/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */ /* vim: set ts=8 sts=2 et sw=2 tw=80: */ /* This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ #ifndef NS_SMILKEYSPLINE_H_ #define NS_SMILKEYSPLINE_H_ #include "mozilla/ArrayUtils.h" #include "mozilla/PodOperations.h" namespace mozilla { /** * Utility class to provide scaling defined in a keySplines element. */ class SMILKeySpline { public: SMILKeySpline() : mX1(0), mY1(0), mX2(0), mY2(0) { /* caller must call Init later */\ } /** * Creates a new key spline control point description. * * aX1, etc. are the x1, y1, x2, y2 cubic Bezier control points as defined * by SMILANIM 3.2.3. They must each be in the range 0.0 <= x <= 1.0 */ SMILKeySpline(double aX1, double aY1, double aX2, double aY2) : mX1(0), mY1(0), mX2(0), mY2(0) { Init(aX1, aY1, aX2, aY2); } double X1() const { return mX1; } double Y1() const { return mY1; } double X2() const { return mX2; } double Y2() const { return mY2; } void Init(double aX1, double aY1, double aX2, double aY2); /** * Gets the output (y) value for an input (x). * * @param aX The input x value. A floating-point number between 0 and * 1 (inclusive). */ double GetSplineValue(double aX) const; void GetSplineDerivativeValues(double aX, double& aDX, double& aDY) const; bool operator==(const SMILKeySpline& aOther) const { return mX1 == aOther.mX1 && mY1 == aOther.mY1 && mX2 == aOther.mX2 && mY2 == aOther.mY2; } bool operator!=(const SMILKeySpline& aOther) const { return !(*this == aOther); } int32_t Compare(const SMILKeySpline& aRhs) const { if (mX1 != aRhs.mX1) return mX1 < aRhs.mX1 ? -1 : 1; if (mY1 != aRhs.mY1) return mY1 < aRhs.mY1 ? -1 : 1; if (mX2 != aRhs.mX2) return mX2 < aRhs.mX2 ? -1 : 1; if (mY2 != aRhs.mY2) return mY2 < aRhs.mY2 ? -1 : 1; return 0; } private: void CalcSampleValues(); /** * Returns x(t) given t, x1, and x2, or y(t) given t, y1, and y2. */ static double CalcBezier(double aT, double aA1, double aA2); /** * Returns dx/dt given t, x1, and x2, or dy/dt given t, y1, and y2. */ static double GetSlope(double aT, double aA1, double aA2); double GetTForX(double aX) const; double NewtonRaphsonIterate(double aX, double aGuessT) const; double BinarySubdivide(double aX, double aA, double aB) const; static double A(double aA1, double aA2) { return 1.0 - 3.0 * aA2 + 3.0 * aA1; } static double B(double aA1, double aA2) { return 3.0 * aA2 - 6.0 * aA1; } static double C(double aA1) { return 3.0 * aA1; } double mX1; double mY1; double mX2; double mY2; enum { kSplineTableSize = 11 }; double mSampleValues[kSplineTableSize]; static const double kSampleStepSize; }; } // namespace mozilla #endif // NS_SMILKEYSPLINE_H_