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Wiener_avx512.cpp
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Wiener_avx512.cpp
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//
// FFT3DFilter plugin for Avisynth 2.6 - 3D Frequency Domain filter
// AVX512 version of filtering functions
//
// Derived from C version of function. (Copyright(C)2004-2006 A.G.Balakhnin aka Fizick, [email protected], http://avisynth.org.ru)
// Copyright(C) 2018 Daniel Klíma aka Klimax
//
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License version 2 as published by
// the Free Software Foundation.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
//
//-----------------------------------------------------------------------------------------
//
#include "windows.h"
#include "fftwlite.h"
#include <intrin.h>
#include "Wiener.h"
#include "math.h" // for sqrtf
//-----------------------------------------------------------------------------------------
//
void WienerFilter::ApplyWiener2D_AVX512() noexcept
{
int w(0);
float psd(0.0f), WienerFactor(0.0f);
const int outwidth8 = outwidth - outwidth % 8;
if (sharpen == 0 && dehalo == 0)// no sharpen, no dehalo
{
for (int block = start_block; block < blocks; block++)
{
for (int h = 0; h < bh; h++) // middle
{
for (w = 0; w < outwidth8; w = w + 8) // not skip first v.1.2
{
__m512 r1 = _mm512_load_ps(outcur[w]);
__m512 r3 = _mm512_mul_ps(r1, r1);
__m512 r2 = _mm512_permute_ps(r3, _MM_SHUFFLE(0, 3, 0, 1));
r3 = _mm512_add_ps(r3, r2);
r3 = _mm512_add_ps(r3, _mm512_set1_ps(1e-15f));
r2 = _mm512_sub_ps(r3, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r3 = _mm512_div_ps(r2, r3);
r3 = _mm512_max_ps(r3, _mm512_set1_ps(lowlimit));
r3 = _mm512_moveldup_ps(r3);
r1 = _mm512_mul_ps(r1, r3);
_mm512_store_ps(outcur[w], r1);
}
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++) // not skip first v.1.2
{
psd = (outcur[w][0] * outcur[w][0] + outcur[w][1] * outcur[w][1]) + 1e-15f;// power spectrum density
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
outcur[w][0] *= WienerFactor; // apply filter on real part
outcur[w][1] *= WienerFactor; // apply filter on imaginary part
}
outcur += outpitch;
}
}
}
else if (sharpen != 0 && dehalo == 0) // sharpen
{
for (int block = start_block; block < blocks; block++)
{
for (int h = 0; h < bh; h++) // middle
{
for (w = 0; w < outwidth8; w = w + 8) // not skip first
{
__m512 r1 = _mm512_load_ps(outcur[w]);
__m512 r3 = _mm512_mul_ps(r1, r1);
__m512 r2 = _mm512_permute_ps(r3, _MM_SHUFFLE(0, 3, 0, 1));
r3 = _mm512_add_ps(r3, r2);
r3 = _mm512_add_ps(r3, _mm512_set1_ps(1e-15f));
__m512 sharp8 = _mm512_castps256_ps512(_mm256_load_ps(&wsharpen[w]));
sharp8 = _mm512_permutexvar_ps(_mm512_set_epi32(7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0), sharp8);
const __m512 r7 = _mm512_mul_ps(_mm512_set1_ps(sharpen), sharp8);
__m512 r4 = _mm512_mul_ps(r3, _mm512_set1_ps(sigmaSquaredSharpenMax));
__m512 r5 = _mm512_add_ps(r3, _mm512_set1_ps(sigmaSquaredSharpenMin));
const __m512 r6 = _mm512_add_ps(r3, _mm512_set1_ps(sigmaSquaredSharpenMax));
r5 = _mm512_mul_ps(r5, r6);
r4 = _mm512_div_ps(r4, r5);
r4 = _mm512_sqrt_ps(r4);
r4 = _mm512_mul_ps(r4, r7);
r2 = _mm512_sub_ps(r3, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r3 = _mm512_div_ps(r2, r3);
r3 = _mm512_max_ps(r3, _mm512_set1_ps(lowlimit));
r3 = _mm512_moveldup_ps(r3);
r4 = _mm512_add_ps(r4, _mm512_set1_ps(1));
r4 = _mm512_moveldup_ps(r4);
r3 = _mm512_mul_ps(r3, r4);
r1 = _mm512_mul_ps(r1, r3);
_mm512_store_ps(outcur[w], r1);
}
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(wsharpen + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++) // not skip first
{
psd = (outcur[w][0] * outcur[w][0] + outcur[w][1] * outcur[w][1]) + 1e-15f;// power spectrum density
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
WienerFactor *= 1 + sharpen * wsharpen[w] * sqrtf(psd*sigmaSquaredSharpenMax / ((psd + sigmaSquaredSharpenMin)*(psd + sigmaSquaredSharpenMax))); // sharpen factor - changed in v.1.1
outcur[w][0] *= WienerFactor; // apply filter on real part
outcur[w][1] *= WienerFactor; // apply filter on imaginary part
}
outcur += outpitch;
wsharpen += outpitch;
}
wsharpen -= outpitch * bh;
}
}
else if (sharpen == 0 && dehalo != 0)
{
for (int block = start_block; block < blocks; block++)
{
for (int h = 0; h < bh; h++) // middle
{
for (w = 0; w < outwidth8; w = w + 8) // not skip first
{
__m512 r1 = _mm512_load_ps(outcur[w]);
__m512 r3 = _mm512_mul_ps(r1, r1);
__m512 r2 = _mm512_permute_ps(r3, _MM_SHUFFLE(0, 3, 0, 1));
r3 = _mm512_add_ps(r3, r2);
r3 = _mm512_add_ps(r3, _mm512_set1_ps(1e-15f));
__m512 wdehalo8 = _mm512_castps256_ps512(_mm256_load_ps(&wdehalo[w]));
wdehalo8 = _mm512_permutexvar_ps(_mm512_set_epi32(7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0), wdehalo8);
__m512 r7 = _mm512_mul_ps(r3, wdehalo8);
__m512 r5 = _mm512_add_ps(r3, _mm512_set1_ps(ht2n));
r7 = _mm512_mul_ps(r7, _mm512_set1_ps(dehalo));
r7 = _mm512_add_ps(r5, r7);
r5 = _mm512_div_ps(r5, r7);
r2 = _mm512_sub_ps(r3, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r3 = _mm512_div_ps(r2, r3);
r3 = _mm512_max_ps(r3, _mm512_set1_ps(lowlimit));
r3 = _mm512_moveldup_ps(r3);
r5 = _mm512_moveldup_ps(r5);
r3 = _mm512_mul_ps(r3, r5);
r1 = _mm512_mul_ps(r1, r3);
_mm512_store_ps(outcur[w], r1);
}
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(wdehalo + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++) // not skip first
{
psd = (outcur[w][0] * outcur[w][0] + outcur[w][1] * outcur[w][1]) + 1e-15f;// power spectrum density
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
WienerFactor *= (psd + ht2n) / ((psd + ht2n) + dehalo * wdehalo[w] * psd);
outcur[w][0] *= WienerFactor; // apply filter on real part
outcur[w][1] *= WienerFactor; // apply filter on imaginary part
}
outcur += outpitch;
wdehalo += outpitch;
}
wdehalo -= outpitch * bh;
}
}
else if (sharpen != 0 && dehalo != 0)
{
for (int block = start_block; block < blocks; block++)
{
for (int h = 0; h < bh; h++) // middle
{
for (w = 0; w < outwidth8; w = w + 8) // not skip first
{
__m512 r1 = _mm512_load_ps(outcur[w]);
__m512 r3 = _mm512_mul_ps(r1, r1);
__m512 r2 = _mm512_permute_ps(r3, _MM_SHUFFLE(0, 3, 0, 1));
r3 = _mm512_add_ps(r3, r2);
r3 = _mm512_add_ps(r3, _mm512_set1_ps(1e-15f));
__m512 sharp8 = _mm512_castps256_ps512(_mm256_load_ps(&wsharpen[w]));
sharp8 = _mm512_permutexvar_ps(_mm512_set_epi32(7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0), sharp8);
const __m512 r7 = _mm512_mul_ps(_mm512_set1_ps(sharpen), sharp8);
__m512 r4 = _mm512_mul_ps(r3, _mm512_set1_ps(sigmaSquaredSharpenMax));
__m512 r5 = _mm512_add_ps(r3, _mm512_set1_ps(sigmaSquaredSharpenMin));
const __m512 r6 = _mm512_add_ps(r3, _mm512_set1_ps(sigmaSquaredSharpenMax));
r5 = _mm512_mul_ps(r5, r6);
r4 = _mm512_div_ps(r4, r5);
r4 = _mm512_sqrt_ps(r4);
r4 = _mm512_mul_ps(r4, r7);
r2 = _mm512_sub_ps(r3, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r3 = _mm512_div_ps(r2, r3);
r3 = _mm512_max_ps(r3, _mm512_set1_ps(lowlimit));
r3 = _mm512_moveldup_ps(r3);
__m512 wdehalo8 = _mm512_castps256_ps512(_mm256_load_ps(&wdehalo[w]));
wdehalo8 = _mm512_permutexvar_ps(_mm512_set_epi32(7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0), wdehalo8);
__m512 r8 = _mm512_mul_ps(r3, wdehalo8);
__m512 r9 = _mm512_add_ps(r3, _mm512_set1_ps(ht2n));
r8 = _mm512_mul_ps(r8, _mm512_set1_ps(dehalo));
r8 = _mm512_add_ps(r9, r8);
r9 = _mm512_div_ps(r9, r8);
r4 = _mm512_mul_ps(r4, r9);
r4 = _mm512_add_ps(r4, _mm512_set1_ps(1));
r4 = _mm512_moveldup_ps(r4);
r3 = _mm512_mul_ps(r3, r4);
r1 = _mm512_mul_ps(r1, r3);
_mm512_store_ps(outcur[w], r1);
}
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(wsharpen + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(wdehalo + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++) // not skip first
{
psd = (outcur[w][0] * outcur[w][0] + outcur[w][1] * outcur[w][1]) + 1e-15f;// power spectrum density
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
WienerFactor *= 1 + sharpen * wsharpen[w] * sqrtf(psd*sigmaSquaredSharpenMax / ((psd + sigmaSquaredSharpenMin)*(psd + sigmaSquaredSharpenMax))) *
(psd + ht2n) / ((psd + ht2n) + dehalo * wdehalo[w] * psd);
outcur[w][0] *= WienerFactor; // apply filter on real part
outcur[w][1] *= WienerFactor; // apply filter on imaginary part
}
outcur += outpitch;
wsharpen += outpitch;
wdehalo += outpitch;
}
wsharpen -= outpitch * bh;
wdehalo -= outpitch * bh;
}
}
}
void WienerFilter::ApplyWiener2D_degrid_AVX512() noexcept
{
int w(0);
float psd(0.0f), WienerFactor(0.0f);
const int outwidth8 = outwidth - outwidth % 8;
if (sharpen == 0 && dehalo == 0)// no sharpen, no dehalo
{
for (int block = start_block; block < blocks; block++)
{
const float gridfraction = degrid * outcur[0][0] / gridsample[0][0];
const __m512 gridfraction8 = _mm512_set1_ps(gridfraction);
for (int h = 0; h < bh; h++) // middle
{
for (w = 0; w < outwidth8; w = w + 8) // not skip first v.1.2
{
const __m512 gridcorrection = _mm512_mul_ps(gridfraction8, _mm512_load_ps(gridsample[w])); //gridcorrection
__m512 r1 = _mm512_load_ps(outcur[w]);
const __m512 r4 = _mm512_sub_ps(r1, gridcorrection); //corrected
__m512 r3 = _mm512_mul_ps(r4, r4); //corrected^2
__m512 r2 = _mm512_permute_ps(r3, _MM_SHUFFLE(0, 3, 0, 1));
r3 = _mm512_add_ps(r3, r2); //psd
r3 = _mm512_add_ps(r3, _mm512_set1_ps(1e-15f)); //psd
r2 = _mm512_sub_ps(r3, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r3 = _mm512_div_ps(r2, r3);
r3 = _mm512_max_ps(r3, _mm512_set1_ps(lowlimit)); //wienerfactor
r3 = _mm512_moveldup_ps(r3);
r1 = _mm512_fmadd_ps(r4, r3, gridcorrection);
_mm512_store_ps(outcur[w], r1);
}
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(gridsample + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++) // not skip first v.1.2
{
float gridcorrection0 = gridfraction * gridsample[w][0];
float corrected0 = outcur[w][0] - gridcorrection0;
float gridcorrection1 = gridfraction * gridsample[w][1];
float corrected1 = outcur[w][1] - gridcorrection1;
psd = (corrected0*corrected0 + corrected1 * corrected1) + 1e-15f;// power spectrum density
// psd = (outcur[w][0]*outcur[w][0] + outcur[w][1]*outcur[w][1]) + 1e-15f;
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
corrected0 *= WienerFactor; // apply filter on real part
corrected1 *= WienerFactor; // apply filter on imaginary part
outcur[w][0] = corrected0 + gridcorrection0;
outcur[w][1] = corrected1 + gridcorrection1;
}
outcur += outpitch;
gridsample += outpitch;
}
gridsample -= outpitch * bh; // restore pointer to only valid first block
}
}
else if (sharpen != 0 && dehalo == 0) // sharpen
{
for (int block = start_block; block < blocks; block++)
{
const float gridfraction = degrid * outcur[0][0] / gridsample[0][0];
const __m512 gridfraction8 = _mm512_set1_ps(gridfraction);
for (int h = 0; h < bh; h++) // middle
{
for (w = 0; w < outwidth8; w = w + 8) // not skip first
{
const __m512 gridcorrection = _mm512_mul_ps(gridfraction8, _mm512_load_ps(gridsample[w])); //gridcorrection
const __m512 r1 = _mm512_load_ps(outcur[w]);
const __m512 r4 = _mm512_sub_ps(r1, gridcorrection); //corrected
__m512 r3 = _mm512_mul_ps(r4, r4); //corrected^2
__m512 r2 = _mm512_permute_ps(r3, _MM_SHUFFLE(0, 3, 0, 1));
r3 = _mm512_add_ps(r3, r2); //psd
__m512 psd4 = _mm512_add_ps(r3, _mm512_set1_ps(1e-15f)); //psd [0,2]
psd4 = _mm512_moveldup_ps(psd4);
r2 = _mm512_sub_ps(psd4, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r3 = _mm512_div_ps(r2, psd4);
__m512 wienerfactor8 = _mm512_max_ps(r3, _mm512_set1_ps(lowlimit)); //wienerfactor
__m512 sharp8 = _mm512_castps256_ps512(_mm256_load_ps(&wsharpen[w]));
sharp8 = _mm512_permutexvar_ps(_mm512_set_epi32(7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0), sharp8);
__m512 r5 = _mm512_mul_ps(_mm512_set1_ps(sharpen), sharp8);
__m512 r6 = _mm512_add_ps(psd4, _mm512_set1_ps(sigmaSquaredSharpenMax));
__m512 r7 = _mm512_add_ps(psd4, _mm512_set1_ps(sigmaSquaredSharpenMin));
__m512 r8 = _mm512_mul_ps(psd4, _mm512_set1_ps(sigmaSquaredSharpenMax));
r7 = _mm512_mul_ps(r6, r7);
r8 = _mm512_div_ps(r8, r7);
r6 = _mm512_sqrt_ps(r8);
r5 = _mm512_permute_ps(r5, _MM_SHUFFLE(1, 1, 0, 0));
r5 = _mm512_fmadd_ps(r5, r6, _mm512_set1_ps(1.0f));
wienerfactor8 = _mm512_mul_ps(r5, wienerfactor8);
r2 = _mm512_fmadd_ps(r4, wienerfactor8, gridcorrection);
_mm512_store_ps(outcur[w], r1);
}
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(gridsample + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(wsharpen + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++) // not skip first
{
// psd = (outcur[w][0]*outcur[w][0] + outcur[w][1]*outcur[w][1]) + 1e-15f;// power spectrum density
float gridcorrection0 = gridfraction * gridsample[w][0];
float corrected0 = outcur[w][0] - gridcorrection0;
float gridcorrection1 = gridfraction * gridsample[w][1];
float corrected1 = outcur[w][1] - gridcorrection1;
psd = (corrected0*corrected0 + corrected1 * corrected1) + 1e-15f;// power spectrum density
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
WienerFactor *= 1 + sharpen * wsharpen[w] * sqrtf(psd*sigmaSquaredSharpenMax / ((psd + sigmaSquaredSharpenMin)*(psd + sigmaSquaredSharpenMax))); // sharpen factor - changed in v.1.1
// outcur[w][0] *= WienerFactor; // apply filter on real part
// outcur[w][1] *= WienerFactor; // apply filter on imaginary part
corrected0 *= WienerFactor; // apply filter on real part
corrected1 *= WienerFactor; // apply filter on imaginary part
outcur[w][0] = corrected0 + gridcorrection0;
outcur[w][1] = corrected1 + gridcorrection1;
}
outcur += outpitch;
wsharpen += outpitch;
gridsample += outpitch;
}
wsharpen -= outpitch * bh;
gridsample -= outpitch * bh; // restore pointer to only valid first block
}
}
else if (sharpen == 0 && dehalo != 0)
{
for (int block = start_block; block < blocks; block++)
{
const float gridfraction = degrid * outcur[0][0] / gridsample[0][0];
const __m512 gridfraction8 = _mm512_set1_ps(gridfraction);
for (int h = 0; h < bh; h++) // middle
{
for (w = 0; w < outwidth8; w = w + 8) // not skip first
{
const __m512 gridcorrection = _mm512_mul_ps(gridfraction8, _mm512_load_ps(gridsample[w])); //gridcorrection
__m512 r1 = _mm512_load_ps(outcur[w]);
const __m512 r4 = _mm512_sub_ps(r1, gridcorrection); //corrected
__m512 r3 = _mm512_mul_ps(r4, r4); //corrected^2
__m512 r2 = _mm512_permute_ps(r3, _MM_SHUFFLE(0, 3, 0, 1));
r3 = _mm512_add_ps(r3, r2); //psd
__m512 psd4 = _mm512_add_ps(r3, _mm512_set1_ps(1e-15f)); //psd [0,2]
psd4 = _mm512_moveldup_ps(psd4);
r2 = _mm512_sub_ps(psd4, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r3 = _mm512_div_ps(r2, psd4);
__m512 wienerfactor8 = _mm512_max_ps(r3, _mm512_set1_ps(lowlimit)); //wienerfactor
__m512 r5 = _mm512_add_ps(psd4, _mm512_set1_ps(ht2n));
__m512 r6 = _mm512_mul_ps(psd4, _mm512_set1_ps(dehalo));
__m512 wdehalo8 = _mm512_castps256_ps512(_mm256_load_ps(&wdehalo[w]));
wdehalo8 = _mm512_permutexvar_ps(_mm512_set_epi32(7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0), wdehalo8);
r6 = _mm512_fmadd_ps(r6, wdehalo8, r5);
r5 = _mm512_div_ps(r5, r6);
wienerfactor8 = _mm512_mul_ps(r5, wienerfactor8);
r1 = _mm512_fmadd_ps(r4, wienerfactor8, gridcorrection);
_mm512_store_ps(outcur[w], r1);
}
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(gridsample + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(wdehalo + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++) // not skip first
{
// psd = (outcur[w][0]*outcur[w][0] + outcur[w][1]*outcur[w][1]) + 1e-15f;// power spectrum density
float gridcorrection0 = gridfraction * gridsample[w][0];
float corrected0 = outcur[w][0] - gridcorrection0;
float gridcorrection1 = gridfraction * gridsample[w][1];
float corrected1 = outcur[w][1] - gridcorrection1;
psd = (corrected0*corrected0 + corrected1 * corrected1) + 1e-15f;// power spectrum density
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
WienerFactor *= (psd + ht2n) / ((psd + ht2n) + dehalo * wdehalo[w] * psd);
// outcur[w][0] *= WienerFactor; // apply filter on real part
// outcur[w][1] *= WienerFactor; // apply filter on imaginary part
corrected0 *= WienerFactor; // apply filter on real part
corrected1 *= WienerFactor; // apply filter on imaginary part
outcur[w][0] = corrected0 + gridcorrection0;
outcur[w][1] = corrected1 + gridcorrection1;
}
outcur += outpitch;
wdehalo += outpitch;
gridsample += outpitch;
}
wdehalo -= outpitch * bh;
gridsample -= outpitch * bh; // restore pointer to only valid first block
}
}
else if (sharpen != 0 && dehalo != 0)
{
for (int block = start_block; block < blocks; block++)
{
const float gridfraction = degrid * outcur[0][0] / gridsample[0][0];
const __m512 gridfraction8 = _mm512_set1_ps(gridfraction);
for (int h = 0; h < bh; h++) // middle
{
for (w = 0; w < outwidth8; w = w + 8) // not skip first
{
const __m512 gridcorrection = _mm512_mul_ps(gridfraction8, _mm512_load_ps(gridsample[w])); //gridcorrection
__m512 r1 = _mm512_load_ps(outcur[w]);
const __m512 r4 = _mm512_sub_ps(r1, gridcorrection); //corrected
__m512 r3 = _mm512_mul_ps(r4, r4); //corrected^2
__m512 r2 = _mm512_permute_ps(r3, _MM_SHUFFLE(0, 3, 0, 1));
r3 = _mm512_add_ps(r3, r2); //psd
__m512 psd4 = _mm512_add_ps(r3, _mm512_set1_ps(1e-15f)); //psd [0,2]
psd4 = _mm512_moveldup_ps(psd4);
r2 = _mm512_sub_ps(psd4, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r3 = _mm512_div_ps(r2, psd4);
__m512 wienerfactor8 = _mm512_max_ps(r3, _mm512_set1_ps(lowlimit)); //wienerfactor
__m512 sharp8 = _mm512_castps256_ps512(_mm256_load_ps(&wsharpen[w]));
sharp8 = _mm512_permutexvar_ps(_mm512_set_epi32(7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0), sharp8);
__m512 r5 = _mm512_mul_ps(_mm512_set1_ps(sharpen), sharp8);
__m512 r6 = _mm512_add_ps(psd4, _mm512_set1_ps(sigmaSquaredSharpenMax));
__m512 r7 = _mm512_add_ps(psd4, _mm512_set1_ps(sigmaSquaredSharpenMin));
__m512 r8 = _mm512_mul_ps(psd4, _mm512_set1_ps(sigmaSquaredSharpenMax));
r7 = _mm512_mul_ps(r6, r7);
r8 = _mm512_div_ps(r8, r7);
r6 = _mm512_sqrt_ps(r8);
r5 = _mm512_permute_ps(r5, _MM_SHUFFLE(1, 1, 0, 0));
const __m512 sharp4 = _mm512_mul_ps(r5, r6);
__m512 wdehalo8 = _mm512_castps256_ps512(_mm256_load_ps(&wdehalo[w]));
wdehalo8 = _mm512_permutexvar_ps(_mm512_set_epi32(7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0), wdehalo8);
r5 = _mm512_add_ps(psd4, _mm512_set1_ps(ht2n));
r6 = _mm512_mul_ps(psd4, _mm512_set1_ps(dehalo));
r6 = _mm512_fmadd_ps(r6, wdehalo8, r5);
const __m512 dehalo4 = _mm512_div_ps(r5, r6);
r5 = _mm512_mul_ps(sharp4, dehalo4);
r5 = _mm512_add_ps(_mm512_set1_ps(1.0f), r5);
wienerfactor8 = _mm512_mul_ps(r5, wienerfactor8);
r1 = _mm512_fmadd_ps(r4, wienerfactor8, gridcorrection);
_mm512_store_ps(outcur[w], r1);
}
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(gridsample + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(wsharpen + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(wdehalo + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++) // not skip first
{
// psd = (outcur[w][0]*outcur[w][0] + outcur[w][1]*outcur[w][1]) + 1e-15f;// power spectrum density
float gridcorrection0 = gridfraction * gridsample[w][0];
float corrected0 = outcur[w][0] - gridcorrection0;
float gridcorrection1 = gridfraction * gridsample[w][1];
float corrected1 = outcur[w][1] - gridcorrection1;
psd = (corrected0*corrected0 + corrected1 * corrected1) + 1e-15f;// power spectrum density
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
WienerFactor *= 1 + sharpen * wsharpen[w] * sqrtf(psd*sigmaSquaredSharpenMax / ((psd + sigmaSquaredSharpenMin)*(psd + sigmaSquaredSharpenMax))) *
(psd + ht2n) / ((psd + ht2n) + dehalo * wdehalo[w] * psd);
// outcur[w][0] *= WienerFactor; // apply filter on real part
// outcur[w][1] *= WienerFactor; // apply filter on imaginary part
corrected0 *= WienerFactor; // apply filter on real part
corrected1 *= WienerFactor; // apply filter on imaginary part
outcur[w][0] = corrected0 + gridcorrection0;
outcur[w][1] = corrected1 + gridcorrection1;
}
outcur += outpitch;
wsharpen += outpitch;
gridsample += outpitch;
wdehalo += outpitch;
}
wsharpen -= outpitch * bh;
wdehalo -= outpitch * bh;
gridsample -= outpitch * bh; // restore pointer to only valid first block
}
}
}
void WienerFilter::ApplyWiener3D2_AVX512() noexcept
{
// dft 3d (very short - 2 points)
float psd(0.0f), WienerFactor(0.0f), f3d0r(0.0f), f3d1r(0.0f), f3d0i(0.0f), f3d1i(0.0f);
int w(0);
const int outwidth8 = outwidth - outwidth % 8;
for (int block = start_block; block < blocks; block++)
{
for (int h = 0; h < bh; h++)
{
__m512 r2 = _mm512_load_ps(outprev[0]);
__m512 r3 = _mm512_load_ps(outcur[0]);
for (w = 0; w < outwidth8; w = w + 8)
{
__m512 sum8 = _mm512_add_ps(r3, r2);
__m512 dif8 = _mm512_sub_ps(r3, r2);
__m512 r1 = _mm512_mul_ps(sum8, sum8);
r2 = _mm512_mul_ps(dif8, dif8);
r3 = _mm512_permute_ps(r1, _MM_SHUFFLE(0, 3, 0, 1));
const __m512 r4 = _mm512_permute_ps(r2, _MM_SHUFFLE(0, 3, 0, 1));
__m512 psds8 = _mm512_add_ps(r1, r3);
__m512 psdd8 = _mm512_add_ps(r2, r4);
psds8 = _mm512_add_ps(psds8, _mm512_set1_ps(1e-15f));
psdd8 = _mm512_add_ps(psdd8, _mm512_set1_ps(1e-15f));
r1 = _mm512_sub_ps(psds8, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r2 = _mm512_sub_ps(psdd8, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r1 = _mm512_div_ps(r1, psds8);
r2 = _mm512_div_ps(r2, psdd8);
const __m512 WienerFactors8 = _mm512_max_ps(r1, _mm512_set1_ps(lowlimit));
const __m512 WienerFactord8 = _mm512_max_ps(r2, _mm512_set1_ps(lowlimit));
r1 = _mm512_moveldup_ps(WienerFactors8);
r2 = _mm512_moveldup_ps(WienerFactord8);
sum8 = _mm512_mul_ps(sum8, r1);
dif8 = _mm512_mul_ps(dif8, r2);
r1 = _mm512_add_ps(sum8, dif8);
r2 = _mm512_load_ps(outprev[w + 8]);
r3 = _mm512_load_ps(outcur[w + 8]);
r1 = _mm512_mul_ps(r1, _mm512_set1_ps(0.5f));
_mm512_store_ps(outprev[w], r1);
}
_mm_prefetch((const char*)(outprev + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++)
{
f3d0r = outcur[w][0] + outprev[w][0]; // real 0 (sum)
f3d0i = outcur[w][1] + outprev[w][1]; // im 0 (sum)
f3d1r = outcur[w][0] - outprev[w][0]; // real 1 (dif)
f3d1i = outcur[w][1] - outprev[w][1]; // im 1 (dif)
psd = f3d0r * f3d0r + f3d0i * f3d0i + 1e-15f; // power spectrum density 0
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
f3d0r *= WienerFactor; // apply filter on real part
f3d0i *= WienerFactor; // apply filter on imaginary part
psd = f3d1r * f3d1r + f3d1i * f3d1i + 1e-15f; // power spectrum density 1
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
f3d1r *= WienerFactor; // apply filter on real part
f3d1i *= WienerFactor; // apply filter on imaginary part
// reverse dft for 2 points
outprev[w][0] = (f3d0r + f3d1r)*0.5f; // get real part
outprev[w][1] = (f3d0i + f3d1i)*0.5f; // get imaginary part
// Attention! return filtered "out" in "outprev" to preserve "out" for next step
}
outcur += outpitch;
outprev += outpitch;
}
}
}
void WienerFilter::ApplyWiener3D2_degrid_AVX512() noexcept
{
// dft 3d (very short - 2 points)
float psd(0.0f), WienerFactor(0.0f), f3d0r(0.0f), f3d1r(0.0f), f3d0i(0.0f), f3d1i(0.0f);
int w(0);
const int outwidth8 = outwidth - outwidth % 8;
for (int block = start_block; block < blocks; block++)
{
const float gridfraction = degrid * outcur[0][0] / gridsample[0][0];
const __m512 gridfraction8 = _mm512_set1_ps(gridfraction);
for (int h = 0; h < bh; h++)
{
__m512 r2 = _mm512_load_ps(outprev[0]);
__m512 r3 = _mm512_load_ps(outcur[0]);
for (w = 0; w < outwidth8; w = w + 8)
{
__m512 gridcorrection = _mm512_mul_ps(gridfraction8, _mm512_load_ps(gridsample[w])); //gridcorrection
gridcorrection = _mm512_mul_ps(gridcorrection, _mm512_set1_ps(2.0));
__m512 sum8 = _mm512_add_ps(r3, r2);
sum8 = _mm512_sub_ps(sum8, gridcorrection);
__m512 dif8 = _mm512_sub_ps(r3, r2);
__m512 r1 = _mm512_mul_ps(sum8, sum8);
r2 = _mm512_mul_ps(dif8, dif8);
r3 = _mm512_permute_ps(r1, _MM_SHUFFLE(0, 3, 0, 1));
const __m512 r4 = _mm512_permute_ps(r2, _MM_SHUFFLE(0, 3, 0, 1));
__m512 psds8 = _mm512_add_ps(r1, r3);
__m512 psdd8 = _mm512_add_ps(r2, r4);
psds8 = _mm512_add_ps(psds8, _mm512_set1_ps(1e-15f));
psdd8 = _mm512_add_ps(psdd8, _mm512_set1_ps(1e-15f));
r1 = _mm512_sub_ps(psds8, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r2 = _mm512_sub_ps(psdd8, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r1 = _mm512_div_ps(r1, psds8);
r2 = _mm512_div_ps(r2, psdd8);
const __m512 WienerFactors8 = _mm512_max_ps(r1, _mm512_set1_ps(lowlimit));
const __m512 WienerFactord8 = _mm512_max_ps(r2, _mm512_set1_ps(lowlimit));
r1 = _mm512_moveldup_ps(WienerFactors8);
r2 = _mm512_moveldup_ps(WienerFactord8);
sum8 = _mm512_mul_ps(sum8, r1);
dif8 = _mm512_mul_ps(dif8, r2);
r1 = _mm512_add_ps(sum8, dif8);
r2 = _mm512_load_ps(outprev[w + 8]);
r3 = _mm512_load_ps(outcur[w + 8]);
r1 = _mm512_add_ps(gridcorrection, r1);
r1 = _mm512_mul_ps(r1, _mm512_set1_ps(0.5f));
_mm512_store_ps(outprev[w], r1);
}
_mm_prefetch((const char*)(outprev + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(gridsample + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++)
{
float gridcorrection0_2 = gridfraction * gridsample[w][0] * 2; // grid correction
float gridcorrection1_2 = gridfraction * gridsample[w][1] * 2;
f3d0r = outcur[w][0] + outprev[w][0] - gridcorrection0_2; // real 0 (sum)
f3d0i = outcur[w][1] + outprev[w][1] - gridcorrection1_2; // im 0 (sum)
psd = f3d0r * f3d0r + f3d0i * f3d0i + 1e-15f; // power spectrum density 0
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
f3d0r *= WienerFactor; // apply filter on real part
f3d0i *= WienerFactor; // apply filter on imaginary part
f3d1r = outcur[w][0] - outprev[w][0]; // real 1 (dif)
f3d1i = outcur[w][1] - outprev[w][1]; // im 1 (dif)
psd = f3d1r * f3d1r + f3d1i * f3d1i + 1e-15f; // power spectrum density 1
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
f3d1r *= WienerFactor; // apply filter on real part
f3d1i *= WienerFactor; // apply filter on imaginary part
// reverse dft for 2 points
outprev[w][0] = (f3d0r + f3d1r + gridcorrection0_2)*0.5f; // get real part
outprev[w][1] = (f3d0i + f3d1i + gridcorrection1_2)*0.5f; // get imaginary part
// Attention! return filtered "out" in "outprev" to preserve "out" for next step
}
outcur += outpitch;
outprev += outpitch;
gridsample += outpitch;
}
gridsample -= outpitch * bh; // restore pointer to only valid first block
}
}
void WienerFilter::ApplyWiener3D3_AVX512() noexcept
{
// dft 3d (very short - 3 points)
float fcr(0.0f), fci(0.0f), fpr(0.0f), fpi(0.0f), fnr(0.0f), fni(0.0f);
float WienerFactor(0.0f), psd(0.0f);
constexpr float sin120 = 0.86602540378443864676372317075294f;//sqrtf(3.0f)*0.5f;
int w(0);
const int outwidth8 = outwidth - outwidth % 8;
for (int block = start_block; block < blocks; block++)
{
for (int h = 0; h < bh; h++) // first half
{
__m512 r2 = _mm512_load_ps(outnext[0]);
__m512 r3 = _mm512_load_ps(outcur[0]);
for (w = 0; w < outwidth8; w = w + 8) //
{
__m512 r1 = _mm512_load_ps(outprev[w]);
const __m512 pn8 = _mm512_add_ps(r1, r2); //r,i,r,i
__m512 fc8 = _mm512_add_ps(pn8, r3); //r,i,r,i
__m512 d8 = _mm512_sub_ps(r1, r2); //r,i,r,i!
d8 = _mm512_mask_sub_ps(d8, 0X55, r2, r1); //r,i,r,i!
d8 = _mm512_mul_ps(d8, _mm512_set1_ps(sin120));
d8 = _mm512_permute_ps(d8, _MM_SHUFFLE(2, 3, 0, 1));
r1 = _mm512_mul_ps(pn8, _mm512_set1_ps(0.5f));
r1 = _mm512_sub_ps(r3, r1);
__m512 fp8 = _mm512_add_ps(r1, d8);
__m512 fn8 = _mm512_sub_ps(r1, d8);
__m512 psdc8 = _mm512_mul_ps(fc8, fc8);
__m512 psdp8 = _mm512_mul_ps(fp8, fp8);
__m512 psdn8 = _mm512_mul_ps(fn8, fn8);
r1 = _mm512_shuffle_ps(psdc8, psdc8, _MM_SHUFFLE(0, 3, 0, 1));//psd,-,psd,-
r2 = _mm512_shuffle_ps(psdp8, psdp8, _MM_SHUFFLE(0, 3, 0, 1));
r3 = _mm512_shuffle_ps(psdn8, psdn8, _MM_SHUFFLE(0, 3, 0, 1));
psdc8 = _mm512_add_ps(psdc8, r1);
psdp8 = _mm512_add_ps(psdp8, r2);
psdn8 = _mm512_add_ps(psdn8, r3);
psdc8 = _mm512_add_ps(psdc8, _mm512_set1_ps(1e-15f));
psdp8 = _mm512_add_ps(psdp8, _mm512_set1_ps(1e-15f));
psdn8 = _mm512_add_ps(psdn8, _mm512_set1_ps(1e-15f));
r1 = _mm512_sub_ps(psdc8, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r2 = _mm512_sub_ps(psdp8, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r3 = _mm512_sub_ps(psdn8, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r1 = _mm512_div_ps(r1, psdc8);
r2 = _mm512_div_ps(r2, psdp8);
r3 = _mm512_div_ps(r3, psdn8);
r1 = _mm512_max_ps(r1, _mm512_set1_ps(lowlimit));
r2 = _mm512_max_ps(r2, _mm512_set1_ps(lowlimit));
r3 = _mm512_max_ps(r3, _mm512_set1_ps(lowlimit));
fc8 = _mm512_mul_ps(_mm512_moveldup_ps(r1), fc8);
fp8 = _mm512_mul_ps(_mm512_moveldup_ps(r2), fp8);
fn8 = _mm512_mul_ps(_mm512_moveldup_ps(r3), fn8);
r1 = _mm512_add_ps(fc8, fp8);
r1 = _mm512_add_ps(r1, fn8);
r2 = _mm512_load_ps(outnext[w + 8]);
r3 = _mm512_load_ps(outcur[w + 8]);
r1 = _mm512_mul_ps(r1, _mm512_set1_ps(0.33333333333f));
_mm512_store_ps(outprev[w], r1);
}
_mm_prefetch((const char*)(outprev + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(outnext + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++) //
{
const float pnr = outprev[w][0] + outnext[w][0];
const float pni = outprev[w][1] + outnext[w][1];
fcr = outcur[w][0] + pnr; // real cur
fci = outcur[w][1] + pni; // im cur
const float di = sin120 * (outprev[w][1] - outnext[w][1]);
const float dr = sin120 * (outnext[w][0] - outprev[w][0]);
fpr = outcur[w][0] - 0.5f*pnr + di; // real prev
// fnr = outcur[w][0] - 0.5f*pnr - di; // real next
fnr = fpr - di - di; //v1.8.1
fpi = outcur[w][1] - 0.5f*pni + dr; // im prev
// fni = outcur[w][1] - 0.5f*pni - dr ; // im next
fni = fpi - dr - dr; //v1.8.1
psd = fcr * fcr + fci * fci + 1e-15f; // power spectrum density cur
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
fcr *= WienerFactor; // apply filter on real part
fci *= WienerFactor; // apply filter on imaginary part
psd = fpr * fpr + fpi * fpi + 1e-15f; // power spectrum density prev
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
fpr *= WienerFactor; // apply filter on real part
fpi *= WienerFactor; // apply filter on imaginary part
psd = fnr * fnr + fni * fni + 1e-15f; // power spectrum density next
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
fnr *= WienerFactor; // apply filter on real part
fni *= WienerFactor; // apply filter on imaginary part
// reverse dft for 3 points
outprev[w][0] = (fcr + fpr + fnr)*0.33333333333f; // get real part
outprev[w][1] = (fci + fpi + fni)*0.33333333333f; // get imaginary part
// Attention! return filtered "out" in "outprev" to preserve "out" for next step
}
outcur += outpitch;
outprev += outpitch;
outnext += outpitch;
}
}
}
void WienerFilter::ApplyWiener3D3_degrid_AVX512() noexcept
{
// dft 3d (very short - 3 points)
float fcr(0.0f), fci(0.0f), fpr(0.0f), fpi(0.0f), fnr(0.0f), fni(0.0f);
float WienerFactor(0.0f), psd(0.0f);
constexpr float sin120 = 0.86602540378443864676372317075294f;//sqrtf(3.0f)*0.5f;
int w(0);
const int outwidth8 = outwidth - outwidth % 8;
for (int block = start_block; block < blocks; block++)
{
const float gridfraction = degrid * outcur[0][0] / gridsample[0][0];
const __m512 gridfraction8 = _mm512_set1_ps(gridfraction);
for (int h = 0; h < bh; h++) // first half
{
__m512 r2 = _mm512_load_ps(outnext[0]);
__m512 r3 = _mm512_load_ps(outcur[0]);
for (w = 0; w < outwidth8; w = w + 8) //
{
__m512 gridcorrection = _mm512_mul_ps(gridfraction8, _mm512_load_ps(gridsample[w])); //gridcorrection
gridcorrection = _mm512_mul_ps(gridcorrection, _mm512_set1_ps(3.0f));
__m512 r1 = _mm512_load_ps(outprev[w]);
const __m512 pn8 = _mm512_add_ps(r1, r2); //r,i,r,i
__m512 fc8 = _mm512_add_ps(pn8, r3); //r,i,r,i
fc8 = _mm512_sub_ps(fc8, gridcorrection);
__m512 d8 = _mm512_sub_ps(r1, r2); //r,i,r,i!
d8 = _mm512_mask_sub_ps(d8, 0XFF, r2, r1); //r,i,r,i!
d8 = _mm512_mul_ps(d8, _mm512_set1_ps(sin120));
d8 = _mm512_permute_ps(d8, _MM_SHUFFLE(2, 3, 0, 1));
r1 = _mm512_fmadd_ps(pn8, _mm512_set1_ps(-0.5f), r3);
__m512 fp8 = _mm512_add_ps(r1, d8);
__m512 fn8 = _mm512_sub_ps(r1, d8);
__m512 psdc8 = _mm512_mul_ps(fc8, fc8);
__m512 psdp8 = _mm512_mul_ps(fp8, fp8);
__m512 psdn8 = _mm512_mul_ps(fn8, fn8);
r1 = _mm512_shuffle_ps(psdc8, psdc8, _MM_SHUFFLE(0, 3, 0, 1));//psd,-,psd,-
r2 = _mm512_shuffle_ps(psdp8, psdp8, _MM_SHUFFLE(0, 3, 0, 1));
r3 = _mm512_shuffle_ps(psdn8, psdn8, _MM_SHUFFLE(0, 3, 0, 1));
psdc8 = _mm512_add_ps(psdc8, r1);
psdp8 = _mm512_add_ps(psdp8, r2);
psdn8 = _mm512_add_ps(psdn8, r3);
psdc8 = _mm512_add_ps(psdc8, _mm512_set1_ps(1e-15f));
psdp8 = _mm512_add_ps(psdp8, _mm512_set1_ps(1e-15f));
psdn8 = _mm512_add_ps(psdn8, _mm512_set1_ps(1e-15f));
r1 = _mm512_sub_ps(psdc8, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r2 = _mm512_sub_ps(psdp8, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r3 = _mm512_sub_ps(psdn8, _mm512_set1_ps(sigmaSquaredNoiseNormed));
r1 = _mm512_div_ps(r1, psdc8);
r2 = _mm512_div_ps(r2, psdp8);
r3 = _mm512_div_ps(r3, psdn8);
r1 = _mm512_max_ps(r1, _mm512_set1_ps(lowlimit));
r2 = _mm512_max_ps(r2, _mm512_set1_ps(lowlimit));
r3 = _mm512_max_ps(r3, _mm512_set1_ps(lowlimit));
fc8 = _mm512_mul_ps(_mm512_moveldup_ps(r1), fc8);
fp8 = _mm512_mul_ps(_mm512_moveldup_ps(r2), fp8);
fn8 = _mm512_mul_ps(_mm512_moveldup_ps(r3), fn8);
r1 = _mm512_add_ps(fc8, fp8);
r1 = _mm512_add_ps(r1, fn8);
r2 = _mm512_load_ps(outnext[w + 8]);
r3 = _mm512_load_ps(outcur[w + 8]);
r1 = _mm512_add_ps(r1, gridcorrection);
r1 = _mm512_mul_ps(r1, _mm512_set1_ps(0.33333333333f));
_mm512_store_ps(outprev[w], r1);
}
_mm_prefetch((const char*)(outprev + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(outnext + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(gridsample + outpitch), _MM_HINT_T0);
for (; w < outwidth; w++) //
{
float gridcorrection0_3 = gridfraction * gridsample[w][0] * 3;
float gridcorrection1_3 = gridfraction * gridsample[w][1] * 3;
const float pnr = outprev[w][0] + outnext[w][0];
const float pni = outprev[w][1] + outnext[w][1];
fcr = outcur[w][0] + pnr; // real cur
fcr -= gridcorrection0_3;
fci = outcur[w][1] + pni; // im cur
fci -= gridcorrection1_3;
const float di = sin120 * (outprev[w][1] - outnext[w][1]);
const float dr = sin120 * (outnext[w][0] - outprev[w][0]);
fpr = outcur[w][0] - 0.5f*pnr + di; // real prev
fnr = outcur[w][0] - 0.5f*pnr - di; // real next
fpi = outcur[w][1] - 0.5f*pni + dr; // im prev
fni = outcur[w][1] - 0.5f*pni - dr; // im next
psd = fcr * fcr + fci * fci + 1e-15f; // power spectrum density cur
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
fcr *= WienerFactor; // apply filter on real part
fci *= WienerFactor; // apply filter on imaginary part
psd = fpr * fpr + fpi * fpi + 1e-15f; // power spectrum density prev
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
fpr *= WienerFactor; // apply filter on real part
fpi *= WienerFactor; // apply filter on imaginary part
psd = fnr * fnr + fni * fni + 1e-15f; // power spectrum density next
WienerFactor = max((psd - sigmaSquaredNoiseNormed) / psd, lowlimit); // limited Wiener filter
fnr *= WienerFactor; // apply filter on real part
fni *= WienerFactor; // apply filter on imaginary part
// reverse dft for 3 points
outprev[w][0] = (fcr + fpr + fnr + gridcorrection0_3)*0.33333333333f; // get real part
outprev[w][1] = (fci + fpi + fni + gridcorrection1_3)*0.33333333333f; // get imaginary part
// Attention! return filtered "out" in "outprev" to preserve "out" for next step
}
outcur += outpitch;
outprev += outpitch;
outnext += outpitch;
gridsample += outpitch;
}
gridsample -= outpitch * bh; // restore pointer to only valid first block
}
}
void WienerFilter::ApplyWiener3D4_AVX512() noexcept
{
// dft with 4 points
float fcr(0.0f), fci(0.0f), fpr(0.0f), fpi(0.0f), fnr(0.0f), fni(0.0f), fp2r(0.0f), fp2i(0.0f);
float WienerFactor(0.0f), psd(0.0f);
int w(0);
const int outwidth8 = outwidth - outwidth % 8;
const __m512 sigmaSquaredNoiseNormed8 = _mm512_set1_ps(sigmaSquaredNoiseNormed);
const __m512 lowlimit8 = _mm512_set1_ps(lowlimit);
constexpr __mmask16 k1 = 0x5555;
constexpr __mmask16 k2 = 0xAAAA;
for (int block = start_block; block < blocks; block++)
{
for (int h = 0; h < bh; h++) // first half
{
__m512 r3 = _mm512_load_ps(&outcur[0][0]);
__m512 r4 = _mm512_load_ps(&outnext[0][0]);
for (w = 0; w < outwidth8; w = w + 8)
{
__m512 r1 = _mm512_load_ps(&outprev2[w][0]);
__m512 r2 = _mm512_load_ps(&outprev[w][0]);
//outcur[w][0] - outnext[w][1] - outprev2[w][0] + outprev[w][1]
//outcur[w][1] + outnext[w][0] - outprev2[w][1] - outprev[w][0]
__m512 r5 = _mm512_permute_ps(r4, _MM_SHUFFLE(1, 0, 3, 2)); //r5: swapped outnext
__m512 r6 = _mm512_permute_ps(r2, _MM_SHUFFLE(1, 0, 3, 2)); //r6: swapped outprev
__m512 r8 = _mm512_add_ps(r3, r5);
__m512 r7 = _mm512_mask_sub_ps(r8, k1, r3, r5);//outcur + outnext
r7 = _mm512_sub_ps(r7, r1); //-outprev2
r8 = _mm512_add_ps(r7, r6);
r7 = _mm512_mask_sub_ps(r8, k1, r7, r6);
//outcur[w][0] + outnext[w][1] - outprev2[w][0] - outprev[w][1]
//outcur[w][1] - outnext[w][0] - outprev2[w][1] + outprev[w][0]
r8 = _mm512_maskz_add_ps(k1, r3, r5);
r8 = _mm512_mask_sub_ps(r8, k2, r3, r5);
r8 = _mm512_sub_ps(r8, r1); //-outprev2
r5 = _mm512_add_ps(r8, r6);
r8 = _mm512_mask_sub_ps(r5, k2, r8, r6);
r5 = _mm512_add_ps(r1, r2);
r6 = _mm512_add_ps(r3, r4);
r5 = _mm512_add_ps(r5, r6); // fcr1, fci1, fcr2, fci2
r1 = _mm512_sub_ps(r1, r2);
r2 = _mm512_sub_ps(r3, r4);
r6 = _mm512_add_ps(r1, r2); // fp2r1, fp2i1, fp2r2, fp2i2
//r7: fpr1, fpi1, fpr2, fpi2
//r8: fnr1, fni1, fnr2, fni2
//r5: fcr1, fci1, fcr2, fci2
//r6: fp2r1, fp2i1, fp2r2, fp2i2
r1 = _mm512_mul_ps(r7, r7);
r2 = _mm512_mul_ps(r8, r8);
r3 = _mm512_mul_ps(r5, r5);
r4 = _mm512_mul_ps(r6, r6);
const __m512 sh1 = _mm512_shuffle_ps(r1, r2, _MM_SHUFFLE(2, 0, 2, 0));
const __m512 sh2 = _mm512_shuffle_ps(r1, r2, _MM_SHUFFLE(3, 1, 3, 1));
const __m512 sh3 = _mm512_shuffle_ps(r3, r4, _MM_SHUFFLE(2, 0, 2, 0));
const __m512 sh4 = _mm512_shuffle_ps(r3, r4, _MM_SHUFFLE(3, 1, 3, 1));
r1 = _mm512_add_ps(sh1, sh2);
r2 = _mm512_add_ps(sh3, sh4);
r1 = _mm512_add_ps(r1, _mm512_set1_ps(1e-15f));
r2 = _mm512_add_ps(r2, _mm512_set1_ps(1e-15f));
//r1: psd_fp1, psd_fp2, psd_fn1, psd_fn2
//r2: psd_fc1, psd_fc2, psd_fp2_1, psd_fp2_2
r3 = _mm512_sub_ps(r1, sigmaSquaredNoiseNormed8);
r4 = _mm512_sub_ps(r2, sigmaSquaredNoiseNormed8);
r1 = _mm512_div_ps(r3, r1);
r2 = _mm512_div_ps(r4, r2);
r1 = _mm512_max_ps(r1, lowlimit8);
r2 = _mm512_max_ps(r2, lowlimit8);
//r1: wf_fp1, wf_fp2, wf_fn1, wf_fn2
//r2: wf_fc1, wf_fc2, wf_fp2_1, wf_fp2_2
//r5: fcr1, fci1, fcr2, fci2 ; fc1, fc2
//r6: fp2r1, fp2i1, fp2r2, fp2i2 ; fp2_1, fp2_2
//r7: fpr1, fpi1, fpr2, fpi2 ; fp1, fp2
//r8: fnr1, fni1, fnr2, fni2 ; fn1, fn2
r8 = _mm512_mul_ps(r8, _mm512_unpackhi_ps(r1, r1));
r6 = _mm512_mul_ps(r6, _mm512_unpackhi_ps(r2, r2));
r6 = _mm512_fmadd_ps(r5, _mm512_unpacklo_ps(r2, r2), r6);
r8 = _mm512_fmadd_ps(r7, _mm512_unpacklo_ps(r1, r1), r8);
r3 = _mm512_load_ps(&outcur[w + 8][0]);
r4 = _mm512_load_ps(&outnext[w + 8][0]);
r6 = _mm512_add_ps(r6, r8);
r6 = _mm512_mul_ps(r6, _mm512_set1_ps(0.25f));
_mm512_store_ps(&outprev2[w][0], r6);
// Attention! return filtered "out" in "outprev2" to preserve "out" for next step
}
_mm_prefetch((const char*)(outprev2 + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(outprev + outpitch), _MM_HINT_T0);
_mm_prefetch((const char*)(outcur + outpitch), _MM_HINT_T0);