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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_var_f32.c
* Description: Variance of the elements of a floating-point vector
*
* $Date: 23 April 2021
* $Revision: V1.9.0
*
* Target Processor: Cortex-M and Cortex-A cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2021 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 "dsp/statistics_functions.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:
Result = sum(element - meanOfElements)^2) / numElement - 1
meanOfElements = ( pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] ) / blockSize
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 number of samples in input vector
@param[out] pResult variance value returned here
@return none
*/
#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
#include "arm_helium_utils.h"
void arm_var_f32(
const float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult)
{
uint32_t blkCnt; /* loop counters */
f32x4_t vecSrc;
f32x4_t sumVec = vdupq_n_f32(0.0f);
float32_t fMean;
float32_t sum = 0.0f; /* accumulator */
float32_t in; /* Temporary variable to store input value */
if (blockSize <= 1U) {
*pResult = 0;
return;
}
arm_mean_f32(pSrc, blockSize, &fMean);
/* Compute 4 outputs at a time */
blkCnt = blockSize >> 2U;
while (blkCnt > 0U)
{
vecSrc = vldrwq_f32(pSrc);
/*
* sum lanes
*/
vecSrc = vsubq(vecSrc, fMean);
sumVec = vfmaq(sumVec, vecSrc, vecSrc);
blkCnt --;
pSrc += 4;
}
sum = vecAddAcrossF32Mve(sumVec);
/*
* tail
*/
blkCnt = blockSize & 0x3;
while (blkCnt > 0U)
{
in = *pSrc++ - fMean;
sum += in * in;
/* Decrement loop counter */
blkCnt--;
}
/* Variance */
*pResult = sum / (float32_t) (blockSize - 1);
}
#else
#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE)
void arm_var_f32(
const float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult)
{
float32_t mean;
float32_t sum = 0.0f; /* accumulator */
float32_t in; /* Temporary variable to store input value */
uint32_t blkCnt; /* loop counter */
float32x4_t sumV = vdupq_n_f32(0.0f); /* Temporary result storage */
float32x2_t sumV2;
float32x4_t inV;
float32x4_t avg;
arm_mean_f32(pSrc,blockSize,&mean);
avg = vdupq_n_f32(mean);
blkCnt = blockSize >> 2U;
/* 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. */
inV = vld1q_f32(pSrc);
inV = vsubq_f32(inV, avg);
sumV = vmlaq_f32(sumV, inV, inV);
pSrc += 4;
/* Decrement the loop counter */
blkCnt--;
}
sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1);
/* 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. */
in = *pSrc++;
in = in - mean;
sum += in * in;
/* Decrement the loop counter */
blkCnt--;
}
/* Variance */
*pResult = sum / (float32_t)(blockSize - 1.0f);
}
#else
void arm_var_f32(
const float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult)
{
uint32_t blkCnt; /* Loop counter */
float32_t sum = 0.0f; /* Temporary result storage */
float32_t fSum = 0.0f;
float32_t fMean, fValue;
const float32_t * pInput = pSrc;
if (blockSize <= 1U)
{
*pResult = 0;
return;
}
#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
/* Loop unrolling: Compute 4 outputs at a time */
blkCnt = blockSize >> 2U;
while (blkCnt > 0U)
{
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
sum += *pInput++;
sum += *pInput++;
sum += *pInput++;
sum += *pInput++;
/* Decrement loop counter */
blkCnt--;
}
/* Loop unrolling: Compute remaining outputs */
blkCnt = blockSize % 0x4U;
#else
/* Initialize blkCnt with number of samples */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
while (blkCnt > 0U)
{
/* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
sum += *pInput++;
/* Decrement 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_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
/* Loop unrolling: Compute 4 outputs at a time */
blkCnt = blockSize >> 2U;
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 loop counter */
blkCnt--;
}
/* Loop unrolling: Compute remaining outputs */
blkCnt = blockSize % 0x4U;
#else
/* Initialize blkCnt with number of samples */
blkCnt = blockSize;
#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
while (blkCnt > 0U)
{
fValue = *pInput++ - fMean;
fSum += fValue * fValue;
/* Decrement loop counter */
blkCnt--;
}
/* Variance */
*pResult = fSum / (float32_t)(blockSize - 1.0f);
}
#endif /* #if defined(ARM_MATH_NEON) */
#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
/**
@} end of variance group
*/
=======
/* ----------------------------------------------------------------------
* 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:
*
*
* Result = sum(element - meanOfElements)^2) / numElement - 1
*
* where, meanOfElements = ( pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] ) / blockSize
*
*
*
* 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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