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authorjaseg <git@jaseg.de>2020-12-20 15:18:02 +0100
committerjaseg <git@jaseg.de>2020-12-20 15:18:02 +0100
commit94f94260ace13688285fc8c62687079b26c18854 (patch)
tree4691249052e28be4d3515c6d2ed4b40545c21ea7 /fw/midi-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c
parent3559d845d29272050d4d44e18e0bb84e676e48ff (diff)
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-/* ----------------------------------------------------------------------
- * Project: CMSIS DSP Library
- * Title: arm_std_q31.c
- * Description: Standard deviation of an array of Q31 type.
- *
- * $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
- */
-
-/**
- * @addtogroup STD
- * @{
- */
-
-/**
- * @brief Standard deviation of the elements of a Q31 vector.
- * @param[in] *pSrc points to the input vector
- * @param[in] blockSize length of the input vector
- * @param[out] *pResult standard deviation value returned here
- * @return none.
- * @details
- * <b>Scaling and Overflow Behavior:</b>
- *
- *\par
- * The function is implemented using an internal 64-bit accumulator.
- * The input is represented in 1.31 format, which is then downshifted by 8 bits
- * which yields 1.23, and intermediate multiplication yields a 2.46 format.
- * The accumulator maintains full precision of the intermediate multiplication results,
- * but provides only a 16 guard bits.
- * There is no saturation on intermediate additions.
- * If the accumulator overflows it wraps around and distorts the result.
- * In order to avoid overflows completely the input signal must be scaled down by
- * log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.
- * After division, internal variables should be Q18.46
- * Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value.
- *
- */
-
-void arm_std_q31(
- q31_t * pSrc,
- uint32_t blockSize,
- q31_t * pResult)
-{
- q63_t sum = 0; /* Accumulator */
- q63_t meanOfSquares, squareOfMean; /* square of mean and mean of square */
- q31_t in; /* input value */
- uint32_t blkCnt; /* loop counter */
- q63_t sumOfSquares = 0; /* Accumulator */
-
- if (blockSize == 1U)
- {
- *pResult = 0;
- return;
- }
-
-#if defined (ARM_MATH_DSP)
- /* Run the below code for Cortex-M4 and Cortex-M3 */
-
- /*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++ >> 8U;
- sum += in;
- sumOfSquares += ((q63_t) (in) * (in));
- in = *pSrc++ >> 8U;
- sum += in;
- sumOfSquares += ((q63_t) (in) * (in));
- in = *pSrc++ >> 8U;
- sum += in;
- sumOfSquares += ((q63_t) (in) * (in));
- in = *pSrc++ >> 8U;
- sum += in;
- sumOfSquares += ((q63_t) (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++ >> 8U;
- sum += in;
- sumOfSquares += ((q63_t) (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 / (q63_t)(blockSize - 1U);
-
-#else
- /* Run the below code for Cortex-M0 */
-
- /* 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++ >> 8U;
- sumOfSquares += ((q63_t) (in) * (in));
-
- /* 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 += 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 / (q63_t)(blockSize - 1U);
-
-#endif /* #if defined (ARM_MATH_DSP) */
-
- /* Compute square of mean */
- squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1U));
-
- /* Compute standard deviation and then store the result to the destination */
- arm_sqrt_q31((meanOfSquares - squareOfMean) >> 15U, pResult);
-}
-
-/**
- * @} end of STD group
- */