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356 lines
14 KiB
356 lines
14 KiB
/*
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* Copyright 2020 Google Inc.
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*
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* Use of this source code is governed by a BSD-style license that can be
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* found in the LICENSE file.
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*/
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#include "include/core/SkM44.h"
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#include "include/utils/SkRandom.h"
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#include "src/core/SkMatrixPriv.h"
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#include "tests/Test.h"
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static bool eq(const SkM44& a, const SkM44& b, float tol) {
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float fa[16], fb[16];
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a.getColMajor(fa);
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b.getColMajor(fb);
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for (int i = 0; i < 16; ++i) {
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if (!SkScalarNearlyEqual(fa[i], fb[i], tol)) {
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return false;
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}
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}
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return true;
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}
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DEF_TEST(M44, reporter) {
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SkM44 m, im;
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REPORTER_ASSERT(reporter, SkM44(1, 0, 0, 0,
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0, 1, 0, 0,
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0, 0, 1, 0,
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0, 0, 0, 1) == m);
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REPORTER_ASSERT(reporter, SkM44() == m);
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REPORTER_ASSERT(reporter, m.invert(&im));
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REPORTER_ASSERT(reporter, SkM44() == im);
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m.setTranslate(3, 4, 2);
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REPORTER_ASSERT(reporter, SkM44(1, 0, 0, 3,
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0, 1, 0, 4,
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0, 0, 1, 2,
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0, 0, 0, 1) == m);
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const float f[] = { 1, 0, 0, 2, 3, 1, 2, 5, 0, 5, 3, 0, 0, 1, 0, 2 };
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m = SkM44::ColMajor(f);
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REPORTER_ASSERT(reporter, SkM44(f[0], f[4], f[ 8], f[12],
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f[1], f[5], f[ 9], f[13],
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f[2], f[6], f[10], f[14],
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f[3], f[7], f[11], f[15]) == m);
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{
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SkM44 t = m.transpose();
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REPORTER_ASSERT(reporter, t != m);
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REPORTER_ASSERT(reporter, t.rc(1,0) == m.rc(0,1));
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SkM44 tt = t.transpose();
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REPORTER_ASSERT(reporter, tt == m);
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}
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m = SkM44::RowMajor(f);
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REPORTER_ASSERT(reporter, SkM44(f[ 0], f[ 1], f[ 2], f[ 3],
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f[ 4], f[ 5], f[ 6], f[ 7],
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f[ 8], f[ 9], f[10], f[14],
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f[12], f[13], f[14], f[15]) == m);
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REPORTER_ASSERT(reporter, m.invert(&im));
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m = m * im;
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// m should be identity now, but our calc is not perfect...
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REPORTER_ASSERT(reporter, eq(SkM44(), m, 0.0000005f));
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REPORTER_ASSERT(reporter, SkM44() != m);
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}
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DEF_TEST(M44_v3, reporter) {
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SkV3 a = {1, 2, 3},
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b = {1, 2, 2};
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REPORTER_ASSERT(reporter, a.lengthSquared() == 1 + 4 + 9);
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REPORTER_ASSERT(reporter, b.length() == 3);
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REPORTER_ASSERT(reporter, a.dot(b) == 1 + 4 + 6);
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REPORTER_ASSERT(reporter, b.dot(a) == 1 + 4 + 6);
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REPORTER_ASSERT(reporter, (a.cross(b) == SkV3{-2, 1, 0}));
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REPORTER_ASSERT(reporter, (b.cross(a) == SkV3{ 2, -1, 0}));
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SkM44 m = {
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2, 0, 0, 3,
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0, 1, 0, 5,
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0, 0, 3, 1,
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0, 0, 0, 1
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};
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SkV3 c = m * a;
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REPORTER_ASSERT(reporter, (c == SkV3{2, 2, 9}));
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SkV4 d = m.map(4, 3, 2, 1);
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REPORTER_ASSERT(reporter, (d == SkV4{11, 8, 7, 1}));
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}
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DEF_TEST(M44_v4, reporter) {
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SkM44 m( 1, 2, 3, 4,
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5, 6, 7, 8,
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9, 10, 11, 12,
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13, 14, 15, 16);
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SkV4 r0 = m.row(0),
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r1 = m.row(1),
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r2 = m.row(2),
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r3 = m.row(3);
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REPORTER_ASSERT(reporter, (r0 == SkV4{ 1, 2, 3, 4}));
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REPORTER_ASSERT(reporter, (r1 == SkV4{ 5, 6, 7, 8}));
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REPORTER_ASSERT(reporter, (r2 == SkV4{ 9, 10, 11, 12}));
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REPORTER_ASSERT(reporter, (r3 == SkV4{13, 14, 15, 16}));
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REPORTER_ASSERT(reporter, SkM44::Rows(r0, r1, r2, r3) == m);
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SkV4 c0 = m.col(0),
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c1 = m.col(1),
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c2 = m.col(2),
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c3 = m.col(3);
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REPORTER_ASSERT(reporter, (c0 == SkV4{1, 5, 9, 13}));
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REPORTER_ASSERT(reporter, (c1 == SkV4{2, 6, 10, 14}));
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REPORTER_ASSERT(reporter, (c2 == SkV4{3, 7, 11, 15}));
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REPORTER_ASSERT(reporter, (c3 == SkV4{4, 8, 12, 16}));
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REPORTER_ASSERT(reporter, SkM44::Cols(c0, c1, c2, c3) == m);
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// implement matrix * vector using column vectors
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SkV4 v = {1, 2, 3, 4};
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SkV4 v1 = m * v;
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SkV4 v2 = c0 * v.x + c1 * v.y + c2 * v.z + c3 * v.w;
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REPORTER_ASSERT(reporter, v1 == v2);
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REPORTER_ASSERT(reporter, (c0 + r0 == SkV4{c0.x+r0.x, c0.y+r0.y, c0.z+r0.z, c0.w+r0.w}));
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REPORTER_ASSERT(reporter, (c0 - r0 == SkV4{c0.x-r0.x, c0.y-r0.y, c0.z-r0.z, c0.w-r0.w}));
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REPORTER_ASSERT(reporter, (c0 * r0 == SkV4{c0.x*r0.x, c0.y*r0.y, c0.z*r0.z, c0.w*r0.w}));
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}
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DEF_TEST(M44_rotate, reporter) {
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const SkV3 x = {1, 0, 0},
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y = {0, 1, 0},
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z = {0, 0, 1};
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// We have radians version of setRotateAbout methods, but even with our best approx
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// for PI, sin(SK_ScalarPI) != 0, so to make the comparisons in the unittest clear,
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// I'm using the variants that explicitly take the sin,cos values.
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struct {
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SkScalar sinAngle, cosAngle;
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SkV3 aboutAxis;
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SkV3 expectedX, expectedY, expectedZ;
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} recs[] = {
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{ 0, 1, x, x, y, z}, // angle = 0
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{ 0, 1, y, x, y, z}, // angle = 0
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{ 0, 1, z, x, y, z}, // angle = 0
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{ 0,-1, x, x,-y,-z}, // angle = 180
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{ 0,-1, y, -x, y,-z}, // angle = 180
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{ 0,-1, z, -x,-y, z}, // angle = 180
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// Skia coordinate system is right-handed
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{ 1, 0, x, x, z,-y}, // angle = 90
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{ 1, 0, y, -z, y, x}, // angle = 90
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{ 1, 0, z, y,-x, z}, // angle = 90
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{-1, 0, x, x,-z, y}, // angle = -90
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{-1, 0, y, z, y,-x}, // angle = -90
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{-1, 0, z, -y, x, z}, // angle = -90
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};
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for (const auto& r : recs) {
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SkM44 m(SkM44::kNaN_Constructor);
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m.setRotateUnitSinCos(r.aboutAxis, r.sinAngle, r.cosAngle);
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auto mx = m * x;
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auto my = m * y;
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auto mz = m * z;
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REPORTER_ASSERT(reporter, mx == r.expectedX);
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REPORTER_ASSERT(reporter, my == r.expectedY);
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REPORTER_ASSERT(reporter, mz == r.expectedZ);
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// flipping the axis-of-rotation should flip the results
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mx = m * -x;
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my = m * -y;
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mz = m * -z;
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REPORTER_ASSERT(reporter, mx == -r.expectedX);
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REPORTER_ASSERT(reporter, my == -r.expectedY);
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REPORTER_ASSERT(reporter, mz == -r.expectedZ);
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}
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}
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DEF_TEST(M44_rectToRect, reporter) {
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SkV2 dstScales[] = {
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{1.f, 1.f}, // no aspect ratio change, nor up/down scaling
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{0.25f, 0.5f}, // aspect ratio narrows, downscale x and y
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{0.5f, 0.25f}, // aspect ratio widens, downscale x and y
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{0.5f, 0.5f}, // no aspect ratio change, downscale x and y
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{2.f, 3.f}, // aspect ratio narrows, upscale x and y
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{3.f, 2.f}, // aspect ratio widens, upscale x and y
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{2.f, 2.f}, // no aspect ratio change, upscale x and y
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{0.5f, 2.f}, // aspect ratio narrows, downscale x and upscale y
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{2.f, 0.5f} // aspect ratio widens, upscale x and downscale y
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};
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auto map2d = [&](const SkM44& m, SkV2 p) {
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SkV4 mapped = m.map(p.x, p.y, 0.f, 1.f);
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REPORTER_ASSERT(reporter, mapped.z == 0.f);
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REPORTER_ASSERT(reporter, mapped.w == 1.f);
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return SkV2{mapped.x, mapped.y};
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};
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auto assertNearlyEqual = [&](float actual, float expected) {
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REPORTER_ASSERT(reporter, SkScalarNearlyEqual(actual, expected),
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"Expected %g == %g", actual, expected);
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};
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auto assertEdges = [&](float actualLow, float actualHigh,
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float expectedLow, float expectedHigh) {
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SkASSERT(expectedLow < expectedHigh);
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REPORTER_ASSERT(reporter, actualLow < actualHigh,
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"Expected %g < %g", actualLow, actualHigh);
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assertNearlyEqual(actualLow, expectedLow);
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assertNearlyEqual(actualHigh, expectedHigh);
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};
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SkRandom rand;
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for (const auto& r : dstScales) {
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SkRect src = SkRect::MakeXYWH(rand.nextRangeF(-10.f, 10.f),
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rand.nextRangeF(-10.f, 10.f),
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rand.nextRangeF(1.f, 10.f),
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rand.nextRangeF(1.f, 10.f));
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SkRect dst = SkRect::MakeXYWH(rand.nextRangeF(-10.f, 10.f),
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rand.nextRangeF(-10.f, 10.f),
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r.x * src.width(),
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r.y * src.height());
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SkM44 m = SkM44::RectToRect(src, dst);
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// Regardless of the factory, center of src maps to center of dst
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SkV2 center = map2d(m, {src.centerX(), src.centerY()});
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assertNearlyEqual(center.x, dst.centerX());
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assertNearlyEqual(center.y, dst.centerY());
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// Map the four corners of src and validate against expected edge mapping
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SkV2 tl = map2d(m, {src.fLeft, src.fTop});
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SkV2 tr = map2d(m, {src.fRight, src.fTop});
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SkV2 br = map2d(m, {src.fRight, src.fBottom});
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SkV2 bl = map2d(m, {src.fLeft, src.fBottom});
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assertEdges(tl.x, tr.x, dst.fLeft, dst.fRight);
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assertEdges(bl.x, br.x, dst.fLeft, dst.fRight);
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assertEdges(tl.y, bl.y, dst.fTop, dst.fBottom);
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assertEdges(tr.y, br.y, dst.fTop, dst.fBottom);
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}
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}
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DEF_TEST(M44_mapRect, reporter) {
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auto assertRectsNearlyEqual = [&](const SkRect& actual, const SkRect& expected,
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const SkRect& e) {
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REPORTER_ASSERT(reporter, SkScalarNearlyEqual(actual.fLeft, expected.fLeft, e.fLeft),
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"Expected %g == %g", actual.fLeft, expected.fLeft);
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REPORTER_ASSERT(reporter, SkScalarNearlyEqual(actual.fTop, expected.fTop, e.fTop),
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"Expected %g == %g", actual.fTop, expected.fTop);
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REPORTER_ASSERT(reporter, SkScalarNearlyEqual(actual.fRight, expected.fRight, e.fRight),
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"Expected %g == %g", actual.fRight, expected.fRight);
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REPORTER_ASSERT(reporter, SkScalarNearlyEqual(actual.fBottom, expected.fBottom, e.fBottom),
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"Expected %g == %g", actual.fBottom, expected.fBottom);
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};
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auto assertMapRect = [&](const SkM44& m, const SkRect& src, const SkRect* expected) {
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SkRect epsilon = {1e-5f, 1e-5f, 1e-5f, 1e-5f};
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SkRect actual = SkMatrixPriv::MapRect(m, src);
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REPORTER_ASSERT(reporter, !actual.isEmpty());
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if (expected) {
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assertRectsNearlyEqual(actual, *expected, epsilon);
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}
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SkV4 corners[4] = {{src.fLeft, src.fTop, 0.f, 1.f},
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{src.fRight, src.fTop, 0.f, 1.f},
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{src.fRight, src.fBottom, 0.f, 1.f},
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{src.fLeft, src.fBottom, 0.f, 1.f}};
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bool leftFound = false;
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bool topFound = false;
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bool rightFound = false;
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bool bottomFound = false;
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bool clipped = false;
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for (int i = 0; i < 4; ++i) {
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SkV4 mapped = m * corners[i];
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if (mapped.w > 0.f) {
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// Should be contained in actual and might be on one or two of actual's edges
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float x = mapped.x / mapped.w;
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float y = mapped.y / mapped.w;
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// Can't use SkRect::contains() since it treats right and bottom edges as exclusive
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REPORTER_ASSERT(reporter, actual.fLeft <= x && x <= actual.fRight,
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"Expected %g contained in [%g, %g]",
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x, actual.fLeft, actual.fRight);
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REPORTER_ASSERT(reporter, actual.fTop <= y && y <= actual.fBottom,
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"Expected %g contained in [%g, %g]",
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y, actual.fTop, actual.fBottom);
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leftFound |= SkScalarNearlyEqual(x, actual.fLeft);
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topFound |= SkScalarNearlyEqual(y, actual.fTop);
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rightFound |= SkScalarNearlyEqual(x, actual.fRight);
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bottomFound |= SkScalarNearlyEqual(y, actual.fBottom);
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} else {
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// The mapped point would be clipped so the clipped mapped bounds don't necessarily
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// contain it
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clipped = true;
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}
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}
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if (clipped) {
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// At least one of the mapped corners should have contributed to the rect
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REPORTER_ASSERT(reporter, leftFound || topFound || rightFound || bottomFound);
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// For any edge that came from a clipped corner, increase its error tolerance relative
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// to what SkPath::ApplyPerspectiveClip calculates
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if (!leftFound) { epsilon.fLeft = 10.f; }
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if (!topFound) { epsilon.fTop = 10.f; }
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if (!rightFound) { epsilon.fRight = 10.f; }
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if (!bottomFound) { epsilon.fBottom = 10.f; }
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} else {
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// The mapped corners should have contributed to all four edges of the returned rect
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REPORTER_ASSERT(reporter, leftFound && topFound && rightFound && bottomFound);
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}
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SkPath path = SkPath::Rect(src);
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path.transform(m.asM33(), SkApplyPerspectiveClip::kYes);
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assertRectsNearlyEqual(actual, path.getBounds(), epsilon);
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};
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// src chosen arbitrarily
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const SkRect src = SkRect::MakeLTRB(4.83f, -0.48f, 5.53f, 30.68f);
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// Identity maps src to src
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assertMapRect(SkM44(), src, &src);
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// Scale+Translate just offsets src
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SkRect st = SkRect::MakeLTRB(10.f + 2.f * src.fLeft, 8.f + 4.f * src.fTop,
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10.f + 2.f * src.fRight, 8.f + 4.f * src.fBottom);
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assertMapRect(SkM44::Scale(2.f, 4.f).postTranslate(10.f, 8.f), src, &st);
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// Rotate 45 degrees about center
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assertMapRect(SkM44::Rotate({0.f, 0.f, 1.f}, SK_ScalarPI / 4.f)
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.preTranslate(-src.centerX(), -src.centerY())
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.postTranslate(src.centerX(), src.centerY()),
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src, nullptr);
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// Perspective matrix where src does not need to be clipped w > 0
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SkM44 p = SkM44::Perspective(0.01f, 10.f, SK_ScalarPI / 3.f);
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p.preTranslate(0.f, 5.f, -0.1f);
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p.preConcat(SkM44::Rotate({0.f, 1.f, 0.f}, 0.008f /* radians */));
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assertMapRect(p, src, nullptr);
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// Perspective matrix where src *does* need to be clipped w > 0
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p.setIdentity();
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p.setRow(3, {-.2f, -.6f, 0.f, 8.f});
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assertMapRect(p, src, nullptr);
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}
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