Index: cc/base/math_util_unittest.cc |
diff --git a/cc/base/math_util_unittest.cc b/cc/base/math_util_unittest.cc |
new file mode 100644 |
index 0000000000000000000000000000000000000000..325870dc1f61df89b5b161a8b8e7b572bda6a7fa |
--- /dev/null |
+++ b/cc/base/math_util_unittest.cc |
@@ -0,0 +1,197 @@ |
+// Copyright 2012 The Chromium 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 "cc/base/math_util.h" |
+ |
+#include <cmath> |
+ |
+#include "cc/test/geometry_test_utils.h" |
+#include "testing/gmock/include/gmock/gmock.h" |
+#include "testing/gtest/include/gtest/gtest.h" |
+#include "ui/gfx/geometry/rect.h" |
+#include "ui/gfx/geometry/rect_f.h" |
+#include "ui/gfx/transform.h" |
+ |
+namespace cc { |
+namespace { |
+ |
+TEST(MathUtilTest, ProjectionOfPerpendicularPlane) { |
+ // In this case, the m33() element of the transform becomes zero, which could |
+ // cause a divide-by-zero when projecting points/quads. |
+ |
+ gfx::Transform transform; |
+ transform.MakeIdentity(); |
+ transform.matrix().set(2, 2, 0); |
+ |
+ gfx::RectF rect = gfx::RectF(0, 0, 1, 1); |
+ gfx::RectF projected_rect = MathUtil::ProjectClippedRect(transform, rect); |
+ |
+ EXPECT_EQ(0, projected_rect.x()); |
+ EXPECT_EQ(0, projected_rect.y()); |
+ EXPECT_TRUE(projected_rect.IsEmpty()); |
+} |
+ |
+TEST(MathUtilTest, EnclosingClippedRectUsesCorrectInitialBounds) { |
+ HomogeneousCoordinate h1(-100, -100, 0, 1); |
+ HomogeneousCoordinate h2(-10, -10, 0, 1); |
+ HomogeneousCoordinate h3(10, 10, 0, -1); |
+ HomogeneousCoordinate h4(100, 100, 0, -1); |
+ |
+ // The bounds of the enclosing clipped rect should be -100 to -10 for both x |
+ // and y. However, if there is a bug where the initial xmin/xmax/ymin/ymax are |
+ // initialized to numeric_limits<float>::min() (which is zero, not -flt_max) |
+ // then the enclosing clipped rect will be computed incorrectly. |
+ gfx::RectF result = MathUtil::ComputeEnclosingClippedRect(h1, h2, h3, h4); |
+ |
+ // Due to floating point math in ComputeClippedPointForEdge this result |
+ // is fairly imprecise. 0.15f was empirically determined. |
+ EXPECT_RECT_NEAR( |
+ gfx::RectF(gfx::PointF(-100, -100), gfx::SizeF(90, 90)), result, 0.15f); |
+} |
+ |
+TEST(MathUtilTest, EnclosingRectOfVerticesUsesCorrectInitialBounds) { |
+ gfx::PointF vertices[3]; |
+ int num_vertices = 3; |
+ |
+ vertices[0] = gfx::PointF(-10, -100); |
+ vertices[1] = gfx::PointF(-100, -10); |
+ vertices[2] = gfx::PointF(-30, -30); |
+ |
+ // The bounds of the enclosing rect should be -100 to -10 for both x and y. |
+ // However, if there is a bug where the initial xmin/xmax/ymin/ymax are |
+ // initialized to numeric_limits<float>::min() (which is zero, not -flt_max) |
+ // then the enclosing clipped rect will be computed incorrectly. |
+ gfx::RectF result = |
+ MathUtil::ComputeEnclosingRectOfVertices(vertices, num_vertices); |
+ |
+ EXPECT_FLOAT_RECT_EQ(gfx::RectF(gfx::PointF(-100, -100), gfx::SizeF(90, 90)), |
+ result); |
+} |
+ |
+TEST(MathUtilTest, SmallestAngleBetweenVectors) { |
+ gfx::Vector2dF x(1, 0); |
+ gfx::Vector2dF y(0, 1); |
+ gfx::Vector2dF test_vector(0.5, 0.5); |
+ |
+ // Orthogonal vectors are at an angle of 90 degress. |
+ EXPECT_EQ(90, MathUtil::SmallestAngleBetweenVectors(x, y)); |
+ |
+ // A vector makes a zero angle with itself. |
+ EXPECT_EQ(0, MathUtil::SmallestAngleBetweenVectors(x, x)); |
+ EXPECT_EQ(0, MathUtil::SmallestAngleBetweenVectors(y, y)); |
+ EXPECT_EQ(0, MathUtil::SmallestAngleBetweenVectors(test_vector, test_vector)); |
+ |
+ // Parallel but reversed vectors are at 180 degrees. |
+ EXPECT_FLOAT_EQ(180, MathUtil::SmallestAngleBetweenVectors(x, -x)); |
+ EXPECT_FLOAT_EQ(180, MathUtil::SmallestAngleBetweenVectors(y, -y)); |
+ EXPECT_FLOAT_EQ( |
+ 180, MathUtil::SmallestAngleBetweenVectors(test_vector, -test_vector)); |
+ |
+ // The test vector is at a known angle. |
+ EXPECT_FLOAT_EQ( |
+ 45, std::floor(MathUtil::SmallestAngleBetweenVectors(test_vector, x))); |
+ EXPECT_FLOAT_EQ( |
+ 45, std::floor(MathUtil::SmallestAngleBetweenVectors(test_vector, y))); |
+} |
+ |
+TEST(MathUtilTest, VectorProjection) { |
+ gfx::Vector2dF x(1, 0); |
+ gfx::Vector2dF y(0, 1); |
+ gfx::Vector2dF test_vector(0.3f, 0.7f); |
+ |
+ // Orthogonal vectors project to a zero vector. |
+ EXPECT_VECTOR_EQ(gfx::Vector2dF(0, 0), MathUtil::ProjectVector(x, y)); |
+ EXPECT_VECTOR_EQ(gfx::Vector2dF(0, 0), MathUtil::ProjectVector(y, x)); |
+ |
+ // Projecting a vector onto the orthonormal basis gives the corresponding |
+ // component of the vector. |
+ EXPECT_VECTOR_EQ(gfx::Vector2dF(test_vector.x(), 0), |
+ MathUtil::ProjectVector(test_vector, x)); |
+ EXPECT_VECTOR_EQ(gfx::Vector2dF(0, test_vector.y()), |
+ MathUtil::ProjectVector(test_vector, y)); |
+ |
+ // Finally check than an arbitrary vector projected to another one gives a |
+ // vector parallel to the second vector. |
+ gfx::Vector2dF target_vector(0.5, 0.2f); |
+ gfx::Vector2dF projected_vector = |
+ MathUtil::ProjectVector(test_vector, target_vector); |
+ EXPECT_EQ(projected_vector.x() / target_vector.x(), |
+ projected_vector.y() / target_vector.y()); |
+} |
+ |
+TEST(MathUtilTest, MapEnclosedRectWith2dAxisAlignedTransform) { |
+ gfx::Rect input(1, 2, 3, 4); |
+ gfx::Rect output; |
+ gfx::Transform transform; |
+ |
+ // Identity. |
+ output = |
+ MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(transform, input); |
+ EXPECT_EQ(input, output); |
+ |
+ // Integer translate. |
+ transform.Translate(2.0, 3.0); |
+ output = |
+ MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(transform, input); |
+ EXPECT_EQ(gfx::Rect(3, 5, 3, 4), output); |
+ |
+ // Non-integer translate. |
+ transform.Translate(0.5, 0.5); |
+ output = |
+ MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(transform, input); |
+ EXPECT_EQ(gfx::Rect(4, 6, 2, 3), output); |
+ |
+ // Scale. |
+ transform = gfx::Transform(); |
+ transform.Scale(2.0, 3.0); |
+ output = |
+ MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(transform, input); |
+ EXPECT_EQ(gfx::Rect(2, 6, 6, 12), output); |
+ |
+ // Rotate Z. |
+ transform = gfx::Transform(); |
+ transform.Translate(1.0, 2.0); |
+ transform.RotateAboutZAxis(90.0); |
+ transform.Translate(-1.0, -2.0); |
+ output = |
+ MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(transform, input); |
+ EXPECT_EQ(gfx::Rect(-3, 2, 4, 3), output); |
+ |
+ // Rotate X. |
+ transform = gfx::Transform(); |
+ transform.RotateAboutXAxis(90.0); |
+ output = |
+ MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(transform, input); |
+ EXPECT_TRUE(output.IsEmpty()); |
+ |
+ transform = gfx::Transform(); |
+ transform.RotateAboutXAxis(180.0); |
+ output = |
+ MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(transform, input); |
+ EXPECT_EQ(gfx::Rect(1, -6, 3, 4), output); |
+ |
+ // Rotate Y. |
+ transform = gfx::Transform(); |
+ transform.RotateAboutYAxis(90.0); |
+ output = |
+ MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(transform, input); |
+ EXPECT_TRUE(output.IsEmpty()); |
+ |
+ transform = gfx::Transform(); |
+ transform.RotateAboutYAxis(180.0); |
+ output = |
+ MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(transform, input); |
+ EXPECT_EQ(gfx::Rect(-4, 2, 3, 4), output); |
+ |
+ // Translate Z. |
+ transform = gfx::Transform(); |
+ transform.ApplyPerspectiveDepth(10.0); |
+ transform.Translate3d(0.0, 0.0, 5.0); |
+ output = |
+ MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(transform, input); |
+ EXPECT_EQ(gfx::Rect(2, 4, 6, 8), output); |
+} |
+ |
+} // namespace |
+} // namespace cc |