vendor: OpenCV 5.0.0 snapshot at 755e50675d97db9b7d449d8bd6b09888646f6c6e

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// This file is part of OpenCV project.
// It is subject to the license terms in the LICENSE file found in the top-level directory
// of this distribution and at http://opencv.org/license.html
#ifndef __OPENCV_SIGNAL_PRECOMP__
#define __OPENCV_SIGNAL_PRECOMP__
#include <opencv2/core.hpp>
#endif
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// This file is part of OpenCV project.
// It is subject to the license terms in the LICENSE file found in the top-level directory
// of this distribution and at http://opencv.org/license.html
#include "precomp.hpp"
#include <opencv2/signal/signal_resample.hpp>
#include <opencv2/core/mat.hpp>
#include <opencv2/core/hal/intrin.hpp>
#include <opencv2/core/utils/trace.hpp>
#include <algorithm>
#include <cmath>
#include <vector>
namespace cv {
namespace signal {
#if (CV_SIMD || CV_SIMD_SCALABLE)
#define v_float32_width (uint32_t)VTraits<v_float32>::vlanes()
const uint32_t v_float32_max_width = (uint32_t)VTraits<v_float32>::max_nlanes;
#endif
// Modified Bessel function 1st kind 0th order
static float Bessel(float x)
{
int k = 12; // approximation parameter
float defmul = x * x * 0.25f;
float mul = defmul;
float acc = 0.f;
for(int i = 0 ; i < k; ++i)
{
mul = powf(defmul, static_cast<float>(i));
mul = mul / powf(tgammaf(static_cast<float>(i + 1)), 2.f); // tgamma(i+1) equals i!
acc +=mul;
}
return acc;
}
static void init_filter(float beta, int ntabs, float* tabs)
{
float fc = 0.25f;
// build sinc filter
for (int i = 0; i < ntabs; ++i)
{
tabs[i] = 2 * fc * (i - (ntabs - 1) / 2);
}
std::vector<float> tmparr(ntabs);
for (int i = 0 ; i < ntabs; ++i)
{
if (tabs[i] == 0.f)
{
tmparr[i] = 1.f;
continue;
}
tmparr[i] = (float)(CV_PI * tabs[i]);
}
float mult = 2.f / (float)(ntabs - 1);
// multiply by Kaiser window
for (int i = 0; i < ntabs; ++i)
{
tabs[i] = std::sin(tmparr[i]) / tmparr[i];
tabs[i] *= Bessel(beta * sqrtf((float)1 - powf((i * mult - 1), 2))) / Bessel(beta);
}
float sum = 0.f;
for (int i = 0 ; i < ntabs; ++i)
{
sum += tabs[i];
}
sum = 1.f/sum;
// normalize tabs to get unity gain
for (int i = 0; i < ntabs; ++i)
{
tabs[i] *= sum;
}
}
/////////////// cubic Hermite spline (tail of execIntrinLoop or scalar version) ///////////////
static float scal_cubicHermite(float A, float B, float C, float D, float t)
{
float a = (-A + (3.0f * B) - (3.0f * C) + D) * 0.5f;
float b = A + C + C - (5.0f * B + D) * 0.5f;
float c = (-A + C) * 0.5f;
return a * t * t * t + b * t * t + c * t + B;
}
/////////////// cubic Hermite spline (OpenCV's Universal Intrinsics) ///////////////
#if (CV_SIMD || CV_SIMD_SCALABLE)
static inline v_float32 simd_cubicHermite(const v_float32 &v_A, const v_float32 &v_B, const v_float32 &v_C,
const v_float32 &v_D, const v_float32 &v_t)
{
v_float32 v_zero = vx_setzero_f32();
v_float32 v_three= vx_setall_f32(3.0f);
v_float32 v_half = vx_setall_f32(0.5f);
v_float32 v_five = vx_setall_f32(5.0f);
v_float32 v_inv_A = v_sub(v_zero, v_A);
v_float32 v_a = v_mul(v_sub(v_fma(v_three, v_B, v_add(v_inv_A, v_D)), v_mul(v_three, v_C)), v_half);
v_float32 v_b = v_sub(v_add(v_A, v_C, v_C), v_mul(v_fma(v_five, v_B, v_D), v_half));
v_float32 v_c = v_mul(v_add(v_inv_A, v_C), v_half);
return v_add(v_mul(v_a, v_t, v_t, v_t), v_mul(v_b, v_t, v_t), v_fma(v_c, v_t, v_B));
}
#endif
static void cubicInterpolate(const float* src/*[srclen]*/, uint32_t srclen, float* dst/*[dstlen]*/, uint32_t dstlen)
{
const int srclen_1 = (int)srclen - 1;
uint32_t i = 0U;
const float dstToSrcScale = 1.0f / (float)(dstlen - 1U) * (float)srclen;
#if (CV_SIMD || CV_SIMD_SCALABLE)
const v_float32 v_dst2src_scale = vx_setall_f32(dstToSrcScale);
const v_float32 v_half = vx_setall_f32(0.5f);
int ptr_x_int[v_float32_max_width];
for (unsigned j = 0; j < v_float32_width; ++j)
{
ptr_x_int[j] = (int)j;
}
const v_float32 v_sequence = v_cvt_f32(vx_load(ptr_x_int));
for (i = 0U; i <= dstlen - v_float32_width; i+= v_float32_width)
{
v_float32 v_reg_i = v_add(vx_setall_f32((float)i), v_sequence);
v_float32 v_x = v_sub(v_mul(v_reg_i, v_dst2src_scale), v_half);
v_int32 v_x_int = v_trunc(v_x);
v_float32 v_x_fract = v_sub(v_x, v_cvt_f32(v_floor(v_x)));
vx_store(ptr_x_int, v_x_int);
float ptr_for_cubicHermiteA[v_float32_max_width];
float ptr_for_cubicHermiteB[v_float32_max_width];
float ptr_for_cubicHermiteC[v_float32_max_width];
float ptr_for_cubicHermiteD[v_float32_max_width];
for (unsigned j = 0U; j < v_float32_width; ++j)
{
int src_offset = ptr_x_int[j];
ptr_for_cubicHermiteA[j] = src[std::min(std::max(0, src_offset - 1), srclen_1)];
ptr_for_cubicHermiteB[j] = src[std::min(std::max(0, src_offset + 0), srclen_1)];
ptr_for_cubicHermiteC[j] = src[std::min(std::max(0, src_offset + 1), srclen_1)];
ptr_for_cubicHermiteD[j] = src[std::min(std::max(0, src_offset + 2), srclen_1)];
}
v_float32 v_x_int_add_A = vx_load(ptr_for_cubicHermiteA);
v_float32 v_x_int_add_B = vx_load(ptr_for_cubicHermiteB);
v_float32 v_x_int_add_C = vx_load(ptr_for_cubicHermiteC);
v_float32 v_x_int_add_D = vx_load(ptr_for_cubicHermiteD);
vx_store(&dst[i], simd_cubicHermite(v_x_int_add_A, v_x_int_add_B, v_x_int_add_C, v_x_int_add_D, v_x_fract));
}
#endif
// if the tail exists or scalar version
for(; i < dstlen; ++i)
{
float X = (float)i * dstToSrcScale - 0.5f;
float xfract = X - floor(X);
int xint = (int)X;
float cubicHermiteA = src[std::min(std::max(0, xint - 1), srclen_1)];
float cubicHermiteB = src[std::min(std::max(0, xint + 0), srclen_1)];
float cubicHermiteC = src[std::min(std::max(0, xint + 1), srclen_1)];
float cubicHermiteD = src[std::min(std::max(0, xint + 2), srclen_1)];
dst[i] = scal_cubicHermite(cubicHermiteA, cubicHermiteB, cubicHermiteC, cubicHermiteD, xfract);
}
}
static void fir_f32(const float *pSrc, float *pDst,
const float *pCoeffs, float *pBuffer,
uint32_t numTaps, uint32_t blockSize)
{
uint32_t copyLen = std::min(blockSize, numTaps);
/////////////// delay line to the left ///////////////
uint32_t i = numTaps - 1U, k = 0U, j = 0U;
uint32_t value_i;
const float* ptr = pSrc + 1U - numTaps;
#if (CV_SIMD || CV_SIMD_SCALABLE)
v_float32 v_pDst;
value_i = (uint32_t)std::max((int64_t)(numTaps + numTaps - 2U) - (int64_t)v_float32_width, (int64_t)0);
uint32_t value_k = (uint32_t)std::max((int64_t)copyLen - (int64_t)v_float32_width, (int64_t)0);
uint32_t value_j = (uint32_t)std::max((int64_t)(numTaps) - (int64_t)v_float32_width, (int64_t)0);
for (; i < value_i && k < value_k; i += v_float32_width, k += v_float32_width)
{
v_float32 pSrc_data = vx_load(ptr + i); //vx_load(pSrc + (i + 1U - numTaps));
vx_store(pBuffer + i, pSrc_data);
}
#endif
// if the tail exists or scalar version
value_i = numTaps + numTaps - 2U;
for (; i < value_i && k < copyLen; ++i, ++k)
{
*(pBuffer + i) = *(ptr + i); // pBuffer[i] = pSrc[i + 1U - numTaps]
}
/////////////// process delay line ///////////////
i = 0U; k = 0U;
value_i = numTaps - 1U;
float *ptr_Buf;
for(; i < value_i && k < copyLen; ++i, ++k)
{
ptr_Buf = pBuffer + i;
j = 0U;
#if (CV_SIMD || CV_SIMD_SCALABLE)
v_pDst = vx_setzero_f32();
for (; j < value_j; j += v_float32_width)
{
v_float32 v_pBuffer = vx_load(ptr_Buf + j); //vx_load(pBuffer[i + j])
v_float32 v_pCoeffs = vx_load(pCoeffs + j); //vx_load(pCoeffs[j])
v_pDst = v_fma(v_pBuffer, v_pCoeffs, v_pDst); // v_pDst = v_pBuffer * v_pCoeffs + v_pDst
}
pDst[i] = v_reduce_sum(v_pDst);
#endif
// if the tail exists or scalar version
for (; j < numTaps; ++j)
pDst[i] += pCoeffs[j] * *(ptr_Buf + j); // pDst[i] += pCoeffs[j] * pBuffer[i + j];
}
/////////////// process main block ///////////////
i = numTaps - 1U;
for(; i < blockSize; ++i)
{
const float *ptr_Src = pSrc + (i + 1U - numTaps);
j = 0U;
#if (CV_SIMD || CV_SIMD_SCALABLE)
v_pDst = vx_setzero_f32();
for (; j < value_j; j += v_float32_width)
{
v_float32 v_pSrc = vx_load(ptr_Src + j); // vx_load(pSrc[i + j - (numTaps - 1)])
v_float32 v_pCoeffs = vx_load(pCoeffs + j); //vx_load(pCoeffs[j])
v_pDst = v_fma(v_pSrc, v_pCoeffs, v_pDst);
}
pDst[i] = v_reduce_sum(v_pDst);
#endif
// if the tail exists or scalar version
for (; j < numTaps; ++j)
pDst[i] += pCoeffs[j] * *(ptr_Src + j); // pDst[i] += pCoeffs[j] * pSrc[i + j + 1U - numTaps];
}
/////////////// move delay line left by copyLen elements ///////////////
#if (CV_SIMD || CV_SIMD_SCALABLE)
value_i = (uint32_t)std::max((int64_t)(numTaps - 1U) - (int64_t)v_float32_width, (int64_t)0);
ptr_Buf = pBuffer + copyLen;
for(i = 0U; i < value_i; i += v_float32_width)
{
v_float32 v_pBuffer = vx_load(ptr_Buf + i); //vx_load(pBuffer[copyLen + i])
vx_store(pBuffer + i, v_pBuffer);
}
#endif
// if the tail exists or scalar version
value_i = numTaps - 1U;
for (; i < value_i; ++i)
{
pBuffer[i] = pBuffer[i + copyLen];
}
/////////////// copy new elements ///////////////
/////////////// post-process delay line ///////////////
int l = (int)(numTaps - 2U); k = 0U;
#if (CV_SIMD || CV_SIMD_SCALABLE)
int value_l = (int)v_float32_width;
const float* ptr_part = pSrc + (blockSize + 1U - numTaps - v_float32_width);
for(; l >= value_l && k < value_k; l -= value_l, k += v_float32_width)
{
v_float32 v_pSrc = vx_load(ptr_part + l); // vx_load(pSrc[blockSize - (numTaps - 1) + l - v_float32_width])
vx_store(pBuffer + (l - value_l), v_pSrc);
}
#endif
const float* ptr_Src = pSrc + (blockSize + 1U - numTaps);
for(; l >= 0 && k < copyLen; --l, ++k)
{
pBuffer[l] = *(ptr_Src + l); // pBuffer[l] = pSrc[blockSize + 1U - numTaps + l];
}
}
void resampleSignal(InputArray inputSignal, OutputArray outputSignal,
const int inFreq, const int outFreq)
{
CV_TRACE_FUNCTION();
CV_Assert(!inputSignal.empty());
CV_CheckGE(inFreq, 1000, "");
CV_CheckGE(outFreq, 1000, "");
if (inFreq == outFreq)
{
inputSignal.copyTo(outputSignal);
return;
}
float ratio = (float)outFreq / float(inFreq);
Mat1f inMat = inputSignal.getMat();
outputSignal.create(Size(cvFloor(inMat.cols * ratio), 1), CV_32FC1);
Mat1f outMat = outputSignal.getMat();
cubicInterpolate(inMat.ptr<float>(0), inMat.cols, outMat.ptr<float>(0), outMat.cols);
if (inFreq < 2 * outFreq)
{
uint32_t filtLen = 33U;
float beta = 3.395f;
std::vector<float> filt_window(filtLen, 0.f);
init_filter(beta, filtLen, filt_window.data());
std::vector<float> dlyl(filtLen * 2 - 1, 0.f);
std::vector<float> ptmp(outMat.cols + 2 * filtLen, 0.);
for (auto i = filtLen; i < outMat.cols + filtLen; ++i)
{
ptmp[i] = outMat.at<float>(i - filtLen);
}
std::vector<float> ptmp2(outMat.cols + 2 * filtLen, 0.f);
fir_f32(ptmp.data(), ptmp2.data(), filt_window.data(), dlyl.data(), filtLen, (uint32_t)(ptmp.size()));
for (auto i = filtLen; i < outMat.cols + filtLen; ++i)
{
outMat.at<float>(i - filtLen) = ptmp2[i + cvFloor((float)filtLen / 2.f)];
}
}
}
}
}