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			294 lines
		
	
	
		
			7.2 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			294 lines
		
	
	
		
			7.2 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
| /* ----------------------------------------------------------------------
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|  * Project:      CMSIS DSP Library
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|  * Title:        arm_var_f32.c
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|  * Description:  Variance of the elements of a floating-point vector
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|  *
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|  * $Date:        23 April 2021
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|  * $Revision:    V1.9.0
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|  *
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|  * Target Processor: Cortex-M and Cortex-A cores
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|  * -------------------------------------------------------------------- */
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| /*
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|  * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
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|  *
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|  * SPDX-License-Identifier: Apache-2.0
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|  *
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|  * Licensed under the Apache License, Version 2.0 (the License); you may
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|  * not use this file except in compliance with the License.
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|  * You may obtain a copy of the License at
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|  *
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|  * www.apache.org/licenses/LICENSE-2.0
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|  *
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|  * Unless required by applicable law or agreed to in writing, software
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|  * distributed under the License is distributed on an AS IS BASIS, WITHOUT
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|  * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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|  * See the License for the specific language governing permissions and
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|  * limitations under the License.
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|  */
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| 
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| #include "dsp/statistics_functions.h"
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| 
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| /**
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|   @ingroup groupStats
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|  */
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| 
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| /**
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|   @defgroup variance  Variance
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| 
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|   Calculates the variance of the elements in the input vector.
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|   The underlying algorithm used is the direct method sometimes referred to as the two-pass method:
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| 
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|   <pre>
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|       Result = sum(element - meanOfElements)^2) / numElement - 1
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| 
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|       meanOfElements = ( pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] ) / blockSize
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|   </pre>
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| 
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|   There are separate functions for floating point, Q31, and Q15 data types.
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|  */
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| 
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| /**
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|   @addtogroup variance
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|   @{
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|  */
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| 
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| /**
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|   @brief         Variance of the elements of a floating-point vector.
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|   @param[in]     pSrc       points to the input vector
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|   @param[in]     blockSize  number of samples in input vector
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|   @param[out]    pResult    variance value returned here
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|   @return        none
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|  */
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| #if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
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| 
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| #include "arm_helium_utils.h"
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| 
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| void arm_var_f32(
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|            const float32_t * pSrc,
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|                  uint32_t blockSize,
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|                  float32_t * pResult)
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| {
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|     uint32_t         blkCnt;     /* loop counters */
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|     f32x4_t         vecSrc;
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|     f32x4_t         sumVec = vdupq_n_f32(0.0f);
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|     float32_t       fMean;
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|     float32_t sum = 0.0f;                          /* accumulator */
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|     float32_t in;                                  /* Temporary variable to store input value */
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| 
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|     if (blockSize <= 1U) {
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|         *pResult = 0;
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|         return;
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|     }
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| 
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|     arm_mean_f32(pSrc, blockSize, &fMean);
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| 
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|     /* Compute 4 outputs at a time */
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|     blkCnt = blockSize >> 2U;
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|     while (blkCnt > 0U)
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|     {
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| 
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|         vecSrc = vldrwq_f32(pSrc);
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|         /*
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|          * sum lanes
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|          */
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|         vecSrc = vsubq(vecSrc, fMean);
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|         sumVec = vfmaq(sumVec, vecSrc, vecSrc);
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| 
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|         blkCnt --;
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|         pSrc += 4;
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|     }
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| 
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|     sum = vecAddAcrossF32Mve(sumVec);
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| 
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|     /*
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|      * tail
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|      */
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|     blkCnt = blockSize & 0x3;
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|     while (blkCnt > 0U)
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|     {
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|        in = *pSrc++ - fMean;
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|        sum += in * in;
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| 
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|        /* Decrement loop counter */
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|        blkCnt--;
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|     }
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|    
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|     /* Variance */
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|     *pResult = sum / (float32_t) (blockSize - 1);
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| }
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| #else
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| #if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE)
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| void arm_var_f32(
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|            const float32_t * pSrc,
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|                  uint32_t blockSize,
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|                  float32_t * pResult)
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| {
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|   float32_t mean;
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| 
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|   float32_t sum = 0.0f;                          /* accumulator */
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|   float32_t in;                                  /* Temporary variable to store input value */
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|   uint32_t blkCnt;                               /* loop counter */
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| 
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|   float32x4_t sumV = vdupq_n_f32(0.0f);                          /* Temporary result storage */
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|   float32x2_t sumV2;
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|   float32x4_t inV;
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|   float32x4_t avg;
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| 
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|   arm_mean_f32(pSrc,blockSize,&mean);
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|   avg = vdupq_n_f32(mean);
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| 
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|   blkCnt = blockSize >> 2U;
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| 
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|   /* Compute 4 outputs at a time.
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|    ** a second loop below computes the remaining 1 to 3 samples. */
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|   while (blkCnt > 0U)
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|   {
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|     /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
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|     /* Compute Power and then store the result in a temporary variable, sum. */
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|     inV = vld1q_f32(pSrc);
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|     inV = vsubq_f32(inV, avg);
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|     sumV = vmlaq_f32(sumV, inV, inV);
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|     pSrc += 4;
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| 
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|     /* Decrement the loop counter */
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|     blkCnt--;
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|   }
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| 
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|   sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
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|   sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1);
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| 
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|   /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
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|    ** No loop unrolling is used. */
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|   blkCnt = blockSize % 0x4U;
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| 
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|   while (blkCnt > 0U)
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|   {
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|     /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
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|     /* compute power and then store the result in a temporary variable, sum. */
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|     in = *pSrc++;
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|     in = in - mean;
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|     sum += in * in;
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| 
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|     /* Decrement the loop counter */
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|     blkCnt--;
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|   }
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| 
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|   /* Variance */
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|   *pResult = sum / (float32_t)(blockSize - 1.0f);
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| 
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| }
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| 
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| #else
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| void arm_var_f32(
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|   const float32_t * pSrc,
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|         uint32_t blockSize,
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|         float32_t * pResult)
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| {
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|         uint32_t blkCnt;                               /* Loop counter */
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|         float32_t sum = 0.0f;                          /* Temporary result storage */
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|         float32_t fSum = 0.0f;
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|         float32_t fMean, fValue;
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|   const float32_t * pInput = pSrc;
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| 
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|   if (blockSize <= 1U)
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|   {
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|     *pResult = 0;
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|     return;
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|   }
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| 
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| #if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
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| 
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|   /* Loop unrolling: Compute 4 outputs at a time */
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|   blkCnt = blockSize >> 2U;
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| 
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|   while (blkCnt > 0U)
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|   {
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|     /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
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| 
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|     sum += *pInput++;
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|     sum += *pInput++;
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|     sum += *pInput++;
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|     sum += *pInput++;
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| 
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| 
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|     /* Decrement loop counter */
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|     blkCnt--;
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|   }
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| 
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|   /* Loop unrolling: Compute remaining outputs */
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|   blkCnt = blockSize % 0x4U;
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| 
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| #else
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| 
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|   /* Initialize blkCnt with number of samples */
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|   blkCnt = blockSize;
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| 
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| #endif /* #if defined (ARM_MATH_LOOPUNROLL) */
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| 
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|   while (blkCnt > 0U)
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|   {
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|     /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
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| 
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|     sum += *pInput++;
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| 
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|     /* Decrement loop counter */
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|     blkCnt--;
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|   }
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| 
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|   /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
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|   fMean = sum / (float32_t) blockSize;
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| 
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|   pInput = pSrc;
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| 
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| #if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
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| 
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|   /* Loop unrolling: Compute 4 outputs at a time */
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|   blkCnt = blockSize >> 2U;
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| 
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|   while (blkCnt > 0U)
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|   {
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|     fValue = *pInput++ - fMean;
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|     fSum += fValue * fValue;
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| 
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|     fValue = *pInput++ - fMean;
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|     fSum += fValue * fValue;
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| 
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|     fValue = *pInput++ - fMean;
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|     fSum += fValue * fValue;
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| 
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|     fValue = *pInput++ - fMean;
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|     fSum += fValue * fValue;
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| 
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|     /* Decrement loop counter */
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|     blkCnt--;
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|   }
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| 
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|   /* Loop unrolling: Compute remaining outputs */
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|   blkCnt = blockSize % 0x4U;
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| 
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| #else
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| 
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|   /* Initialize blkCnt with number of samples */
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|   blkCnt = blockSize;
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| 
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| #endif /* #if defined (ARM_MATH_LOOPUNROLL) */
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| 
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|   while (blkCnt > 0U)
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|   {
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|     fValue = *pInput++ - fMean;
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|     fSum += fValue * fValue;
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| 
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|     /* Decrement loop counter */
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|     blkCnt--;
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|   }
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| 
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|   /* Variance */
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|   *pResult = fSum / (float32_t)(blockSize - 1.0f);
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| }
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| #endif /* #if defined(ARM_MATH_NEON) */
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| #endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
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| 
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| /**
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|   @} end of variance group
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|  */
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