CMSIS DSP Library from CMSIS 2.0. See http://www.onarm.com/cmsis/ for full details
Dependents: K22F_DSP_Matrix_least_square BNO055-ELEC3810 1BNO055 ECE4180Project--Slave2 ... more
Diff: src/Cortex-M4-M3/StatisticsFunctions/arm_var_f32.c
- Revision:
- 0:1014af42efd9
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/Cortex-M4-M3/StatisticsFunctions/arm_var_f32.c Thu Mar 10 15:07:50 2011 +0000 @@ -0,0 +1,173 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010 ARM Limited. All rights reserved. +* +* $Date: 29. November 2010 +* $Revision: V1.0.3 +* +* Project: CMSIS DSP Library +* Title: arm_var_f32.c +* +* Description: Variance of an array of F32 type. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Version 1.0.3 2010/11/29 +* Re-organized the CMSIS folders and updated documentation. +* +* Version 1.0.2 2010/11/11 +* Documentation updated. +* +* Version 1.0.1 2010/10/05 +* Production release and review comments incorporated. +* +* Version 1.0.0 2010/09/20 +* Production release and review comments incorporated. +* ---------------------------------------------------------------------------- */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @defgroup variance Variance + * + * Calculates the variance of the elements in the input vector. + * The underlying algorithm is used: + * + * <pre> + * Result = (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 variance + * @{ + */ + + +/** + * @brief Variance of the elements of a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult variance value returned here + * @return none. + * + */ + + +void arm_var_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = (float32_t) 0.0; /* Accumulator */ + float32_t meanOfSquares, mean, in, squareOfMean; /* Temporary variables */ + uint32_t blkCnt; /* loop counter */ + float32_t *pIn; /* Temporary pointer */ + + /* updating temporary pointer */ + pIn = pSrc; + + /*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 * 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; + + 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 * 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 = sum / ((float32_t) blockSize - 1.0f); + + /* Reset the accumulator */ + sum = 0.0f; + + /*loop Unrolling */ + blkCnt = blockSize >> 2u; + + /* Reset the input working pointer */ + pSrc = pIn; + + /* 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]) */ + /* Compute sum of all input values and then store the result in a temporary variable, sum. */ + sum += *pSrc++; + sum += *pSrc++; + sum += *pSrc++; + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4u; + + while(blkCnt > 0u) + { + /* 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 += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + /* Compute mean of all input values */ + mean = sum / (float32_t) blockSize; + + /* Compute square of mean */ + squareOfMean = (mean * mean) * (((float32_t) blockSize) / + ((float32_t) blockSize - 1.0f)); + + /* Compute variance and then store the result to the destination */ + *pResult = meanOfSquares - squareOfMean; + +} + +/** + * @} end of variance group + */