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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 "gtest/gtest.h"
#include "impeller/geometry/geometry_asserts.h"
#include <limits>
#include <map>
#include <sstream>
#include <type_traits>
#include "flutter/fml/build_config.h"
#include "flutter/testing/testing.h"
#include "impeller/geometry/color.h"
#include "impeller/geometry/constants.h"
#include "impeller/geometry/gradient.h"
#include "impeller/geometry/half.h"
#include "impeller/geometry/point.h"
#include "impeller/geometry/rect.h"
#include "impeller/geometry/scalar.h"
#include "impeller/geometry/size.h"
// TODO(zanderso): https://github.com/flutter/flutter/issues/127701
// NOLINTBEGIN(bugprone-unchecked-optional-access)
namespace impeller {
namespace testing {
TEST(GeometryTest, ScalarNearlyEqual) {
ASSERT_FALSE(ScalarNearlyEqual(0.0021f, 0.001f));
ASSERT_TRUE(ScalarNearlyEqual(0.0019f, 0.001f));
ASSERT_TRUE(ScalarNearlyEqual(0.002f, 0.001f, 0.0011f));
ASSERT_FALSE(ScalarNearlyEqual(0.002f, 0.001f, 0.0009f));
ASSERT_TRUE(ScalarNearlyEqual(
1.0f, 1.0f + std::numeric_limits<float>::epsilon() * 4));
}
TEST(GeometryTest, MakeColumn) {
auto matrix = Matrix::MakeColumn(1, 2, 3, 4, //
5, 6, 7, 8, //
9, 10, 11, 12, //
13, 14, 15, 16);
auto expect = Matrix{1, 2, 3, 4, //
5, 6, 7, 8, //
9, 10, 11, 12, //
13, 14, 15, 16};
ASSERT_TRUE(matrix == expect);
}
TEST(GeometryTest, MakeRow) {
auto matrix = Matrix::MakeRow(1, 2, 3, 4, //
5, 6, 7, 8, //
9, 10, 11, 12, //
13, 14, 15, 16);
auto expect = Matrix{1, 5, 9, 13, //
2, 6, 10, 14, //
3, 7, 11, 15, //
4, 8, 12, 16};
ASSERT_TRUE(matrix == expect);
}
TEST(GeometryTest, RotationMatrix) {
auto rotation = Matrix::MakeRotationZ(Radians{kPiOver4});
// clang-format off
auto expect = Matrix{k1OverSqrt2, k1OverSqrt2, 0, 0,
-k1OverSqrt2, k1OverSqrt2, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1};
// clang-format on
ASSERT_MATRIX_NEAR(rotation, expect);
}
TEST(GeometryTest, InvertMultMatrix) {
{
auto rotation = Matrix::MakeRotationZ(Radians{kPiOver4});
auto invert = rotation.Invert();
// clang-format off
auto expect = Matrix{k1OverSqrt2, -k1OverSqrt2, 0, 0,
k1OverSqrt2, k1OverSqrt2, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1};
// clang-format on
ASSERT_MATRIX_NEAR(invert, expect);
}
{
auto scale = Matrix::MakeScale(Vector2{2, 4});
auto invert = scale.Invert();
auto expect = Matrix{0.5, 0, 0, 0, //
0, 0.25, 0, 0, //
0, 0, 1, 0, //
0, 0, 0, 1};
ASSERT_MATRIX_NEAR(invert, expect);
}
}
TEST(GeometryTest, MatrixBasis) {
auto matrix = Matrix{1, 2, 3, 4, //
5, 6, 7, 8, //
9, 10, 11, 12, //
13, 14, 15, 16};
auto basis = matrix.Basis();
auto expect = Matrix{1, 2, 3, 0, //
5, 6, 7, 0, //
9, 10, 11, 0, //
0, 0, 0, 1};
ASSERT_MATRIX_NEAR(basis, expect);
}
TEST(GeometryTest, MutliplicationMatrix) {
auto rotation = Matrix::MakeRotationZ(Radians{kPiOver4});
auto invert = rotation.Invert();
ASSERT_MATRIX_NEAR(rotation * invert, Matrix{});
}
TEST(GeometryTest, DeterminantTest) {
auto matrix = Matrix{3, 4, 14, 155, 2, 1, 3, 4, 2, 3, 2, 1, 1, 2, 4, 2};
ASSERT_EQ(matrix.GetDeterminant(), -1889);
}
TEST(GeometryTest, InvertMatrix) {
auto inverted = Matrix{10, -9, -12, 8, //
7, -12, 11, 22, //
-10, 10, 3, 6, //
-2, 22, 2, 1}
.Invert();
auto result = Matrix{
438.0 / 85123.0, 1751.0 / 85123.0, -7783.0 / 85123.0, 4672.0 / 85123.0,
393.0 / 85123.0, -178.0 / 85123.0, -570.0 / 85123.0, 4192 / 85123.0,
-5230.0 / 85123.0, 2802.0 / 85123.0, -3461.0 / 85123.0, 962.0 / 85123.0,
2690.0 / 85123.0, 1814.0 / 85123.0, 3896.0 / 85123.0, 319.0 / 85123.0};
ASSERT_MATRIX_NEAR(inverted, result);
}
TEST(GeometryTest, TestDecomposition) {
auto rotated = Matrix::MakeRotationZ(Radians{kPiOver4});
auto result = rotated.Decompose();
ASSERT_TRUE(result.has_value());
MatrixDecomposition res = result.value();
auto quaternion = Quaternion{{0.0, 0.0, 1.0}, kPiOver4};
ASSERT_QUATERNION_NEAR(res.rotation, quaternion);
}
TEST(GeometryTest, TestDecomposition2) {
auto rotated = Matrix::MakeRotationZ(Radians{kPiOver4});
auto scaled = Matrix::MakeScale({2.0, 3.0, 1.0});
auto translated = Matrix::MakeTranslation({-200, 750, 20});
auto result = (translated * rotated * scaled).Decompose();
ASSERT_TRUE(result.has_value());
MatrixDecomposition res = result.value();
auto quaternion = Quaternion{{0.0, 0.0, 1.0}, kPiOver4};
ASSERT_QUATERNION_NEAR(res.rotation, quaternion);
ASSERT_FLOAT_EQ(res.translation.x, -200);
ASSERT_FLOAT_EQ(res.translation.y, 750);
ASSERT_FLOAT_EQ(res.translation.z, 20);
ASSERT_FLOAT_EQ(res.scale.x, 2);
ASSERT_FLOAT_EQ(res.scale.y, 3);
ASSERT_FLOAT_EQ(res.scale.z, 1);
}
TEST(GeometryTest, TestRecomposition) {
/*
* Decomposition.
*/
auto rotated = Matrix::MakeRotationZ(Radians{kPiOver4});
auto result = rotated.Decompose();
ASSERT_TRUE(result.has_value());
MatrixDecomposition res = result.value();
auto quaternion = Quaternion{{0.0, 0.0, 1.0}, kPiOver4};
ASSERT_QUATERNION_NEAR(res.rotation, quaternion);
/*
* Recomposition.
*/
ASSERT_MATRIX_NEAR(rotated, Matrix{res});
}
TEST(GeometryTest, TestRecomposition2) {
auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
Matrix::MakeRotationZ(Radians{kPiOver4}) *
Matrix::MakeScale({2.0, 2.0, 2.0});
auto result = matrix.Decompose();
ASSERT_TRUE(result.has_value());
ASSERT_MATRIX_NEAR(matrix, Matrix{result.value()});
}
TEST(GeometryTest, MatrixVectorMultiplication) {
{
auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
Matrix::MakeRotationZ(Radians{kPiOver2}) *
Matrix::MakeScale({2.0, 2.0, 2.0});
auto vector = Vector4(10, 20, 30, 2);
Vector4 result = matrix * vector;
auto expected = Vector4(160, 220, 260, 2);
ASSERT_VECTOR4_NEAR(result, expected);
}
{
auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
Matrix::MakeRotationZ(Radians{kPiOver2}) *
Matrix::MakeScale({2.0, 2.0, 2.0});
auto vector = Vector3(10, 20, 30);
Vector3 result = matrix * vector;
auto expected = Vector3(60, 120, 160);
ASSERT_VECTOR3_NEAR(result, expected);
}
{
auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
Matrix::MakeRotationZ(Radians{kPiOver2}) *
Matrix::MakeScale({2.0, 2.0, 2.0});
auto vector = Point(10, 20);
Point result = matrix * vector;
auto expected = Point(60, 120);
ASSERT_POINT_NEAR(result, expected);
}
// Matrix Vector ops should respect perspective transforms.
{
auto matrix = Matrix::MakePerspective(Radians(kPiOver2), 1, 1, 100);
auto vector = Vector3(3, 3, -3);
Vector3 result = matrix * vector;
auto expected = Vector3(-1, -1, 1.3468);
ASSERT_VECTOR3_NEAR(result, expected);
}
{
auto matrix = Matrix::MakePerspective(Radians(kPiOver2), 1, 1, 100) *
Matrix::MakeTranslation(Vector3(0, 0, -3));
auto point = Point(3, 3);
Point result = matrix * point;
auto expected = Point(-1, -1);
ASSERT_POINT_NEAR(result, expected);
}
// Resolves to 0 on perspective singularity.
{
auto matrix = Matrix::MakePerspective(Radians(kPiOver2), 1, 1, 100);
auto point = Point(3, 3);
Point result = matrix * point;
auto expected = Point(0, 0);
ASSERT_POINT_NEAR(result, expected);
}
}
TEST(GeometryTest, MatrixMakeRotationFromQuaternion) {
{
auto matrix = Matrix::MakeRotation(Quaternion({1, 0, 0}, kPiOver2));
auto expected = Matrix::MakeRotationX(Radians(kPiOver2));
ASSERT_MATRIX_NEAR(matrix, expected);
}
{
auto matrix = Matrix::MakeRotation(Quaternion({0, 1, 0}, kPiOver2));
auto expected = Matrix::MakeRotationY(Radians(kPiOver2));
ASSERT_MATRIX_NEAR(matrix, expected);
}
{
auto matrix = Matrix::MakeRotation(Quaternion({0, 0, 1}, kPiOver2));
auto expected = Matrix::MakeRotationZ(Radians(kPiOver2));
ASSERT_MATRIX_NEAR(matrix, expected);
}
}
TEST(GeometryTest, MatrixTransformDirection) {
{
auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
Matrix::MakeRotationZ(Radians{kPiOver2}) *
Matrix::MakeScale({2.0, 2.0, 2.0});
auto vector = Vector4(10, 20, 30, 2);
Vector4 result = matrix.TransformDirection(vector);
auto expected = Vector4(-40, 20, 60, 2);
ASSERT_VECTOR4_NEAR(result, expected);
}
{
auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
Matrix::MakeRotationZ(Radians{kPiOver2}) *
Matrix::MakeScale({2.0, 2.0, 2.0});
auto vector = Vector3(10, 20, 30);
Vector3 result = matrix.TransformDirection(vector);
auto expected = Vector3(-40, 20, 60);
ASSERT_VECTOR3_NEAR(result, expected);
}
{
auto matrix = Matrix::MakeTranslation({0, -0.4, 100}) *
Matrix::MakeRotationZ(Radians{kPiOver2}) *
Matrix::MakeScale({2.0, 2.0, 2.0});
auto vector = Point(10, 20);
Point result = matrix.TransformDirection(vector);
auto expected = Point(-40, 20);
ASSERT_POINT_NEAR(result, expected);
}
}
TEST(GeometryTest, MatrixGetMaxBasisLength) {
{
auto m = Matrix::MakeScale({3, 1, 1});
ASSERT_EQ(m.GetMaxBasisLength(), 3);
m = m * Matrix::MakeSkew(0, 4);
ASSERT_EQ(m.GetMaxBasisLength(), 5);
}
{
auto m = Matrix::MakeScale({-3, 4, 2});
ASSERT_EQ(m.GetMaxBasisLength(), 4);
}
}
TEST(GeometryTest, MatrixGetMaxBasisLengthXY) {
{
auto m = Matrix::MakeScale({3, 1, 1});
ASSERT_EQ(m.GetMaxBasisLengthXY(), 3);
m = m * Matrix::MakeSkew(0, 4);
ASSERT_EQ(m.GetMaxBasisLengthXY(), 5);
}
{
auto m = Matrix::MakeScale({-3, 4, 7});
ASSERT_EQ(m.GetMaxBasisLengthXY(), 4);
}
{
// clang-format off
auto m = Matrix::MakeColumn(
1.0f, 0.0f, 0.0f, 0.0f,
0.0f, 1.0f, 0.0f, 0.0f,
4.0f, 0.0f, 1.0f, 0.0f,
0.0f, 0.0f, 0.0f, 1.0f
);
// clang-format on
ASSERT_EQ(m.GetMaxBasisLengthXY(), 1.0f);
}
}
TEST(GeometryTest, MatrixMakeOrthographic) {
{
auto m = Matrix::MakeOrthographic(Size(100, 200));
auto expect = Matrix{
0.02, 0, 0, 0, //
0, -0.01, 0, 0, //
0, 0, 0, 0, //
-1, 1, 0.5, 1, //
};
ASSERT_MATRIX_NEAR(m, expect);
}
{
auto m = Matrix::MakeOrthographic(Size(400, 100));
auto expect = Matrix{
0.005, 0, 0, 0, //
0, -0.02, 0, 0, //
0, 0, 0, 0, //
-1, 1, 0.5, 1, //
};
ASSERT_MATRIX_NEAR(m, expect);
}
}
TEST(GeometryTest, MatrixMakePerspective) {
{
auto m = Matrix::MakePerspective(Degrees(60), Size(100, 200), 1, 10);
auto expect = Matrix{
3.4641, 0, 0, 0, //
0, 1.73205, 0, 0, //
0, 0, 1.11111, 1, //
0, 0, -1.11111, 0, //
};
ASSERT_MATRIX_NEAR(m, expect);
}
{
auto m = Matrix::MakePerspective(Radians(1), 2, 10, 20);
auto expect = Matrix{
0.915244, 0, 0, 0, //
0, 1.83049, 0, 0, //
0, 0, 2, 1, //
0, 0, -20, 0, //
};
ASSERT_MATRIX_NEAR(m, expect);
}
}
TEST(GeometryTest, MatrixGetBasisVectors) {
{
auto m = Matrix();
Vector3 x = m.GetBasisX();
Vector3 y = m.GetBasisY();
Vector3 z = m.GetBasisZ();
ASSERT_VECTOR3_NEAR(x, Vector3(1, 0, 0));
ASSERT_VECTOR3_NEAR(y, Vector3(0, 1, 0));
ASSERT_VECTOR3_NEAR(z, Vector3(0, 0, 1));
}
{
auto m = Matrix::MakeRotationZ(Radians{kPiOver2}) *
Matrix::MakeRotationX(Radians{kPiOver2}) *
Matrix::MakeScale(Vector3(2, 3, 4));
Vector3 x = m.GetBasisX();
Vector3 y = m.GetBasisY();
Vector3 z = m.GetBasisZ();
ASSERT_VECTOR3_NEAR(x, Vector3(0, 2, 0));
ASSERT_VECTOR3_NEAR(y, Vector3(0, 0, 3));
ASSERT_VECTOR3_NEAR(z, Vector3(4, 0, 0));
}
}
TEST(GeometryTest, MatrixGetDirectionScale) {
{
auto m = Matrix();
Scalar result = m.GetDirectionScale(Vector3{1, 0, 0});
ASSERT_FLOAT_EQ(result, 1);
}
{
auto m = Matrix::MakeRotationX(Degrees{10}) *
Matrix::MakeRotationY(Degrees{83}) *
Matrix::MakeRotationZ(Degrees{172});
Scalar result = m.GetDirectionScale(Vector3{0, 1, 0});
ASSERT_FLOAT_EQ(result, 1);
}
{
auto m = Matrix::MakeRotationZ(Radians{kPiOver2}) *
Matrix::MakeScale(Vector3(3, 4, 5));
Scalar result = m.GetDirectionScale(Vector3{2, 0, 0});
ASSERT_FLOAT_EQ(result, 8);
}
}
TEST(GeometryTest, MatrixTranslationScaleOnly) {
{
auto m = Matrix();
bool result = m.IsTranslationScaleOnly();
ASSERT_TRUE(result);
}
{
auto m = Matrix::MakeScale(Vector3(2, 3, 4));
bool result = m.IsTranslationScaleOnly();
ASSERT_TRUE(result);
}
{
auto m = Matrix::MakeTranslation(Vector3(2, 3, 4));
bool result = m.IsTranslationScaleOnly();
ASSERT_TRUE(result);
}
{
auto m = Matrix::MakeRotationZ(Degrees(10));
bool result = m.IsTranslationScaleOnly();
ASSERT_FALSE(result);
}
}
TEST(GeometryTest, MatrixLookAt) {
{
auto m = Matrix::MakeLookAt(Vector3(0, 0, -1), Vector3(0, 0, 1),
Vector3(0, 1, 0));
auto expected = Matrix{
1, 0, 0, 0, //
0, 1, 0, 0, //
0, 0, 1, 0, //
0, 0, 1, 1, //
};
ASSERT_MATRIX_NEAR(m, expected);
}
// Sideways tilt.
{
auto m = Matrix::MakeLookAt(Vector3(0, 0, -1), Vector3(0, 0, 1),
Vector3(1, 1, 0).Normalize());
// clang-format off
auto expected = Matrix{
k1OverSqrt2, k1OverSqrt2, 0, 0,
-k1OverSqrt2, k1OverSqrt2, 0, 0,
0, 0, 1, 0,
0, 0, 1, 1,
};
// clang-format on
ASSERT_MATRIX_NEAR(m, expected);
}
// Half way between +x and -y, yaw 90
{
auto m =
Matrix::MakeLookAt(Vector3(), Vector3(10, -10, 0), Vector3(0, 0, -1));
// clang-format off
auto expected = Matrix{
-k1OverSqrt2, 0, k1OverSqrt2, 0,
-k1OverSqrt2, 0, -k1OverSqrt2, 0,
0, -1, 0, 0,
0, 0, 0, 1,
};
// clang-format on
ASSERT_MATRIX_NEAR(m, expected);
}
}
TEST(GeometryTest, QuaternionLerp) {
auto q1 = Quaternion{{0.0, 0.0, 1.0}, 0.0};
auto q2 = Quaternion{{0.0, 0.0, 1.0}, kPiOver4};
auto q3 = q1.Slerp(q2, 0.5);
auto expected = Quaternion{{0.0, 0.0, 1.0}, kPiOver4 / 2.0};
ASSERT_QUATERNION_NEAR(q3, expected);
}
TEST(GeometryTest, QuaternionVectorMultiply) {
{
Quaternion q({0, 0, 1}, 0);
Vector3 v(0, 1, 0);
Vector3 result = q * v;
Vector3 expected(0, 1, 0);
ASSERT_VECTOR3_NEAR(result, expected);
}
{
Quaternion q({0, 0, 1}, k2Pi);
Vector3 v(1, 0, 0);
Vector3 result = q * v;
Vector3 expected(1, 0, 0);
ASSERT_VECTOR3_NEAR(result, expected);
}
{
Quaternion q({0, 0, 1}, kPiOver4);
Vector3 v(0, 1, 0);
Vector3 result = q * v;
Vector3 expected(-k1OverSqrt2, k1OverSqrt2, 0);
ASSERT_VECTOR3_NEAR(result, expected);
}
{
Quaternion q(Vector3(1, 0, 1).Normalize(), kPi);
Vector3 v(0, 0, -1);
Vector3 result = q * v;
Vector3 expected(-1, 0, 0);
ASSERT_VECTOR3_NEAR(result, expected);
}
}
TEST(GeometryTest, CanGenerateMipCounts) {
ASSERT_EQ((Size{128, 128}.MipCount()), 7u);
ASSERT_EQ((Size{128, 256}.MipCount()), 8u);
ASSERT_EQ((Size{128, 130}.MipCount()), 8u);
ASSERT_EQ((Size{128, 257}.MipCount()), 9u);
ASSERT_EQ((Size{257, 128}.MipCount()), 9u);
ASSERT_EQ((Size{128, 0}.MipCount()), 1u);
ASSERT_EQ((Size{128, -25}.MipCount()), 1u);
ASSERT_EQ((Size{-128, 25}.MipCount()), 1u);
ASSERT_EQ((Size{1, 1}.MipCount()), 1u);
ASSERT_EQ((Size{0, 0}.MipCount()), 1u);
}
TEST(GeometryTest, CanConvertTTypesExplicitly) {
{
Point p1(1.0, 2.0);
IPoint p2 = static_cast<IPoint>(p1);
ASSERT_EQ(p2.x, 1u);
ASSERT_EQ(p2.y, 2u);
}
{
Size s1(1.0, 2.0);
ISize s2 = static_cast<ISize>(s1);
ASSERT_EQ(s2.width, 1u);
ASSERT_EQ(s2.height, 2u);
}
{
Size s1(1.0, 2.0);
Point p1 = static_cast<Point>(s1);
ASSERT_EQ(p1.x, 1u);
ASSERT_EQ(p1.y, 2u);
}
}
TEST(GeometryTest, CanPerformAlgebraicPointOps) {
{
IPoint p1(1, 2);
IPoint p2 = p1 + IPoint(1, 2);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 4u);
}
{
IPoint p1(3, 6);
IPoint p2 = p1 - IPoint(1, 2);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 4u);
}
{
IPoint p1(1, 2);
IPoint p2 = p1 * IPoint(2, 3);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 6u);
}
{
IPoint p1(2, 6);
IPoint p2 = p1 / IPoint(2, 3);
ASSERT_EQ(p2.x, 1u);
ASSERT_EQ(p2.y, 2u);
}
}
TEST(GeometryTest, CanPerformAlgebraicPointOpsWithArithmeticTypes) {
// LHS
{
IPoint p1(1, 2);
IPoint p2 = p1 * 2.0f;
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 4u);
}
{
IPoint p1(2, 6);
IPoint p2 = p1 / 2.0f;
ASSERT_EQ(p2.x, 1u);
ASSERT_EQ(p2.y, 3u);
}
// RHS
{
IPoint p1(1, 2);
IPoint p2 = 2.0f * p1;
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 4u);
}
{
IPoint p1(2, 6);
IPoint p2 = 12.0f / p1;
ASSERT_EQ(p2.x, 6u);
ASSERT_EQ(p2.y, 2u);
}
}
TEST(GeometryTest, PointIntegerCoercesToFloat) {
// Integer on LHS, float on RHS
{
IPoint p1(1, 2);
Point p2 = p1 + Point(1, 2);
ASSERT_FLOAT_EQ(p2.x, 2u);
ASSERT_FLOAT_EQ(p2.y, 4u);
}
{
IPoint p1(3, 6);
Point p2 = p1 - Point(1, 2);
ASSERT_FLOAT_EQ(p2.x, 2u);
ASSERT_FLOAT_EQ(p2.y, 4u);
}
{
IPoint p1(1, 2);
Point p2 = p1 * Point(2, 3);
ASSERT_FLOAT_EQ(p2.x, 2u);
ASSERT_FLOAT_EQ(p2.y, 6u);
}
{
IPoint p1(2, 6);
Point p2 = p1 / Point(2, 3);
ASSERT_FLOAT_EQ(p2.x, 1u);
ASSERT_FLOAT_EQ(p2.y, 2u);
}
// Float on LHS, integer on RHS
{
Point p1(1, 2);
Point p2 = p1 + IPoint(1, 2);
ASSERT_FLOAT_EQ(p2.x, 2u);
ASSERT_FLOAT_EQ(p2.y, 4u);
}
{
Point p1(3, 6);
Point p2 = p1 - IPoint(1, 2);
ASSERT_FLOAT_EQ(p2.x, 2u);
ASSERT_FLOAT_EQ(p2.y, 4u);
}
{
Point p1(1, 2);
Point p2 = p1 * IPoint(2, 3);
ASSERT_FLOAT_EQ(p2.x, 2u);
ASSERT_FLOAT_EQ(p2.y, 6u);
}
{
Point p1(2, 6);
Point p2 = p1 / IPoint(2, 3);
ASSERT_FLOAT_EQ(p2.x, 1u);
ASSERT_FLOAT_EQ(p2.y, 2u);
}
}
TEST(GeometryTest, SizeCoercesToPoint) {
// Point on LHS, Size on RHS
{
IPoint p1(1, 2);
IPoint p2 = p1 + ISize(1, 2);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 4u);
}
{
IPoint p1(3, 6);
IPoint p2 = p1 - ISize(1, 2);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 4u);
}
{
IPoint p1(1, 2);
IPoint p2 = p1 * ISize(2, 3);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 6u);
}
{
IPoint p1(2, 6);
IPoint p2 = p1 / ISize(2, 3);
ASSERT_EQ(p2.x, 1u);
ASSERT_EQ(p2.y, 2u);
}
// Size on LHS, Point on RHS
{
ISize p1(1, 2);
IPoint p2 = p1 + IPoint(1, 2);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 4u);
}
{
ISize p1(3, 6);
IPoint p2 = p1 - IPoint(1, 2);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 4u);
}
{
ISize p1(1, 2);
IPoint p2 = p1 * IPoint(2, 3);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 6u);
}
{
ISize p1(2, 6);
IPoint p2 = p1 / IPoint(2, 3);
ASSERT_EQ(p2.x, 1u);
ASSERT_EQ(p2.y, 2u);
}
}
TEST(GeometryTest, CanUsePointAssignmentOperators) {
// Point on RHS
{
IPoint p(1, 2);
p += IPoint(1, 2);
ASSERT_EQ(p.x, 2u);
ASSERT_EQ(p.y, 4u);
}
{
IPoint p(3, 6);
p -= IPoint(1, 2);
ASSERT_EQ(p.x, 2u);
ASSERT_EQ(p.y, 4u);
}
{
IPoint p(1, 2);
p *= IPoint(2, 3);
ASSERT_EQ(p.x, 2u);
ASSERT_EQ(p.y, 6u);
}
{
IPoint p(2, 6);
p /= IPoint(2, 3);
ASSERT_EQ(p.x, 1u);
ASSERT_EQ(p.y, 2u);
}
// Size on RHS
{
IPoint p(1, 2);
p += ISize(1, 2);
ASSERT_EQ(p.x, 2u);
ASSERT_EQ(p.y, 4u);
}
{
IPoint p(3, 6);
p -= ISize(1, 2);
ASSERT_EQ(p.x, 2u);
ASSERT_EQ(p.y, 4u);
}
{
IPoint p(1, 2);
p *= ISize(2, 3);
ASSERT_EQ(p.x, 2u);
ASSERT_EQ(p.y, 6u);
}
{
IPoint p(2, 6);
p /= ISize(2, 3);
ASSERT_EQ(p.x, 1u);
ASSERT_EQ(p.y, 2u);
}
// Arithmetic type on RHS
{
IPoint p(1, 2);
p *= 3;
ASSERT_EQ(p.x, 3u);
ASSERT_EQ(p.y, 6u);
}
{
IPoint p(3, 6);
p /= 3;
ASSERT_EQ(p.x, 1u);
ASSERT_EQ(p.y, 2u);
}
}
TEST(GeometryTest, PointDotProduct) {
{
Point p(1, 0);
Scalar s = p.Dot(Point(-1, 0));
ASSERT_FLOAT_EQ(s, -1);
}
{
Point p(0, -1);
Scalar s = p.Dot(Point(-1, 0));
ASSERT_FLOAT_EQ(s, 0);
}
{
Point p(1, 2);
Scalar s = p.Dot(Point(3, -4));
ASSERT_FLOAT_EQ(s, -5);
}
}
TEST(GeometryTest, PointCrossProduct) {
{
Point p(1, 0);
Scalar s = p.Cross(Point(-1, 0));
ASSERT_FLOAT_EQ(s, 0);
}
{
Point p(0, -1);
Scalar s = p.Cross(Point(-1, 0));
ASSERT_FLOAT_EQ(s, -1);
}
{
Point p(1, 2);
Scalar s = p.Cross(Point(3, -4));
ASSERT_FLOAT_EQ(s, -10);
}
}
TEST(GeometryTest, PointReflect) {
{
Point axis = Point(0, 1);
Point a(2, 3);
auto reflected = a.Reflect(axis);
auto expected = Point(2, -3);
ASSERT_POINT_NEAR(reflected, expected);
}
{
Point axis = Point(1, 1).Normalize();
Point a(1, 0);
auto reflected = a.Reflect(axis);
auto expected = Point(0, -1);
ASSERT_POINT_NEAR(reflected, expected);
}
{
Point axis = Point(1, 1).Normalize();
Point a(-1, -1);
auto reflected = a.Reflect(axis);
ASSERT_POINT_NEAR(reflected, -a);
}
}
TEST(GeometryTest, PointAbs) {
Point a(-1, -2);
auto a_abs = a.Abs();
auto expected = Point(1, 2);
ASSERT_POINT_NEAR(a_abs, expected);
}
TEST(GeometryTest, PointAngleTo) {
// Negative result in the CCW (with up = -Y) direction.
{
Point a(1, 1);
Point b(1, -1);
Radians actual = a.AngleTo(b);
Radians expected = Radians{-kPi / 2};
ASSERT_FLOAT_EQ(actual.radians, expected.radians);
}
// Check the other direction to ensure the result is signed correctly.
{
Point a(1, -1);
Point b(1, 1);
Radians actual = a.AngleTo(b);
Radians expected = Radians{kPi / 2};
ASSERT_FLOAT_EQ(actual.radians, expected.radians);
}
// Differences in magnitude should have no impact on the result.
{
Point a(100, -100);
Point b(0.01, 0.01);
Radians actual = a.AngleTo(b);
Radians expected = Radians{kPi / 2};
ASSERT_FLOAT_EQ(actual.radians, expected.radians);
}
}
TEST(GeometryTest, PointMin) {
Point p(1, 2);
Point result = p.Min({0, 10});
Point expected(0, 2);
ASSERT_POINT_NEAR(result, expected);
}
TEST(GeometryTest, Vector3Min) {
Vector3 p(1, 2, 3);
Vector3 result = p.Min({0, 10, 2});
Vector3 expected(0, 2, 2);
ASSERT_VECTOR3_NEAR(result, expected);
}
TEST(GeometryTest, Vector4Min) {
Vector4 p(1, 2, 3, 4);
Vector4 result = p.Min({0, 10, 2, 1});
Vector4 expected(0, 2, 2, 1);
ASSERT_VECTOR4_NEAR(result, expected);
}
TEST(GeometryTest, PointMax) {
Point p(1, 2);
Point result = p.Max({0, 10});
Point expected(1, 10);
ASSERT_POINT_NEAR(result, expected);
}
TEST(GeometryTest, Vector3Max) {
Vector3 p(1, 2, 3);
Vector3 result = p.Max({0, 10, 2});
Vector3 expected(1, 10, 3);
ASSERT_VECTOR3_NEAR(result, expected);
}
TEST(GeometryTest, Vector4Max) {
Vector4 p(1, 2, 3, 4);
Vector4 result = p.Max({0, 10, 2, 1});
Vector4 expected(1, 10, 3, 4);
ASSERT_VECTOR4_NEAR(result, expected);
}
TEST(GeometryTest, PointFloor) {
Point p(1.5, 2.3);
Point result = p.Floor();
Point expected(1, 2);
ASSERT_POINT_NEAR(result, expected);
}
TEST(GeometryTest, Vector3Floor) {
Vector3 p(1.5, 2.3, 3.9);
Vector3 result = p.Floor();
Vector3 expected(1, 2, 3);
ASSERT_VECTOR3_NEAR(result, expected);
}
TEST(GeometryTest, Vector4Floor) {
Vector4 p(1.5, 2.3, 3.9, 4.0);
Vector4 result = p.Floor();
Vector4 expected(1, 2, 3, 4);
ASSERT_VECTOR4_NEAR(result, expected);
}
TEST(GeometryTest, PointCeil) {
Point p(1.5, 2.3);
Point result = p.Ceil();
Point expected(2, 3);
ASSERT_POINT_NEAR(result, expected);
}
TEST(GeometryTest, Vector3Ceil) {
Vector3 p(1.5, 2.3, 3.9);
Vector3 result = p.Ceil();
Vector3 expected(2, 3, 4);
ASSERT_VECTOR3_NEAR(result, expected);
}
TEST(GeometryTest, Vector4Ceil) {
Vector4 p(1.5, 2.3, 3.9, 4.0);
Vector4 result = p.Ceil();
Vector4 expected(2, 3, 4, 4);
ASSERT_VECTOR4_NEAR(result, expected);
}
TEST(GeometryTest, PointRound) {
Point p(1.5, 2.3);
Point result = p.Round();
Point expected(2, 2);
ASSERT_POINT_NEAR(result, expected);
}
TEST(GeometryTest, Vector3Round) {
Vector3 p(1.5, 2.3, 3.9);
Vector3 result = p.Round();
Vector3 expected(2, 2, 4);
ASSERT_VECTOR3_NEAR(result, expected);
}
TEST(GeometryTest, Vector4Round) {
Vector4 p(1.5, 2.3, 3.9, 4.0);
Vector4 result = p.Round();
Vector4 expected(2, 2, 4, 4);
ASSERT_VECTOR4_NEAR(result, expected);
}
TEST(GeometryTest, PointLerp) {
Point p(1, 2);
Point result = p.Lerp({5, 10}, 0.75);
Point expected(4, 8);
ASSERT_POINT_NEAR(result, expected);
}
TEST(GeometryTest, Vector3Lerp) {
Vector3 p(1, 2, 3);
Vector3 result = p.Lerp({5, 10, 15}, 0.75);
Vector3 expected(4, 8, 12);
ASSERT_VECTOR3_NEAR(result, expected);
}
TEST(GeometryTest, Vector4Lerp) {
Vector4 p(1, 2, 3, 4);
Vector4 result = p.Lerp({5, 10, 15, 20}, 0.75);
Vector4 expected(4, 8, 12, 16);
ASSERT_VECTOR4_NEAR(result, expected);
}
TEST(GeometryTest, CanUseVector3AssignmentOperators) {
{
Vector3 p(1, 2, 4);
p += Vector3(1, 2, 4);
ASSERT_EQ(p.x, 2u);
ASSERT_EQ(p.y, 4u);
ASSERT_EQ(p.z, 8u);
}
{
Vector3 p(3, 6, 8);
p -= Vector3(1, 2, 3);
ASSERT_EQ(p.x, 2u);
ASSERT_EQ(p.y, 4u);
ASSERT_EQ(p.z, 5u);
}
{
Vector3 p(1, 2, 3);
p *= Vector3(2, 3, 4);
ASSERT_EQ(p.x, 2u);
ASSERT_EQ(p.y, 6u);
ASSERT_EQ(p.z, 12u);
}
{
Vector3 p(1, 2, 3);
p *= 2;
ASSERT_EQ(p.x, 2u);
ASSERT_EQ(p.y, 4u);
ASSERT_EQ(p.z, 6u);
}
{
Vector3 p(2, 6, 12);
p /= Vector3(2, 3, 4);
ASSERT_EQ(p.x, 1u);
ASSERT_EQ(p.y, 2u);
ASSERT_EQ(p.z, 3u);
}
{
Vector3 p(2, 6, 12);
p /= 2;
ASSERT_EQ(p.x, 1u);
ASSERT_EQ(p.y, 3u);
ASSERT_EQ(p.z, 6u);
}
}
TEST(GeometryTest, CanPerformAlgebraicVector3Ops) {
{
Vector3 p1(1, 2, 3);
Vector3 p2 = p1 + Vector3(1, 2, 3);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 4u);
ASSERT_EQ(p2.z, 6u);
}
{
Vector3 p1(3, 6, 9);
Vector3 p2 = p1 - Vector3(1, 2, 3);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 4u);
ASSERT_EQ(p2.z, 6u);
}
{
Vector3 p1(1, 2, 3);
Vector3 p2 = p1 * Vector3(2, 3, 4);
ASSERT_EQ(p2.x, 2u);
ASSERT_EQ(p2.y, 6u);
ASSERT_EQ(p2.z, 12u);
}
{
Vector3 p1(2, 6, 12);
Vector3 p2 = p1 / Vector3(2, 3, 4);
ASSERT_EQ(p2.x, 1u);
ASSERT_EQ(p2.y, 2u);
ASSERT_EQ(p2.z, 3u);
}
}
TEST(GeometryTest, CanPerformAlgebraicVector3OpsWithArithmeticTypes) {
// LHS
{
Vector3 p1(1, 2, 3);
Vector3 p2 = p1 + 2.0f;
ASSERT_EQ(p2.x, 3);
ASSERT_EQ(p2.y, 4);
ASSERT_EQ(p2.z, 5);
}
{
Vector3 p1(1, 2, 3);
Vector3 p2 = p1 - 2.0f;
ASSERT_EQ(p2.x, -1);
ASSERT_EQ(p2.y, 0);
ASSERT_EQ(p2.z, 1);
}
{
Vector3 p1(1, 2, 3);
Vector3 p2 = p1 * 2.0f;
ASSERT_EQ(p2.x, 2);
ASSERT_EQ(p2.y, 4);
ASSERT_EQ(p2.z, 6);
}
{
Vector3 p1(2, 6, 12);
Vector3 p2 = p1 / 2.0f;
ASSERT_EQ(p2.x, 1);
ASSERT_EQ(p2.y, 3);
ASSERT_EQ(p2.z, 6);
}
// RHS
{
Vector3 p1(1, 2, 3);
Vector3 p2 = 2.0f + p1;
ASSERT_EQ(p2.x, 3);
ASSERT_EQ(p2.y, 4);
ASSERT_EQ(p2.z, 5);
}
{
Vector3 p1(1, 2, 3);
Vector3 p2 = 2.0f - p1;
ASSERT_EQ(p2.x, 1);
ASSERT_EQ(p2.y, 0);
ASSERT_EQ(p2.z, -1);
}
{
Vector3 p1(1, 2, 3);
Vector3 p2 = 2.0f * p1;
ASSERT_EQ(p2.x, 2);
ASSERT_EQ(p2.y, 4);
ASSERT_EQ(p2.z, 6);
}
{
Vector3 p1(2, 6, 12);
Vector3 p2 = 12.0f / p1;
ASSERT_EQ(p2.x, 6);
ASSERT_EQ(p2.y, 2);
ASSERT_EQ(p2.z, 1);
}
}
TEST(GeometryTest, ColorPremultiply) {
{
Color a(1.0, 0.5, 0.2, 0.5);
Color premultiplied = a.Premultiply();
Color expected = Color(0.5, 0.25, 0.1, 0.5);
ASSERT_COLOR_NEAR(premultiplied, expected);
}
{
Color a(0.5, 0.25, 0.1, 0.5);
Color unpremultiplied = a.Unpremultiply();
Color expected = Color(1.0, 0.5, 0.2, 0.5);
ASSERT_COLOR_NEAR(unpremultiplied, expected);
}
{
Color a(0.5, 0.25, 0.1, 0.0);
Color unpremultiplied = a.Unpremultiply();
Color expected = Color(0.0, 0.0, 0.0, 0.0);
ASSERT_COLOR_NEAR(unpremultiplied, expected);
}
}
TEST(GeometryTest, ColorR8G8B8A8) {
{
Color a(1.0, 0.5, 0.2, 0.5);
std::array<uint8_t, 4> expected = {255, 128, 51, 128};
ASSERT_ARRAY_4_NEAR(a.ToR8G8B8A8(), expected);
}
{
Color a(0.0, 0.0, 0.0, 0.0);
std::array<uint8_t, 4> expected = {0, 0, 0, 0};
ASSERT_ARRAY_4_NEAR(a.ToR8G8B8A8(), expected);
}
{
Color a(1.0, 1.0, 1.0, 1.0);
std::array<uint8_t, 4> expected = {255, 255, 255, 255};
ASSERT_ARRAY_4_NEAR(a.ToR8G8B8A8(), expected);
}
}
TEST(GeometryTest, ColorLerp) {
{
Color a(0.0, 0.0, 0.0, 0.0);
Color b(1.0, 1.0, 1.0, 1.0);
ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.5), Color(0.5, 0.5, 0.5, 0.5));
ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.0), a);
ASSERT_COLOR_NEAR(Color::Lerp(a, b, 1.0), b);
ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.2), Color(0.2, 0.2, 0.2, 0.2));
}
{
Color a(0.2, 0.4, 1.0, 0.5);
Color b(0.4, 1.0, 0.2, 0.3);
ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.5), Color(0.3, 0.7, 0.6, 0.4));
ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.0), a);
ASSERT_COLOR_NEAR(Color::Lerp(a, b, 1.0), b);
ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.2), Color(0.24, 0.52, 0.84, 0.46));
}
}
TEST(GeometryTest, ColorClamp01) {
{
Color result = Color(0.5, 0.5, 0.5, 0.5).Clamp01();
Color expected = Color(0.5, 0.5, 0.5, 0.5);
ASSERT_COLOR_NEAR(result, expected);
}
{
Color result = Color(-1, -1, -1, -1).Clamp01();
Color expected = Color(0, 0, 0, 0);
ASSERT_COLOR_NEAR(result, expected);
}
{
Color result = Color(2, 2, 2, 2).Clamp01();
Color expected = Color(1, 1, 1, 1);
ASSERT_COLOR_NEAR(result, expected);
}
}
TEST(GeometryTest, ColorMakeRGBA8) {
{
Color a = Color::MakeRGBA8(0, 0, 0, 0);
Color b = Color::BlackTransparent();
ASSERT_COLOR_NEAR(a, b);
}
{
Color a = Color::MakeRGBA8(255, 255, 255, 255);
Color b = Color::White();
ASSERT_COLOR_NEAR(a, b);
}
{
Color a = Color::MakeRGBA8(63, 127, 191, 127);
Color b(0.247059, 0.498039, 0.74902, 0.498039);
ASSERT_COLOR_NEAR(a, b);
}
}
TEST(GeometryTest, ColorApplyColorMatrix) {
{
ColorMatrix color_matrix = {
1, 1, 1, 1, 1, //
1, 1, 1, 1, 1, //
1, 1, 1, 1, 1, //
1, 1, 1, 1, 1, //
};
auto result = Color::White().ApplyColorMatrix(color_matrix);
auto expected = Color(1, 1, 1, 1);
ASSERT_COLOR_NEAR(result, expected);
}
{
ColorMatrix color_matrix = {
0.1, 0, 0, 0, 0.01, //
0, 0.2, 0, 0, 0.02, //
0, 0, 0.3, 0, 0.03, //
0, 0, 0, 0.4, 0.04, //
};
auto result = Color::White().ApplyColorMatrix(color_matrix);
auto expected = Color(0.11, 0.22, 0.33, 0.44);
ASSERT_COLOR_NEAR(result, expected);
}
}
TEST(GeometryTest, ColorLinearToSRGB) {
{
auto result = Color::White().LinearToSRGB();
auto expected = Color(1, 1, 1, 1);
ASSERT_COLOR_NEAR(result, expected);
}
{
auto result = Color::BlackTransparent().LinearToSRGB();
auto expected = Color(0, 0, 0, 0);
ASSERT_COLOR_NEAR(result, expected);
}
{
auto result = Color(0.2, 0.4, 0.6, 0.8).LinearToSRGB();
auto expected = Color(0.484529, 0.665185, 0.797738, 0.8);
ASSERT_COLOR_NEAR(result, expected);
}
}
TEST(GeometryTest, ColorSRGBToLinear) {
{
auto result = Color::White().SRGBToLinear();
auto expected = Color(1, 1, 1, 1);
ASSERT_COLOR_NEAR(result, expected);
}
{
auto result = Color::BlackTransparent().SRGBToLinear();
auto expected = Color(0, 0, 0, 0);
ASSERT_COLOR_NEAR(result, expected);
}
{
auto result = Color(0.2, 0.4, 0.6, 0.8).SRGBToLinear();
auto expected = Color(0.0331048, 0.132868, 0.318547, 0.8);
ASSERT_COLOR_NEAR(result, expected);
}
}
struct ColorBlendTestData {
static constexpr Color kDestinationColor =
Color::CornflowerBlue().WithAlpha(0.75);
static constexpr Color kSourceColors[] = {Color::White().WithAlpha(0.75),
Color::LimeGreen().WithAlpha(0.75),
Color::Black().WithAlpha(0.75)};
static const std::map<BlendMode, Color>
kExpectedResults[sizeof(kSourceColors)];
};
// THIS RESULT TABLE IS GENERATED!
//
// Uncomment the `GenerateColorBlendResults` test below to print a new table
// after making changes to `Color::Blend`.
const std::map<BlendMode, Color> ColorBlendTestData::kExpectedResults[sizeof(
ColorBlendTestData::kSourceColors)] = {
{
{BlendMode::kClear, {0, 0, 0, 0}},
{BlendMode::kSource, {1, 1, 1, 0.75}},
{BlendMode::kDestination, {0.392157, 0.584314, 0.929412, 0.75}},
{BlendMode::kSourceOver, {0.878431, 0.916863, 0.985882, 0.9375}},
{BlendMode::kDestinationOver, {0.513726, 0.667451, 0.943529, 0.9375}},
{BlendMode::kSourceIn, {1, 1, 1, 0.5625}},
{BlendMode::kDestinationIn, {0.392157, 0.584314, 0.929412, 0.5625}},
{BlendMode::kSourceOut, {1, 1, 1, 0.1875}},
{BlendMode::kDestinationOut, {0.392157, 0.584314, 0.929412, 0.1875}},
{BlendMode::kSourceATop, {0.848039, 0.896078, 0.982353, 0.75}},
{BlendMode::kDestinationATop, {0.544118, 0.688235, 0.947059, 0.75}},
{BlendMode::kXor, {0.696078, 0.792157, 0.964706, 0.375}},
{BlendMode::kPlus, {1, 1, 1, 1}},
{BlendMode::kModulate, {0.392157, 0.584314, 0.929412, 0.5625}},
{BlendMode::kScreen, {0.878431, 0.916863, 0.985882, 0.9375}},
{BlendMode::kOverlay, {0.74902, 0.916863, 0.985882, 0.9375}},
{BlendMode::kDarken, {0.513726, 0.667451, 0.943529, 0.9375}},
{BlendMode::kLighten, {0.878431, 0.916863, 0.985882, 0.9375}},
{BlendMode::kColorDodge, {0.878431, 0.916863, 0.985882, 0.9375}},
{BlendMode::kColorBurn, {0.513725, 0.667451, 0.943529, 0.9375}},
{BlendMode::kHardLight, {0.878431, 0.916863, 0.985882, 0.9375}},
{BlendMode::kSoftLight, {0.654166, 0.775505, 0.964318, 0.9375}},
{BlendMode::kDifference, {0.643137, 0.566275, 0.428235, 0.9375}},
{BlendMode::kExclusion, {0.643137, 0.566275, 0.428235, 0.9375}},
{BlendMode::kMultiply, {0.513726, 0.667451, 0.943529, 0.9375}},
{BlendMode::kHue, {0.617208, 0.655639, 0.724659, 0.9375}},
{BlendMode::kSaturation, {0.617208, 0.655639, 0.724659, 0.9375}},
{BlendMode::kColor, {0.617208, 0.655639, 0.724659, 0.9375}},
{BlendMode::kLuminosity, {0.878431, 0.916863, 0.985882, 0.9375}},
},
{
{BlendMode::kClear, {0, 0, 0, 0}},
{BlendMode::kSource, {0.196078, 0.803922, 0.196078, 0.75}},
{BlendMode::kDestination, {0.392157, 0.584314, 0.929412, 0.75}},
{BlendMode::kSourceOver, {0.235294, 0.76, 0.342745, 0.9375}},
{BlendMode::kDestinationOver, {0.352941, 0.628235, 0.782745, 0.9375}},
{BlendMode::kSourceIn, {0.196078, 0.803922, 0.196078, 0.5625}},
{BlendMode::kDestinationIn, {0.392157, 0.584314, 0.929412, 0.5625}},
{BlendMode::kSourceOut, {0.196078, 0.803922, 0.196078, 0.1875}},
{BlendMode::kDestinationOut, {0.392157, 0.584314, 0.929412, 0.1875}},
{BlendMode::kSourceATop, {0.245098, 0.74902, 0.379412, 0.75}},
{BlendMode::kDestinationATop, {0.343137, 0.639216, 0.746078, 0.75}},
{BlendMode::kXor, {0.294118, 0.694118, 0.562745, 0.375}},
{BlendMode::kPlus, {0.441176, 1, 0.844118, 1}},
{BlendMode::kModulate, {0.0768935, 0.469742, 0.182238, 0.5625}},
{BlendMode::kScreen, {0.424452, 0.828743, 0.79105, 0.9375}},
{BlendMode::kOverlay, {0.209919, 0.779839, 0.757001, 0.9375}},
{BlendMode::kDarken, {0.235294, 0.628235, 0.342745, 0.9375}},
{BlendMode::kLighten, {0.352941, 0.76, 0.782745, 0.9375}},
{BlendMode::kColorDodge, {0.41033, 0.877647, 0.825098, 0.9375}},
{BlendMode::kColorBurn, {0.117647, 0.567403, 0.609098, 0.9375}},
{BlendMode::kHardLight, {0.209919, 0.779839, 0.443783, 0.9375}},
{BlendMode::kSoftLight, {0.266006, 0.693915, 0.758818, 0.9375}},
{BlendMode::kDifference, {0.235294, 0.409412, 0.665098, 0.9375}},
{BlendMode::kExclusion, {0.378316, 0.546897, 0.681707, 0.9375}},
{BlendMode::kMultiply, {0.163783, 0.559493, 0.334441, 0.9375}},
{BlendMode::kHue, {0.266235, 0.748588, 0.373686, 0.9375}},
{BlendMode::kSaturation, {0.339345, 0.629787, 0.811502, 0.9375}},
{BlendMode::kColor, {0.241247, 0.765953, 0.348698, 0.9375}},
{BlendMode::kLuminosity, {0.346988, 0.622282, 0.776792, 0.9375}},
},
{
{BlendMode::kClear, {0, 0, 0, 0}},
{BlendMode::kSource, {0, 0, 0, 0.75}},
{BlendMode::kDestination, {0.392157, 0.584314, 0.929412, 0.75}},
{BlendMode::kSourceOver, {0.0784314, 0.116863, 0.185882, 0.9375}},
{BlendMode::kDestinationOver, {0.313726, 0.467451, 0.743529, 0.9375}},
{BlendMode::kSourceIn, {0, 0, 0, 0.5625}},
{BlendMode::kDestinationIn, {0.392157, 0.584314, 0.929412, 0.5625}},
{BlendMode::kSourceOut, {0, 0, 0, 0.1875}},
{BlendMode::kDestinationOut, {0.392157, 0.584314, 0.929412, 0.1875}},
{BlendMode::kSourceATop, {0.0980392, 0.146078, 0.232353, 0.75}},
{BlendMode::kDestinationATop, {0.294118, 0.438235, 0.697059, 0.75}},
{BlendMode::kXor, {0.196078, 0.292157, 0.464706, 0.375}},
{BlendMode::kPlus, {0.294118, 0.438235, 0.697059, 1}},
{BlendMode::kModulate, {0, 0, 0, 0.5625}},
{BlendMode::kScreen, {0.313726, 0.467451, 0.743529, 0.9375}},
{BlendMode::kOverlay, {0.0784314, 0.218039, 0.701176, 0.9375}},
{BlendMode::kDarken, {0.0784314, 0.116863, 0.185882, 0.9375}},
{BlendMode::kLighten, {0.313726, 0.467451, 0.743529, 0.9375}},
{BlendMode::kColorDodge, {0.313726, 0.467451, 0.743529, 0.9375}},
{BlendMode::kColorBurn, {0.0784314, 0.116863, 0.185882, 0.9375}},
{BlendMode::kHardLight, {0.0784314, 0.116863, 0.185882, 0.9375}},
{BlendMode::kSoftLight, {0.170704, 0.321716, 0.704166, 0.9375}},
{BlendMode::kDifference, {0.313726, 0.467451, 0.743529, 0.9375}},
{BlendMode::kExclusion, {0.313726, 0.467451, 0.743529, 0.9375}},
{BlendMode::kMultiply, {0.0784314, 0.116863, 0.185882, 0.9375}},
{BlendMode::kHue, {0.417208, 0.455639, 0.524659, 0.9375}},
{BlendMode::kSaturation, {0.417208, 0.455639, 0.524659, 0.9375}},
{BlendMode::kColor, {0.417208, 0.455639, 0.524659, 0.9375}},
{BlendMode::kLuminosity, {0.0784314, 0.116863, 0.185882, 0.9375}},
},
};
/// To print a new ColorBlendTestData::kExpectedResults table, uncomment this
/// test and run with:
/// --gtest_filter="GeometryTest.GenerateColorBlendResults"
/*
TEST(GeometryTest, GenerateColorBlendResults) {
auto& o = std::cout;
using BlendT = std::underlying_type_t<BlendMode>;
o << "{";
for (const auto& source : ColorBlendTestData::kSourceColors) {
o << "{";
for (BlendT blend_i = 0;
blend_i < static_cast<BlendT>(BlendMode::kLast) + 1; blend_i++) {
auto blend = static_cast<BlendMode>(blend_i);
Color c = ColorBlendTestData::kDestinationColor.Blend(source, blend);
o << "{ BlendMode::k" << BlendModeToString(blend) << ", ";
o << "{" << c.red << "," << c.green << "," << c.blue << "," << c.alpha
<< "}";
o << "}," << std::endl;
}
o << "},";
}
o << "};" << std::endl;
}
*/
#define _BLEND_MODE_RESULT_CHECK(blend_mode) \
expected = ColorBlendTestData::kExpectedResults[source_i] \
.find(BlendMode::k##blend_mode) \
->second; \
EXPECT_COLOR_NEAR(dst.Blend(src, BlendMode::k##blend_mode), expected);
TEST(GeometryTest, ColorBlendReturnsExpectedResults) {
Color dst = ColorBlendTestData::kDestinationColor;
for (size_t source_i = 0;
source_i < sizeof(ColorBlendTestData::kSourceColors) / sizeof(Color);
source_i++) {
Color src = ColorBlendTestData::kSourceColors[source_i];
Color expected;
IMPELLER_FOR_EACH_BLEND_MODE(_BLEND_MODE_RESULT_CHECK)
}
}
#define _BLEND_MODE_NAME_CHECK(blend_mode) \
case BlendMode::k##blend_mode: \
ASSERT_STREQ(result, #blend_mode); \
break;
TEST(GeometryTest, BlendModeToString) {
using BlendT = std::underlying_type_t<BlendMode>;
for (BlendT i = 0; i <= static_cast<BlendT>(BlendMode::kLast); i++) {
auto mode = static_cast<BlendMode>(i);
auto result = BlendModeToString(mode);
switch (mode) { IMPELLER_FOR_EACH_BLEND_MODE(_BLEND_MODE_NAME_CHECK) }
}
}
TEST(GeometryTest, CanConvertBetweenDegressAndRadians) {
{
auto deg = Degrees{90.0};
Radians rad = deg;
ASSERT_FLOAT_EQ(rad.radians, kPiOver2);
}
}
TEST(GeometryTest, MatrixPrinting) {
{
std::stringstream stream;
Matrix m;
stream << m;
ASSERT_EQ(stream.str(), R"((
1.000000, 0.000000, 0.000000, 0.000000,
0.000000, 1.000000, 0.000000, 0.000000,
0.000000, 0.000000, 1.000000, 0.000000,
0.000000, 0.000000, 0.000000, 1.000000,
))");
}
{
std::stringstream stream;
Matrix m = Matrix::MakeTranslation(Vector3(10, 20, 30));
stream << m;
ASSERT_EQ(stream.str(), R"((
1.000000, 0.000000, 0.000000, 10.000000,
0.000000, 1.000000, 0.000000, 20.000000,
0.000000, 0.000000, 1.000000, 30.000000,
0.000000, 0.000000, 0.000000, 1.000000,
))");
}
}
TEST(GeometryTest, PointPrinting) {
{
std::stringstream stream;
Point m;
stream << m;
ASSERT_EQ(stream.str(), "(0, 0)");
}
{
std::stringstream stream;
Point m(13, 37);
stream << m;
ASSERT_EQ(stream.str(), "(13, 37)");
}
}
TEST(GeometryTest, Vector3Printing) {
{
std::stringstream stream;
Vector3 m;
stream << m;
ASSERT_EQ(stream.str(), "(0, 0, 0)");
}
{
std::stringstream stream;
Vector3 m(1, 2, 3);
stream << m;
ASSERT_EQ(stream.str(), "(1, 2, 3)");
}
}
TEST(GeometryTest, Vector4Printing) {
{
std::stringstream stream;
Vector4 m;
stream << m;
ASSERT_EQ(stream.str(), "(0, 0, 0, 1)");
}
{
std::stringstream stream;
Vector4 m(1, 2, 3, 4);
stream << m;
ASSERT_EQ(stream.str(), "(1, 2, 3, 4)");
}
}
TEST(GeometryTest, ColorPrinting) {
{
std::stringstream stream;
Color m;
stream << m;
ASSERT_EQ(stream.str(), "(0, 0, 0, 0)");
}
{
std::stringstream stream;
Color m(1, 2, 3, 4);
stream << m;
ASSERT_EQ(stream.str(), "(1, 2, 3, 4)");
}
}
TEST(GeometryTest, ToIColor) {
ASSERT_EQ(Color::ToIColor(Color(0, 0, 0, 0)), 0u);
ASSERT_EQ(Color::ToIColor(Color(1.0, 1.0, 1.0, 1.0)), 0xFFFFFFFF);
ASSERT_EQ(Color::ToIColor(Color(0.5, 0.5, 1.0, 1.0)), 0xFF8080FF);
}
TEST(GeometryTest, Gradient) {
{
// Simple 2 color gradient produces color buffer containing exactly those
// values.
std::vector<Color> colors = {Color::Red(), Color::Blue()};
std::vector<Scalar> stops = {0.0, 1.0};
auto gradient = CreateGradientBuffer(colors, stops);
ASSERT_COLOR_BUFFER_NEAR(gradient.color_bytes, colors);
ASSERT_EQ(gradient.texture_size, 2u);
}
{
// Gradient with duplicate stops does not create an empty texture.
std::vector<Color> colors = {Color::Red(), Color::Yellow(), Color::Black(),
Color::Blue()};
std::vector<Scalar> stops = {0.0, 0.25, 0.25, 1.0};
auto gradient = CreateGradientBuffer(colors, stops);
ASSERT_EQ(gradient.texture_size, 5u);
}
{
// Simple N color gradient produces color buffer containing exactly those
// values.
std::vector<Color> colors = {Color::Red(), Color::Blue(), Color::Green(),
Color::White()};
std::vector<Scalar> stops = {0.0, 0.33, 0.66, 1.0};
auto gradient = CreateGradientBuffer(colors, stops);
ASSERT_COLOR_BUFFER_NEAR(gradient.color_bytes, colors);
ASSERT_EQ(gradient.texture_size, 4u);
}
{
// Gradient with color stops will lerp and scale buffer.
std::vector<Color> colors = {Color::Red(), Color::Blue(), Color::Green()};
std::vector<Scalar> stops = {0.0, 0.25, 1.0};
auto gradient = CreateGradientBuffer(colors, stops);
std::vector<Color> lerped_colors = {
Color::Red(),
Color::Blue(),
Color::Lerp(Color::Blue(), Color::Green(), 0.3333),
Color::Lerp(Color::Blue(), Color::Green(), 0.6666),
Color::Green(),
};
ASSERT_COLOR_BUFFER_NEAR(gradient.color_bytes, lerped_colors);
ASSERT_EQ(gradient.texture_size, 5u);
}
{
// Gradient size is capped at 1024.
std::vector<Color> colors = {};
std::vector<Scalar> stops = {};
for (auto i = 0u; i < 1025; i++) {
colors.push_back(Color::Blue());
stops.push_back(i / 1025.0);
}
auto gradient = CreateGradientBuffer(colors, stops);
ASSERT_EQ(gradient.texture_size, 1024u);
ASSERT_EQ(gradient.color_bytes.size(), 1024u * 4);
}
}
TEST(GeometryTest, HalfConversions) {
#if defined(FML_OS_MACOSX) || defined(FML_OS_IOS) || \
defined(FML_OS_IOS_SIMULATOR)
ASSERT_EQ(ScalarToHalf(0.0), 0.0f16);
ASSERT_EQ(ScalarToHalf(0.05), 0.05f16);
ASSERT_EQ(ScalarToHalf(2.43), 2.43f16);
ASSERT_EQ(ScalarToHalf(-1.45), -1.45f16);
// 65504 is the largest possible half.
ASSERT_EQ(ScalarToHalf(65504.0f), 65504.0f16);
ASSERT_EQ(ScalarToHalf(65504.0f + 1), 65504.0f16);
// Colors
ASSERT_EQ(HalfVector4(Color::Red()),
HalfVector4(1.0f16, 0.0f16, 0.0f16, 1.0f16));
ASSERT_EQ(HalfVector4(Color::Green()),
HalfVector4(0.0f16, 1.0f16, 0.0f16, 1.0f16));
ASSERT_EQ(HalfVector4(Color::Blue()),
HalfVector4(0.0f16, 0.0f16, 1.0f16, 1.0f16));
ASSERT_EQ(HalfVector4(Color::Black().WithAlpha(0)),
HalfVector4(0.0f16, 0.0f16, 0.0f16, 0.0f16));
ASSERT_EQ(HalfVector3(Vector3(4.0, 6.0, -1.0)),
HalfVector3(4.0f16, 6.0f16, -1.0f16));
ASSERT_EQ(HalfVector2(Vector2(4.0, 6.0)), HalfVector2(4.0f16, 6.0f16));
ASSERT_EQ(Half(0.5f), Half(0.5f16));
ASSERT_EQ(Half(0.5), Half(0.5f16));
ASSERT_EQ(Half(5), Half(5.0f16));
#else
GTEST_SKIP() << "Half-precision floats (IEEE 754) are not portable and "
"only used on Apple platforms.";
#endif // FML_OS_MACOSX || FML_OS_IOS || FML_OS_IOS_SIMULATOR
}
} // namespace testing
} // namespace impeller
// NOLINTEND(bugprone-unchecked-optional-access)