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// Copyright 2013 The Flutter Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.
#include "flutter/flow/matrix_decomposition.h"
#include <cmath>
#include "gtest/gtest.h"
namespace flutter {
namespace testing {
TEST(MatrixDecomposition, Rotation) {
SkM44 matrix;
const auto angle = M_PI_4;
matrix.setRotate({0.0, 0.0, 1.0}, angle);
flutter::MatrixDecomposition decomposition(matrix);
ASSERT_TRUE(decomposition.IsValid());
const auto sine = sin(angle * 0.5);
ASSERT_FLOAT_EQ(0, decomposition.rotation().x);
ASSERT_FLOAT_EQ(0, decomposition.rotation().y);
ASSERT_FLOAT_EQ(sine, decomposition.rotation().z);
ASSERT_FLOAT_EQ(cos(angle * 0.5), decomposition.rotation().w);
}
TEST(MatrixDecomposition, Scale) {
SkM44 matrix;
const auto scale = 5.0;
matrix.setScale(scale + 0, scale + 1, scale + 2);
flutter::MatrixDecomposition decomposition(matrix);
ASSERT_TRUE(decomposition.IsValid());
ASSERT_FLOAT_EQ(scale + 0, decomposition.scale().x);
ASSERT_FLOAT_EQ(scale + 1, decomposition.scale().y);
ASSERT_FLOAT_EQ(scale + 2, decomposition.scale().z);
}
TEST(MatrixDecomposition, Translate) {
SkM44 matrix;
const auto translate = 125.0;
matrix.setTranslate(translate + 0, translate + 1, translate + 2);
flutter::MatrixDecomposition decomposition(matrix);
ASSERT_TRUE(decomposition.IsValid());
ASSERT_FLOAT_EQ(translate + 0, decomposition.translation().x);
ASSERT_FLOAT_EQ(translate + 1, decomposition.translation().y);
ASSERT_FLOAT_EQ(translate + 2, decomposition.translation().z);
}
TEST(MatrixDecomposition, Combination) {
const auto rotation = M_PI_4;
const auto scale = 5;
const auto translate = 125.0;
SkM44 m1;
m1.setRotate({0, 0, 1}, rotation);
SkM44 m2;
m2.setScale(scale, scale, scale);
SkM44 m3;
m3.setTranslate(translate, translate, translate);
SkM44 combined = m3 * m2 * m1;
flutter::MatrixDecomposition decomposition(combined);
ASSERT_TRUE(decomposition.IsValid());
ASSERT_FLOAT_EQ(translate, decomposition.translation().x);
ASSERT_FLOAT_EQ(translate, decomposition.translation().y);
ASSERT_FLOAT_EQ(translate, decomposition.translation().z);
ASSERT_FLOAT_EQ(scale, decomposition.scale().x);
ASSERT_FLOAT_EQ(scale, decomposition.scale().y);
ASSERT_FLOAT_EQ(scale, decomposition.scale().z);
const auto sine = sin(rotation * 0.5);
ASSERT_FLOAT_EQ(0, decomposition.rotation().x);
ASSERT_FLOAT_EQ(0, decomposition.rotation().y);
ASSERT_FLOAT_EQ(sine, decomposition.rotation().z);
ASSERT_FLOAT_EQ(cos(rotation * 0.5), decomposition.rotation().w);
}
TEST(MatrixDecomposition, ScaleFloatError) {
constexpr float scale_increment = 0.00001f;
float scale = 0.0001f;
while (scale < 2.0f) {
SkM44 matrix;
matrix.setScale(scale, scale, 1.0f);
flutter::MatrixDecomposition decomposition3(matrix);
ASSERT_TRUE(decomposition3.IsValid());
ASSERT_FLOAT_EQ(scale, decomposition3.scale().x);
ASSERT_FLOAT_EQ(scale, decomposition3.scale().y);
ASSERT_FLOAT_EQ(1.f, decomposition3.scale().z);
ASSERT_FLOAT_EQ(0, decomposition3.rotation().x);
ASSERT_FLOAT_EQ(0, decomposition3.rotation().y);
ASSERT_FLOAT_EQ(0, decomposition3.rotation().z);
scale += scale_increment;
}
SkM44 matrix;
const auto scale1 = 1.7734375f;
matrix.setScale(scale1, scale1, 1.f);
// Bug upper bound (empirical)
const auto scale2 = 1.773437559603f;
SkM44 matrix2;
matrix2.setScale(scale2, scale2, 1.f);
// Bug lower bound (empirical)
const auto scale3 = 1.7734374403954f;
SkM44 matrix3;
matrix3.setScale(scale3, scale3, 1.f);
flutter::MatrixDecomposition decomposition(matrix);
ASSERT_TRUE(decomposition.IsValid());
flutter::MatrixDecomposition decomposition2(matrix2);
ASSERT_TRUE(decomposition2.IsValid());
flutter::MatrixDecomposition decomposition3(matrix3);
ASSERT_TRUE(decomposition3.IsValid());
ASSERT_FLOAT_EQ(scale1, decomposition.scale().x);
ASSERT_FLOAT_EQ(scale1, decomposition.scale().y);
ASSERT_FLOAT_EQ(1.f, decomposition.scale().z);
ASSERT_FLOAT_EQ(0, decomposition.rotation().x);
ASSERT_FLOAT_EQ(0, decomposition.rotation().y);
ASSERT_FLOAT_EQ(0, decomposition.rotation().z);
ASSERT_FLOAT_EQ(scale2, decomposition2.scale().x);
ASSERT_FLOAT_EQ(scale2, decomposition2.scale().y);
ASSERT_FLOAT_EQ(1.f, decomposition2.scale().z);
ASSERT_FLOAT_EQ(0, decomposition2.rotation().x);
ASSERT_FLOAT_EQ(0, decomposition2.rotation().y);
ASSERT_FLOAT_EQ(0, decomposition2.rotation().z);
ASSERT_FLOAT_EQ(scale3, decomposition3.scale().x);
ASSERT_FLOAT_EQ(scale3, decomposition3.scale().y);
ASSERT_FLOAT_EQ(1.f, decomposition3.scale().z);
ASSERT_FLOAT_EQ(0, decomposition3.rotation().x);
ASSERT_FLOAT_EQ(0, decomposition3.rotation().y);
ASSERT_FLOAT_EQ(0, decomposition3.rotation().z);
}
} // namespace testing
} // namespace flutter