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1 // Copyright 2012 The Chromium Authors. All rights reserved. | |
2 // Use of this source code is governed by a BSD-style license that can be | |
3 // found in the LICENSE file. | |
4 | |
5 #include "cc/math_util.h" | |
6 | |
7 #include <cmath> | |
8 | |
9 #include "cc/test/geometry_test_utils.h" | |
10 #include "testing/gmock/include/gmock/gmock.h" | |
11 #include "testing/gtest/include/gtest/gtest.h" | |
12 #include "ui/gfx/rect.h" | |
13 #include "ui/gfx/rect_f.h" | |
14 #include "ui/gfx/transform.h" | |
15 | |
16 namespace cc { | |
17 namespace { | |
18 | |
19 TEST(MathUtilTest, verifyProjectionOfPerpendicularPlane) | |
20 { | |
21 // In this case, the m33() element of the transform becomes zero, which coul
d cause a | |
22 // divide-by-zero when projecting points/quads. | |
23 | |
24 gfx::Transform transform; | |
25 transform.MakeIdentity(); | |
26 transform.matrix().setDouble(2, 2, 0); | |
27 | |
28 gfx::RectF rect = gfx::RectF(0, 0, 1, 1); | |
29 gfx::RectF projectedRect = MathUtil::projectClippedRect(transform, rect); | |
30 | |
31 EXPECT_EQ(0, projectedRect.x()); | |
32 EXPECT_EQ(0, projectedRect.y()); | |
33 EXPECT_TRUE(projectedRect.IsEmpty()); | |
34 } | |
35 | |
36 TEST(MathUtilTest, verifyEnclosingClippedRectUsesCorrectInitialBounds) | |
37 { | |
38 HomogeneousCoordinate h1(-100, -100, 0, 1); | |
39 HomogeneousCoordinate h2(-10, -10, 0, 1); | |
40 HomogeneousCoordinate h3(10, 10, 0, -1); | |
41 HomogeneousCoordinate h4(100, 100, 0, -1); | |
42 | |
43 // The bounds of the enclosing clipped rect should be -100 to -10 for both x
and y. | |
44 // However, if there is a bug where the initial xmin/xmax/ymin/ymax are init
ialized to | |
45 // numeric_limits<float>::min() (which is zero, not -flt_max) then the enclo
sing | |
46 // clipped rect will be computed incorrectly. | |
47 gfx::RectF result = MathUtil::computeEnclosingClippedRect(h1, h2, h3, h4); | |
48 | |
49 EXPECT_FLOAT_RECT_EQ(gfx::RectF(gfx::PointF(-100, -100), gfx::SizeF(90, 90))
, result); | |
50 } | |
51 | |
52 TEST(MathUtilTest, verifyEnclosingRectOfVerticesUsesCorrectInitialBounds) | |
53 { | |
54 gfx::PointF vertices[3]; | |
55 int numVertices = 3; | |
56 | |
57 vertices[0] = gfx::PointF(-10, -100); | |
58 vertices[1] = gfx::PointF(-100, -10); | |
59 vertices[2] = gfx::PointF(-30, -30); | |
60 | |
61 // The bounds of the enclosing rect should be -100 to -10 for both x and y.
However, | |
62 // if there is a bug where the initial xmin/xmax/ymin/ymax are initialized t
o | |
63 // numeric_limits<float>::min() (which is zero, not -flt_max) then the enclo
sing | |
64 // clipped rect will be computed incorrectly. | |
65 gfx::RectF result = MathUtil::computeEnclosingRectOfVertices(vertices, numVe
rtices); | |
66 | |
67 EXPECT_FLOAT_RECT_EQ(gfx::RectF(gfx::PointF(-100, -100), gfx::SizeF(90, 90))
, result); | |
68 } | |
69 | |
70 TEST(MathUtilTest, smallestAngleBetweenVectors) | |
71 { | |
72 gfx::Vector2dF x(1, 0); | |
73 gfx::Vector2dF y(0, 1); | |
74 gfx::Vector2dF testVector(0.5, 0.5); | |
75 | |
76 // Orthogonal vectors are at an angle of 90 degress. | |
77 EXPECT_EQ(90, MathUtil::smallestAngleBetweenVectors(x, y)); | |
78 | |
79 // A vector makes a zero angle with itself. | |
80 EXPECT_EQ(0, MathUtil::smallestAngleBetweenVectors(x, x)); | |
81 EXPECT_EQ(0, MathUtil::smallestAngleBetweenVectors(y, y)); | |
82 EXPECT_EQ(0, MathUtil::smallestAngleBetweenVectors(testVector, testVector)); | |
83 | |
84 // Parallel but reversed vectors are at 180 degrees. | |
85 EXPECT_FLOAT_EQ(180, MathUtil::smallestAngleBetweenVectors(x, -x)); | |
86 EXPECT_FLOAT_EQ(180, MathUtil::smallestAngleBetweenVectors(y, -y)); | |
87 EXPECT_FLOAT_EQ(180, MathUtil::smallestAngleBetweenVectors(testVector, -test
Vector)); | |
88 | |
89 // The test vector is at a known angle. | |
90 EXPECT_FLOAT_EQ(45, std::floor(MathUtil::smallestAngleBetweenVectors(testVec
tor, x))); | |
91 EXPECT_FLOAT_EQ(45, std::floor(MathUtil::smallestAngleBetweenVectors(testVec
tor, y))); | |
92 } | |
93 | |
94 TEST(MathUtilTest, vectorProjection) | |
95 { | |
96 gfx::Vector2dF x(1, 0); | |
97 gfx::Vector2dF y(0, 1); | |
98 gfx::Vector2dF testVector(0.3f, 0.7f); | |
99 | |
100 // Orthogonal vectors project to a zero vector. | |
101 EXPECT_VECTOR_EQ(gfx::Vector2dF(0, 0), MathUtil::projectVector(x, y)); | |
102 EXPECT_VECTOR_EQ(gfx::Vector2dF(0, 0), MathUtil::projectVector(y, x)); | |
103 | |
104 // Projecting a vector onto the orthonormal basis gives the corresponding co
mponent of the | |
105 // vector. | |
106 EXPECT_VECTOR_EQ(gfx::Vector2dF(testVector.x(), 0), MathUtil::projectVector(
testVector, x)); | |
107 EXPECT_VECTOR_EQ(gfx::Vector2dF(0, testVector.y()), MathUtil::projectVector(
testVector, y)); | |
108 | |
109 // Finally check than an arbitrary vector projected to another one gives a v
ector parallel to | |
110 // the second vector. | |
111 gfx::Vector2dF targetVector(0.5, 0.2f); | |
112 gfx::Vector2dF projectedVector = MathUtil::projectVector(testVector, targetV
ector); | |
113 EXPECT_EQ(projectedVector.x() / targetVector.x(), | |
114 projectedVector.y() / targetVector.y()); | |
115 } | |
116 | |
117 } // namespace | |
118 } // namespace cc | |
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