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author | Lorry Tar Creator <lorry-tar-importer@lorry> | 2017-06-27 06:07:23 +0000 |
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committer | Lorry Tar Creator <lorry-tar-importer@lorry> | 2017-06-27 06:07:23 +0000 |
commit | 1bf1084f2b10c3b47fd1a588d85d21ed0eb41d0c (patch) | |
tree | 46dcd36c86e7fbc6e5df36deb463b33e9967a6f7 /Source/WebCore/page/scrolling/ScrollingMomentumCalculator.cpp | |
parent | 32761a6cee1d0dee366b885b7b9c777e67885688 (diff) | |
download | WebKitGtk-tarball-master.tar.gz |
webkitgtk-2.16.5HEADwebkitgtk-2.16.5master
Diffstat (limited to 'Source/WebCore/page/scrolling/ScrollingMomentumCalculator.cpp')
-rw-r--r-- | Source/WebCore/page/scrolling/ScrollingMomentumCalculator.cpp | 235 |
1 files changed, 235 insertions, 0 deletions
diff --git a/Source/WebCore/page/scrolling/ScrollingMomentumCalculator.cpp b/Source/WebCore/page/scrolling/ScrollingMomentumCalculator.cpp new file mode 100644 index 000000000..1fa5674a2 --- /dev/null +++ b/Source/WebCore/page/scrolling/ScrollingMomentumCalculator.cpp @@ -0,0 +1,235 @@ +/* + * Copyright (C) 2016 Apple 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 "config.h" +#include "ScrollingMomentumCalculator.h" + +#include "FloatPoint.h" +#include "FloatSize.h" + +namespace WebCore { + +static const Seconds scrollSnapAnimationDuration = 1_s; +static inline float projectedInertialScrollDistance(float initialWheelDelta) +{ + // On macOS 10.10 and earlier, we don't have a platform scrolling momentum calculator, so we instead approximate the scroll destination + // by multiplying the initial wheel delta by a constant factor. By running a few experiments (i.e. logging scroll destination and initial + // wheel delta for many scroll gestures) we determined that this is a reasonable way to approximate where scrolling will take us without + // using _NSScrollingMomentumCalculator. + const static double inertialScrollPredictionFactor = 16.7; + return inertialScrollPredictionFactor * initialWheelDelta; +} + +ScrollingMomentumCalculator::ScrollingMomentumCalculator(const FloatSize& viewportSize, const FloatSize& contentSize, const FloatPoint& initialOffset, const FloatSize& initialDelta, const FloatSize& initialVelocity) + : m_initialDelta(initialDelta) + , m_initialVelocity(initialVelocity) + , m_initialScrollOffset(initialOffset.x(), initialOffset.y()) + , m_viewportSize(viewportSize) + , m_contentSize(contentSize) +{ +} + +void ScrollingMomentumCalculator::setRetargetedScrollOffset(const FloatSize& target) +{ + if (m_retargetedScrollOffset && m_retargetedScrollOffset == target) + return; + + m_retargetedScrollOffset = target; + retargetedScrollOffsetDidChange(); +} + +FloatSize ScrollingMomentumCalculator::predictedDestinationOffset() +{ + float initialOffsetX = clampTo<float>(m_initialScrollOffset.width() + projectedInertialScrollDistance(m_initialDelta.width()), 0, m_contentSize.width() - m_viewportSize.width()); + float initialOffsetY = clampTo<float>(m_initialScrollOffset.height() + projectedInertialScrollDistance(m_initialDelta.height()), 0, m_contentSize.height() - m_viewportSize.height()); + return { initialOffsetX, initialOffsetY }; +} + +#if !HAVE(NSSCROLLING_FILTERS) + +std::unique_ptr<ScrollingMomentumCalculator> ScrollingMomentumCalculator::create(const FloatSize& viewportSize, const FloatSize& contentSize, const FloatPoint& initialOffset, const FloatSize& initialDelta, const FloatSize& initialVelocity) +{ + return std::make_unique<BasicScrollingMomentumCalculator>(viewportSize, contentSize, initialOffset, initialDelta, initialVelocity); +} + +void ScrollingMomentumCalculator::setPlatformMomentumScrollingPredictionEnabled(bool) +{ +} + +#endif + +BasicScrollingMomentumCalculator::BasicScrollingMomentumCalculator(const FloatSize& viewportSize, const FloatSize& contentSize, const FloatPoint& initialOffset, const FloatSize& initialDelta, const FloatSize& initialVelocity) + : ScrollingMomentumCalculator(viewportSize, contentSize, initialOffset, initialDelta, initialVelocity) +{ +} + +FloatSize BasicScrollingMomentumCalculator::linearlyInterpolatedOffsetAtProgress(float progress) +{ + return m_initialScrollOffset + progress * (retargetedScrollOffset() - m_initialScrollOffset); +} + +FloatSize BasicScrollingMomentumCalculator::cubicallyInterpolatedOffsetAtProgress(float progress) const +{ + ASSERT(!m_forceLinearAnimationCurve); + FloatSize interpolatedPoint; + for (int i = 0; i < 4; ++i) + interpolatedPoint += std::pow(progress, i) * m_snapAnimationCurveCoefficients[i]; + + return interpolatedPoint; +} + +FloatPoint BasicScrollingMomentumCalculator::scrollOffsetAfterElapsedTime(Seconds elapsedTime) +{ + if (m_momentumCalculatorRequiresInitialization) { + initializeSnapProgressCurve(); + initializeInterpolationCoefficientsIfNecessary(); + m_momentumCalculatorRequiresInitialization = false; + } + + float progress = animationProgressAfterElapsedTime(elapsedTime); + auto offsetAsSize = m_forceLinearAnimationCurve ? linearlyInterpolatedOffsetAtProgress(progress) : cubicallyInterpolatedOffsetAtProgress(progress); + return FloatPoint(offsetAsSize.width(), offsetAsSize.height()); +} + +Seconds BasicScrollingMomentumCalculator::animationDuration() +{ + return scrollSnapAnimationDuration; +} + +/** + * Computes and sets coefficients required for interpolated snapping when scrolling in 2 dimensions, given + * initial conditions (the initial and target vectors, along with the initial wheel delta as a vector). The + * path is a cubic Bezier curve of the form p(s) = INITIAL + (C_1 * s) + (C_2 * s^2) + (C_3 * s^3) where each + * C_i is a 2D vector and INITIAL is the vector representing the initial scroll offset. s is a real in the + * interval [0, 1] indicating the "progress" of the curve (i.e. how much of the curve has been traveled). + * + * The curve has 4 control points, the first and last of which are the initial and target points, respectively. + * The distances between adjacent control points are constrained to be the same, making the convex hull an + * isosceles trapezoid with 3 sides of equal length. Additionally, the vector from the first control point to + * the second points in the same direction as the initial scroll delta. These constraints ensure two properties: + * 1. The direction of the snap animation at s=0 will be equal to the direction of the initial scroll delta. + * 2. Points at regular intervals of s will be evenly spread out. + * + * If the initial scroll direction is orthogonal to or points in the opposite direction as the vector from the + * initial point to the target point, initialization returns early and sets the curve to animate directly to the + * snap point without cubic interpolation. + * + * FIXME: This should be refactored to use UnitBezier. + */ +void BasicScrollingMomentumCalculator::initializeInterpolationCoefficientsIfNecessary() +{ + m_forceLinearAnimationCurve = true; + float initialDeltaMagnitude = m_initialDelta.diagonalLength(); + if (initialDeltaMagnitude < 1) { + // The initial wheel delta is so insignificant that we're better off considering this to have the same effect as finishing a scroll gesture with no momentum. + // Thus, cubic interpolation isn't needed here. + return; + } + + FloatSize startToEndVector = retargetedScrollOffset() - m_initialScrollOffset; + float startToEndDistance = startToEndVector.diagonalLength(); + if (!startToEndDistance) { + // The start and end positions are the same, so we shouldn't try to interpolate a path. + return; + } + + float cosTheta = (m_initialDelta.width() * startToEndVector.width() + m_initialDelta.height() * startToEndVector.height()) / (initialDeltaMagnitude * startToEndDistance); + if (cosTheta <= 0) { + // It's possible that the user is not scrolling towards the target snap offset (for instance, scrolling against a corner when 2D scroll snapping). + // In this case, just let the scroll offset animate to the target without computing a cubic curve. + return; + } + + float sideLength = startToEndDistance / (2.0f * cosTheta + 1.0f); + FloatSize controlVector1 = m_initialScrollOffset + sideLength * m_initialDelta / initialDeltaMagnitude; + FloatSize controlVector2 = controlVector1 + (sideLength * startToEndVector / startToEndDistance); + m_snapAnimationCurveCoefficients[0] = m_initialScrollOffset; + m_snapAnimationCurveCoefficients[1] = 3 * (controlVector1 - m_initialScrollOffset); + m_snapAnimationCurveCoefficients[2] = 3 * (m_initialScrollOffset - 2 * controlVector1 + controlVector2); + m_snapAnimationCurveCoefficients[3] = 3 * (controlVector1 - controlVector2) - m_initialScrollOffset + retargetedScrollOffset(); + m_forceLinearAnimationCurve = false; +} + +static const float framesPerSecond = 60.0f; + +/** + * Computes and sets parameters required for tracking the progress of a snap animation curve, interpolated + * or linear. The progress curve s(t) maps time t to progress s; both variables are in the interval [0, 1]. + * The time input t is 0 when the current time is the start of the animation, t = 0, and 1 when the current + * time is at or after the end of the animation, t = m_scrollSnapAnimationDuration. + * + * In this exponential progress model, s(t) = A - A * b^(-kt), where k = 60T is the number of frames in the + * animation (assuming 60 FPS and an animation duration of T) and A, b are reals greater than or equal to 1. + * Also note that we are given the initial progress, a value indicating the portion of the curve which our + * initial scroll delta takes us. This is important when matching the initial speed of the animation to the + * user's initial momentum scrolling speed. Let this initial progress amount equal v_0. I clamp this initial + * progress amount to a minimum or maximum value. + * + * A is referred to as the curve magnitude, while b is referred to as the decay factor. We solve for A and b, + * keeping the following constraints in mind: + * 1. s(0) = 0 + * 2. s(1) = 1 + * 3. s(1/k) = v_0 + * + * First, observe that s(0) = 0 holds for appropriate values of A, b. Solving for the remaining constraints + * yields a nonlinear system of two equations. In lieu of a purely analytical solution, an alternating + * optimization scheme is used to approximate A and b. This technique converges quickly (within 5 iterations + * or so) for appropriate values of v_0. The optimization terminates early when the decay factor changes by + * less than a threshold between one iteration and the next. + */ +void BasicScrollingMomentumCalculator::initializeSnapProgressCurve() +{ + static const int maxNumScrollSnapParameterEstimationIterations = 10; + static const float scrollSnapDecayFactorConvergenceThreshold = 0.001; + static const float initialScrollSnapCurveMagnitude = 1.1; + static const float minScrollSnapInitialProgress = 0.1; + static const float maxScrollSnapInitialProgress = 0.5; + + FloatSize alignmentVector = m_initialDelta * (retargetedScrollOffset() - m_initialScrollOffset); + float initialProgress; + if (alignmentVector.width() + alignmentVector.height() > 0) + initialProgress = clampTo(m_initialDelta.diagonalLength() / (retargetedScrollOffset() - m_initialScrollOffset).diagonalLength(), minScrollSnapInitialProgress, maxScrollSnapInitialProgress); + else + initialProgress = minScrollSnapInitialProgress; + + float previousDecayFactor = 1.0f; + m_snapAnimationCurveMagnitude = initialScrollSnapCurveMagnitude; + for (int i = 0; i < maxNumScrollSnapParameterEstimationIterations; ++i) { + m_snapAnimationDecayFactor = m_snapAnimationCurveMagnitude / (m_snapAnimationCurveMagnitude - initialProgress); + m_snapAnimationCurveMagnitude = 1.0f / (1.0f - std::pow(m_snapAnimationDecayFactor, -framesPerSecond * scrollSnapAnimationDuration.value())); + if (std::abs(m_snapAnimationDecayFactor - previousDecayFactor) < scrollSnapDecayFactorConvergenceThreshold) + break; + + previousDecayFactor = m_snapAnimationDecayFactor; + } +} + +float BasicScrollingMomentumCalculator::animationProgressAfterElapsedTime(Seconds elapsedTime) const +{ + float timeProgress = clampTo<float>(elapsedTime / scrollSnapAnimationDuration, 0, 1); + return std::min(1.0, m_snapAnimationCurveMagnitude * (1.0 - std::pow(m_snapAnimationDecayFactor, -framesPerSecond * scrollSnapAnimationDuration.value() * timeProgress))); +} + +}; // namespace WebCore |