1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
|
// Copyright 2011 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/animation/timing_function.h"
#include "testing/gtest/include/gtest/gtest.h"
namespace cc {
namespace {
TEST(TimingFunctionTest, CubicBezierTimingFunction) {
scoped_ptr<CubicBezierTimingFunction> function =
CubicBezierTimingFunction::Create(0.25, 0.0, 0.75, 1.0);
double epsilon = 0.00015;
EXPECT_NEAR(function->GetValue(0), 0, epsilon);
EXPECT_NEAR(function->GetValue(0.05), 0.01136, epsilon);
EXPECT_NEAR(function->GetValue(0.1), 0.03978, epsilon);
EXPECT_NEAR(function->GetValue(0.15), 0.079780, epsilon);
EXPECT_NEAR(function->GetValue(0.2), 0.12803, epsilon);
EXPECT_NEAR(function->GetValue(0.25), 0.18235, epsilon);
EXPECT_NEAR(function->GetValue(0.3), 0.24115, epsilon);
EXPECT_NEAR(function->GetValue(0.35), 0.30323, epsilon);
EXPECT_NEAR(function->GetValue(0.4), 0.36761, epsilon);
EXPECT_NEAR(function->GetValue(0.45), 0.43345, epsilon);
EXPECT_NEAR(function->GetValue(0.5), 0.5, epsilon);
EXPECT_NEAR(function->GetValue(0.6), 0.63238, epsilon);
EXPECT_NEAR(function->GetValue(0.65), 0.69676, epsilon);
EXPECT_NEAR(function->GetValue(0.7), 0.75884, epsilon);
EXPECT_NEAR(function->GetValue(0.75), 0.81764, epsilon);
EXPECT_NEAR(function->GetValue(0.8), 0.87196, epsilon);
EXPECT_NEAR(function->GetValue(0.85), 0.92021, epsilon);
EXPECT_NEAR(function->GetValue(0.9), 0.96021, epsilon);
EXPECT_NEAR(function->GetValue(0.95), 0.98863, epsilon);
EXPECT_NEAR(function->GetValue(1), 1, epsilon);
}
// Tests that the bezier timing function works with knots with y not in (0, 1).
TEST(TimingFunctionTest, CubicBezierTimingFunctionUnclampedYValues) {
scoped_ptr<CubicBezierTimingFunction> function =
CubicBezierTimingFunction::Create(0.5, -1.0, 0.5, 2.0);
double epsilon = 0.00015;
EXPECT_NEAR(function->GetValue(0.0), 0.0, epsilon);
EXPECT_NEAR(function->GetValue(0.05), -0.08954, epsilon);
EXPECT_NEAR(function->GetValue(0.1), -0.15613, epsilon);
EXPECT_NEAR(function->GetValue(0.15), -0.19641, epsilon);
EXPECT_NEAR(function->GetValue(0.2), -0.20651, epsilon);
EXPECT_NEAR(function->GetValue(0.25), -0.18232, epsilon);
EXPECT_NEAR(function->GetValue(0.3), -0.11992, epsilon);
EXPECT_NEAR(function->GetValue(0.35), -0.01672, epsilon);
EXPECT_NEAR(function->GetValue(0.4), 0.12660, epsilon);
EXPECT_NEAR(function->GetValue(0.45), 0.30349, epsilon);
EXPECT_NEAR(function->GetValue(0.5), 0.50000, epsilon);
EXPECT_NEAR(function->GetValue(0.55), 0.69651, epsilon);
EXPECT_NEAR(function->GetValue(0.6), 0.87340, epsilon);
EXPECT_NEAR(function->GetValue(0.65), 1.01672, epsilon);
EXPECT_NEAR(function->GetValue(0.7), 1.11992, epsilon);
EXPECT_NEAR(function->GetValue(0.75), 1.18232, epsilon);
EXPECT_NEAR(function->GetValue(0.8), 1.20651, epsilon);
EXPECT_NEAR(function->GetValue(0.85), 1.19641, epsilon);
EXPECT_NEAR(function->GetValue(0.9), 1.15613, epsilon);
EXPECT_NEAR(function->GetValue(0.95), 1.08954, epsilon);
EXPECT_NEAR(function->GetValue(1.0), 1.0, epsilon);
}
TEST(TimingFunctionTest, CubicBezierTimingFunctionRange) {
double epsilon = 0.00015;
float min, max;
// Derivative is a constant.
scoped_ptr<CubicBezierTimingFunction> function =
CubicBezierTimingFunction::Create(0.25, (1.0 / 3.0), 0.75, (2.0 / 3.0));
function->Range(&min, &max);
EXPECT_EQ(0.f, min);
EXPECT_EQ(1.f, max);
// Derivative is linear.
function = CubicBezierTimingFunction::Create(0.25, -0.5, 0.75, (-1.0 / 6.0));
function->Range(&min, &max);
EXPECT_NEAR(min, -0.225, epsilon);
EXPECT_EQ(1.f, max);
// Derivative has no real roots.
function = CubicBezierTimingFunction::Create(0.25, 0.25, 0.75, 0.5);
function->Range(&min, &max);
EXPECT_EQ(0.f, min);
EXPECT_EQ(1.f, max);
// Derivative has exactly one real root.
function = CubicBezierTimingFunction::Create(0.0, 1.0, 1.0, 0.0);
function->Range(&min, &max);
EXPECT_EQ(0.f, min);
EXPECT_EQ(1.f, max);
// Derivative has one root < 0 and one root > 1.
function = CubicBezierTimingFunction::Create(0.25, 0.1, 0.75, 0.9);
function->Range(&min, &max);
EXPECT_EQ(0.f, min);
EXPECT_EQ(1.f, max);
// Derivative has two roots in [0,1].
function = CubicBezierTimingFunction::Create(0.25, 2.5, 0.75, 0.5);
function->Range(&min, &max);
EXPECT_EQ(0.f, min);
EXPECT_NEAR(max, 1.28818, epsilon);
function = CubicBezierTimingFunction::Create(0.25, 0.5, 0.75, -1.5);
function->Range(&min, &max);
EXPECT_NEAR(min, -0.28818, epsilon);
EXPECT_EQ(1.f, max);
// Derivative has one root < 0 and one root in [0,1].
function = CubicBezierTimingFunction::Create(0.25, 0.1, 0.75, 1.5);
function->Range(&min, &max);
EXPECT_EQ(0.f, min);
EXPECT_NEAR(max, 1.10755, epsilon);
// Derivative has one root in [0,1] and one root > 1.
function = CubicBezierTimingFunction::Create(0.25, -0.5, 0.75, 0.9);
function->Range(&min, &max);
EXPECT_NEAR(min, -0.10755, epsilon);
EXPECT_EQ(1.f, max);
// Derivative has two roots < 0.
function = CubicBezierTimingFunction::Create(0.25, 0.3, 0.75, 0.633);
function->Range(&min, &max);
EXPECT_EQ(0.f, min);
EXPECT_EQ(1.f, max);
// Derivative has two roots > 1.
function = CubicBezierTimingFunction::Create(0.25, 0.367, 0.75, 0.7);
function->Range(&min, &max);
EXPECT_EQ(0.f, min);
EXPECT_EQ(1.f, max);
}
} // namespace
} // namespace cc
|
