UI GFX Geometry: Make UnitBezier a wrapper for gfx::CubicBezier

third_party/WebKit/Source/platform/animation/UnitBezierTest.cpp

-/*
- * Copyright (C) 2013 Google Inc. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1.  Redistributions of source code must retain the above copyright
- *     notice, this list of conditions and the following disclaimer.
- * 2.  Redistributions in binary form must reproduce the above copyright
- *     notice, this list of conditions and the following disclaimer in the
- *     documentation and/or other materials provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED BY APPLE INC. AND ITS CONTRIBUTORS ``AS IS'' AND ANY
- * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
- * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
- * DISCLAIMED. IN NO EVENT SHALL APPLE INC. OR ITS CONTRIBUTORS BE LIABLE FOR ANY
- * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
- * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
- * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
- * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
- * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#include "platform/animation/UnitBezier.h"
-
-#include "base/memory/scoped_ptr.h"
-#include "testing/gtest/include/gtest/gtest.h"
-
-namespace blink {
-
-TEST(UnitBezierTest, BasicUse)
-{
-    UnitBezier bezier(0.5, 1.0, 0.5, 1.0);
-    EXPECT_EQ(0.875, bezier.solve(0.5));
-}
-
-TEST(UnitBezierTest, Overshoot)
-{
-    UnitBezier bezier(0.5, 2.0, 0.5, 2.0);
-    EXPECT_EQ(1.625, bezier.solve(0.5));
-}
-
-TEST(UnitBezierTest, Undershoot)
-{
-    UnitBezier bezier(0.5, -1.0, 0.5, -1.0);
-    EXPECT_EQ(-0.625, bezier.solve(0.5));
-}
-
-TEST(UnitBezierTest, InputAtEdgeOfRange)
-{
-    UnitBezier bezier(0.5, 1.0, 0.5, 1.0);
-    EXPECT_EQ(0.0, bezier.solve(0.0));
-    EXPECT_EQ(1.0, bezier.solve(1.0));
-}
-
-TEST(UnitBezierTest, InputOutOfRange)
-{
-    UnitBezier bezier(0.5, 1.0, 0.5, 1.0);
-    EXPECT_EQ(-2.0, bezier.solve(-1.0));
-    EXPECT_EQ(1.0, bezier.solve(2.0));
-}
-
-TEST(UnitBezierTest, InputOutOfRangeLargeEpsilon)
-{
-    UnitBezier bezier(0.5, 1.0, 0.5, 1.0);
-    EXPECT_EQ(-2.0, bezier.solveWithEpsilon(-1.0, 1.0));
-    EXPECT_EQ(1.0, bezier.solveWithEpsilon(2.0, 1.0));
-}
-
-TEST(UnitBezierTest, InputOutOfRangeCoincidentEndpoints)
-{
-    UnitBezier bezier(0.0, 0.0, 1.0, 1.0);
-    EXPECT_EQ(-1.0, bezier.solve(-1.0));
-    EXPECT_EQ(2.0, bezier.solve(2.0));
-}
-
-TEST(UnitBezierTest, InputOutOfRangeVerticalGradient)
-{
-    UnitBezier bezier(0.0, 1.0, 1.0, 0.0);
-    EXPECT_EQ(0.0, bezier.solve(-1.0));
-    EXPECT_EQ(1.0, bezier.solve(2.0));
-}
-
-TEST(UnitBezierTest, InputOutOfRangeDistinctEndpoints)
-{
-    UnitBezier bezier(0.1, 0.2, 0.8, 0.8);
-    EXPECT_EQ(-2.0, bezier.solve(-1.0));
-    EXPECT_EQ(2.0, bezier.solve(2.0));
-}
-
-TEST(UnitBezierTest, Range)
-{
-    double epsilon = 0.00015;
-    double min, max;
-
-    // Derivative is a constant.
-    scoped_ptr<UnitBezier> bezier(
-        new UnitBezier(0.25, (1.0 / 3.0), 0.75, (2.0 / 3.0)));
-    bezier->range(&min, &max);
-    EXPECT_EQ(0, min);
-    EXPECT_EQ(1, max);
-
-    // Derivative is linear.
-    bezier.reset(new UnitBezier(0.25, -0.5, 0.75, (-1.0 / 6.0)));
-    bezier->range(&min, &max);
-    EXPECT_NEAR(min, -0.225, epsilon);
-    EXPECT_EQ(1, max);
-
-    // Derivative has no real roots.
-    bezier.reset(new UnitBezier(0.25, 0.25, 0.75, 0.5));
-    bezier->range(&min, &max);
-    EXPECT_EQ(0, min);
-    EXPECT_EQ(1, max);
-
-    // Derivative has exactly one real root.
-    bezier.reset(new UnitBezier(0.0, 1.0, 1.0, 0.0));
-    bezier->range(&min, &max);
-    EXPECT_EQ(0, min);
-    EXPECT_EQ(1, max);
-
-    // Derivative has one root < 0 and one root > 1.
-    bezier.reset(new UnitBezier(0.25, 0.1, 0.75, 0.9));
-    bezier->range(&min, &max);
-    EXPECT_EQ(0, min);
-    EXPECT_EQ(1, max);
-
-    // Derivative has two roots in [0,1].
-    bezier.reset(new UnitBezier(0.25, 2.5, 0.75, 0.5));
-    bezier->range(&min, &max);
-    EXPECT_EQ(0, min);
-    EXPECT_NEAR(max, 1.28818, epsilon);
-    bezier.reset(new UnitBezier(0.25, 0.5, 0.75, -1.5));
-    bezier->range(&min, &max);
-    EXPECT_NEAR(min, -0.28818, epsilon);
-    EXPECT_EQ(1, max);
-
-    // Derivative has one root < 0 and one root in [0,1].
-    bezier.reset(new UnitBezier(0.25, 0.1, 0.75, 1.5));
-    bezier->range(&min, &max);
-    EXPECT_EQ(0, min);
-    EXPECT_NEAR(max, 1.10755, epsilon);
-
-    // Derivative has one root in [0,1] and one root > 1.
-    bezier.reset(new UnitBezier(0.25, -0.5, 0.75, 0.9));
-    bezier->range(&min, &max);
-    EXPECT_NEAR(min, -0.10755, epsilon);
-    EXPECT_EQ(1, max);
-
-    // Derivative has two roots < 0.
-    bezier.reset(new UnitBezier(0.25, 0.3, 0.75, 0.633));
-    bezier->range(&min, &max);
-    EXPECT_EQ(0, min);
-    EXPECT_EQ(1, max);
-
-    // Derivative has two roots > 1.
-    bezier.reset(new UnitBezier(0.25, 0.367, 0.75, 0.7));
-    bezier->range(&min, &max);
-    EXPECT_EQ(0.f, min);
-    EXPECT_EQ(1.f, max);
-}
-
-TEST(UnitBezierTest, Slope)
-{
-    UnitBezier bezier(0.25, 0.0, 0.75, 1.0);
-
-    double epsilon = 0.00015;
-
-    EXPECT_NEAR(bezier.slope(0), 0, epsilon);
-    EXPECT_NEAR(bezier.slope(0.05), 0.42170, epsilon);
-    EXPECT_NEAR(bezier.slope(0.1), 0.69778, epsilon);
-    EXPECT_NEAR(bezier.slope(0.15), 0.89121, epsilon);
-    EXPECT_NEAR(bezier.slope(0.2), 1.03184, epsilon);
-    EXPECT_NEAR(bezier.slope(0.25), 1.13576, epsilon);
-    EXPECT_NEAR(bezier.slope(0.3), 1.21239, epsilon);
-    EXPECT_NEAR(bezier.slope(0.35), 1.26751, epsilon);
-    EXPECT_NEAR(bezier.slope(0.4), 1.30474, epsilon);
-    EXPECT_NEAR(bezier.slope(0.45), 1.32628, epsilon);
-    EXPECT_NEAR(bezier.slope(0.5), 1.33333, epsilon);
-    EXPECT_NEAR(bezier.slope(0.55), 1.32628, epsilon);
-    EXPECT_NEAR(bezier.slope(0.6), 1.30474, epsilon);
-    EXPECT_NEAR(bezier.slope(0.65), 1.26751, epsilon);
-    EXPECT_NEAR(bezier.slope(0.7), 1.21239, epsilon);
-    EXPECT_NEAR(bezier.slope(0.75), 1.13576, epsilon);
-    EXPECT_NEAR(bezier.slope(0.8), 1.03184, epsilon);
-    EXPECT_NEAR(bezier.slope(0.85), 0.89121, epsilon);
-    EXPECT_NEAR(bezier.slope(0.9), 0.69778, epsilon);
-    EXPECT_NEAR(bezier.slope(0.95), 0.42170, epsilon);
-    EXPECT_NEAR(bezier.slope(1), 0, epsilon);
-}
-
-} // namespace blink