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CMSIS-DSP/Source/DistanceFunctions/arm_jensenshannon_distance_...

180 lines
4.2 KiB
C

/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_jensenshannon_distance_f32.c
* Description: Jensen-Shannon distance between two vectors
*
*
* 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"
#include <limits.h>
#include <math.h>
/**
* @addtogroup groupDistance
* @{
*/
static inline double rel_entr(double x, double y)
{
return (x * log(x / y));
}
#if defined(ARM_MATH_NEON)
#include "NEMath.h"
/**
* @brief Jensen-Shannon distance between two vectors
*
* This function is assuming that elements of second vector are > 0
* and 0 only when the corresponding element of first vector is 0.
* Otherwise the result of the computation does not make sense
* and for speed reasons, the cases returning NaN or Infinity are not
* managed.
*
* When the function is computing x log (x / y) with x == 0 and y == 0,
* it will compute the right result (0) but a division by zero will occur
* and should be ignored in client code.
*
* @param[in] pA First vector
* @param[in] pB Second vector
* @param[in] blockSize vector length
* @return distance
*
*/
float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize)
{
float32_t accum, result, tmp,a,b;
uint32_t i, blkCnt;
float32x4_t aV,bV,t, tmpV, accumV;
float32x2_t accumV2;
accum = 0.0;
accumV = vdupq_n_f32(0.0);
blkCnt = blockSize >> 2;
while(blkCnt > 0)
{
aV = vld1q_f32(pA);
bV = vld1q_f32(pB);
t = vaddq_f32(aV,bV);
t = vmulq_n_f32(t, 0.5);
tmpV = vmulq_f32(aV, vinvq_f32(t));
tmpV = vlogq_f32(tmpV);
accumV = vmlaq_f32(accumV, aV, tmpV);
tmpV = vmulq_f32(bV, vinvq_f32(t));
tmpV = vlogq_f32(tmpV);
accumV = vmlaq_f32(accumV, bV, tmpV);
pA += 4;
pB += 4;
blkCnt --;
}
accumV2 = vpadd_f32(vget_low_f32(accumV),vget_high_f32(accumV));
accum = accumV2[0] + accumV2[1];
blkCnt = blockSize & 3;
while(blkCnt > 0)
{
a = *pA;
b = *pB;
tmp = (a + b) / 2.0;
accum += rel_entr(a, tmp);
accum += rel_entr(b, tmp);
pA++;
pB++;
blkCnt --;
}
arm_sqrt_f32(accum/2.0, &result);
return(result);
}
#else
/**
* @brief Jensen-Shannon distance between two vectors
*
* This function is assuming that elements of second vector are > 0
* and 0 only when the corresponding element of first vector is 0.
* Otherwise the result of the computation does not make sense
* and for speed reasons, the cases returning NaN or Infinity are not
* managed.
*
* When the function is computing x log (x / y) with x == 0 and y == 0,
* it will compute the right result (0) but a division by zero will occur
* and should be ignored in client code.
*
* @param[in] pA First vector
* @param[in] pB Second vector
* @param[in] blockSize vector length
* @return distance
*
*/
float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize)
{
float32_t left, right,sum, result, tmp;
uint32_t i;
left = 0.0;
right = 0.0;
for(i=0; i < blockSize; i++)
{
tmp = (pA[i] + pB[i]) / 2.0;
left += rel_entr(pA[i], tmp);
right += rel_entr(pB[i], tmp);
}
sum = left + right;
arm_sqrt_f32(sum/2.0, &result);
return(result);
}
#endif
/**
* @} end of groupDistance group
*/