (void)
 {
-  #if (__DCACHE_PRESENT == 1)
-    uint32_t ccsidr, sshift, wshift, sw;
-    uint32_t sets, ways;
-
-    SCB->CSSELR = (0UL << 1) | 0UL;         // Level 1 data cache
-    ccsidr  = SCB->CCSIDR;
-    sets    = (uint32_t)(CCSIDR_SETS(ccsidr));
-    sshift  = (uint32_t)(CCSIDR_LSSHIFT(ccsidr) + 4UL);
-    ways    = (uint32_t)(CCSIDR_WAYS(ccsidr));
-    wshift  = (uint32_t)((uint32_t)__CLZ(ways) & 0x1FUL);
+  #if defined (__DCACHE_PRESENT) && (__DCACHE_PRESENT == 1U)
+    uint32_t ccsidr;
+    uint32_t sets;
+    uint32_t ways;
 
+    SCB->CSSELR = 0U; /*(0U << 1U) | 0U;*/  /* Level 1 data cache */
     __DSB();
 
-    do {                                    // clean & invalidate D-Cache
-         uint32_t tmpways = ways;
-         do {
-              sw = ((tmpways << wshift) | (sets << sshift));
-              SCB->DCCISW = sw;
-            } while(tmpways--);
-        } while(sets--);
+    ccsidr = SCB->CCSIDR;
+
+                                            /* clean & invalidate D-Cache */
+    sets = (uint32_t)(CCSIDR_SETS(ccsidr));
+    do {
+      ways = (uint32_t)(CCSIDR_WAYS(ccsidr));
+      do {
+        SCB->DCCISW = (((sets << SCB_DCCISW_SET_Pos) & SCB_DCCISW_SET_Msk) |
+                       ((ways << SCB_DCCISW_WAY_Pos) & SCB_DCCISW_WAY_Msk)  );
+        #if defined ( __CC_ARM )
+          __schedule_barrier();
+        #endif
+      } while (ways-- != 0U);
+    } while(sets-- != 0U);
 
     __DSB();
     __ISB();
@@ -2188,24 +2456,24 @@ __STATIC_INLINE void SCB_CleanInvalidateDCache (void)
 
 
 /**
-  \fn          void SCB_InvalidateDCache_by_Addr(volatile uint32_t *addr, int32_t dsize)
-  \brief       D-Cache Invalidate by address
+  \brief   D-Cache Invalidate by address
+  \details Invalidates D-Cache for the given address
   \param[in]   addr    address (aligned to 32-byte boundary)
   \param[in]   dsize   size of memory block (in number of bytes)
 */
 __STATIC_INLINE void SCB_InvalidateDCache_by_Addr (uint32_t *addr, int32_t dsize)
 {
-  #if (__DCACHE_PRESENT == 1)
-    int32_t  op_size = dsize;
+  #if defined (__DCACHE_PRESENT) && (__DCACHE_PRESENT == 1U)
+     int32_t op_size = dsize;
     uint32_t op_addr = (uint32_t)addr;
-    uint32_t linesize = 32UL;               // in Cortex-M7 size of cache line is fixed to 8 words (32 bytes)
+     int32_t linesize = 32;                /* in Cortex-M7 size of cache line is fixed to 8 words (32 bytes) */
 
     __DSB();
 
     while (op_size > 0) {
       SCB->DCIMVAC = op_addr;
-      op_addr +=          linesize;
-      op_size -= (int32_t)linesize;
+      op_addr += (uint32_t)linesize;
+      op_size -=           linesize;
     }
 
     __DSB();
@@ -2215,24 +2483,24 @@ __STATIC_INLINE void SCB_InvalidateDCache_by_Addr (uint32_t *addr, int32_t dsize
 
 
 /**
-  \fn          void SCB_CleanDCache_by_Addr(volatile uint32_t *addr, int32_t dsize)
-  \brief       D-Cache Clean by address
+  \brief   D-Cache Clean by address
+  \details Cleans D-Cache for the given address
   \param[in]   addr    address (aligned to 32-byte boundary)
   \param[in]   dsize   size of memory block (in number of bytes)
 */
 __STATIC_INLINE void SCB_CleanDCache_by_Addr (uint32_t *addr, int32_t dsize)
 {
-  #if (__DCACHE_PRESENT == 1)
-    int32_t  op_size = dsize;
+  #if defined (__DCACHE_PRESENT) && (__DCACHE_PRESENT == 1U)
+     int32_t op_size = dsize;
     uint32_t op_addr = (uint32_t) addr;
-    uint32_t linesize = 32UL;               // in Cortex-M7 size of cache line is fixed to 8 words (32 bytes)
+     int32_t linesize = 32;                /* in Cortex-M7 size of cache line is fixed to 8 words (32 bytes) */
 
     __DSB();
 
     while (op_size > 0) {
       SCB->DCCMVAC = op_addr;
-      op_addr +=          linesize;
-      op_size -= (int32_t)linesize;
+      op_addr += (uint32_t)linesize;
+      op_size -=           linesize;
     }
 
     __DSB();
@@ -2242,24 +2510,24 @@ __STATIC_INLINE void SCB_CleanDCache_by_Addr (uint32_t *addr, int32_t dsize)
 
 
 /**
-  \fn          void SCB_CleanInvalidateDCache_by_Addr(volatile uint32_t *addr, int32_t dsize)
-  \brief       D-Cache Clean and Invalidate by address
+  \brief   D-Cache Clean and Invalidate by address
+  \details Cleans and invalidates D_Cache for the given address
   \param[in]   addr    address (aligned to 32-byte boundary)
   \param[in]   dsize   size of memory block (in number of bytes)
 */
 __STATIC_INLINE void SCB_CleanInvalidateDCache_by_Addr (uint32_t *addr, int32_t dsize)
 {
-  #if (__DCACHE_PRESENT == 1)
-    int32_t  op_size = dsize;
+  #if defined (__DCACHE_PRESENT) && (__DCACHE_PRESENT == 1U)
+     int32_t op_size = dsize;
     uint32_t op_addr = (uint32_t) addr;
-    uint32_t linesize = 32UL;               // in Cortex-M7 size of cache line is fixed to 8 words (32 bytes)
+     int32_t linesize = 32;                /* in Cortex-M7 size of cache line is fixed to 8 words (32 bytes) */
 
     __DSB();
 
     while (op_size > 0) {
       SCB->DCCIMVAC = op_addr;
-      op_addr +=          linesize;
-      op_size -= (int32_t)linesize;
+      op_addr += (uint32_t)linesize;
+      op_size -=           linesize;
     }
 
     __DSB();
@@ -2273,32 +2541,32 @@ __STATIC_INLINE void SCB_CleanInvalidateDCache_by_Addr (uint32_t *addr, int32_t
 
 
 /* ##################################    SysTick function  ############################################ */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
-    \brief      Functions that configure the System.
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
   @{
  */
 
-#if (__Vendor_SysTickConfig == 0)
-
-/** \brief  System Tick Configuration
-
-    The function initializes the System Timer and its interrupt, and starts the System Tick Timer.
-    Counter is in free running mode to generate periodic interrupts.
-
-    \param [in]  ticks  Number of ticks between two interrupts.
-
-    \return          0  Function succeeded.
-    \return          1  Function failed.
-
-    \note     When the variable __Vendor_SysTickConfig is set to 1, then the
-    function SysTick_Config is not included. In this case, the file device.h
-    must contain a vendor-specific implementation of this function.
+#if defined (__Vendor_SysTickConfig) && (__Vendor_SysTickConfig == 0U)
 
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable __Vendor_SysTickConfig is set to 1, then the
+           function SysTick_Config is not included. In this case, the file device.h
+           must contain a vendor-specific implementation of this function.
  */
 __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 {
-  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk) { return (1UL); }    /* Reload value impossible */
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
 
   SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
   NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
@@ -2316,49 +2584,52 @@ __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 
 
 /* ##################################### Debug In/Output function ########################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_core_DebugFunctions ITM Functions
-    \brief   Functions that access the ITM debug interface.
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_core_DebugFunctions ITM Functions
+  \brief    Functions that access the ITM debug interface.
   @{
  */
 
-extern volatile int32_t ITM_RxBuffer;                    /*!< External variable to receive characters.                         */
-#define                 ITM_RXBUFFER_EMPTY    0x5AA55AA5 /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
-
+extern volatile int32_t ITM_RxBuffer;                              /*!< External variable to receive characters. */
+#define                 ITM_RXBUFFER_EMPTY  ((int32_t)0x5AA55AA5U) /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
 
-/** \brief  ITM Send Character
 
-    The function transmits a character via the ITM channel 0, and
-    \li Just returns when no debugger is connected that has booked the output.
-    \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
-
-    \param [in]     ch  Character to transmit.
-
-    \returns            Character to transmit.
+/**
+  \brief   ITM Send Character
+  \details Transmits a character via the ITM channel 0, and
+           \li Just returns when no debugger is connected that has booked the output.
+           \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
+  \param [in]     ch  Character to transmit.
+  \returns            Character to transmit.
  */
 __STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch)
 {
   if (((ITM->TCR & ITM_TCR_ITMENA_Msk) != 0UL) &&      /* ITM enabled */
       ((ITM->TER & 1UL               ) != 0UL)   )     /* ITM Port #0 enabled */
   {
-    while (ITM->PORT[0].u32 == 0UL) { __NOP(); }
-    ITM->PORT[0].u8 = (uint8_t)ch;
+    while (ITM->PORT[0U].u32 == 0UL)
+    {
+      __NOP();
+    }
+    ITM->PORT[0U].u8 = (uint8_t)ch;
   }
   return (ch);
 }
 
 
-/** \brief  ITM Receive Character
-
-    The function inputs a character via the external variable \ref ITM_RxBuffer.
-
-    \return             Received character.
-    \return         -1  No character pending.
+/**
+  \brief   ITM Receive Character
+  \details Inputs a character via the external variable \ref ITM_RxBuffer.
+  \return             Received character.
+  \return         -1  No character pending.
  */
-__STATIC_INLINE int32_t ITM_ReceiveChar (void) {
+__STATIC_INLINE int32_t ITM_ReceiveChar (void)
+{
   int32_t ch = -1;                           /* no character available */
 
-  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY) {
+  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY)
+  {
     ch = ITM_RxBuffer;
     ITM_RxBuffer = ITM_RXBUFFER_EMPTY;       /* ready for next character */
   }
@@ -2367,19 +2638,22 @@ __STATIC_INLINE int32_t ITM_ReceiveChar (void) {
 }
 
 
-/** \brief  ITM Check Character
-
-    The function checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
-
-    \return          0  No character available.
-    \return          1  Character available.
+/**
+  \brief   ITM Check Character
+  \details Checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
+  \return          0  No character available.
+  \return          1  Character available.
  */
-__STATIC_INLINE int32_t ITM_CheckChar (void) {
+__STATIC_INLINE int32_t ITM_CheckChar (void)
+{
 
-  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY) {
-    return (0);                                 /* no character available */
-  } else {
-    return (1);                                 /*    character available */
+  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY)
+  {
+    return (0);                              /* no character available */
+  }
+  else
+  {
+    return (1);                              /*    character available */
   }
 }
 
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cmFunc.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cmFunc.h
deleted file mode 100644
index b6ad0a4c..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cmFunc.h
+++ /dev/null
@@ -1,664 +0,0 @@
-/**************************************************************************//**
- * @file     core_cmFunc.h
- * @brief    CMSIS Cortex-M Core Function Access Header File
- * @version  V4.10
- * @date     18. March 2015
- *
- * @note
- *
- ******************************************************************************/
-/* Copyright (c) 2009 - 2015 ARM LIMITED
-
-   All rights reserved.
-   Redistribution and use in source and binary forms, with or without
-   modification, are permitted provided that the following conditions are met:
-   - Redistributions of source code must retain the above copyright
-     notice, this list of conditions and the following disclaimer.
-   - Redistributions in binary form must reproduce the above copyright
-     notice, this list of conditions and the following disclaimer in the
-     documentation and/or other materials provided with the distribution.
-   - Neither the name of ARM nor the names of its contributors may be used
-     to endorse or promote products derived from this software without
-     specific prior written permission.
-   *
-   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
-   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-   POSSIBILITY OF SUCH DAMAGE.
-   ---------------------------------------------------------------------------*/
-
-
-#ifndef __CORE_CMFUNC_H
-#define __CORE_CMFUNC_H
-
-
-/* ###########################  Core Function Access  ########################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions
-  @{
- */
-
-#if   defined ( __CC_ARM ) /*------------------RealView Compiler -----------------*/
-/* ARM armcc specific functions */
-
-#if (__ARMCC_VERSION < 400677)
-  #error "Please use ARM Compiler Toolchain V4.0.677 or later!"
-#endif
-
-/* intrinsic void __enable_irq();     */
-/* intrinsic void __disable_irq();    */
-
-/** \brief  Get Control Register
-
-    This function returns the content of the Control Register.
-
-    \return               Control Register value
- */
-__STATIC_INLINE uint32_t __get_CONTROL(void)
-{
-  register uint32_t __regControl         __ASM("control");
-  return(__regControl);
-}
-
-
-/** \brief  Set Control Register
-
-    This function writes the given value to the Control Register.
-
-    \param [in]    control  Control Register value to set
- */
-__STATIC_INLINE void __set_CONTROL(uint32_t control)
-{
-  register uint32_t __regControl         __ASM("control");
-  __regControl = control;
-}
-
-
-/** \brief  Get IPSR Register
-
-    This function returns the content of the IPSR Register.
-
-    \return               IPSR Register value
- */
-__STATIC_INLINE uint32_t __get_IPSR(void)
-{
-  register uint32_t __regIPSR          __ASM("ipsr");
-  return(__regIPSR);
-}
-
-
-/** \brief  Get APSR Register
-
-    This function returns the content of the APSR Register.
-
-    \return               APSR Register value
- */
-__STATIC_INLINE uint32_t __get_APSR(void)
-{
-  register uint32_t __regAPSR          __ASM("apsr");
-  return(__regAPSR);
-}
-
-
-/** \brief  Get xPSR Register
-
-    This function returns the content of the xPSR Register.
-
-    \return               xPSR Register value
- */
-__STATIC_INLINE uint32_t __get_xPSR(void)
-{
-  register uint32_t __regXPSR          __ASM("xpsr");
-  return(__regXPSR);
-}
-
-
-/** \brief  Get Process Stack Pointer
-
-    This function returns the current value of the Process Stack Pointer (PSP).
-
-    \return               PSP Register value
- */
-__STATIC_INLINE uint32_t __get_PSP(void)
-{
-  register uint32_t __regProcessStackPointer  __ASM("psp");
-  return(__regProcessStackPointer);
-}
-
-
-/** \brief  Set Process Stack Pointer
-
-    This function assigns the given value to the Process Stack Pointer (PSP).
-
-    \param [in]    topOfProcStack  Process Stack Pointer value to set
- */
-__STATIC_INLINE void __set_PSP(uint32_t topOfProcStack)
-{
-  register uint32_t __regProcessStackPointer  __ASM("psp");
-  __regProcessStackPointer = topOfProcStack;
-}
-
-
-/** \brief  Get Main Stack Pointer
-
-    This function returns the current value of the Main Stack Pointer (MSP).
-
-    \return               MSP Register value
- */
-__STATIC_INLINE uint32_t __get_MSP(void)
-{
-  register uint32_t __regMainStackPointer     __ASM("msp");
-  return(__regMainStackPointer);
-}
-
-
-/** \brief  Set Main Stack Pointer
-
-    This function assigns the given value to the Main Stack Pointer (MSP).
-
-    \param [in]    topOfMainStack  Main Stack Pointer value to set
- */
-__STATIC_INLINE void __set_MSP(uint32_t topOfMainStack)
-{
-  register uint32_t __regMainStackPointer     __ASM("msp");
-  __regMainStackPointer = topOfMainStack;
-}
-
-
-/** \brief  Get Priority Mask
-
-    This function returns the current state of the priority mask bit from the Priority Mask Register.
-
-    \return               Priority Mask value
- */
-__STATIC_INLINE uint32_t __get_PRIMASK(void)
-{
-  register uint32_t __regPriMask         __ASM("primask");
-  return(__regPriMask);
-}
-
-
-/** \brief  Set Priority Mask
-
-    This function assigns the given value to the Priority Mask Register.
-
-    \param [in]    priMask  Priority Mask
- */
-__STATIC_INLINE void __set_PRIMASK(uint32_t priMask)
-{
-  register uint32_t __regPriMask         __ASM("primask");
-  __regPriMask = (priMask);
-}
-
-
-#if       (__CORTEX_M >= 0x03) || (__CORTEX_SC >= 300)
-
-/** \brief  Enable FIQ
-
-    This function enables FIQ interrupts by clearing the F-bit in the CPSR.
-    Can only be executed in Privileged modes.
- */
-#define __enable_fault_irq                __enable_fiq
-
-
-/** \brief  Disable FIQ
-
-    This function disables FIQ interrupts by setting the F-bit in the CPSR.
-    Can only be executed in Privileged modes.
- */
-#define __disable_fault_irq               __disable_fiq
-
-
-/** \brief  Get Base Priority
-
-    This function returns the current value of the Base Priority register.
-
-    \return               Base Priority register value
- */
-__STATIC_INLINE uint32_t  __get_BASEPRI(void)
-{
-  register uint32_t __regBasePri         __ASM("basepri");
-  return(__regBasePri);
-}
-
-
-/** \brief  Set Base Priority
-
-    This function assigns the given value to the Base Priority register.
-
-    \param [in]    basePri  Base Priority value to set
- */
-__STATIC_INLINE void __set_BASEPRI(uint32_t basePri)
-{
-  register uint32_t __regBasePri         __ASM("basepri");
-  __regBasePri = (basePri & 0xff);
-}
-
-
-/** \brief  Set Base Priority with condition
-
-    This function assigns the given value to the Base Priority register only if BASEPRI masking is disabled,
-    or the new value increases the BASEPRI priority level.
-
-    \param [in]    basePri  Base Priority value to set
- */
-__STATIC_INLINE void __set_BASEPRI_MAX(uint32_t basePri)
-{
-  register uint32_t __regBasePriMax      __ASM("basepri_max");
-  __regBasePriMax = (basePri & 0xff);
-}
-
-
-/** \brief  Get Fault Mask
-
-    This function returns the current value of the Fault Mask register.
-
-    \return               Fault Mask register value
- */
-__STATIC_INLINE uint32_t __get_FAULTMASK(void)
-{
-  register uint32_t __regFaultMask       __ASM("faultmask");
-  return(__regFaultMask);
-}
-
-
-/** \brief  Set Fault Mask
-
-    This function assigns the given value to the Fault Mask register.
-
-    \param [in]    faultMask  Fault Mask value to set
- */
-__STATIC_INLINE void __set_FAULTMASK(uint32_t faultMask)
-{
-  register uint32_t __regFaultMask       __ASM("faultmask");
-  __regFaultMask = (faultMask & (uint32_t)1);
-}
-
-#endif /* (__CORTEX_M >= 0x03) || (__CORTEX_SC >= 300) */
-
-
-#if       (__CORTEX_M == 0x04) || (__CORTEX_M == 0x07)
-
-/** \brief  Get FPSCR
-
-    This function returns the current value of the Floating Point Status/Control register.
-
-    \return               Floating Point Status/Control register value
- */
-__STATIC_INLINE uint32_t __get_FPSCR(void)
-{
-#if (__FPU_PRESENT == 1) && (__FPU_USED == 1)
-  register uint32_t __regfpscr         __ASM("fpscr");
-  return(__regfpscr);
-#else
-   return(0);
-#endif
-}
-
-
-/** \brief  Set FPSCR
-
-    This function assigns the given value to the Floating Point Status/Control register.
-
-    \param [in]    fpscr  Floating Point Status/Control value to set
- */
-__STATIC_INLINE void __set_FPSCR(uint32_t fpscr)
-{
-#if (__FPU_PRESENT == 1) && (__FPU_USED == 1)
-  register uint32_t __regfpscr         __ASM("fpscr");
-  __regfpscr = (fpscr);
-#endif
-}
-
-#endif /* (__CORTEX_M == 0x04) || (__CORTEX_M == 0x07) */
-
-
-#elif defined ( __GNUC__ ) /*------------------ GNU Compiler ---------------------*/
-/* GNU gcc specific functions */
-
-/** \brief  Enable IRQ Interrupts
-
-  This function enables IRQ interrupts by clearing the I-bit in the CPSR.
-  Can only be executed in Privileged modes.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __enable_irq(void)
-{
-  __ASM volatile ("cpsie i" : : : "memory");
-}
-
-
-/** \brief  Disable IRQ Interrupts
-
-  This function disables IRQ interrupts by setting the I-bit in the CPSR.
-  Can only be executed in Privileged modes.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __disable_irq(void)
-{
-  __ASM volatile ("cpsid i" : : : "memory");
-}
-
-
-/** \brief  Get Control Register
-
-    This function returns the content of the Control Register.
-
-    \return               Control Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_CONTROL(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, control" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Control Register
-
-    This function writes the given value to the Control Register.
-
-    \param [in]    control  Control Register value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_CONTROL(uint32_t control)
-{
-  __ASM volatile ("MSR control, %0" : : "r" (control) : "memory");
-}
-
-
-/** \brief  Get IPSR Register
-
-    This function returns the content of the IPSR Register.
-
-    \return               IPSR Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_IPSR(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, ipsr" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Get APSR Register
-
-    This function returns the content of the APSR Register.
-
-    \return               APSR Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_APSR(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, apsr" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Get xPSR Register
-
-    This function returns the content of the xPSR Register.
-
-    \return               xPSR Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_xPSR(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, xpsr" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Get Process Stack Pointer
-
-    This function returns the current value of the Process Stack Pointer (PSP).
-
-    \return               PSP Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_PSP(void)
-{
-  register uint32_t result;
-
-  __ASM volatile ("MRS %0, psp\n"  : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Process Stack Pointer
-
-    This function assigns the given value to the Process Stack Pointer (PSP).
-
-    \param [in]    topOfProcStack  Process Stack Pointer value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_PSP(uint32_t topOfProcStack)
-{
-  __ASM volatile ("MSR psp, %0\n" : : "r" (topOfProcStack) : "sp");
-}
-
-
-/** \brief  Get Main Stack Pointer
-
-    This function returns the current value of the Main Stack Pointer (MSP).
-
-    \return               MSP Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_MSP(void)
-{
-  register uint32_t result;
-
-  __ASM volatile ("MRS %0, msp\n" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Main Stack Pointer
-
-    This function assigns the given value to the Main Stack Pointer (MSP).
-
-    \param [in]    topOfMainStack  Main Stack Pointer value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_MSP(uint32_t topOfMainStack)
-{
-  __ASM volatile ("MSR msp, %0\n" : : "r" (topOfMainStack) : "sp");
-}
-
-
-/** \brief  Get Priority Mask
-
-    This function returns the current state of the priority mask bit from the Priority Mask Register.
-
-    \return               Priority Mask value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_PRIMASK(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, primask" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Priority Mask
-
-    This function assigns the given value to the Priority Mask Register.
-
-    \param [in]    priMask  Priority Mask
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_PRIMASK(uint32_t priMask)
-{
-  __ASM volatile ("MSR primask, %0" : : "r" (priMask) : "memory");
-}
-
-
-#if       (__CORTEX_M >= 0x03)
-
-/** \brief  Enable FIQ
-
-    This function enables FIQ interrupts by clearing the F-bit in the CPSR.
-    Can only be executed in Privileged modes.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __enable_fault_irq(void)
-{
-  __ASM volatile ("cpsie f" : : : "memory");
-}
-
-
-/** \brief  Disable FIQ
-
-    This function disables FIQ interrupts by setting the F-bit in the CPSR.
-    Can only be executed in Privileged modes.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __disable_fault_irq(void)
-{
-  __ASM volatile ("cpsid f" : : : "memory");
-}
-
-
-/** \brief  Get Base Priority
-
-    This function returns the current value of the Base Priority register.
-
-    \return               Base Priority register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_BASEPRI(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, basepri" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Base Priority
-
-    This function assigns the given value to the Base Priority register.
-
-    \param [in]    basePri  Base Priority value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_BASEPRI(uint32_t value)
-{
-  __ASM volatile ("MSR basepri, %0" : : "r" (value) : "memory");
-}
-
-
-/** \brief  Set Base Priority with condition
-
-    This function assigns the given value to the Base Priority register only if BASEPRI masking is disabled,
-	or the new value increases the BASEPRI priority level.
-
-    \param [in]    basePri  Base Priority value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_BASEPRI_MAX(uint32_t value)
-{
-  __ASM volatile ("MSR basepri_max, %0" : : "r" (value) : "memory");
-}
-
-
-/** \brief  Get Fault Mask
-
-    This function returns the current value of the Fault Mask register.
-
-    \return               Fault Mask register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_FAULTMASK(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, faultmask" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Fault Mask
-
-    This function assigns the given value to the Fault Mask register.
-
-    \param [in]    faultMask  Fault Mask value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_FAULTMASK(uint32_t faultMask)
-{
-  __ASM volatile ("MSR faultmask, %0" : : "r" (faultMask) : "memory");
-}
-
-#endif /* (__CORTEX_M >= 0x03) */
-
-
-#if       (__CORTEX_M == 0x04) || (__CORTEX_M == 0x07)
-
-/** \brief  Get FPSCR
-
-    This function returns the current value of the Floating Point Status/Control register.
-
-    \return               Floating Point Status/Control register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_FPSCR(void)
-{
-#if (__FPU_PRESENT == 1) && (__FPU_USED == 1)
-  uint32_t result;
-
-  /* Empty asm statement works as a scheduling barrier */
-  __ASM volatile ("");
-  __ASM volatile ("VMRS %0, fpscr" : "=r" (result) );
-  __ASM volatile ("");
-  return(result);
-#else
-   return(0);
-#endif
-}
-
-
-/** \brief  Set FPSCR
-
-    This function assigns the given value to the Floating Point Status/Control register.
-
-    \param [in]    fpscr  Floating Point Status/Control value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_FPSCR(uint32_t fpscr)
-{
-#if (__FPU_PRESENT == 1) && (__FPU_USED == 1)
-  /* Empty asm statement works as a scheduling barrier */
-  __ASM volatile ("");
-  __ASM volatile ("VMSR fpscr, %0" : : "r" (fpscr) : "vfpcc");
-  __ASM volatile ("");
-#endif
-}
-
-#endif /* (__CORTEX_M == 0x04) || (__CORTEX_M == 0x07) */
-
-
-#elif defined ( __ICCARM__ ) /*------------------ ICC Compiler -------------------*/
-/* IAR iccarm specific functions */
-#include 
-
-
-#elif defined ( __TMS470__ ) /*---------------- TI CCS Compiler ------------------*/
-/* TI CCS specific functions */
-#include 
-
-
-#elif defined ( __TASKING__ ) /*------------------ TASKING Compiler --------------*/
-/* TASKING carm specific functions */
-/*
- * The CMSIS functions have been implemented as intrinsics in the compiler.
- * Please use "carm -?i" to get an up to date list of all intrinsics,
- * Including the CMSIS ones.
- */
-
-
-#elif defined ( __CSMC__ ) /*------------------ COSMIC Compiler -------------------*/
-/* Cosmic specific functions */
-#include 
-
-#endif
-
-/*@} end of CMSIS_Core_RegAccFunctions */
-
-#endif /* __CORE_CMFUNC_H */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cmInstr.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cmInstr.h
deleted file mode 100644
index fca425c5..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cmInstr.h
+++ /dev/null
@@ -1,916 +0,0 @@
-/**************************************************************************//**
- * @file     core_cmInstr.h
- * @brief    CMSIS Cortex-M Core Instruction Access Header File
- * @version  V4.10
- * @date     18. March 2015
- *
- * @note
- *
- ******************************************************************************/
-/* Copyright (c) 2009 - 2014 ARM LIMITED
-
-   All rights reserved.
-   Redistribution and use in source and binary forms, with or without
-   modification, are permitted provided that the following conditions are met:
-   - Redistributions of source code must retain the above copyright
-     notice, this list of conditions and the following disclaimer.
-   - Redistributions in binary form must reproduce the above copyright
-     notice, this list of conditions and the following disclaimer in the
-     documentation and/or other materials provided with the distribution.
-   - Neither the name of ARM nor the names of its contributors may be used
-     to endorse or promote products derived from this software without
-     specific prior written permission.
-   *
-   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
-   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-   POSSIBILITY OF SUCH DAMAGE.
-   ---------------------------------------------------------------------------*/
-
-
-#ifndef __CORE_CMINSTR_H
-#define __CORE_CMINSTR_H
-
-
-/* ##########################  Core Instruction Access  ######################### */
-/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface
-  Access to dedicated instructions
-  @{
-*/
-
-#if   defined ( __CC_ARM ) /*------------------RealView Compiler -----------------*/
-/* ARM armcc specific functions */
-
-#if (__ARMCC_VERSION < 400677)
-  #error "Please use ARM Compiler Toolchain V4.0.677 or later!"
-#endif
-
-
-/** \brief  No Operation
-
-    No Operation does nothing. This instruction can be used for code alignment purposes.
- */
-#define __NOP                             __nop
-
-
-/** \brief  Wait For Interrupt
-
-    Wait For Interrupt is a hint instruction that suspends execution
-    until one of a number of events occurs.
- */
-#define __WFI                             __wfi
-
-
-/** \brief  Wait For Event
-
-    Wait For Event is a hint instruction that permits the processor to enter
-    a low-power state until one of a number of events occurs.
- */
-#define __WFE                             __wfe
-
-
-/** \brief  Send Event
-
-    Send Event is a hint instruction. It causes an event to be signaled to the CPU.
- */
-#define __SEV                             __sev
-
-
-/** \brief  Instruction Synchronization Barrier
-
-    Instruction Synchronization Barrier flushes the pipeline in the processor,
-    so that all instructions following the ISB are fetched from cache or
-    memory, after the instruction has been completed.
- */
-#define __ISB() do {\
-                   __schedule_barrier();\
-                   __isb(0xF);\
-                   __schedule_barrier();\
-                } while (0)
-
-/** \brief  Data Synchronization Barrier
-
-    This function acts as a special kind of Data Memory Barrier.
-    It completes when all explicit memory accesses before this instruction complete.
- */
-#define __DSB() do {\
-                   __schedule_barrier();\
-                   __dsb(0xF);\
-                   __schedule_barrier();\
-                } while (0)
-
-/** \brief  Data Memory Barrier
-
-    This function ensures the apparent order of the explicit memory operations before
-    and after the instruction, without ensuring their completion.
- */
-#define __DMB() do {\
-                   __schedule_barrier();\
-                   __dmb(0xF);\
-                   __schedule_barrier();\
-                } while (0)
-
-/** \brief  Reverse byte order (32 bit)
-
-    This function reverses the byte order in integer value.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-#define __REV                             __rev
-
-
-/** \brief  Reverse byte order (16 bit)
-
-    This function reverses the byte order in two unsigned short values.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-#ifndef __NO_EMBEDDED_ASM
-__attribute__((section(".rev16_text"))) __STATIC_INLINE __ASM uint32_t __REV16(uint32_t value)
-{
-  rev16 r0, r0
-  bx lr
-}
-#endif
-
-/** \brief  Reverse byte order in signed short value
-
-    This function reverses the byte order in a signed short value with sign extension to integer.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-#ifndef __NO_EMBEDDED_ASM
-__attribute__((section(".revsh_text"))) __STATIC_INLINE __ASM int32_t __REVSH(int32_t value)
-{
-  revsh r0, r0
-  bx lr
-}
-#endif
-
-
-/** \brief  Rotate Right in unsigned value (32 bit)
-
-    This function Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits.
-
-    \param [in]    value  Value to rotate
-    \param [in]    value  Number of Bits to rotate
-    \return               Rotated value
- */
-#define __ROR                             __ror
-
-
-/** \brief  Breakpoint
-
-    This function causes the processor to enter Debug state.
-    Debug tools can use this to investigate system state when the instruction at a particular address is reached.
-
-    \param [in]    value  is ignored by the processor.
-                   If required, a debugger can use it to store additional information about the breakpoint.
- */
-#define __BKPT(value)                       __breakpoint(value)
-
-
-/** \brief  Reverse bit order of value
-
-    This function reverses the bit order of the given value.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-#if       (__CORTEX_M >= 0x03) || (__CORTEX_SC >= 300)
-  #define __RBIT                          __rbit
-#else
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __RBIT(uint32_t value)
-{
-  uint32_t result;
-  int32_t s = 4 /*sizeof(v)*/ * 8 - 1; // extra shift needed at end
-
-  result = value;                      // r will be reversed bits of v; first get LSB of v
-  for (value >>= 1; value; value >>= 1)
-  {
-    result <<= 1;
-    result |= value & 1;
-    s--;
-  }
-  result <<= s;                       // shift when v's highest bits are zero
-  return(result);
-}
-#endif
-
-
-/** \brief  Count leading zeros
-
-    This function counts the number of leading zeros of a data value.
-
-    \param [in]  value  Value to count the leading zeros
-    \return             number of leading zeros in value
- */
-#define __CLZ                             __clz
-
-
-#if       (__CORTEX_M >= 0x03) || (__CORTEX_SC >= 300)
-
-/** \brief  LDR Exclusive (8 bit)
-
-    This function executes a exclusive LDR instruction for 8 bit value.
-
-    \param [in]    ptr  Pointer to data
-    \return             value of type uint8_t at (*ptr)
- */
-#define __LDREXB(ptr)                     ((uint8_t ) __ldrex(ptr))
-
-
-/** \brief  LDR Exclusive (16 bit)
-
-    This function executes a exclusive LDR instruction for 16 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint16_t at (*ptr)
- */
-#define __LDREXH(ptr)                     ((uint16_t) __ldrex(ptr))
-
-
-/** \brief  LDR Exclusive (32 bit)
-
-    This function executes a exclusive LDR instruction for 32 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint32_t at (*ptr)
- */
-#define __LDREXW(ptr)                     ((uint32_t ) __ldrex(ptr))
-
-
-/** \brief  STR Exclusive (8 bit)
-
-    This function executes a exclusive STR instruction for 8 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-#define __STREXB(value, ptr)              __strex(value, ptr)
-
-
-/** \brief  STR Exclusive (16 bit)
-
-    This function executes a exclusive STR instruction for 16 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-#define __STREXH(value, ptr)              __strex(value, ptr)
-
-
-/** \brief  STR Exclusive (32 bit)
-
-    This function executes a exclusive STR instruction for 32 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-#define __STREXW(value, ptr)              __strex(value, ptr)
-
-
-/** \brief  Remove the exclusive lock
-
-    This function removes the exclusive lock which is created by LDREX.
-
- */
-#define __CLREX                           __clrex
-
-
-/** \brief  Signed Saturate
-
-    This function saturates a signed value.
-
-    \param [in]  value  Value to be saturated
-    \param [in]    sat  Bit position to saturate to (1..32)
-    \return             Saturated value
- */
-#define __SSAT                            __ssat
-
-
-/** \brief  Unsigned Saturate
-
-    This function saturates an unsigned value.
-
-    \param [in]  value  Value to be saturated
-    \param [in]    sat  Bit position to saturate to (0..31)
-    \return             Saturated value
- */
-#define __USAT                            __usat
-
-
-/** \brief  Rotate Right with Extend (32 bit)
-
-    This function moves each bit of a bitstring right by one bit.
-    The carry input is shifted in at the left end of the bitstring.
-
-    \param [in]    value  Value to rotate
-    \return               Rotated value
- */
-#ifndef __NO_EMBEDDED_ASM
-__attribute__((section(".rrx_text"))) __STATIC_INLINE __ASM uint32_t __RRX(uint32_t value)
-{
-  rrx r0, r0
-  bx lr
-}
-#endif
-
-
-/** \brief  LDRT Unprivileged (8 bit)
-
-    This function executes a Unprivileged LDRT instruction for 8 bit value.
-
-    \param [in]    ptr  Pointer to data
-    \return             value of type uint8_t at (*ptr)
- */
-#define __LDRBT(ptr)                      ((uint8_t )  __ldrt(ptr))
-
-
-/** \brief  LDRT Unprivileged (16 bit)
-
-    This function executes a Unprivileged LDRT instruction for 16 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint16_t at (*ptr)
- */
-#define __LDRHT(ptr)                      ((uint16_t)  __ldrt(ptr))
-
-
-/** \brief  LDRT Unprivileged (32 bit)
-
-    This function executes a Unprivileged LDRT instruction for 32 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint32_t at (*ptr)
- */
-#define __LDRT(ptr)                       ((uint32_t ) __ldrt(ptr))
-
-
-/** \brief  STRT Unprivileged (8 bit)
-
-    This function executes a Unprivileged STRT instruction for 8 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
- */
-#define __STRBT(value, ptr)               __strt(value, ptr)
-
-
-/** \brief  STRT Unprivileged (16 bit)
-
-    This function executes a Unprivileged STRT instruction for 16 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
- */
-#define __STRHT(value, ptr)               __strt(value, ptr)
-
-
-/** \brief  STRT Unprivileged (32 bit)
-
-    This function executes a Unprivileged STRT instruction for 32 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
- */
-#define __STRT(value, ptr)                __strt(value, ptr)
-
-#endif /* (__CORTEX_M >= 0x03) || (__CORTEX_SC >= 300) */
-
-
-#elif defined ( __GNUC__ ) /*------------------ GNU Compiler ---------------------*/
-/* GNU gcc specific functions */
-
-/* Define macros for porting to both thumb1 and thumb2.
- * For thumb1, use low register (r0-r7), specified by constrant "l"
- * Otherwise, use general registers, specified by constrant "r" */
-#if defined (__thumb__) && !defined (__thumb2__)
-#define __CMSIS_GCC_OUT_REG(r) "=l" (r)
-#define __CMSIS_GCC_USE_REG(r) "l" (r)
-#else
-#define __CMSIS_GCC_OUT_REG(r) "=r" (r)
-#define __CMSIS_GCC_USE_REG(r) "r" (r)
-#endif
-
-/** \brief  No Operation
-
-    No Operation does nothing. This instruction can be used for code alignment purposes.
- */
-__attribute__((always_inline)) __STATIC_INLINE void __NOP(void)
-{
-  __ASM volatile ("nop");
-}
-
-
-/** \brief  Wait For Interrupt
-
-    Wait For Interrupt is a hint instruction that suspends execution
-    until one of a number of events occurs.
- */
-__attribute__((always_inline)) __STATIC_INLINE void __WFI(void)
-{
-  __ASM volatile ("wfi");
-}
-
-
-/** \brief  Wait For Event
-
-    Wait For Event is a hint instruction that permits the processor to enter
-    a low-power state until one of a number of events occurs.
- */
-__attribute__((always_inline)) __STATIC_INLINE void __WFE(void)
-{
-  __ASM volatile ("wfe");
-}
-
-
-/** \brief  Send Event
-
-    Send Event is a hint instruction. It causes an event to be signaled to the CPU.
- */
-__attribute__((always_inline)) __STATIC_INLINE void __SEV(void)
-{
-  __ASM volatile ("sev");
-}
-
-
-/** \brief  Instruction Synchronization Barrier
-
-    Instruction Synchronization Barrier flushes the pipeline in the processor,
-    so that all instructions following the ISB are fetched from cache or
-    memory, after the instruction has been completed.
- */
-__attribute__((always_inline)) __STATIC_INLINE void __ISB(void)
-{
-  __ASM volatile ("isb 0xF":::"memory");
-}
-
-
-/** \brief  Data Synchronization Barrier
-
-    This function acts as a special kind of Data Memory Barrier.
-    It completes when all explicit memory accesses before this instruction complete.
- */
-__attribute__((always_inline)) __STATIC_INLINE void __DSB(void)
-{
-  __ASM volatile ("dsb 0xF":::"memory");
-}
-
-
-/** \brief  Data Memory Barrier
-
-    This function ensures the apparent order of the explicit memory operations before
-    and after the instruction, without ensuring their completion.
- */
-__attribute__((always_inline)) __STATIC_INLINE void __DMB(void)
-{
-  __ASM volatile ("dmb 0xF":::"memory");
-}
-
-
-/** \brief  Reverse byte order (32 bit)
-
-    This function reverses the byte order in integer value.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __REV(uint32_t value)
-{
-#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 5)
-  return __builtin_bswap32(value);
-#else
-  uint32_t result;
-
-  __ASM volatile ("rev %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
-  return(result);
-#endif
-}
-
-
-/** \brief  Reverse byte order (16 bit)
-
-    This function reverses the byte order in two unsigned short values.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __REV16(uint32_t value)
-{
-  uint32_t result;
-
-  __ASM volatile ("rev16 %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
-  return(result);
-}
-
-
-/** \brief  Reverse byte order in signed short value
-
-    This function reverses the byte order in a signed short value with sign extension to integer.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-__attribute__((always_inline)) __STATIC_INLINE int32_t __REVSH(int32_t value)
-{
-#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8)
-  return (short)__builtin_bswap16(value);
-#else
-  uint32_t result;
-
-  __ASM volatile ("revsh %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
-  return(result);
-#endif
-}
-
-
-/** \brief  Rotate Right in unsigned value (32 bit)
-
-    This function Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits.
-
-    \param [in]    value  Value to rotate
-    \param [in]    value  Number of Bits to rotate
-    \return               Rotated value
- */
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __ROR(uint32_t op1, uint32_t op2)
-{
-  return (op1 >> op2) | (op1 << (32 - op2));
-}
-
-
-/** \brief  Breakpoint
-
-    This function causes the processor to enter Debug state.
-    Debug tools can use this to investigate system state when the instruction at a particular address is reached.
-
-    \param [in]    value  is ignored by the processor.
-                   If required, a debugger can use it to store additional information about the breakpoint.
- */
-#define __BKPT(value)                       __ASM volatile ("bkpt "#value)
-
-
-/** \brief  Reverse bit order of value
-
-    This function reverses the bit order of the given value.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __RBIT(uint32_t value)
-{
-  uint32_t result;
-
-#if       (__CORTEX_M >= 0x03) || (__CORTEX_SC >= 300)
-   __ASM volatile ("rbit %0, %1" : "=r" (result) : "r" (value) );
-#else
-  int32_t s = 4 /*sizeof(v)*/ * 8 - 1; // extra shift needed at end
-
-  result = value;                      // r will be reversed bits of v; first get LSB of v
-  for (value >>= 1; value; value >>= 1)
-  {
-    result <<= 1;
-    result |= value & 1;
-    s--;
-  }
-  result <<= s;                       // shift when v's highest bits are zero
-#endif
-  return(result);
-}
-
-
-/** \brief  Count leading zeros
-
-    This function counts the number of leading zeros of a data value.
-
-    \param [in]  value  Value to count the leading zeros
-    \return             number of leading zeros in value
- */
-#define __CLZ             __builtin_clz
-
-
-#if       (__CORTEX_M >= 0x03) || (__CORTEX_SC >= 300)
-
-/** \brief  LDR Exclusive (8 bit)
-
-    This function executes a exclusive LDR instruction for 8 bit value.
-
-    \param [in]    ptr  Pointer to data
-    \return             value of type uint8_t at (*ptr)
- */
-__attribute__((always_inline)) __STATIC_INLINE uint8_t __LDREXB(volatile uint8_t *addr)
-{
-    uint32_t result;
-
-#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8)
-   __ASM volatile ("ldrexb %0, %1" : "=r" (result) : "Q" (*addr) );
-#else
-    /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not
-       accepted by assembler. So has to use following less efficient pattern.
-    */
-   __ASM volatile ("ldrexb %0, [%1]" : "=r" (result) : "r" (addr) : "memory" );
-#endif
-   return ((uint8_t) result);    /* Add explicit type cast here */
-}
-
-
-/** \brief  LDR Exclusive (16 bit)
-
-    This function executes a exclusive LDR instruction for 16 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint16_t at (*ptr)
- */
-__attribute__((always_inline)) __STATIC_INLINE uint16_t __LDREXH(volatile uint16_t *addr)
-{
-    uint32_t result;
-
-#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8)
-   __ASM volatile ("ldrexh %0, %1" : "=r" (result) : "Q" (*addr) );
-#else
-    /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not
-       accepted by assembler. So has to use following less efficient pattern.
-    */
-   __ASM volatile ("ldrexh %0, [%1]" : "=r" (result) : "r" (addr) : "memory" );
-#endif
-   return ((uint16_t) result);    /* Add explicit type cast here */
-}
-
-
-/** \brief  LDR Exclusive (32 bit)
-
-    This function executes a exclusive LDR instruction for 32 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint32_t at (*ptr)
- */
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __LDREXW(volatile uint32_t *addr)
-{
-    uint32_t result;
-
-   __ASM volatile ("ldrex %0, %1" : "=r" (result) : "Q" (*addr) );
-   return(result);
-}
-
-
-/** \brief  STR Exclusive (8 bit)
-
-    This function executes a exclusive STR instruction for 8 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __STREXB(uint8_t value, volatile uint8_t *addr)
-{
-   uint32_t result;
-
-   __ASM volatile ("strexb %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" ((uint32_t)value) );
-   return(result);
-}
-
-
-/** \brief  STR Exclusive (16 bit)
-
-    This function executes a exclusive STR instruction for 16 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __STREXH(uint16_t value, volatile uint16_t *addr)
-{
-   uint32_t result;
-
-   __ASM volatile ("strexh %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" ((uint32_t)value) );
-   return(result);
-}
-
-
-/** \brief  STR Exclusive (32 bit)
-
-    This function executes a exclusive STR instruction for 32 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __STREXW(uint32_t value, volatile uint32_t *addr)
-{
-   uint32_t result;
-
-   __ASM volatile ("strex %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" (value) );
-   return(result);
-}
-
-
-/** \brief  Remove the exclusive lock
-
-    This function removes the exclusive lock which is created by LDREX.
-
- */
-__attribute__((always_inline)) __STATIC_INLINE void __CLREX(void)
-{
-  __ASM volatile ("clrex" ::: "memory");
-}
-
-
-/** \brief  Signed Saturate
-
-    This function saturates a signed value.
-
-    \param [in]  value  Value to be saturated
-    \param [in]    sat  Bit position to saturate to (1..32)
-    \return             Saturated value
- */
-#define __SSAT(ARG1,ARG2) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1); \
-  __ASM ("ssat %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
-  __RES; \
- })
-
-
-/** \brief  Unsigned Saturate
-
-    This function saturates an unsigned value.
-
-    \param [in]  value  Value to be saturated
-    \param [in]    sat  Bit position to saturate to (0..31)
-    \return             Saturated value
- */
-#define __USAT(ARG1,ARG2) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1); \
-  __ASM ("usat %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
-  __RES; \
- })
-
-
-/** \brief  Rotate Right with Extend (32 bit)
-
-    This function moves each bit of a bitstring right by one bit.
-    The carry input is shifted in at the left end of the bitstring.
-
-    \param [in]    value  Value to rotate
-    \return               Rotated value
- */
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __RRX(uint32_t value)
-{
-  uint32_t result;
-
-  __ASM volatile ("rrx %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
-  return(result);
-}
-
-
-/** \brief  LDRT Unprivileged (8 bit)
-
-    This function executes a Unprivileged LDRT instruction for 8 bit value.
-
-    \param [in]    ptr  Pointer to data
-    \return             value of type uint8_t at (*ptr)
- */
-__attribute__((always_inline)) __STATIC_INLINE uint8_t __LDRBT(volatile uint8_t *addr)
-{
-    uint32_t result;
-
-#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8)
-   __ASM volatile ("ldrbt %0, %1" : "=r" (result) : "Q" (*addr) );
-#else
-    /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not
-       accepted by assembler. So has to use following less efficient pattern.
-    */
-   __ASM volatile ("ldrbt %0, [%1]" : "=r" (result) : "r" (addr) : "memory" );
-#endif
-   return ((uint8_t) result);    /* Add explicit type cast here */
-}
-
-
-/** \brief  LDRT Unprivileged (16 bit)
-
-    This function executes a Unprivileged LDRT instruction for 16 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint16_t at (*ptr)
- */
-__attribute__((always_inline)) __STATIC_INLINE uint16_t __LDRHT(volatile uint16_t *addr)
-{
-    uint32_t result;
-
-#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8)
-   __ASM volatile ("ldrht %0, %1" : "=r" (result) : "Q" (*addr) );
-#else
-    /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not
-       accepted by assembler. So has to use following less efficient pattern.
-    */
-   __ASM volatile ("ldrht %0, [%1]" : "=r" (result) : "r" (addr) : "memory" );
-#endif
-   return ((uint16_t) result);    /* Add explicit type cast here */
-}
-
-
-/** \brief  LDRT Unprivileged (32 bit)
-
-    This function executes a Unprivileged LDRT instruction for 32 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint32_t at (*ptr)
- */
-__attribute__((always_inline)) __STATIC_INLINE uint32_t __LDRT(volatile uint32_t *addr)
-{
-    uint32_t result;
-
-   __ASM volatile ("ldrt %0, %1" : "=r" (result) : "Q" (*addr) );
-   return(result);
-}
-
-
-/** \brief  STRT Unprivileged (8 bit)
-
-    This function executes a Unprivileged STRT instruction for 8 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
- */
-__attribute__((always_inline)) __STATIC_INLINE void __STRBT(uint8_t value, volatile uint8_t *addr)
-{
-   __ASM volatile ("strbt %1, %0" : "=Q" (*addr) : "r" ((uint32_t)value) );
-}
-
-
-/** \brief  STRT Unprivileged (16 bit)
-
-    This function executes a Unprivileged STRT instruction for 16 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
- */
-__attribute__((always_inline)) __STATIC_INLINE void __STRHT(uint16_t value, volatile uint16_t *addr)
-{
-   __ASM volatile ("strht %1, %0" : "=Q" (*addr) : "r" ((uint32_t)value) );
-}
-
-
-/** \brief  STRT Unprivileged (32 bit)
-
-    This function executes a Unprivileged STRT instruction for 32 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
- */
-__attribute__((always_inline)) __STATIC_INLINE void __STRT(uint32_t value, volatile uint32_t *addr)
-{
-   __ASM volatile ("strt %1, %0" : "=Q" (*addr) : "r" (value) );
-}
-
-#endif /* (__CORTEX_M >= 0x03) || (__CORTEX_SC >= 300) */
-
-
-#elif defined ( __ICCARM__ ) /*------------------ ICC Compiler -------------------*/
-/* IAR iccarm specific functions */
-#include 
-
-
-#elif defined ( __TMS470__ ) /*---------------- TI CCS Compiler ------------------*/
-/* TI CCS specific functions */
-#include 
-
-
-#elif defined ( __TASKING__ ) /*------------------ TASKING Compiler --------------*/
-/* TASKING carm specific functions */
-/*
- * The CMSIS functions have been implemented as intrinsics in the compiler.
- * Please use "carm -?i" to get an up to date list of all intrinsics,
- * Including the CMSIS ones.
- */
-
-
-#elif defined ( __CSMC__ ) /*------------------ COSMIC Compiler -------------------*/
-/* Cosmic specific functions */
-#include 
-
-#endif
-
-/*@}*/ /* end of group CMSIS_Core_InstructionInterface */
-
-#endif /* __CORE_CMINSTR_H */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cmSimd.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cmSimd.h
deleted file mode 100644
index 7b8e37ff..00000000
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_cmSimd.h
+++ /dev/null
@@ -1,697 +0,0 @@
-/**************************************************************************//**
- * @file     core_cmSimd.h
- * @brief    CMSIS Cortex-M SIMD Header File
- * @version  V4.10
- * @date     18. March 2015
- *
- * @note
- *
- ******************************************************************************/
-/* Copyright (c) 2009 - 2014 ARM LIMITED
-
-   All rights reserved.
-   Redistribution and use in source and binary forms, with or without
-   modification, are permitted provided that the following conditions are met:
-   - Redistributions of source code must retain the above copyright
-     notice, this list of conditions and the following disclaimer.
-   - Redistributions in binary form must reproduce the above copyright
-     notice, this list of conditions and the following disclaimer in the
-     documentation and/or other materials provided with the distribution.
-   - Neither the name of ARM nor the names of its contributors may be used
-     to endorse or promote products derived from this software without
-     specific prior written permission.
-   *
-   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
-   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-   POSSIBILITY OF SUCH DAMAGE.
-   ---------------------------------------------------------------------------*/
-
-
-#if defined ( __ICCARM__ )
- #pragma system_include  /* treat file as system include file for MISRA check */
-#endif
-
-#ifndef __CORE_CMSIMD_H
-#define __CORE_CMSIMD_H
-
-#ifdef __cplusplus
- extern "C" {
-#endif
-
-
-/*******************************************************************************
- *                Hardware Abstraction Layer
- ******************************************************************************/
-
-
-/* ###################  Compiler specific Intrinsics  ########################### */
-/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics
-  Access to dedicated SIMD instructions
-  @{
-*/
-
-#if   defined ( __CC_ARM ) /*------------------RealView Compiler -----------------*/
-/* ARM armcc specific functions */
-#define __SADD8                           __sadd8
-#define __QADD8                           __qadd8
-#define __SHADD8                          __shadd8
-#define __UADD8                           __uadd8
-#define __UQADD8                          __uqadd8
-#define __UHADD8                          __uhadd8
-#define __SSUB8                           __ssub8
-#define __QSUB8                           __qsub8
-#define __SHSUB8                          __shsub8
-#define __USUB8                           __usub8
-#define __UQSUB8                          __uqsub8
-#define __UHSUB8                          __uhsub8
-#define __SADD16                          __sadd16
-#define __QADD16                          __qadd16
-#define __SHADD16                         __shadd16
-#define __UADD16                          __uadd16
-#define __UQADD16                         __uqadd16
-#define __UHADD16                         __uhadd16
-#define __SSUB16                          __ssub16
-#define __QSUB16                          __qsub16
-#define __SHSUB16                         __shsub16
-#define __USUB16                          __usub16
-#define __UQSUB16                         __uqsub16
-#define __UHSUB16                         __uhsub16
-#define __SASX                            __sasx
-#define __QASX                            __qasx
-#define __SHASX                           __shasx
-#define __UASX                            __uasx
-#define __UQASX                           __uqasx
-#define __UHASX                           __uhasx
-#define __SSAX                            __ssax
-#define __QSAX                            __qsax
-#define __SHSAX                           __shsax
-#define __USAX                            __usax
-#define __UQSAX                           __uqsax
-#define __UHSAX                           __uhsax
-#define __USAD8                           __usad8
-#define __USADA8                          __usada8
-#define __SSAT16                          __ssat16
-#define __USAT16                          __usat16
-#define __UXTB16                          __uxtb16
-#define __UXTAB16                         __uxtab16
-#define __SXTB16                          __sxtb16
-#define __SXTAB16                         __sxtab16
-#define __SMUAD                           __smuad
-#define __SMUADX                          __smuadx
-#define __SMLAD                           __smlad
-#define __SMLADX                          __smladx
-#define __SMLALD                          __smlald
-#define __SMLALDX                         __smlaldx
-#define __SMUSD                           __smusd
-#define __SMUSDX                          __smusdx
-#define __SMLSD                           __smlsd
-#define __SMLSDX                          __smlsdx
-#define __SMLSLD                          __smlsld
-#define __SMLSLDX                         __smlsldx
-#define __SEL                             __sel
-#define __QADD                            __qadd
-#define __QSUB                            __qsub
-
-#define __PKHBT(ARG1,ARG2,ARG3)          ( ((((uint32_t)(ARG1))          ) & 0x0000FFFFUL) |  \
-                                           ((((uint32_t)(ARG2)) << (ARG3)) & 0xFFFF0000UL)  )
-
-#define __PKHTB(ARG1,ARG2,ARG3)          ( ((((uint32_t)(ARG1))          ) & 0xFFFF0000UL) |  \
-                                           ((((uint32_t)(ARG2)) >> (ARG3)) & 0x0000FFFFUL)  )
-
-#define __SMMLA(ARG1,ARG2,ARG3)          ( (int32_t)((((int64_t)(ARG1) * (ARG2)) + \
-                                                      ((int64_t)(ARG3) << 32)      ) >> 32))
-
-
-#elif defined ( __GNUC__ ) /*------------------ GNU Compiler ---------------------*/
-/* GNU gcc specific functions */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("sadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SSUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("ssub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHSUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("usub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQSUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHSUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("sadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SSUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("ssub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHSUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("usub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQSUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHSUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("sasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SSAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("ssax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHSAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("usax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQSAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHSAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USAD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("usad8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USADA8(uint32_t op1, uint32_t op2, uint32_t op3)
-{
-  uint32_t result;
-
-  __ASM volatile ("usada8 %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
-  return(result);
-}
-
-#define __SSAT16(ARG1,ARG2) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1); \
-  __ASM ("ssat16 %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
-  __RES; \
- })
-
-#define __USAT16(ARG1,ARG2) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1); \
-  __ASM ("usat16 %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
-  __RES; \
- })
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UXTB16(uint32_t op1)
-{
-  uint32_t result;
-
-  __ASM volatile ("uxtb16 %0, %1" : "=r" (result) : "r" (op1));
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UXTAB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SXTB16(uint32_t op1)
-{
-  uint32_t result;
-
-  __ASM volatile ("sxtb16 %0, %1" : "=r" (result) : "r" (op1));
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SXTAB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("sxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUAD  (uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("smuad %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUADX (uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("smuadx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLAD (uint32_t op1, uint32_t op2, uint32_t op3)
-{
-  uint32_t result;
-
-  __ASM volatile ("smlad %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLADX (uint32_t op1, uint32_t op2, uint32_t op3)
-{
-  uint32_t result;
-
-  __ASM volatile ("smladx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint64_t __SMLALD (uint32_t op1, uint32_t op2, uint64_t acc)
-{
-  union llreg_u{
-    uint32_t w32[2];
-    uint64_t w64;
-  } llr;
-  llr.w64 = acc;
-
-#ifndef __ARMEB__   // Little endian
-  __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
-#else               // Big endian
-  __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
-#endif
-
-  return(llr.w64);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint64_t __SMLALDX (uint32_t op1, uint32_t op2, uint64_t acc)
-{
-  union llreg_u{
-    uint32_t w32[2];
-    uint64_t w64;
-  } llr;
-  llr.w64 = acc;
-
-#ifndef __ARMEB__   // Little endian
-  __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
-#else               // Big endian
-  __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
-#endif
-
-  return(llr.w64);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUSD  (uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("smusd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUSDX (uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("smusdx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLSD (uint32_t op1, uint32_t op2, uint32_t op3)
-{
-  uint32_t result;
-
-  __ASM volatile ("smlsd %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLSDX (uint32_t op1, uint32_t op2, uint32_t op3)
-{
-  uint32_t result;
-
-  __ASM volatile ("smlsdx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint64_t __SMLSLD (uint32_t op1, uint32_t op2, uint64_t acc)
-{
-  union llreg_u{
-    uint32_t w32[2];
-    uint64_t w64;
-  } llr;
-  llr.w64 = acc;
-
-#ifndef __ARMEB__   // Little endian
-  __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
-#else               // Big endian
-  __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
-#endif
-
-  return(llr.w64);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint64_t __SMLSLDX (uint32_t op1, uint32_t op2, uint64_t acc)
-{
-  union llreg_u{
-    uint32_t w32[2];
-    uint64_t w64;
-  } llr;
-  llr.w64 = acc;
-
-#ifndef __ARMEB__   // Little endian
-  __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
-#else               // Big endian
-  __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
-#endif
-
-  return(llr.w64);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SEL  (uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("sel %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QADD(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qadd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSUB(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qsub %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-#define __PKHBT(ARG1,ARG2,ARG3) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \
-  __ASM ("pkhbt %0, %1, %2, lsl %3" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2), "I" (ARG3)  ); \
-  __RES; \
- })
-
-#define __PKHTB(ARG1,ARG2,ARG3) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \
-  if (ARG3 == 0) \
-    __ASM ("pkhtb %0, %1, %2" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2)  ); \
-  else \
-    __ASM ("pkhtb %0, %1, %2, asr %3" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2), "I" (ARG3)  ); \
-  __RES; \
- })
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMMLA (int32_t op1, int32_t op2, int32_t op3)
-{
- int32_t result;
-
- __ASM volatile ("smmla %0, %1, %2, %3" : "=r" (result): "r"  (op1), "r" (op2), "r" (op3) );
- return(result);
-}
-
-
-#elif defined ( __ICCARM__ ) /*------------------ ICC Compiler -------------------*/
-/* IAR iccarm specific functions */
-#include 
-
-
-#elif defined ( __TMS470__ ) /*---------------- TI CCS Compiler ------------------*/
-/* TI CCS specific functions */
-#include 
-
-
-#elif defined ( __TASKING__ ) /*------------------ TASKING Compiler --------------*/
-/* TASKING carm specific functions */
-/* not yet supported */
-
-
-#elif defined ( __CSMC__ ) /*------------------ COSMIC Compiler -------------------*/
-/* Cosmic specific functions */
-#include 
-
-#endif
-
-/*@} end of group CMSIS_SIMD_intrinsics */
-
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif /* __CORE_CMSIMD_H */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_sc000.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_sc000.h
index 44cb0274..9b67c92f 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_sc000.h
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_sc000.h
@@ -1,52 +1,44 @@
 /**************************************************************************//**
  * @file     core_sc000.h
  * @brief    CMSIS SC000 Core Peripheral Access Layer Header File
- * @version  V4.10
- * @date     18. March 2015
+ * @version  V5.0.5
+ * @date     28. May 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
  *
- * @note
+ * SPDX-License-Identifier: Apache-2.0
  *
- ******************************************************************************/
-/* Copyright (c) 2009 - 2015 ARM LIMITED
-
-   All rights reserved.
-   Redistribution and use in source and binary forms, with or without
-   modification, are permitted provided that the following conditions are met:
-   - Redistributions of source code must retain the above copyright
-     notice, this list of conditions and the following disclaimer.
-   - Redistributions in binary form must reproduce the above copyright
-     notice, this list of conditions and the following disclaimer in the
-     documentation and/or other materials provided with the distribution.
-   - Neither the name of ARM nor the names of its contributors may be used
-     to endorse or promote products derived from this software without
-     specific prior written permission.
-   *
-   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
-   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-   POSSIBILITY OF SUCH DAMAGE.
-   ---------------------------------------------------------------------------*/
-
-
-#if defined ( __ICCARM__ )
- #pragma system_include  /* treat file as system include file for MISRA check */
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if   defined ( __ICCARM__ )
+  #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined (__clang__)
+  #pragma clang system_header   /* treat file as system include file */
 #endif
 
 #ifndef __CORE_SC000_H_GENERIC
 #define __CORE_SC000_H_GENERIC
 
+#include 
+
 #ifdef __cplusplus
  extern "C" {
 #endif
 
-/** \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
   CMSIS violates the following MISRA-C:2004 rules:
 
    \li Required Rule 8.5, object/function definition in header file.

@@ -63,74 +55,49 @@
 /*******************************************************************************
  *                 CMSIS definitions
  ******************************************************************************/
-/** \ingroup SC000
+/**
+  \ingroup SC000
   @{
  */
 
-/*  CMSIS SC000 definitions */
-#define __SC000_CMSIS_VERSION_MAIN  (0x04)                                   /*!< [31:16] CMSIS HAL main version */
-#define __SC000_CMSIS_VERSION_SUB   (0x00)                                   /*!< [15:0]  CMSIS HAL sub version  */
-#define __SC000_CMSIS_VERSION       ((__SC000_CMSIS_VERSION_MAIN << 16) | \
-                                      __SC000_CMSIS_VERSION_SUB          )   /*!< CMSIS HAL version number       */
-
-#define __CORTEX_SC                 (000)                                       /*!< Cortex secure core             */
-
-
-#if   defined ( __CC_ARM )
-  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler          */
-  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler       */
-  #define __STATIC_INLINE  static __inline
-
-#elif defined ( __GNUC__ )
-  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __ICCARM__ )
-  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TMS470__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TASKING__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler      */
-  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler   */
-  #define __STATIC_INLINE  static inline
+#include "cmsis_version.h"
 
-#elif defined ( __CSMC__ )
-  #define __packed
-  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler      */
-  #define __INLINE         inline                                    /*use -pc99 on compile line !< inline keyword for COSMIC Compiler   */
-  #define __STATIC_INLINE  static inline
+/*  CMSIS SC000 definitions */
+#define __SC000_CMSIS_VERSION_MAIN  (__CM_CMSIS_VERSION_MAIN)                /*!< \deprecated [31:16] CMSIS HAL main version */
+#define __SC000_CMSIS_VERSION_SUB   (__CM_CMSIS_VERSION_SUB)                 /*!< \deprecated [15:0]  CMSIS HAL sub version */
+#define __SC000_CMSIS_VERSION       ((__SC000_CMSIS_VERSION_MAIN << 16U) | \
+                                      __SC000_CMSIS_VERSION_SUB           )  /*!< \deprecated CMSIS HAL version number */
 
-#endif
+#define __CORTEX_SC                 (000U)                                   /*!< Cortex secure core */
 
 /** __FPU_USED indicates whether an FPU is used or not.
     This core does not support an FPU at all
 */
-#define __FPU_USED       0
+#define __FPU_USED       0U
 
 #if defined ( __CC_ARM )
   #if defined __TARGET_FPU_VFP
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __GNUC__ )
   #if defined (__VFP_FP__) && !defined(__SOFTFP__)
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __ICCARM__ )
   #if defined __ARMVFP__
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
-#elif defined ( __TMS470__ )
-  #if defined __TI__VFP_SUPPORT____
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+#elif defined ( __TI_ARM__ )
+  #if defined __TI_VFP_SUPPORT__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __TASKING__ )
@@ -138,15 +105,15 @@
     #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
-#elif defined ( __CSMC__ )		/* Cosmic */
-  #if ( __CSMC__ & 0x400)		// FPU present for parser
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
     #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
+
 #endif
 
-#include                       /* standard types definitions                      */
-#include                 /* Core Instruction Access                         */
-#include                  /* Core Function Access                            */
+#include "cmsis_compiler.h"               /* CMSIS compiler specific defines */
+
 
 #ifdef __cplusplus
 }
@@ -166,22 +133,22 @@
 /* check device defines and use defaults */
 #if defined __CHECK_DEVICE_DEFINES
   #ifndef __SC000_REV
-    #define __SC000_REV             0x0000
+    #define __SC000_REV             0x0000U
     #warning "__SC000_REV not defined in device header file; using default!"
   #endif
 
   #ifndef __MPU_PRESENT
-    #define __MPU_PRESENT             0
+    #define __MPU_PRESENT             0U
     #warning "__MPU_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __NVIC_PRIO_BITS
-    #define __NVIC_PRIO_BITS          2
+    #define __NVIC_PRIO_BITS          2U
     #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
   #endif
 
   #ifndef __Vendor_SysTickConfig
-    #define __Vendor_SysTickConfig    0
+    #define __Vendor_SysTickConfig    0U
     #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
   #endif
 #endif
@@ -195,12 +162,17 @@
     \li for automatic generation of peripheral register debug information.
 */
 #ifdef __cplusplus
-  #define   __I     volatile             /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
 #else
-  #define   __I     volatile const       /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
 #endif
-#define     __O     volatile             /*!< Defines 'write only' permissions                */
-#define     __IO    volatile             /*!< Defines 'read / write' permissions              */
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
 
 /*@} end of group SC000 */
 
@@ -215,443 +187,486 @@
   - Core SysTick Register
   - Core MPU Register
  ******************************************************************************/
-/** \defgroup CMSIS_core_register Defines and Type Definitions
-    \brief Type definitions and defines for Cortex-M processor based devices.
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
 */
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_CORE  Status and Control Registers
-    \brief  Core Register type definitions.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
   @{
  */
 
-/** \brief  Union type to access the Application Program Status Register (APSR).
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t _reserved0:28;              /*!< bit:  0..27  Reserved                           */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t _reserved0:28;              /*!< bit:  0..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } APSR_Type;
 
 /* APSR Register Definitions */
-#define APSR_N_Pos                         31                                             /*!< APSR: N Position */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
 #define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
 
-#define APSR_Z_Pos                         30                                             /*!< APSR: Z Position */
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
 #define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
 
-#define APSR_C_Pos                         29                                             /*!< APSR: C Position */
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
 #define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
 
-#define APSR_V_Pos                         28                                             /*!< APSR: V Position */
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
 #define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
 
 
-/** \brief  Union type to access the Interrupt Program Status Register (IPSR).
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } IPSR_Type;
 
 /* IPSR Register Definitions */
-#define IPSR_ISR_Pos                        0                                             /*!< IPSR: ISR Position */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
 #define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved                           */
-    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0)          */
-    uint32_t _reserved1:3;               /*!< bit: 25..27  Reserved                           */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0) */
+    uint32_t _reserved1:3;               /*!< bit: 25..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } xPSR_Type;
 
 /* xPSR Register Definitions */
-#define xPSR_N_Pos                         31                                             /*!< xPSR: N Position */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
 #define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
 
-#define xPSR_Z_Pos                         30                                             /*!< xPSR: Z Position */
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
 #define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
 
-#define xPSR_C_Pos                         29                                             /*!< xPSR: C Position */
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
 #define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
 
-#define xPSR_V_Pos                         28                                             /*!< xPSR: V Position */
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
 #define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
 
-#define xPSR_T_Pos                         24                                             /*!< xPSR: T Position */
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
 #define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
 
-#define xPSR_ISR_Pos                        0                                             /*!< xPSR: ISR Position */
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
 #define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Control Registers (CONTROL).
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
  */
 typedef union
 {
   struct
   {
-    uint32_t _reserved0:1;               /*!< bit:      0  Reserved                           */
-    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used                   */
-    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t _reserved0:1;               /*!< bit:      0  Reserved */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } CONTROL_Type;
 
 /* CONTROL Register Definitions */
-#define CONTROL_SPSEL_Pos                   1                                             /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
 #define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
 
 /*@} end of group CMSIS_CORE */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
-    \brief      Type definitions for the NVIC Registers
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
   @{
  */
 
-/** \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
  */
 typedef struct
 {
-  __IO uint32_t ISER[1];                 /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register           */
-       uint32_t RESERVED0[31];
-  __IO uint32_t ICER[1];                 /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register          */
-       uint32_t RSERVED1[31];
-  __IO uint32_t ISPR[1];                 /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register           */
-       uint32_t RESERVED2[31];
-  __IO uint32_t ICPR[1];                 /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register         */
-       uint32_t RESERVED3[31];
-       uint32_t RESERVED4[64];
-  __IO uint32_t IP[8];                   /*!< Offset: 0x300 (R/W)  Interrupt Priority Register              */
+  __IOM uint32_t ISER[1U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[31U];
+  __IOM uint32_t ICER[1U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[31U];
+  __IOM uint32_t ISPR[1U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[31U];
+  __IOM uint32_t ICPR[1U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[31U];
+        uint32_t RESERVED4[64U];
+  __IOM uint32_t IP[8U];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register */
 }  NVIC_Type;
 
 /*@} end of group CMSIS_NVIC */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCB     System Control Block (SCB)
-    \brief      Type definitions for the System Control Block Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
   @{
  */
 
-/** \brief  Structure type to access the System Control Block (SCB).
+/**
+  \brief  Structure type to access the System Control Block (SCB).
  */
 typedef struct
 {
-  __I  uint32_t CPUID;                   /*!< Offset: 0x000 (R/ )  CPUID Base Register                                   */
-  __IO uint32_t ICSR;                    /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register                  */
-  __IO uint32_t VTOR;                    /*!< Offset: 0x008 (R/W)  Vector Table Offset Register                          */
-  __IO uint32_t AIRCR;                   /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register      */
-  __IO uint32_t SCR;                     /*!< Offset: 0x010 (R/W)  System Control Register                               */
-  __IO uint32_t CCR;                     /*!< Offset: 0x014 (R/W)  Configuration Control Register                        */
-       uint32_t RESERVED0[1];
-  __IO uint32_t SHP[2];                  /*!< Offset: 0x01C (R/W)  System Handlers Priority Registers. [0] is RESERVED   */
-  __IO uint32_t SHCSR;                   /*!< Offset: 0x024 (R/W)  System Handler Control and State Register             */
-       uint32_t RESERVED1[154];
-  __IO uint32_t SFCR;                    /*!< Offset: 0x290 (R/W)  Security Features Control Register                    */
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t SHP[2U];                /*!< Offset: 0x01C (R/W)  System Handlers Priority Registers. [0] is RESERVED */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+        uint32_t RESERVED1[154U];
+  __IOM uint32_t SFCR;                   /*!< Offset: 0x290 (R/W)  Security Features Control Register */
 } SCB_Type;
 
 /* SCB CPUID Register Definitions */
-#define SCB_CPUID_IMPLEMENTER_Pos          24                                             /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
 #define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
 
-#define SCB_CPUID_VARIANT_Pos              20                                             /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
 #define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
 
-#define SCB_CPUID_ARCHITECTURE_Pos         16                                             /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
 #define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
 
-#define SCB_CPUID_PARTNO_Pos                4                                             /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
 #define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
 
-#define SCB_CPUID_REVISION_Pos              0                                             /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
 #define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
 
 /* SCB Interrupt Control State Register Definitions */
-#define SCB_ICSR_NMIPENDSET_Pos            31                                             /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
 #define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
 
-#define SCB_ICSR_PENDSVSET_Pos             28                                             /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
 #define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
 
-#define SCB_ICSR_PENDSVCLR_Pos             27                                             /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
 #define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
 
-#define SCB_ICSR_PENDSTSET_Pos             26                                             /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
 #define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
 
-#define SCB_ICSR_PENDSTCLR_Pos             25                                             /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
 #define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
 
-#define SCB_ICSR_ISRPREEMPT_Pos            23                                             /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
 #define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
 
-#define SCB_ICSR_ISRPENDING_Pos            22                                             /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
 #define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
 
-#define SCB_ICSR_VECTPENDING_Pos           12                                             /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
 #define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
 
-#define SCB_ICSR_VECTACTIVE_Pos             0                                             /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
 #define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
 
 /* SCB Interrupt Control State Register Definitions */
-#define SCB_VTOR_TBLOFF_Pos                 7                                             /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
 #define SCB_VTOR_TBLOFF_Msk                (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos)           /*!< SCB VTOR: TBLOFF Mask */
 
 /* SCB Application Interrupt and Reset Control Register Definitions */
-#define SCB_AIRCR_VECTKEY_Pos              16                                             /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
 #define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
 
-#define SCB_AIRCR_VECTKEYSTAT_Pos          16                                             /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
 #define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
 
-#define SCB_AIRCR_ENDIANESS_Pos            15                                             /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
 #define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
 
-#define SCB_AIRCR_SYSRESETREQ_Pos           2                                             /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
 #define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
 
-#define SCB_AIRCR_VECTCLRACTIVE_Pos         1                                             /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
 #define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
 
 /* SCB System Control Register Definitions */
-#define SCB_SCR_SEVONPEND_Pos               4                                             /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
 #define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
 
-#define SCB_SCR_SLEEPDEEP_Pos               2                                             /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
 #define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
 
-#define SCB_SCR_SLEEPONEXIT_Pos             1                                             /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
 #define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
 
 /* SCB Configuration Control Register Definitions */
-#define SCB_CCR_STKALIGN_Pos                9                                             /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
 #define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
 
-#define SCB_CCR_UNALIGN_TRP_Pos             3                                             /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
 #define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
 
 /* SCB System Handler Control and State Register Definitions */
-#define SCB_SHCSR_SVCALLPENDED_Pos         15                                             /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
 #define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
 
 /*@} end of group CMSIS_SCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
-    \brief      Type definitions for the System Control and ID Register not in the SCB
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
+  \brief    Type definitions for the System Control and ID Register not in the SCB
   @{
  */
 
-/** \brief  Structure type to access the System Control and ID Register not in the SCB.
+/**
+  \brief  Structure type to access the System Control and ID Register not in the SCB.
  */
 typedef struct
 {
-       uint32_t RESERVED0[2];
-  __IO uint32_t ACTLR;                   /*!< Offset: 0x008 (R/W)  Auxiliary Control Register      */
+        uint32_t RESERVED0[2U];
+  __IOM uint32_t ACTLR;                  /*!< Offset: 0x008 (R/W)  Auxiliary Control Register */
 } SCnSCB_Type;
 
 /* Auxiliary Control Register Definitions */
-#define SCnSCB_ACTLR_DISMCYCINT_Pos         0                                          /*!< ACTLR: DISMCYCINT Position */
+#define SCnSCB_ACTLR_DISMCYCINT_Pos         0U                                         /*!< ACTLR: DISMCYCINT Position */
 #define SCnSCB_ACTLR_DISMCYCINT_Msk        (1UL /*<< SCnSCB_ACTLR_DISMCYCINT_Pos*/)    /*!< ACTLR: DISMCYCINT Mask */
 
 /*@} end of group CMSIS_SCnotSCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
-    \brief      Type definitions for the System Timer Registers.
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
   @{
  */
 
-/** \brief  Structure type to access the System Timer (SysTick).
+/**
+  \brief  Structure type to access the System Timer (SysTick).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
-  __IO uint32_t LOAD;                    /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register       */
-  __IO uint32_t VAL;                     /*!< Offset: 0x008 (R/W)  SysTick Current Value Register      */
-  __I  uint32_t CALIB;                   /*!< Offset: 0x00C (R/ )  SysTick Calibration Register        */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
 } SysTick_Type;
 
 /* SysTick Control / Status Register Definitions */
-#define SysTick_CTRL_COUNTFLAG_Pos         16                                             /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
 #define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
 
-#define SysTick_CTRL_CLKSOURCE_Pos          2                                             /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
 #define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
 
-#define SysTick_CTRL_TICKINT_Pos            1                                             /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
 #define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
 
-#define SysTick_CTRL_ENABLE_Pos             0                                             /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
 #define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
 
 /* SysTick Reload Register Definitions */
-#define SysTick_LOAD_RELOAD_Pos             0                                             /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
 #define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
 
 /* SysTick Current Register Definitions */
-#define SysTick_VAL_CURRENT_Pos             0                                             /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
 #define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
 
 /* SysTick Calibration Register Definitions */
-#define SysTick_CALIB_NOREF_Pos            31                                             /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
 #define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
 
-#define SysTick_CALIB_SKEW_Pos             30                                             /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
 #define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
 
-#define SysTick_CALIB_TENMS_Pos             0                                             /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
 #define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
 
 /*@} end of group CMSIS_SysTick */
 
-#if (__MPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
-    \brief      Type definitions for the Memory Protection Unit (MPU)
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
   @{
  */
 
-/** \brief  Structure type to access the Memory Protection Unit (MPU).
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
  */
 typedef struct
 {
-  __I  uint32_t TYPE;                    /*!< Offset: 0x000 (R/ )  MPU Type Register                              */
-  __IO uint32_t CTRL;                    /*!< Offset: 0x004 (R/W)  MPU Control Register                           */
-  __IO uint32_t RNR;                     /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register                     */
-  __IO uint32_t RBAR;                    /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register               */
-  __IO uint32_t RASR;                    /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register         */
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
 } MPU_Type;
 
-/* MPU Type Register */
-#define MPU_TYPE_IREGION_Pos               16                                             /*!< MPU TYPE: IREGION Position */
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
 #define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
 
-#define MPU_TYPE_DREGION_Pos                8                                             /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
 #define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
 
-#define MPU_TYPE_SEPARATE_Pos               0                                             /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
 #define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
 
-/* MPU Control Register */
-#define MPU_CTRL_PRIVDEFENA_Pos             2                                             /*!< MPU CTRL: PRIVDEFENA Position */
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
 #define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
 
-#define MPU_CTRL_HFNMIENA_Pos               1                                             /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
 #define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
 
-#define MPU_CTRL_ENABLE_Pos                 0                                             /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
 #define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
 
-/* MPU Region Number Register */
-#define MPU_RNR_REGION_Pos                  0                                             /*!< MPU RNR: REGION Position */
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
 #define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
 
-/* MPU Region Base Address Register */
-#define MPU_RBAR_ADDR_Pos                   8                                             /*!< MPU RBAR: ADDR Position */
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   8U                                            /*!< MPU RBAR: ADDR Position */
 #define MPU_RBAR_ADDR_Msk                  (0xFFFFFFUL << MPU_RBAR_ADDR_Pos)              /*!< MPU RBAR: ADDR Mask */
 
-#define MPU_RBAR_VALID_Pos                  4                                             /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
 #define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
 
-#define MPU_RBAR_REGION_Pos                 0                                             /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
 #define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
 
-/* MPU Region Attribute and Size Register */
-#define MPU_RASR_ATTRS_Pos                 16                                             /*!< MPU RASR: MPU Region Attribute field Position */
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
 #define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
 
-#define MPU_RASR_XN_Pos                    28                                             /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
 #define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
 
-#define MPU_RASR_AP_Pos                    24                                             /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
 #define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
 
-#define MPU_RASR_TEX_Pos                   19                                             /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
 #define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
 
-#define MPU_RASR_S_Pos                     18                                             /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
 #define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
 
-#define MPU_RASR_C_Pos                     17                                             /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
 #define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
 
-#define MPU_RASR_B_Pos                     16                                             /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
 #define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
 
-#define MPU_RASR_SRD_Pos                    8                                             /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
 #define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
 
-#define MPU_RASR_SIZE_Pos                   1                                             /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
 #define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
 
-#define MPU_RASR_ENABLE_Pos                 0                                             /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
 #define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
 
 /*@} end of group CMSIS_MPU */
 #endif
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
-    \brief      SC000 Core Debug Registers (DCB registers, SHCSR, and DFSR)
-                are only accessible over DAP and not via processor. Therefore
-                they are not covered by the Cortex-M0 header file.
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    SC000 Core Debug Registers (DCB registers, SHCSR, and DFSR) are only accessible over DAP and not via processor.
+            Therefore they are not covered by the SC000 header file.
   @{
  */
 /*@} end of group CMSIS_CoreDebug */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_core_base     Core Definitions
-    \brief      Definitions for base addresses, unions, and structures.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
   @{
  */
 
-/* Memory mapping of SC000 Hardware */
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    (((uint32_t)(value) << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    (((uint32_t)(value) & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
+  @{
+ */
+
+/* Memory mapping of Core Hardware */
 #define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
-#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address              */
-#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address                 */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
 #define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
 
 #define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
-#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct           */
-#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct       */
-#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct          */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
 
-#if (__MPU_PRESENT == 1)
-  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit             */
-  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit             */
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
 #endif
 
 /*@} */
@@ -665,179 +680,322 @@ typedef struct
   - Core SysTick Functions
   - Core Register Access Functions
  ******************************************************************************/
-/** \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
 */
 
 
 
 /* ##########################   NVIC functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_NVICFunctions NVIC Functions
-    \brief      Functions that manage interrupts and exceptions via the NVIC.
-    @{
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
  */
 
-/* Interrupt Priorities are WORD accessible only under ARMv6M                   */
+#ifdef CMSIS_NVIC_VIRTUAL
+  #ifndef CMSIS_NVIC_VIRTUAL_HEADER_FILE
+    #define CMSIS_NVIC_VIRTUAL_HEADER_FILE "cmsis_nvic_virtual.h"
+  #endif
+  #include CMSIS_NVIC_VIRTUAL_HEADER_FILE
+#else
+/*#define NVIC_SetPriorityGrouping    __NVIC_SetPriorityGrouping   not available for SC000 */
+/*#define NVIC_GetPriorityGrouping    __NVIC_GetPriorityGrouping   not available for SC000 */
+  #define NVIC_EnableIRQ              __NVIC_EnableIRQ
+  #define NVIC_GetEnableIRQ           __NVIC_GetEnableIRQ
+  #define NVIC_DisableIRQ             __NVIC_DisableIRQ
+  #define NVIC_GetPendingIRQ          __NVIC_GetPendingIRQ
+  #define NVIC_SetPendingIRQ          __NVIC_SetPendingIRQ
+  #define NVIC_ClearPendingIRQ        __NVIC_ClearPendingIRQ
+/*#define NVIC_GetActive              __NVIC_GetActive             not available for SC000 */
+  #define NVIC_SetPriority            __NVIC_SetPriority
+  #define NVIC_GetPriority            __NVIC_GetPriority
+  #define NVIC_SystemReset            __NVIC_SystemReset
+#endif /* CMSIS_NVIC_VIRTUAL */
+
+#ifdef CMSIS_VECTAB_VIRTUAL
+  #ifndef CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+    #define CMSIS_VECTAB_VIRTUAL_HEADER_FILE "cmsis_vectab_virtual.h"
+  #endif
+  #include CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetVector              __NVIC_SetVector
+  #define NVIC_GetVector              __NVIC_GetVector
+#endif  /* (CMSIS_VECTAB_VIRTUAL) */
+
+#define NVIC_USER_IRQ_OFFSET          16
+
+
+/* The following EXC_RETURN values are saved the LR on exception entry */
+#define EXC_RETURN_HANDLER         (0xFFFFFFF1UL)     /* return to Handler mode, uses MSP after return                               */
+#define EXC_RETURN_THREAD_MSP      (0xFFFFFFF9UL)     /* return to Thread mode, uses MSP after return                                */
+#define EXC_RETURN_THREAD_PSP      (0xFFFFFFFDUL)     /* return to Thread mode, uses PSP after return                                */
+
+
+/* Interrupt Priorities are WORD accessible only under Armv6-M                  */
 /* The following MACROS handle generation of the register offset and byte masks */
 #define _BIT_SHIFT(IRQn)         (  ((((uint32_t)(int32_t)(IRQn))         )      &  0x03UL) * 8UL)
 #define _SHP_IDX(IRQn)           ( (((((uint32_t)(int32_t)(IRQn)) & 0x0FUL)-8UL) >>    2UL)      )
 #define _IP_IDX(IRQn)            (   (((uint32_t)(int32_t)(IRQn))                >>    2UL)      )
 
 
-/** \brief  Enable External Interrupt
-
-    The function enables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Enable Interrupt
+  \details Enables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_EnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISER[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISER[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Disable External Interrupt
-
-    The function disables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Get Interrupt Enable status
+  \details Returns a device specific interrupt enable status from the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt is not enabled.
+  \return             1  Interrupt is enabled.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetEnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICER[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISER[0U] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Get Pending Interrupt
-
-    The function reads the pending register in the NVIC and returns the pending bit
-    for the specified interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not pending.
-    \return             1  Interrupt status is pending.
+/**
+  \brief   Disable Interrupt
+  \details Disables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_DisableIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->ISPR[0] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICER[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+    __DSB();
+    __ISB();
+  }
 }
 
 
-/** \brief  Set Pending Interrupt
-
-    The function sets the pending bit of an external interrupt.
-
-    \param [in]      IRQn  Interrupt number. Value cannot be negative.
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the NVIC pending register and returns the pending bit for the specified device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISPR[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISPR[0U] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Clear Pending Interrupt
-
-    The function clears the pending bit of an external interrupt.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_SetPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICPR[0] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISPR[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Set Interrupt Priority
-
-    The function sets the priority of an interrupt.
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
+ */
+__STATIC_INLINE void __NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICPR[0U] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
+}
 
-    \note The priority cannot be set for every core interrupt.
 
-    \param [in]      IRQn  Interrupt number.
-    \param [in]  priority  Priority to set.
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+  \note    The priority cannot be set for every processor exception.
  */
-__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+__STATIC_INLINE void __NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
 {
-  if((int32_t)(IRQn) < 0) {
-    SCB->SHP[_SHP_IDX(IRQn)] = ((uint32_t)(SCB->SHP[_SHP_IDX(IRQn)] & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
-       (((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
-  }
-  else {
+  if ((int32_t)(IRQn) >= 0)
+  {
     NVIC->IP[_IP_IDX(IRQn)]  = ((uint32_t)(NVIC->IP[_IP_IDX(IRQn)]  & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
-       (((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+  else
+  {
+    SCB->SHP[_SHP_IDX(IRQn)] = ((uint32_t)(SCB->SHP[_SHP_IDX(IRQn)] & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
   }
 }
 
 
-/** \brief  Get Interrupt Priority
-
-    The function reads the priority of an interrupt. The interrupt
-    number can be positive to specify an external (device specific)
-    interrupt, or negative to specify an internal (core) interrupt.
-
-
-    \param [in]   IRQn  Interrupt number.
-    \return             Interrupt Priority. Value is aligned automatically to the implemented
-                        priority bits of the microcontroller.
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
  */
-__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPriority(IRQn_Type IRQn)
 {
 
-  if((int32_t)(IRQn) < 0) {
-    return((uint32_t)(((SCB->SHP[_SHP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8 - __NVIC_PRIO_BITS)));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->IP[ _IP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
   }
-  else {
-    return((uint32_t)(((NVIC->IP[ _IP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8 - __NVIC_PRIO_BITS)));
+  else
+  {
+    return((uint32_t)(((SCB->SHP[_SHP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
   }
 }
 
 
-/** \brief  System Reset
+/**
+  \brief   Set Interrupt Vector
+  \details Sets an interrupt vector in SRAM based interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+           VTOR must been relocated to SRAM before.
+  \param [in]   IRQn      Interrupt number
+  \param [in]   vector    Address of interrupt handler function
+ */
+__STATIC_INLINE void __NVIC_SetVector(IRQn_Type IRQn, uint32_t vector)
+{
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+  vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET] = vector;
+}
+
 
-    The function initiates a system reset request to reset the MCU.
+/**
+  \brief   Get Interrupt Vector
+  \details Reads an interrupt vector from interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn      Interrupt number.
+  \return                 Address of interrupt handler function
  */
-__STATIC_INLINE void NVIC_SystemReset(void)
+__STATIC_INLINE uint32_t __NVIC_GetVector(IRQn_Type IRQn)
 {
-  __DSB();                                                     /* Ensure all outstanding memory accesses included
-                                                                  buffered write are completed before reset */
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+  return vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET];
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__NO_RETURN __STATIC_INLINE void __NVIC_SystemReset(void)
+{
+  __DSB();                                                          /* Ensure all outstanding memory accesses included
+                                                                       buffered write are completed before reset */
   SCB->AIRCR  = ((0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
                  SCB_AIRCR_SYSRESETREQ_Msk);
-  __DSB();                                                     /* Ensure completion of memory access */
-  while(1) { __NOP(); }                                        /* wait until reset */
+  __DSB();                                                          /* Ensure completion of memory access */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
 }
 
 /*@} end of CMSIS_Core_NVICFunctions */
 
 
-
-/* ##################################    SysTick function  ############################################ */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
-    \brief      Functions that configure the System.
+/* ##########################  FPU functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_FpuFunctions FPU Functions
+  \brief    Function that provides FPU type.
   @{
  */
 
-#if (__Vendor_SysTickConfig == 0)
+/**
+  \brief   get FPU type
+  \details returns the FPU type
+  \returns
+   - \b  0: No FPU
+   - \b  1: Single precision FPU
+   - \b  2: Double + Single precision FPU
+ */
+__STATIC_INLINE uint32_t SCB_GetFPUType(void)
+{
+    return 0U;           /* No FPU */
+}
 
-/** \brief  System Tick Configuration
 
-    The function initializes the System Timer and its interrupt, and starts the System Tick Timer.
-    Counter is in free running mode to generate periodic interrupts.
+/*@} end of CMSIS_Core_FpuFunctions */
 
-    \param [in]  ticks  Number of ticks between two interrupts.
 
-    \return          0  Function succeeded.
-    \return          1  Function failed.
 
-    \note     When the variable __Vendor_SysTickConfig is set to 1, then the
-    function SysTick_Config is not included. In this case, the file device.h
-    must contain a vendor-specific implementation of this function.
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
 
+#if defined (__Vendor_SysTickConfig) && (__Vendor_SysTickConfig == 0U)
+
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable __Vendor_SysTickConfig is set to 1, then the
+           function SysTick_Config is not included. In this case, the file device.h
+           must contain a vendor-specific implementation of this function.
  */
 __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 {
-  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk) {return (1UL);}      /* Reload value impossible */
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
 
   SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
   NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_sc300.h b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_sc300.h
index 7e40672a..3e8a4710 100644
--- a/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_sc300.h
+++ b/STM32CubeMX/2020c/Drivers/CMSIS/Include/core_sc300.h
@@ -1,52 +1,44 @@
 /**************************************************************************//**
  * @file     core_sc300.h
  * @brief    CMSIS SC300 Core Peripheral Access Layer Header File
- * @version  V4.10
- * @date     18. March 2015
+ * @version  V5.0.6
+ * @date     04. June 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
  *
- * @note
+ * SPDX-License-Identifier: Apache-2.0
  *
- ******************************************************************************/
-/* Copyright (c) 2009 - 2015 ARM LIMITED
-
-   All rights reserved.
-   Redistribution and use in source and binary forms, with or without
-   modification, are permitted provided that the following conditions are met:
-   - Redistributions of source code must retain the above copyright
-     notice, this list of conditions and the following disclaimer.
-   - Redistributions in binary form must reproduce the above copyright
-     notice, this list of conditions and the following disclaimer in the
-     documentation and/or other materials provided with the distribution.
-   - Neither the name of ARM nor the names of its contributors may be used
-     to endorse or promote products derived from this software without
-     specific prior written permission.
-   *
-   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
-   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
-   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
-   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-   POSSIBILITY OF SUCH DAMAGE.
-   ---------------------------------------------------------------------------*/
-
-
-#if defined ( __ICCARM__ )
- #pragma system_include  /* treat file as system include file for MISRA check */
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if   defined ( __ICCARM__ )
+  #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined (__clang__)
+  #pragma clang system_header   /* treat file as system include file */
 #endif
 
 #ifndef __CORE_SC300_H_GENERIC
 #define __CORE_SC300_H_GENERIC
 
+#include 
+
 #ifdef __cplusplus
  extern "C" {
 #endif
 
-/** \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
   CMSIS violates the following MISRA-C:2004 rules:
 
    \li Required Rule 8.5, object/function definition in header file.

@@ -63,74 +55,49 @@
 /*******************************************************************************
  *                 CMSIS definitions
  ******************************************************************************/
-/** \ingroup SC3000
+/**
+  \ingroup SC3000
   @{
  */
 
-/*  CMSIS SC300 definitions */
-#define __SC300_CMSIS_VERSION_MAIN  (0x04)                                   /*!< [31:16] CMSIS HAL main version */
-#define __SC300_CMSIS_VERSION_SUB   (0x00)                                   /*!< [15:0]  CMSIS HAL sub version  */
-#define __SC300_CMSIS_VERSION       ((__SC300_CMSIS_VERSION_MAIN << 16) | \
-                                      __SC300_CMSIS_VERSION_SUB          )   /*!< CMSIS HAL version number       */
-
-#define __CORTEX_SC                 (300)                                     /*!< Cortex secure core             */
-
-
-#if   defined ( __CC_ARM )
-  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler          */
-  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler       */
-  #define __STATIC_INLINE  static __inline
-
-#elif defined ( __GNUC__ )
-  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __ICCARM__ )
-  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TMS470__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler       */
-  #define __STATIC_INLINE  static inline
+#include "cmsis_version.h"
 
-#elif defined ( __TASKING__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler      */
-  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler   */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __CSMC__ )
-  #define __packed
-  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler      */
-  #define __INLINE         inline                                    /*use -pc99 on compile line !< inline keyword for COSMIC Compiler   */
-  #define __STATIC_INLINE  static inline
+/*  CMSIS SC300 definitions */
+#define __SC300_CMSIS_VERSION_MAIN  (__CM_CMSIS_VERSION_MAIN)                /*!< \deprecated [31:16] CMSIS HAL main version */
+#define __SC300_CMSIS_VERSION_SUB   (__CM_CMSIS_VERSION_SUB)                 /*!< \deprecated [15:0]  CMSIS HAL sub version */
+#define __SC300_CMSIS_VERSION       ((__SC300_CMSIS_VERSION_MAIN << 16U) | \
+                                      __SC300_CMSIS_VERSION_SUB           )  /*!< \deprecated CMSIS HAL version number */
 
-#endif
+#define __CORTEX_SC                 (300U)                                   /*!< Cortex secure core */
 
 /** __FPU_USED indicates whether an FPU is used or not.
     This core does not support an FPU at all
 */
-#define __FPU_USED       0
+#define __FPU_USED       0U
 
 #if defined ( __CC_ARM )
   #if defined __TARGET_FPU_VFP
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __GNUC__ )
   #if defined (__VFP_FP__) && !defined(__SOFTFP__)
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __ICCARM__ )
   #if defined __ARMVFP__
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
-#elif defined ( __TMS470__ )
-  #if defined __TI__VFP_SUPPORT____
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+#elif defined ( __TI_ARM__ )
+  #if defined __TI_VFP_SUPPORT__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
 #elif defined ( __TASKING__ )
@@ -138,15 +105,15 @@
     #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
 
-#elif defined ( __CSMC__ )		/* Cosmic */
-  #if ( __CSMC__ & 0x400)		// FPU present for parser
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
     #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
   #endif
+
 #endif
 
-#include                       /* standard types definitions                      */
-#include                 /* Core Instruction Access                         */
-#include                  /* Core Function Access                            */
+#include "cmsis_compiler.h"               /* CMSIS compiler specific defines */
+
 
 #ifdef __cplusplus
 }
@@ -166,22 +133,22 @@
 /* check device defines and use defaults */
 #if defined __CHECK_DEVICE_DEFINES
   #ifndef __SC300_REV
-    #define __SC300_REV               0x0000
+    #define __SC300_REV               0x0000U
     #warning "__SC300_REV not defined in device header file; using default!"
   #endif
 
   #ifndef __MPU_PRESENT
-    #define __MPU_PRESENT             0
+    #define __MPU_PRESENT             0U
     #warning "__MPU_PRESENT not defined in device header file; using default!"
   #endif
 
   #ifndef __NVIC_PRIO_BITS
-    #define __NVIC_PRIO_BITS          4
+    #define __NVIC_PRIO_BITS          3U
     #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
   #endif
 
   #ifndef __Vendor_SysTickConfig
-    #define __Vendor_SysTickConfig    0
+    #define __Vendor_SysTickConfig    0U
     #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
   #endif
 #endif
@@ -195,12 +162,17 @@
     \li for automatic generation of peripheral register debug information.
 */
 #ifdef __cplusplus
-  #define   __I     volatile             /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
 #else
-  #define   __I     volatile const       /*!< Defines 'read only' permissions                 */
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
 #endif
-#define     __O     volatile             /*!< Defines 'write only' permissions                */
-#define     __IO    volatile             /*!< Defines 'read / write' permissions              */
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
 
 /*@} end of group SC300 */
 
@@ -216,1083 +188,1199 @@
   - Core Debug Register
   - Core MPU Register
  ******************************************************************************/
-/** \defgroup CMSIS_core_register Defines and Type Definitions
-    \brief Type definitions and defines for Cortex-M processor based devices.
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
 */
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_CORE  Status and Control Registers
-    \brief  Core Register type definitions.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
   @{
  */
 
-/** \brief  Union type to access the Application Program Status Register (APSR).
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t _reserved0:27;              /*!< bit:  0..26  Reserved                           */
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t _reserved0:27;              /*!< bit:  0..26  Reserved */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } APSR_Type;
 
 /* APSR Register Definitions */
-#define APSR_N_Pos                         31                                             /*!< APSR: N Position */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
 #define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
 
-#define APSR_Z_Pos                         30                                             /*!< APSR: Z Position */
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
 #define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
 
-#define APSR_C_Pos                         29                                             /*!< APSR: C Position */
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
 #define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
 
-#define APSR_V_Pos                         28                                             /*!< APSR: V Position */
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
 #define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
 
-#define APSR_Q_Pos                         27                                             /*!< APSR: Q Position */
+#define APSR_Q_Pos                         27U                                            /*!< APSR: Q Position */
 #define APSR_Q_Msk                         (1UL << APSR_Q_Pos)                            /*!< APSR: Q Mask */
 
 
-/** \brief  Union type to access the Interrupt Program Status Register (IPSR).
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } IPSR_Type;
 
 /* IPSR Register Definitions */
-#define IPSR_ISR_Pos                        0                                             /*!< IPSR: ISR Position */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
 #define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
  */
 typedef union
 {
   struct
   {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved                           */
-    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0)          */
-    uint32_t IT:2;                       /*!< bit: 25..26  saved IT state   (read 0)          */
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:1;               /*!< bit:      9  Reserved */
+    uint32_t ICI_IT_1:6;                 /*!< bit: 10..15  ICI/IT part 1 */
+    uint32_t _reserved1:8;               /*!< bit: 16..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit */
+    uint32_t ICI_IT_2:2;                 /*!< bit: 25..26  ICI/IT part 2 */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } xPSR_Type;
 
 /* xPSR Register Definitions */
-#define xPSR_N_Pos                         31                                             /*!< xPSR: N Position */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
 #define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
 
-#define xPSR_Z_Pos                         30                                             /*!< xPSR: Z Position */
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
 #define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
 
-#define xPSR_C_Pos                         29                                             /*!< xPSR: C Position */
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
 #define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
 
-#define xPSR_V_Pos                         28                                             /*!< xPSR: V Position */
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
 #define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
 
-#define xPSR_Q_Pos                         27                                             /*!< xPSR: Q Position */
+#define xPSR_Q_Pos                         27U                                            /*!< xPSR: Q Position */
 #define xPSR_Q_Msk                         (1UL << xPSR_Q_Pos)                            /*!< xPSR: Q Mask */
 
-#define xPSR_IT_Pos                        25                                             /*!< xPSR: IT Position */
-#define xPSR_IT_Msk                        (3UL << xPSR_IT_Pos)                           /*!< xPSR: IT Mask */
+#define xPSR_ICI_IT_2_Pos                  25U                                            /*!< xPSR: ICI/IT part 2 Position */
+#define xPSR_ICI_IT_2_Msk                  (3UL << xPSR_ICI_IT_2_Pos)                     /*!< xPSR: ICI/IT part 2 Mask */
 
-#define xPSR_T_Pos                         24                                             /*!< xPSR: T Position */
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
 #define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
 
-#define xPSR_ISR_Pos                        0                                             /*!< xPSR: ISR Position */
+#define xPSR_ICI_IT_1_Pos                  10U                                            /*!< xPSR: ICI/IT part 1 Position */
+#define xPSR_ICI_IT_1_Msk                  (0x3FUL << xPSR_ICI_IT_1_Pos)                  /*!< xPSR: ICI/IT part 1 Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
 #define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
 
 
-/** \brief  Union type to access the Control Registers (CONTROL).
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
  */
 typedef union
 {
   struct
   {
     uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
-    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used                   */
-    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
 } CONTROL_Type;
 
 /* CONTROL Register Definitions */
-#define CONTROL_SPSEL_Pos                   1                                             /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
 #define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
 
-#define CONTROL_nPRIV_Pos                   0                                             /*!< CONTROL: nPRIV Position */
+#define CONTROL_nPRIV_Pos                   0U                                            /*!< CONTROL: nPRIV Position */
 #define CONTROL_nPRIV_Msk                  (1UL /*<< CONTROL_nPRIV_Pos*/)                 /*!< CONTROL: nPRIV Mask */
 
 /*@} end of group CMSIS_CORE */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
-    \brief      Type definitions for the NVIC Registers
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
   @{
  */
 
-/** \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
  */
 typedef struct
 {
-  __IO uint32_t ISER[8];                 /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register           */
-       uint32_t RESERVED0[24];
-  __IO uint32_t ICER[8];                 /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register         */
-       uint32_t RSERVED1[24];
-  __IO uint32_t ISPR[8];                 /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register          */
-       uint32_t RESERVED2[24];
-  __IO uint32_t ICPR[8];                 /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register        */
-       uint32_t RESERVED3[24];
-  __IO uint32_t IABR[8];                 /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register           */
-       uint32_t RESERVED4[56];
-  __IO uint8_t  IP[240];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
-       uint32_t RESERVED5[644];
-  __O  uint32_t STIR;                    /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register     */
+  __IOM uint32_t ISER[8U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[24U];
+  __IOM uint32_t ICER[8U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[24U];
+  __IOM uint32_t ISPR[8U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[24U];
+  __IOM uint32_t ICPR[8U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[24U];
+  __IOM uint32_t IABR[8U];               /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register */
+        uint32_t RESERVED4[56U];
+  __IOM uint8_t  IP[240U];               /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
+        uint32_t RESERVED5[644U];
+  __OM  uint32_t STIR;                   /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register */
 }  NVIC_Type;
 
 /* Software Triggered Interrupt Register Definitions */
-#define NVIC_STIR_INTID_Pos                 0                                          /*!< STIR: INTLINESNUM Position */
+#define NVIC_STIR_INTID_Pos                 0U                                         /*!< STIR: INTLINESNUM Position */
 #define NVIC_STIR_INTID_Msk                (0x1FFUL /*<< NVIC_STIR_INTID_Pos*/)        /*!< STIR: INTLINESNUM Mask */
 
 /*@} end of group CMSIS_NVIC */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCB     System Control Block (SCB)
-    \brief      Type definitions for the System Control Block Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
   @{
  */
 
-/** \brief  Structure type to access the System Control Block (SCB).
+/**
+  \brief  Structure type to access the System Control Block (SCB).
  */
 typedef struct
 {
-  __I  uint32_t CPUID;                   /*!< Offset: 0x000 (R/ )  CPUID Base Register                                   */
-  __IO uint32_t ICSR;                    /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register                  */
-  __IO uint32_t VTOR;                    /*!< Offset: 0x008 (R/W)  Vector Table Offset Register                          */
-  __IO uint32_t AIRCR;                   /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register      */
-  __IO uint32_t SCR;                     /*!< Offset: 0x010 (R/W)  System Control Register                               */
-  __IO uint32_t CCR;                     /*!< Offset: 0x014 (R/W)  Configuration Control Register                        */
-  __IO uint8_t  SHP[12];                 /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
-  __IO uint32_t SHCSR;                   /*!< Offset: 0x024 (R/W)  System Handler Control and State Register             */
-  __IO uint32_t CFSR;                    /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register                    */
-  __IO uint32_t HFSR;                    /*!< Offset: 0x02C (R/W)  HardFault Status Register                             */
-  __IO uint32_t DFSR;                    /*!< Offset: 0x030 (R/W)  Debug Fault Status Register                           */
-  __IO uint32_t MMFAR;                   /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register                      */
-  __IO uint32_t BFAR;                    /*!< Offset: 0x038 (R/W)  BusFault Address Register                             */
-  __IO uint32_t AFSR;                    /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register                       */
-  __I  uint32_t PFR[2];                  /*!< Offset: 0x040 (R/ )  Processor Feature Register                            */
-  __I  uint32_t DFR;                     /*!< Offset: 0x048 (R/ )  Debug Feature Register                                */
-  __I  uint32_t ADR;                     /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register                            */
-  __I  uint32_t MMFR[4];                 /*!< Offset: 0x050 (R/ )  Memory Model Feature Register                         */
-  __I  uint32_t ISAR[5];                 /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register                   */
-       uint32_t RESERVED0[5];
-  __IO uint32_t CPACR;                   /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register                   */
-       uint32_t RESERVED1[129];
-  __IO uint32_t SFCR;                    /*!< Offset: 0x290 (R/W)  Security Features Control Register                    */
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+  __IOM uint8_t  SHP[12U];               /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+  __IOM uint32_t CFSR;                   /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register */
+  __IOM uint32_t HFSR;                   /*!< Offset: 0x02C (R/W)  HardFault Status Register */
+  __IOM uint32_t DFSR;                   /*!< Offset: 0x030 (R/W)  Debug Fault Status Register */
+  __IOM uint32_t MMFAR;                  /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register */
+  __IOM uint32_t BFAR;                   /*!< Offset: 0x038 (R/W)  BusFault Address Register */
+  __IOM uint32_t AFSR;                   /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register */
+  __IM  uint32_t PFR[2U];                /*!< Offset: 0x040 (R/ )  Processor Feature Register */
+  __IM  uint32_t DFR;                    /*!< Offset: 0x048 (R/ )  Debug Feature Register */
+  __IM  uint32_t ADR;                    /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register */
+  __IM  uint32_t MMFR[4U];               /*!< Offset: 0x050 (R/ )  Memory Model Feature Register */
+  __IM  uint32_t ISAR[5U];               /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register */
+        uint32_t RESERVED0[5U];
+  __IOM uint32_t CPACR;                  /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register */
+        uint32_t RESERVED1[129U];
+  __IOM uint32_t SFCR;                   /*!< Offset: 0x290 (R/W)  Security Features Control Register */
 } SCB_Type;
 
 /* SCB CPUID Register Definitions */
-#define SCB_CPUID_IMPLEMENTER_Pos          24                                             /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
 #define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
 
-#define SCB_CPUID_VARIANT_Pos              20                                             /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
 #define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
 
-#define SCB_CPUID_ARCHITECTURE_Pos         16                                             /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
 #define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
 
-#define SCB_CPUID_PARTNO_Pos                4                                             /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
 #define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
 
-#define SCB_CPUID_REVISION_Pos              0                                             /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
 #define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
 
 /* SCB Interrupt Control State Register Definitions */
-#define SCB_ICSR_NMIPENDSET_Pos            31                                             /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
 #define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
 
-#define SCB_ICSR_PENDSVSET_Pos             28                                             /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
 #define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
 
-#define SCB_ICSR_PENDSVCLR_Pos             27                                             /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
 #define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
 
-#define SCB_ICSR_PENDSTSET_Pos             26                                             /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
 #define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
 
-#define SCB_ICSR_PENDSTCLR_Pos             25                                             /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
 #define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
 
-#define SCB_ICSR_ISRPREEMPT_Pos            23                                             /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
 #define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
 
-#define SCB_ICSR_ISRPENDING_Pos            22                                             /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
 #define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
 
-#define SCB_ICSR_VECTPENDING_Pos           12                                             /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
 #define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
 
-#define SCB_ICSR_RETTOBASE_Pos             11                                             /*!< SCB ICSR: RETTOBASE Position */
+#define SCB_ICSR_RETTOBASE_Pos             11U                                            /*!< SCB ICSR: RETTOBASE Position */
 #define SCB_ICSR_RETTOBASE_Msk             (1UL << SCB_ICSR_RETTOBASE_Pos)                /*!< SCB ICSR: RETTOBASE Mask */
 
-#define SCB_ICSR_VECTACTIVE_Pos             0                                             /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
 #define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
 
 /* SCB Vector Table Offset Register Definitions */
-#define SCB_VTOR_TBLBASE_Pos               29                                             /*!< SCB VTOR: TBLBASE Position */
+#define SCB_VTOR_TBLBASE_Pos               29U                                            /*!< SCB VTOR: TBLBASE Position */
 #define SCB_VTOR_TBLBASE_Msk               (1UL << SCB_VTOR_TBLBASE_Pos)                  /*!< SCB VTOR: TBLBASE Mask */
 
-#define SCB_VTOR_TBLOFF_Pos                 7                                             /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
 #define SCB_VTOR_TBLOFF_Msk                (0x3FFFFFUL << SCB_VTOR_TBLOFF_Pos)            /*!< SCB VTOR: TBLOFF Mask */
 
 /* SCB Application Interrupt and Reset Control Register Definitions */
-#define SCB_AIRCR_VECTKEY_Pos              16                                             /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
 #define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
 
-#define SCB_AIRCR_VECTKEYSTAT_Pos          16                                             /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
 #define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
 
-#define SCB_AIRCR_ENDIANESS_Pos            15                                             /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
 #define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
 
-#define SCB_AIRCR_PRIGROUP_Pos              8                                             /*!< SCB AIRCR: PRIGROUP Position */
+#define SCB_AIRCR_PRIGROUP_Pos              8U                                            /*!< SCB AIRCR: PRIGROUP Position */
 #define SCB_AIRCR_PRIGROUP_Msk             (7UL << SCB_AIRCR_PRIGROUP_Pos)                /*!< SCB AIRCR: PRIGROUP Mask */
 
-#define SCB_AIRCR_SYSRESETREQ_Pos           2                                             /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
 #define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
 
-#define SCB_AIRCR_VECTCLRACTIVE_Pos         1                                             /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
 #define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
 
-#define SCB_AIRCR_VECTRESET_Pos             0                                             /*!< SCB AIRCR: VECTRESET Position */
+#define SCB_AIRCR_VECTRESET_Pos             0U                                            /*!< SCB AIRCR: VECTRESET Position */
 #define SCB_AIRCR_VECTRESET_Msk            (1UL /*<< SCB_AIRCR_VECTRESET_Pos*/)           /*!< SCB AIRCR: VECTRESET Mask */
 
 /* SCB System Control Register Definitions */
-#define SCB_SCR_SEVONPEND_Pos               4                                             /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
 #define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
 
-#define SCB_SCR_SLEEPDEEP_Pos               2                                             /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
 #define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
 
-#define SCB_SCR_SLEEPONEXIT_Pos             1                                             /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
 #define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
 
 /* SCB Configuration Control Register Definitions */
-#define SCB_CCR_STKALIGN_Pos                9                                             /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
 #define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
 
-#define SCB_CCR_BFHFNMIGN_Pos               8                                             /*!< SCB CCR: BFHFNMIGN Position */
+#define SCB_CCR_BFHFNMIGN_Pos               8U                                            /*!< SCB CCR: BFHFNMIGN Position */
 #define SCB_CCR_BFHFNMIGN_Msk              (1UL << SCB_CCR_BFHFNMIGN_Pos)                 /*!< SCB CCR: BFHFNMIGN Mask */
 
-#define SCB_CCR_DIV_0_TRP_Pos               4                                             /*!< SCB CCR: DIV_0_TRP Position */
+#define SCB_CCR_DIV_0_TRP_Pos               4U                                            /*!< SCB CCR: DIV_0_TRP Position */
 #define SCB_CCR_DIV_0_TRP_Msk              (1UL << SCB_CCR_DIV_0_TRP_Pos)                 /*!< SCB CCR: DIV_0_TRP Mask */
 
-#define SCB_CCR_UNALIGN_TRP_Pos             3                                             /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
 #define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
 
-#define SCB_CCR_USERSETMPEND_Pos            1                                             /*!< SCB CCR: USERSETMPEND Position */
+#define SCB_CCR_USERSETMPEND_Pos            1U                                            /*!< SCB CCR: USERSETMPEND Position */
 #define SCB_CCR_USERSETMPEND_Msk           (1UL << SCB_CCR_USERSETMPEND_Pos)              /*!< SCB CCR: USERSETMPEND Mask */
 
-#define SCB_CCR_NONBASETHRDENA_Pos          0                                             /*!< SCB CCR: NONBASETHRDENA Position */
+#define SCB_CCR_NONBASETHRDENA_Pos          0U                                            /*!< SCB CCR: NONBASETHRDENA Position */
 #define SCB_CCR_NONBASETHRDENA_Msk         (1UL /*<< SCB_CCR_NONBASETHRDENA_Pos*/)        /*!< SCB CCR: NONBASETHRDENA Mask */
 
 /* SCB System Handler Control and State Register Definitions */
-#define SCB_SHCSR_USGFAULTENA_Pos          18                                             /*!< SCB SHCSR: USGFAULTENA Position */
+#define SCB_SHCSR_USGFAULTENA_Pos          18U                                            /*!< SCB SHCSR: USGFAULTENA Position */
 #define SCB_SHCSR_USGFAULTENA_Msk          (1UL << SCB_SHCSR_USGFAULTENA_Pos)             /*!< SCB SHCSR: USGFAULTENA Mask */
 
-#define SCB_SHCSR_BUSFAULTENA_Pos          17                                             /*!< SCB SHCSR: BUSFAULTENA Position */
+#define SCB_SHCSR_BUSFAULTENA_Pos          17U                                            /*!< SCB SHCSR: BUSFAULTENA Position */
 #define SCB_SHCSR_BUSFAULTENA_Msk          (1UL << SCB_SHCSR_BUSFAULTENA_Pos)             /*!< SCB SHCSR: BUSFAULTENA Mask */
 
-#define SCB_SHCSR_MEMFAULTENA_Pos          16                                             /*!< SCB SHCSR: MEMFAULTENA Position */
+#define SCB_SHCSR_MEMFAULTENA_Pos          16U                                            /*!< SCB SHCSR: MEMFAULTENA Position */
 #define SCB_SHCSR_MEMFAULTENA_Msk          (1UL << SCB_SHCSR_MEMFAULTENA_Pos)             /*!< SCB SHCSR: MEMFAULTENA Mask */
 
-#define SCB_SHCSR_SVCALLPENDED_Pos         15                                             /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
 #define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
 
-#define SCB_SHCSR_BUSFAULTPENDED_Pos       14                                             /*!< SCB SHCSR: BUSFAULTPENDED Position */
+#define SCB_SHCSR_BUSFAULTPENDED_Pos       14U                                            /*!< SCB SHCSR: BUSFAULTPENDED Position */
 #define SCB_SHCSR_BUSFAULTPENDED_Msk       (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos)          /*!< SCB SHCSR: BUSFAULTPENDED Mask */
 
-#define SCB_SHCSR_MEMFAULTPENDED_Pos       13                                             /*!< SCB SHCSR: MEMFAULTPENDED Position */
+#define SCB_SHCSR_MEMFAULTPENDED_Pos       13U                                            /*!< SCB SHCSR: MEMFAULTPENDED Position */
 #define SCB_SHCSR_MEMFAULTPENDED_Msk       (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos)          /*!< SCB SHCSR: MEMFAULTPENDED Mask */
 
-#define SCB_SHCSR_USGFAULTPENDED_Pos       12                                             /*!< SCB SHCSR: USGFAULTPENDED Position */
+#define SCB_SHCSR_USGFAULTPENDED_Pos       12U                                            /*!< SCB SHCSR: USGFAULTPENDED Position */
 #define SCB_SHCSR_USGFAULTPENDED_Msk       (1UL << SCB_SHCSR_USGFAULTPENDED_Pos)          /*!< SCB SHCSR: USGFAULTPENDED Mask */
 
-#define SCB_SHCSR_SYSTICKACT_Pos           11                                             /*!< SCB SHCSR: SYSTICKACT Position */
+#define SCB_SHCSR_SYSTICKACT_Pos           11U                                            /*!< SCB SHCSR: SYSTICKACT Position */
 #define SCB_SHCSR_SYSTICKACT_Msk           (1UL << SCB_SHCSR_SYSTICKACT_Pos)              /*!< SCB SHCSR: SYSTICKACT Mask */
 
-#define SCB_SHCSR_PENDSVACT_Pos            10                                             /*!< SCB SHCSR: PENDSVACT Position */
+#define SCB_SHCSR_PENDSVACT_Pos            10U                                            /*!< SCB SHCSR: PENDSVACT Position */
 #define SCB_SHCSR_PENDSVACT_Msk            (1UL << SCB_SHCSR_PENDSVACT_Pos)               /*!< SCB SHCSR: PENDSVACT Mask */
 
-#define SCB_SHCSR_MONITORACT_Pos            8                                             /*!< SCB SHCSR: MONITORACT Position */
+#define SCB_SHCSR_MONITORACT_Pos            8U                                            /*!< SCB SHCSR: MONITORACT Position */
 #define SCB_SHCSR_MONITORACT_Msk           (1UL << SCB_SHCSR_MONITORACT_Pos)              /*!< SCB SHCSR: MONITORACT Mask */
 
-#define SCB_SHCSR_SVCALLACT_Pos             7                                             /*!< SCB SHCSR: SVCALLACT Position */
+#define SCB_SHCSR_SVCALLACT_Pos             7U                                            /*!< SCB SHCSR: SVCALLACT Position */
 #define SCB_SHCSR_SVCALLACT_Msk            (1UL << SCB_SHCSR_SVCALLACT_Pos)               /*!< SCB SHCSR: SVCALLACT Mask */
 
-#define SCB_SHCSR_USGFAULTACT_Pos           3                                             /*!< SCB SHCSR: USGFAULTACT Position */
+#define SCB_SHCSR_USGFAULTACT_Pos           3U                                            /*!< SCB SHCSR: USGFAULTACT Position */
 #define SCB_SHCSR_USGFAULTACT_Msk          (1UL << SCB_SHCSR_USGFAULTACT_Pos)             /*!< SCB SHCSR: USGFAULTACT Mask */
 
-#define SCB_SHCSR_BUSFAULTACT_Pos           1                                             /*!< SCB SHCSR: BUSFAULTACT Position */
+#define SCB_SHCSR_BUSFAULTACT_Pos           1U                                            /*!< SCB SHCSR: BUSFAULTACT Position */
 #define SCB_SHCSR_BUSFAULTACT_Msk          (1UL << SCB_SHCSR_BUSFAULTACT_Pos)             /*!< SCB SHCSR: BUSFAULTACT Mask */
 
-#define SCB_SHCSR_MEMFAULTACT_Pos           0                                             /*!< SCB SHCSR: MEMFAULTACT Position */
+#define SCB_SHCSR_MEMFAULTACT_Pos           0U                                            /*!< SCB SHCSR: MEMFAULTACT Position */
 #define SCB_SHCSR_MEMFAULTACT_Msk          (1UL /*<< SCB_SHCSR_MEMFAULTACT_Pos*/)         /*!< SCB SHCSR: MEMFAULTACT Mask */
 
-/* SCB Configurable Fault Status Registers Definitions */
-#define SCB_CFSR_USGFAULTSR_Pos            16                                             /*!< SCB CFSR: Usage Fault Status Register Position */
+/* SCB Configurable Fault Status Register Definitions */
+#define SCB_CFSR_USGFAULTSR_Pos            16U                                            /*!< SCB CFSR: Usage Fault Status Register Position */
 #define SCB_CFSR_USGFAULTSR_Msk            (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos)          /*!< SCB CFSR: Usage Fault Status Register Mask */
 
-#define SCB_CFSR_BUSFAULTSR_Pos             8                                             /*!< SCB CFSR: Bus Fault Status Register Position */
+#define SCB_CFSR_BUSFAULTSR_Pos             8U                                            /*!< SCB CFSR: Bus Fault Status Register Position */
 #define SCB_CFSR_BUSFAULTSR_Msk            (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos)            /*!< SCB CFSR: Bus Fault Status Register Mask */
 
-#define SCB_CFSR_MEMFAULTSR_Pos             0                                             /*!< SCB CFSR: Memory Manage Fault Status Register Position */
+#define SCB_CFSR_MEMFAULTSR_Pos             0U                                            /*!< SCB CFSR: Memory Manage Fault Status Register Position */
 #define SCB_CFSR_MEMFAULTSR_Msk            (0xFFUL /*<< SCB_CFSR_MEMFAULTSR_Pos*/)        /*!< SCB CFSR: Memory Manage Fault Status Register Mask */
 
-/* SCB Hard Fault Status Registers Definitions */
-#define SCB_HFSR_DEBUGEVT_Pos              31                                             /*!< SCB HFSR: DEBUGEVT Position */
+/* MemManage Fault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_MMARVALID_Pos             (SCB_SHCSR_MEMFAULTACT_Pos + 7U)               /*!< SCB CFSR (MMFSR): MMARVALID Position */
+#define SCB_CFSR_MMARVALID_Msk             (1UL << SCB_CFSR_MMARVALID_Pos)                /*!< SCB CFSR (MMFSR): MMARVALID Mask */
+
+#define SCB_CFSR_MSTKERR_Pos               (SCB_SHCSR_MEMFAULTACT_Pos + 4U)               /*!< SCB CFSR (MMFSR): MSTKERR Position */
+#define SCB_CFSR_MSTKERR_Msk               (1UL << SCB_CFSR_MSTKERR_Pos)                  /*!< SCB CFSR (MMFSR): MSTKERR Mask */
+
+#define SCB_CFSR_MUNSTKERR_Pos             (SCB_SHCSR_MEMFAULTACT_Pos + 3U)               /*!< SCB CFSR (MMFSR): MUNSTKERR Position */
+#define SCB_CFSR_MUNSTKERR_Msk             (1UL << SCB_CFSR_MUNSTKERR_Pos)                /*!< SCB CFSR (MMFSR): MUNSTKERR Mask */
+
+#define SCB_CFSR_DACCVIOL_Pos              (SCB_SHCSR_MEMFAULTACT_Pos + 1U)               /*!< SCB CFSR (MMFSR): DACCVIOL Position */
+#define SCB_CFSR_DACCVIOL_Msk              (1UL << SCB_CFSR_DACCVIOL_Pos)                 /*!< SCB CFSR (MMFSR): DACCVIOL Mask */
+
+#define SCB_CFSR_IACCVIOL_Pos              (SCB_SHCSR_MEMFAULTACT_Pos + 0U)               /*!< SCB CFSR (MMFSR): IACCVIOL Position */
+#define SCB_CFSR_IACCVIOL_Msk              (1UL /*<< SCB_CFSR_IACCVIOL_Pos*/)             /*!< SCB CFSR (MMFSR): IACCVIOL Mask */
+
+/* BusFault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_BFARVALID_Pos            (SCB_CFSR_BUSFAULTSR_Pos + 7U)                  /*!< SCB CFSR (BFSR): BFARVALID Position */
+#define SCB_CFSR_BFARVALID_Msk            (1UL << SCB_CFSR_BFARVALID_Pos)                 /*!< SCB CFSR (BFSR): BFARVALID Mask */
+
+#define SCB_CFSR_STKERR_Pos               (SCB_CFSR_BUSFAULTSR_Pos + 4U)                  /*!< SCB CFSR (BFSR): STKERR Position */
+#define SCB_CFSR_STKERR_Msk               (1UL << SCB_CFSR_STKERR_Pos)                    /*!< SCB CFSR (BFSR): STKERR Mask */
+
+#define SCB_CFSR_UNSTKERR_Pos             (SCB_CFSR_BUSFAULTSR_Pos + 3U)                  /*!< SCB CFSR (BFSR): UNSTKERR Position */
+#define SCB_CFSR_UNSTKERR_Msk             (1UL << SCB_CFSR_UNSTKERR_Pos)                  /*!< SCB CFSR (BFSR): UNSTKERR Mask */
+
+#define SCB_CFSR_IMPRECISERR_Pos          (SCB_CFSR_BUSFAULTSR_Pos + 2U)                  /*!< SCB CFSR (BFSR): IMPRECISERR Position */
+#define SCB_CFSR_IMPRECISERR_Msk          (1UL << SCB_CFSR_IMPRECISERR_Pos)               /*!< SCB CFSR (BFSR): IMPRECISERR Mask */
+
+#define SCB_CFSR_PRECISERR_Pos            (SCB_CFSR_BUSFAULTSR_Pos + 1U)                  /*!< SCB CFSR (BFSR): PRECISERR Position */
+#define SCB_CFSR_PRECISERR_Msk            (1UL << SCB_CFSR_PRECISERR_Pos)                 /*!< SCB CFSR (BFSR): PRECISERR Mask */
+
+#define SCB_CFSR_IBUSERR_Pos              (SCB_CFSR_BUSFAULTSR_Pos + 0U)                  /*!< SCB CFSR (BFSR): IBUSERR Position */
+#define SCB_CFSR_IBUSERR_Msk              (1UL << SCB_CFSR_IBUSERR_Pos)                   /*!< SCB CFSR (BFSR): IBUSERR Mask */
+
+/* UsageFault Status Register (part of SCB Configurable Fault Status Register) */
+#define SCB_CFSR_DIVBYZERO_Pos            (SCB_CFSR_USGFAULTSR_Pos + 9U)                  /*!< SCB CFSR (UFSR): DIVBYZERO Position */
+#define SCB_CFSR_DIVBYZERO_Msk            (1UL << SCB_CFSR_DIVBYZERO_Pos)                 /*!< SCB CFSR (UFSR): DIVBYZERO Mask */
+
+#define SCB_CFSR_UNALIGNED_Pos            (SCB_CFSR_USGFAULTSR_Pos + 8U)                  /*!< SCB CFSR (UFSR): UNALIGNED Position */
+#define SCB_CFSR_UNALIGNED_Msk            (1UL << SCB_CFSR_UNALIGNED_Pos)                 /*!< SCB CFSR (UFSR): UNALIGNED Mask */
+
+#define SCB_CFSR_NOCP_Pos                 (SCB_CFSR_USGFAULTSR_Pos + 3U)                  /*!< SCB CFSR (UFSR): NOCP Position */
+#define SCB_CFSR_NOCP_Msk                 (1UL << SCB_CFSR_NOCP_Pos)                      /*!< SCB CFSR (UFSR): NOCP Mask */
+
+#define SCB_CFSR_INVPC_Pos                (SCB_CFSR_USGFAULTSR_Pos + 2U)                  /*!< SCB CFSR (UFSR): INVPC Position */
+#define SCB_CFSR_INVPC_Msk                (1UL << SCB_CFSR_INVPC_Pos)                     /*!< SCB CFSR (UFSR): INVPC Mask */
+
+#define SCB_CFSR_INVSTATE_Pos             (SCB_CFSR_USGFAULTSR_Pos + 1U)                  /*!< SCB CFSR (UFSR): INVSTATE Position */
+#define SCB_CFSR_INVSTATE_Msk             (1UL << SCB_CFSR_INVSTATE_Pos)                  /*!< SCB CFSR (UFSR): INVSTATE Mask */
+
+#define SCB_CFSR_UNDEFINSTR_Pos           (SCB_CFSR_USGFAULTSR_Pos + 0U)                  /*!< SCB CFSR (UFSR): UNDEFINSTR Position */
+#define SCB_CFSR_UNDEFINSTR_Msk           (1UL << SCB_CFSR_UNDEFINSTR_Pos)                /*!< SCB CFSR (UFSR): UNDEFINSTR Mask */
+
+/* SCB Hard Fault Status Register Definitions */
+#define SCB_HFSR_DEBUGEVT_Pos              31U                                            /*!< SCB HFSR: DEBUGEVT Position */
 #define SCB_HFSR_DEBUGEVT_Msk              (1UL << SCB_HFSR_DEBUGEVT_Pos)                 /*!< SCB HFSR: DEBUGEVT Mask */
 
-#define SCB_HFSR_FORCED_Pos                30                                             /*!< SCB HFSR: FORCED Position */
+#define SCB_HFSR_FORCED_Pos                30U                                            /*!< SCB HFSR: FORCED Position */
 #define SCB_HFSR_FORCED_Msk                (1UL << SCB_HFSR_FORCED_Pos)                   /*!< SCB HFSR: FORCED Mask */
 
-#define SCB_HFSR_VECTTBL_Pos                1                                             /*!< SCB HFSR: VECTTBL Position */
+#define SCB_HFSR_VECTTBL_Pos                1U                                            /*!< SCB HFSR: VECTTBL Position */
 #define SCB_HFSR_VECTTBL_Msk               (1UL << SCB_HFSR_VECTTBL_Pos)                  /*!< SCB HFSR: VECTTBL Mask */
 
 /* SCB Debug Fault Status Register Definitions */
-#define SCB_DFSR_EXTERNAL_Pos               4                                             /*!< SCB DFSR: EXTERNAL Position */
+#define SCB_DFSR_EXTERNAL_Pos               4U                                            /*!< SCB DFSR: EXTERNAL Position */
 #define SCB_DFSR_EXTERNAL_Msk              (1UL << SCB_DFSR_EXTERNAL_Pos)                 /*!< SCB DFSR: EXTERNAL Mask */
 
-#define SCB_DFSR_VCATCH_Pos                 3                                             /*!< SCB DFSR: VCATCH Position */
+#define SCB_DFSR_VCATCH_Pos                 3U                                            /*!< SCB DFSR: VCATCH Position */
 #define SCB_DFSR_VCATCH_Msk                (1UL << SCB_DFSR_VCATCH_Pos)                   /*!< SCB DFSR: VCATCH Mask */
 
-#define SCB_DFSR_DWTTRAP_Pos                2                                             /*!< SCB DFSR: DWTTRAP Position */
+#define SCB_DFSR_DWTTRAP_Pos                2U                                            /*!< SCB DFSR: DWTTRAP Position */
 #define SCB_DFSR_DWTTRAP_Msk               (1UL << SCB_DFSR_DWTTRAP_Pos)                  /*!< SCB DFSR: DWTTRAP Mask */
 
-#define SCB_DFSR_BKPT_Pos                   1                                             /*!< SCB DFSR: BKPT Position */
+#define SCB_DFSR_BKPT_Pos                   1U                                            /*!< SCB DFSR: BKPT Position */
 #define SCB_DFSR_BKPT_Msk                  (1UL << SCB_DFSR_BKPT_Pos)                     /*!< SCB DFSR: BKPT Mask */
 
-#define SCB_DFSR_HALTED_Pos                 0                                             /*!< SCB DFSR: HALTED Position */
+#define SCB_DFSR_HALTED_Pos                 0U                                            /*!< SCB DFSR: HALTED Position */
 #define SCB_DFSR_HALTED_Msk                (1UL /*<< SCB_DFSR_HALTED_Pos*/)               /*!< SCB DFSR: HALTED Mask */
 
 /*@} end of group CMSIS_SCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
-    \brief      Type definitions for the System Control and ID Register not in the SCB
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
+  \brief    Type definitions for the System Control and ID Register not in the SCB
   @{
  */
 
-/** \brief  Structure type to access the System Control and ID Register not in the SCB.
+/**
+  \brief  Structure type to access the System Control and ID Register not in the SCB.
  */
 typedef struct
 {
-       uint32_t RESERVED0[1];
-  __I  uint32_t ICTR;                    /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register      */
-       uint32_t RESERVED1[1];
+        uint32_t RESERVED0[1U];
+  __IM  uint32_t ICTR;                   /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register */
+        uint32_t RESERVED1[1U];
 } SCnSCB_Type;
 
 /* Interrupt Controller Type Register Definitions */
-#define SCnSCB_ICTR_INTLINESNUM_Pos         0                                          /*!< ICTR: INTLINESNUM Position */
+#define SCnSCB_ICTR_INTLINESNUM_Pos         0U                                         /*!< ICTR: INTLINESNUM Position */
 #define SCnSCB_ICTR_INTLINESNUM_Msk        (0xFUL /*<< SCnSCB_ICTR_INTLINESNUM_Pos*/)  /*!< ICTR: INTLINESNUM Mask */
 
 /*@} end of group CMSIS_SCnotSCB */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
-    \brief      Type definitions for the System Timer Registers.
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
   @{
  */
 
-/** \brief  Structure type to access the System Timer (SysTick).
+/**
+  \brief  Structure type to access the System Timer (SysTick).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
-  __IO uint32_t LOAD;                    /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register       */
-  __IO uint32_t VAL;                     /*!< Offset: 0x008 (R/W)  SysTick Current Value Register      */
-  __I  uint32_t CALIB;                   /*!< Offset: 0x00C (R/ )  SysTick Calibration Register        */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
 } SysTick_Type;
 
 /* SysTick Control / Status Register Definitions */
-#define SysTick_CTRL_COUNTFLAG_Pos         16                                             /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
 #define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
 
-#define SysTick_CTRL_CLKSOURCE_Pos          2                                             /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
 #define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
 
-#define SysTick_CTRL_TICKINT_Pos            1                                             /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
 #define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
 
-#define SysTick_CTRL_ENABLE_Pos             0                                             /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
 #define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
 
 /* SysTick Reload Register Definitions */
-#define SysTick_LOAD_RELOAD_Pos             0                                             /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
 #define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
 
 /* SysTick Current Register Definitions */
-#define SysTick_VAL_CURRENT_Pos             0                                             /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
 #define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
 
 /* SysTick Calibration Register Definitions */
-#define SysTick_CALIB_NOREF_Pos            31                                             /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
 #define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
 
-#define SysTick_CALIB_SKEW_Pos             30                                             /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
 #define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
 
-#define SysTick_CALIB_TENMS_Pos             0                                             /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
 #define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
 
 /*@} end of group CMSIS_SysTick */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
-    \brief      Type definitions for the Instrumentation Trace Macrocell (ITM)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
+  \brief    Type definitions for the Instrumentation Trace Macrocell (ITM)
   @{
  */
 
-/** \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
+/**
+  \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
  */
 typedef struct
 {
-  __O  union
+  __OM  union
   {
-    __O  uint8_t    u8;                  /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit                   */
-    __O  uint16_t   u16;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit                  */
-    __O  uint32_t   u32;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit                  */
-  }  PORT [32];                          /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers               */
-       uint32_t RESERVED0[864];
-  __IO uint32_t TER;                     /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register                 */
-       uint32_t RESERVED1[15];
-  __IO uint32_t TPR;                     /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register              */
-       uint32_t RESERVED2[15];
-  __IO uint32_t TCR;                     /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register                */
-       uint32_t RESERVED3[29];
-  __O  uint32_t IWR;                     /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register            */
-  __I  uint32_t IRR;                     /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register             */
-  __IO uint32_t IMCR;                    /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register     */
-       uint32_t RESERVED4[43];
-  __O  uint32_t LAR;                     /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register                  */
-  __I  uint32_t LSR;                     /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register                  */
-       uint32_t RESERVED5[6];
-  __I  uint32_t PID4;                    /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
-  __I  uint32_t PID5;                    /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
-  __I  uint32_t PID6;                    /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
-  __I  uint32_t PID7;                    /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
-  __I  uint32_t PID0;                    /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
-  __I  uint32_t PID1;                    /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
-  __I  uint32_t PID2;                    /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
-  __I  uint32_t PID3;                    /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
-  __I  uint32_t CID0;                    /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
-  __I  uint32_t CID1;                    /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
-  __I  uint32_t CID2;                    /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
-  __I  uint32_t CID3;                    /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
+    __OM  uint8_t    u8;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit */
+    __OM  uint16_t   u16;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit */
+    __OM  uint32_t   u32;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit */
+  }  PORT [32U];                         /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers */
+        uint32_t RESERVED0[864U];
+  __IOM uint32_t TER;                    /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register */
+        uint32_t RESERVED1[15U];
+  __IOM uint32_t TPR;                    /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register */
+        uint32_t RESERVED2[15U];
+  __IOM uint32_t TCR;                    /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register */
+        uint32_t RESERVED3[29U];
+  __OM  uint32_t IWR;                    /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register */
+  __IM  uint32_t IRR;                    /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register */
+  __IOM uint32_t IMCR;                   /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register */
+        uint32_t RESERVED4[43U];
+  __OM  uint32_t LAR;                    /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register */
+  __IM  uint32_t LSR;                    /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register */
+        uint32_t RESERVED5[6U];
+  __IM  uint32_t PID4;                   /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
+  __IM  uint32_t PID5;                   /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
+  __IM  uint32_t PID6;                   /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
+  __IM  uint32_t PID7;                   /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
+  __IM  uint32_t PID0;                   /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
+  __IM  uint32_t PID1;                   /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
+  __IM  uint32_t PID2;                   /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
+  __IM  uint32_t PID3;                   /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
+  __IM  uint32_t CID0;                   /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
+  __IM  uint32_t CID1;                   /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
+  __IM  uint32_t CID2;                   /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
+  __IM  uint32_t CID3;                   /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
 } ITM_Type;
 
 /* ITM Trace Privilege Register Definitions */
-#define ITM_TPR_PRIVMASK_Pos                0                                             /*!< ITM TPR: PRIVMASK Position */
+#define ITM_TPR_PRIVMASK_Pos                0U                                            /*!< ITM TPR: PRIVMASK Position */
 #define ITM_TPR_PRIVMASK_Msk               (0xFUL /*<< ITM_TPR_PRIVMASK_Pos*/)            /*!< ITM TPR: PRIVMASK Mask */
 
 /* ITM Trace Control Register Definitions */
-#define ITM_TCR_BUSY_Pos                   23                                             /*!< ITM TCR: BUSY Position */
+#define ITM_TCR_BUSY_Pos                   23U                                            /*!< ITM TCR: BUSY Position */
 #define ITM_TCR_BUSY_Msk                   (1UL << ITM_TCR_BUSY_Pos)                      /*!< ITM TCR: BUSY Mask */
 
-#define ITM_TCR_TraceBusID_Pos             16                                             /*!< ITM TCR: ATBID Position */
+#define ITM_TCR_TraceBusID_Pos             16U                                            /*!< ITM TCR: ATBID Position */
 #define ITM_TCR_TraceBusID_Msk             (0x7FUL << ITM_TCR_TraceBusID_Pos)             /*!< ITM TCR: ATBID Mask */
 
-#define ITM_TCR_GTSFREQ_Pos                10                                             /*!< ITM TCR: Global timestamp frequency Position */
+#define ITM_TCR_GTSFREQ_Pos                10U                                            /*!< ITM TCR: Global timestamp frequency Position */
 #define ITM_TCR_GTSFREQ_Msk                (3UL << ITM_TCR_GTSFREQ_Pos)                   /*!< ITM TCR: Global timestamp frequency Mask */
 
-#define ITM_TCR_TSPrescale_Pos              8                                             /*!< ITM TCR: TSPrescale Position */
+#define ITM_TCR_TSPrescale_Pos              8U                                            /*!< ITM TCR: TSPrescale Position */
 #define ITM_TCR_TSPrescale_Msk             (3UL << ITM_TCR_TSPrescale_Pos)                /*!< ITM TCR: TSPrescale Mask */
 
-#define ITM_TCR_SWOENA_Pos                  4                                             /*!< ITM TCR: SWOENA Position */
+#define ITM_TCR_SWOENA_Pos                  4U                                            /*!< ITM TCR: SWOENA Position */
 #define ITM_TCR_SWOENA_Msk                 (1UL << ITM_TCR_SWOENA_Pos)                    /*!< ITM TCR: SWOENA Mask */
 
-#define ITM_TCR_DWTENA_Pos                  3                                             /*!< ITM TCR: DWTENA Position */
+#define ITM_TCR_DWTENA_Pos                  3U                                            /*!< ITM TCR: DWTENA Position */
 #define ITM_TCR_DWTENA_Msk                 (1UL << ITM_TCR_DWTENA_Pos)                    /*!< ITM TCR: DWTENA Mask */
 
-#define ITM_TCR_SYNCENA_Pos                 2                                             /*!< ITM TCR: SYNCENA Position */
+#define ITM_TCR_SYNCENA_Pos                 2U                                            /*!< ITM TCR: SYNCENA Position */
 #define ITM_TCR_SYNCENA_Msk                (1UL << ITM_TCR_SYNCENA_Pos)                   /*!< ITM TCR: SYNCENA Mask */
 
-#define ITM_TCR_TSENA_Pos                   1                                             /*!< ITM TCR: TSENA Position */
+#define ITM_TCR_TSENA_Pos                   1U                                            /*!< ITM TCR: TSENA Position */
 #define ITM_TCR_TSENA_Msk                  (1UL << ITM_TCR_TSENA_Pos)                     /*!< ITM TCR: TSENA Mask */
 
-#define ITM_TCR_ITMENA_Pos                  0                                             /*!< ITM TCR: ITM Enable bit Position */
+#define ITM_TCR_ITMENA_Pos                  0U                                            /*!< ITM TCR: ITM Enable bit Position */
 #define ITM_TCR_ITMENA_Msk                 (1UL /*<< ITM_TCR_ITMENA_Pos*/)                /*!< ITM TCR: ITM Enable bit Mask */
 
 /* ITM Integration Write Register Definitions */
-#define ITM_IWR_ATVALIDM_Pos                0                                             /*!< ITM IWR: ATVALIDM Position */
+#define ITM_IWR_ATVALIDM_Pos                0U                                            /*!< ITM IWR: ATVALIDM Position */
 #define ITM_IWR_ATVALIDM_Msk               (1UL /*<< ITM_IWR_ATVALIDM_Pos*/)              /*!< ITM IWR: ATVALIDM Mask */
 
 /* ITM Integration Read Register Definitions */
-#define ITM_IRR_ATREADYM_Pos                0                                             /*!< ITM IRR: ATREADYM Position */
+#define ITM_IRR_ATREADYM_Pos                0U                                            /*!< ITM IRR: ATREADYM Position */
 #define ITM_IRR_ATREADYM_Msk               (1UL /*<< ITM_IRR_ATREADYM_Pos*/)              /*!< ITM IRR: ATREADYM Mask */
 
 /* ITM Integration Mode Control Register Definitions */
-#define ITM_IMCR_INTEGRATION_Pos            0                                             /*!< ITM IMCR: INTEGRATION Position */
+#define ITM_IMCR_INTEGRATION_Pos            0U                                            /*!< ITM IMCR: INTEGRATION Position */
 #define ITM_IMCR_INTEGRATION_Msk           (1UL /*<< ITM_IMCR_INTEGRATION_Pos*/)          /*!< ITM IMCR: INTEGRATION Mask */
 
 /* ITM Lock Status Register Definitions */
-#define ITM_LSR_ByteAcc_Pos                 2                                             /*!< ITM LSR: ByteAcc Position */
+#define ITM_LSR_ByteAcc_Pos                 2U                                            /*!< ITM LSR: ByteAcc Position */
 #define ITM_LSR_ByteAcc_Msk                (1UL << ITM_LSR_ByteAcc_Pos)                   /*!< ITM LSR: ByteAcc Mask */
 
-#define ITM_LSR_Access_Pos                  1                                             /*!< ITM LSR: Access Position */
+#define ITM_LSR_Access_Pos                  1U                                            /*!< ITM LSR: Access Position */
 #define ITM_LSR_Access_Msk                 (1UL << ITM_LSR_Access_Pos)                    /*!< ITM LSR: Access Mask */
 
-#define ITM_LSR_Present_Pos                 0                                             /*!< ITM LSR: Present Position */
+#define ITM_LSR_Present_Pos                 0U                                            /*!< ITM LSR: Present Position */
 #define ITM_LSR_Present_Msk                (1UL /*<< ITM_LSR_Present_Pos*/)               /*!< ITM LSR: Present Mask */
 
 /*@}*/ /* end of group CMSIS_ITM */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
-    \brief      Type definitions for the Data Watchpoint and Trace (DWT)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
+  \brief    Type definitions for the Data Watchpoint and Trace (DWT)
   @{
  */
 
-/** \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
+/**
+  \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
  */
 typedef struct
 {
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  Control Register                          */
-  __IO uint32_t CYCCNT;                  /*!< Offset: 0x004 (R/W)  Cycle Count Register                      */
-  __IO uint32_t CPICNT;                  /*!< Offset: 0x008 (R/W)  CPI Count Register                        */
-  __IO uint32_t EXCCNT;                  /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register         */
-  __IO uint32_t SLEEPCNT;                /*!< Offset: 0x010 (R/W)  Sleep Count Register                      */
-  __IO uint32_t LSUCNT;                  /*!< Offset: 0x014 (R/W)  LSU Count Register                        */
-  __IO uint32_t FOLDCNT;                 /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register         */
-  __I  uint32_t PCSR;                    /*!< Offset: 0x01C (R/ )  Program Counter Sample Register           */
-  __IO uint32_t COMP0;                   /*!< Offset: 0x020 (R/W)  Comparator Register 0                     */
-  __IO uint32_t MASK0;                   /*!< Offset: 0x024 (R/W)  Mask Register 0                           */
-  __IO uint32_t FUNCTION0;               /*!< Offset: 0x028 (R/W)  Function Register 0                       */
-       uint32_t RESERVED0[1];
-  __IO uint32_t COMP1;                   /*!< Offset: 0x030 (R/W)  Comparator Register 1                     */
-  __IO uint32_t MASK1;                   /*!< Offset: 0x034 (R/W)  Mask Register 1                           */
-  __IO uint32_t FUNCTION1;               /*!< Offset: 0x038 (R/W)  Function Register 1                       */
-       uint32_t RESERVED1[1];
-  __IO uint32_t COMP2;                   /*!< Offset: 0x040 (R/W)  Comparator Register 2                     */
-  __IO uint32_t MASK2;                   /*!< Offset: 0x044 (R/W)  Mask Register 2                           */
-  __IO uint32_t FUNCTION2;               /*!< Offset: 0x048 (R/W)  Function Register 2                       */
-       uint32_t RESERVED2[1];
-  __IO uint32_t COMP3;                   /*!< Offset: 0x050 (R/W)  Comparator Register 3                     */
-  __IO uint32_t MASK3;                   /*!< Offset: 0x054 (R/W)  Mask Register 3                           */
-  __IO uint32_t FUNCTION3;               /*!< Offset: 0x058 (R/W)  Function Register 3                       */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  Control Register */
+  __IOM uint32_t CYCCNT;                 /*!< Offset: 0x004 (R/W)  Cycle Count Register */
+  __IOM uint32_t CPICNT;                 /*!< Offset: 0x008 (R/W)  CPI Count Register */
+  __IOM uint32_t EXCCNT;                 /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register */
+  __IOM uint32_t SLEEPCNT;               /*!< Offset: 0x010 (R/W)  Sleep Count Register */
+  __IOM uint32_t LSUCNT;                 /*!< Offset: 0x014 (R/W)  LSU Count Register */
+  __IOM uint32_t FOLDCNT;                /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register */
+  __IM  uint32_t PCSR;                   /*!< Offset: 0x01C (R/ )  Program Counter Sample Register */
+  __IOM uint32_t COMP0;                  /*!< Offset: 0x020 (R/W)  Comparator Register 0 */
+  __IOM uint32_t MASK0;                  /*!< Offset: 0x024 (R/W)  Mask Register 0 */
+  __IOM uint32_t FUNCTION0;              /*!< Offset: 0x028 (R/W)  Function Register 0 */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t COMP1;                  /*!< Offset: 0x030 (R/W)  Comparator Register 1 */
+  __IOM uint32_t MASK1;                  /*!< Offset: 0x034 (R/W)  Mask Register 1 */
+  __IOM uint32_t FUNCTION1;              /*!< Offset: 0x038 (R/W)  Function Register 1 */
+        uint32_t RESERVED1[1U];
+  __IOM uint32_t COMP2;                  /*!< Offset: 0x040 (R/W)  Comparator Register 2 */
+  __IOM uint32_t MASK2;                  /*!< Offset: 0x044 (R/W)  Mask Register 2 */
+  __IOM uint32_t FUNCTION2;              /*!< Offset: 0x048 (R/W)  Function Register 2 */
+        uint32_t RESERVED2[1U];
+  __IOM uint32_t COMP3;                  /*!< Offset: 0x050 (R/W)  Comparator Register 3 */
+  __IOM uint32_t MASK3;                  /*!< Offset: 0x054 (R/W)  Mask Register 3 */
+  __IOM uint32_t FUNCTION3;              /*!< Offset: 0x058 (R/W)  Function Register 3 */
 } DWT_Type;
 
 /* DWT Control Register Definitions */
-#define DWT_CTRL_NUMCOMP_Pos               28                                          /*!< DWT CTRL: NUMCOMP Position */
+#define DWT_CTRL_NUMCOMP_Pos               28U                                         /*!< DWT CTRL: NUMCOMP Position */
 #define DWT_CTRL_NUMCOMP_Msk               (0xFUL << DWT_CTRL_NUMCOMP_Pos)             /*!< DWT CTRL: NUMCOMP Mask */
 
-#define DWT_CTRL_NOTRCPKT_Pos              27                                          /*!< DWT CTRL: NOTRCPKT Position */
+#define DWT_CTRL_NOTRCPKT_Pos              27U                                         /*!< DWT CTRL: NOTRCPKT Position */
 #define DWT_CTRL_NOTRCPKT_Msk              (0x1UL << DWT_CTRL_NOTRCPKT_Pos)            /*!< DWT CTRL: NOTRCPKT Mask */
 
-#define DWT_CTRL_NOEXTTRIG_Pos             26                                          /*!< DWT CTRL: NOEXTTRIG Position */
+#define DWT_CTRL_NOEXTTRIG_Pos             26U                                         /*!< DWT CTRL: NOEXTTRIG Position */
 #define DWT_CTRL_NOEXTTRIG_Msk             (0x1UL << DWT_CTRL_NOEXTTRIG_Pos)           /*!< DWT CTRL: NOEXTTRIG Mask */
 
-#define DWT_CTRL_NOCYCCNT_Pos              25                                          /*!< DWT CTRL: NOCYCCNT Position */
+#define DWT_CTRL_NOCYCCNT_Pos              25U                                         /*!< DWT CTRL: NOCYCCNT Position */
 #define DWT_CTRL_NOCYCCNT_Msk              (0x1UL << DWT_CTRL_NOCYCCNT_Pos)            /*!< DWT CTRL: NOCYCCNT Mask */
 
-#define DWT_CTRL_NOPRFCNT_Pos              24                                          /*!< DWT CTRL: NOPRFCNT Position */
+#define DWT_CTRL_NOPRFCNT_Pos              24U                                         /*!< DWT CTRL: NOPRFCNT Position */
 #define DWT_CTRL_NOPRFCNT_Msk              (0x1UL << DWT_CTRL_NOPRFCNT_Pos)            /*!< DWT CTRL: NOPRFCNT Mask */
 
-#define DWT_CTRL_CYCEVTENA_Pos             22                                          /*!< DWT CTRL: CYCEVTENA Position */
+#define DWT_CTRL_CYCEVTENA_Pos             22U                                         /*!< DWT CTRL: CYCEVTENA Position */
 #define DWT_CTRL_CYCEVTENA_Msk             (0x1UL << DWT_CTRL_CYCEVTENA_Pos)           /*!< DWT CTRL: CYCEVTENA Mask */
 
-#define DWT_CTRL_FOLDEVTENA_Pos            21                                          /*!< DWT CTRL: FOLDEVTENA Position */
+#define DWT_CTRL_FOLDEVTENA_Pos            21U                                         /*!< DWT CTRL: FOLDEVTENA Position */
 #define DWT_CTRL_FOLDEVTENA_Msk            (0x1UL << DWT_CTRL_FOLDEVTENA_Pos)          /*!< DWT CTRL: FOLDEVTENA Mask */
 
-#define DWT_CTRL_LSUEVTENA_Pos             20                                          /*!< DWT CTRL: LSUEVTENA Position */
+#define DWT_CTRL_LSUEVTENA_Pos             20U                                         /*!< DWT CTRL: LSUEVTENA Position */
 #define DWT_CTRL_LSUEVTENA_Msk             (0x1UL << DWT_CTRL_LSUEVTENA_Pos)           /*!< DWT CTRL: LSUEVTENA Mask */
 
-#define DWT_CTRL_SLEEPEVTENA_Pos           19                                          /*!< DWT CTRL: SLEEPEVTENA Position */
+#define DWT_CTRL_SLEEPEVTENA_Pos           19U                                         /*!< DWT CTRL: SLEEPEVTENA Position */
 #define DWT_CTRL_SLEEPEVTENA_Msk           (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos)         /*!< DWT CTRL: SLEEPEVTENA Mask */
 
-#define DWT_CTRL_EXCEVTENA_Pos             18                                          /*!< DWT CTRL: EXCEVTENA Position */
+#define DWT_CTRL_EXCEVTENA_Pos             18U                                         /*!< DWT CTRL: EXCEVTENA Position */
 #define DWT_CTRL_EXCEVTENA_Msk             (0x1UL << DWT_CTRL_EXCEVTENA_Pos)           /*!< DWT CTRL: EXCEVTENA Mask */
 
-#define DWT_CTRL_CPIEVTENA_Pos             17                                          /*!< DWT CTRL: CPIEVTENA Position */
+#define DWT_CTRL_CPIEVTENA_Pos             17U                                         /*!< DWT CTRL: CPIEVTENA Position */
 #define DWT_CTRL_CPIEVTENA_Msk             (0x1UL << DWT_CTRL_CPIEVTENA_Pos)           /*!< DWT CTRL: CPIEVTENA Mask */
 
-#define DWT_CTRL_EXCTRCENA_Pos             16                                          /*!< DWT CTRL: EXCTRCENA Position */
+#define DWT_CTRL_EXCTRCENA_Pos             16U                                         /*!< DWT CTRL: EXCTRCENA Position */
 #define DWT_CTRL_EXCTRCENA_Msk             (0x1UL << DWT_CTRL_EXCTRCENA_Pos)           /*!< DWT CTRL: EXCTRCENA Mask */
 
-#define DWT_CTRL_PCSAMPLENA_Pos            12                                          /*!< DWT CTRL: PCSAMPLENA Position */
+#define DWT_CTRL_PCSAMPLENA_Pos            12U                                         /*!< DWT CTRL: PCSAMPLENA Position */
 #define DWT_CTRL_PCSAMPLENA_Msk            (0x1UL << DWT_CTRL_PCSAMPLENA_Pos)          /*!< DWT CTRL: PCSAMPLENA Mask */
 
-#define DWT_CTRL_SYNCTAP_Pos               10                                          /*!< DWT CTRL: SYNCTAP Position */
+#define DWT_CTRL_SYNCTAP_Pos               10U                                         /*!< DWT CTRL: SYNCTAP Position */
 #define DWT_CTRL_SYNCTAP_Msk               (0x3UL << DWT_CTRL_SYNCTAP_Pos)             /*!< DWT CTRL: SYNCTAP Mask */
 
-#define DWT_CTRL_CYCTAP_Pos                 9                                          /*!< DWT CTRL: CYCTAP Position */
+#define DWT_CTRL_CYCTAP_Pos                 9U                                         /*!< DWT CTRL: CYCTAP Position */
 #define DWT_CTRL_CYCTAP_Msk                (0x1UL << DWT_CTRL_CYCTAP_Pos)              /*!< DWT CTRL: CYCTAP Mask */
 
-#define DWT_CTRL_POSTINIT_Pos               5                                          /*!< DWT CTRL: POSTINIT Position */
+#define DWT_CTRL_POSTINIT_Pos               5U                                         /*!< DWT CTRL: POSTINIT Position */
 #define DWT_CTRL_POSTINIT_Msk              (0xFUL << DWT_CTRL_POSTINIT_Pos)            /*!< DWT CTRL: POSTINIT Mask */
 
-#define DWT_CTRL_POSTPRESET_Pos             1                                          /*!< DWT CTRL: POSTPRESET Position */
+#define DWT_CTRL_POSTPRESET_Pos             1U                                         /*!< DWT CTRL: POSTPRESET Position */
 #define DWT_CTRL_POSTPRESET_Msk            (0xFUL << DWT_CTRL_POSTPRESET_Pos)          /*!< DWT CTRL: POSTPRESET Mask */
 
-#define DWT_CTRL_CYCCNTENA_Pos              0                                          /*!< DWT CTRL: CYCCNTENA Position */
+#define DWT_CTRL_CYCCNTENA_Pos              0U                                         /*!< DWT CTRL: CYCCNTENA Position */
 #define DWT_CTRL_CYCCNTENA_Msk             (0x1UL /*<< DWT_CTRL_CYCCNTENA_Pos*/)       /*!< DWT CTRL: CYCCNTENA Mask */
 
 /* DWT CPI Count Register Definitions */
-#define DWT_CPICNT_CPICNT_Pos               0                                          /*!< DWT CPICNT: CPICNT Position */
+#define DWT_CPICNT_CPICNT_Pos               0U                                         /*!< DWT CPICNT: CPICNT Position */
 #define DWT_CPICNT_CPICNT_Msk              (0xFFUL /*<< DWT_CPICNT_CPICNT_Pos*/)       /*!< DWT CPICNT: CPICNT Mask */
 
 /* DWT Exception Overhead Count Register Definitions */
-#define DWT_EXCCNT_EXCCNT_Pos               0                                          /*!< DWT EXCCNT: EXCCNT Position */
+#define DWT_EXCCNT_EXCCNT_Pos               0U                                         /*!< DWT EXCCNT: EXCCNT Position */
 #define DWT_EXCCNT_EXCCNT_Msk              (0xFFUL /*<< DWT_EXCCNT_EXCCNT_Pos*/)       /*!< DWT EXCCNT: EXCCNT Mask */
 
 /* DWT Sleep Count Register Definitions */
-#define DWT_SLEEPCNT_SLEEPCNT_Pos           0                                          /*!< DWT SLEEPCNT: SLEEPCNT Position */
+#define DWT_SLEEPCNT_SLEEPCNT_Pos           0U                                         /*!< DWT SLEEPCNT: SLEEPCNT Position */
 #define DWT_SLEEPCNT_SLEEPCNT_Msk          (0xFFUL /*<< DWT_SLEEPCNT_SLEEPCNT_Pos*/)   /*!< DWT SLEEPCNT: SLEEPCNT Mask */
 
 /* DWT LSU Count Register Definitions */
-#define DWT_LSUCNT_LSUCNT_Pos               0                                          /*!< DWT LSUCNT: LSUCNT Position */
+#define DWT_LSUCNT_LSUCNT_Pos               0U                                         /*!< DWT LSUCNT: LSUCNT Position */
 #define DWT_LSUCNT_LSUCNT_Msk              (0xFFUL /*<< DWT_LSUCNT_LSUCNT_Pos*/)       /*!< DWT LSUCNT: LSUCNT Mask */
 
 /* DWT Folded-instruction Count Register Definitions */
-#define DWT_FOLDCNT_FOLDCNT_Pos             0                                          /*!< DWT FOLDCNT: FOLDCNT Position */
+#define DWT_FOLDCNT_FOLDCNT_Pos             0U                                         /*!< DWT FOLDCNT: FOLDCNT Position */
 #define DWT_FOLDCNT_FOLDCNT_Msk            (0xFFUL /*<< DWT_FOLDCNT_FOLDCNT_Pos*/)     /*!< DWT FOLDCNT: FOLDCNT Mask */
 
 /* DWT Comparator Mask Register Definitions */
-#define DWT_MASK_MASK_Pos                   0                                          /*!< DWT MASK: MASK Position */
+#define DWT_MASK_MASK_Pos                   0U                                         /*!< DWT MASK: MASK Position */
 #define DWT_MASK_MASK_Msk                  (0x1FUL /*<< DWT_MASK_MASK_Pos*/)           /*!< DWT MASK: MASK Mask */
 
 /* DWT Comparator Function Register Definitions */
-#define DWT_FUNCTION_MATCHED_Pos           24                                          /*!< DWT FUNCTION: MATCHED Position */
+#define DWT_FUNCTION_MATCHED_Pos           24U                                         /*!< DWT FUNCTION: MATCHED Position */
 #define DWT_FUNCTION_MATCHED_Msk           (0x1UL << DWT_FUNCTION_MATCHED_Pos)         /*!< DWT FUNCTION: MATCHED Mask */
 
-#define DWT_FUNCTION_DATAVADDR1_Pos        16                                          /*!< DWT FUNCTION: DATAVADDR1 Position */
+#define DWT_FUNCTION_DATAVADDR1_Pos        16U                                         /*!< DWT FUNCTION: DATAVADDR1 Position */
 #define DWT_FUNCTION_DATAVADDR1_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos)      /*!< DWT FUNCTION: DATAVADDR1 Mask */
 
-#define DWT_FUNCTION_DATAVADDR0_Pos        12                                          /*!< DWT FUNCTION: DATAVADDR0 Position */
+#define DWT_FUNCTION_DATAVADDR0_Pos        12U                                         /*!< DWT FUNCTION: DATAVADDR0 Position */
 #define DWT_FUNCTION_DATAVADDR0_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos)      /*!< DWT FUNCTION: DATAVADDR0 Mask */
 
-#define DWT_FUNCTION_DATAVSIZE_Pos         10                                          /*!< DWT FUNCTION: DATAVSIZE Position */
+#define DWT_FUNCTION_DATAVSIZE_Pos         10U                                         /*!< DWT FUNCTION: DATAVSIZE Position */
 #define DWT_FUNCTION_DATAVSIZE_Msk         (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos)       /*!< DWT FUNCTION: DATAVSIZE Mask */
 
-#define DWT_FUNCTION_LNK1ENA_Pos            9                                          /*!< DWT FUNCTION: LNK1ENA Position */
+#define DWT_FUNCTION_LNK1ENA_Pos            9U                                         /*!< DWT FUNCTION: LNK1ENA Position */
 #define DWT_FUNCTION_LNK1ENA_Msk           (0x1UL << DWT_FUNCTION_LNK1ENA_Pos)         /*!< DWT FUNCTION: LNK1ENA Mask */
 
-#define DWT_FUNCTION_DATAVMATCH_Pos         8                                          /*!< DWT FUNCTION: DATAVMATCH Position */
+#define DWT_FUNCTION_DATAVMATCH_Pos         8U                                         /*!< DWT FUNCTION: DATAVMATCH Position */
 #define DWT_FUNCTION_DATAVMATCH_Msk        (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos)      /*!< DWT FUNCTION: DATAVMATCH Mask */
 
-#define DWT_FUNCTION_CYCMATCH_Pos           7                                          /*!< DWT FUNCTION: CYCMATCH Position */
+#define DWT_FUNCTION_CYCMATCH_Pos           7U                                         /*!< DWT FUNCTION: CYCMATCH Position */
 #define DWT_FUNCTION_CYCMATCH_Msk          (0x1UL << DWT_FUNCTION_CYCMATCH_Pos)        /*!< DWT FUNCTION: CYCMATCH Mask */
 
-#define DWT_FUNCTION_EMITRANGE_Pos          5                                          /*!< DWT FUNCTION: EMITRANGE Position */
+#define DWT_FUNCTION_EMITRANGE_Pos          5U                                         /*!< DWT FUNCTION: EMITRANGE Position */
 #define DWT_FUNCTION_EMITRANGE_Msk         (0x1UL << DWT_FUNCTION_EMITRANGE_Pos)       /*!< DWT FUNCTION: EMITRANGE Mask */
 
-#define DWT_FUNCTION_FUNCTION_Pos           0                                          /*!< DWT FUNCTION: FUNCTION Position */
+#define DWT_FUNCTION_FUNCTION_Pos           0U                                         /*!< DWT FUNCTION: FUNCTION Position */
 #define DWT_FUNCTION_FUNCTION_Msk          (0xFUL /*<< DWT_FUNCTION_FUNCTION_Pos*/)    /*!< DWT FUNCTION: FUNCTION Mask */
 
 /*@}*/ /* end of group CMSIS_DWT */
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_TPI     Trace Port Interface (TPI)
-    \brief      Type definitions for the Trace Port Interface (TPI)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_TPI     Trace Port Interface (TPI)
+  \brief    Type definitions for the Trace Port Interface (TPI)
   @{
  */
 
-/** \brief  Structure type to access the Trace Port Interface Register (TPI).
+/**
+  \brief  Structure type to access the Trace Port Interface Register (TPI).
  */
 typedef struct
 {
-  __IO uint32_t SSPSR;                   /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register     */
-  __IO uint32_t CSPSR;                   /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
-       uint32_t RESERVED0[2];
-  __IO uint32_t ACPR;                    /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
-       uint32_t RESERVED1[55];
-  __IO uint32_t SPPR;                    /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
-       uint32_t RESERVED2[131];
-  __I  uint32_t FFSR;                    /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
-  __IO uint32_t FFCR;                    /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
-  __I  uint32_t FSCR;                    /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
-       uint32_t RESERVED3[759];
-  __I  uint32_t TRIGGER;                 /*!< Offset: 0xEE8 (R/ )  TRIGGER */
-  __I  uint32_t FIFO0;                   /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
-  __I  uint32_t ITATBCTR2;               /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
-       uint32_t RESERVED4[1];
-  __I  uint32_t ITATBCTR0;               /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
-  __I  uint32_t FIFO1;                   /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
-  __IO uint32_t ITCTRL;                  /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
-       uint32_t RESERVED5[39];
-  __IO uint32_t CLAIMSET;                /*!< Offset: 0xFA0 (R/W)  Claim tag set */
-  __IO uint32_t CLAIMCLR;                /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
-       uint32_t RESERVED7[8];
-  __I  uint32_t DEVID;                   /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
-  __I  uint32_t DEVTYPE;                 /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
+  __IM  uint32_t SSPSR;                  /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register */
+  __IOM uint32_t CSPSR;                  /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
+        uint32_t RESERVED0[2U];
+  __IOM uint32_t ACPR;                   /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
+        uint32_t RESERVED1[55U];
+  __IOM uint32_t SPPR;                   /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
+        uint32_t RESERVED2[131U];
+  __IM  uint32_t FFSR;                   /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
+  __IOM uint32_t FFCR;                   /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
+  __IM  uint32_t FSCR;                   /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
+        uint32_t RESERVED3[759U];
+  __IM  uint32_t TRIGGER;                /*!< Offset: 0xEE8 (R/ )  TRIGGER Register */
+  __IM  uint32_t FIFO0;                  /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
+  __IM  uint32_t ITATBCTR2;              /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
+        uint32_t RESERVED4[1U];
+  __IM  uint32_t ITATBCTR0;              /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
+  __IM  uint32_t FIFO1;                  /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
+  __IOM uint32_t ITCTRL;                 /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
+        uint32_t RESERVED5[39U];
+  __IOM uint32_t CLAIMSET;               /*!< Offset: 0xFA0 (R/W)  Claim tag set */
+  __IOM uint32_t CLAIMCLR;               /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
+        uint32_t RESERVED7[8U];
+  __IM  uint32_t DEVID;                  /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
+  __IM  uint32_t DEVTYPE;                /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
 } TPI_Type;
 
 /* TPI Asynchronous Clock Prescaler Register Definitions */
-#define TPI_ACPR_PRESCALER_Pos              0                                          /*!< TPI ACPR: PRESCALER Position */
+#define TPI_ACPR_PRESCALER_Pos              0U                                         /*!< TPI ACPR: PRESCALER Position */
 #define TPI_ACPR_PRESCALER_Msk             (0x1FFFUL /*<< TPI_ACPR_PRESCALER_Pos*/)    /*!< TPI ACPR: PRESCALER Mask */
 
 /* TPI Selected Pin Protocol Register Definitions */
-#define TPI_SPPR_TXMODE_Pos                 0                                          /*!< TPI SPPR: TXMODE Position */
+#define TPI_SPPR_TXMODE_Pos                 0U                                         /*!< TPI SPPR: TXMODE Position */
 #define TPI_SPPR_TXMODE_Msk                (0x3UL /*<< TPI_SPPR_TXMODE_Pos*/)          /*!< TPI SPPR: TXMODE Mask */
 
 /* TPI Formatter and Flush Status Register Definitions */
-#define TPI_FFSR_FtNonStop_Pos              3                                          /*!< TPI FFSR: FtNonStop Position */
+#define TPI_FFSR_FtNonStop_Pos              3U                                         /*!< TPI FFSR: FtNonStop Position */
 #define TPI_FFSR_FtNonStop_Msk             (0x1UL << TPI_FFSR_FtNonStop_Pos)           /*!< TPI FFSR: FtNonStop Mask */
 
-#define TPI_FFSR_TCPresent_Pos              2                                          /*!< TPI FFSR: TCPresent Position */
+#define TPI_FFSR_TCPresent_Pos              2U                                         /*!< TPI FFSR: TCPresent Position */
 #define TPI_FFSR_TCPresent_Msk             (0x1UL << TPI_FFSR_TCPresent_Pos)           /*!< TPI FFSR: TCPresent Mask */
 
-#define TPI_FFSR_FtStopped_Pos              1                                          /*!< TPI FFSR: FtStopped Position */
+#define TPI_FFSR_FtStopped_Pos              1U                                         /*!< TPI FFSR: FtStopped Position */
 #define TPI_FFSR_FtStopped_Msk             (0x1UL << TPI_FFSR_FtStopped_Pos)           /*!< TPI FFSR: FtStopped Mask */
 
-#define TPI_FFSR_FlInProg_Pos               0                                          /*!< TPI FFSR: FlInProg Position */
+#define TPI_FFSR_FlInProg_Pos               0U                                         /*!< TPI FFSR: FlInProg Position */
 #define TPI_FFSR_FlInProg_Msk              (0x1UL /*<< TPI_FFSR_FlInProg_Pos*/)        /*!< TPI FFSR: FlInProg Mask */
 
 /* TPI Formatter and Flush Control Register Definitions */
-#define TPI_FFCR_TrigIn_Pos                 8                                          /*!< TPI FFCR: TrigIn Position */
+#define TPI_FFCR_TrigIn_Pos                 8U                                         /*!< TPI FFCR: TrigIn Position */
 #define TPI_FFCR_TrigIn_Msk                (0x1UL << TPI_FFCR_TrigIn_Pos)              /*!< TPI FFCR: TrigIn Mask */
 
-#define TPI_FFCR_EnFCont_Pos                1                                          /*!< TPI FFCR: EnFCont Position */
+#define TPI_FFCR_EnFCont_Pos                1U                                         /*!< TPI FFCR: EnFCont Position */
 #define TPI_FFCR_EnFCont_Msk               (0x1UL << TPI_FFCR_EnFCont_Pos)             /*!< TPI FFCR: EnFCont Mask */
 
 /* TPI TRIGGER Register Definitions */
-#define TPI_TRIGGER_TRIGGER_Pos             0                                          /*!< TPI TRIGGER: TRIGGER Position */
+#define TPI_TRIGGER_TRIGGER_Pos             0U                                         /*!< TPI TRIGGER: TRIGGER Position */
 #define TPI_TRIGGER_TRIGGER_Msk            (0x1UL /*<< TPI_TRIGGER_TRIGGER_Pos*/)      /*!< TPI TRIGGER: TRIGGER Mask */
 
 /* TPI Integration ETM Data Register Definitions (FIFO0) */
-#define TPI_FIFO0_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO0: ITM_ATVALID Position */
+#define TPI_FIFO0_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO0: ITM_ATVALID Position */
 #define TPI_FIFO0_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ITM_ATVALID_Pos)        /*!< TPI FIFO0: ITM_ATVALID Mask */
 
-#define TPI_FIFO0_ITM_bytecount_Pos        27                                          /*!< TPI FIFO0: ITM_bytecount Position */
+#define TPI_FIFO0_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO0: ITM_bytecount Position */
 #define TPI_FIFO0_ITM_bytecount_Msk        (0x3UL << TPI_FIFO0_ITM_bytecount_Pos)      /*!< TPI FIFO0: ITM_bytecount Mask */
 
-#define TPI_FIFO0_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO0: ETM_ATVALID Position */
+#define TPI_FIFO0_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO0: ETM_ATVALID Position */
 #define TPI_FIFO0_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ETM_ATVALID_Pos)        /*!< TPI FIFO0: ETM_ATVALID Mask */
 
-#define TPI_FIFO0_ETM_bytecount_Pos        24                                          /*!< TPI FIFO0: ETM_bytecount Position */
+#define TPI_FIFO0_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO0: ETM_bytecount Position */
 #define TPI_FIFO0_ETM_bytecount_Msk        (0x3UL << TPI_FIFO0_ETM_bytecount_Pos)      /*!< TPI FIFO0: ETM_bytecount Mask */
 
-#define TPI_FIFO0_ETM2_Pos                 16                                          /*!< TPI FIFO0: ETM2 Position */
+#define TPI_FIFO0_ETM2_Pos                 16U                                         /*!< TPI FIFO0: ETM2 Position */
 #define TPI_FIFO0_ETM2_Msk                 (0xFFUL << TPI_FIFO0_ETM2_Pos)              /*!< TPI FIFO0: ETM2 Mask */
 
-#define TPI_FIFO0_ETM1_Pos                  8                                          /*!< TPI FIFO0: ETM1 Position */
+#define TPI_FIFO0_ETM1_Pos                  8U                                         /*!< TPI FIFO0: ETM1 Position */
 #define TPI_FIFO0_ETM1_Msk                 (0xFFUL << TPI_FIFO0_ETM1_Pos)              /*!< TPI FIFO0: ETM1 Mask */
 
-#define TPI_FIFO0_ETM0_Pos                  0                                          /*!< TPI FIFO0: ETM0 Position */
+#define TPI_FIFO0_ETM0_Pos                  0U                                         /*!< TPI FIFO0: ETM0 Position */
 #define TPI_FIFO0_ETM0_Msk                 (0xFFUL /*<< TPI_FIFO0_ETM0_Pos*/)          /*!< TPI FIFO0: ETM0 Mask */
 
 /* TPI ITATBCTR2 Register Definitions */
-#define TPI_ITATBCTR2_ATREADY_Pos           0                                          /*!< TPI ITATBCTR2: ATREADY Position */
-#define TPI_ITATBCTR2_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR2_ATREADY_Pos*/)    /*!< TPI ITATBCTR2: ATREADY Mask */
+#define TPI_ITATBCTR2_ATREADY2_Pos          0U                                         /*!< TPI ITATBCTR2: ATREADY2 Position */
+#define TPI_ITATBCTR2_ATREADY2_Msk         (0x1UL /*<< TPI_ITATBCTR2_ATREADY2_Pos*/)   /*!< TPI ITATBCTR2: ATREADY2 Mask */
+
+#define TPI_ITATBCTR2_ATREADY1_Pos          0U                                         /*!< TPI ITATBCTR2: ATREADY1 Position */
+#define TPI_ITATBCTR2_ATREADY1_Msk         (0x1UL /*<< TPI_ITATBCTR2_ATREADY1_Pos*/)   /*!< TPI ITATBCTR2: ATREADY1 Mask */
 
 /* TPI Integration ITM Data Register Definitions (FIFO1) */
-#define TPI_FIFO1_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO1: ITM_ATVALID Position */
+#define TPI_FIFO1_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO1: ITM_ATVALID Position */
 #define TPI_FIFO1_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ITM_ATVALID_Pos)        /*!< TPI FIFO1: ITM_ATVALID Mask */
 
-#define TPI_FIFO1_ITM_bytecount_Pos        27                                          /*!< TPI FIFO1: ITM_bytecount Position */
+#define TPI_FIFO1_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO1: ITM_bytecount Position */
 #define TPI_FIFO1_ITM_bytecount_Msk        (0x3UL << TPI_FIFO1_ITM_bytecount_Pos)      /*!< TPI FIFO1: ITM_bytecount Mask */
 
-#define TPI_FIFO1_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO1: ETM_ATVALID Position */
+#define TPI_FIFO1_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO1: ETM_ATVALID Position */
 #define TPI_FIFO1_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ETM_ATVALID_Pos)        /*!< TPI FIFO1: ETM_ATVALID Mask */
 
-#define TPI_FIFO1_ETM_bytecount_Pos        24                                          /*!< TPI FIFO1: ETM_bytecount Position */
+#define TPI_FIFO1_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO1: ETM_bytecount Position */
 #define TPI_FIFO1_ETM_bytecount_Msk        (0x3UL << TPI_FIFO1_ETM_bytecount_Pos)      /*!< TPI FIFO1: ETM_bytecount Mask */
 
-#define TPI_FIFO1_ITM2_Pos                 16                                          /*!< TPI FIFO1: ITM2 Position */
+#define TPI_FIFO1_ITM2_Pos                 16U                                         /*!< TPI FIFO1: ITM2 Position */
 #define TPI_FIFO1_ITM2_Msk                 (0xFFUL << TPI_FIFO1_ITM2_Pos)              /*!< TPI FIFO1: ITM2 Mask */
 
-#define TPI_FIFO1_ITM1_Pos                  8                                          /*!< TPI FIFO1: ITM1 Position */
+#define TPI_FIFO1_ITM1_Pos                  8U                                         /*!< TPI FIFO1: ITM1 Position */
 #define TPI_FIFO1_ITM1_Msk                 (0xFFUL << TPI_FIFO1_ITM1_Pos)              /*!< TPI FIFO1: ITM1 Mask */
 
-#define TPI_FIFO1_ITM0_Pos                  0                                          /*!< TPI FIFO1: ITM0 Position */
+#define TPI_FIFO1_ITM0_Pos                  0U                                         /*!< TPI FIFO1: ITM0 Position */
 #define TPI_FIFO1_ITM0_Msk                 (0xFFUL /*<< TPI_FIFO1_ITM0_Pos*/)          /*!< TPI FIFO1: ITM0 Mask */
 
 /* TPI ITATBCTR0 Register Definitions */
-#define TPI_ITATBCTR0_ATREADY_Pos           0                                          /*!< TPI ITATBCTR0: ATREADY Position */
-#define TPI_ITATBCTR0_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR0_ATREADY_Pos*/)    /*!< TPI ITATBCTR0: ATREADY Mask */
+#define TPI_ITATBCTR0_ATREADY2_Pos          0U                                         /*!< TPI ITATBCTR0: ATREADY2 Position */
+#define TPI_ITATBCTR0_ATREADY2_Msk         (0x1UL /*<< TPI_ITATBCTR0_ATREADY2_Pos*/)   /*!< TPI ITATBCTR0: ATREADY2 Mask */
+
+#define TPI_ITATBCTR0_ATREADY1_Pos          0U                                         /*!< TPI ITATBCTR0: ATREADY1 Position */
+#define TPI_ITATBCTR0_ATREADY1_Msk         (0x1UL /*<< TPI_ITATBCTR0_ATREADY1_Pos*/)   /*!< TPI ITATBCTR0: ATREADY1 Mask */
 
 /* TPI Integration Mode Control Register Definitions */
-#define TPI_ITCTRL_Mode_Pos                 0                                          /*!< TPI ITCTRL: Mode Position */
-#define TPI_ITCTRL_Mode_Msk                (0x1UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
+#define TPI_ITCTRL_Mode_Pos                 0U                                         /*!< TPI ITCTRL: Mode Position */
+#define TPI_ITCTRL_Mode_Msk                (0x3UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
 
 /* TPI DEVID Register Definitions */
-#define TPI_DEVID_NRZVALID_Pos             11                                          /*!< TPI DEVID: NRZVALID Position */
+#define TPI_DEVID_NRZVALID_Pos             11U                                         /*!< TPI DEVID: NRZVALID Position */
 #define TPI_DEVID_NRZVALID_Msk             (0x1UL << TPI_DEVID_NRZVALID_Pos)           /*!< TPI DEVID: NRZVALID Mask */
 
-#define TPI_DEVID_MANCVALID_Pos            10                                          /*!< TPI DEVID: MANCVALID Position */
+#define TPI_DEVID_MANCVALID_Pos            10U                                         /*!< TPI DEVID: MANCVALID Position */
 #define TPI_DEVID_MANCVALID_Msk            (0x1UL << TPI_DEVID_MANCVALID_Pos)          /*!< TPI DEVID: MANCVALID Mask */
 
-#define TPI_DEVID_PTINVALID_Pos             9                                          /*!< TPI DEVID: PTINVALID Position */
+#define TPI_DEVID_PTINVALID_Pos             9U                                         /*!< TPI DEVID: PTINVALID Position */
 #define TPI_DEVID_PTINVALID_Msk            (0x1UL << TPI_DEVID_PTINVALID_Pos)          /*!< TPI DEVID: PTINVALID Mask */
 
-#define TPI_DEVID_MinBufSz_Pos              6                                          /*!< TPI DEVID: MinBufSz Position */
+#define TPI_DEVID_MinBufSz_Pos              6U                                         /*!< TPI DEVID: MinBufSz Position */
 #define TPI_DEVID_MinBufSz_Msk             (0x7UL << TPI_DEVID_MinBufSz_Pos)           /*!< TPI DEVID: MinBufSz Mask */
 
-#define TPI_DEVID_AsynClkIn_Pos             5                                          /*!< TPI DEVID: AsynClkIn Position */
+#define TPI_DEVID_AsynClkIn_Pos             5U                                         /*!< TPI DEVID: AsynClkIn Position */
 #define TPI_DEVID_AsynClkIn_Msk            (0x1UL << TPI_DEVID_AsynClkIn_Pos)          /*!< TPI DEVID: AsynClkIn Mask */
 
-#define TPI_DEVID_NrTraceInput_Pos          0                                          /*!< TPI DEVID: NrTraceInput Position */
+#define TPI_DEVID_NrTraceInput_Pos          0U                                         /*!< TPI DEVID: NrTraceInput Position */
 #define TPI_DEVID_NrTraceInput_Msk         (0x1FUL /*<< TPI_DEVID_NrTraceInput_Pos*/)  /*!< TPI DEVID: NrTraceInput Mask */
 
 /* TPI DEVTYPE Register Definitions */
-#define TPI_DEVTYPE_MajorType_Pos           4                                          /*!< TPI DEVTYPE: MajorType Position */
-#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
-
-#define TPI_DEVTYPE_SubType_Pos             0                                          /*!< TPI DEVTYPE: SubType Position */
+#define TPI_DEVTYPE_SubType_Pos             4U                                         /*!< TPI DEVTYPE: SubType Position */
 #define TPI_DEVTYPE_SubType_Msk            (0xFUL /*<< TPI_DEVTYPE_SubType_Pos*/)      /*!< TPI DEVTYPE: SubType Mask */
 
+#define TPI_DEVTYPE_MajorType_Pos           0U                                         /*!< TPI DEVTYPE: MajorType Position */
+#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
+
 /*@}*/ /* end of group CMSIS_TPI */
 
 
-#if (__MPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
-    \brief      Type definitions for the Memory Protection Unit (MPU)
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
   @{
  */
 
-/** \brief  Structure type to access the Memory Protection Unit (MPU).
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
  */
 typedef struct
 {
-  __I  uint32_t TYPE;                    /*!< Offset: 0x000 (R/ )  MPU Type Register                              */
-  __IO uint32_t CTRL;                    /*!< Offset: 0x004 (R/W)  MPU Control Register                           */
-  __IO uint32_t RNR;                     /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register                     */
-  __IO uint32_t RBAR;                    /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register               */
-  __IO uint32_t RASR;                    /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register         */
-  __IO uint32_t RBAR_A1;                 /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register       */
-  __IO uint32_t RASR_A1;                 /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A2;                 /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register       */
-  __IO uint32_t RASR_A2;                 /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A3;                 /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register       */
-  __IO uint32_t RASR_A3;                 /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A1;                /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register */
+  __IOM uint32_t RASR_A1;                /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A2;                /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register */
+  __IOM uint32_t RASR_A2;                /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A3;                /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register */
+  __IOM uint32_t RASR_A3;                /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
 } MPU_Type;
 
-/* MPU Type Register */
-#define MPU_TYPE_IREGION_Pos               16                                             /*!< MPU TYPE: IREGION Position */
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
 #define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
 
-#define MPU_TYPE_DREGION_Pos                8                                             /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
 #define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
 
-#define MPU_TYPE_SEPARATE_Pos               0                                             /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
 #define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
 
-/* MPU Control Register */
-#define MPU_CTRL_PRIVDEFENA_Pos             2                                             /*!< MPU CTRL: PRIVDEFENA Position */
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
 #define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
 
-#define MPU_CTRL_HFNMIENA_Pos               1                                             /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
 #define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
 
-#define MPU_CTRL_ENABLE_Pos                 0                                             /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
 #define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
 
-/* MPU Region Number Register */
-#define MPU_RNR_REGION_Pos                  0                                             /*!< MPU RNR: REGION Position */
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
 #define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
 
-/* MPU Region Base Address Register */
-#define MPU_RBAR_ADDR_Pos                   5                                             /*!< MPU RBAR: ADDR Position */
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   5U                                            /*!< MPU RBAR: ADDR Position */
 #define MPU_RBAR_ADDR_Msk                  (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos)             /*!< MPU RBAR: ADDR Mask */
 
-#define MPU_RBAR_VALID_Pos                  4                                             /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
 #define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
 
-#define MPU_RBAR_REGION_Pos                 0                                             /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
 #define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
 
-/* MPU Region Attribute and Size Register */
-#define MPU_RASR_ATTRS_Pos                 16                                             /*!< MPU RASR: MPU Region Attribute field Position */
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
 #define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
 
-#define MPU_RASR_XN_Pos                    28                                             /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
 #define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
 
-#define MPU_RASR_AP_Pos                    24                                             /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
 #define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
 
-#define MPU_RASR_TEX_Pos                   19                                             /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
 #define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
 
-#define MPU_RASR_S_Pos                     18                                             /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
 #define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
 
-#define MPU_RASR_C_Pos                     17                                             /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
 #define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
 
-#define MPU_RASR_B_Pos                     16                                             /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
 #define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
 
-#define MPU_RASR_SRD_Pos                    8                                             /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
 #define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
 
-#define MPU_RASR_SIZE_Pos                   1                                             /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
 #define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
 
-#define MPU_RASR_ENABLE_Pos                 0                                             /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
 #define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
 
 /*@} end of group CMSIS_MPU */
 #endif
 
 
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
-    \brief      Type definitions for the Core Debug Registers
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Type definitions for the Core Debug Registers
   @{
  */
 
-/** \brief  Structure type to access the Core Debug Register (CoreDebug).
+/**
+  \brief  Structure type to access the Core Debug Register (CoreDebug).
  */
 typedef struct
 {
-  __IO uint32_t DHCSR;                   /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register    */
-  __O  uint32_t DCRSR;                   /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register        */
-  __IO uint32_t DCRDR;                   /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register            */
-  __IO uint32_t DEMCR;                   /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
+  __IOM uint32_t DHCSR;                  /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register */
+  __OM  uint32_t DCRSR;                  /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register */
+  __IOM uint32_t DCRDR;                  /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register */
+  __IOM uint32_t DEMCR;                  /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
 } CoreDebug_Type;
 
-/* Debug Halting Control and Status Register */
-#define CoreDebug_DHCSR_DBGKEY_Pos         16                                             /*!< CoreDebug DHCSR: DBGKEY Position */
+/* Debug Halting Control and Status Register Definitions */
+#define CoreDebug_DHCSR_DBGKEY_Pos         16U                                            /*!< CoreDebug DHCSR: DBGKEY Position */
 #define CoreDebug_DHCSR_DBGKEY_Msk         (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos)       /*!< CoreDebug DHCSR: DBGKEY Mask */
 
-#define CoreDebug_DHCSR_S_RESET_ST_Pos     25                                             /*!< CoreDebug DHCSR: S_RESET_ST Position */
+#define CoreDebug_DHCSR_S_RESET_ST_Pos     25U                                            /*!< CoreDebug DHCSR: S_RESET_ST Position */
 #define CoreDebug_DHCSR_S_RESET_ST_Msk     (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos)        /*!< CoreDebug DHCSR: S_RESET_ST Mask */
 
-#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24                                             /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
+#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24U                                            /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
 #define CoreDebug_DHCSR_S_RETIRE_ST_Msk    (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos)       /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */
 
-#define CoreDebug_DHCSR_S_LOCKUP_Pos       19                                             /*!< CoreDebug DHCSR: S_LOCKUP Position */
+#define CoreDebug_DHCSR_S_LOCKUP_Pos       19U                                            /*!< CoreDebug DHCSR: S_LOCKUP Position */
 #define CoreDebug_DHCSR_S_LOCKUP_Msk       (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos)          /*!< CoreDebug DHCSR: S_LOCKUP Mask */
 
-#define CoreDebug_DHCSR_S_SLEEP_Pos        18                                             /*!< CoreDebug DHCSR: S_SLEEP Position */
+#define CoreDebug_DHCSR_S_SLEEP_Pos        18U                                            /*!< CoreDebug DHCSR: S_SLEEP Position */
 #define CoreDebug_DHCSR_S_SLEEP_Msk        (1UL << CoreDebug_DHCSR_S_SLEEP_Pos)           /*!< CoreDebug DHCSR: S_SLEEP Mask */
 
-#define CoreDebug_DHCSR_S_HALT_Pos         17                                             /*!< CoreDebug DHCSR: S_HALT Position */
+#define CoreDebug_DHCSR_S_HALT_Pos         17U                                            /*!< CoreDebug DHCSR: S_HALT Position */
 #define CoreDebug_DHCSR_S_HALT_Msk         (1UL << CoreDebug_DHCSR_S_HALT_Pos)            /*!< CoreDebug DHCSR: S_HALT Mask */
 
-#define CoreDebug_DHCSR_S_REGRDY_Pos       16                                             /*!< CoreDebug DHCSR: S_REGRDY Position */
+#define CoreDebug_DHCSR_S_REGRDY_Pos       16U                                            /*!< CoreDebug DHCSR: S_REGRDY Position */
 #define CoreDebug_DHCSR_S_REGRDY_Msk       (1UL << CoreDebug_DHCSR_S_REGRDY_Pos)          /*!< CoreDebug DHCSR: S_REGRDY Mask */
 
-#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5                                             /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
+#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5U                                            /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
 #define CoreDebug_DHCSR_C_SNAPSTALL_Msk    (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos)       /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */
 
-#define CoreDebug_DHCSR_C_MASKINTS_Pos      3                                             /*!< CoreDebug DHCSR: C_MASKINTS Position */
+#define CoreDebug_DHCSR_C_MASKINTS_Pos      3U                                            /*!< CoreDebug DHCSR: C_MASKINTS Position */
 #define CoreDebug_DHCSR_C_MASKINTS_Msk     (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos)        /*!< CoreDebug DHCSR: C_MASKINTS Mask */
 
-#define CoreDebug_DHCSR_C_STEP_Pos          2                                             /*!< CoreDebug DHCSR: C_STEP Position */
+#define CoreDebug_DHCSR_C_STEP_Pos          2U                                            /*!< CoreDebug DHCSR: C_STEP Position */
 #define CoreDebug_DHCSR_C_STEP_Msk         (1UL << CoreDebug_DHCSR_C_STEP_Pos)            /*!< CoreDebug DHCSR: C_STEP Mask */
 
-#define CoreDebug_DHCSR_C_HALT_Pos          1                                             /*!< CoreDebug DHCSR: C_HALT Position */
+#define CoreDebug_DHCSR_C_HALT_Pos          1U                                            /*!< CoreDebug DHCSR: C_HALT Position */
 #define CoreDebug_DHCSR_C_HALT_Msk         (1UL << CoreDebug_DHCSR_C_HALT_Pos)            /*!< CoreDebug DHCSR: C_HALT Mask */
 
-#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0                                             /*!< CoreDebug DHCSR: C_DEBUGEN Position */
+#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0U                                            /*!< CoreDebug DHCSR: C_DEBUGEN Position */
 #define CoreDebug_DHCSR_C_DEBUGEN_Msk      (1UL /*<< CoreDebug_DHCSR_C_DEBUGEN_Pos*/)     /*!< CoreDebug DHCSR: C_DEBUGEN Mask */
 
-/* Debug Core Register Selector Register */
-#define CoreDebug_DCRSR_REGWnR_Pos         16                                             /*!< CoreDebug DCRSR: REGWnR Position */
+/* Debug Core Register Selector Register Definitions */
+#define CoreDebug_DCRSR_REGWnR_Pos         16U                                            /*!< CoreDebug DCRSR: REGWnR Position */
 #define CoreDebug_DCRSR_REGWnR_Msk         (1UL << CoreDebug_DCRSR_REGWnR_Pos)            /*!< CoreDebug DCRSR: REGWnR Mask */
 
-#define CoreDebug_DCRSR_REGSEL_Pos          0                                             /*!< CoreDebug DCRSR: REGSEL Position */
+#define CoreDebug_DCRSR_REGSEL_Pos          0U                                            /*!< CoreDebug DCRSR: REGSEL Position */
 #define CoreDebug_DCRSR_REGSEL_Msk         (0x1FUL /*<< CoreDebug_DCRSR_REGSEL_Pos*/)     /*!< CoreDebug DCRSR: REGSEL Mask */
 
-/* Debug Exception and Monitor Control Register */
-#define CoreDebug_DEMCR_TRCENA_Pos         24                                             /*!< CoreDebug DEMCR: TRCENA Position */
+/* Debug Exception and Monitor Control Register Definitions */
+#define CoreDebug_DEMCR_TRCENA_Pos         24U                                            /*!< CoreDebug DEMCR: TRCENA Position */
 #define CoreDebug_DEMCR_TRCENA_Msk         (1UL << CoreDebug_DEMCR_TRCENA_Pos)            /*!< CoreDebug DEMCR: TRCENA Mask */
 
-#define CoreDebug_DEMCR_MON_REQ_Pos        19                                             /*!< CoreDebug DEMCR: MON_REQ Position */
+#define CoreDebug_DEMCR_MON_REQ_Pos        19U                                            /*!< CoreDebug DEMCR: MON_REQ Position */
 #define CoreDebug_DEMCR_MON_REQ_Msk        (1UL << CoreDebug_DEMCR_MON_REQ_Pos)           /*!< CoreDebug DEMCR: MON_REQ Mask */
 
-#define CoreDebug_DEMCR_MON_STEP_Pos       18                                             /*!< CoreDebug DEMCR: MON_STEP Position */
+#define CoreDebug_DEMCR_MON_STEP_Pos       18U                                            /*!< CoreDebug DEMCR: MON_STEP Position */
 #define CoreDebug_DEMCR_MON_STEP_Msk       (1UL << CoreDebug_DEMCR_MON_STEP_Pos)          /*!< CoreDebug DEMCR: MON_STEP Mask */
 
-#define CoreDebug_DEMCR_MON_PEND_Pos       17                                             /*!< CoreDebug DEMCR: MON_PEND Position */
+#define CoreDebug_DEMCR_MON_PEND_Pos       17U                                            /*!< CoreDebug DEMCR: MON_PEND Position */
 #define CoreDebug_DEMCR_MON_PEND_Msk       (1UL << CoreDebug_DEMCR_MON_PEND_Pos)          /*!< CoreDebug DEMCR: MON_PEND Mask */
 
-#define CoreDebug_DEMCR_MON_EN_Pos         16                                             /*!< CoreDebug DEMCR: MON_EN Position */
+#define CoreDebug_DEMCR_MON_EN_Pos         16U                                            /*!< CoreDebug DEMCR: MON_EN Position */
 #define CoreDebug_DEMCR_MON_EN_Msk         (1UL << CoreDebug_DEMCR_MON_EN_Pos)            /*!< CoreDebug DEMCR: MON_EN Mask */
 
-#define CoreDebug_DEMCR_VC_HARDERR_Pos     10                                             /*!< CoreDebug DEMCR: VC_HARDERR Position */
+#define CoreDebug_DEMCR_VC_HARDERR_Pos     10U                                            /*!< CoreDebug DEMCR: VC_HARDERR Position */
 #define CoreDebug_DEMCR_VC_HARDERR_Msk     (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos)        /*!< CoreDebug DEMCR: VC_HARDERR Mask */
 
-#define CoreDebug_DEMCR_VC_INTERR_Pos       9                                             /*!< CoreDebug DEMCR: VC_INTERR Position */
+#define CoreDebug_DEMCR_VC_INTERR_Pos       9U                                            /*!< CoreDebug DEMCR: VC_INTERR Position */
 #define CoreDebug_DEMCR_VC_INTERR_Msk      (1UL << CoreDebug_DEMCR_VC_INTERR_Pos)         /*!< CoreDebug DEMCR: VC_INTERR Mask */
 
-#define CoreDebug_DEMCR_VC_BUSERR_Pos       8                                             /*!< CoreDebug DEMCR: VC_BUSERR Position */
+#define CoreDebug_DEMCR_VC_BUSERR_Pos       8U                                            /*!< CoreDebug DEMCR: VC_BUSERR Position */
 #define CoreDebug_DEMCR_VC_BUSERR_Msk      (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos)         /*!< CoreDebug DEMCR: VC_BUSERR Mask */
 
-#define CoreDebug_DEMCR_VC_STATERR_Pos      7                                             /*!< CoreDebug DEMCR: VC_STATERR Position */
+#define CoreDebug_DEMCR_VC_STATERR_Pos      7U                                            /*!< CoreDebug DEMCR: VC_STATERR Position */
 #define CoreDebug_DEMCR_VC_STATERR_Msk     (1UL << CoreDebug_DEMCR_VC_STATERR_Pos)        /*!< CoreDebug DEMCR: VC_STATERR Mask */
 
-#define CoreDebug_DEMCR_VC_CHKERR_Pos       6                                             /*!< CoreDebug DEMCR: VC_CHKERR Position */
+#define CoreDebug_DEMCR_VC_CHKERR_Pos       6U                                            /*!< CoreDebug DEMCR: VC_CHKERR Position */
 #define CoreDebug_DEMCR_VC_CHKERR_Msk      (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos)         /*!< CoreDebug DEMCR: VC_CHKERR Mask */
 
-#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5                                             /*!< CoreDebug DEMCR: VC_NOCPERR Position */
+#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5U                                            /*!< CoreDebug DEMCR: VC_NOCPERR Position */
 #define CoreDebug_DEMCR_VC_NOCPERR_Msk     (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos)        /*!< CoreDebug DEMCR: VC_NOCPERR Mask */
 
-#define CoreDebug_DEMCR_VC_MMERR_Pos        4                                             /*!< CoreDebug DEMCR: VC_MMERR Position */
+#define CoreDebug_DEMCR_VC_MMERR_Pos        4U                                            /*!< CoreDebug DEMCR: VC_MMERR Position */
 #define CoreDebug_DEMCR_VC_MMERR_Msk       (1UL << CoreDebug_DEMCR_VC_MMERR_Pos)          /*!< CoreDebug DEMCR: VC_MMERR Mask */
 
-#define CoreDebug_DEMCR_VC_CORERESET_Pos    0                                             /*!< CoreDebug DEMCR: VC_CORERESET Position */
+#define CoreDebug_DEMCR_VC_CORERESET_Pos    0U                                            /*!< CoreDebug DEMCR: VC_CORERESET Position */
 #define CoreDebug_DEMCR_VC_CORERESET_Msk   (1UL /*<< CoreDebug_DEMCR_VC_CORERESET_Pos*/)  /*!< CoreDebug DEMCR: VC_CORERESET Mask */
 
 /*@} end of group CMSIS_CoreDebug */
 
 
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_core_base     Core Definitions
-    \brief      Definitions for base addresses, unions, and structures.
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    (((uint32_t)(value) << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register. This parameter is interpreted as an uint32_t type.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    (((uint32_t)(value) & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
   @{
  */
 
-/* Memory mapping of Cortex-M3 Hardware */
-#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address  */
-#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address                   */
-#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address                   */
-#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address                   */
-#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address            */
-#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address               */
-#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address                  */
-#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address  */
+/* Memory mapping of Core Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address */
+#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address */
+#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address */
+#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
 
 #define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
-#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct           */
-#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct       */
-#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct          */
-#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct           */
-#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct           */
-#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct           */
-#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct    */
-
-#if (__MPU_PRESENT == 1)
-  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit             */
-  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit             */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct */
+#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct */
+#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct */
+#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct */
+
+#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
 #endif
 
 /*@} */
@@ -1307,187 +1395,274 @@ typedef struct
   - Core Debug Functions
   - Core Register Access Functions
  ******************************************************************************/
-/** \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
 */
 
 
 
 /* ##########################   NVIC functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_NVICFunctions NVIC Functions
-    \brief      Functions that manage interrupts and exceptions via the NVIC.
-    @{
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
  */
 
-/** \brief  Set Priority Grouping
+#ifdef CMSIS_NVIC_VIRTUAL
+  #ifndef CMSIS_NVIC_VIRTUAL_HEADER_FILE
+    #define CMSIS_NVIC_VIRTUAL_HEADER_FILE "cmsis_nvic_virtual.h"
+  #endif
+  #include CMSIS_NVIC_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetPriorityGrouping    __NVIC_SetPriorityGrouping
+  #define NVIC_GetPriorityGrouping    __NVIC_GetPriorityGrouping
+  #define NVIC_EnableIRQ              __NVIC_EnableIRQ
+  #define NVIC_GetEnableIRQ           __NVIC_GetEnableIRQ
+  #define NVIC_DisableIRQ             __NVIC_DisableIRQ
+  #define NVIC_GetPendingIRQ          __NVIC_GetPendingIRQ
+  #define NVIC_SetPendingIRQ          __NVIC_SetPendingIRQ
+  #define NVIC_ClearPendingIRQ        __NVIC_ClearPendingIRQ
+  #define NVIC_GetActive              __NVIC_GetActive
+  #define NVIC_SetPriority            __NVIC_SetPriority
+  #define NVIC_GetPriority            __NVIC_GetPriority
+  #define NVIC_SystemReset            __NVIC_SystemReset
+#endif /* CMSIS_NVIC_VIRTUAL */
+
+#ifdef CMSIS_VECTAB_VIRTUAL
+  #ifndef CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+    #define CMSIS_VECTAB_VIRTUAL_HEADER_FILE "cmsis_vectab_virtual.h"
+  #endif
+  #include CMSIS_VECTAB_VIRTUAL_HEADER_FILE
+#else
+  #define NVIC_SetVector              __NVIC_SetVector
+  #define NVIC_GetVector              __NVIC_GetVector
+#endif  /* (CMSIS_VECTAB_VIRTUAL) */
+
+#define NVIC_USER_IRQ_OFFSET          16
 
-  The function sets the priority grouping field using the required unlock sequence.
-  The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
-  Only values from 0..7 are used.
-  In case of a conflict between priority grouping and available
-  priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
 
-    \param [in]      PriorityGroup  Priority grouping field.
+/* The following EXC_RETURN values are saved the LR on exception entry */
+#define EXC_RETURN_HANDLER         (0xFFFFFFF1UL)     /* return to Handler mode, uses MSP after return                               */
+#define EXC_RETURN_THREAD_MSP      (0xFFFFFFF9UL)     /* return to Thread mode, uses MSP after return                                */
+#define EXC_RETURN_THREAD_PSP      (0xFFFFFFFDUL)     /* return to Thread mode, uses PSP after return                                */
+
+
+
+/**
+  \brief   Set Priority Grouping
+  \details Sets the priority grouping field using the required unlock sequence.
+           The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
+           Only values from 0..7 are used.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]      PriorityGroup  Priority grouping field.
  */
-__STATIC_INLINE void NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
+__STATIC_INLINE void __NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
 {
   uint32_t reg_value;
   uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);             /* only values 0..7 are used          */
 
   reg_value  =  SCB->AIRCR;                                                   /* read old register configuration    */
-  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk));             /* clear bits to change               */
+  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk)); /* clear bits to change               */
   reg_value  =  (reg_value                                   |
                 ((uint32_t)0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
-                (PriorityGroupTmp << 8)                       );              /* Insert write key and priorty group */
+                (PriorityGroupTmp << 8U)                      );              /* Insert write key and priorty group */
   SCB->AIRCR =  reg_value;
 }
 
 
-/** \brief  Get Priority Grouping
-
-  The function reads the priority grouping field from the NVIC Interrupt Controller.
-
-    \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
+/**
+  \brief   Get Priority Grouping
+  \details Reads the priority grouping field from the NVIC Interrupt Controller.
+  \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
  */
-__STATIC_INLINE uint32_t NVIC_GetPriorityGrouping(void)
+__STATIC_INLINE uint32_t __NVIC_GetPriorityGrouping(void)
 {
   return ((uint32_t)((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos));
 }
 
 
-/** \brief  Enable External Interrupt
-
-    The function enables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Enable Interrupt
+  \details Enables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_EnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISER[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Disable External Interrupt
-
-    The function disables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Get Interrupt Enable status
+  \details Returns a device specific interrupt enable status from the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt is not enabled.
+  \return             1  Interrupt is enabled.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetEnableIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISER[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Get Pending Interrupt
-
-    The function reads the pending register in the NVIC and returns the pending bit
-    for the specified interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not pending.
-    \return             1  Interrupt status is pending.
+/**
+  \brief   Disable Interrupt
+  \details Disables a device specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_DisableIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICER[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+    __DSB();
+    __ISB();
+  }
 }
 
 
-/** \brief  Set Pending Interrupt
-
-    The function sets the pending bit of an external interrupt.
-
-    \param [in]      IRQn  Interrupt number. Value cannot be negative.
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the NVIC pending register and returns the pending bit for the specified device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->ISPR[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  }
+  else
+  {
+    return(0U);
+  }
 }
 
 
-/** \brief  Clear Pending Interrupt
-
-    The function clears the pending bit of an external interrupt.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_SetPendingIRQ(IRQn_Type IRQn)
 {
-  NVIC->ICPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ISPR[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Get Active Interrupt
-
-    The function reads the active register in NVIC and returns the active bit.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not active.
-    \return             1  Interrupt status is active.
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of a device specific interrupt in the NVIC pending register.
+  \param [in]      IRQn  Device specific interrupt number.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE uint32_t NVIC_GetActive(IRQn_Type IRQn)
+__STATIC_INLINE void __NVIC_ClearPendingIRQ(IRQn_Type IRQn)
 {
-  return((uint32_t)(((NVIC->IABR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->ICPR[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL));
+  }
 }
 
 
-/** \brief  Set Interrupt Priority
-
-    The function sets the priority of an interrupt.
-
-    \note The priority cannot be set for every core interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-    \param [in]  priority  Priority to set.
+/**
+  \brief   Get Active Interrupt
+  \details Reads the active register in the NVIC and returns the active bit for the device specific interrupt.
+  \param [in]      IRQn  Device specific interrupt number.
+  \return             0  Interrupt status is not active.
+  \return             1  Interrupt status is active.
+  \note    IRQn must not be negative.
  */
-__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+__STATIC_INLINE uint32_t __NVIC_GetActive(IRQn_Type IRQn)
 {
-  if((int32_t)IRQn < 0) {
-    SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return((uint32_t)(((NVIC->IABR[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
   }
-  else {
-    NVIC->IP[((uint32_t)(int32_t)IRQn)]               = (uint8_t)((priority << (8 - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  else
+  {
+    return(0U);
   }
 }
 
 
-/** \brief  Get Interrupt Priority
-
-    The function reads the priority of an interrupt. The interrupt
-    number can be positive to specify an external (device specific)
-    interrupt, or negative to specify an internal (core) interrupt.
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+  \note    The priority cannot be set for every processor exception.
+ */
+__STATIC_INLINE void __NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) >= 0)
+  {
+    NVIC->IP[((uint32_t)IRQn)]               = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+  else
+  {
+    SCB->SHP[(((uint32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+}
 
 
-    \param [in]   IRQn  Interrupt number.
-    \return             Interrupt Priority. Value is aligned automatically to the implemented
-                        priority bits of the microcontroller.
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of a device specific interrupt or a processor exception.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
  */
-__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+__STATIC_INLINE uint32_t __NVIC_GetPriority(IRQn_Type IRQn)
 {
 
-  if((int32_t)IRQn < 0) {
-    return(((uint32_t)SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] >> (8 - __NVIC_PRIO_BITS)));
+  if ((int32_t)(IRQn) >= 0)
+  {
+    return(((uint32_t)NVIC->IP[((uint32_t)IRQn)]               >> (8U - __NVIC_PRIO_BITS)));
   }
-  else {
-    return(((uint32_t)NVIC->IP[((uint32_t)(int32_t)IRQn)]               >> (8 - __NVIC_PRIO_BITS)));
+  else
+  {
+    return(((uint32_t)SCB->SHP[(((uint32_t)IRQn) & 0xFUL)-4UL] >> (8U - __NVIC_PRIO_BITS)));
   }
 }
 
 
-/** \brief  Encode Priority
-
-    The function encodes the priority for an interrupt with the given priority group,
-    preemptive priority value, and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
-
-    \param [in]     PriorityGroup  Used priority group.
-    \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
-    \param [in]       SubPriority  Subpriority value (starting from 0).
-    \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
+/**
+  \brief   Encode Priority
+  \details Encodes the priority for an interrupt with the given priority group,
+           preemptive priority value, and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]     PriorityGroup  Used priority group.
+  \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
+  \param [in]       SubPriority  Subpriority value (starting from 0).
+  \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
  */
 __STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
 {
@@ -1505,19 +1680,18 @@ __STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t P
 }
 
 
-/** \brief  Decode Priority
-
-    The function decodes an interrupt priority value with a given priority group to
-    preemptive priority value and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
-
-    \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
-    \param [in]     PriorityGroup  Used priority group.
-    \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
-    \param [out]     pSubPriority  Subpriority value (starting from 0).
+/**
+  \brief   Decode Priority
+  \details Decodes an interrupt priority value with a given priority group to
+           preemptive priority value and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
+  \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
+  \param [in]     PriorityGroup  Used priority group.
+  \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
+  \param [out]     pSubPriority  Subpriority value (starting from 0).
  */
-__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* pPreemptPriority, uint32_t* pSubPriority)
+__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority)
 {
   uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
   uint32_t PreemptPriorityBits;
@@ -1531,11 +1705,42 @@ __STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGr
 }
 
 
-/** \brief  System Reset
+/**
+  \brief   Set Interrupt Vector
+  \details Sets an interrupt vector in SRAM based interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+           VTOR must been relocated to SRAM before.
+  \param [in]   IRQn      Interrupt number
+  \param [in]   vector    Address of interrupt handler function
+ */
+__STATIC_INLINE void __NVIC_SetVector(IRQn_Type IRQn, uint32_t vector)
+{
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+  vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET] = vector;
+}
 
-    The function initiates a system reset request to reset the MCU.
+
+/**
+  \brief   Get Interrupt Vector
+  \details Reads an interrupt vector from interrupt vector table.
+           The interrupt number can be positive to specify a device specific interrupt,
+           or negative to specify a processor exception.
+  \param [in]   IRQn      Interrupt number.
+  \return                 Address of interrupt handler function
  */
-__STATIC_INLINE void NVIC_SystemReset(void)
+__STATIC_INLINE uint32_t __NVIC_GetVector(IRQn_Type IRQn)
+{
+  uint32_t *vectors = (uint32_t *)SCB->VTOR;
+  return vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET];
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__NO_RETURN __STATIC_INLINE void __NVIC_SystemReset(void)
 {
   __DSB();                                                          /* Ensure all outstanding memory accesses included
                                                                        buffered write are completed before reset */
@@ -1543,40 +1748,69 @@ __STATIC_INLINE void NVIC_SystemReset(void)
                            (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) |
                             SCB_AIRCR_SYSRESETREQ_Msk    );         /* Keep priority group unchanged */
   __DSB();                                                          /* Ensure completion of memory access */
-  while(1) { __NOP(); }                                             /* wait until reset */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
 }
 
 /*@} end of CMSIS_Core_NVICFunctions */
 
 
-
-/* ##################################    SysTick function  ############################################ */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
-    \brief      Functions that configure the System.
+/* ##########################  FPU functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_FpuFunctions FPU Functions
+  \brief    Function that provides FPU type.
   @{
  */
 
-#if (__Vendor_SysTickConfig == 0)
+/**
+  \brief   get FPU type
+  \details returns the FPU type
+  \returns
+   - \b  0: No FPU
+   - \b  1: Single precision FPU
+   - \b  2: Double + Single precision FPU
+ */
+__STATIC_INLINE uint32_t SCB_GetFPUType(void)
+{
+    return 0U;           /* No FPU */
+}
+
 
-/** \brief  System Tick Configuration
+/*@} end of CMSIS_Core_FpuFunctions */
 
-    The function initializes the System Timer and its interrupt, and starts the System Tick Timer.
-    Counter is in free running mode to generate periodic interrupts.
 
-    \param [in]  ticks  Number of ticks between two interrupts.
 
-    \return          0  Function succeeded.
-    \return          1  Function failed.
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
 
-    \note     When the variable __Vendor_SysTickConfig is set to 1, then the
-    function SysTick_Config is not included. In this case, the file device.h
-    must contain a vendor-specific implementation of this function.
+#if defined (__Vendor_SysTickConfig) && (__Vendor_SysTickConfig == 0U)
 
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable __Vendor_SysTickConfig is set to 1, then the
+           function SysTick_Config is not included. In this case, the file device.h
+           must contain a vendor-specific implementation of this function.
  */
 __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 {
-  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk) { return (1UL); }    /* Reload value impossible */
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
 
   SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
   NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
@@ -1594,49 +1828,52 @@ __STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
 
 
 /* ##################################### Debug In/Output function ########################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_core_DebugFunctions ITM Functions
-    \brief   Functions that access the ITM debug interface.
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_core_DebugFunctions ITM Functions
+  \brief    Functions that access the ITM debug interface.
   @{
  */
 
-extern volatile int32_t ITM_RxBuffer;                    /*!< External variable to receive characters.                         */
-#define                 ITM_RXBUFFER_EMPTY    0x5AA55AA5 /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
-
-
-/** \brief  ITM Send Character
-
-    The function transmits a character via the ITM channel 0, and
-    \li Just returns when no debugger is connected that has booked the output.
-    \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
+extern volatile int32_t ITM_RxBuffer;                              /*!< External variable to receive characters. */
+#define                 ITM_RXBUFFER_EMPTY  ((int32_t)0x5AA55AA5U) /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
 
-    \param [in]     ch  Character to transmit.
 
-    \returns            Character to transmit.
+/**
+  \brief   ITM Send Character
+  \details Transmits a character via the ITM channel 0, and
+           \li Just returns when no debugger is connected that has booked the output.
+           \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
+  \param [in]     ch  Character to transmit.
+  \returns            Character to transmit.
  */
 __STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch)
 {
   if (((ITM->TCR & ITM_TCR_ITMENA_Msk) != 0UL) &&      /* ITM enabled */
       ((ITM->TER & 1UL               ) != 0UL)   )     /* ITM Port #0 enabled */
   {
-    while (ITM->PORT[0].u32 == 0UL) { __NOP(); }
-    ITM->PORT[0].u8 = (uint8_t)ch;
+    while (ITM->PORT[0U].u32 == 0UL)
+    {
+      __NOP();
+    }
+    ITM->PORT[0U].u8 = (uint8_t)ch;
   }
   return (ch);
 }
 
 
-/** \brief  ITM Receive Character
-
-    The function inputs a character via the external variable \ref ITM_RxBuffer.
-
-    \return             Received character.
-    \return         -1  No character pending.
+/**
+  \brief   ITM Receive Character
+  \details Inputs a character via the external variable \ref ITM_RxBuffer.
+  \return             Received character.
+  \return         -1  No character pending.
  */
-__STATIC_INLINE int32_t ITM_ReceiveChar (void) {
+__STATIC_INLINE int32_t ITM_ReceiveChar (void)
+{
   int32_t ch = -1;                           /* no character available */
 
-  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY) {
+  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY)
+  {
     ch = ITM_RxBuffer;
     ITM_RxBuffer = ITM_RXBUFFER_EMPTY;       /* ready for next character */
   }
@@ -1645,19 +1882,22 @@ __STATIC_INLINE int32_t ITM_ReceiveChar (void) {
 }
 
 
-/** \brief  ITM Check Character
-
-    The function checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
-
-    \return          0  No character available.
-    \return          1  Character available.
+/**
+  \brief   ITM Check Character
+  \details Checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
+  \return          0  No character available.
+  \return          1  Character available.
  */
-__STATIC_INLINE int32_t ITM_CheckChar (void) {
+__STATIC_INLINE int32_t ITM_CheckChar (void)
+{
 
-  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY) {
-    return (0);                                 /* no character available */
-  } else {
-    return (1);                                 /*    character available */
+  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY)
+  {
+    return (0);                              /* no character available */
+  }
+  else
+  {
+    return (1);                              /*    character available */
   }
 }
 
diff --git a/STM32CubeMX/2020c/Drivers/CMSIS/Lib/ARM/arm_cortexM3b_math.lib b/STM32CubeMX/2020c/Drivers/CMSIS/Lib/ARM/arm_cortexM3b_math.lib
index 3db65b8e2c685021ec4dd81d8149c60b65d4cd7b..1a8f571b71f0356199a032fa1e9f0453a07b13e1 100644
GIT binary patch
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