cc/animation/timing_function_unittest.cc

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