/************************************************************************ * Easings.js ************************************************************************ * Copyright (c) 2021 Pedro Tonini Rosenberg Schneider. * * This file is part of Pandora. * * Pandora is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * Pandora is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with Pandora. If not, see . *************************************************************************/ /* * * Derived from Robert Penner's easing equations: http://robertpenner.com/easing/ * The original copyright notice is as follows: * * TERMS OF USE - EASING EQUATIONS * * Open source under the BSD License. * * Copyright © 2001 Robert Penner * All rights reserved. * * Redistribution and use in source and binary forms, with or without modification, * are permitted provided that the following conditions are met: * * Redistributions of source code must retain the above copyright notice, this list of * conditions and the following disclaimer. * 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. * * Neither the name of the author nor the names of contributors may be used to endorse * or promote products derived from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND 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 THE * COPYRIGHT OWNER OR 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. * */ const Easings = { // See https://easings.net/ for more details on each type of easing. // t: current time, b: begInnIng value, c: change In value, d: duration. Linear: { ease: function(t, b, c, d) { return b + (c * t / d); } }, Quad: { easeIn: function(t, b, c, d) { return c * (t /= d) * t + b; }, easeOut: function(t, b, c, d) { return -c * (t /= d) * (t - 2) + b; }, easeInOut: function(t, b, c, d) { if ((t /= d / 2) < 1) return c / 2 * t * t + b; return -c / 2 * ((--t) * (t - 2) - 1) + b; } }, Cubic: { easeIn: function(t, b, c, d) { return c * (t /= d) * t * t + b; }, easeOut: function(t, b, c, d) { return c * ((t = t / d - 1) * t * t + 1) + b; }, easeInOut: function(t, b, c, d) { if ((t /= d / 2) < 1) return c / 2 * t * t * t + b; return c / 2 * ((t -= 2) * t * t + 2) + b; } }, Quart: { easeIn: function(t, b, c, d) { return c * (t /= d) * t * t * t + b; }, easeOut: function(t, b, c, d) { return -c * ((t = t / d - 1) * t * t * t - 1) + b; }, easeInOut: function(t, b, c, d) { if ((t /= d / 2) < 1) return c / 2 * t * t * t * t + b; return -c / 2 * ((t -= 2) * t * t * t - 2) + b; } }, Quint: { easeIn: function(t, b, c, d) { return c * (t /= d) * t * t * t * t + b; }, easeOut: function(t, b, c, d) { return c * ((t = t / d - 1) * t * t * t * t + 1) + b; }, easeInOut: function(t, b, c, d) { if ((t /= d / 2) < 1) return c / 2 * t * t * t * t * t + b; return c / 2 * ((t -= 2) * t * t * t * t + 2) + b; } }, Sine: { easeIn: function(t, b, c, d) { return -c * Math.cos(t / d * (Math.PI / 2)) + c + b; }, easeOut: function(t, b, c, d) { return c * Math.sin(t / d * (Math.PI / 2)) + b; }, easeInOut: function(t, b, c, d) { return -c / 2 * (Math.cos(Math.PI * t / d) - 1) + b; } }, Expo: { easeIn: function(t, b, c, d) { return (t == 0) ? b : c * Math.pow(2, 10 * (t / d - 1)) + b; }, easeOut: function(t, b, c, d) { return (t == d) ? b + c : c * (-Math.pow(2, -10 * t / d) + 1) + b; }, easeInOut: function(t, b, c, d) { if (t == 0) return b; if (t == d) return b + c; if ((t /= d / 2) < 1) return c / 2 * Math.pow(2, 10 * (t - 1)) + b; return c / 2 * (-Math.pow(2, -10 * --t) + 2) + b; } }, Circ: { easeIn: function(t, b, c, d) { return -c * (Math.sqrt(1 - (t /= d) * t) - 1) + b; }, easeOut: function(t, b, c, d) { return c * Math.sqrt(1 - (t = t / d - 1) * t) + b; }, easeInOut: function(t, b, c, d) { if ((t /= d / 2) < 1) return -c / 2 * (Math.sqrt(1 - t * t) - 1) + b; return c / 2 * (Math.sqrt(1 - (t -= 2) * t) + 1) + b; } }, Elastic: { easeIn: function(t, b, c, d) { var s = 1.70158; var p = 0; var a = c; if (t == 0) return b; if ((t /= d) == 1) return b + c; if (!p) p = d * .3; if (a < Math.abs(c)) { a = c; var s = p / 4; } else var s = p / (2 * Math.PI) * Math.asin(c / a); return -(a * Math.pow(2, 10 * (t -= 1)) * Math.sin((t * d - s) * (2 * Math.PI) / p)) + b; }, easeOut: function(t, b, c, d) { var s = 1.70158; var p = 0; var a = c; if (t == 0) return b; if ((t /= d) == 1) return b + c; if (!p) p = d * .3; if (a < Math.abs(c)) { a = c; var s = p / 4; } else var s = p / (2 * Math.PI) * Math.asin(c / a); return a * Math.pow(2, -10 * t) * Math.sin((t * d - s) * (2 * Math.PI) / p) + c + b; }, easeInOut: function(t, b, c, d) { var s = 1.70158; var p = 0; var a = c; if (t == 0) return b; if ((t /= d / 2) == 2) return b + c; if (!p) p = d * (.3 * 1.5); if (a < Math.abs(c)) { a = c; var s = p / 4; } else var s = p / (2 * Math.PI) * Math.asin(c / a); if (t < 1) return -.5 * (a * Math.pow(2, 10 * (t -= 1)) * Math.sin((t * d - s) * (2 * Math.PI) / p)) + b; return a * Math.pow(2, -10 * (t -= 1)) * Math.sin((t * d - s) * (2 * Math.PI) / p) * .5 + c + b; }, }, Back: { easeIn: function(t, b, c, d, s) { if (s == undefined) s = 1.70158; return c * (t /= d) * t * ((s + 1) * t - s) + b; }, easeOut: function(t, b, c, d, s) { if (s == undefined) s = 1.70158; return c * ((t = t / d - 1) * t * ((s + 1) * t + s) + 1) + b; }, easeInOut: function(t, b, c, d, s) { if (s == undefined) s = 1.70158; if ((t /= d / 2) < 1) return c / 2 * (t * t * (((s *= (1.525)) + 1) * t - s)) + b; return c / 2 * ((t -= 2) * t * (((s *= (1.525)) + 1) * t + s) + 2) + b; } }, Bounce: { easeIn: function(t, b, c, d) { return c - Easings.Bounce.easeOut(d - t, 0, c, d) + b; }, easeOut: function(t, b, c, d) { if ((t /= d) < (1 / 2.75)) return c * (7.5625 * t * t) + b; else if (t < (2 / 2.75)) return c * (7.5625 * (t -= (1.5 / 2.75)) * t + .75) + b; else if (t < (2.5 / 2.75)) return c * (7.5625 * (t -= (2.25 / 2.75)) * t + .9375) + b; else return c * (7.5625 * (t -= (2.625 / 2.75)) * t + .984375) + b; }, easeInOut: function(t, b, c, d) { if (t < d / 2) return Easings.Bounce.easeIn(t * 2, 0, c, d) * .5 + b; return Easings.Bounce.easeOut(t * 2 - d, 0, c, d) * .5 + c * .5 + b; } }, }