897 lines
31 KiB
C++
897 lines
31 KiB
C++
/*
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* Copyright 2011 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 "SkMatrix44.h"
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#include "Test.h"
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static bool nearly_equal_double(double a, double b) {
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const double tolerance = 1e-7;
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double diff = a - b;
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if (diff < 0)
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diff = -diff;
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return diff <= tolerance;
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}
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static bool nearly_equal_mscalar(SkMScalar a, SkMScalar b) {
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const SkMScalar tolerance = SK_MScalar1 / 200000;
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return SkTAbs<SkMScalar>(a - b) <= tolerance;
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}
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static bool nearly_equal_scalar(SkScalar a, SkScalar b) {
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const SkScalar tolerance = SK_Scalar1 / 200000;
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return SkScalarAbs(a - b) <= tolerance;
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}
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template <typename T> void assert16(skiatest::Reporter* reporter, const T data[],
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T m0, T m1, T m2, T m3,
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T m4, T m5, T m6, T m7,
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T m8, T m9, T m10, T m11,
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T m12, T m13, T m14, T m15) {
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REPORTER_ASSERT(reporter, data[0] == m0);
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REPORTER_ASSERT(reporter, data[1] == m1);
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REPORTER_ASSERT(reporter, data[2] == m2);
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REPORTER_ASSERT(reporter, data[3] == m3);
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REPORTER_ASSERT(reporter, data[4] == m4);
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REPORTER_ASSERT(reporter, data[5] == m5);
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REPORTER_ASSERT(reporter, data[6] == m6);
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REPORTER_ASSERT(reporter, data[7] == m7);
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REPORTER_ASSERT(reporter, data[8] == m8);
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REPORTER_ASSERT(reporter, data[9] == m9);
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REPORTER_ASSERT(reporter, data[10] == m10);
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REPORTER_ASSERT(reporter, data[11] == m11);
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REPORTER_ASSERT(reporter, data[12] == m12);
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REPORTER_ASSERT(reporter, data[13] == m13);
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REPORTER_ASSERT(reporter, data[14] == m14);
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REPORTER_ASSERT(reporter, data[15] == m15);
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}
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static bool nearly_equal(const SkMatrix44& a, const SkMatrix44& b) {
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for (int i = 0; i < 4; ++i) {
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for (int j = 0; j < 4; ++j) {
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if (!nearly_equal_mscalar(a.get(i, j), b.get(i, j))) {
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SkDebugf("not equal %g %g\n", a.get(i, j), b.get(i, j));
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return false;
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}
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}
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}
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return true;
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}
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static bool is_identity(const SkMatrix44& m) {
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SkMatrix44 identity(SkMatrix44::kIdentity_Constructor);
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return nearly_equal(m, identity);
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}
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///////////////////////////////////////////////////////////////////////////////
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static bool bits_isonly(int value, int mask) {
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return 0 == (value & ~mask);
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}
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static void test_constructor(skiatest::Reporter* reporter) {
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// Allocate a matrix on the heap
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SkMatrix44* placeholderMatrix = new SkMatrix44(SkMatrix44::kUninitialized_Constructor);
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SkAutoTDelete<SkMatrix44> deleteMe(placeholderMatrix);
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for (int row = 0; row < 4; ++row) {
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for (int col = 0; col < 4; ++col) {
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placeholderMatrix->setDouble(row, col, row * col);
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}
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}
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// Use placement-new syntax to trigger the constructor on top of the heap
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// address we already initialized. This allows us to check that the
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// constructor did avoid initializing the matrix contents.
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SkMatrix44* testMatrix = new(placeholderMatrix) SkMatrix44(SkMatrix44::kUninitialized_Constructor);
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REPORTER_ASSERT(reporter, testMatrix == placeholderMatrix);
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REPORTER_ASSERT(reporter, !testMatrix->isIdentity());
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for (int row = 0; row < 4; ++row) {
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for (int col = 0; col < 4; ++col) {
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REPORTER_ASSERT(reporter, nearly_equal_double(row * col, testMatrix->getDouble(row, col)));
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}
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}
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// Verify that kIdentity_Constructor really does initialize to an identity matrix.
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testMatrix = 0;
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testMatrix = new(placeholderMatrix) SkMatrix44(SkMatrix44::kIdentity_Constructor);
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REPORTER_ASSERT(reporter, testMatrix == placeholderMatrix);
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REPORTER_ASSERT(reporter, testMatrix->isIdentity());
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REPORTER_ASSERT(reporter, *testMatrix == SkMatrix44::I());
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// Verify that that constructing from an SkMatrix initializes everything.
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SkMatrix44 scaleMatrix(SkMatrix44::kUninitialized_Constructor);
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scaleMatrix.setScale(3, 4, 5);
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REPORTER_ASSERT(reporter, scaleMatrix.isScale());
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testMatrix = new(&scaleMatrix) SkMatrix44(SkMatrix::I());
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REPORTER_ASSERT(reporter, testMatrix->isIdentity());
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REPORTER_ASSERT(reporter, *testMatrix == SkMatrix44::I());
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}
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static void test_translate(skiatest::Reporter* reporter) {
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SkMatrix44 mat(SkMatrix44::kUninitialized_Constructor);
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SkMatrix44 inverse(SkMatrix44::kUninitialized_Constructor);
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mat.setTranslate(0, 0, 0);
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REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kIdentity_Mask));
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mat.setTranslate(1, 2, 3);
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REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kTranslate_Mask));
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REPORTER_ASSERT(reporter, mat.invert(&inverse));
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REPORTER_ASSERT(reporter, bits_isonly(inverse.getType(), SkMatrix44::kTranslate_Mask));
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SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
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SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
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SkMatrix44 c(SkMatrix44::kUninitialized_Constructor);
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a.set3x3(1, 2, 3, 4, 5, 6, 7, 8, 9);
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b.setTranslate(10, 11, 12);
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c.setConcat(a, b);
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mat = a;
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mat.preTranslate(10, 11, 12);
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REPORTER_ASSERT(reporter, mat == c);
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c.setConcat(b, a);
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mat = a;
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mat.postTranslate(10, 11, 12);
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REPORTER_ASSERT(reporter, mat == c);
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}
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static void test_scale(skiatest::Reporter* reporter) {
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SkMatrix44 mat(SkMatrix44::kUninitialized_Constructor);
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SkMatrix44 inverse(SkMatrix44::kUninitialized_Constructor);
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mat.setScale(1, 1, 1);
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REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kIdentity_Mask));
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mat.setScale(1, 2, 3);
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REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kScale_Mask));
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REPORTER_ASSERT(reporter, mat.invert(&inverse));
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REPORTER_ASSERT(reporter, bits_isonly(inverse.getType(), SkMatrix44::kScale_Mask));
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SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
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SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
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SkMatrix44 c(SkMatrix44::kUninitialized_Constructor);
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a.set3x3(1, 2, 3, 4, 5, 6, 7, 8, 9);
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b.setScale(10, 11, 12);
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c.setConcat(a, b);
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mat = a;
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mat.preScale(10, 11, 12);
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REPORTER_ASSERT(reporter, mat == c);
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c.setConcat(b, a);
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mat = a;
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mat.postScale(10, 11, 12);
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REPORTER_ASSERT(reporter, mat == c);
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}
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static void make_i(SkMatrix44* mat) { mat->setIdentity(); }
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static void make_t(SkMatrix44* mat) { mat->setTranslate(1, 2, 3); }
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static void make_s(SkMatrix44* mat) { mat->setScale(1, 2, 3); }
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static void make_st(SkMatrix44* mat) {
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mat->setScale(1, 2, 3);
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mat->postTranslate(1, 2, 3);
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}
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static void make_a(SkMatrix44* mat) {
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mat->setRotateDegreesAbout(1, 2, 3, 45);
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}
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static void make_p(SkMatrix44* mat) {
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SkMScalar data[] = {
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1, 2, 3, 4, 5, 6, 7, 8,
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1, 2, 3, 4, 5, 6, 7, 8,
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};
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mat->setRowMajor(data);
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}
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typedef void (*Make44Proc)(SkMatrix44*);
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static const Make44Proc gMakeProcs[] = {
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make_i, make_t, make_s, make_st, make_a, make_p
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};
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static void test_map2(skiatest::Reporter* reporter, const SkMatrix44& mat) {
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SkMScalar src2[] = { 1, 2 };
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SkMScalar src4[] = { src2[0], src2[1], 0, 1 };
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SkMScalar dstA[4], dstB[4];
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for (int i = 0; i < 4; ++i) {
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dstA[i] = 123456789;
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dstB[i] = 987654321;
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}
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mat.map2(src2, 1, dstA);
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mat.mapMScalars(src4, dstB);
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for (int i = 0; i < 4; ++i) {
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REPORTER_ASSERT(reporter, dstA[i] == dstB[i]);
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}
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}
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static void test_map2(skiatest::Reporter* reporter) {
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SkMatrix44 mat(SkMatrix44::kUninitialized_Constructor);
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for (size_t i = 0; i < SK_ARRAY_COUNT(gMakeProcs); ++i) {
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gMakeProcs[i](&mat);
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test_map2(reporter, mat);
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}
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}
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static void test_gettype(skiatest::Reporter* reporter) {
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SkMatrix44 matrix(SkMatrix44::kIdentity_Constructor);
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REPORTER_ASSERT(reporter, matrix.isIdentity());
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REPORTER_ASSERT(reporter, SkMatrix44::kIdentity_Mask == matrix.getType());
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int expectedMask;
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matrix.set(1, 1, 0);
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expectedMask = SkMatrix44::kScale_Mask;
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REPORTER_ASSERT(reporter, matrix.getType() == expectedMask);
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matrix.set(0, 3, 1); // translate-x
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expectedMask |= SkMatrix44::kTranslate_Mask;
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REPORTER_ASSERT(reporter, matrix.getType() == expectedMask);
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matrix.set(2, 0, 1);
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expectedMask |= SkMatrix44::kAffine_Mask;
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REPORTER_ASSERT(reporter, matrix.getType() == expectedMask);
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matrix.set(3, 2, 1);
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REPORTER_ASSERT(reporter, matrix.getType() & SkMatrix44::kPerspective_Mask);
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// ensure that negative zero is treated as zero
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SkMScalar dx = 0;
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SkMScalar dy = 0;
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SkMScalar dz = 0;
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matrix.setTranslate(-dx, -dy, -dz);
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REPORTER_ASSERT(reporter, matrix.isIdentity());
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matrix.preTranslate(-dx, -dy, -dz);
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REPORTER_ASSERT(reporter, matrix.isIdentity());
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matrix.postTranslate(-dx, -dy, -dz);
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REPORTER_ASSERT(reporter, matrix.isIdentity());
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}
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static void test_common_angles(skiatest::Reporter* reporter) {
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SkMatrix44 rot(SkMatrix44::kUninitialized_Constructor);
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// Test precision of rotation in common cases
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int common_angles[] = { 0, 90, -90, 180, -180, 270, -270, 360, -360 };
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for (int i = 0; i < 9; ++i) {
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rot.setRotateDegreesAbout(0, 0, -1, SkIntToScalar(common_angles[i]));
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SkMatrix rot3x3 = rot;
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REPORTER_ASSERT(reporter, rot3x3.rectStaysRect());
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}
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}
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static void test_concat(skiatest::Reporter* reporter) {
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int i;
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SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
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SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
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SkMatrix44 c(SkMatrix44::kUninitialized_Constructor);
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SkMatrix44 d(SkMatrix44::kUninitialized_Constructor);
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a.setTranslate(10, 10, 10);
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b.setScale(2, 2, 2);
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SkScalar src[8] = {
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0, 0, 0, 1,
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1, 1, 1, 1
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};
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SkScalar dst[8];
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c.setConcat(a, b);
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d = a;
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d.preConcat(b);
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REPORTER_ASSERT(reporter, d == c);
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c.mapScalars(src, dst); c.mapScalars(src + 4, dst + 4);
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for (i = 0; i < 3; ++i) {
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REPORTER_ASSERT(reporter, 10 == dst[i]);
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REPORTER_ASSERT(reporter, 12 == dst[i + 4]);
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}
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c.setConcat(b, a);
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d = a;
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d.postConcat(b);
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REPORTER_ASSERT(reporter, d == c);
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c.mapScalars(src, dst); c.mapScalars(src + 4, dst + 4);
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for (i = 0; i < 3; ++i) {
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REPORTER_ASSERT(reporter, 20 == dst[i]);
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REPORTER_ASSERT(reporter, 22 == dst[i + 4]);
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}
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}
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static void test_determinant(skiatest::Reporter* reporter) {
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SkMatrix44 a(SkMatrix44::kIdentity_Constructor);
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REPORTER_ASSERT(reporter, nearly_equal_double(1, a.determinant()));
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a.set(1, 1, 2);
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REPORTER_ASSERT(reporter, nearly_equal_double(2, a.determinant()));
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SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
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REPORTER_ASSERT(reporter, a.invert(&b));
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REPORTER_ASSERT(reporter, nearly_equal_double(0.5, b.determinant()));
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SkMatrix44 c = b = a;
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c.set(0, 1, 4);
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b.set(1, 0, 4);
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REPORTER_ASSERT(reporter,
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nearly_equal_double(a.determinant(),
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b.determinant()));
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SkMatrix44 d = a;
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d.set(0, 0, 8);
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REPORTER_ASSERT(reporter, nearly_equal_double(16, d.determinant()));
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SkMatrix44 e = a;
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e.postConcat(d);
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REPORTER_ASSERT(reporter, nearly_equal_double(32, e.determinant()));
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e.set(0, 0, 0);
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REPORTER_ASSERT(reporter, nearly_equal_double(0, e.determinant()));
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}
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static void test_invert(skiatest::Reporter* reporter) {
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SkMatrix44 inverse(SkMatrix44::kUninitialized_Constructor);
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double inverseData[16];
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SkMatrix44 identity(SkMatrix44::kIdentity_Constructor);
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identity.invert(&inverse);
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inverse.asRowMajord(inverseData);
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assert16<double>(reporter, inverseData,
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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);
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SkMatrix44 translation(SkMatrix44::kUninitialized_Constructor);
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translation.setTranslate(2, 3, 4);
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translation.invert(&inverse);
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inverse.asRowMajord(inverseData);
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assert16<double>(reporter, inverseData,
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1, 0, 0, -2,
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0, 1, 0, -3,
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0, 0, 1, -4,
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0, 0, 0, 1);
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SkMatrix44 scale(SkMatrix44::kUninitialized_Constructor);
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scale.setScale(2, 4, 8);
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scale.invert(&inverse);
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inverse.asRowMajord(inverseData);
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assert16<double>(reporter, inverseData,
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0.5, 0, 0, 0,
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0, 0.25, 0, 0,
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0, 0, 0.125, 0,
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0, 0, 0, 1);
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SkMatrix44 scaleTranslation(SkMatrix44::kUninitialized_Constructor);
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scaleTranslation.setScale(10, 100, 1000);
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scaleTranslation.preTranslate(2, 3, 4);
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scaleTranslation.invert(&inverse);
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inverse.asRowMajord(inverseData);
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assert16<double>(reporter, inverseData,
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0.1, 0, 0, -2,
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0, 0.01, 0, -3,
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0, 0, 0.001, -4,
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0, 0, 0, 1);
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SkMatrix44 rotation(SkMatrix44::kUninitialized_Constructor);
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rotation.setRotateDegreesAbout(0, 0, 1, 90);
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rotation.invert(&inverse);
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SkMatrix44 expected(SkMatrix44::kUninitialized_Constructor);
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double expectedInverseRotation[16] =
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{0, 1, 0, 0,
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-1, 0, 0, 0,
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0, 0, 1, 0,
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0, 0, 0, 1};
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expected.setRowMajord(expectedInverseRotation);
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REPORTER_ASSERT(reporter, nearly_equal(expected, inverse));
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SkMatrix44 affine(SkMatrix44::kUninitialized_Constructor);
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affine.setRotateDegreesAbout(0, 0, 1, 90);
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affine.preScale(10, 20, 100);
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affine.preTranslate(2, 3, 4);
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affine.invert(&inverse);
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double expectedInverseAffine[16] =
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{0, 0.1, 0, -2,
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-0.05, 0, 0, -3,
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0, 0, 0.01, -4,
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0, 0, 0, 1};
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expected.setRowMajord(expectedInverseAffine);
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REPORTER_ASSERT(reporter, nearly_equal(expected, inverse));
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SkMatrix44 perspective(SkMatrix44::kIdentity_Constructor);
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perspective.setDouble(3, 2, 1.0);
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perspective.invert(&inverse);
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double expectedInversePerspective[16] =
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{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, -1, 1};
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expected.setRowMajord(expectedInversePerspective);
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REPORTER_ASSERT(reporter, nearly_equal(expected, inverse));
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SkMatrix44 affineAndPerspective(SkMatrix44::kIdentity_Constructor);
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affineAndPerspective.setDouble(3, 2, 1.0);
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affineAndPerspective.preScale(10, 20, 100);
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affineAndPerspective.preTranslate(2, 3, 4);
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affineAndPerspective.invert(&inverse);
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double expectedInverseAffineAndPerspective[16] =
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{0.1, 0, 2, -2,
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0, 0.05, 3, -3,
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0, 0, 4.01, -4,
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0, 0, -1, 1};
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expected.setRowMajord(expectedInverseAffineAndPerspective);
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REPORTER_ASSERT(reporter, nearly_equal(expected, inverse));
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}
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static void test_transpose(skiatest::Reporter* reporter) {
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SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
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SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
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int i = 0;
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for (int row = 0; row < 4; ++row) {
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for (int col = 0; col < 4; ++col) {
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a.setDouble(row, col, i);
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b.setDouble(col, row, i++);
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}
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}
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a.transpose();
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REPORTER_ASSERT(reporter, nearly_equal(a, b));
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}
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static void test_get_set_double(skiatest::Reporter* reporter) {
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SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
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for (int row = 0; row < 4; ++row) {
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for (int col = 0; col < 4; ++col) {
|
|
a.setDouble(row, col, 3.141592653589793);
|
|
REPORTER_ASSERT(reporter,
|
|
nearly_equal_double(3.141592653589793,
|
|
a.getDouble(row, col)));
|
|
a.setDouble(row, col, 0);
|
|
REPORTER_ASSERT(reporter,
|
|
nearly_equal_double(0, a.getDouble(row, col)));
|
|
}
|
|
}
|
|
}
|
|
|
|
static void test_set_row_col_major(skiatest::Reporter* reporter) {
|
|
SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
|
|
SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
|
|
|
|
for (int row = 0; row < 4; ++row) {
|
|
for (int col = 0; col < 4; ++col) {
|
|
a.setDouble(row, col, row * 4 + col);
|
|
}
|
|
}
|
|
|
|
double bufferd[16];
|
|
float bufferf[16];
|
|
a.asColMajord(bufferd);
|
|
b.setColMajord(bufferd);
|
|
REPORTER_ASSERT(reporter, nearly_equal(a, b));
|
|
b.setRowMajord(bufferd);
|
|
b.transpose();
|
|
REPORTER_ASSERT(reporter, nearly_equal(a, b));
|
|
a.asColMajorf(bufferf);
|
|
b.setColMajorf(bufferf);
|
|
REPORTER_ASSERT(reporter, nearly_equal(a, b));
|
|
b.setRowMajorf(bufferf);
|
|
b.transpose();
|
|
REPORTER_ASSERT(reporter, nearly_equal(a, b));
|
|
}
|
|
|
|
static void test_3x3_conversion(skiatest::Reporter* reporter) {
|
|
SkMScalar values4x4[16] = { 1, 2, 3, 4,
|
|
5, 6, 7, 8,
|
|
9, 10, 11, 12,
|
|
13, 14, 15, 16 };
|
|
SkScalar values3x3[9] = { 1, 2, 4,
|
|
5, 6, 8,
|
|
13, 14, 16 };
|
|
SkMScalar values4x4flattened[16] = { 1, 2, 0, 4,
|
|
5, 6, 0, 8,
|
|
0, 0, 1, 0,
|
|
13, 14, 0, 16 };
|
|
SkMatrix44 a44(SkMatrix44::kUninitialized_Constructor);
|
|
a44.setRowMajor(values4x4);
|
|
|
|
SkMatrix a33 = a44;
|
|
SkMatrix expected33;
|
|
for (int i = 0; i < 9; i++) expected33[i] = values3x3[i];
|
|
REPORTER_ASSERT(reporter, expected33 == a33);
|
|
|
|
SkMatrix44 a44flattened = a33;
|
|
SkMatrix44 expected44flattened(SkMatrix44::kUninitialized_Constructor);
|
|
expected44flattened.setRowMajor(values4x4flattened);
|
|
REPORTER_ASSERT(reporter, nearly_equal(a44flattened, expected44flattened));
|
|
|
|
// Test that a point with a Z value of 0 is transformed the same way.
|
|
SkScalar vec4[4] = { 2, 4, 0, 8 };
|
|
SkScalar vec3[3] = { 2, 4, 8 };
|
|
|
|
SkScalar vec4transformed[4];
|
|
SkScalar vec3transformed[3];
|
|
SkScalar vec4transformed2[4];
|
|
a44.mapScalars(vec4, vec4transformed);
|
|
a33.mapHomogeneousPoints(vec3transformed, vec3, 1);
|
|
a44flattened.mapScalars(vec4, vec4transformed2);
|
|
REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[0], vec3transformed[0]));
|
|
REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[1], vec3transformed[1]));
|
|
REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[3], vec3transformed[2]));
|
|
REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[0], vec4transformed2[0]));
|
|
REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[1], vec4transformed2[1]));
|
|
REPORTER_ASSERT(reporter, !nearly_equal_scalar(vec4transformed[2], vec4transformed2[2]));
|
|
REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[3], vec4transformed2[3]));
|
|
}
|
|
|
|
static void test_has_perspective(skiatest::Reporter* reporter) {
|
|
SkMatrix44 transform(SkMatrix44::kIdentity_Constructor);
|
|
|
|
transform.set(3, 2, -0.1);
|
|
REPORTER_ASSERT(reporter, transform.hasPerspective());
|
|
|
|
transform.reset();
|
|
REPORTER_ASSERT(reporter, !transform.hasPerspective());
|
|
|
|
transform.set(3, 0, -1.0);
|
|
REPORTER_ASSERT(reporter, transform.hasPerspective());
|
|
|
|
transform.reset();
|
|
transform.set(3, 1, -1.0);
|
|
REPORTER_ASSERT(reporter, transform.hasPerspective());
|
|
|
|
transform.reset();
|
|
transform.set(3, 2, -0.3);
|
|
REPORTER_ASSERT(reporter, transform.hasPerspective());
|
|
|
|
transform.reset();
|
|
transform.set(3, 3, 0.5);
|
|
REPORTER_ASSERT(reporter, transform.hasPerspective());
|
|
|
|
transform.reset();
|
|
transform.set(3, 3, 0.0);
|
|
REPORTER_ASSERT(reporter, transform.hasPerspective());
|
|
}
|
|
|
|
static bool is_rectilinear (SkVector4& p1, SkVector4& p2, SkVector4& p3, SkVector4& p4) {
|
|
return (SkScalarNearlyEqual(p1.fData[0], p2.fData[0]) &&
|
|
SkScalarNearlyEqual(p2.fData[1], p3.fData[1]) &&
|
|
SkScalarNearlyEqual(p3.fData[0], p4.fData[0]) &&
|
|
SkScalarNearlyEqual(p4.fData[1], p1.fData[1])) ||
|
|
(SkScalarNearlyEqual(p1.fData[1], p2.fData[1]) &&
|
|
SkScalarNearlyEqual(p2.fData[0], p3.fData[0]) &&
|
|
SkScalarNearlyEqual(p3.fData[1], p4.fData[1]) &&
|
|
SkScalarNearlyEqual(p4.fData[0], p1.fData[0]));
|
|
}
|
|
|
|
static SkVector4 mul_with_persp_divide(const SkMatrix44& transform, const SkVector4& target) {
|
|
SkVector4 result = transform * target;
|
|
if (result.fData[3] != 0.0f && result.fData[3] != SK_Scalar1) {
|
|
float wInverse = SK_Scalar1 / result.fData[3];
|
|
result.set(result.fData[0] * wInverse,
|
|
result.fData[1] * wInverse,
|
|
result.fData[2] * wInverse,
|
|
SK_Scalar1);
|
|
}
|
|
return result;
|
|
}
|
|
|
|
static bool empirically_preserves_2d_axis_alignment(skiatest::Reporter* reporter,
|
|
const SkMatrix44& transform) {
|
|
SkVector4 p1(5.0f, 5.0f, 0.0f);
|
|
SkVector4 p2(10.0f, 5.0f, 0.0f);
|
|
SkVector4 p3(10.0f, 20.0f, 0.0f);
|
|
SkVector4 p4(5.0f, 20.0f, 0.0f);
|
|
|
|
REPORTER_ASSERT(reporter, is_rectilinear(p1, p2, p3, p4));
|
|
|
|
p1 = mul_with_persp_divide(transform, p1);
|
|
p2 = mul_with_persp_divide(transform, p2);
|
|
p3 = mul_with_persp_divide(transform, p3);
|
|
p4 = mul_with_persp_divide(transform, p4);
|
|
|
|
return is_rectilinear(p1, p2, p3, p4);
|
|
}
|
|
|
|
static void test(bool expected, skiatest::Reporter* reporter, const SkMatrix44& transform) {
|
|
if (expected) {
|
|
REPORTER_ASSERT(reporter, empirically_preserves_2d_axis_alignment(reporter, transform));
|
|
REPORTER_ASSERT(reporter, transform.preserves2dAxisAlignment());
|
|
} else {
|
|
REPORTER_ASSERT(reporter, !empirically_preserves_2d_axis_alignment(reporter, transform));
|
|
REPORTER_ASSERT(reporter, !transform.preserves2dAxisAlignment());
|
|
}
|
|
}
|
|
|
|
static void test_preserves_2d_axis_alignment(skiatest::Reporter* reporter) {
|
|
SkMatrix44 transform(SkMatrix44::kUninitialized_Constructor);
|
|
SkMatrix44 transform2(SkMatrix44::kUninitialized_Constructor);
|
|
|
|
static const struct TestCase {
|
|
SkMScalar a; // row 1, column 1
|
|
SkMScalar b; // row 1, column 2
|
|
SkMScalar c; // row 2, column 1
|
|
SkMScalar d; // row 2, column 2
|
|
bool expected;
|
|
} test_cases[] = {
|
|
{ 3.f, 0.f,
|
|
0.f, 4.f, true }, // basic case
|
|
{ 0.f, 4.f,
|
|
3.f, 0.f, true }, // rotate by 90
|
|
{ 0.f, 0.f,
|
|
0.f, 4.f, true }, // degenerate x
|
|
{ 3.f, 0.f,
|
|
0.f, 0.f, true }, // degenerate y
|
|
{ 0.f, 0.f,
|
|
3.f, 0.f, true }, // degenerate x + rotate by 90
|
|
{ 0.f, 4.f,
|
|
0.f, 0.f, true }, // degenerate y + rotate by 90
|
|
{ 3.f, 4.f,
|
|
0.f, 0.f, false },
|
|
{ 0.f, 0.f,
|
|
3.f, 4.f, false },
|
|
{ 0.f, 3.f,
|
|
0.f, 4.f, false },
|
|
{ 3.f, 0.f,
|
|
4.f, 0.f, false },
|
|
{ 3.f, 4.f,
|
|
5.f, 0.f, false },
|
|
{ 3.f, 4.f,
|
|
0.f, 5.f, false },
|
|
{ 3.f, 0.f,
|
|
4.f, 5.f, false },
|
|
{ 0.f, 3.f,
|
|
4.f, 5.f, false },
|
|
{ 2.f, 3.f,
|
|
4.f, 5.f, false },
|
|
};
|
|
|
|
for (size_t i = 0; i < sizeof(test_cases)/sizeof(TestCase); ++i) {
|
|
const TestCase& value = test_cases[i];
|
|
transform.setIdentity();
|
|
transform.set(0, 0, value.a);
|
|
transform.set(0, 1, value.b);
|
|
transform.set(1, 0, value.c);
|
|
transform.set(1, 1, value.d);
|
|
|
|
test(value.expected, reporter, transform);
|
|
}
|
|
|
|
// Try the same test cases again, but this time make sure that other matrix
|
|
// elements (except perspective) have entries, to test that they are ignored.
|
|
for (size_t i = 0; i < sizeof(test_cases)/sizeof(TestCase); ++i) {
|
|
const TestCase& value = test_cases[i];
|
|
transform.setIdentity();
|
|
transform.set(0, 0, value.a);
|
|
transform.set(0, 1, value.b);
|
|
transform.set(1, 0, value.c);
|
|
transform.set(1, 1, value.d);
|
|
|
|
transform.set(0, 2, 1.f);
|
|
transform.set(0, 3, 2.f);
|
|
transform.set(1, 2, 3.f);
|
|
transform.set(1, 3, 4.f);
|
|
transform.set(2, 0, 5.f);
|
|
transform.set(2, 1, 6.f);
|
|
transform.set(2, 2, 7.f);
|
|
transform.set(2, 3, 8.f);
|
|
|
|
test(value.expected, reporter, transform);
|
|
}
|
|
|
|
// Try the same test cases again, but this time add perspective which is
|
|
// always assumed to not-preserve axis alignment.
|
|
for (size_t i = 0; i < sizeof(test_cases)/sizeof(TestCase); ++i) {
|
|
const TestCase& value = test_cases[i];
|
|
transform.setIdentity();
|
|
transform.set(0, 0, value.a);
|
|
transform.set(0, 1, value.b);
|
|
transform.set(1, 0, value.c);
|
|
transform.set(1, 1, value.d);
|
|
|
|
transform.set(0, 2, 1.f);
|
|
transform.set(0, 3, 2.f);
|
|
transform.set(1, 2, 3.f);
|
|
transform.set(1, 3, 4.f);
|
|
transform.set(2, 0, 5.f);
|
|
transform.set(2, 1, 6.f);
|
|
transform.set(2, 2, 7.f);
|
|
transform.set(2, 3, 8.f);
|
|
transform.set(3, 0, 9.f);
|
|
transform.set(3, 1, 10.f);
|
|
transform.set(3, 2, 11.f);
|
|
transform.set(3, 3, 12.f);
|
|
|
|
test(false, reporter, transform);
|
|
}
|
|
|
|
// Try a few more practical situations to check precision
|
|
// Reuse TestCase (a, b, c, d) as (x, y, z, degrees) axis to rotate about.
|
|
TestCase rotation_tests[] = {
|
|
{ 0.0, 0.0, 1.0, 90.0, true },
|
|
{ 0.0, 0.0, 1.0, 180.0, true },
|
|
{ 0.0, 0.0, 1.0, 270.0, true },
|
|
{ 0.0, 1.0, 0.0, 90.0, true },
|
|
{ 1.0, 0.0, 0.0, 90.0, true },
|
|
{ 0.0, 0.0, 1.0, 45.0, false },
|
|
// In 3d these next two are non-preserving, but we're testing in 2d after
|
|
// orthographic projection, where they are.
|
|
{ 0.0, 1.0, 0.0, 45.0, true },
|
|
{ 1.0, 0.0, 0.0, 45.0, true },
|
|
};
|
|
|
|
for (size_t i = 0; i < sizeof(rotation_tests)/sizeof(TestCase); ++i) {
|
|
const TestCase& value = rotation_tests[i];
|
|
transform.setRotateDegreesAbout(value.a, value.b, value.c, value.d);
|
|
test(value.expected, reporter, transform);
|
|
}
|
|
|
|
static const struct DoubleRotationCase {
|
|
SkMScalar x1;
|
|
SkMScalar y1;
|
|
SkMScalar z1;
|
|
SkMScalar degrees1;
|
|
SkMScalar x2;
|
|
SkMScalar y2;
|
|
SkMScalar z2;
|
|
SkMScalar degrees2;
|
|
bool expected;
|
|
} double_rotation_tests[] = {
|
|
{ 0.0, 0.0, 1.0, 90.0, 0.0, 1.0, 0.0, 90.0, true },
|
|
{ 0.0, 0.0, 1.0, 90.0, 1.0, 0.0, 0.0, 90.0, true },
|
|
{ 0.0, 1.0, 0.0, 90.0, 0.0, 0.0, 1.0, 90.0, true },
|
|
};
|
|
|
|
for (size_t i = 0; i < sizeof(double_rotation_tests)/sizeof(DoubleRotationCase); ++i) {
|
|
const DoubleRotationCase& value = double_rotation_tests[i];
|
|
transform.setRotateDegreesAbout(value.x1, value.y1, value.z1, value.degrees1);
|
|
transform2.setRotateDegreesAbout(value.x2, value.y2, value.z2, value.degrees2);
|
|
transform.postConcat(transform2);
|
|
test(value.expected, reporter, transform);
|
|
}
|
|
|
|
// Perspective cases.
|
|
transform.setIdentity();
|
|
transform.set(3, 2, -0.1); // Perspective depth 10
|
|
transform2.setRotateDegreesAbout(0.0, 1.0, 0.0, 45.0);
|
|
transform.preConcat(transform2);
|
|
test(false, reporter, transform);
|
|
|
|
transform.setIdentity();
|
|
transform.set(3, 2, -0.1); // Perspective depth 10
|
|
transform2.setRotateDegreesAbout(0.0, 0.0, 1.0, 90.0);
|
|
transform.preConcat(transform2);
|
|
test(true, reporter, transform);
|
|
}
|
|
|
|
// just want to exercise the various converters for MScalar
|
|
static void test_toint(skiatest::Reporter* reporter) {
|
|
SkMatrix44 mat(SkMatrix44::kUninitialized_Constructor);
|
|
mat.setScale(3, 3, 3);
|
|
|
|
SkMScalar sum = SkMScalarFloor(mat.get(0, 0)) +
|
|
SkMScalarRound(mat.get(1, 0)) +
|
|
SkMScalarCeil(mat.get(2, 0));
|
|
int isum = SkMScalarFloorToInt(mat.get(0, 1)) +
|
|
SkMScalarRoundToInt(mat.get(1, 2)) +
|
|
SkMScalarCeilToInt(mat.get(2, 3));
|
|
REPORTER_ASSERT(reporter, sum >= 0);
|
|
REPORTER_ASSERT(reporter, isum >= 0);
|
|
REPORTER_ASSERT(reporter, static_cast<SkMScalar>(isum) == SkIntToMScalar(isum));
|
|
}
|
|
|
|
DEF_TEST(Matrix44, reporter) {
|
|
SkMatrix44 mat(SkMatrix44::kUninitialized_Constructor);
|
|
SkMatrix44 inverse(SkMatrix44::kUninitialized_Constructor);
|
|
SkMatrix44 iden1(SkMatrix44::kUninitialized_Constructor);
|
|
SkMatrix44 iden2(SkMatrix44::kUninitialized_Constructor);
|
|
SkMatrix44 rot(SkMatrix44::kUninitialized_Constructor);
|
|
|
|
mat.setTranslate(1, 1, 1);
|
|
mat.invert(&inverse);
|
|
iden1.setConcat(mat, inverse);
|
|
REPORTER_ASSERT(reporter, is_identity(iden1));
|
|
|
|
mat.setScale(2, 2, 2);
|
|
mat.invert(&inverse);
|
|
iden1.setConcat(mat, inverse);
|
|
REPORTER_ASSERT(reporter, is_identity(iden1));
|
|
|
|
mat.setScale(SK_MScalar1/2, SK_MScalar1/2, SK_MScalar1/2);
|
|
mat.invert(&inverse);
|
|
iden1.setConcat(mat, inverse);
|
|
REPORTER_ASSERT(reporter, is_identity(iden1));
|
|
|
|
mat.setScale(3, 3, 3);
|
|
rot.setRotateDegreesAbout(0, 0, -1, 90);
|
|
mat.postConcat(rot);
|
|
REPORTER_ASSERT(reporter, mat.invert(NULL));
|
|
mat.invert(&inverse);
|
|
iden1.setConcat(mat, inverse);
|
|
REPORTER_ASSERT(reporter, is_identity(iden1));
|
|
iden2.setConcat(inverse, mat);
|
|
REPORTER_ASSERT(reporter, is_identity(iden2));
|
|
|
|
// test tiny-valued matrix inverse
|
|
mat.reset();
|
|
mat.setScale(1.0e-12, 1.0e-12, 1.0e-12);
|
|
rot.setRotateDegreesAbout(0, 0, -1, 90);
|
|
mat.postConcat(rot);
|
|
mat.postTranslate(1.0e-12, 1.0e-12, 1.0e-12);
|
|
REPORTER_ASSERT(reporter, mat.invert(NULL));
|
|
mat.invert(&inverse);
|
|
iden1.setConcat(mat, inverse);
|
|
REPORTER_ASSERT(reporter, is_identity(iden1));
|
|
|
|
// test mixed-valued matrix inverse
|
|
mat.reset();
|
|
mat.setScale(1.0e-10, 3.0, 1.0e+10);
|
|
rot.setRotateDegreesAbout(0, 0, -1, 90);
|
|
mat.postConcat(rot);
|
|
mat.postTranslate(1.0e+10, 3.0, 1.0e-10);
|
|
REPORTER_ASSERT(reporter, mat.invert(NULL));
|
|
mat.invert(&inverse);
|
|
iden1.setConcat(mat, inverse);
|
|
REPORTER_ASSERT(reporter, is_identity(iden1));
|
|
|
|
// test degenerate matrix
|
|
mat.reset();
|
|
mat.set3x3(1.0, 1.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0, 0.0);
|
|
REPORTER_ASSERT(reporter, !mat.invert(NULL));
|
|
|
|
// test rol/col Major getters
|
|
{
|
|
mat.setTranslate(2, 3, 4);
|
|
float dataf[16];
|
|
double datad[16];
|
|
|
|
mat.asColMajorf(dataf);
|
|
assert16<float>(reporter, dataf,
|
|
1, 0, 0, 0,
|
|
0, 1, 0, 0,
|
|
0, 0, 1, 0,
|
|
2, 3, 4, 1);
|
|
mat.asColMajord(datad);
|
|
assert16<double>(reporter, datad, 1, 0, 0, 0,
|
|
0, 1, 0, 0,
|
|
0, 0, 1, 0,
|
|
2, 3, 4, 1);
|
|
mat.asRowMajorf(dataf);
|
|
assert16<float>(reporter, dataf, 1, 0, 0, 2,
|
|
0, 1, 0, 3,
|
|
0, 0, 1, 4,
|
|
0, 0, 0, 1);
|
|
mat.asRowMajord(datad);
|
|
assert16<double>(reporter, datad, 1, 0, 0, 2,
|
|
0, 1, 0, 3,
|
|
0, 0, 1, 4,
|
|
0, 0, 0, 1);
|
|
}
|
|
|
|
test_concat(reporter);
|
|
|
|
if (false) { // avoid bit rot, suppress warning (working on making this pass)
|
|
test_common_angles(reporter);
|
|
}
|
|
|
|
test_constructor(reporter);
|
|
test_gettype(reporter);
|
|
test_determinant(reporter);
|
|
test_invert(reporter);
|
|
test_transpose(reporter);
|
|
test_get_set_double(reporter);
|
|
test_set_row_col_major(reporter);
|
|
test_translate(reporter);
|
|
test_scale(reporter);
|
|
test_map2(reporter);
|
|
test_3x3_conversion(reporter);
|
|
test_has_perspective(reporter);
|
|
test_preserves_2d_axis_alignment(reporter);
|
|
test_toint(reporter);
|
|
}
|