/* eslint-disable */ const BezierFactory = (function () { /** * BezierEasing - use bezier curve for transition easing function * by Gaëtan Renaudeau 2014 - 2015 – MIT License * * Credits: is based on Firefox's nsSMILKeySpline.cpp * Usage: * var spline = BezierEasing([ 0.25, 0.1, 0.25, 1.0 ]) * spline.get(x) => returns the easing value | x must be in [0, 1] range * */ var ob = {}; ob.getBezierEasing = getBezierEasing; var beziers = {}; function getBezierEasing(a, b, c, d, nm) { var str = nm || ('bez_' + a + '_' + b + '_' + c + '_' + d).replace(/\./g, 'p'); if (beziers[str]) { return beziers[str]; } var bezEasing = new BezierEasing([a, b, c, d]); beziers[str] = bezEasing; return bezEasing; } // These values are established by empiricism with tests (tradeoff: performance VS precision) var NEWTON_ITERATIONS = 4; var NEWTON_MIN_SLOPE = 0.001; var SUBDIVISION_PRECISION = 0.0000001; var SUBDIVISION_MAX_ITERATIONS = 10; var kSplineTableSize = 11; var kSampleStepSize = 1.0 / (kSplineTableSize - 1.0); var float32ArraySupported = typeof Float32Array === 'function'; function A(aA1, aA2) { return 1.0 - 3.0 * aA2 + 3.0 * aA1; } function B(aA1, aA2) { return 3.0 * aA2 - 6.0 * aA1; } function C(aA1) { return 3.0 * aA1; } // Returns x(t) given t, x1, and x2, or y(t) given t, y1, and y2. function calcBezier(aT, aA1, aA2) { return ((A(aA1, aA2) * aT + B(aA1, aA2)) * aT + C(aA1)) * aT; } // Returns dx/dt given t, x1, and x2, or dy/dt given t, y1, and y2. function getSlope(aT, aA1, aA2) { return 3.0 * A(aA1, aA2) * aT * aT + 2.0 * B(aA1, aA2) * aT + C(aA1); } function binarySubdivide(aX, aA, aB, mX1, mX2) { var currentX, currentT, i = 0; do { currentT = aA + (aB - aA) / 2.0; currentX = calcBezier(currentT, mX1, mX2) - aX; if (currentX > 0.0) { aB = currentT; } else { aA = currentT; } } while (Math.abs(currentX) > SUBDIVISION_PRECISION && ++i < SUBDIVISION_MAX_ITERATIONS); return currentT; } function newtonRaphsonIterate(aX, aGuessT, mX1, mX2) { for (var i = 0; i < NEWTON_ITERATIONS; ++i) { var currentSlope = getSlope(aGuessT, mX1, mX2); if (currentSlope === 0.0) return aGuessT; var currentX = calcBezier(aGuessT, mX1, mX2) - aX; aGuessT -= currentX / currentSlope; } return aGuessT; } /** * points is an array of [ mX1, mY1, mX2, mY2 ] */ function BezierEasing(points) { this._p = points; this._mSampleValues = float32ArraySupported ? new Float32Array(kSplineTableSize) : new Array(kSplineTableSize); this._precomputed = false; this.get = this.get.bind(this); } BezierEasing.prototype = { get: function (x) { var mX1 = this._p[0], mY1 = this._p[1], mX2 = this._p[2], mY2 = this._p[3]; if (!this._precomputed) this._precompute(); if (mX1 === mY1 && mX2 === mY2) return x; // linear // Because JavaScript number are imprecise, we should guarantee the extremes are right. if (x === 0) return 0; if (x === 1) return 1; return calcBezier(this._getTForX(x), mY1, mY2); }, // Private part _precompute: function () { var mX1 = this._p[0], mY1 = this._p[1], mX2 = this._p[2], mY2 = this._p[3]; this._precomputed = true; if (mX1 !== mY1 || mX2 !== mY2) { this._calcSampleValues(); } }, _calcSampleValues: function () { var mX1 = this._p[0], mX2 = this._p[2]; for (var i = 0; i < kSplineTableSize; ++i) { this._mSampleValues[i] = calcBezier(i * kSampleStepSize, mX1, mX2); } }, /** * getTForX chose the fastest heuristic to determine the percentage value precisely from a given X projection. */ _getTForX: function (aX) { var mX1 = this._p[0], mX2 = this._p[2], mSampleValues = this._mSampleValues; var intervalStart = 0.0; var currentSample = 1; var lastSample = kSplineTableSize - 1; for (; currentSample !== lastSample && mSampleValues[currentSample] <= aX; ++currentSample) { intervalStart += kSampleStepSize; } --currentSample; // Interpolate to provide an initial guess for t var dist = (aX - mSampleValues[currentSample]) / (mSampleValues[currentSample + 1] - mSampleValues[currentSample]); var guessForT = intervalStart + dist * kSampleStepSize; var initialSlope = getSlope(guessForT, mX1, mX2); if (initialSlope >= NEWTON_MIN_SLOPE) { return newtonRaphsonIterate(aX, guessForT, mX1, mX2); } if (initialSlope === 0.0) { return guessForT; } return binarySubdivide(aX, intervalStart, intervalStart + kSampleStepSize, mX1, mX2); }, }; return ob; }()); export default BezierFactory;