| /* ---------------------------------------------------------------------- |
| * Project: CMSIS DSP Library |
| * Title: arm_std_f32.c |
| * Description: Standard deviation of the elements of a floating-point vector |
| * |
| * $Date: 18. March 2019 |
| * $Revision: V1.6.0 |
| * |
| * Target Processor: Cortex-M cores |
| * -------------------------------------------------------------------- */ |
| /* |
| * Copyright (C) 2010-2019 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)) |
| |
| 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 number of samples in input vector |
| @param[out] pResult standard deviation value returned here |
| @return none |
| */ |
| #if defined(ARM_MATH_NEON_EXPERIMENTAL) |
| void arm_std_f32( |
| const float32_t * pSrc, |
| uint32_t blockSize, |
| float32_t * pResult) |
| { |
| float32_t var; |
| arm_var_f32(pSrc,blockSize,&var); |
| arm_sqrt_f32(var, pResult); |
| } |
| #else |
| void arm_std_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 sumOfSquares = 0.0f; /* Sum of squares */ |
| float32_t in; /* Temporary variable to store input value */ |
| |
| #ifndef ARM_MATH_CM0_FAMILY |
| 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_LOOPUNROLL) |
| |
| /* Loop unrolling: Compute 4 outputs at a time */ |
| blkCnt = blockSize >> 2U; |
| |
| while (blkCnt > 0U) |
| { |
| /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ |
| /* C = A[0] + A[1] + ... + A[blockSize-1] */ |
| |
| in = *pSrc++; |
| /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ |
| sumOfSquares += in * in; |
| /* Compute sum and store result in a temporary variable, sum. */ |
| sum += in; |
| |
| in = *pSrc++; |
| sumOfSquares += in * in; |
| sum += in; |
| |
| in = *pSrc++; |
| sumOfSquares += in * in; |
| sum += in; |
| |
| in = *pSrc++; |
| sumOfSquares += in * in; |
| sum += in; |
| |
| /* 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[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ |
| /* C = A[0] + A[1] + ... + A[blockSize-1] */ |
| |
| in = *pSrc++; |
| /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ |
| sumOfSquares += ( in * in); |
| /* Compute sum and store result in a temporary variable, sum. */ |
| sum += in; |
| |
| /* Decrement loop counter */ |
| blkCnt--; |
| } |
| |
| #ifndef ARM_MATH_CM0_FAMILY |
| |
| /* Compute Mean of squares and store 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 store result to destination */ |
| arm_sqrt_f32((meanOfSquares - squareOfMean), pResult); |
| |
| #else |
| /* Run the below code for Cortex-M0 */ |
| |
| /* Compute square of sum */ |
| squareOfSum = ((sum * sum) / (float32_t) blockSize); |
| |
| /* Compute variance */ |
| var = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f)); |
| |
| /* Compute standard deviation and store result in destination */ |
| arm_sqrt_f32(var, pResult); |
| |
| #endif /* #ifndef ARM_MATH_CM0_FAMILY */ |
| |
| } |
| #endif /* #if defined(ARM_MATH_NEON) */ |
| |
| /** |
| @} end of STD group |
| */ |