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Issue 140253013: Define accelerated steps time function. Base URL: https://chromium.googlesource.com/chromium/src.git@master
Patch Set: updated patch: put Steps and CubicBezier in ui/gfx/animation Created 6 years, 3 months ago
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1 // Copyright 2014 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 "ui/gfx/geometry/cubic_bezier.h"
6
7 #include "base/memory/scoped_ptr.h"
8 #include "testing/gtest/include/gtest/gtest.h"
9
10 namespace gfx {
11 namespace {
12
13 TEST(CubicBezierTest, Basic) {
14 CubicBezier function(0.25, 0.0, 0.75, 1.0);
15
16 double epsilon = 0.00015;
17
18 EXPECT_NEAR(function.Solve(0), 0, epsilon);
19 EXPECT_NEAR(function.Solve(0.05), 0.01136, epsilon);
20 EXPECT_NEAR(function.Solve(0.1), 0.03978, epsilon);
21 EXPECT_NEAR(function.Solve(0.15), 0.079780, epsilon);
22 EXPECT_NEAR(function.Solve(0.2), 0.12803, epsilon);
23 EXPECT_NEAR(function.Solve(0.25), 0.18235, epsilon);
24 EXPECT_NEAR(function.Solve(0.3), 0.24115, epsilon);
25 EXPECT_NEAR(function.Solve(0.35), 0.30323, epsilon);
26 EXPECT_NEAR(function.Solve(0.4), 0.36761, epsilon);
27 EXPECT_NEAR(function.Solve(0.45), 0.43345, epsilon);
28 EXPECT_NEAR(function.Solve(0.5), 0.5, epsilon);
29 EXPECT_NEAR(function.Solve(0.6), 0.63238, epsilon);
30 EXPECT_NEAR(function.Solve(0.65), 0.69676, epsilon);
31 EXPECT_NEAR(function.Solve(0.7), 0.75884, epsilon);
32 EXPECT_NEAR(function.Solve(0.75), 0.81764, epsilon);
33 EXPECT_NEAR(function.Solve(0.8), 0.87196, epsilon);
34 EXPECT_NEAR(function.Solve(0.85), 0.92021, epsilon);
35 EXPECT_NEAR(function.Solve(0.9), 0.96021, epsilon);
36 EXPECT_NEAR(function.Solve(0.95), 0.98863, epsilon);
37 EXPECT_NEAR(function.Solve(1), 1, epsilon);
38 }
39
40 // Tests that solving the bezier works with knots with y not in (0, 1).
41 TEST(CubicBezierTest, UnclampedYValues) {
42 CubicBezier function(0.5, -1.0, 0.5, 2.0);
43
44 double epsilon = 0.00015;
45
46 EXPECT_NEAR(function.Solve(0.0), 0.0, epsilon);
47 EXPECT_NEAR(function.Solve(0.05), -0.08954, epsilon);
48 EXPECT_NEAR(function.Solve(0.1), -0.15613, epsilon);
49 EXPECT_NEAR(function.Solve(0.15), -0.19641, epsilon);
50 EXPECT_NEAR(function.Solve(0.2), -0.20651, epsilon);
51 EXPECT_NEAR(function.Solve(0.25), -0.18232, epsilon);
52 EXPECT_NEAR(function.Solve(0.3), -0.11992, epsilon);
53 EXPECT_NEAR(function.Solve(0.35), -0.01672, epsilon);
54 EXPECT_NEAR(function.Solve(0.4), 0.12660, epsilon);
55 EXPECT_NEAR(function.Solve(0.45), 0.30349, epsilon);
56 EXPECT_NEAR(function.Solve(0.5), 0.50000, epsilon);
57 EXPECT_NEAR(function.Solve(0.55), 0.69651, epsilon);
58 EXPECT_NEAR(function.Solve(0.6), 0.87340, epsilon);
59 EXPECT_NEAR(function.Solve(0.65), 1.01672, epsilon);
60 EXPECT_NEAR(function.Solve(0.7), 1.11992, epsilon);
61 EXPECT_NEAR(function.Solve(0.75), 1.18232, epsilon);
62 EXPECT_NEAR(function.Solve(0.8), 1.20651, epsilon);
63 EXPECT_NEAR(function.Solve(0.85), 1.19641, epsilon);
64 EXPECT_NEAR(function.Solve(0.9), 1.15613, epsilon);
65 EXPECT_NEAR(function.Solve(0.95), 1.08954, epsilon);
66 EXPECT_NEAR(function.Solve(1.0), 1.0, epsilon);
67 }
68
69 TEST(CubicBezierTest, Range) {
70 double epsilon = 0.00015;
71 double min, max;
72
73 // Derivative is a constant.
74 scoped_ptr<CubicBezier> function(
75 new CubicBezier(0.25, (1.0 / 3.0), 0.75, (2.0 / 3.0)));
76 function->Range(&min, &max);
77 EXPECT_EQ(0, min);
78 EXPECT_EQ(1, max);
79
80 // Derivative is linear.
81 function.reset(new CubicBezier(0.25, -0.5, 0.75, (-1.0 / 6.0)));
82 function->Range(&min, &max);
83 EXPECT_NEAR(min, -0.225, epsilon);
84 EXPECT_EQ(1, max);
85
86 // Derivative has no real roots.
87 function.reset(new CubicBezier(0.25, 0.25, 0.75, 0.5));
88 function->Range(&min, &max);
89 EXPECT_EQ(0, min);
90 EXPECT_EQ(1, max);
91
92 // Derivative has exactly one real root.
93 function.reset(new CubicBezier(0.0, 1.0, 1.0, 0.0));
94 function->Range(&min, &max);
95 EXPECT_EQ(0, min);
96 EXPECT_EQ(1, max);
97
98 // Derivative has one root < 0 and one root > 1.
99 function.reset(new CubicBezier(0.25, 0.1, 0.75, 0.9));
100 function->Range(&min, &max);
101 EXPECT_EQ(0, min);
102 EXPECT_EQ(1, max);
103
104 // Derivative has two roots in [0,1].
105 function.reset(new CubicBezier(0.25, 2.5, 0.75, 0.5));
106 function->Range(&min, &max);
107 EXPECT_EQ(0, min);
108 EXPECT_NEAR(max, 1.28818, epsilon);
109 function.reset(new CubicBezier(0.25, 0.5, 0.75, -1.5));
110 function->Range(&min, &max);
111 EXPECT_NEAR(min, -0.28818, epsilon);
112 EXPECT_EQ(1, max);
113
114 // Derivative has one root < 0 and one root in [0,1].
115 function.reset(new CubicBezier(0.25, 0.1, 0.75, 1.5));
116 function->Range(&min, &max);
117 EXPECT_EQ(0, min);
118 EXPECT_NEAR(max, 1.10755, epsilon);
119
120 // Derivative has one root in [0,1] and one root > 1.
121 function.reset(new CubicBezier(0.25, -0.5, 0.75, 0.9));
122 function->Range(&min, &max);
123 EXPECT_NEAR(min, -0.10755, epsilon);
124 EXPECT_EQ(1, max);
125
126 // Derivative has two roots < 0.
127 function.reset(new CubicBezier(0.25, 0.3, 0.75, 0.633));
128 function->Range(&min, &max);
129 EXPECT_EQ(0, min);
130 EXPECT_EQ(1, max);
131
132 // Derivative has two roots > 1.
133 function.reset(new CubicBezier(0.25, 0.367, 0.75, 0.7));
134 function->Range(&min, &max);
135 EXPECT_EQ(0.f, min);
136 EXPECT_EQ(1.f, max);
137 }
138
139 TEST(CubicBezierTest, Slope) {
140 CubicBezier function(0.25, 0.0, 0.75, 1.0);
141
142 double epsilon = 0.00015;
143
144 EXPECT_NEAR(function.Slope(0), 0, epsilon);
145 EXPECT_NEAR(function.Slope(0.05), 0.42170, epsilon);
146 EXPECT_NEAR(function.Slope(0.1), 0.69778, epsilon);
147 EXPECT_NEAR(function.Slope(0.15), 0.89121, epsilon);
148 EXPECT_NEAR(function.Slope(0.2), 1.03184, epsilon);
149 EXPECT_NEAR(function.Slope(0.25), 1.13576, epsilon);
150 EXPECT_NEAR(function.Slope(0.3), 1.21239, epsilon);
151 EXPECT_NEAR(function.Slope(0.35), 1.26751, epsilon);
152 EXPECT_NEAR(function.Slope(0.4), 1.30474, epsilon);
153 EXPECT_NEAR(function.Slope(0.45), 1.32628, epsilon);
154 EXPECT_NEAR(function.Slope(0.5), 1.33333, epsilon);
155 EXPECT_NEAR(function.Slope(0.55), 1.32628, epsilon);
156 EXPECT_NEAR(function.Slope(0.6), 1.30474, epsilon);
157 EXPECT_NEAR(function.Slope(0.65), 1.26751, epsilon);
158 EXPECT_NEAR(function.Slope(0.7), 1.21239, epsilon);
159 EXPECT_NEAR(function.Slope(0.75), 1.13576, epsilon);
160 EXPECT_NEAR(function.Slope(0.8), 1.03184, epsilon);
161 EXPECT_NEAR(function.Slope(0.85), 0.89121, epsilon);
162 EXPECT_NEAR(function.Slope(0.9), 0.69778, epsilon);
163 EXPECT_NEAR(function.Slope(0.95), 0.42170, epsilon);
164 EXPECT_NEAR(function.Slope(1), 0, epsilon);
165 }
166
167 } // namespace
168 } // namespace gfx
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