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2023-10-03 16:40:14 +08:00
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170
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_f32.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_max_f32.c
* Description: Maximum value of a floating-point vector
*
* $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 groupStats
*/
/**
* @defgroup Max Maximum
*
* Computes the maximum value of an array of data.
* The function returns both the maximum value and its position within the array.
* There are separate functions for floating-point, Q31, Q15, and Q7 data types.
*/
/**
* @addtogroup Max
* @{
*/
/**
* @brief Maximum value of a floating-point vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult maximum value returned here
* @param[out] *pIndex index of maximum value returned here
* @return none.
*/
void arm_max_f32(
float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult,
uint32_t * pIndex)
{
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
float32_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex, count; /* loop counter */
/* Initialise the count value. */
count = 0U;
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
/* Loop unrolling */
blkCnt = (blockSize - 1U) >> 2U;
while (blkCnt > 0U)
{
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
maxVal2 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and its index */
out = maxVal1;
outIndex = count + 1U;
}
/* compare for the maximum value */
if (out < maxVal2)
{
/* Update the maximum value and its index */
out = maxVal2;
outIndex = count + 2U;
}
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
maxVal2 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and its index */
out = maxVal1;
outIndex = count + 3U;
}
/* compare for the maximum value */
if (out < maxVal2)
{
/* Update the maximum value and its index */
out = maxVal2;
outIndex = count + 4U;
}
count += 4U;
/* Decrement the loop counter */
blkCnt--;
}
/* if (blockSize - 1U) is not multiple of 4 */
blkCnt = (blockSize - 1U) % 4U;
#else
/* Run the below code for Cortex-M0 */
float32_t maxVal1, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex; /* loop counter */
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
blkCnt = (blockSize - 1U);
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and it's index */
out = maxVal1;
outIndex = blockSize - blkCnt;
}
/* Decrement the loop counter */
blkCnt--;
}
/* Store the maximum value and it's index into destination pointers */
*pResult = out;
*pIndex = outIndex;
}
/**
* @} end of Max group
*/

162
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_max_q15.c
* Description: Maximum value of a Q15 vector
*
* $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 groupStats
*/
/**
* @addtogroup Max
* @{
*/
/**
* @brief Maximum value of a Q15 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult maximum value returned here
* @param[out] *pIndex index of maximum value returned here
* @return none.
*/
void arm_max_q15(
q15_t * pSrc,
uint32_t blockSize,
q15_t * pResult,
uint32_t * pIndex)
{
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q15_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex, count; /* loop counter */
/* Initialise the count value. */
count = 0U;
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
/* Loop unrolling */
blkCnt = (blockSize - 1U) >> 2U;
while (blkCnt > 0U)
{
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
maxVal2 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and its index */
out = maxVal1;
outIndex = count + 1U;
}
/* compare for the maximum value */
if (out < maxVal2)
{
/* Update the maximum value and its index */
out = maxVal2;
outIndex = count + 2U;
}
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
maxVal2 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and its index */
out = maxVal1;
outIndex = count + 3U;
}
/* compare for the maximum value */
if (out < maxVal2)
{
/* Update the maximum value and its index */
out = maxVal2;
outIndex = count + 4U;
}
count += 4U;
/* Decrement the loop counter */
blkCnt--;
}
/* if (blockSize - 1U) is not multiple of 4 */
blkCnt = (blockSize - 1U) % 4U;
#else
/* Run the below code for Cortex-M0 */
q15_t maxVal1, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex; /* loop counter */
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
blkCnt = (blockSize - 1U);
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and it's index */
out = maxVal1;
outIndex = blockSize - blkCnt;
}
/* Decrement the loop counter */
blkCnt--;
}
/* Store the maximum value and it's index into destination pointers */
*pResult = out;
*pIndex = outIndex;
}
/**
* @} end of Max group
*/

162
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_max_q31.c
* Description: Maximum value of a Q31 vector
*
* $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 groupStats
*/
/**
* @addtogroup Max
* @{
*/
/**
* @brief Maximum value of a Q31 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult maximum value returned here
* @param[out] *pIndex index of maximum value returned here
* @return none.
*/
void arm_max_q31(
q31_t * pSrc,
uint32_t blockSize,
q31_t * pResult,
uint32_t * pIndex)
{
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q31_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex, count; /* loop counter */
/* Initialise the count value. */
count = 0U;
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
/* Loop unrolling */
blkCnt = (blockSize - 1U) >> 2U;
while (blkCnt > 0U)
{
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
maxVal2 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and its index */
out = maxVal1;
outIndex = count + 1U;
}
/* compare for the maximum value */
if (out < maxVal2)
{
/* Update the maximum value and its index */
out = maxVal2;
outIndex = count + 2U;
}
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
maxVal2 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and its index */
out = maxVal1;
outIndex = count + 3U;
}
/* compare for the maximum value */
if (out < maxVal2)
{
/* Update the maximum value and its index */
out = maxVal2;
outIndex = count + 4U;
}
count += 4U;
/* Decrement the loop counter */
blkCnt--;
}
/* if (blockSize - 1U) is not multiple of 4 */
blkCnt = (blockSize - 1U) % 4U;
#else
/* Run the below code for Cortex-M0 */
q31_t maxVal1, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex; /* loop counter */
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
blkCnt = (blockSize - 1U);
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and it's index */
out = maxVal1;
outIndex = blockSize - blkCnt;
}
/* Decrement the loop counter */
blkCnt--;
}
/* Store the maximum value and it's index into destination pointers */
*pResult = out;
*pIndex = outIndex;
}
/**
* @} end of Max group
*/

162
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q7.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_max_q7.c
* Description: Maximum value of a Q7 vector
*
* $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 groupStats
*/
/**
* @addtogroup Max
* @{
*/
/**
* @brief Maximum value of a Q7 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult maximum value returned here
* @param[out] *pIndex index of maximum value returned here
* @return none.
*/
void arm_max_q7(
q7_t * pSrc,
uint32_t blockSize,
q7_t * pResult,
uint32_t * pIndex)
{
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q7_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex, count; /* loop counter */
/* Initialise the count value. */
count = 0U;
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
/* Loop unrolling */
blkCnt = (blockSize - 1U) >> 2U;
while (blkCnt > 0U)
{
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
maxVal2 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and its index */
out = maxVal1;
outIndex = count + 1U;
}
/* compare for the maximum value */
if (out < maxVal2)
{
/* Update the maximum value and its index */
out = maxVal2;
outIndex = count + 2U;
}
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
maxVal2 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and its index */
out = maxVal1;
outIndex = count + 3U;
}
/* compare for the maximum value */
if (out < maxVal2)
{
/* Update the maximum value and its index */
out = maxVal2;
outIndex = count + 4U;
}
count += 4U;
/* Decrement the loop counter */
blkCnt--;
}
/* if (blockSize - 1U) is not multiple of 4 */
blkCnt = (blockSize - 1U) % 4U;
#else
/* Run the below code for Cortex-M0 */
q7_t maxVal1, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex; /* loop counter */
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
blkCnt = (blockSize - 1U);
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* Initialize maxVal to the next consecutive values one by one */
maxVal1 = *pSrc++;
/* compare for the maximum value */
if (out < maxVal1)
{
/* Update the maximum value and it's index */
out = maxVal1;
outIndex = blockSize - blkCnt;
}
/* Decrement the loop counter */
blkCnt--;
}
/* Store the maximum value and it's index into destination pointers */
*pResult = out;
*pIndex = outIndex;
}
/**
* @} end of Max group
*/

125
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_f32.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mean_f32.c
* Description: Mean value of a floating-point vector
*
* $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 groupStats
*/
/**
* @defgroup mean Mean
*
* Calculates the mean of the input vector. Mean is defined as the average of the elements in the vector.
* The underlying algorithm is used:
*
* <pre>
* Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize;
* </pre>
*
* There are separate functions for floating-point, Q31, Q15, and Q7 data types.
*/
/**
* @addtogroup mean
* @{
*/
/**
* @brief Mean value of a floating-point vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult mean value returned here
* @return none.
*/
void arm_mean_f32(
float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult)
{
float32_t sum = 0.0f; /* Temporary result storage */
uint32_t blkCnt; /* loop counter */
#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[0] + A[1] + A[2] + ... + A[blockSize-1]) */
in1 = *pSrc++;
in2 = *pSrc++;
in3 = *pSrc++;
in4 = *pSrc++;
sum += in1;
sum += in2;
sum += in3;
sum += in4;
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
sum += *pSrc++;
/* Decrement the loop counter */
blkCnt--;
}
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */
/* Store the result to the destination */
*pResult = sum / (float32_t) blockSize;
}
/**
* @} end of mean group
*/

120
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mean_q15.c
* Description: Mean value of a Q15 vector
*
* $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 groupStats
*/
/**
* @addtogroup mean
* @{
*/
/**
* @brief Mean value of a Q15 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult mean value returned here
* @return none.
*
* @details
* <b>Scaling and Overflow Behavior:</b>
* \par
* The function is implemented using a 32-bit internal accumulator.
* The input is represented in 1.15 format and is accumulated in a 32-bit
* accumulator in 17.15 format.
* There is no risk of internal overflow with this approach, and the
* full precision of intermediate result is preserved.
* Finally, the accumulator is saturated and truncated to yield a result of 1.15 format.
*
*/
void arm_mean_q15(
q15_t * pSrc,
uint32_t blockSize,
q15_t * pResult)
{
q31_t sum = 0; /* Temporary result storage */
uint32_t blkCnt; /* loop counter */
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q31_t in;
/*loop Unrolling */
blkCnt = blockSize >> 2U;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
while (blkCnt > 0U)
{
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
in = *__SIMD32(pSrc)++;
sum += ((in << 16U) >> 16U);
sum += (in >> 16U);
in = *__SIMD32(pSrc)++;
sum += ((in << 16U) >> 16U);
sum += (in >> 16U);
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
sum += *pSrc++;
/* Decrement the loop counter */
blkCnt--;
}
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */
/* Store the result to the destination */
*pResult = (q15_t) (sum / (q31_t)blockSize);
}
/**
* @} end of mean group
*/

123
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mean_q31.c
* Description: Mean value of a Q31 vector
*
* $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 groupStats
*/
/**
* @addtogroup mean
* @{
*/
/**
* @brief Mean value of a Q31 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult mean value returned here
* @return none.
*
* @details
* <b>Scaling and Overflow Behavior:</b>
*\par
* The function is implemented using a 64-bit internal accumulator.
* The input is represented in 1.31 format and is accumulated in a 64-bit
* accumulator in 33.31 format.
* There is no risk of internal overflow with this approach, and the
* full precision of intermediate result is preserved.
* Finally, the accumulator is truncated to yield a result of 1.31 format.
*
*/
void arm_mean_q31(
q31_t * pSrc,
uint32_t blockSize,
q31_t * pResult)
{
q63_t sum = 0; /* Temporary result storage */
uint32_t blkCnt; /* loop counter */
#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[0] + A[1] + A[2] + ... + A[blockSize-1]) */
in1 = *pSrc++;
in2 = *pSrc++;
in3 = *pSrc++;
in4 = *pSrc++;
sum += in1;
sum += in2;
sum += in3;
sum += in4;
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
sum += *pSrc++;
/* Decrement the loop counter */
blkCnt--;
}
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */
/* Store the result to the destination */
*pResult = (q31_t) (sum / (int32_t) blockSize);
}
/**
* @} end of mean group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mean_q7.c
* Description: Mean value of a Q7 vector
*
* $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 groupStats
*/
/**
* @addtogroup mean
* @{
*/
/**
* @brief Mean value of a Q7 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult mean value returned here
* @return none.
*
* @details
* <b>Scaling and Overflow Behavior:</b>
* \par
* The function is implemented using a 32-bit internal accumulator.
* The input is represented in 1.7 format and is accumulated in a 32-bit
* accumulator in 25.7 format.
* There is no risk of internal overflow with this approach, and the
* full precision of intermediate result is preserved.
* Finally, the accumulator is truncated to yield a result of 1.7 format.
*
*/
void arm_mean_q7(
q7_t * pSrc,
uint32_t blockSize,
q7_t * pResult)
{
q31_t sum = 0; /* Temporary result storage */
uint32_t blkCnt; /* loop counter */
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q31_t in;
/*loop Unrolling */
blkCnt = blockSize >> 2U;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
while (blkCnt > 0U)
{
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
in = *__SIMD32(pSrc)++;
sum += ((in << 24U) >> 24U);
sum += ((in << 16U) >> 24U);
sum += ((in << 8U) >> 24U);
sum += (in >> 24U);
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
sum += *pSrc++;
/* Decrement the loop counter */
blkCnt--;
}
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */
/* Store the result to the destination */
*pResult = (q7_t) (sum / (int32_t) blockSize);
}
/**
* @} end of mean group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_min_f32.c
* Description: Minimum value of a floating-point vector
*
* $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 groupStats
*/
/**
* @defgroup Min Minimum
*
* Computes the minimum value of an array of data.
* The function returns both the minimum value and its position within the array.
* There are separate functions for floating-point, Q31, Q15, and Q7 data types.
*/
/**
* @addtogroup Min
* @{
*/
/**
* @brief Minimum value of a floating-point vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult minimum value returned here
* @param[out] *pIndex index of minimum value returned here
* @return none.
*/
void arm_min_f32(
float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult,
uint32_t * pIndex)
{
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
float32_t minVal1, minVal2, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex, count; /* loop counter */
/* Initialise the count value. */
count = 0U;
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
/* Loop unrolling */
blkCnt = (blockSize - 1U) >> 2U;
while (blkCnt > 0U)
{
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
minVal2 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and its index */
out = minVal1;
outIndex = count + 1U;
}
/* compare for the minimum value */
if (out > minVal2)
{
/* Update the minimum value and its index */
out = minVal2;
outIndex = count + 2U;
}
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
minVal2 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and its index */
out = minVal1;
outIndex = count + 3U;
}
/* compare for the minimum value */
if (out > minVal2)
{
/* Update the minimum value and its index */
out = minVal2;
outIndex = count + 4U;
}
count += 4U;
/* Decrement the loop counter */
blkCnt--;
}
/* if (blockSize - 1U) is not multiple of 4 */
blkCnt = (blockSize - 1U) % 4U;
#else
/* Run the below code for Cortex-M0 */
float32_t minVal1, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex; /* loop counter */
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
blkCnt = (blockSize - 1U);
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and it's index */
out = minVal1;
outIndex = blockSize - blkCnt;
}
/* Decrement the loop counter */
blkCnt--;
}
/* Store the minimum value and it's index into destination pointers */
*pResult = out;
*pIndex = outIndex;
}
/**
* @} end of Min group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_min_q15.c
* Description: Minimum value of a Q15 vector
*
* $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 groupStats
*/
/**
* @addtogroup Min
* @{
*/
/**
* @brief Minimum value of a Q15 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult minimum value returned here
* @param[out] *pIndex index of minimum value returned here
* @return none.
*/
void arm_min_q15(
q15_t * pSrc,
uint32_t blockSize,
q15_t * pResult,
uint32_t * pIndex)
{
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q15_t minVal1, minVal2, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex, count; /* loop counter */
/* Initialise the count value. */
count = 0U;
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
/* Loop unrolling */
blkCnt = (blockSize - 1U) >> 2U;
while (blkCnt > 0U)
{
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
minVal2 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and its index */
out = minVal1;
outIndex = count + 1U;
}
/* compare for the minimum value */
if (out > minVal2)
{
/* Update the minimum value and its index */
out = minVal2;
outIndex = count + 2U;
}
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
minVal2 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and its index */
out = minVal1;
outIndex = count + 3U;
}
/* compare for the minimum value */
if (out > minVal2)
{
/* Update the minimum value and its index */
out = minVal2;
outIndex = count + 4U;
}
count += 4U;
/* Decrement the loop counter */
blkCnt--;
}
/* if (blockSize - 1U) is not multiple of 4 */
blkCnt = (blockSize - 1U) % 4U;
#else
/* Run the below code for Cortex-M0 */
q15_t minVal1, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex; /* loop counter */
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
blkCnt = (blockSize - 1U);
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and it's index */
out = minVal1;
outIndex = blockSize - blkCnt;
}
/* Decrement the loop counter */
blkCnt--;
}
/* Store the minimum value and it's index into destination pointers */
*pResult = out;
*pIndex = outIndex;
}
/**
* @} end of Min group
*/

163
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_min_q31.c
* Description: Minimum value of a Q31 vector
*
* $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 groupStats
*/
/**
* @addtogroup Min
* @{
*/
/**
* @brief Minimum value of a Q31 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult minimum value returned here
* @param[out] *pIndex index of minimum value returned here
* @return none.
*/
void arm_min_q31(
q31_t * pSrc,
uint32_t blockSize,
q31_t * pResult,
uint32_t * pIndex)
{
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q31_t minVal1, minVal2, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex, count; /* loop counter */
/* Initialise the count value. */
count = 0U;
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
/* Loop unrolling */
blkCnt = (blockSize - 1U) >> 2U;
while (blkCnt > 0U)
{
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
minVal2 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and its index */
out = minVal1;
outIndex = count + 1U;
}
/* compare for the minimum value */
if (out > minVal2)
{
/* Update the minimum value and its index */
out = minVal2;
outIndex = count + 2U;
}
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
minVal2 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and its index */
out = minVal1;
outIndex = count + 3U;
}
/* compare for the minimum value */
if (out > minVal2)
{
/* Update the minimum value and its index */
out = minVal2;
outIndex = count + 4U;
}
count += 4U;
/* Decrement the loop counter */
blkCnt--;
}
/* if (blockSize - 1U) is not multiple of 4 */
blkCnt = (blockSize - 1U) % 4U;
#else
/* Run the below code for Cortex-M0 */
q31_t minVal1, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex; /* loop counter */
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
blkCnt = (blockSize - 1U);
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and it's index */
out = minVal1;
outIndex = blockSize - blkCnt;
}
/* Decrement the loop counter */
blkCnt--;
}
/* Store the minimum value and it's index into destination pointers */
*pResult = out;
*pIndex = outIndex;
}
/**
* @} end of Min group
*/

163
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q7.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_min_q7.c
* Description: Minimum value of a Q7 vector
*
* $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 groupStats
*/
/**
* @addtogroup Min
* @{
*/
/**
* @brief Minimum value of a Q7 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult minimum value returned here
* @param[out] *pIndex index of minimum value returned here
* @return none.
*/
void arm_min_q7(
q7_t * pSrc,
uint32_t blockSize,
q7_t * pResult,
uint32_t * pIndex)
{
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q7_t minVal1, minVal2, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex, count; /* loop counter */
/* Initialise the count value. */
count = 0U;
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
/* Loop unrolling */
blkCnt = (blockSize - 1U) >> 2U;
while (blkCnt > 0U)
{
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
minVal2 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and its index */
out = minVal1;
outIndex = count + 1U;
}
/* compare for the minimum value */
if (out > minVal2)
{
/* Update the minimum value and its index */
out = minVal2;
outIndex = count + 2U;
}
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
minVal2 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and its index */
out = minVal1;
outIndex = count + 3U;
}
/* compare for the minimum value */
if (out > minVal2)
{
/* Update the minimum value and its index */
out = minVal2;
outIndex = count + 4U;
}
count += 4U;
/* Decrement the loop counter */
blkCnt--;
}
/* if (blockSize - 1U) is not multiple of 4 */
blkCnt = (blockSize - 1U) % 4U;
#else
/* Run the below code for Cortex-M0 */
q7_t minVal1, out; /* Temporary variables to store the output value. */
uint32_t blkCnt, outIndex; /* loop counter */
/* Initialise the index value to zero. */
outIndex = 0U;
/* Load first input value that act as reference value for comparision */
out = *pSrc++;
blkCnt = (blockSize - 1U);
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* Initialize minVal to the next consecutive values one by one */
minVal1 = *pSrc++;
/* compare for the minimum value */
if (out > minVal1)
{
/* Update the minimum value and it's index */
out = minVal1;
outIndex = blockSize - blkCnt;
}
/* Decrement the loop counter */
blkCnt--;
}
/* Store the minimum value and it's index into destination pointers */
*pResult = out;
*pIndex = outIndex;
}
/**
* @} end of Min group
*/

129
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_power_f32.c
* Description: Sum of the squares of the elements of a floating-point vector
*
* $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 groupStats
*/
/**
* @defgroup power Power
*
* Calculates the sum of the squares of the elements in the input vector.
* The underlying algorithm is used:
*
* <pre>
* Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1];
* </pre>
*
* There are separate functions for floating point, Q31, Q15, and Q7 data types.
*/
/**
* @addtogroup power
* @{
*/
/**
* @brief Sum of the squares of the elements of a floating-point vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult sum of the squares value returned here
* @return none.
*
*/
void arm_power_f32(
float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult)
{
float32_t sum = 0.0f; /* accumulator */
float32_t in; /* Temporary variable to store input value */
uint32_t blkCnt; /* loop counter */
#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] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute Power and then store the result in a temporary variable, sum. */
in = *pSrc++;
sum += in * in;
in = *pSrc++;
sum += in * in;
in = *pSrc++;
sum += in * in;
in = *pSrc++;
sum += in * in;
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* compute power and then store the result in a temporary variable, sum. */
in = *pSrc++;
sum += in * in;
/* Decrement the loop counter */
blkCnt--;
}
/* Store the result to the destination */
*pResult = sum;
}
/**
* @} end of power group
*/

138
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_power_q15.c
* Description: Sum of the squares of the elements of a Q15 vector
*
* $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 groupStats
*/
/**
* @addtogroup power
* @{
*/
/**
* @brief Sum of the squares of the elements of a Q15 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult sum of the squares value returned here
* @return none.
*
* @details
* <b>Scaling and Overflow Behavior:</b>
*
* \par
* The function is implemented using a 64-bit internal accumulator.
* The input is represented in 1.15 format.
* Intermediate multiplication yields a 2.30 format, and this
* result is added without saturation to a 64-bit accumulator in 34.30 format.
* With 33 guard bits in the accumulator, there is no risk of overflow, and the
* full precision of the intermediate multiplication is preserved.
* Finally, the return result is in 34.30 format.
*
*/
void arm_power_q15(
q15_t * pSrc,
uint32_t blockSize,
q63_t * pResult)
{
q63_t sum = 0; /* Temporary result storage */
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q31_t in32; /* Temporary variable to store input value */
q15_t in16; /* Temporary variable to store input value */
uint32_t blkCnt; /* loop counter */
/* loop Unrolling */
blkCnt = blockSize >> 2U;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
while (blkCnt > 0U)
{
/* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute Power and then store the result in a temporary variable, sum. */
in32 = *__SIMD32(pSrc)++;
sum = __SMLALD(in32, in32, sum);
in32 = *__SIMD32(pSrc)++;
sum = __SMLALD(in32, in32, sum);
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
while (blkCnt > 0U)
{
/* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute Power and then store the result in a temporary variable, sum. */
in16 = *pSrc++;
sum = __SMLALD(in16, in16, sum);
/* Decrement the loop counter */
blkCnt--;
}
#else
/* Run the below code for Cortex-M0 */
q15_t in; /* Temporary variable to store input value */
uint32_t blkCnt; /* loop counter */
/* Loop over blockSize number of values */
blkCnt = blockSize;
while (blkCnt > 0U)
{
/* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute Power and then store the result in a temporary variable, sum. */
in = *pSrc++;
sum += ((q31_t) in * in);
/* Decrement the loop counter */
blkCnt--;
}
#endif /* #if defined (ARM_MATH_DSP) */
/* Store the results in 34.30 format */
*pResult = sum;
}
/**
* @} end of power group
*/

129
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_power_q31.c
* Description: Sum of the squares of the elements of a Q31 vector
*
* $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 groupStats
*/
/**
* @addtogroup power
* @{
*/
/**
* @brief Sum of the squares of the elements of a Q31 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult sum of the squares value returned here
* @return none.
*
* @details
* <b>Scaling and Overflow Behavior:</b>
*
* \par
* The function is implemented using a 64-bit internal accumulator.
* The input is represented in 1.31 format.
* Intermediate multiplication yields a 2.62 format, and this
* result is truncated to 2.48 format by discarding the lower 14 bits.
* The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format.
* With 15 guard bits in the accumulator, there is no risk of overflow, and the
* full precision of the intermediate multiplication is preserved.
* Finally, the return result is in 16.48 format.
*
*/
void arm_power_q31(
q31_t * pSrc,
uint32_t blockSize,
q63_t * pResult)
{
q63_t sum = 0; /* Temporary result storage */
q31_t in;
uint32_t blkCnt; /* loop counter */
#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] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute Power then shift intermediate results by 14 bits to maintain 16.48 format and then store the result in a temporary variable sum, providing 15 guard bits. */
in = *pSrc++;
sum += ((q63_t) in * in) >> 14U;
in = *pSrc++;
sum += ((q63_t) in * in) >> 14U;
in = *pSrc++;
sum += ((q63_t) in * in) >> 14U;
in = *pSrc++;
sum += ((q63_t) in * in) >> 14U;
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute Power and then store the result in a temporary variable, sum. */
in = *pSrc++;
sum += ((q63_t) in * in) >> 14U;
/* Decrement the loop counter */
blkCnt--;
}
/* Store the results in 16.48 format */
*pResult = sum;
}
/**
* @} end of power group
*/

127
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_power_q7.c
* Description: Sum of the squares of the elements of a Q7 vector
*
* $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 groupStats
*/
/**
* @addtogroup power
* @{
*/
/**
* @brief Sum of the squares of the elements of a Q7 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult sum of the squares value returned here
* @return none.
*
* @details
* <b>Scaling and Overflow Behavior:</b>
*
* \par
* The function is implemented using a 32-bit internal accumulator.
* The input is represented in 1.7 format.
* Intermediate multiplication yields a 2.14 format, and this
* result is added without saturation to an accumulator in 18.14 format.
* With 17 guard bits in the accumulator, there is no risk of overflow, and the
* full precision of the intermediate multiplication is preserved.
* Finally, the return result is in 18.14 format.
*
*/
void arm_power_q7(
q7_t * pSrc,
uint32_t blockSize,
q31_t * pResult)
{
q31_t sum = 0; /* Temporary result storage */
q7_t in; /* Temporary variable to store input */
uint32_t blkCnt; /* loop counter */
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q31_t input1; /* Temporary variable to store packed input */
q31_t in1, in2; /* Temporary variables to store input */
/*loop Unrolling */
blkCnt = blockSize >> 2U;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
while (blkCnt > 0U)
{
/* Reading two inputs of pSrc vector and packing */
input1 = *__SIMD32(pSrc)++;
in1 = __SXTB16(__ROR(input1, 8));
in2 = __SXTB16(input1);
/* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* calculate power and accumulate to accumulator */
sum = __SMLAD(in1, in1, sum);
sum = __SMLAD(in2, in2, sum);
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute Power and then store the result in a temporary variable, sum. */
in = *pSrc++;
sum += ((q15_t) in * in);
/* Decrement the loop counter */
blkCnt--;
}
/* Store the result in 18.14 format */
*pResult = sum;
}
/**
* @} end of power group
*/

127
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_rms_f32.c
* Description: Root mean square value of an array of F32 type
*
* $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 groupStats
*/
/**
* @defgroup RMS Root mean square (RMS)
*
*
* Calculates the Root Mean Sqaure of the elements in the input vector.
* The underlying algorithm is used:
*
* <pre>
* Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize));
* </pre>
*
* There are separate functions for floating point, Q31, and Q15 data types.
*/
/**
* @addtogroup RMS
* @{
*/
/**
* @brief Root Mean Square of the elements of a floating-point vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult rms value returned here
* @return none.
*
*/
void arm_rms_f32(
float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult)
{
float32_t sum = 0.0f; /* Accumulator */
float32_t in; /* Tempoprary variable to store input value */
uint32_t blkCnt; /* loop counter */
#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] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute sum of the squares and then store the result in a temporary variable, sum */
in = *pSrc++;
sum += in * in;
in = *pSrc++;
sum += in * in;
in = *pSrc++;
sum += in * in;
in = *pSrc++;
sum += in * in;
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute sum of the squares and then store the results in a temporary variable, sum */
in = *pSrc++;
sum += in * in;
/* Decrement the loop counter */
blkCnt--;
}
/* Compute Rms and store the result in the destination */
arm_sqrt_f32(sum / (float32_t) blockSize, pResult);
}
/**
* @} end of RMS group
*/

139
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_rms_q15.c
* Description: Root Mean Square of the elements of a Q15 vector
*
* $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 RMS
* @{
*/
/**
* @brief Root Mean Square of the elements of a Q15 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult rms value returned here
* @return none.
*
* @details
* <b>Scaling and Overflow Behavior:</b>
*
* \par
* The function is implemented using a 64-bit internal accumulator.
* The input is represented in 1.15 format.
* Intermediate multiplication yields a 2.30 format, and this
* result is added without saturation to a 64-bit accumulator in 34.30 format.
* With 33 guard bits in the accumulator, there is no risk of overflow, and the
* full precision of the intermediate multiplication is preserved.
* Finally, the 34.30 result is truncated to 34.15 format by discarding the lower
* 15 bits, and then saturated to yield a result in 1.15 format.
*
*/
void arm_rms_q15(
q15_t * pSrc,
uint32_t blockSize,
q15_t * pResult)
{
q63_t sum = 0; /* accumulator */
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q31_t in; /* temporary variable to store the input value */
q15_t in1; /* temporary variable to store the input value */
uint32_t blkCnt; /* loop counter */
/* loop Unrolling */
blkCnt = blockSize >> 2U;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute sum of the squares and then store the results in a temporary variable, sum */
in = *__SIMD32(pSrc)++;
sum = __SMLALD(in, in, sum);
in = *__SIMD32(pSrc)++;
sum = __SMLALD(in, in, sum);
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute sum of the squares and then store the results in a temporary variable, sum */
in1 = *pSrc++;
sum = __SMLALD(in1, in1, sum);
/* Decrement the loop counter */
blkCnt--;
}
/* Truncating and saturating the accumulator to 1.15 format */
/* Store the result in the destination */
arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult);
#else
/* Run the below code for Cortex-M0 */
q15_t in; /* temporary variable to store the input value */
uint32_t blkCnt; /* loop counter */
/* Loop over blockSize number of values */
blkCnt = blockSize;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute sum of the squares and then store the results in a temporary variable, sum */
in = *pSrc++;
sum += ((q31_t) in * in);
/* Decrement the loop counter */
blkCnt--;
}
/* Truncating and saturating the accumulator to 1.15 format */
/* Store the result in the destination */
arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult);
#endif /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of RMS group
*/

137
yaokon/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_rms_q31.c
* Description: Root Mean Square of the elements of a Q31 vector
*
* $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 RMS
* @{
*/
/**
* @brief Root Mean Square of the elements of a Q31 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult rms value returned here
* @return none.
*
* @details
* <b>Scaling and Overflow Behavior:</b>
*
*\par
* The function is implemented using an internal 64-bit accumulator.
* The input is represented in 1.31 format, and intermediate multiplication
* yields a 2.62 format.
* The accumulator maintains full precision of the intermediate multiplication results,
* but provides only a single guard bit.
* There is no saturation on intermediate additions.
* If the accumulator overflows, it wraps around and distorts the result.
* In order to avoid overflows completely, the input signal must be scaled down by
* log2(blockSize) bits, as a total of blockSize additions are performed internally.
* Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value.
*
*/
void arm_rms_q31(
q31_t * pSrc,
uint32_t blockSize,
q31_t * pResult)
{
q63_t sum = 0; /* accumulator */
q31_t in; /* Temporary variable to store the input */
uint32_t blkCnt; /* loop counter */
#if defined (ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M3 */
q31_t in1, in2, in3, in4; /* Temporary input variables */
/*loop Unrolling */
blkCnt = blockSize >> 2U;
/* First part of the processing with loop unrolling. Compute 8 outputs at a time.
** a second loop below computes the remaining 1 to 7 samples. */
while (blkCnt > 0U)
{
/* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute sum of the squares and then store the result in a temporary variable, sum */
/* read two samples from source buffer */
in1 = pSrc[0];
in2 = pSrc[1];
/* calculate power and accumulate to accumulator */
sum += (q63_t) in1 *in1;
sum += (q63_t) in2 *in2;
/* read two samples from source buffer */
in3 = pSrc[2];
in4 = pSrc[3];
/* calculate power and accumulate to accumulator */
sum += (q63_t) in3 *in3;
sum += (q63_t) in4 *in4;
/* update source buffer to process next samples */
pSrc += 4U;
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 8, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_DSP) */
while (blkCnt > 0U)
{
/* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
/* Compute sum of the squares and then store the results in a temporary variable, sum */
in = *pSrc++;
sum += (q63_t) in *in;
/* Decrement the loop counter */
blkCnt--;
}
/* Convert data in 2.62 to 1.31 by 31 right shifts and saturate */
/* Compute Rms and store the result in the destination vector */
arm_sqrt_q31(clip_q63_to_q31((sum / (q63_t) blockSize) >> 31), pResult);
}
/**
* @} end of RMS group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_std_f32.c
* Description: Standard deviation of the elements of a floating-point vector
*
* $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 groupStats
*/
/**
* @defgroup STD Standard deviation
*
* Calculates the standard deviation of the elements in the input vector.
* The underlying algorithm is used:
*
* <pre>
* Result = sqrt((sumOfSquares - sum<sup>2</sup> / blockSize) / (blockSize - 1))
*
* where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]
*
* sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]
* </pre>
*
* There are separate functions for floating point, Q31, and Q15 data types.
*/
/**
* @addtogroup STD
* @{
*/
/**
* @brief Standard deviation of the elements of a floating-point vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult standard deviation value returned here
* @return none.
*/
void arm_std_f32(
float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult)
{
float32_t sum = 0.0f; /* Temporary result storage */
float32_t sumOfSquares = 0.0f; /* Sum of squares */
float32_t in; /* input value */
uint32_t blkCnt; /* loop counter */
#if defined (ARM_MATH_DSP)
float32_t meanOfSquares, mean, squareOfMean; /* Temporary variables */
#else
float32_t squareOfSum; /* Square of Sum */
float32_t var; /* Temporary varaince storage */
#endif
if (blockSize == 1U)
{
*pResult = 0;
return;
}
#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] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sum. */
in = *pSrc++;
sum += in;
sumOfSquares += in * in;
in = *pSrc++;
sum += in;
sumOfSquares += in * in;
in = *pSrc++;
sum += in;
sumOfSquares += in * in;
in = *pSrc++;
sum += in;
sumOfSquares += in * in;
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sum. */
in = *pSrc++;
sum += in;
sumOfSquares += in * in;
/* Decrement the loop counter */
blkCnt--;
}
/* Compute Mean of squares of the input samples
* and then store the result in a temporary variable, meanOfSquares. */
meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f);
/* Compute mean of all input values */
mean = sum / (float32_t) blockSize;
/* Compute square of mean */
squareOfMean = (mean * mean) * (((float32_t) blockSize) /
((float32_t) blockSize - 1.0f));
/* Compute standard deviation and then store the result to the destination */
arm_sqrt_f32((meanOfSquares - squareOfMean), pResult);
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sumOfSquares. */
in = *pSrc++;
sumOfSquares += in * in;
/* C = (A[0] + A[1] + ... + A[blockSize-1]) */
/* Compute Sum of the input samples
* and then store the result in a temporary variable, sum. */
sum += in;
/* Decrement the loop counter */
blkCnt--;
}
/* Compute the square of sum */
squareOfSum = ((sum * sum) / (float32_t) blockSize);
/* Compute the variance */
var = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f));
/* Compute standard deviation and then store the result to the destination */
arm_sqrt_f32(var, pResult);
#endif /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of STD group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_std_q15.c
* Description: Standard deviation of an array of Q15 vector
*
* $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 groupStats
*/
/**
* @addtogroup STD
* @{
*/
/**
* @brief Standard deviation of the elements of a Q15 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult standard deviation value returned here
* @return none.
* @details
* <b>Scaling and Overflow Behavior:</b>
*
* \par
* The function is implemented using a 64-bit internal accumulator.
* The input is represented in 1.15 format.
* Intermediate multiplication yields a 2.30 format, and this
* result is added without saturation to a 64-bit accumulator in 34.30 format.
* With 33 guard bits in the accumulator, there is no risk of overflow, and the
* full precision of the intermediate multiplication is preserved.
* Finally, the 34.30 result is truncated to 34.15 format by discarding the lower
* 15 bits, and then saturated to yield a result in 1.15 format.
*/
void arm_std_q15(
q15_t * pSrc,
uint32_t blockSize,
q15_t * pResult)
{
q31_t sum = 0; /* Accumulator */
q31_t meanOfSquares, squareOfMean; /* square of mean and mean of square */
uint32_t blkCnt; /* loop counter */
q63_t sumOfSquares = 0; /* Accumulator */
#if defined (ARM_MATH_DSP)
q31_t in; /* input value */
q15_t in1; /* input value */
#else
q15_t in; /* input value */
#endif
if (blockSize == 1U)
{
*pResult = 0;
return;
}
#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] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sum. */
in = *__SIMD32(pSrc)++;
sum += ((in << 16U) >> 16U);
sum += (in >> 16U);
sumOfSquares = __SMLALD(in, in, sumOfSquares);
in = *__SIMD32(pSrc)++;
sum += ((in << 16U) >> 16U);
sum += (in >> 16U);
sumOfSquares = __SMLALD(in, in, sumOfSquares);
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sum. */
in1 = *pSrc++;
sumOfSquares = __SMLALD(in1, in1, sumOfSquares);
sum += in1;
/* Decrement the loop counter */
blkCnt--;
}
/* Compute Mean of squares of the input samples
* and then store the result in a temporary variable, meanOfSquares. */
meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1U));
/* Compute square of mean */
squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1U)));
/* mean of the squares minus the square of the mean. */
/* Compute standard deviation and store the result to the destination */
arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15U, 16U), pResult);
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sumOfSquares. */
in = *pSrc++;
sumOfSquares += (in * in);
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
/* Compute sum of all input values and then store the result in a temporary variable, sum. */
sum += in;
/* Decrement the loop counter */
blkCnt--;
}
/* Compute Mean of squares of the input samples
* and then store the result in a temporary variable, meanOfSquares. */
meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1U));
/* Compute square of mean */
squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1U)));
/* mean of the squares minus the square of the mean. */
/* Compute standard deviation and store the result to the destination */
arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15U, 16U), pResult);
#endif /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of STD group
*/

169
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_std_q31.c
* Description: Standard deviation of an array of Q31 type.
*
* $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 groupStats
*/
/**
* @addtogroup STD
* @{
*/
/**
* @brief Standard deviation of the elements of a Q31 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult standard deviation value returned here
* @return none.
* @details
* <b>Scaling and Overflow Behavior:</b>
*
*\par
* The function is implemented using an internal 64-bit accumulator.
* The input is represented in 1.31 format, which is then downshifted by 8 bits
* which yields 1.23, and intermediate multiplication yields a 2.46 format.
* The accumulator maintains full precision of the intermediate multiplication results,
* but provides only a 16 guard bits.
* There is no saturation on intermediate additions.
* If the accumulator overflows it wraps around and distorts the result.
* In order to avoid overflows completely the input signal must be scaled down by
* log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.
* After division, internal variables should be Q18.46
* Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value.
*
*/
void arm_std_q31(
q31_t * pSrc,
uint32_t blockSize,
q31_t * pResult)
{
q63_t sum = 0; /* Accumulator */
q63_t meanOfSquares, squareOfMean; /* square of mean and mean of square */
q31_t in; /* input value */
uint32_t blkCnt; /* loop counter */
q63_t sumOfSquares = 0; /* Accumulator */
if (blockSize == 1U)
{
*pResult = 0;
return;
}
#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] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sum. */
in = *pSrc++ >> 8U;
sum += in;
sumOfSquares += ((q63_t) (in) * (in));
in = *pSrc++ >> 8U;
sum += in;
sumOfSquares += ((q63_t) (in) * (in));
in = *pSrc++ >> 8U;
sum += in;
sumOfSquares += ((q63_t) (in) * (in));
in = *pSrc++ >> 8U;
sum += in;
sumOfSquares += ((q63_t) (in) * (in));
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sum. */
in = *pSrc++ >> 8U;
sum += in;
sumOfSquares += ((q63_t) (in) * (in));
/* Decrement the loop counter */
blkCnt--;
}
/* Compute Mean of squares of the input samples
* and then store the result in a temporary variable, meanOfSquares. */
meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1U);
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sumOfSquares. */
in = *pSrc++ >> 8U;
sumOfSquares += ((q63_t) (in) * (in));
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
/* Compute sum of all input values and then store the result in a temporary variable, sum. */
sum += in;
/* Decrement the loop counter */
blkCnt--;
}
/* Compute Mean of squares of the input samples
* and then store the result in a temporary variable, meanOfSquares. */
meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1U);
#endif /* #if defined (ARM_MATH_DSP) */
/* Compute square of mean */
squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1U));
/* Compute standard deviation and then store the result to the destination */
arm_sqrt_q31((meanOfSquares - squareOfMean) >> 15U, pResult);
}
/**
* @} end of STD group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_var_f32.c
* Description: Variance of the elements of a floating-point vector
*
* $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 groupStats
*/
/**
* @defgroup variance Variance
*
* Calculates the variance of the elements in the input vector.
* The underlying algorithm used is the direct method sometimes referred to as the two-pass method:
*
* <pre>
* Result = sum(element - meanOfElements)^2) / numElement - 1
*
* where, meanOfElements = ( pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] ) / blockSize
*
* </pre>
*
* There are separate functions for floating point, Q31, and Q15 data types.
*/
/**
* @addtogroup variance
* @{
*/
/**
* @brief Variance of the elements of a floating-point vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult variance value returned here
* @return none.
*/
void arm_var_f32(
float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult)
{
float32_t fMean, fValue;
uint32_t blkCnt; /* loop counter */
float32_t * pInput = pSrc;
float32_t sum = 0.0f;
float32_t fSum = 0.0f;
#if defined(ARM_MATH_DSP)
float32_t in1, in2, in3, in4;
#endif
if (blockSize <= 1U)
{
*pResult = 0;
return;
}
#if defined(ARM_MATH_DSP)
/* Run the below code for Cortex-M4 and Cortex-M7 */
/*loop Unrolling */
blkCnt = blockSize >> 2U;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
while (blkCnt > 0U)
{
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
in1 = *pInput++;
in2 = *pInput++;
in3 = *pInput++;
in4 = *pInput++;
sum += in1;
sum += in2;
sum += in3;
sum += in4;
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 or Cortex-M3 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
#endif
while (blkCnt > 0U)
{
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
sum += *pInput++;
/* Decrement the loop counter */
blkCnt--;
}
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */
fMean = sum / (float32_t) blockSize;
pInput = pSrc;
#if defined(ARM_MATH_DSP)
/*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)
{
fValue = *pInput++ - fMean;
fSum += fValue * fValue;
fValue = *pInput++ - fMean;
fSum += fValue * fValue;
fValue = *pInput++ - fMean;
fSum += fValue * fValue;
fValue = *pInput++ - fMean;
fSum += fValue * fValue;
/* Decrement the loop counter */
blkCnt--;
}
blkCnt = blockSize % 0x4U;
#else
/* Run the below code for Cortex-M0 or Cortex-M3 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
#endif
while (blkCnt > 0U)
{
fValue = *pInput++ - fMean;
fSum += fValue * fValue;
/* Decrement the loop counter */
blkCnt--;
}
/* Variance */
*pResult = fSum / (float32_t)(blockSize - 1.0f);
}
/**
* @} end of variance group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_var_q15.c
* Description: Variance of an array of Q15 type
*
* $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 groupStats
*/
/**
* @addtogroup variance
* @{
*/
/**
* @brief Variance of the elements of a Q15 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult variance value returned here
* @return none.
* @details
* <b>Scaling and Overflow Behavior:</b>
*
* \par
* The function is implemented using a 64-bit internal accumulator.
* The input is represented in 1.15 format.
* Intermediate multiplication yields a 2.30 format, and this
* result is added without saturation to a 64-bit accumulator in 34.30 format.
* With 33 guard bits in the accumulator, there is no risk of overflow, and the
* full precision of the intermediate multiplication is preserved.
* Finally, the 34.30 result is truncated to 34.15 format by discarding the lower
* 15 bits, and then saturated to yield a result in 1.15 format.
*/
void arm_var_q15(
q15_t * pSrc,
uint32_t blockSize,
q15_t * pResult)
{
q31_t sum = 0; /* Accumulator */
q31_t meanOfSquares, squareOfMean; /* square of mean and mean of square */
uint32_t blkCnt; /* loop counter */
q63_t sumOfSquares = 0; /* Accumulator */
#if defined (ARM_MATH_DSP)
q31_t in; /* input value */
q15_t in1; /* input value */
#else
q15_t in; /* input value */
#endif
if (blockSize == 1U)
{
*pResult = 0;
return;
}
#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] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sum. */
in = *__SIMD32(pSrc)++;
sum += ((in << 16U) >> 16U);
sum += (in >> 16U);
sumOfSquares = __SMLALD(in, in, sumOfSquares);
in = *__SIMD32(pSrc)++;
sum += ((in << 16U) >> 16U);
sum += (in >> 16U);
sumOfSquares = __SMLALD(in, in, sumOfSquares);
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sum. */
in1 = *pSrc++;
sumOfSquares = __SMLALD(in1, in1, sumOfSquares);
sum += in1;
/* Decrement the loop counter */
blkCnt--;
}
/* Compute Mean of squares of the input samples
* and then store the result in a temporary variable, meanOfSquares. */
meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1U));
/* Compute square of mean */
squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1U)));
/* mean of the squares minus the square of the mean. */
*pResult = (meanOfSquares - squareOfMean) >> 15U;
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sumOfSquares. */
in = *pSrc++;
sumOfSquares += (in * in);
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
/* Compute sum of all input values and then store the result in a temporary variable, sum. */
sum += in;
/* Decrement the loop counter */
blkCnt--;
}
/* Compute Mean of squares of the input samples
* and then store the result in a temporary variable, meanOfSquares. */
meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1U));
/* Compute square of mean */
squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1U)));
/* mean of the squares minus the square of the mean. */
*pResult = (meanOfSquares - squareOfMean) >> 15;
#endif /* #if defined (ARM_MATH_DSP) */
}
/**
* @} end of variance group
*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_var_q31.c
* Description: Variance of an array of Q31 type
*
* $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 groupStats
*/
/**
* @addtogroup variance
* @{
*/
/**
* @brief Variance of the elements of a Q31 vector.
* @param[in] *pSrc points to the input vector
* @param[in] blockSize length of the input vector
* @param[out] *pResult variance value returned here
* @return none.
* @details
* <b>Scaling and Overflow Behavior:</b>
*
*\par
* The function is implemented using an internal 64-bit accumulator.
* The input is represented in 1.31 format, which is then downshifted by 8 bits
* which yields 1.23, and intermediate multiplication yields a 2.46 format.
* The accumulator maintains full precision of the intermediate multiplication results,
* but provides only a 16 guard bits.
* There is no saturation on intermediate additions.
* If the accumulator overflows it wraps around and distorts the result.
* In order to avoid overflows completely the input signal must be scaled down by
* log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.
* After division, internal variables should be Q18.46
* Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value.
*
*/
void arm_var_q31(
q31_t * pSrc,
uint32_t blockSize,
q31_t * pResult)
{
q63_t sum = 0; /* Accumulator */
q63_t meanOfSquares, squareOfMean; /* square of mean and mean of square */
q31_t in; /* input value */
uint32_t blkCnt; /* loop counter */
q63_t sumOfSquares = 0; /* Accumulator */
if (blockSize == 1U)
{
*pResult = 0;
return;
}
#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] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sum. */
in = *pSrc++ >> 8U;
sum += in;
sumOfSquares += ((q63_t) (in) * (in));
in = *pSrc++ >> 8U;
sum += in;
sumOfSquares += ((q63_t) (in) * (in));
in = *pSrc++ >> 8U;
sum += in;
sumOfSquares += ((q63_t) (in) * (in));
in = *pSrc++ >> 8U;
sum += in;
sumOfSquares += ((q63_t) (in) * (in));
/* Decrement the loop counter */
blkCnt--;
}
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
blkCnt = blockSize % 0x4U;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sum. */
in = *pSrc++ >> 8U;
sum += in;
sumOfSquares += ((q63_t) (in) * (in));
/* Decrement the loop counter */
blkCnt--;
}
/* Compute Mean of squares of the input samples
* and then store the result in a temporary variable, meanOfSquares. */
meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1U);
#else
/* Run the below code for Cortex-M0 */
/* Loop over blockSize number of values */
blkCnt = blockSize;
while (blkCnt > 0U)
{
/* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
/* Compute Sum of squares of the input samples
* and then store the result in a temporary variable, sumOfSquares. */
in = *pSrc++ >> 8U;
sumOfSquares += ((q63_t) (in) * (in));
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
/* Compute sum of all input values and then store the result in a temporary variable, sum. */
sum += in;
/* Decrement the loop counter */
blkCnt--;
}
/* Compute Mean of squares of the input samples
* and then store the result in a temporary variable, meanOfSquares. */
meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1U);
#endif /* #if defined (ARM_MATH_DSP) */
/* Compute square of mean */
squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1U));
/* Compute standard deviation and then store the result to the destination */
*pResult = (meanOfSquares - squareOfMean) >> 15U;
}
/**
* @} end of variance group
*/