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587 lines
17 KiB
C
587 lines
17 KiB
C
/******************************************************************************
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* @file statistics_functions.h
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* @brief Public header file for CMSIS DSP Library
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* @version V1.10.0
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* @date 08 July 2021
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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) 2010-2020 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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#ifndef _STATISTICS_FUNCTIONS_H_
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#define _STATISTICS_FUNCTIONS_H_
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#include "arm_math_types.h"
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#include "arm_math_memory.h"
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#include "dsp/none.h"
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#include "dsp/utils.h"
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#include "dsp/basic_math_functions.h"
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#include "dsp/fast_math_functions.h"
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#ifdef __cplusplus
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extern "C"
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{
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#endif
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/**
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* @defgroup groupStats Statistics Functions
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*/
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/**
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* @brief Computation of the LogSumExp
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*
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* In probabilistic computations, the dynamic of the probability values can be very
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* wide because they come from gaussian functions.
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* To avoid underflow and overflow issues, the values are represented by their log.
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* In this representation, multiplying the original exp values is easy : their logs are added.
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* But adding the original exp values is requiring some special handling and it is the
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* goal of the LogSumExp function.
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*
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* If the values are x1...xn, the function is computing:
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*
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* ln(exp(x1) + ... + exp(xn)) and the computation is done in such a way that
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* rounding issues are minimised.
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*
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* The max xm of the values is extracted and the function is computing:
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* xm + ln(exp(x1 - xm) + ... + exp(xn - xm))
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*
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* @param[in] *in Pointer to an array of input values.
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* @param[in] blockSize Number of samples in the input array.
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* @return LogSumExp
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*
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*/
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float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize);
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/**
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* @brief Dot product with log arithmetic
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*
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* Vectors are containing the log of the samples
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*
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* @param[in] pSrcA points to the first input vector
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* @param[in] pSrcB points to the second input vector
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* @param[in] blockSize number of samples in each vector
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* @param[in] pTmpBuffer temporary buffer of length blockSize
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* @return The log of the dot product .
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*
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*/
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float32_t arm_logsumexp_dot_prod_f32(const float32_t * pSrcA,
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const float32_t * pSrcB,
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uint32_t blockSize,
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float32_t *pTmpBuffer);
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/**
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* @brief Entropy
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*
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* @param[in] pSrcA Array of input values.
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* @param[in] blockSize Number of samples in the input array.
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* @return Entropy -Sum(p ln p)
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*
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*/
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float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize);
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/**
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* @brief Entropy
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*
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* @param[in] pSrcA Array of input values.
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* @param[in] blockSize Number of samples in the input array.
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* @return Entropy -Sum(p ln p)
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*
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*/
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float64_t arm_entropy_f64(const float64_t * pSrcA, uint32_t blockSize);
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/**
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* @brief Kullback-Leibler
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*
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* @param[in] pSrcA Pointer to an array of input values for probability distribution A.
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* @param[in] pSrcB Pointer to an array of input values for probability distribution B.
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* @param[in] blockSize Number of samples in the input array.
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* @return Kullback-Leibler Divergence D(A || B)
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*
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*/
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float32_t arm_kullback_leibler_f32(const float32_t * pSrcA
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,const float32_t * pSrcB
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,uint32_t blockSize);
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/**
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* @brief Kullback-Leibler
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*
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* @param[in] pSrcA Pointer to an array of input values for probability distribution A.
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* @param[in] pSrcB Pointer to an array of input values for probability distribution B.
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* @param[in] blockSize Number of samples in the input array.
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* @return Kullback-Leibler Divergence D(A || B)
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*
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*/
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float64_t arm_kullback_leibler_f64(const float64_t * pSrcA,
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const float64_t * pSrcB,
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uint32_t blockSize);
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/**
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* @brief Sum of the squares of the elements of a Q31 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_power_q31(
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const q31_t * pSrc,
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uint32_t blockSize,
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q63_t * pResult);
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/**
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* @brief Sum of the squares of the elements of a floating-point vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_power_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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* @brief Sum of the squares of the elements of a Q15 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_power_q15(
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const q15_t * pSrc,
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uint32_t blockSize,
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q63_t * pResult);
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/**
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* @brief Sum of the squares of the elements of a Q7 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_power_q7(
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const q7_t * pSrc,
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uint32_t blockSize,
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q31_t * pResult);
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/**
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* @brief Mean value of a Q7 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_mean_q7(
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const q7_t * pSrc,
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uint32_t blockSize,
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q7_t * pResult);
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/**
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* @brief Mean value of a Q15 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_mean_q15(
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const q15_t * pSrc,
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uint32_t blockSize,
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q15_t * pResult);
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/**
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* @brief Mean value of a Q31 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_mean_q31(
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const q31_t * pSrc,
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uint32_t blockSize,
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q31_t * pResult);
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/**
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* @brief Mean value of a floating-point vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_mean_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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* @brief Variance of the elements of a floating-point vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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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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* @brief Variance of the elements of a Q31 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_var_q31(
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const q31_t * pSrc,
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uint32_t blockSize,
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q31_t * pResult);
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/**
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* @brief Variance of the elements of a Q15 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_var_q15(
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const q15_t * pSrc,
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uint32_t blockSize,
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q15_t * pResult);
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/**
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* @brief Root Mean Square of the elements of a floating-point vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_rms_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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* @brief Root Mean Square of the elements of a Q31 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_rms_q31(
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const q31_t * pSrc,
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uint32_t blockSize,
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q31_t * pResult);
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/**
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* @brief Root Mean Square of the elements of a Q15 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_rms_q15(
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const q15_t * pSrc,
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uint32_t blockSize,
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q15_t * pResult);
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/**
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* @brief Standard deviation of the elements of a floating-point vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_std_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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* @brief Standard deviation of the elements of a Q31 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_std_q31(
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const q31_t * pSrc,
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uint32_t blockSize,
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q31_t * pResult);
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/**
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* @brief Standard deviation of the elements of a Q15 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output value.
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*/
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void arm_std_q15(
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const q15_t * pSrc,
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uint32_t blockSize,
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q15_t * pResult);
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/**
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* @brief Minimum value of a Q7 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] result is output pointer
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* @param[in] index is the array index of the minimum value in the input buffer.
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*/
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void arm_min_q7(
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const q7_t * pSrc,
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uint32_t blockSize,
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q7_t * result,
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uint32_t * index);
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/**
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* @brief Minimum value of absolute values of a Q7 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] result is output pointer
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* @param[in] index is the array index of the minimum value in the input buffer.
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*/
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void arm_absmin_q7(
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const q7_t * pSrc,
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uint32_t blockSize,
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q7_t * result,
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uint32_t * index);
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/**
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* @brief Minimum value of a Q15 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output pointer
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* @param[in] pIndex is the array index of the minimum value in the input buffer.
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*/
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void arm_min_q15(
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const q15_t * pSrc,
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uint32_t blockSize,
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q15_t * pResult,
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uint32_t * pIndex);
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/**
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* @brief Minimum value of absolute values of a Q15 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output pointer
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* @param[in] pIndex is the array index of the minimum value in the input buffer.
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*/
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void arm_absmin_q15(
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const q15_t * pSrc,
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uint32_t blockSize,
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q15_t * pResult,
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uint32_t * pIndex);
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/**
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* @brief Minimum value of a Q31 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output pointer
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* @param[out] pIndex is the array index of the minimum value in the input buffer.
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*/
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void arm_min_q31(
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const q31_t * pSrc,
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uint32_t blockSize,
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q31_t * pResult,
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uint32_t * pIndex);
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/**
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* @brief Minimum value of absolute values of a Q31 vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output pointer
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* @param[out] pIndex is the array index of the minimum value in the input buffer.
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*/
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void arm_absmin_q31(
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const q31_t * pSrc,
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uint32_t blockSize,
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q31_t * pResult,
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uint32_t * pIndex);
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/**
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* @brief Minimum value of a floating-point vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output pointer
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* @param[out] pIndex is the array index of the minimum value in the input buffer.
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*/
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void arm_min_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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uint32_t * pIndex);
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/**
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* @brief Minimum value of absolute values of a floating-point vector.
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* @param[in] pSrc is input pointer
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* @param[in] blockSize is the number of samples to process
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* @param[out] pResult is output pointer
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* @param[out] pIndex is the array index of the minimum value in the input buffer.
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*/
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void arm_absmin_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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uint32_t * pIndex);
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/**
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* @brief Maximum value of a Q7 vector.
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* @param[in] pSrc points to the input buffer
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* @param[in] blockSize length of the input vector
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* @param[out] pResult maximum value returned here
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* @param[out] pIndex index of maximum value returned here
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*/
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void arm_max_q7(
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const q7_t * pSrc,
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uint32_t blockSize,
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q7_t * pResult,
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uint32_t * pIndex);
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/**
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* @brief Maximum value of absolute values of a Q7 vector.
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* @param[in] pSrc points to the input buffer
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* @param[in] blockSize length of the input vector
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* @param[out] pResult maximum value returned here
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* @param[out] pIndex index of maximum value returned here
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*/
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void arm_absmax_q7(
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const q7_t * pSrc,
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uint32_t blockSize,
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q7_t * pResult,
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uint32_t * pIndex);
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/**
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* @brief Maximum value of a Q15 vector.
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* @param[in] pSrc points to the input buffer
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* @param[in] blockSize length of the input vector
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* @param[out] pResult maximum value returned here
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* @param[out] pIndex index of maximum value returned here
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*/
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void arm_max_q15(
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const q15_t * pSrc,
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uint32_t blockSize,
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q15_t * pResult,
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uint32_t * pIndex);
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/**
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* @brief Maximum value of absolute values of a Q15 vector.
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* @param[in] pSrc points to the input buffer
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* @param[in] blockSize length of the input vector
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* @param[out] pResult maximum value returned here
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* @param[out] pIndex index of maximum value returned here
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*/
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void arm_absmax_q15(
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const q15_t * pSrc,
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uint32_t blockSize,
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q15_t * pResult,
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uint32_t * pIndex);
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/**
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* @brief Maximum value of a Q31 vector.
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* @param[in] pSrc points to the input buffer
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* @param[in] blockSize length of the input vector
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* @param[out] pResult maximum value returned here
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* @param[out] pIndex index of maximum value returned here
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*/
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void arm_max_q31(
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const q31_t * pSrc,
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uint32_t blockSize,
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q31_t * pResult,
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uint32_t * pIndex);
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/**
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* @brief Maximum value of absolute values of a Q31 vector.
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* @param[in] pSrc points to the input buffer
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* @param[in] blockSize length of the input vector
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* @param[out] pResult maximum value returned here
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* @param[out] pIndex index of maximum value returned here
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*/
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void arm_absmax_q31(
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const q31_t * pSrc,
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uint32_t blockSize,
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q31_t * pResult,
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uint32_t * pIndex);
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/**
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* @brief Maximum value of a floating-point vector.
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* @param[in] pSrc points to the input buffer
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* @param[in] blockSize length of the input vector
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* @param[out] pResult maximum value returned here
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* @param[out] pIndex index of maximum value returned here
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*/
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void arm_max_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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uint32_t * pIndex);
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/**
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* @brief Maximum value of absolute values of a floating-point vector.
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* @param[in] pSrc points to the input buffer
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* @param[in] blockSize length of the input vector
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* @param[out] pResult maximum value returned here
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* @param[out] pIndex index of maximum value returned here
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*/
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void arm_absmax_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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uint32_t * pIndex);
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/**
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@brief Maximum value 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 maximum value returned here
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@return none
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*/
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void arm_max_no_idx_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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#ifdef __cplusplus
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}
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#endif
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#endif /* ifndef _STATISTICS_FUNCTIONS_H_ */
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