зеркало из https://github.com/mozilla/gecko-dev.git
338 строки
12 KiB
C++
338 строки
12 KiB
C++
/*
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* Copyright 2013 The LibYuv Project Authors. All rights reserved.
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*
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* Use of this source code is governed by a BSD-style license
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* that can be found in the LICENSE file in the root of the source
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* tree. An additional intellectual property rights grant can be found
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* in the file PATENTS. All contributing project authors may
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* be found in the AUTHORS file in the root of the source tree.
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*/
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#include "../util/ssim.h" // NOLINT
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#include <math.h>
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#include <string.h>
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#ifdef __cplusplus
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extern "C" {
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#endif
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typedef unsigned int uint32; // NOLINT
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typedef unsigned short uint16; // NOLINT
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#if !defined(LIBYUV_DISABLE_X86) && !defined(__SSE2__) && \
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(defined(_M_X64) || (defined(_M_IX86_FP) && (_M_IX86_FP >= 2)))
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#define __SSE2__
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#endif
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#if !defined(LIBYUV_DISABLE_X86) && defined(__SSE2__)
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#include <emmintrin.h>
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#endif
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#ifdef _OPENMP
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#include <omp.h>
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#endif
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// SSIM
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enum { KERNEL = 3, KERNEL_SIZE = 2 * KERNEL + 1 };
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// Symmetric Gaussian kernel: K[i] = ~11 * exp(-0.3 * i * i)
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// The maximum value (11 x 11) must be less than 128 to avoid sign
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// problems during the calls to _mm_mullo_epi16().
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static const int K[KERNEL_SIZE] = {
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1, 3, 7, 11, 7, 3, 1 // ~11 * exp(-0.3 * i * i)
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};
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static const double kiW[KERNEL + 1 + 1] = {
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1. / 1089., // 1 / sum(i:0..6, j..6) K[i]*K[j]
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1. / 1089., // 1 / sum(i:0..6, j..6) K[i]*K[j]
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1. / 1056., // 1 / sum(i:0..5, j..6) K[i]*K[j]
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1. / 957., // 1 / sum(i:0..4, j..6) K[i]*K[j]
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1. / 726., // 1 / sum(i:0..3, j..6) K[i]*K[j]
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};
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#if !defined(LIBYUV_DISABLE_X86) && defined(__SSE2__)
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#define PWEIGHT(A, B) static_cast<uint16>(K[(A)] * K[(B)]) // weight product
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#define MAKE_WEIGHT(L) \
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{ { { PWEIGHT(L, 0), PWEIGHT(L, 1), PWEIGHT(L, 2), PWEIGHT(L, 3), \
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PWEIGHT(L, 4), PWEIGHT(L, 5), PWEIGHT(L, 6), 0 } } }
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// We need this union trick to be able to initialize constant static __m128i
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// values. We can't call _mm_set_epi16() for static compile-time initialization.
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static const struct {
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union {
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uint16 i16_[8];
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__m128i m_;
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} values_;
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} W0 = MAKE_WEIGHT(0),
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W1 = MAKE_WEIGHT(1),
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W2 = MAKE_WEIGHT(2),
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W3 = MAKE_WEIGHT(3);
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// ... the rest is symmetric.
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#undef MAKE_WEIGHT
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#undef PWEIGHT
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#endif
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// Common final expression for SSIM, once the weighted sums are known.
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static double FinalizeSSIM(double iw, double xm, double ym,
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double xxm, double xym, double yym) {
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const double iwx = xm * iw;
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const double iwy = ym * iw;
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double sxx = xxm * iw - iwx * iwx;
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double syy = yym * iw - iwy * iwy;
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// small errors are possible, due to rounding. Clamp to zero.
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if (sxx < 0.) sxx = 0.;
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if (syy < 0.) syy = 0.;
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const double sxsy = sqrt(sxx * syy);
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const double sxy = xym * iw - iwx * iwy;
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static const double C11 = (0.01 * 0.01) * (255 * 255);
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static const double C22 = (0.03 * 0.03) * (255 * 255);
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static const double C33 = (0.015 * 0.015) * (255 * 255);
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const double l = (2. * iwx * iwy + C11) / (iwx * iwx + iwy * iwy + C11);
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const double c = (2. * sxsy + C22) / (sxx + syy + C22);
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const double s = (sxy + C33) / (sxsy + C33);
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return l * c * s;
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}
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// GetSSIM() does clipping. GetSSIMFullKernel() does not
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// TODO(skal): use summed tables?
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// Note: worst case of accumulation is a weight of 33 = 11 + 2 * (7 + 3 + 1)
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// with a diff of 255, squared. The maximum error is thus 0x4388241,
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// which fits into 32 bits integers.
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double GetSSIM(const uint8 *org, const uint8 *rec,
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int xo, int yo, int W, int H, int stride) {
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uint32 ws = 0, xm = 0, ym = 0, xxm = 0, xym = 0, yym = 0;
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org += (yo - KERNEL) * stride;
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org += (xo - KERNEL);
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rec += (yo - KERNEL) * stride;
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rec += (xo - KERNEL);
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for (int y_ = 0; y_ < KERNEL_SIZE; ++y_, org += stride, rec += stride) {
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if (((yo - KERNEL + y_) < 0) || ((yo - KERNEL + y_) >= H)) continue;
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const int Wy = K[y_];
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for (int x_ = 0; x_ < KERNEL_SIZE; ++x_) {
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const int Wxy = Wy * K[x_];
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if (((xo - KERNEL + x_) >= 0) && ((xo - KERNEL + x_) < W)) {
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const int org_x = org[x_];
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const int rec_x = rec[x_];
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ws += Wxy;
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xm += Wxy * org_x;
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ym += Wxy * rec_x;
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xxm += Wxy * org_x * org_x;
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xym += Wxy * org_x * rec_x;
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yym += Wxy * rec_x * rec_x;
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}
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}
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}
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return FinalizeSSIM(1. / ws, xm, ym, xxm, xym, yym);
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}
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double GetSSIMFullKernel(const uint8 *org, const uint8 *rec,
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int xo, int yo, int stride,
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double area_weight) {
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uint32 xm = 0, ym = 0, xxm = 0, xym = 0, yym = 0;
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#if defined(LIBYUV_DISABLE_X86) || !defined(__SSE2__)
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org += yo * stride + xo;
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rec += yo * stride + xo;
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for (int y = 1; y <= KERNEL; y++) {
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const int dy1 = y * stride;
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const int dy2 = y * stride;
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const int Wy = K[KERNEL + y];
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for (int x = 1; x <= KERNEL; x++) {
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// Compute the contributions of upper-left (ul), upper-right (ur)
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// lower-left (ll) and lower-right (lr) points (see the diagram below).
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// Symmetric Kernel will have same weight on those points.
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// - - - - - - -
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// - ul - - - ur -
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// - - - - - - -
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// - - - 0 - - -
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// - - - - - - -
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// - ll - - - lr -
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// - - - - - - -
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const int Wxy = Wy * K[KERNEL + x];
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const int ul1 = org[-dy1 - x];
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const int ur1 = org[-dy1 + x];
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const int ll1 = org[dy1 - x];
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const int lr1 = org[dy1 + x];
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const int ul2 = rec[-dy2 - x];
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const int ur2 = rec[-dy2 + x];
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const int ll2 = rec[dy2 - x];
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const int lr2 = rec[dy2 + x];
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xm += Wxy * (ul1 + ur1 + ll1 + lr1);
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ym += Wxy * (ul2 + ur2 + ll2 + lr2);
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xxm += Wxy * (ul1 * ul1 + ur1 * ur1 + ll1 * ll1 + lr1 * lr1);
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xym += Wxy * (ul1 * ul2 + ur1 * ur2 + ll1 * ll2 + lr1 * lr2);
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yym += Wxy * (ul2 * ul2 + ur2 * ur2 + ll2 * ll2 + lr2 * lr2);
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}
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// Compute the contributions of up (u), down (d), left (l) and right (r)
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// points across the main axes (see the diagram below).
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// Symmetric Kernel will have same weight on those points.
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// - - - - - - -
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// - - - u - - -
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// - - - - - - -
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// - l - 0 - r -
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// - - - - - - -
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// - - - d - - -
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// - - - - - - -
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const int Wxy = Wy * K[KERNEL];
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const int u1 = org[-dy1];
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const int d1 = org[dy1];
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const int l1 = org[-y];
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const int r1 = org[y];
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const int u2 = rec[-dy2];
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const int d2 = rec[dy2];
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const int l2 = rec[-y];
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const int r2 = rec[y];
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xm += Wxy * (u1 + d1 + l1 + r1);
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ym += Wxy * (u2 + d2 + l2 + r2);
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xxm += Wxy * (u1 * u1 + d1 * d1 + l1 * l1 + r1 * r1);
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xym += Wxy * (u1 * u2 + d1 * d2 + l1 * l2 + r1 * r2);
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yym += Wxy * (u2 * u2 + d2 * d2 + l2 * l2 + r2 * r2);
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}
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// Lastly the contribution of (x0, y0) point.
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const int Wxy = K[KERNEL] * K[KERNEL];
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const int s1 = org[0];
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const int s2 = rec[0];
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xm += Wxy * s1;
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ym += Wxy * s2;
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xxm += Wxy * s1 * s1;
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xym += Wxy * s1 * s2;
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yym += Wxy * s2 * s2;
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#else // __SSE2__
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org += (yo - KERNEL) * stride + (xo - KERNEL);
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rec += (yo - KERNEL) * stride + (xo - KERNEL);
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const __m128i zero = _mm_setzero_si128();
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__m128i x = zero;
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__m128i y = zero;
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__m128i xx = zero;
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__m128i xy = zero;
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__m128i yy = zero;
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// Read 8 pixels at line #L, and convert to 16bit, perform weighting
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// and acccumulate.
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#define LOAD_LINE_PAIR(L, WEIGHT) do { \
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const __m128i v0 = \
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_mm_loadl_epi64(reinterpret_cast<const __m128i*>(org + (L) * stride)); \
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const __m128i v1 = \
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_mm_loadl_epi64(reinterpret_cast<const __m128i*>(rec + (L) * stride)); \
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const __m128i w0 = _mm_unpacklo_epi8(v0, zero); \
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const __m128i w1 = _mm_unpacklo_epi8(v1, zero); \
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const __m128i ww0 = _mm_mullo_epi16(w0, (WEIGHT).values_.m_); \
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const __m128i ww1 = _mm_mullo_epi16(w1, (WEIGHT).values_.m_); \
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x = _mm_add_epi32(x, _mm_unpacklo_epi16(ww0, zero)); \
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y = _mm_add_epi32(y, _mm_unpacklo_epi16(ww1, zero)); \
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x = _mm_add_epi32(x, _mm_unpackhi_epi16(ww0, zero)); \
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y = _mm_add_epi32(y, _mm_unpackhi_epi16(ww1, zero)); \
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xx = _mm_add_epi32(xx, _mm_madd_epi16(ww0, w0)); \
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xy = _mm_add_epi32(xy, _mm_madd_epi16(ww0, w1)); \
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yy = _mm_add_epi32(yy, _mm_madd_epi16(ww1, w1)); \
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} while (0)
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#define ADD_AND_STORE_FOUR_EPI32(M, OUT) do { \
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uint32 tmp[4]; \
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_mm_storeu_si128(reinterpret_cast<__m128i*>(tmp), (M)); \
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(OUT) = tmp[3] + tmp[2] + tmp[1] + tmp[0]; \
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} while (0)
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LOAD_LINE_PAIR(0, W0);
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LOAD_LINE_PAIR(1, W1);
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LOAD_LINE_PAIR(2, W2);
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LOAD_LINE_PAIR(3, W3);
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LOAD_LINE_PAIR(4, W2);
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LOAD_LINE_PAIR(5, W1);
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LOAD_LINE_PAIR(6, W0);
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ADD_AND_STORE_FOUR_EPI32(x, xm);
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ADD_AND_STORE_FOUR_EPI32(y, ym);
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ADD_AND_STORE_FOUR_EPI32(xx, xxm);
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ADD_AND_STORE_FOUR_EPI32(xy, xym);
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ADD_AND_STORE_FOUR_EPI32(yy, yym);
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#undef LOAD_LINE_PAIR
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#undef ADD_AND_STORE_FOUR_EPI32
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#endif
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return FinalizeSSIM(area_weight, xm, ym, xxm, xym, yym);
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}
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static int start_max(int x, int y) { return (x > y) ? x : y; }
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double CalcSSIM(const uint8 *org, const uint8 *rec,
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const int image_width, const int image_height) {
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double SSIM = 0.;
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const int KERNEL_Y = (image_height < KERNEL) ? image_height : KERNEL;
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const int KERNEL_X = (image_width < KERNEL) ? image_width : KERNEL;
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const int start_x = start_max(image_width - 8 + KERNEL_X, KERNEL_X);
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const int start_y = start_max(image_height - KERNEL_Y, KERNEL_Y);
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const int stride = image_width;
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for (int j = 0; j < KERNEL_Y; ++j) {
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for (int i = 0; i < image_width; ++i) {
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SSIM += GetSSIM(org, rec, i, j, image_width, image_height, stride);
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}
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}
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#ifdef _OPENMP
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#pragma omp parallel for reduction(+: SSIM)
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#endif
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for (int j = KERNEL_Y; j < image_height - KERNEL_Y; ++j) {
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for (int i = 0; i < KERNEL_X; ++i) {
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SSIM += GetSSIM(org, rec, i, j, image_width, image_height, stride);
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}
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for (int i = KERNEL_X; i < start_x; ++i) {
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SSIM += GetSSIMFullKernel(org, rec, i, j, stride, kiW[0]);
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}
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if (start_x < image_width) {
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// GetSSIMFullKernel() needs to be able to read 8 pixels (in SSE2). So we
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// copy the 8 rightmost pixels on a cache area, and pad this area with
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// zeros which won't contribute to the overall SSIM value (but we need
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// to pass the correct normalizing constant!). By using this cache, we can
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// still call GetSSIMFullKernel() instead of the slower GetSSIM().
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// NOTE: we could use similar method for the left-most pixels too.
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const int kScratchWidth = 8;
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const int kScratchStride = kScratchWidth + KERNEL + 1;
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uint8 scratch_org[KERNEL_SIZE * kScratchStride] = { 0 };
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uint8 scratch_rec[KERNEL_SIZE * kScratchStride] = { 0 };
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for (int k = 0; k < KERNEL_SIZE; ++k) {
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const int offset =
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(j - KERNEL + k) * stride + image_width - kScratchWidth;
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memcpy(scratch_org + k * kScratchStride, org + offset, kScratchWidth);
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memcpy(scratch_rec + k * kScratchStride, rec + offset, kScratchWidth);
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}
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for (int k = 0; k <= KERNEL_X + 1; ++k) {
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SSIM += GetSSIMFullKernel(scratch_org, scratch_rec,
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KERNEL + k, KERNEL, kScratchStride, kiW[k]);
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}
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}
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}
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for (int j = start_y; j < image_height; ++j) {
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for (int i = 0; i < image_width; ++i) {
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SSIM += GetSSIM(org, rec, i, j, image_width, image_height, stride);
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}
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}
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return SSIM;
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}
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double CalcLSSIM(double ssim) {
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return -10.0 * log10(1.0 - ssim);
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}
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#ifdef __cplusplus
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} // extern "C"
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#endif
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