2016-01-18 23:56:02 +01:00

1302 lines
49 KiB
C++

/*
* This file is part of RawTherapee.
*
* Copyright (c) 2004-2010 Gabor Horvath <hgabor@rawtherapee.com>
*
* RawTherapee is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* RawTherapee 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 RawTherapee. If not, see <http://www.gnu.org/licenses/>.
*/
#include "gauss.h"
#include <cmath>
#include <cstdlib>
#include "opthelper.h"
#include "boxblur.h"
namespace
{
template<class T> void calculateYvVFactors( const T sigma, T &b1, T &b2, T &b3, T &B, T M[3][3])
{
// coefficient calculation
T q;
if (sigma < 2.5) {
q = 3.97156 - 4.14554 * sqrt (1.0 - 0.26891 * sigma);
} else {
q = 0.98711 * sigma - 0.96330;
}
T b0 = 1.57825 + 2.44413 * q + 1.4281 * q * q + 0.422205 * q * q * q;
b1 = 2.44413 * q + 2.85619 * q * q + 1.26661 * q * q * q;
b2 = -1.4281 * q * q - 1.26661 * q * q * q;
b3 = 0.422205 * q * q * q;
B = 1.0 - (b1 + b2 + b3) / b0;
b1 /= b0;
b2 /= b0;
b3 /= b0;
// From: Bill Triggs, Michael Sdika: Boundary Conditions for Young-van Vliet Recursive Filtering
M[0][0] = -b3 * b1 + 1.0 - b3 * b3 - b2;
M[0][1] = (b3 + b1) * (b2 + b3 * b1);
M[0][2] = b3 * (b1 + b3 * b2);
M[1][0] = b1 + b3 * b2;
M[1][1] = -(b2 - 1.0) * (b2 + b3 * b1);
M[1][2] = -(b3 * b1 + b3 * b3 + b2 - 1.0) * b3;
M[2][0] = b3 * b1 + b2 + b1 * b1 - b2 * b2;
M[2][1] = b1 * b2 + b3 * b2 * b2 - b1 * b3 * b3 - b3 * b3 * b3 - b3 * b2 + b3;
M[2][2] = b3 * (b1 + b3 * b2);
}
// classical filtering if the support window is small and src != dst
template<class T> void gauss3x3 (T** RESTRICT src, T** RESTRICT dst, const int W, const int H, const T c0, const T c1, const T c2, const T b0, const T b1)
{
// first row
#ifdef _OPENMP
#pragma omp single nowait
#endif
{
dst[0][0] = src[0][0];
for (int j = 1; j < W - 1; j++)
{
dst[0][j] = b1 * (src[0][j - 1] + src[0][j + 1]) + b0 * src[0][j];
}
dst[0][W - 1] = src[0][W - 1];
}
#ifdef _OPENMP
#pragma omp for nowait
#endif
for (int i = 1; i < H - 1; i++) {
dst[i][0] = b1 * (src[i - 1][0] + src[i + 1][0]) + b0 * src[i][0];
for (int j = 1; j < W - 1; j++) {
dst[i][j] = c2 * (src[i - 1][j - 1] + src[i - 1][j + 1] + src[i + 1][j - 1] + src[i + 1][j + 1]) + c1 * (src[i - 1][j] + src[i][j - 1] + src[i][j + 1] + src[i + 1][j]) + c0 * src[i][j];
}
dst[i][W - 1] = b1 * (src[i - 1][W - 1] + src[i + 1][W - 1]) + b0 * src[i][W - 1];
}
// last row
#ifdef _OPENMP
#pragma omp single
#endif
{
dst[H - 1][0] = src[H - 1][0];
for (int j = 1; j < W - 1; j++) {
dst[H - 1][j] = b1 * (src[H - 1][j - 1] + src[H - 1][j + 1]) + b0 * src[H - 1][j];
}
dst[H - 1][W - 1] = src[H - 1][W - 1];
}
}
// classical filtering if the support window is small and src != dst
template<class T> void gauss3x3mult (T** RESTRICT src, T** RESTRICT dst, const int W, const int H, const T c0, const T c1, const T c2, const T b0, const T b1)
{
// first row
#ifdef _OPENMP
#pragma omp single nowait
#endif
{
dst[0][0] *= src[0][0];
for (int j = 1; j < W - 1; j++)
{
dst[0][j] *= b1 * (src[0][j - 1] + src[0][j + 1]) + b0 * src[0][j];
}
dst[0][W - 1] *= src[0][W - 1];
}
#ifdef _OPENMP
#pragma omp for nowait
#endif
for (int i = 1; i < H - 1; i++) {
dst[i][0] *= b1 * (src[i - 1][0] + src[i + 1][0]) + b0 * src[i][0];
for (int j = 1; j < W - 1; j++) {
dst[i][j] *= c2 * (src[i - 1][j - 1] + src[i - 1][j + 1] + src[i + 1][j - 1] + src[i + 1][j + 1]) + c1 * (src[i - 1][j] + src[i][j - 1] + src[i][j + 1] + src[i + 1][j]) + c0 * src[i][j];
}
dst[i][W - 1] *= b1 * (src[i - 1][W - 1] + src[i + 1][W - 1]) + b0 * src[i][W - 1];
}
// last row
#ifdef _OPENMP
#pragma omp single
#endif
{
dst[H - 1][0] *= src[H - 1][0];
for (int j = 1; j < W - 1; j++) {
dst[H - 1][j] *= b1 * (src[H - 1][j - 1] + src[H - 1][j + 1]) + b0 * src[H - 1][j];
}
dst[H - 1][W - 1] *= src[H - 1][W - 1];
}
}
template<class T> void gauss3x3div (T** RESTRICT src, T** RESTRICT dst, T** RESTRICT divBuffer, const int W, const int H, const T c0, const T c1, const T c2, const T b0, const T b1)
{
// first row
#ifdef _OPENMP
#pragma omp single nowait
#endif
{
dst[0][0] = divBuffer[0][0] / (src[0][0] > 0.f ? src[0][0] : 1.f);
for (int j = 1; j < W - 1; j++)
{
float tmp = (b1 * (src[0][j - 1] + src[0][j + 1]) + b0 * src[0][j]);
dst[0][j] = divBuffer[0][j] / (tmp > 0.f ? tmp : 1.f);
}
dst[0][W - 1] = divBuffer[0][W - 1] / (src[0][W - 1] > 0.f ? src[0][W - 1] : 1.f);
}
#ifdef _OPENMP
#pragma omp for nowait
#endif
for (int i = 1; i < H - 1; i++) {
float tmp = (b1 * (src[i - 1][0] + src[i + 1][0]) + b0 * src[i][0]);
dst[i][0] = divBuffer[i][0] / (tmp > 0.f ? tmp : 1.f);
for (int j = 1; j < W - 1; j++) {
tmp = (c2 * (src[i - 1][j - 1] + src[i - 1][j + 1] + src[i + 1][j - 1] + src[i + 1][j + 1]) + c1 * (src[i - 1][j] + src[i][j - 1] + src[i][j + 1] + src[i + 1][j]) + c0 * src[i][j]);
dst[i][j] = divBuffer[i][j] / (tmp > 0.f ? tmp : 1.f);
}
tmp = (b1 * (src[i - 1][W - 1] + src[i + 1][W - 1]) + b0 * src[i][W - 1]);
dst[i][W - 1] = divBuffer[i][W - 1] / (tmp > 0.f ? tmp : 1.f);
}
// last row
#ifdef _OPENMP
#pragma omp single
#endif
{
dst[H - 1][0] = divBuffer[H - 1][0] / (src[H - 1][0] > 0.f ? src[H - 1][0] : 1.f);
for (int j = 1; j < W - 1; j++) {
float tmp = (b1 * (src[H - 1][j - 1] + src[H - 1][j + 1]) + b0 * src[H - 1][j]);
dst[H - 1][j] = divBuffer[H - 1][W] / (tmp > 0.f ? tmp : 1.f);
}
dst[H - 1][W - 1] = divBuffer[H - 1][W - 1] / (src[H - 1][W - 1] > 0.f ? src[H - 1][W - 1] : 1.f);
}
}
// use separated filter if the support window is small and src == dst
template<class T> void gaussHorizontal3 (T** src, T** dst, int W, int H, const float c0, const float c1)
{
T temp[W] ALIGNED16;
#ifdef _OPENMP
#pragma omp for
#endif
for (int i = 0; i < H; i++) {
for (int j = 1; j < W - 1; j++) {
temp[j] = (T)(c1 * (src[i][j - 1] + src[i][j + 1]) + c0 * src[i][j]);
}
dst[i][0] = src[i][0];
memcpy (dst[i] + 1, temp + 1, (W - 2)*sizeof(T));
dst[i][W - 1] = src[i][W - 1];
}
}
#ifdef __SSE2__
template<class T> SSEFUNCTION void gaussVertical3 (T** src, T** dst, int W, int H, const float c0, const float c1)
{
vfloat Tv, Tm1v, Tp1v;
vfloat Tv1, Tm1v1, Tp1v1;
vfloat c0v, c1v;
c0v = F2V(c0);
c1v = F2V(c1);
#ifdef _OPENMP
#pragma omp for nowait
#endif
// process 8 columns per iteration for better usage of cpu cache
for (int i = 0; i < W - 7; i += 8) {
Tm1v = LVFU( src[0][i] );
Tm1v1 = LVFU( src[0][i + 4] );
STVFU( dst[0][i], Tm1v);
STVFU( dst[0][i + 4], Tm1v1);
if (H > 1) {
Tv = LVFU( src[1][i]);
Tv1 = LVFU( src[1][i + 4]);
}
for (int j = 1; j < H - 1; j++) {
Tp1v = LVFU( src[j + 1][i]);
Tp1v1 = LVFU( src[j + 1][i + 4]);
STVFU( dst[j][i], c1v * (Tp1v + Tm1v) + Tv * c0v);
STVFU( dst[j][i + 4], c1v * (Tp1v1 + Tm1v1) + Tv1 * c0v);
Tm1v = Tv;
Tm1v1 = Tv1;
Tv = Tp1v;
Tv1 = Tp1v1;
}
STVFU( dst[H - 1][i], LVFU( src[H - 1][i]));
STVFU( dst[H - 1][i + 4], LVFU( src[H - 1][i + 4]));
}
// Borders are done without SSE
float temp[H] ALIGNED16;
#ifdef _OPENMP
#pragma omp single
#endif
for (int i = W - (W % 8); i < W; i++) {
for (int j = 1; j < H - 1; j++) {
temp[j] = c1 * (src[j - 1][i] + src[j + 1][i]) + c0 * src[j][i];
}
dst[0][i] = src[0][i];
for (int j = 1; j < H - 1; j++) {
dst[j][i] = temp[j];
}
dst[H - 1][i] = src[H - 1][i];
}
}
#else
template<class T> void gaussVertical3 (T** src, T** dst, int W, int H, const float c0, const float c1)
{
T temp[H] ALIGNED16;
#ifdef _OPENMP
#pragma omp for
#endif
for (int i = 0; i < W; i++) {
for (int j = 1; j < H - 1; j++) {
temp[j] = (T)(c1 * (src[j - 1][i] + src[j + 1][i]) + c0 * src[j][i]);
}
dst[0][i] = src[0][i];
for (int j = 1; j < H - 1; j++) {
dst[j][i] = temp[j];
}
dst[H - 1][i] = src[H - 1][i];
}
}
#endif
#ifdef __SSE2__
// fast gaussian approximation if the support window is large
template<class T> SSEFUNCTION void gaussHorizontalSse (T** src, T** dst, const int W, const int H, const float sigma)
{
double b1, b2, b3, B, M[3][3];
calculateYvVFactors<double>(sigma, b1, b2, b3, B, M);
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++) {
M[i][j] *= (1.0 + b2 + (b1 - b3) * b3);
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 - b1 - b2 - b3);
}
vfloat Rv;
vfloat Tv, Tm2v, Tm3v;
vfloat Bv, b1v, b2v, b3v;
vfloat temp2W, temp2Wp1;
float tmp[W][4] ALIGNED16;
Bv = F2V(B);
b1v = F2V(b1);
b2v = F2V(b2);
b3v = F2V(b3);
#ifdef _OPENMP
#pragma omp for nowait
#endif
for (int i = 0; i < H - 3; i += 4) {
Tv = _mm_set_ps(src[i][0], src[i + 1][0], src[i + 2][0], src[i + 3][0]);
Tm3v = Tv * (Bv + b1v + b2v + b3v);
STVF( tmp[0][0], Tm3v );
Tm2v = _mm_set_ps(src[i][1], src[i + 1][1], src[i + 2][1], src[i + 3][1]) * Bv + Tm3v * b1v + Tv * (b2v + b3v);
STVF( tmp[1][0], Tm2v );
Rv = _mm_set_ps(src[i][2], src[i + 1][2], src[i + 2][2], src[i + 3][2]) * Bv + Tm2v * b1v + Tm3v * b2v + Tv * b3v;
STVF( tmp[2][0], Rv );
for (int j = 3; j < W; j++) {
Tv = Rv;
Rv = _mm_set_ps(src[i][j], src[i + 1][j], src[i + 2][j], src[i + 3][j]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
STVF( tmp[j][0], Rv );
Tm3v = Tm2v;
Tm2v = Tv;
}
Tv = _mm_set_ps(src[i][W - 1], src[i + 1][W - 1], src[i + 2][W - 1], src[i + 3][W - 1]);
temp2Wp1 = Tv + F2V(M[2][0]) * (Rv - Tv) + F2V(M[2][1]) * ( Tm2v - Tv ) + F2V(M[2][2]) * (Tm3v - Tv);
temp2W = Tv + F2V(M[1][0]) * (Rv - Tv) + F2V(M[1][1]) * (Tm2v - Tv) + F2V(M[1][2]) * (Tm3v - Tv);
Rv = Tv + F2V(M[0][0]) * (Rv - Tv) + F2V(M[0][1]) * (Tm2v - Tv) + F2V(M[0][2]) * (Tm3v - Tv);
STVF(tmp[W - 1][0], Rv);
Tm2v = Bv * Tm2v + b1v * Rv + b2v * temp2W + b3v * temp2Wp1;
STVF(tmp[W - 2][0], Tm2v);
Tm3v = Bv * Tm3v + b1v * Tm2v + b2v * Rv + b3v * temp2W;
STVF(tmp[W - 3][0], Tm3v);
Tv = Rv;
Rv = Tm3v;
Tm3v = Tv;
for (int j = W - 4; j >= 0; j--) {
Tv = Rv;
Rv = LVF(tmp[j][0]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
STVF(tmp[j][0], Rv);
Tm3v = Tm2v;
Tm2v = Tv;
}
for (int j = 0; j < W; j++) {
dst[i + 3][j] = tmp[j][0];
dst[i + 2][j] = tmp[j][1];
dst[i + 1][j] = tmp[j][2];
dst[i + 0][j] = tmp[j][3];
}
}
// Borders are done without SSE
#ifdef _OPENMP
#pragma omp single
#endif
for (int i = H - (H % 4); i < H; i++) {
tmp[0][0] = src[i][0] * (B + b1 + b2 + b3);
tmp[1][0] = B * src[i][1] + b1 * tmp[0][0] + src[i][0] * (b2 + b3);
tmp[2][0] = B * src[i][2] + b1 * tmp[1][0] + b2 * tmp[0][0] + b3 * src[i][0];
for (int j = 3; j < W; j++) {
tmp[j][0] = B * src[i][j] + b1 * tmp[j - 1][0] + b2 * tmp[j - 2][0] + b3 * tmp[j - 3][0];
}
float temp2Wm1 = src[i][W - 1] + M[0][0] * (tmp[W - 1][0] - src[i][W - 1]) + M[0][1] * (tmp[W - 2][0] - src[i][W - 1]) + M[0][2] * (tmp[W - 3][0] - src[i][W - 1]);
float temp2W = src[i][W - 1] + M[1][0] * (tmp[W - 1][0] - src[i][W - 1]) + M[1][1] * (tmp[W - 2][0] - src[i][W - 1]) + M[1][2] * (tmp[W - 3][0] - src[i][W - 1]);
float temp2Wp1 = src[i][W - 1] + M[2][0] * (tmp[W - 1][0] - src[i][W - 1]) + M[2][1] * (tmp[W - 2][0] - src[i][W - 1]) + M[2][2] * (tmp[W - 3][0] - src[i][W - 1]);
tmp[W - 1][0] = temp2Wm1;
tmp[W - 2][0] = B * tmp[W - 2][0] + b1 * tmp[W - 1][0] + b2 * temp2W + b3 * temp2Wp1;
tmp[W - 3][0] = B * tmp[W - 3][0] + b1 * tmp[W - 2][0] + b2 * tmp[W - 1][0] + b3 * temp2W;
for (int j = W - 4; j >= 0; j--) {
tmp[j][0] = B * tmp[j][0] + b1 * tmp[j + 1][0] + b2 * tmp[j + 2][0] + b3 * tmp[j + 3][0];
}
for (int j = 0; j < W; j++) {
dst[i][j] = tmp[j][0];
}
}
}
#endif
// fast gaussian approximation if the support window is large
template<class T> void gaussHorizontal (T** src, T** dst, const int W, const int H, const double sigma)
{
double b1, b2, b3, B, M[3][3];
calculateYvVFactors<double>(sigma, b1, b2, b3, B, M);
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++) {
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 + b2 + (b1 - b3) * b3);
}
double temp2[W] ALIGNED16;
#ifdef _OPENMP
#pragma omp for
#endif
for (int i = 0; i < H; i++) {
temp2[0] = B * src[i][0] + b1 * src[i][0] + b2 * src[i][0] + b3 * src[i][0];
temp2[1] = B * src[i][1] + b1 * temp2[0] + b2 * src[i][0] + b3 * src[i][0];
temp2[2] = B * src[i][2] + b1 * temp2[1] + b2 * temp2[0] + b3 * src[i][0];
for (int j = 3; j < W; j++) {
temp2[j] = B * src[i][j] + b1 * temp2[j - 1] + b2 * temp2[j - 2] + b3 * temp2[j - 3];
}
double temp2Wm1 = src[i][W - 1] + M[0][0] * (temp2[W - 1] - src[i][W - 1]) + M[0][1] * (temp2[W - 2] - src[i][W - 1]) + M[0][2] * (temp2[W - 3] - src[i][W - 1]);
double temp2W = src[i][W - 1] + M[1][0] * (temp2[W - 1] - src[i][W - 1]) + M[1][1] * (temp2[W - 2] - src[i][W - 1]) + M[1][2] * (temp2[W - 3] - src[i][W - 1]);
double temp2Wp1 = src[i][W - 1] + M[2][0] * (temp2[W - 1] - src[i][W - 1]) + M[2][1] * (temp2[W - 2] - src[i][W - 1]) + M[2][2] * (temp2[W - 3] - src[i][W - 1]);
temp2[W - 1] = temp2Wm1;
temp2[W - 2] = B * temp2[W - 2] + b1 * temp2[W - 1] + b2 * temp2W + b3 * temp2Wp1;
temp2[W - 3] = B * temp2[W - 3] + b1 * temp2[W - 2] + b2 * temp2[W - 1] + b3 * temp2W;
for (int j = W - 4; j >= 0; j--) {
temp2[j] = B * temp2[j] + b1 * temp2[j + 1] + b2 * temp2[j + 2] + b3 * temp2[j + 3];
}
for (int j = 0; j < W; j++) {
dst[i][j] = (T)temp2[j];
}
}
}
#ifdef __SSE2__
template<class T> SSEFUNCTION void gaussVerticalSse (T** src, T** dst, const int W, const int H, const float sigma)
{
double b1, b2, b3, B, M[3][3];
calculateYvVFactors<double>(sigma, b1, b2, b3, B, M);
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++) {
M[i][j] *= (1.0 + b2 + (b1 - b3) * b3);
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 - b1 - b2 - b3);
}
float tmp[H][8] ALIGNED16;
vfloat Rv;
vfloat Tv, Tm2v, Tm3v;
vfloat Rv1;
vfloat Tv1, Tm2v1, Tm3v1;
vfloat Bv, b1v, b2v, b3v;
vfloat temp2W, temp2Wp1;
vfloat temp2W1, temp2Wp11;
Bv = F2V(B);
b1v = F2V(b1);
b2v = F2V(b2);
b3v = F2V(b3);
#ifdef _OPENMP
#pragma omp for nowait
#endif
// process 8 columns per iteration for better usage of cpu cache
for (int i = 0; i < W - 7; i += 8) {
Tv = LVFU( src[0][i]);
Tv1 = LVFU( src[0][i + 4]);
Rv = Tv * (Bv + b1v + b2v + b3v);
Rv1 = Tv1 * (Bv + b1v + b2v + b3v);
Tm3v = Rv;
Tm3v1 = Rv1;
STVF( tmp[0][0], Rv );
STVF( tmp[0][4], Rv1 );
Rv = LVFU(src[1][i]) * Bv + Rv * b1v + Tv * (b2v + b3v);
Rv1 = LVFU(src[1][i + 4]) * Bv + Rv1 * b1v + Tv1 * (b2v + b3v);
Tm2v = Rv;
Tm2v1 = Rv1;
STVF( tmp[1][0], Rv );
STVF( tmp[1][4], Rv1 );
Rv = LVFU(src[2][i]) * Bv + Rv * b1v + Tm3v * b2v + Tv * b3v;
Rv1 = LVFU(src[2][i + 4]) * Bv + Rv1 * b1v + Tm3v1 * b2v + Tv1 * b3v;
STVF( tmp[2][0], Rv );
STVF( tmp[2][4], Rv1 );
for (int j = 3; j < H; j++) {
Tv = Rv;
Tv1 = Rv1;
Rv = LVFU(src[j][i]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
Rv1 = LVFU(src[j][i + 4]) * Bv + Tv1 * b1v + Tm2v1 * b2v + Tm3v1 * b3v;
STVF( tmp[j][0], Rv );
STVF( tmp[j][4], Rv1 );
Tm3v = Tm2v;
Tm3v1 = Tm2v1;
Tm2v = Tv;
Tm2v1 = Tv1;
}
Tv = LVFU(src[H - 1][i]);
Tv1 = LVFU(src[H - 1][i + 4]);
temp2Wp1 = Tv + F2V(M[2][0]) * (Rv - Tv) + F2V(M[2][1]) * (Tm2v - Tv) + F2V(M[2][2]) * (Tm3v - Tv);
temp2Wp11 = Tv1 + F2V(M[2][0]) * (Rv1 - Tv1) + F2V(M[2][1]) * (Tm2v1 - Tv1) + F2V(M[2][2]) * (Tm3v1 - Tv1);
temp2W = Tv + F2V(M[1][0]) * (Rv - Tv) + F2V(M[1][1]) * (Tm2v - Tv) + F2V(M[1][2]) * (Tm3v - Tv);
temp2W1 = Tv1 + F2V(M[1][0]) * (Rv1 - Tv1) + F2V(M[1][1]) * (Tm2v1 - Tv1) + F2V(M[1][2]) * (Tm3v1 - Tv1);
Rv = Tv + F2V(M[0][0]) * (Rv - Tv) + F2V(M[0][1]) * (Tm2v - Tv) + F2V(M[0][2]) * (Tm3v - Tv);
Rv1 = Tv1 + F2V(M[0][0]) * (Rv1 - Tv1) + F2V(M[0][1]) * (Tm2v1 - Tv1) + F2V(M[0][2]) * (Tm3v1 - Tv1);
STVFU( dst[H - 1][i], Rv );
STVFU( dst[H - 1][i + 4], Rv1 );
Tm2v = Bv * Tm2v + b1v * Rv + b2v * temp2W + b3v * temp2Wp1;
Tm2v1 = Bv * Tm2v1 + b1v * Rv1 + b2v * temp2W1 + b3v * temp2Wp11;
STVFU( dst[H - 2][i], Tm2v );
STVFU( dst[H - 2][i + 4], Tm2v1 );
Tm3v = Bv * Tm3v + b1v * Tm2v + b2v * Rv + b3v * temp2W;
Tm3v1 = Bv * Tm3v1 + b1v * Tm2v1 + b2v * Rv1 + b3v * temp2W1;
STVFU( dst[H - 3][i], Tm3v );
STVFU( dst[H - 3][i + 4], Tm3v1 );
Tv = Rv;
Tv1 = Rv1;
Rv = Tm3v;
Rv1 = Tm3v1;
Tm3v = Tv;
Tm3v1 = Tv1;
for (int j = H - 4; j >= 0; j--) {
Tv = Rv;
Tv1 = Rv1;
Rv = LVF(tmp[j][0]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
Rv1 = LVF(tmp[j][4]) * Bv + Tv1 * b1v + Tm2v1 * b2v + Tm3v1 * b3v;
STVFU( dst[j][i], Rv );
STVFU( dst[j][i + 4], Rv1 );
Tm3v = Tm2v;
Tm3v1 = Tm2v1;
Tm2v = Tv;
Tm2v1 = Tv1;
}
}
// Borders are done without SSE
#ifdef _OPENMP
#pragma omp single
#endif
for (int i = W - (W % 8); i < W; i++) {
tmp[0][0] = src[0][i] * (B + b1 + b2 + b3);
tmp[1][0] = B * src[1][i] + b1 * tmp[0][0] + src[0][i] * (b2 + b3);
tmp[2][0] = B * src[2][i] + b1 * tmp[1][0] + b2 * tmp[0][0] + b3 * src[0][i];
for (int j = 3; j < H; j++) {
tmp[j][0] = B * src[j][i] + b1 * tmp[j - 1][0] + b2 * tmp[j - 2][0] + b3 * tmp[j - 3][0];
}
float temp2Hm1 = src[H - 1][i] + M[0][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[0][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[0][2] * (tmp[H - 3][0] - src[H - 1][i]);
float temp2H = src[H - 1][i] + M[1][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[1][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[1][2] * (tmp[H - 3][0] - src[H - 1][i]);
float temp2Hp1 = src[H - 1][i] + M[2][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[2][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[2][2] * (tmp[H - 3][0] - src[H - 1][i]);
tmp[H - 1][0] = temp2Hm1;
tmp[H - 2][0] = B * tmp[H - 2][0] + b1 * tmp[H - 1][0] + b2 * temp2H + b3 * temp2Hp1;
tmp[H - 3][0] = B * tmp[H - 3][0] + b1 * tmp[H - 2][0] + b2 * tmp[H - 1][0] + b3 * temp2H;
for (int j = H - 4; j >= 0; j--) {
tmp[j][0] = B * tmp[j][0] + b1 * tmp[j + 1][0] + b2 * tmp[j + 2][0] + b3 * tmp[j + 3][0];
}
for (int j = 0; j < H; j++) {
dst[j][i] = tmp[j][0];
}
}
}
#endif
#ifdef __SSE2__
template<class T> SSEFUNCTION void gaussVerticalSsemult (T** RESTRICT src, T** RESTRICT dst, const int W, const int H, const float sigma)
{
double b1, b2, b3, B, M[3][3];
calculateYvVFactors<double>(sigma, b1, b2, b3, B, M);
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++) {
M[i][j] *= (1.0 + b2 + (b1 - b3) * b3);
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 - b1 - b2 - b3);
}
float tmp[H][8] ALIGNED16;
vfloat Rv;
vfloat Tv, Tm2v, Tm3v;
vfloat Rv1;
vfloat Tv1, Tm2v1, Tm3v1;
vfloat Bv, b1v, b2v, b3v;
vfloat temp2W, temp2Wp1;
vfloat temp2W1, temp2Wp11;
Bv = F2V(B);
b1v = F2V(b1);
b2v = F2V(b2);
b3v = F2V(b3);
#ifdef _OPENMP
#pragma omp for nowait
#endif
// process 8 columns per iteration for better usage of cpu cache
for (int i = 0; i < W - 7; i += 8) {
Tv = LVFU( src[0][i]);
Tv1 = LVFU( src[0][i + 4]);
Rv = Tv * (Bv + b1v + b2v + b3v);
Rv1 = Tv1 * (Bv + b1v + b2v + b3v);
Tm3v = Rv;
Tm3v1 = Rv1;
STVF( tmp[0][0], Rv );
STVF( tmp[0][4], Rv1 );
Rv = LVFU(src[1][i]) * Bv + Rv * b1v + Tv * (b2v + b3v);
Rv1 = LVFU(src[1][i + 4]) * Bv + Rv1 * b1v + Tv1 * (b2v + b3v);
Tm2v = Rv;
Tm2v1 = Rv1;
STVF( tmp[1][0], Rv );
STVF( tmp[1][4], Rv1 );
Rv = LVFU(src[2][i]) * Bv + Rv * b1v + Tm3v * b2v + Tv * b3v;
Rv1 = LVFU(src[2][i + 4]) * Bv + Rv1 * b1v + Tm3v1 * b2v + Tv1 * b3v;
STVF( tmp[2][0], Rv );
STVF( tmp[2][4], Rv1 );
for (int j = 3; j < H; j++) {
Tv = Rv;
Tv1 = Rv1;
Rv = LVFU(src[j][i]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
Rv1 = LVFU(src[j][i + 4]) * Bv + Tv1 * b1v + Tm2v1 * b2v + Tm3v1 * b3v;
STVF( tmp[j][0], Rv );
STVF( tmp[j][4], Rv1 );
Tm3v = Tm2v;
Tm3v1 = Tm2v1;
Tm2v = Tv;
Tm2v1 = Tv1;
}
Tv = LVFU(src[H - 1][i]);
Tv1 = LVFU(src[H - 1][i + 4]);
temp2Wp1 = Tv + F2V(M[2][0]) * (Rv - Tv) + F2V(M[2][1]) * (Tm2v - Tv) + F2V(M[2][2]) * (Tm3v - Tv);
temp2Wp11 = Tv1 + F2V(M[2][0]) * (Rv1 - Tv1) + F2V(M[2][1]) * (Tm2v1 - Tv1) + F2V(M[2][2]) * (Tm3v1 - Tv1);
temp2W = Tv + F2V(M[1][0]) * (Rv - Tv) + F2V(M[1][1]) * (Tm2v - Tv) + F2V(M[1][2]) * (Tm3v - Tv);
temp2W1 = Tv1 + F2V(M[1][0]) * (Rv1 - Tv1) + F2V(M[1][1]) * (Tm2v1 - Tv1) + F2V(M[1][2]) * (Tm3v1 - Tv1);
Rv = Tv + F2V(M[0][0]) * (Rv - Tv) + F2V(M[0][1]) * (Tm2v - Tv) + F2V(M[0][2]) * (Tm3v - Tv);
Rv1 = Tv1 + F2V(M[0][0]) * (Rv1 - Tv1) + F2V(M[0][1]) * (Tm2v1 - Tv1) + F2V(M[0][2]) * (Tm3v1 - Tv1);
STVFU( dst[H - 1][i], LVFU(dst[H - 1][i]) * Rv );
STVFU( dst[H - 1][i + 4], LVFU(dst[H - 1][i + 4]) * Rv1 );
Tm2v = Bv * Tm2v + b1v * Rv + b2v * temp2W + b3v * temp2Wp1;
Tm2v1 = Bv * Tm2v1 + b1v * Rv1 + b2v * temp2W1 + b3v * temp2Wp11;
STVFU( dst[H - 2][i], LVFU(dst[H - 2][i]) * Tm2v );
STVFU( dst[H - 2][i + 4], LVFU(dst[H - 2][i + 4]) * Tm2v1 );
Tm3v = Bv * Tm3v + b1v * Tm2v + b2v * Rv + b3v * temp2W;
Tm3v1 = Bv * Tm3v1 + b1v * Tm2v1 + b2v * Rv1 + b3v * temp2W1;
STVFU( dst[H - 3][i], LVFU(dst[H - 3][i]) * Tm3v );
STVFU( dst[H - 3][i + 4], LVFU(dst[H - 3][i + 4]) * Tm3v1 );
Tv = Rv;
Tv1 = Rv1;
Rv = Tm3v;
Rv1 = Tm3v1;
Tm3v = Tv;
Tm3v1 = Tv1;
for (int j = H - 4; j >= 0; j--) {
Tv = Rv;
Tv1 = Rv1;
Rv = LVF(tmp[j][0]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
Rv1 = LVF(tmp[j][4]) * Bv + Tv1 * b1v + Tm2v1 * b2v + Tm3v1 * b3v;
STVFU( dst[j][i], LVFU(dst[j][i]) * Rv );
STVFU( dst[j][i + 4], LVFU(dst[j][i + 4]) * Rv1 );
Tm3v = Tm2v;
Tm3v1 = Tm2v1;
Tm2v = Tv;
Tm2v1 = Tv1;
}
}
// Borders are done without SSE
#ifdef _OPENMP
#pragma omp single
#endif
for (int i = W - (W % 8); i < W; i++) {
tmp[0][0] = src[0][i] * (B + b1 + b2 + b3);
tmp[1][0] = B * src[1][i] + b1 * tmp[0][0] + src[0][i] * (b2 + b3);
tmp[2][0] = B * src[2][i] + b1 * tmp[1][0] + b2 * tmp[0][0] + b3 * src[0][i];
for (int j = 3; j < H; j++) {
tmp[j][0] = B * src[j][i] + b1 * tmp[j - 1][0] + b2 * tmp[j - 2][0] + b3 * tmp[j - 3][0];
}
float temp2Hm1 = src[H - 1][i] + M[0][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[0][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[0][2] * (tmp[H - 3][0] - src[H - 1][i]);
float temp2H = src[H - 1][i] + M[1][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[1][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[1][2] * (tmp[H - 3][0] - src[H - 1][i]);
float temp2Hp1 = src[H - 1][i] + M[2][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[2][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[2][2] * (tmp[H - 3][0] - src[H - 1][i]);
tmp[H - 1][0] = temp2Hm1;
tmp[H - 2][0] = B * tmp[H - 2][0] + b1 * tmp[H - 1][0] + b2 * temp2H + b3 * temp2Hp1;
tmp[H - 3][0] = B * tmp[H - 3][0] + b1 * tmp[H - 2][0] + b2 * tmp[H - 1][0] + b3 * temp2H;
for (int j = H - 4; j >= 0; j--) {
tmp[j][0] = B * tmp[j][0] + b1 * tmp[j + 1][0] + b2 * tmp[j + 2][0] + b3 * tmp[j + 3][0];
}
for (int j = 0; j < H; j++) {
dst[j][i] *= tmp[j][0];
}
}
}
template<class T> SSEFUNCTION void gaussVerticalSsediv (T** RESTRICT src, T** RESTRICT dst, T** divBuffer, const int W, const int H, const float sigma)
{
double b1, b2, b3, B, M[3][3];
calculateYvVFactors<double>(sigma, b1, b2, b3, B, M);
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++) {
M[i][j] *= (1.0 + b2 + (b1 - b3) * b3);
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 - b1 - b2 - b3);
}
float tmp[H][8] ALIGNED16;
vfloat Rv;
vfloat Tv, Tm2v, Tm3v;
vfloat Rv1;
vfloat Tv1, Tm2v1, Tm3v1;
vfloat Bv, b1v, b2v, b3v;
vfloat temp2W, temp2Wp1;
vfloat temp2W1, temp2Wp11;
vfloat onev = F2V(1.f);
Bv = F2V(B);
b1v = F2V(b1);
b2v = F2V(b2);
b3v = F2V(b3);
#ifdef _OPENMP
#pragma omp for nowait
#endif
// process 8 columns per iteration for better usage of cpu cache
for (int i = 0; i < W - 7; i += 8) {
Tv = LVFU( src[0][i]);
Tv1 = LVFU( src[0][i + 4]);
Rv = Tv * (Bv + b1v + b2v + b3v);
Rv1 = Tv1 * (Bv + b1v + b2v + b3v);
Tm3v = Rv;
Tm3v1 = Rv1;
STVF( tmp[0][0], Rv );
STVF( tmp[0][4], Rv1 );
Rv = LVFU(src[1][i]) * Bv + Rv * b1v + Tv * (b2v + b3v);
Rv1 = LVFU(src[1][i + 4]) * Bv + Rv1 * b1v + Tv1 * (b2v + b3v);
Tm2v = Rv;
Tm2v1 = Rv1;
STVF( tmp[1][0], Rv );
STVF( tmp[1][4], Rv1 );
Rv = LVFU(src[2][i]) * Bv + Rv * b1v + Tm3v * b2v + Tv * b3v;
Rv1 = LVFU(src[2][i + 4]) * Bv + Rv1 * b1v + Tm3v1 * b2v + Tv1 * b3v;
STVF( tmp[2][0], Rv );
STVF( tmp[2][4], Rv1 );
for (int j = 3; j < H; j++) {
Tv = Rv;
Tv1 = Rv1;
Rv = LVFU(src[j][i]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
Rv1 = LVFU(src[j][i + 4]) * Bv + Tv1 * b1v + Tm2v1 * b2v + Tm3v1 * b3v;
STVF( tmp[j][0], Rv );
STVF( tmp[j][4], Rv1 );
Tm3v = Tm2v;
Tm3v1 = Tm2v1;
Tm2v = Tv;
Tm2v1 = Tv1;
}
Tv = LVFU(src[H - 1][i]);
Tv1 = LVFU(src[H - 1][i + 4]);
temp2Wp1 = Tv + F2V(M[2][0]) * (Rv - Tv) + F2V(M[2][1]) * (Tm2v - Tv) + F2V(M[2][2]) * (Tm3v - Tv);
temp2Wp11 = Tv1 + F2V(M[2][0]) * (Rv1 - Tv1) + F2V(M[2][1]) * (Tm2v1 - Tv1) + F2V(M[2][2]) * (Tm3v1 - Tv1);
temp2W = Tv + F2V(M[1][0]) * (Rv - Tv) + F2V(M[1][1]) * (Tm2v - Tv) + F2V(M[1][2]) * (Tm3v - Tv);
temp2W1 = Tv1 + F2V(M[1][0]) * (Rv1 - Tv1) + F2V(M[1][1]) * (Tm2v1 - Tv1) + F2V(M[1][2]) * (Tm3v1 - Tv1);
Rv = Tv + F2V(M[0][0]) * (Rv - Tv) + F2V(M[0][1]) * (Tm2v - Tv) + F2V(M[0][2]) * (Tm3v - Tv);
Rv1 = Tv1 + F2V(M[0][0]) * (Rv1 - Tv1) + F2V(M[0][1]) * (Tm2v1 - Tv1) + F2V(M[0][2]) * (Tm3v1 - Tv1);
STVFU( dst[H - 1][i], LVFU(divBuffer[H - 1][i]) / vself(vmaskf_gt(Rv, ZEROV), Rv, onev));
STVFU( dst[H - 1][i + 4], LVFU(divBuffer[H - 1][i + 4]) / vself(vmaskf_gt(Rv1, ZEROV), Rv1, onev));
Tm2v = Bv * Tm2v + b1v * Rv + b2v * temp2W + b3v * temp2Wp1;
Tm2v1 = Bv * Tm2v1 + b1v * Rv1 + b2v * temp2W1 + b3v * temp2Wp11;
STVFU( dst[H - 2][i], LVFU(divBuffer[H - 2][i]) / vself(vmaskf_gt(Tm2v, ZEROV), Tm2v, onev));
STVFU( dst[H - 2][i + 4], LVFU(divBuffer[H - 2][i + 4]) / vself(vmaskf_gt(Tm2v1, ZEROV), Tm2v1, onev));
Tm3v = Bv * Tm3v + b1v * Tm2v + b2v * Rv + b3v * temp2W;
Tm3v1 = Bv * Tm3v1 + b1v * Tm2v1 + b2v * Rv1 + b3v * temp2W1;
STVFU( dst[H - 3][i], LVFU(divBuffer[H - 3][i]) / vself(vmaskf_gt(Tm3v, ZEROV), Tm3v, onev));
STVFU( dst[H - 3][i + 4], LVFU(divBuffer[H - 3][i + 4]) / vself(vmaskf_gt(Tm3v1, ZEROV), Tm3v1, onev));
Tv = Rv;
Tv1 = Rv1;
Rv = Tm3v;
Rv1 = Tm3v1;
Tm3v = Tv;
Tm3v1 = Tv1;
for (int j = H - 4; j >= 0; j--) {
Tv = Rv;
Tv1 = Rv1;
Rv = LVF(tmp[j][0]) * Bv + Tv * b1v + Tm2v * b2v + Tm3v * b3v;
Rv1 = LVF(tmp[j][4]) * Bv + Tv1 * b1v + Tm2v1 * b2v + Tm3v1 * b3v;
STVFU( dst[j][i], LVFU(divBuffer[j][i]) / vself(vmaskf_gt(Rv, ZEROV), Rv, onev));
STVFU( dst[j][i + 4], LVFU(divBuffer[j][i + 4]) / vself(vmaskf_gt(Rv1, ZEROV), Rv1, onev));
Tm3v = Tm2v;
Tm3v1 = Tm2v1;
Tm2v = Tv;
Tm2v1 = Tv1;
}
}
// Borders are done without SSE
#ifdef _OPENMP
#pragma omp single
#endif
for (int i = W - (W % 8); i < W; i++) {
tmp[0][0] = src[0][i] * (B + b1 + b2 + b3);
tmp[1][0] = B * src[1][i] + b1 * tmp[0][0] + src[0][i] * (b2 + b3);
tmp[2][0] = B * src[2][i] + b1 * tmp[1][0] + b2 * tmp[0][0] + b3 * src[0][i];
for (int j = 3; j < H; j++) {
tmp[j][0] = B * src[j][i] + b1 * tmp[j - 1][0] + b2 * tmp[j - 2][0] + b3 * tmp[j - 3][0];
}
float temp2Hm1 = src[H - 1][i] + M[0][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[0][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[0][2] * (tmp[H - 3][0] - src[H - 1][i]);
float temp2H = src[H - 1][i] + M[1][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[1][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[1][2] * (tmp[H - 3][0] - src[H - 1][i]);
float temp2Hp1 = src[H - 1][i] + M[2][0] * (tmp[H - 1][0] - src[H - 1][i]) + M[2][1] * (tmp[H - 2][0] - src[H - 1][i]) + M[2][2] * (tmp[H - 3][0] - src[H - 1][i]);
tmp[H - 1][0] = temp2Hm1;
tmp[H - 2][0] = B * tmp[H - 2][0] + b1 * tmp[H - 1][0] + b2 * temp2H + b3 * temp2Hp1;
tmp[H - 3][0] = B * tmp[H - 3][0] + b1 * tmp[H - 2][0] + b2 * tmp[H - 1][0] + b3 * temp2H;
for (int j = H - 4; j >= 0; j--) {
tmp[j][0] = B * tmp[j][0] + b1 * tmp[j + 1][0] + b2 * tmp[j + 2][0] + b3 * tmp[j + 3][0];
}
for (int j = 0; j < H; j++) {
dst[j][i] = divBuffer[j][i] / (tmp[j][0] > 0.f ? tmp[j][0] : 1.f);
}
}
}
#endif
template<class T> void gaussVertical (T** src, T** dst, const int W, const int H, const double sigma)
{
double b1, b2, b3, B, M[3][3];
calculateYvVFactors<double>(sigma, b1, b2, b3, B, M);
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++) {
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 + b2 + (b1 - b3) * b3);
}
// process 'numcols' columns for better usage of L1 cpu cache (especially faster for large values of H)
static const int numcols = 8;
double temp2[H][numcols] ALIGNED16;
double temp2Hm1[numcols], temp2H[numcols], temp2Hp1[numcols];
#ifdef _OPENMP
#pragma omp for nowait
#endif
for (int i = 0; i < W - numcols + 1; i += numcols) {
for (int k = 0; k < numcols; k++) {
temp2[0][k] = B * src[0][i + k] + b1 * src[0][i + k] + b2 * src[0][i + k] + b3 * src[0][i + k];
temp2[1][k] = B * src[1][i + k] + b1 * temp2[0][k] + b2 * src[0][i + k] + b3 * src[0][i + k];
temp2[2][k] = B * src[2][i + k] + b1 * temp2[1][k] + b2 * temp2[0][k] + b3 * src[0][i + k];
}
for (int j = 3; j < H; j++) {
for (int k = 0; k < numcols; k++) {
temp2[j][k] = B * src[j][i + k] + b1 * temp2[j - 1][k] + b2 * temp2[j - 2][k] + b3 * temp2[j - 3][k];
}
}
for (int k = 0; k < numcols; k++) {
temp2Hm1[k] = src[H - 1][i + k] + M[0][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[0][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[0][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
temp2H[k] = src[H - 1][i + k] + M[1][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[1][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[1][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
temp2Hp1[k] = src[H - 1][i + k] + M[2][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[2][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[2][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
}
for (int k = 0; k < numcols; k++) {
dst[H - 1][i + k] = temp2[H - 1][k] = temp2Hm1[k];
dst[H - 2][i + k] = temp2[H - 2][k] = B * temp2[H - 2][k] + b1 * temp2[H - 1][k] + b2 * temp2H[k] + b3 * temp2Hp1[k];
dst[H - 3][i + k] = temp2[H - 3][k] = B * temp2[H - 3][k] + b1 * temp2[H - 2][k] + b2 * temp2[H - 1][k] + b3 * temp2H[k];
}
for (int j = H - 4; j >= 0; j--) {
for (int k = 0; k < numcols; k++) {
dst[j][i + k] = temp2[j][k] = B * temp2[j][k] + b1 * temp2[j + 1][k] + b2 * temp2[j + 2][k] + b3 * temp2[j + 3][k];
}
}
}
#ifdef _OPENMP
#pragma omp single
#endif
// process remaining columns
for (int i = W - (W % numcols); i < W; i++) {
temp2[0][0] = B * src[0][i] + b1 * src[0][i] + b2 * src[0][i] + b3 * src[0][i];
temp2[1][0] = B * src[1][i] + b1 * temp2[0][0] + b2 * src[0][i] + b3 * src[0][i];
temp2[2][0] = B * src[2][i] + b1 * temp2[1][0] + b2 * temp2[0][0] + b3 * src[0][i];
for (int j = 3; j < H; j++) {
temp2[j][0] = B * src[j][i] + b1 * temp2[j - 1][0] + b2 * temp2[j - 2][0] + b3 * temp2[j - 3][0];
}
double temp2Hm1 = src[H - 1][i] + M[0][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[0][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[0][2] * (temp2[H - 3][0] - src[H - 1][i]);
double temp2H = src[H - 1][i] + M[1][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[1][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[1][2] * (temp2[H - 3][0] - src[H - 1][i]);
double temp2Hp1 = src[H - 1][i] + M[2][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[2][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[2][2] * (temp2[H - 3][0] - src[H - 1][i]);
dst[H - 1][i] = temp2[H - 1][0] = temp2Hm1;
dst[H - 2][i] = temp2[H - 2][0] = B * temp2[H - 2][0] + b1 * temp2[H - 1][0] + b2 * temp2H + b3 * temp2Hp1;
dst[H - 3][i] = temp2[H - 3][0] = B * temp2[H - 3][0] + b1 * temp2[H - 2][0] + b2 * temp2[H - 1][0] + b3 * temp2H;
for (int j = H - 4; j >= 0; j--) {
dst[j][i] = temp2[j][0] = B * temp2[j][0] + b1 * temp2[j + 1][0] + b2 * temp2[j + 2][0] + b3 * temp2[j + 3][0];
}
}
}
#ifndef __SSE2__
template<class T> void gaussVerticaldiv (T** src, T** dst, T** divBuffer, const int W, const int H, const double sigma)
{
double b1, b2, b3, B, M[3][3];
calculateYvVFactors<double>(sigma, b1, b2, b3, B, M);
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++) {
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 + b2 + (b1 - b3) * b3);
}
// process 'numcols' columns for better usage of L1 cpu cache (especially faster for large values of H)
static const int numcols = 8;
double temp2[H][numcols] ALIGNED16;
double temp2Hm1[numcols], temp2H[numcols], temp2Hp1[numcols];
#ifdef _OPENMP
#pragma omp for nowait
#endif
for (int i = 0; i < W - numcols + 1; i += numcols) {
for (int k = 0; k < numcols; k++) {
temp2[0][k] = B * src[0][i + k] + b1 * src[0][i + k] + b2 * src[0][i + k] + b3 * src[0][i + k];
temp2[1][k] = B * src[1][i + k] + b1 * temp2[0][k] + b2 * src[0][i + k] + b3 * src[0][i + k];
temp2[2][k] = B * src[2][i + k] + b1 * temp2[1][k] + b2 * temp2[0][k] + b3 * src[0][i + k];
}
for (int j = 3; j < H; j++) {
for (int k = 0; k < numcols; k++) {
temp2[j][k] = B * src[j][i + k] + b1 * temp2[j - 1][k] + b2 * temp2[j - 2][k] + b3 * temp2[j - 3][k];
}
}
for (int k = 0; k < numcols; k++) {
temp2Hm1[k] = src[H - 1][i + k] + M[0][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[0][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[0][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
temp2H[k] = src[H - 1][i + k] + M[1][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[1][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[1][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
temp2Hp1[k] = src[H - 1][i + k] + M[2][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[2][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[2][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
}
for (int k = 0; k < numcols; k++) {
dst[H - 1][i + k] = divBuffer[H - 1][i + k] / (temp2[H - 1][k] = temp2Hm1[k]);
dst[H - 2][i + k] = divBuffer[H - 2][i + k] / (temp2[H - 2][k] = B * temp2[H - 2][k] + b1 * temp2[H - 1][k] + b2 * temp2H[k] + b3 * temp2Hp1[k]);
dst[H - 3][i + k] = divBuffer[H - 3][i + k] / (temp2[H - 3][k] = B * temp2[H - 3][k] + b1 * temp2[H - 2][k] + b2 * temp2[H - 1][k] + b3 * temp2H[k]);
}
for (int j = H - 4; j >= 0; j--) {
for (int k = 0; k < numcols; k++) {
dst[j][i + k] = divBuffer[j][i + k] / (temp2[j][k] = B * temp2[j][k] + b1 * temp2[j + 1][k] + b2 * temp2[j + 2][k] + b3 * temp2[j + 3][k]);
}
}
}
#ifdef _OPENMP
#pragma omp single
#endif
// process remaining columns
for (int i = W - (W % numcols); i < W; i++) {
temp2[0][0] = B * src[0][i] + b1 * src[0][i] + b2 * src[0][i] + b3 * src[0][i];
temp2[1][0] = B * src[1][i] + b1 * temp2[0][0] + b2 * src[0][i] + b3 * src[0][i];
temp2[2][0] = B * src[2][i] + b1 * temp2[1][0] + b2 * temp2[0][0] + b3 * src[0][i];
for (int j = 3; j < H; j++) {
temp2[j][0] = B * src[j][i] + b1 * temp2[j - 1][0] + b2 * temp2[j - 2][0] + b3 * temp2[j - 3][0];
}
double temp2Hm1 = src[H - 1][i] + M[0][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[0][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[0][2] * (temp2[H - 3][0] - src[H - 1][i]);
double temp2H = src[H - 1][i] + M[1][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[1][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[1][2] * (temp2[H - 3][0] - src[H - 1][i]);
double temp2Hp1 = src[H - 1][i] + M[2][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[2][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[2][2] * (temp2[H - 3][0] - src[H - 1][i]);
dst[H - 1][i] = divBuffer[H - 1][i] / (temp2[H - 1][0] = temp2Hm1);
dst[H - 2][i] = divBuffer[H - 2][i] / (temp2[H - 2][0] = B * temp2[H - 2][0] + b1 * temp2[H - 1][0] + b2 * temp2H + b3 * temp2Hp1);
dst[H - 3][i] = divBuffer[H - 3][i] / (temp2[H - 3][0] = B * temp2[H - 3][0] + b1 * temp2[H - 2][0] + b2 * temp2[H - 1][0] + b3 * temp2H);
for (int j = H - 4; j >= 0; j--) {
dst[j][i] = divBuffer[j][i] / (temp2[j][0] = B * temp2[j][0] + b1 * temp2[j + 1][0] + b2 * temp2[j + 2][0] + b3 * temp2[j + 3][0]);
}
}
}
template<class T> void gaussVerticalmult (T** src, T** dst, const int W, const int H, const double sigma)
{
double b1, b2, b3, B, M[3][3];
calculateYvVFactors<double>(sigma, b1, b2, b3, B, M);
for (int i = 0; i < 3; i++)
for (int j = 0; j < 3; j++) {
M[i][j] /= (1.0 + b1 - b2 + b3) * (1.0 + b2 + (b1 - b3) * b3);
}
// process 'numcols' columns for better usage of L1 cpu cache (especially faster for large values of H)
static const int numcols = 8;
double temp2[H][numcols] ALIGNED16;
double temp2Hm1[numcols], temp2H[numcols], temp2Hp1[numcols];
#ifdef _OPENMP
#pragma omp for nowait
#endif
for (int i = 0; i < W - numcols + 1; i += numcols) {
for (int k = 0; k < numcols; k++) {
temp2[0][k] = B * src[0][i + k] + b1 * src[0][i + k] + b2 * src[0][i + k] + b3 * src[0][i + k];
temp2[1][k] = B * src[1][i + k] + b1 * temp2[0][k] + b2 * src[0][i + k] + b3 * src[0][i + k];
temp2[2][k] = B * src[2][i + k] + b1 * temp2[1][k] + b2 * temp2[0][k] + b3 * src[0][i + k];
}
for (int j = 3; j < H; j++) {
for (int k = 0; k < numcols; k++) {
temp2[j][k] = B * src[j][i + k] + b1 * temp2[j - 1][k] + b2 * temp2[j - 2][k] + b3 * temp2[j - 3][k];
}
}
for (int k = 0; k < numcols; k++) {
temp2Hm1[k] = src[H - 1][i + k] + M[0][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[0][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[0][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
temp2H[k] = src[H - 1][i + k] + M[1][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[1][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[1][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
temp2Hp1[k] = src[H - 1][i + k] + M[2][0] * (temp2[H - 1][k] - src[H - 1][i + k]) + M[2][1] * (temp2[H - 2][k] - src[H - 1][i + k]) + M[2][2] * (temp2[H - 3][k] - src[H - 1][i + k]);
}
for (int k = 0; k < numcols; k++) {
dst[H - 1][i + k] *= temp2[H - 1][k] = temp2Hm1[k];
dst[H - 2][i + k] *= temp2[H - 2][k] = B * temp2[H - 2][k] + b1 * temp2[H - 1][k] + b2 * temp2H[k] + b3 * temp2Hp1[k];
dst[H - 3][i + k] *= temp2[H - 3][k] = B * temp2[H - 3][k] + b1 * temp2[H - 2][k] + b2 * temp2[H - 1][k] + b3 * temp2H[k];
}
for (int j = H - 4; j >= 0; j--) {
for (int k = 0; k < numcols; k++) {
dst[j][i + k] *= (temp2[j][k] = B * temp2[j][k] + b1 * temp2[j + 1][k] + b2 * temp2[j + 2][k] + b3 * temp2[j + 3][k]);
}
}
}
#ifdef _OPENMP
#pragma omp single
#endif
// process remaining columns
for (int i = W - (W % numcols); i < W; i++) {
temp2[0][0] = B * src[0][i] + b1 * src[0][i] + b2 * src[0][i] + b3 * src[0][i];
temp2[1][0] = B * src[1][i] + b1 * temp2[0][0] + b2 * src[0][i] + b3 * src[0][i];
temp2[2][0] = B * src[2][i] + b1 * temp2[1][0] + b2 * temp2[0][0] + b3 * src[0][i];
for (int j = 3; j < H; j++) {
temp2[j][0] = B * src[j][i] + b1 * temp2[j - 1][0] + b2 * temp2[j - 2][0] + b3 * temp2[j - 3][0];
}
double temp2Hm1 = src[H - 1][i] + M[0][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[0][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[0][2] * (temp2[H - 3][0] - src[H - 1][i]);
double temp2H = src[H - 1][i] + M[1][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[1][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[1][2] * (temp2[H - 3][0] - src[H - 1][i]);
double temp2Hp1 = src[H - 1][i] + M[2][0] * (temp2[H - 1][0] - src[H - 1][i]) + M[2][1] * (temp2[H - 2][0] - src[H - 1][i]) + M[2][2] * (temp2[H - 3][0] - src[H - 1][i]);
dst[H - 1][i] *= temp2[H - 1][0] = temp2Hm1;
dst[H - 2][i] *= temp2[H - 2][0] = B * temp2[H - 2][0] + b1 * temp2[H - 1][0] + b2 * temp2H + b3 * temp2Hp1;
dst[H - 3][i] *= temp2[H - 3][0] = B * temp2[H - 3][0] + b1 * temp2[H - 2][0] + b2 * temp2[H - 1][0] + b3 * temp2H;
for (int j = H - 4; j >= 0; j--) {
dst[j][i] *= (temp2[j][0] = B * temp2[j][0] + b1 * temp2[j + 1][0] + b2 * temp2[j + 2][0] + b3 * temp2[j + 3][0]);
}
}
}
#endif
template<class T> void gaussianBlurImpl(T** src, T** dst, const int W, const int H, const double sigma, T *buffer = nullptr, eGaussType gausstype = GAUSS_STANDARD, T** buffer2 = nullptr)
{
static constexpr auto GAUSS_SKIP = 0.25;
static constexpr auto GAUSS_3X3_LIMIT = 0.6;
static constexpr auto GAUSS_DOUBLE = 70.0;
if(buffer) {
// special variant for very large sigma, currently only used by retinex algorithm
// use iterated boxblur to approximate gaussian blur
// Compute ideal averaging filter width and number of iterations
int n = 1;
double wIdeal = sqrt((12 * sigma * sigma) + 1);
while(wIdeal > W || wIdeal > H) {
n++;
wIdeal = sqrt((12 * sigma * sigma / n) + 1);
}
if(n < 3) {
n = 3;
wIdeal = sqrt((12 * sigma * sigma / n) + 1);
} else if(n > 6) {
n = 6;
}
int wl = wIdeal;
if(wl % 2 == 0) {
wl--;
}
int wu = wl + 2;
double mIdeal = (12 * sigma * sigma - n * wl * wl - 4 * n * wl - 3 * n) / (-4 * wl - 4);
int m = round(mIdeal);
int sizes[n];
for(int i = 0; i < n; i++) {
sizes[i] = ((i < m ? wl : wu) - 1) / 2;
}
rtengine::boxblur(src, dst, buffer, sizes[0], sizes[0], W, H);
for(int i = 1; i < n; i++) {
rtengine::boxblur(dst, dst, buffer, sizes[i], sizes[i], W, H);
}
} else {
if (sigma < GAUSS_SKIP) {
// don't perform filtering
if (src != dst) {
memcpy (dst[0], src[0], W * H * sizeof(T));
}
} else if (sigma < GAUSS_3X3_LIMIT) {
if(src != dst) {
// If src != dst we can take the fast way
// compute 3x3 kernel values
double c0 = 1.0;
double c1 = exp( -0.5 * (rtengine::SQR(1.0 / sigma)) );
double c2 = exp( -rtengine::SQR(1.0 / sigma) );
// normalize kernel values
double sum = c0 + 4.0 * (c1 + c2);
c0 /= sum;
c1 /= sum;
c2 /= sum;
// compute kernel values for border pixels
double b1 = exp (-1.0 / (2.0 * sigma * sigma));
double bsum = 2.0 * b1 + 1.0;
b1 /= bsum;
double b0 = 1.0 / bsum;
switch (gausstype) {
case GAUSS_MULT :
gauss3x3mult<T> (src, dst, W, H, c0, c1, c2, b0, b1);
break;
case GAUSS_DIV :
gauss3x3div<T> (src, dst, buffer2, W, H, c0, c1, c2, b0, b1);
break;
case GAUSS_STANDARD :
gauss3x3<T> (src, dst, W, H, c0, c1, c2, b0, b1);
break;
}
} else {
// compute kernel values for separated 3x3 gaussian blur
double c1 = exp (-1.0 / (2.0 * sigma * sigma));
double csum = 2.0 * c1 + 1.0;
c1 /= csum;
double c0 = 1.0 / csum;
gaussHorizontal3<T> (src, dst, W, H, c0, c1);
gaussVertical3<T> (dst, dst, W, H, c0, c1);
}
} else {
#ifdef __SSE2__
if (sigma < GAUSS_DOUBLE) {
switch (gausstype) {
case GAUSS_MULT : {
gaussHorizontalSse<T> (src, src, W, H, sigma);
gaussVerticalSsemult<T> (src, dst, W, H, sigma);
break;
}
case GAUSS_DIV : {
gaussHorizontalSse<T> (src, dst, W, H, sigma);
gaussVerticalSsediv<T> (dst, dst, buffer2, W, H, sigma);
break;
}
case GAUSS_STANDARD : {
gaussHorizontalSse<T> (src, dst, W, H, sigma);
gaussVerticalSse<T> (dst, dst, W, H, sigma);
break;
}
}
} else { // large sigma only with double precision
gaussHorizontal<T> (src, dst, W, H, sigma);
gaussVertical<T> (dst, dst, W, H, sigma);
}
#else
if (sigma < GAUSS_DOUBLE) {
switch (gausstype) {
case GAUSS_MULT : {
gaussHorizontal<T> (src, src, W, H, sigma);
gaussVerticalmult<T> (src, dst, W, H, sigma);
break;
}
case GAUSS_DIV : {
gaussHorizontal<T> (src, dst, W, H, sigma);
gaussVerticaldiv<T> (dst, dst, buffer2, W, H, sigma);
break;
}
case GAUSS_STANDARD : {
gaussHorizontal<T> (src, dst, W, H, sigma);
gaussVertical<T> (dst, dst, W, H, sigma);
break;
}
}
} else { // large sigma only with double precision
gaussHorizontal<T> (src, dst, W, H, sigma);
gaussVertical<T> (dst, dst, W, H, sigma);
}
#endif
}
}
}
}
void gaussianBlur(float** src, float** dst, const int W, const int H, const double sigma, float *buffer, eGaussType gausstype, float** buffer2)
{
gaussianBlurImpl<float>(src, dst, W, H, sigma, buffer, gausstype, buffer2);
}