| // 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 "impeller/geometry/geometry_unittests.h" |
| |
| #include <limits> |
| #include <sstream> |
| |
| #include "flutter/testing/testing.h" |
| #include "impeller/geometry/constants.h" |
| #include "impeller/geometry/gradient.h" |
| #include "impeller/geometry/path.h" |
| #include "impeller/geometry/path_builder.h" |
| #include "impeller/geometry/path_component.h" |
| #include "impeller/geometry/point.h" |
| #include "impeller/geometry/rect.h" |
| #include "impeller/geometry/scalar.h" |
| #include "impeller/geometry/size.h" |
| #include "path_component.h" |
| |
| 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}); |
| auto expect = Matrix{0.707, 0.707, 0, 0, // |
| -0.707, 0.707, 0, 0, // |
| 0, 0, 1, 0, // |
| 0, 0, 0, 1}; |
| ASSERT_MATRIX_NEAR(rotation, expect); |
| } |
| |
| TEST(GeometryTest, InvertMultMatrix) { |
| { |
| auto rotation = Matrix::MakeRotationZ(Radians{kPiOver4}); |
| auto invert = rotation.Invert(); |
| auto expect = Matrix{0.707, -0.707, 0, 0, // |
| 0.707, 0.707, 0, 0, // |
| 0, 0, 1, 0, // |
| 0, 0, 0, 1}; |
| 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, 0.673401); |
| 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, 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, MatrixMakeOrthographic) { |
| { |
| auto m = Matrix::MakeOrthographic(Size(100, 200)); |
| auto expect = Matrix{ |
| 0.02, 0, 0, 0, // |
| 0, -0.01, 0, 0, // |
| 0, 0, 1, 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, 1, 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, MatrixIsAligned) { |
| { |
| auto m = Matrix::MakeTranslation({1, 2, 3}); |
| bool result = m.IsAligned(); |
| ASSERT_TRUE(result); |
| } |
| |
| { |
| auto m = Matrix::MakeRotationZ(Degrees{123}); |
| bool result = m.IsAligned(); |
| 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, EmptyPath) { |
| auto path = PathBuilder{}.TakePath(); |
| ASSERT_EQ(path.GetComponentCount(), 1u); |
| |
| ContourComponent c; |
| path.GetContourComponentAtIndex(0, c); |
| ASSERT_POINT_NEAR(c.destination, Point()); |
| |
| Path::Polyline polyline = path.CreatePolyline(); |
| ASSERT_TRUE(polyline.points.empty()); |
| ASSERT_TRUE(polyline.contours.empty()); |
| } |
| |
| TEST(GeometryTest, SimplePath) { |
| Path path; |
| |
| path.AddLinearComponent({0, 0}, {100, 100}) |
| .AddQuadraticComponent({100, 100}, {200, 200}, {300, 300}) |
| .AddCubicComponent({300, 300}, {400, 400}, {500, 500}, {600, 600}); |
| |
| ASSERT_EQ(path.GetComponentCount(), 4u); |
| |
| path.EnumerateComponents( |
| [](size_t index, const LinearPathComponent& linear) { |
| Point p1(0, 0); |
| Point p2(100, 100); |
| ASSERT_EQ(index, 1u); |
| ASSERT_EQ(linear.p1, p1); |
| ASSERT_EQ(linear.p2, p2); |
| }, |
| [](size_t index, const QuadraticPathComponent& quad) { |
| Point p1(100, 100); |
| Point cp(200, 200); |
| Point p2(300, 300); |
| ASSERT_EQ(index, 2u); |
| ASSERT_EQ(quad.p1, p1); |
| ASSERT_EQ(quad.cp, cp); |
| ASSERT_EQ(quad.p2, p2); |
| }, |
| [](size_t index, const CubicPathComponent& cubic) { |
| Point p1(300, 300); |
| Point cp1(400, 400); |
| Point cp2(500, 500); |
| Point p2(600, 600); |
| ASSERT_EQ(index, 3u); |
| ASSERT_EQ(cubic.p1, p1); |
| ASSERT_EQ(cubic.cp1, cp1); |
| ASSERT_EQ(cubic.cp2, cp2); |
| ASSERT_EQ(cubic.p2, p2); |
| }, |
| [](size_t index, const ContourComponent& contour) { |
| Point p1(0, 0); |
| ASSERT_EQ(index, 0u); |
| ASSERT_EQ(contour.destination, p1); |
| ASSERT_FALSE(contour.is_closed); |
| }); |
| } |
| |
| TEST(GeometryTest, BoundingBoxCubic) { |
| Path path; |
| path.AddCubicComponent({120, 160}, {25, 200}, {220, 260}, {220, 40}); |
| auto box = path.GetBoundingBox(); |
| Rect expected(93.9101, 40, 126.09, 158.862); |
| ASSERT_TRUE(box.has_value()); |
| ASSERT_RECT_NEAR(box.value(), expected); |
| } |
| |
| TEST(GeometryTest, BoundingBoxOfCompositePathIsCorrect) { |
| PathBuilder builder; |
| builder.AddRoundedRect({{10, 10}, {300, 300}}, {50, 50, 50, 50}); |
| auto path = builder.TakePath(); |
| auto actual = path.GetBoundingBox(); |
| Rect expected(10, 10, 300, 300); |
| ASSERT_TRUE(actual.has_value()); |
| ASSERT_RECT_NEAR(actual.value(), expected); |
| } |
| |
| TEST(GeometryTest, PathGetBoundingBoxForCubicWithNoDerivativeRootsIsCorrect) { |
| PathBuilder builder; |
| // Straight diagonal line. |
| builder.AddCubicCurve({0, 1}, {2, 3}, {4, 5}, {6, 7}); |
| auto path = builder.TakePath(); |
| auto actual = path.GetBoundingBox(); |
| auto expected = Rect::MakeLTRB(0, 1, 6, 7); |
| ASSERT_TRUE(actual.has_value()); |
| ASSERT_RECT_NEAR(actual.value(), 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); |
| } |
| |
| 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); |
| } |
| |
| { |
| Rect r1(1.0, 2.0, 3.0, 4.0); |
| IRect r2 = static_cast<IRect>(r1); |
| ASSERT_EQ(r2.origin.x, 1u); |
| ASSERT_EQ(r2.origin.y, 2u); |
| ASSERT_EQ(r2.size.width, 3u); |
| ASSERT_EQ(r2.size.height, 4u); |
| } |
| } |
| |
| 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, 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, 2u); |
| ASSERT_EQ(p2.y, 4u); |
| ASSERT_EQ(p2.z, 6u); |
| } |
| |
| { |
| Vector3 p1(2, 6, 12); |
| Vector3 p2 = p1 / 2.0f; |
| ASSERT_EQ(p2.x, 1u); |
| ASSERT_EQ(p2.y, 3u); |
| ASSERT_EQ(p2.z, 6u); |
| } |
| |
| // RHS |
| { |
| Vector3 p1(1, 2, 3); |
| Vector3 p2 = 2.0f * p1; |
| ASSERT_EQ(p2.x, 2u); |
| ASSERT_EQ(p2.y, 4u); |
| ASSERT_EQ(p2.z, 6u); |
| } |
| |
| { |
| Vector3 p1(2, 6, 12); |
| Vector3 p2 = 12.0f / p1; |
| ASSERT_EQ(p2.x, 6u); |
| ASSERT_EQ(p2.y, 2u); |
| ASSERT_EQ(p2.z, 1u); |
| } |
| } |
| |
| 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, 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, CanConvertBetweenDegressAndRadians) { |
| { |
| auto deg = Degrees{90.0}; |
| Radians rad = deg; |
| ASSERT_FLOAT_EQ(rad.radians, kPiOver2); |
| } |
| } |
| |
| TEST(GeometryTest, RectMakeSize) { |
| { |
| Size s(100, 200); |
| Rect r = Rect::MakeSize(s); |
| Rect expected = Rect::MakeLTRB(0, 0, 100, 200); |
| ASSERT_RECT_NEAR(r, expected); |
| } |
| |
| { |
| ISize s(100, 200); |
| Rect r = Rect::MakeSize(s); |
| Rect expected = Rect::MakeLTRB(0, 0, 100, 200); |
| ASSERT_RECT_NEAR(r, expected); |
| } |
| |
| { |
| Size s(100, 200); |
| IRect r = IRect::MakeSize(s); |
| IRect expected = IRect::MakeLTRB(0, 0, 100, 200); |
| ASSERT_EQ(r, expected); |
| } |
| |
| { |
| ISize s(100, 200); |
| IRect r = IRect::MakeSize(s); |
| IRect expected = IRect::MakeLTRB(0, 0, 100, 200); |
| ASSERT_EQ(r, expected); |
| } |
| } |
| |
| TEST(GeometryTest, RectUnion) { |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(0, 0, 0, 0); |
| auto u = a.Union(b); |
| auto expected = Rect(0, 0, 200, 200); |
| ASSERT_RECT_NEAR(u, expected); |
| } |
| |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(10, 10, 0, 0); |
| auto u = a.Union(b); |
| auto expected = Rect(10, 10, 190, 190); |
| ASSERT_RECT_NEAR(u, expected); |
| } |
| |
| { |
| Rect a(0, 0, 100, 100); |
| Rect b(10, 10, 100, 100); |
| auto u = a.Union(b); |
| auto expected = Rect(0, 0, 110, 110); |
| ASSERT_RECT_NEAR(u, expected); |
| } |
| |
| { |
| Rect a(0, 0, 100, 100); |
| Rect b(100, 100, 100, 100); |
| auto u = a.Union(b); |
| auto expected = Rect(0, 0, 200, 200); |
| ASSERT_RECT_NEAR(u, expected); |
| } |
| } |
| |
| TEST(GeometryTest, RectIntersection) { |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(0, 0, 0, 0); |
| |
| auto u = a.Intersection(b); |
| ASSERT_FALSE(u.has_value()); |
| } |
| |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(10, 10, 0, 0); |
| auto u = a.Intersection(b); |
| ASSERT_FALSE(u.has_value()); |
| } |
| |
| { |
| Rect a(0, 0, 100, 100); |
| Rect b(10, 10, 100, 100); |
| auto u = a.Intersection(b); |
| ASSERT_TRUE(u.has_value()); |
| auto expected = Rect(10, 10, 90, 90); |
| ASSERT_RECT_NEAR(u.value(), expected); |
| } |
| |
| { |
| Rect a(0, 0, 100, 100); |
| Rect b(100, 100, 100, 100); |
| auto u = a.Intersection(b); |
| ASSERT_FALSE(u.has_value()); |
| } |
| } |
| |
| TEST(GeometryTest, RectIntersectsWithRect) { |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(0, 0, 0, 0); |
| ASSERT_FALSE(a.IntersectsWithRect(b)); |
| } |
| |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(10, 10, 0, 0); |
| ASSERT_FALSE(a.IntersectsWithRect(b)); |
| } |
| |
| { |
| Rect a(0, 0, 100, 100); |
| Rect b(10, 10, 100, 100); |
| ASSERT_TRUE(a.IntersectsWithRect(b)); |
| } |
| |
| { |
| Rect a(0, 0, 100, 100); |
| Rect b(100, 100, 100, 100); |
| ASSERT_FALSE(a.IntersectsWithRect(b)); |
| } |
| } |
| |
| TEST(GeometryTest, RectContainsPoint) { |
| { |
| // Origin is inclusive |
| Rect r(100, 100, 100, 100); |
| Point p(100, 100); |
| ASSERT_TRUE(r.Contains(p)); |
| } |
| { |
| // Size is exclusive |
| Rect r(100, 100, 100, 100); |
| Point p(200, 200); |
| ASSERT_FALSE(r.Contains(p)); |
| } |
| { |
| Rect r(100, 100, 100, 100); |
| Point p(99, 99); |
| ASSERT_FALSE(r.Contains(p)); |
| } |
| { |
| Rect r(100, 100, 100, 100); |
| Point p(199, 199); |
| ASSERT_TRUE(r.Contains(p)); |
| } |
| } |
| |
| TEST(GeometryTest, RectContainsRect) { |
| { |
| Rect a(100, 100, 100, 100); |
| ASSERT_TRUE(a.Contains(a)); |
| } |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(0, 0, 0, 0); |
| ASSERT_FALSE(a.Contains(b)); |
| } |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(150, 150, 20, 20); |
| ASSERT_TRUE(a.Contains(b)); |
| } |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(150, 150, 100, 100); |
| ASSERT_FALSE(a.Contains(b)); |
| } |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(50, 50, 100, 100); |
| ASSERT_FALSE(a.Contains(b)); |
| } |
| { |
| Rect a(100, 100, 100, 100); |
| Rect b(0, 0, 300, 300); |
| ASSERT_FALSE(a.Contains(b)); |
| } |
| } |
| |
| TEST(GeometryTest, RectGetPoints) { |
| Rect r(100, 200, 300, 400); |
| auto points = r.GetPoints(); |
| ASSERT_POINT_NEAR(points[0], Point(100, 200)); |
| ASSERT_POINT_NEAR(points[1], Point(400, 200)); |
| ASSERT_POINT_NEAR(points[2], Point(100, 600)); |
| ASSERT_POINT_NEAR(points[3], Point(400, 600)); |
| } |
| |
| TEST(GeometryTest, RectGetTransformedPoints) { |
| Rect r(100, 200, 300, 400); |
| auto points = r.GetTransformedPoints(Matrix::MakeTranslation({10, 20})); |
| ASSERT_POINT_NEAR(points[0], Point(110, 220)); |
| ASSERT_POINT_NEAR(points[1], Point(410, 220)); |
| ASSERT_POINT_NEAR(points[2], Point(110, 620)); |
| ASSERT_POINT_NEAR(points[3], Point(410, 620)); |
| } |
| |
| TEST(GeometryTest, RectMakePointBounds) { |
| { |
| Rect r = |
| Rect::MakePointBounds({Point(1, 5), Point(4, -1), Point(0, 6)}).value(); |
| auto expected = Rect(0, -1, 4, 7); |
| ASSERT_RECT_NEAR(r, expected); |
| } |
| { |
| std::optional<Rect> r = Rect::MakePointBounds({}); |
| ASSERT_FALSE(r.has_value()); |
| } |
| } |
| |
| TEST(GeometryTest, RectGetPositive) { |
| { |
| Rect r{100, 200, 300, 400}; |
| auto actual = r.GetPositive(); |
| ASSERT_RECT_NEAR(r, actual); |
| } |
| { |
| Rect r{100, 200, -100, -100}; |
| auto actual = r.GetPositive(); |
| Rect expected(0, 100, 100, 100); |
| ASSERT_RECT_NEAR(expected, actual); |
| } |
| } |
| |
| TEST(GeometryTest, CubicPathComponentPolylineDoesNotIncludePointOne) { |
| CubicPathComponent component({10, 10}, {20, 35}, {35, 20}, {40, 40}); |
| auto polyline = component.CreatePolyline(); |
| ASSERT_NE(polyline.front().x, 10); |
| ASSERT_NE(polyline.front().y, 10); |
| ASSERT_EQ(polyline.back().x, 40); |
| ASSERT_EQ(polyline.back().y, 40); |
| } |
| |
| TEST(GeometryTest, PathCreatePolyLineDoesNotDuplicatePoints) { |
| Path path; |
| path.AddContourComponent({10, 10}); |
| path.AddLinearComponent({10, 10}, {20, 20}); |
| path.AddLinearComponent({20, 20}, {30, 30}); |
| path.AddContourComponent({40, 40}); |
| path.AddLinearComponent({40, 40}, {50, 50}); |
| |
| auto polyline = path.CreatePolyline(); |
| |
| ASSERT_EQ(polyline.contours.size(), 2u); |
| ASSERT_EQ(polyline.points.size(), 5u); |
| ASSERT_EQ(polyline.points[0].x, 10); |
| ASSERT_EQ(polyline.points[1].x, 20); |
| ASSERT_EQ(polyline.points[2].x, 30); |
| ASSERT_EQ(polyline.points[3].x, 40); |
| ASSERT_EQ(polyline.points[4].x, 50); |
| } |
| |
| TEST(GeometryTest, PathBuilderSetsCorrectContourPropertiesForAddCommands) { |
| // Closed shapes. |
| { |
| Path path = PathBuilder{}.AddCircle({100, 100}, 50).TakePath(); |
| ContourComponent contour; |
| path.GetContourComponentAtIndex(0, contour); |
| ASSERT_POINT_NEAR(contour.destination, Point(100, 50)); |
| ASSERT_TRUE(contour.is_closed); |
| } |
| |
| { |
| Path path = PathBuilder{}.AddOval(Rect(100, 100, 100, 100)).TakePath(); |
| ContourComponent contour; |
| path.GetContourComponentAtIndex(0, contour); |
| ASSERT_POINT_NEAR(contour.destination, Point(150, 100)); |
| ASSERT_TRUE(contour.is_closed); |
| } |
| |
| { |
| Path path = PathBuilder{}.AddRect(Rect(100, 100, 100, 100)).TakePath(); |
| ContourComponent contour; |
| path.GetContourComponentAtIndex(0, contour); |
| ASSERT_POINT_NEAR(contour.destination, Point(100, 100)); |
| ASSERT_TRUE(contour.is_closed); |
| } |
| |
| { |
| Path path = |
| PathBuilder{}.AddRoundedRect(Rect(100, 100, 100, 100), 10).TakePath(); |
| ContourComponent contour; |
| path.GetContourComponentAtIndex(0, contour); |
| ASSERT_POINT_NEAR(contour.destination, Point(110, 100)); |
| ASSERT_TRUE(contour.is_closed); |
| } |
| |
| // Open shapes. |
| { |
| Point p(100, 100); |
| Path path = PathBuilder{}.AddLine(p, {200, 100}).TakePath(); |
| ContourComponent contour; |
| path.GetContourComponentAtIndex(0, contour); |
| ASSERT_POINT_NEAR(contour.destination, p); |
| ASSERT_FALSE(contour.is_closed); |
| } |
| |
| { |
| Path path = |
| PathBuilder{} |
| .AddCubicCurve({100, 100}, {100, 50}, {100, 150}, {200, 100}) |
| .TakePath(); |
| ContourComponent contour; |
| path.GetContourComponentAtIndex(0, contour); |
| ASSERT_POINT_NEAR(contour.destination, Point(100, 100)); |
| ASSERT_FALSE(contour.is_closed); |
| } |
| |
| { |
| Path path = PathBuilder{} |
| .AddQuadraticCurve({100, 100}, {100, 50}, {200, 100}) |
| .TakePath(); |
| ContourComponent contour; |
| path.GetContourComponentAtIndex(0, contour); |
| ASSERT_POINT_NEAR(contour.destination, Point(100, 100)); |
| ASSERT_FALSE(contour.is_closed); |
| } |
| } |
| |
| TEST(GeometryTest, PathCreatePolylineGeneratesCorrectContourData) { |
| Path::Polyline polyline = PathBuilder{} |
| .AddLine({100, 100}, {200, 100}) |
| .MoveTo({100, 200}) |
| .LineTo({150, 250}) |
| .LineTo({200, 200}) |
| .Close() |
| .TakePath() |
| .CreatePolyline(); |
| ASSERT_EQ(polyline.points.size(), 6u); |
| ASSERT_EQ(polyline.contours.size(), 2u); |
| ASSERT_EQ(polyline.contours[0].is_closed, false); |
| ASSERT_EQ(polyline.contours[0].start_index, 0u); |
| ASSERT_EQ(polyline.contours[1].is_closed, true); |
| ASSERT_EQ(polyline.contours[1].start_index, 2u); |
| } |
| |
| TEST(GeometryTest, PolylineGetContourPointBoundsReturnsCorrectRanges) { |
| Path::Polyline polyline = PathBuilder{} |
| .AddLine({100, 100}, {200, 100}) |
| .MoveTo({100, 200}) |
| .LineTo({150, 250}) |
| .LineTo({200, 200}) |
| .Close() |
| .TakePath() |
| .CreatePolyline(); |
| size_t a1, a2, b1, b2; |
| std::tie(a1, a2) = polyline.GetContourPointBounds(0); |
| std::tie(b1, b2) = polyline.GetContourPointBounds(1); |
| ASSERT_EQ(a1, 0u); |
| ASSERT_EQ(a2, 2u); |
| ASSERT_EQ(b1, 2u); |
| ASSERT_EQ(b2, 6u); |
| } |
| |
| TEST(GeometryTest, PathAddRectPolylineHasCorrectContourData) { |
| Path::Polyline polyline = PathBuilder{} |
| .AddRect(Rect::MakeLTRB(50, 60, 70, 80)) |
| .TakePath() |
| .CreatePolyline(); |
| ASSERT_EQ(polyline.contours.size(), 1u); |
| ASSERT_TRUE(polyline.contours[0].is_closed); |
| ASSERT_EQ(polyline.contours[0].start_index, 0u); |
| ASSERT_EQ(polyline.points.size(), 5u); |
| ASSERT_EQ(polyline.points[0], Point(50, 60)); |
| ASSERT_EQ(polyline.points[1], Point(70, 60)); |
| ASSERT_EQ(polyline.points[2], Point(70, 80)); |
| ASSERT_EQ(polyline.points[3], Point(50, 80)); |
| ASSERT_EQ(polyline.points[4], Point(50, 60)); |
| } |
| |
| TEST(GeometryTest, PathPolylineDuplicatesAreRemovedForSameContour) { |
| Path::Polyline polyline = |
| PathBuilder{} |
| .MoveTo({50, 50}) |
| .LineTo({50, 50}) // Insert duplicate at beginning of contour. |
| .LineTo({100, 50}) |
| .LineTo({100, 50}) // Insert duplicate at contour join. |
| .LineTo({100, 100}) |
| .Close() // Implicitly insert duplicate {50, 50} across contours. |
| .LineTo({0, 50}) |
| .LineTo({0, 100}) |
| .LineTo({0, 100}) // Insert duplicate at end of contour. |
| .TakePath() |
| .CreatePolyline(); |
| ASSERT_EQ(polyline.contours.size(), 2u); |
| ASSERT_EQ(polyline.contours[0].start_index, 0u); |
| ASSERT_TRUE(polyline.contours[0].is_closed); |
| ASSERT_EQ(polyline.contours[1].start_index, 4u); |
| ASSERT_FALSE(polyline.contours[1].is_closed); |
| ASSERT_EQ(polyline.points.size(), 7u); |
| ASSERT_EQ(polyline.points[0], Point(50, 50)); |
| ASSERT_EQ(polyline.points[1], Point(100, 50)); |
| ASSERT_EQ(polyline.points[2], Point(100, 100)); |
| ASSERT_EQ(polyline.points[3], Point(50, 50)); |
| ASSERT_EQ(polyline.points[4], Point(50, 50)); |
| ASSERT_EQ(polyline.points[5], Point(0, 50)); |
| ASSERT_EQ(polyline.points[6], Point(0, 100)); |
| } |
| |
| 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, 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, GradientSSBO) { |
| { |
| // Simple 2 color gradient produces std::nullopt, as original |
| // color vector should be used. |
| std::vector<Color> colors = {Color::Red(), Color::Blue()}; |
| std::vector<Scalar> stops = {0.0, 1.0}; |
| |
| auto gradient = CreateGradientColors(colors, stops); |
| |
| ASSERT_EQ(gradient, std::nullopt); |
| } |
| |
| { |
| // 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 = CreateGradientColors(colors, stops); |
| ASSERT_EQ(gradient.value().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 = CreateGradientColors(colors, stops); |
| |
| ASSERT_EQ(gradient, std::nullopt); |
| } |
| |
| { |
| // 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 = CreateGradientColors(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_COLORS_NEAR(gradient.value(), lerped_colors); |
| ASSERT_EQ(gradient.value().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 = CreateGradientColors(colors, stops); |
| |
| ASSERT_EQ(gradient.value().size(), 1024u); |
| } |
| } |
| |
| } // namespace testing |
| } // namespace impeller |