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Diffstat (limited to 'DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c')
-rw-r--r-- | DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c | 204 |
1 files changed, 204 insertions, 0 deletions
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c b/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c new file mode 100644 index 0000000..5f0ea7d --- /dev/null +++ b/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c @@ -0,0 +1,204 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_var_f32.c +* +* Description: Variance of the elements of a floating-point vector. +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* ---------------------------------------------------------------------------- */ + +#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 = 0.0f; /* Temporary result storage */ + float32_t sumOfSquares = 0.0f; /* Sum of squares */ + float32_t in; /* input value */ + uint32_t blkCnt; /* loop counter */ + +#ifndef ARM_MATH_CM0_FAMILY + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t meanOfSquares, mean, squareOfMean; /* Temporary variables */ + + if(blockSize == 1) + { + *pResult = 0; + return; + } + + /*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 variance and then store the result to the destination */ + *pResult = meanOfSquares - squareOfMean; + +#else + + /* Run the below code for Cortex-M0 */ + float32_t squareOfSum; /* Square of Sum */ + + if(blockSize == 1) + { + *pResult = 0; + return; + } + + /* 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 */ + *pResult = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f)); + +#endif /* #ifndef ARM_MATH_CM0_FAMILY */ + +} + +/** + * @} end of variance group + */ |