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NeoZng 2022-10-20 17:13:02 +08:00
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.gitignore vendored Normal file
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# Prerequisites
*.d
# Object files
*.o
*.ko
*.obj
*.elf
# Linker output
*.ilk
*.map
*.exp
# Precompiled Headers
*.gch
*.pch
# Libraries
*.la
*.lo
# Shared objects (inc. Windows DLLs)
*.dll
*.so
*.so.*
*.dylib
# Executables
*.exe
*.out
*.app
*.i*86
*.x86_64
# Debug files
*.dSYM/
*.su
*.idb
*.pdb
# Kernel Module Compile Results
*.mod*
*.cmd
.tmp_versions/
modules.order
Module.symvers
Mkfile.old
dkms.conf
build
./idea

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.vscode/.cortex-debug.peripherals.state.json vendored Normal file
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[]

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.vscode/.cortex-debug.registers.state.json vendored Normal file
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[]

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{
"version": "0.2.0",
"configurations": [
{
"name": "Cortex Debug",
"cwd": "${workspaceRoot}",
"executable": "${workspaceRoot}\\build\\abstract_test.elf",
"request": "launch",
"type": "cortex-debug",
"device":"STM32F407IG", //使用J-link GDB Server时必须；其他GBD Server时可选（有可能帮助自动选择SVD文件）。支持的设备见 https://www.segger.com/downloads/supported-devices.php
"svdFile": ".\\STM32F407.svd", //svd文件，有这个文件才能查看寄存器的值，每个单片机都不同。可以在以下地址找到 https://github.com/posborne/cmsis-svd
"servertype": "openocd", //使用的GDB Server
"configFiles":[
".\\openocd.cfg",
],
// path to your gcc-arm-none-eabi/bin
"armToolchainPath": "D:\\gcc-arm-none-eabi\\bin",
// path to your gcc-arm-none-eabi/arm-none-eabi-gdb.exe
"gdbPath": "D:\\gcc-arm-none-eabi\\bin\\arm-none-eabi-gdb.exe"
}
]
}

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{
"C_Cpp.default.configurationProvider": "ms-vscode.makefile-tools",
"files.associations": {
"arm_math.h": "c",
"task.h": "c",
"main.h": "c",
"cmsis_os.h": "c",
"freertos.h": "c",
"bmi088driver.h": "c",
"user_lib.h": "c",
"mpu_armv7.h": "c",
"stm32f4xx_hal.h": "c",
"stm32f4xx_hal_conf.h": "c",
"stm32_hal_legacy.h": "c",
"stm32f4xx.h": "c",
"cstdint": "c",
"tim.h": "c",
"struct_typedef.h": "c",
"bsp_can.h": "c",
"stdint.h": "c",
"bsp_temperature.h": "c",
"bsp_rc.h": "c",
"remote_control.h": "c",
"bsp_usart.h": "c",
"led_task.h": "c",
"can_receive.h": "c",
"can_process.h": "c",
"can.h": "c",
"stdlib.h": "c"
}
}

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Drivers/CMSIS/DSP/Include/arm_common_tables.h Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_common_tables.h
* Description: Extern declaration for common tables
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 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 ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800)
#define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808)
#define ARMBITREVINDEXTABLE_4096_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[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH];
extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH];
extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_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 */

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_const_structs.h
* Description: Constant structs that are initialized for user convenience.
* For example, some can be given as arguments to the arm_cfft_f32() function.
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_abs_f32.c
* Description: Floating-point vector absolute value
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#include "arm_math.h"
#include <math.h>
/**
* @ingroup groupMath
*/
/**
* @defgroup BasicAbs Vector Absolute Value
*
* Computes the absolute value of a vector on an element-by-element basis.
*
* <pre>
* pDst[n] = abs(pSrc[n]), 0 <= n < blockSize.
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_abs_q15.c
* Description: Q15 vector absolute value
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
__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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BasicAbs group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_abs_q31.c
* Description: Q31 vector absolute value
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

145
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_abs_q7.c
* Description: Q7 vector absolute value
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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
*/

138
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_add_f32.c
* Description: Floating-point vector addition
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#include "arm_math.h"
/**
* @ingroup groupMath
*/
/**
* @defgroup BasicAdd Vector Addition
*
* Element-by-element addition of two vectors.
*
* <pre>
* pDst[n] = pSrcA[n] + pSrcB[n], 0 <= n < blockSize.
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

128
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_add_q15.c
* Description: Q15 vector addition
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BasicAdd group
*/

136
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_add_q31.c
* Description: Q31 vector addition
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BasicAdd group
*/

122
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_add_q7.c
* Description: Q7 vector addition
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BasicAdd group
*/

123
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_dot_prod_f32.c
* Description: Floating-point dot product
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <pre>
* sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1]
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

128
Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_dot_prod_q15.c
* Description: Q15 dot product
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
/* Store the result in the destination buffer in 34.30 format */
*result = sum;
}
/**
* @} end of dot_prod group
*/

131
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_dot_prod_q31.c
* Description: Q31 dot product
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

147
Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_dot_prod_q7.c
* Description: Q7 dot product
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
/* Store the result in the destination buffer in 18.14 format */
*result = sum;
}
/**
* @} end of dot_prod group
*/

162
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mult_f32.c
* Description: Floating-point vector multiplication
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#include "arm_math.h"
/**
* @ingroup groupMath
*/
/**
* @defgroup BasicMult Vector Multiplication
*
* Element-by-element multiplication of two vectors.
*
* <pre>
* pDst[n] = pSrcA[n] * pSrcB[n], 0 <= n < blockSize.
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

142
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mult_q15.c
* Description: Q15 vector multiplication
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

148
Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mult_q31.c
* Description: Q31 vector multiplication
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BasicMult group
*/

115
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mult_q7.c
* Description: Q7 vector multiplication
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

134
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_negate_f32.c
* Description: Negates floating-point vectors
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#include "arm_math.h"
/**
* @ingroup groupMath
*/
/**
* @defgroup negate Vector Negate
*
* Negates the elements of a vector.
*
* <pre>
* pDst[n] = -pSrc[n], 0 <= n < blockSize.
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

131
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_negate_q15.c
* Description: Negates Q15 vectors
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
*
* <b>Scaling and Overflow Behavior:</b>
* \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;
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

117
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_negate_q31.c
* Description: Negates Q31 vectors
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

113
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_negate_q7.c
* Description: Negates Q7 vectors
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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;
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

154
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_offset_f32.c
* Description: Floating-point vector offset
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#include "arm_math.h"
/**
* @ingroup groupMath
*/
/**
* @defgroup offset Vector Offset
*
* Adds a constant offset to each element of a vector.
*
* <pre>
* pDst[n] = pSrc[n] + offset, 0 <= n < blockSize.
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

124
Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_offset_q15.c
* Description: Q15 vector offset
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of offset group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_offset_q31.c
* Description: Q31 vector offset
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of offset group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_offset_q7.c
* Description: Q7 vector offset
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of offset group
*/

157
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_scale_f32.c
* Description: Multiplies a floating-point vector by a scalar
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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:
*
* <pre>
* pDst[n] = pSrc[n] * scale, 0 <= n < blockSize.
* </pre>
*
* In the fixed-point Q7, Q15, and Q31 functions, <code>scale</code> is represented by
* a fractional multiplication <code>scaleFract</code> and an arithmetic shift <code>shift</code>.
* The shift allows the gain of the scaling operation to exceed 1.0.
* The algorithm used with fixed-point data is:
*
* <pre>
* pDst[n] = (pSrc[n] * scaleFract) << shift, 0 <= n < blockSize.
* </pre>
*
* The overall scale factor applied to the fixed-point data is
* <pre>
* scale = scaleFract * 2^shift.
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

150
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_scale_q15.c
* Description: Multiplies a Q15 vector by a scalar
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \par
* The input data <code>*pSrc</code> and <code>scaleFract</code> 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of scale group
*/

227
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_scale_q31.c
* Description: Multiplies a Q31 vector by a scalar
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \par
* The input data <code>*pSrc</code> and <code>scaleFract</code> 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;
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_scale_q7.c
* Description: Multiplies a Q7 vector by a scalar
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \par
* The input data <code>*pSrc</code> and <code>scaleFract</code> 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of scale group
*/

236
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_shift_q15.c
* Description: Shifts the elements of a Q15 vector by a specified number of bits
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of shift group
*/

191
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_shift_q31.c
* Description: Shifts the elements of a Q31 vector by a specified number of bits
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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:
*
* <pre>
* pDst[n] = pSrc[n] << shift, 0 <= n < blockSize.
* </pre>
*
* If <code>shift</code> is positive then the elements of the vector are shifted to the left.
* If <code>shift</code> 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.
*
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
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 /* #if defined (ARM_MATH_DSP) */
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
*/

208
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_shift_q7.c
* Description: Processing function for the Q7 Shifting
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of shift group
*/

138
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sub_f32.c
* Description: Floating-point vector subtraction.
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#include "arm_math.h"
/**
* @ingroup groupMath
*/
/**
* @defgroup BasicSub Vector Subtraction
*
* Element-by-element subtraction of two vectors.
*
* <pre>
* pDst[n] = pSrcA[n] - pSrcB[n], 0 <= n < blockSize.
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

128
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sub_q15.c
* Description: Q15 vector subtraction
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BasicSub group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sub_q31.c
* Description: Q31 vector subtraction
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BasicSub group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sub_q7.c
* Description: Q7 vector subtraction
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BasicSub group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_const_structs.c
* Description: Constant structs that are initialized for user convenience.
* For example, some can be given as arguments to the arm_cfft_f32() or arm_rfft_f32() functions.
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH
};
const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = {
2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH
};
const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = {
4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE_4096_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
};
/* Structure for real-value inputs */
/* Floating-point structs */
const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len32 = {
{ 16, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_16_TABLE_LENGTH },
32U,
(float32_t *)twiddleCoef_rfft_32
};
const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len64 = {
{ 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH },
64U,
(float32_t *)twiddleCoef_rfft_64
};
const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len128 = {
{ 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH },
128U,
(float32_t *)twiddleCoef_rfft_128
};
const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len256 = {
{ 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH },
256U,
(float32_t *)twiddleCoef_rfft_256
};
const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len512 = {
{ 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH },
512U,
(float32_t *)twiddleCoef_rfft_512
};
const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len1024 = {
{ 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH },
1024U,
(float32_t *)twiddleCoef_rfft_1024
};
const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len2048 = {
{ 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH },
2048U,
(float32_t *)twiddleCoef_rfft_2048
};
const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len4096 = {
{ 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH },
4096U,
(float32_t *)twiddleCoef_rfft_4096
};
/* Fixed-point structs */
/* q31_t */
extern const q31_t realCoefAQ31[8192];
extern const q31_t realCoefBQ31[8192];
const arm_rfft_instance_q31 arm_rfft_sR_q31_len32 = {
32U,
0,
1,
256U,
(q31_t*)realCoefAQ31,
(q31_t*)realCoefBQ31,
&arm_cfft_sR_q31_len16
};
const arm_rfft_instance_q31 arm_rfft_sR_q31_len64 = {
64U,
0,
1,
128U,
(q31_t*)realCoefAQ31,
(q31_t*)realCoefBQ31,
&arm_cfft_sR_q31_len32
};
const arm_rfft_instance_q31 arm_rfft_sR_q31_len128 = {
128U,
0,
1,
64U,
(q31_t*)realCoefAQ31,
(q31_t*)realCoefBQ31,
&arm_cfft_sR_q31_len64
};
const arm_rfft_instance_q31 arm_rfft_sR_q31_len256 = {
256U,
0,
1,
32U,
(q31_t*)realCoefAQ31,
(q31_t*)realCoefBQ31,
&arm_cfft_sR_q31_len128
};
const arm_rfft_instance_q31 arm_rfft_sR_q31_len512 = {
512U,
0,
1,
16U,
(q31_t*)realCoefAQ31,
(q31_t*)realCoefBQ31,
&arm_cfft_sR_q31_len256
};
const arm_rfft_instance_q31 arm_rfft_sR_q31_len1024 = {
1024U,
0,
1,
8U,
(q31_t*)realCoefAQ31,
(q31_t*)realCoefBQ31,
&arm_cfft_sR_q31_len512
};
const arm_rfft_instance_q31 arm_rfft_sR_q31_len2048 = {
2048U,
0,
1,
4U,
(q31_t*)realCoefAQ31,
(q31_t*)realCoefBQ31,
&arm_cfft_sR_q31_len1024
};
const arm_rfft_instance_q31 arm_rfft_sR_q31_len4096 = {
4096U,
0,
1,
2U,
(q31_t*)realCoefAQ31,
(q31_t*)realCoefBQ31,
&arm_cfft_sR_q31_len2048
};
const arm_rfft_instance_q31 arm_rfft_sR_q31_len8192 = {
8192U,
0,
1,
1U,
(q31_t*)realCoefAQ31,
(q31_t*)realCoefBQ31,
&arm_cfft_sR_q31_len4096
};
/* q15_t */
extern const q15_t realCoefAQ15[8192];
extern const q15_t realCoefBQ15[8192];
const arm_rfft_instance_q15 arm_rfft_sR_q15_len32 = {
32U,
0,
1,
256U,
(q15_t*)realCoefAQ15,
(q15_t*)realCoefBQ15,
&arm_cfft_sR_q15_len16
};
const arm_rfft_instance_q15 arm_rfft_sR_q15_len64 = {
64U,
0,
1,
128U,
(q15_t*)realCoefAQ15,
(q15_t*)realCoefBQ15,
&arm_cfft_sR_q15_len32
};
const arm_rfft_instance_q15 arm_rfft_sR_q15_len128 = {
128U,
0,
1,
64U,
(q15_t*)realCoefAQ15,
(q15_t*)realCoefBQ15,
&arm_cfft_sR_q15_len64
};
const arm_rfft_instance_q15 arm_rfft_sR_q15_len256 = {
256U,
0,
1,
32U,
(q15_t*)realCoefAQ15,
(q15_t*)realCoefBQ15,
&arm_cfft_sR_q15_len128
};
const arm_rfft_instance_q15 arm_rfft_sR_q15_len512 = {
512U,
0,
1,
16U,
(q15_t*)realCoefAQ15,
(q15_t*)realCoefBQ15,
&arm_cfft_sR_q15_len256
};
const arm_rfft_instance_q15 arm_rfft_sR_q15_len1024 = {
1024U,
0,
1,
8U,
(q15_t*)realCoefAQ15,
(q15_t*)realCoefBQ15,
&arm_cfft_sR_q15_len512
};
const arm_rfft_instance_q15 arm_rfft_sR_q15_len2048 = {
2048U,
0,
1,
4U,
(q15_t*)realCoefAQ15,
(q15_t*)realCoefBQ15,
&arm_cfft_sR_q15_len1024
};
const arm_rfft_instance_q15 arm_rfft_sR_q15_len4096 = {
4096U,
0,
1,
2U,
(q15_t*)realCoefAQ15,
(q15_t*)realCoefBQ15,
&arm_cfft_sR_q15_len2048
};
const arm_rfft_instance_q15 arm_rfft_sR_q15_len8192 = {
8192U,
0,
1,
1U,
(q15_t*)realCoefAQ15,
(q15_t*)realCoefBQ15,
&arm_cfft_sR_q15_len4096
};

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_conj_f32.c
* Description: Floating-point complex conjugate
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#include "arm_math.h"
/**
* @ingroup groupCmplxMath
*/
/**
* @defgroup cmplx_conj Complex Conjugate
*
* Conjugates the elements of a complex data vector.
*
* The <code>pSrc</code> points to the source data and
* <code>pDst</code> points to the where the result should be written.
* <code>numSamples</code> 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 <code>2*numSamples</code> values.
* The underlying algorithm is used:
*
* <pre>
* for(n=0; n<numSamples; n++) {
* pDst[(2*n)+0)] = pSrc[(2*n)+0]; // real part
* pDst[(2*n)+1)] = -pSrc[(2*n)+1]; // imag part
* }
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

149
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_conj_q15.c
* Description: Q15 complex conjugate
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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)
{
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of cmplx_conj group
*/

169
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_conj_q31.c
* Description: Q31 complex conjugate
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

191
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_dot_prod_f32.c
* Description: Floating-point complex dot product
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>pSrcA</code> points to the first complex input vector and
* <code>pSrcB</code> points to the second complex input vector.
* <code>numSamples</code> 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 <code>2*numSamples</code> values.
*
* The underlying algorithm is used:
* <pre>
* realResult=0;
* imagResult=0;
* for(n=0; n<numSamples; n++) {
* realResult += pSrcA[(2*n)+0]*pSrcB[(2*n)+0] - pSrcA[(2*n)+1]*pSrcB[(2*n)+1];
* imagResult += pSrcA[(2*n)+0]*pSrcB[(2*n)+1] + pSrcA[(2*n)+1]*pSrcB[(2*n)+0];
* }
* </pre>
*
* 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;
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
/* Store the real and imaginary results in the destination buffers */
*realResult = real_sum;
*imagResult = imag_sum;
}
/**
* @} end of cmplx_dot_prod group
*/

177
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_dot_prod_q15.c
* Description: Processing function for the Q15 Complex Dot product
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 <code>realResult</code> and <code>imagResult</code> 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;
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
/* 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
*/

175
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_dot_prod_q31.c
* Description: Q31 complex dot product
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 <code>numSamples</code> is less than 32768.
* The return results <code>realResult</code> and <code>imagResult</code> 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;
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
/* Store the real and imaginary results in 16.48 format */
*realResult = real_sum;
*imagResult = imag_sum;
}
/**
* @} end of cmplx_dot_prod group
*/

153
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mag_f32.c
* Description: Floating-point complex magnitude
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#include "arm_math.h"
/**
* @ingroup groupCmplxMath
*/
/**
* @defgroup cmplx_mag Complex Magnitude
*
* Computes the magnitude of the elements of a complex data vector.
*
* The <code>pSrc</code> points to the source data and
* <code>pDst</code> points to the where the result should be written.
* <code>numSamples</code> 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 <code>2*numSamples</code> values;
* the output array has a total of <code>numSamples</code> values.
* The underlying algorithm is used:
*
* <pre>
* for(n=0; n<numSamples; n++) {
* pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
* }
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of cmplx_mag group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mag_q15.c
* Description: Q15 complex magnitude
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of cmplx_mag group
*/

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Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mag_q31.c
* Description: Q31 complex magnitude
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

204
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mag_squared_f32.c
* Description: Floating-point complex magnitude squared
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>pSrc</code> points to the source data and
* <code>pDst</code> points to the where the result should be written.
* <code>numSamples</code> 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 <code>2*numSamples</code> values;
* the output array has a total of <code>numSamples</code> values.
*
* The underlying algorithm is used:
*
* <pre>
* for(n=0; n<numSamples; n++) {
* pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;
* }
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
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 /* #if defined (ARM_MATH_DSP) */
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
*/

136
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mag_squared_q15.c
* Description: Q15 complex magnitude squared
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of cmplx_mag_squared group
*/

149
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mag_squared_q31.c
* Description: Q31 complex magnitude squared
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of cmplx_mag_squared group
*/

196
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mult_cmplx_f32.c
* Description: Floating-point complex-by-complex multiplication
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>numSamples</code> represents the number of complex
* samples processed. The complex arrays have a total of <code>2*numSamples</code>
* real values.
*
* The underlying algorithm is used:
*
* <pre>
* for(n=0; n<numSamples; n++) {
* pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
* pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
* }
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

181
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mult_cmplx_q15.c
* Description: Q15 complex-by-complex multiplication
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of CmplxByCmplxMult group
*/

314
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mult_cmplx_q31.c
* Description: Q31 complex-by-complex multiplication
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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;
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of CmplxByCmplxMult group
*/

213
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mult_real_f32.c
* Description: Floating-point complex by real multiplication
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>numSamples</code> represents the number of complex
* samples processed. The complex arrays have a total of <code>2*numSamples</code>
* real values while the real array has a total of <code>numSamples</code>
* real values.
*
* The underlying algorithm is used:
*
* <pre>
* for(n=0; n<numSamples; n++) {
* pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];
* pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];
* }
* </pre>
*
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
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
*/

191
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mult_real_q15.c
* Description: Q15 complex by real multiplication
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of CmplxByRealMult group
*/

211
Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cmplx_mult_real_q31.c
* Description: Q31 complex by real multiplication
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of CmplxByRealMult group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_pid_init_f32.c
* Description: Floating-point PID Control initialization function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>resetStateFlag</code> specifies whether to set state to zero or not. \n
* The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code>
* 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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_pid_init_q15.c
* Description: Q15 PID Control initialization function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>resetStateFlag</code> specifies whether to set state to zero or not. \n
* The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code>
* 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)
{
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of PID group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_pid_init_q31.c
* Description: Q31 PID Control initialization function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>resetStateFlag</code> specifies whether to set state to zero or not. \n
* The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code>
* 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)
{
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
/* 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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_pid_reset_f32.c
* Description: Floating-point PID Control reset function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_pid_reset_q15.c
* Description: Q15 PID Control reset function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_pid_reset_q31.c
* Description: Q31 PID Control reset function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sin_cos_f32.c
* Description: Sine and Cosine calculation for floating-point values
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 result is accurate to 5 digits after the decimal point.
*
* 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 <code> *psinVal = y0 + (fract * (y1 - y0))</code>.
* -# 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 <code> *pcosVal = y0 + (fract * (y1 - y0))</code>.
*/
/**
* @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 */
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;
if (in < 0.0f)
{
in = -in;
}
in = in - (int32_t)in;
/* 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];
temp = (1.0f - fract) * f1 + fract * f2;
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];
temp = (1.0f - fract) * f1 + fract * f2;
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;
if (theta < 0.0f)
{
*pSinVal = -*pSinVal;
}
}
/**
* @} end of SinCos group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sin_cos_q31.c
* Description: Cosine & Sine calculation for Q31 values
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cos_f32.c
* Description: Fast cosine calculation for floating-point values
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 linear interpolation. There are separate functions for
* Q15, Q31, and floating-point data types.
* The input to the floating-point version is in radians and in the range [0 2*pi) 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 linear interpolation.
* The steps used are:
* -# Calculation of the nearest integer table index
* -# Compute the fractional portion (fract) of the table index.
* -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
*
* where
* <pre>
* b=Table[index+0];
* c=Table[index+1];
* </pre>
*/
/**
* @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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cos_q15.c
* Description: Fast cosine calculation for Q15 values
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 cosVal; /* 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 = (uint16_t)x + 0x2000;
if (x < 0)
{ /* convert negative numbers to corresponding positive ones */
x = (uint16_t)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 */
cosVal = (q31_t)(0x8000-fract)*a >> 16;
cosVal = (q15_t)((((q31_t)cosVal << 16) + ((q31_t)fract*b)) >> 16);
return cosVal << 1;
}
/**
* @} end of cos group
*/

84
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cos_q31.c
* Description: Fast cosine calculation for Q31 values
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 = (uint32_t)x + 0x20000000;
if (x < 0)
{ /* convert negative numbers to corresponding positive ones */
x = (uint32_t)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
*/

123
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sin_f32.c
* Description: Fast sine calculation for floating-point values
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#include "arm_math.h"
#include "arm_common_tables.h"
#include <math.h>
/**
* @ingroup groupFastMath
*/
/**
* @defgroup sin Sine
*
* Computes the trigonometric sine function using a combination of table lookup
* and linear interpolation. There are separate functions for
* Q15, Q31, and floating-point data types.
* The input to the floating-point version is in radians and in the range [0 2*pi) 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 linear interpolation.
* The steps used are:
* -# Calculation of the nearest integer table index
* -# Compute the fractional portion (fract) of the table index.
* -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
*
* where
* <pre>
* b=Table[index+0];
* c=Table[index+1];
* </pre>
*/
/**
* @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;
/* Special case for small negative inputs */
if ((x < 0.0f) && (x >= -1.9e-7f)) {
return x;
}
/* 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
*/

76
Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sin_q15.c
* Description: Fast sine calculation for Q15 values
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*/

75
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sin_q31.c
* Description: Fast sine calculation for Q31 values
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*/

144
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sqrt_q15.c
* Description: Q15 square root function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_sqrt_q31.c
* Description: Q31 square root function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df1_32x64_init_q31.c
* Description: High precision Q31 Biquad cascade filter initialization function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
* <b>Coefficient and State Ordering:</b>
*
* \par
* The coefficients are stored in the array <code>pCoeffs</code> in the following order:
* <pre>
* {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
* </pre>
* where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
* <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
* and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
*
* \par
* The <code>pState</code> points to state variables array and size of each state variable is 1.63 format.
* Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.
* The state variables are arranged in the state array as:
* <pre>
* {x[n-1], x[n-2], y[n-1], y[n-2]}
* </pre>
* 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 <code>4*numStages</code> 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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df1_32x64_q31.c
* Description: High precision Q31 Biquad cascade filter processing function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>blockSize</code> samples through
* the filter. <code>pSrc</code> and <code>pDst</code> points to input and output arrays
* containing <code>blockSize</code> Q31 values.
*
* \par Algorithm
* Each Biquad stage implements a second order filter using the difference equation:
* <pre>
* y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
* </pre>
* 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 <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.
* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> 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
* <pre>
* y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]
* </pre>
* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.
*
* \par
* Higher order filters are realized as a cascade of second order sections.
* <code>numStages</code> refers to the number of second order stages used.
* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.
* \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"
* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).
*
* \par
* The <code>pState</code> points to state variables array .
* Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code> and each state variable in 1.63 format to improve precision.
* The state variables are arranged in the array as:
* <pre>
* {x[n-1], x[n-2], y[n-1], y[n-2]}
* </pre>
*
* \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 <code>4*numStages</code> 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
* <pre>
* arm_biquad_cas_df1_32x64_ins_q31 S1 = {numStages, pState, pCoeffs, postShift};
* </pre>
* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer;
* <code>pCoeffs</code> is the address of the coefficient buffer; <code>postShift</code> 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 <code>[-1 +1)</code>.
* The processing function has an additional scaling parameter <code>postShift</code>
* which allows the filter coefficients to exceed the range <code>[+1 -1)</code>.
* At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits.
* \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"
* This essentially scales the filter coefficients by <code>2^postShift</code>.
* For example, to realize the coefficients
* <pre>
* {1.5, -0.8, 1.2, 1.6, -0.9}
* </pre>
* set the Coefficient array to:
* <pre>
* {0.75, -0.4, 0.6, 0.8, -0.45}
* </pre>
* and set <code>postShift=1</code>
*
* \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 <code>postShift</code> 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.
* <code>arm_biquad_cascade_df1_q31()</code> implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator.
* <code>arm_biquad_cascade_df1_fast_q31()</code> 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BiquadCascadeDF1_32x64 group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df1_f32.c
* Description: Processing function for the floating-point Biquad cascade DirectFormI(DF1) filter
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>blockSize</code> samples through the filter.
* <code>pSrc</code> points to the array of input data and
* <code>pDst</code> points to the array of output data.
* Both arrays contain <code>blockSize</code> values.
*
* \par Algorithm
* Each Biquad stage implements a second order filter using the difference equation:
* <pre>
* y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
* </pre>
* 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 <code>b0, b1 and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.
* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> 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
* <pre>
* y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]
* </pre>
* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.
*
* \par
* Higher order filters are realized as a cascade of second order sections.
* <code>numStages</code> refers to the number of second order stages used.
* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.
* \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"
* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).
*
* \par
* The <code>pState</code> points to state variables array.
* Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.
* The state variables are arranged in the <code>pState</code> array as:
* <pre>
* {x[n-1], x[n-2], y[n-1], y[n-2]}
* </pre>
*
* \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 <code>4*numStages</code> 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
* <pre>
* 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};
* </pre>
* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer;
* <code>pCoeffs</code> is the address of the coefficient buffer; <code>postShift</code> 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
* <b>Scaling of coefficients: </b>
* Filter coefficients are represented as fractional values and
* coefficients are restricted to lie in the range <code>[-1 +1)</code>.
* The fixed-point functions have an additional scaling parameter <code>postShift</code>
* which allow the filter coefficients to exceed the range <code>[+1 -1)</code>.
* At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits.
* \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"
* This essentially scales the filter coefficients by <code>2^postShift</code>.
* For example, to realize the coefficients
* <pre>
* {1.5, -0.8, 1.2, 1.6, -0.9}
* </pre>
* set the pCoeffs array to:
* <pre>
* {0.75, -0.4, 0.6, 0.8, -0.45}
* </pre>
* and set <code>postShift=1</code>
*
* \par
* <b>Filter gain: </b>
* 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
* <b>Overflow and saturation: </b>
* 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 */
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BiquadCascadeDF1 group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df1_fast_q15.c
* Description: Fast processing function for the Q15 Biquad cascade filter
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 <code>postShift</code> bits and the result truncated to 1.15 format by discarding the low 16 bits.
*
* \par
* Refer to the function <code>arm_biquad_cascade_df1_q15()</code> 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 <code>arm_biquad_cascade_df1_init_q15()</code> 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
*/

292
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df1_fast_q31.c
* Description: Processing function for the Q31 Fast Biquad cascade DirectFormI(DF1) filter
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 <code>arm_biquad_cascade_df1_q31()</code> 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 <code>arm_biquad_cascade_df1_init_q31()</code> 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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df1_init_f32.c
* Description: Floating-point Biquad cascade DirectFormI(DF1) filter initialization function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
*
* <b>Coefficient and State Ordering:</b>
*
* \par
* The coefficients are stored in the array <code>pCoeffs</code> in the following order:
* <pre>
* {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
* </pre>
*
* \par
* where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
* <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
* and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
*
* \par
* The <code>pState</code> is a pointer to state array.
* Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.
* The state variables are arranged in the <code>pState</code> array as:
* <pre>
* {x[n-1], x[n-2], y[n-1], y[n-2]}
* </pre>
* 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 <code>4*numStages</code> 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
*/

99
Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df1_init_q15.c
* Description: Q15 Biquad cascade DirectFormI(DF1) filter initialization function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
* <b>Coefficient and State Ordering:</b>
*
* \par
* The coefficients are stored in the array <code>pCoeffs</code> in the following order:
* <pre>
* {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...}
* </pre>
* where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
* <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
* and so on. The <code>pCoeffs</code> array contains a total of <code>6*numStages</code> values.
* The zero coefficient between <code>b1</code> and <code>b2</code> facilities use of 16-bit SIMD instructions on the Cortex-M4.
*
* \par
* The state variables are stored in the array <code>pState</code>.
* Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.
* The state variables are arranged in the <code>pState</code> array as:
* <pre>
* {x[n-1], x[n-2], y[n-1], y[n-2]}
* </pre>
* 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 <code>4*numStages</code> 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
*/

98
Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df1_init_q31.c
* Description: Q31 Biquad cascade DirectFormI(DF1) filter initialization function
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
* <b>Coefficient and State Ordering:</b>
*
* \par
* The coefficients are stored in the array <code>pCoeffs</code> in the following order:
* <pre>
* {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
* </pre>
* where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
* <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
* and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
*
* \par
* The <code>pState</code> points to state variables array.
* Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.
* The state variables are arranged in the <code>pState</code> array as:
* <pre>
* {x[n-1], x[n-2], y[n-1], y[n-2]}
* </pre>
* 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 <code>4*numStages</code> 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
*/

398
Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df1_q15.c
* Description: Processing function for the Q15 Biquad cascade DirectFormI(DF1) filter
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
*
* <b>Scaling and Overflow Behavior:</b>
* \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 <code>postShift</code> 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 <code>arm_biquad_cascade_df1_fast_q15()</code> 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)
{
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BiquadCascadeDF1 group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df1_q31.c
* Description: Processing function for the Q31 Biquad cascade filter
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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.
*
* <b>Scaling and Overflow Behavior:</b>
* \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 <code>postShift</code> bits and the result truncated to
* 1.31 format by discarding the low 32 bits.
*
* \par
* Refer to the function <code>arm_biquad_cascade_df1_fast_q31()</code> 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 */
#if defined (ARM_MATH_DSP)
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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of BiquadCascadeDF1 group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df2T_f32.c
* Description: Processing function for floating-point transposed direct form II Biquad cascade filter
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>blockSize</code> samples through the filter.
* <code>pSrc</code> points to the array of input data and
* <code>pDst</code> points to the array of output data.
* Both arrays contain <code>blockSize</code> values.
*
* \par Algorithm
* Each Biquad stage implements a second order filter using the difference equation:
* <pre>
* y[n] = b0 * x[n] + d1
* d1 = b1 * x[n] + a1 * y[n] + d2
* d2 = b2 * x[n] + a2 * y[n]
* </pre>
* 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 <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.
* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> 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:
* <pre>
* y[n] = b0 * x[n] + d1;
* d1 = b1 * x[n] - a1 * y[n] + d2;
* d2 = b2 * x[n] - a2 * y[n];
* </pre>
* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.
*
* \par
* Higher order filters are realized as a cascade of second order sections.
* <code>numStages</code> refers to the number of second order stages used.
* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.
* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the
* coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).
*
* \par
* <code>pState</code> points to the state variable array.
* Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>.
* The state variables are arranged in the <code>pState</code> array as:
* <pre>
* {d11, d12, d21, d22, ...}
* </pre>
* where <code>d1x</code> refers to the state variables for the first Biquad and
* <code>d2x</code> refers to the state variables for the second Biquad.
* The state array has a total length of <code>2*numStages</code> 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 <code>d1</code> and <code>d2</code>.
* 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
* <pre>
* arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};
* </pre>
* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer.
* <code>pCoeffs</code> 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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df2T_f64.c
* Description: Processing function for floating-point transposed direct form II Biquad cascade filter
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>blockSize</code> samples through the filter.
* <code>pSrc</code> points to the array of input data and
* <code>pDst</code> points to the array of output data.
* Both arrays contain <code>blockSize</code> values.
*
* \par Algorithm
* Each Biquad stage implements a second order filter using the difference equation:
* <pre>
* y[n] = b0 * x[n] + d1
* d1 = b1 * x[n] + a1 * y[n] + d2
* d2 = b2 * x[n] + a2 * y[n]
* </pre>
* 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 <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.
* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> 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:
* <pre>
* y[n] = b0 * x[n] + d1;
* d1 = b1 * x[n] - a1 * y[n] + d2;
* d2 = b2 * x[n] - a2 * y[n];
* </pre>
* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.
*
* \par
* Higher order filters are realized as a cascade of second order sections.
* <code>numStages</code> refers to the number of second order stages used.
* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.
* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the
* coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).
*
* \par
* <code>pState</code> points to the state variable array.
* Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>.
* The state variables are arranged in the <code>pState</code> array as:
* <pre>
* {d11, d12, d21, d22, ...}
* </pre>
* where <code>d1x</code> refers to the state variables for the first Biquad and
* <code>d2x</code> refers to the state variables for the second Biquad.
* The state array has a total length of <code>2*numStages</code> 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 <code>d1</code> and <code>d2</code>.
* 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
* <pre>
* arm_biquad_cascade_df2T_instance_f64 S1 = {numStages, pState, pCoeffs};
* </pre>
* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer.
* <code>pCoeffs</code> 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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df2T_init_f32.c
* Description: Initialization function for floating-point transposed direct form II Biquad cascade filter
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
* <b>Coefficient and State Ordering:</b>
* \par
* The coefficients are stored in the array <code>pCoeffs</code> in the following order:
* <pre>
* {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
* </pre>
*
* \par
* where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
* <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
* and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
*
* \par
* The <code>pState</code> is a pointer to state array.
* Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code>.
* 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 <code>2*numStages</code> 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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_df2T_init_f64.c
* Description: Initialization function for floating-point transposed direct form II Biquad cascade filter
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
* <b>Coefficient and State Ordering:</b>
* \par
* The coefficients are stored in the array <code>pCoeffs</code> in the following order:
* <pre>
* {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
* </pre>
*
* \par
* where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
* <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
* and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
*
* \par
* The <code>pState</code> is a pointer to state array.
* Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code>.
* 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 <code>2*numStages</code> 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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_stereo_df2T_f32.c
* Description: Processing function for floating-point transposed direct form II Biquad cascade filter. 2 channels
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>blockSize</code> samples through the filter.
* <code>pSrc</code> points to the array of input data and
* <code>pDst</code> points to the array of output data.
* Both arrays contain <code>blockSize</code> values.
*
* \par Algorithm
* Each Biquad stage implements a second order filter using the difference equation:
* <pre>
* y[n] = b0 * x[n] + d1
* d1 = b1 * x[n] + a1 * y[n] + d2
* d2 = b2 * x[n] + a2 * y[n]
* </pre>
* 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 <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.
* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> 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:
* <pre>
* y[n] = b0 * x[n] + d1;
* d1 = b1 * x[n] - a1 * y[n] + d2;
* d2 = b2 * x[n] - a2 * y[n];
* </pre>
* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.
*
* \par
* Higher order filters are realized as a cascade of second order sections.
* <code>numStages</code> refers to the number of second order stages used.
* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.
* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the
* coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).
*
* \par
* <code>pState</code> points to the state variable array.
* Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>.
* The state variables are arranged in the <code>pState</code> array as:
* <pre>
* {d11, d12, d21, d22, ...}
* </pre>
* where <code>d1x</code> refers to the state variables for the first Biquad and
* <code>d2x</code> refers to the state variables for the second Biquad.
* The state array has a total length of <code>2*numStages</code> 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 <code>d1</code> and <code>d2</code>.
* 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
* <pre>
* arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};
* </pre>
* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer.
* <code>pCoeffs</code> 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
*/

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Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_biquad_cascade_stereo_df2T_init_f32.c
* Description: Initialization function for floating-point transposed direct form II Biquad cascade filter
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
* <b>Coefficient and State Ordering:</b>
* \par
* The coefficients are stored in the array <code>pCoeffs</code> in the following order:
* <pre>
* {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
* </pre>
*
* \par
* where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
* <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
* and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
*
* \par
* The <code>pState</code> is a pointer to state array.
* Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code> 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 <code>2*numStages</code> 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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_conv_f32.c
* Description: Convolution of floating-point sequences
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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 <code>a[n]</code> and <code>b[n]</code> be sequences of length <code>srcALen</code> and <code>srcBLen</code> samples respectively.
* Then the convolution
*
* <pre>
* c[n] = a[n] * b[n]
* </pre>
*
* \par
* is defined as
* \image html ConvolutionEquation.gif
* \par
* Note that <code>c[n]</code> is of length <code>srcALen + srcBLen - 1</code> and is defined over the interval <code>n=0, 1, 2, ..., srcALen + srcBLen - 2</code>.
* <code>pSrcA</code> points to the first input vector of length <code>srcALen</code> and
* <code>pSrcB</code> points to the second input vector of length <code>srcBLen</code>.
* The output result is written to <code>pDst</code> and the calling function must allocate <code>srcALen+srcBLen-1</code> words for the result.
*
* \par
* Conceptually, when two signals <code>a[n]</code> and <code>b[n]</code> are convolved,
* the signal <code>b[n]</code> slides over <code>a[n]</code>.
* 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:
*
* <pre>
* a[n] * b[n] = b[n] * a[n].
* </pre>
*
* \par
* This means that switching the A and B arguments to the convolution functions has no effect.
*
* <b>Fixed-Point Behavior</b>
*
* \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.
*
*
* <b>Fast Versions</b>
*
* \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.
*
*
* <b>Opt Versions</b>
*
* \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)
{
#if defined (ARM_MATH_DSP)
/* 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 /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of Conv group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_conv_fast_opt_q15.c
* Description: Fast Q15 Convolution
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
*
* <b>Scaling and Overflow Behavior:</b>
*
* \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 <code>arm_conv_q15()</code> 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
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_conv_fast_q31.c
* Description: Fast Q31 Convolution
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* 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.
*/
#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
* <b>Scaling and Overflow Behavior:</b>
*
* \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 <code>arm_conv_q31()</code> 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
*/

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