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+/************************************************************************
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+ * Easings.js
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+ ************************************************************************
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+ * Copyright (c) 2021 Pedro Tonini Rosenberg Schneider.
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+ *
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+ * This file is part of Pandora.
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+ *
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+ * Pandora is free software: you can redistribute it and/or modify
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+ * it under the terms of the GNU General Public License as published by
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+ * the Free Software Foundation, either version 3 of the License, or
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+ * (at your option) any later version.
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+ *
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+ * Pandora is distributed in the hope that it will be useful,
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+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
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+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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+ * GNU General Public License for more details.
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+ *
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+ * You should have received a copy of the GNU General Public License
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+ * along with Pandora. If not, see <https://www.gnu.org/licenses/>.
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+ *************************************************************************/
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+
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+/*
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+ *
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+ * Derived from Robert Penner's easing equations: http://robertpenner.com/easing/
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+ * The original copyright notice is as follows:
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+ *
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+ * TERMS OF USE - EASING EQUATIONS
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+ *
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+ * Open source under the BSD License.
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+ *
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+ * Copyright © 2001 Robert Penner
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+ * All rights reserved.
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+ *
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+ * Redistribution and use in source and binary forms, with or without modification,
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+ * are permitted provided that the following conditions are met:
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+ *
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+ * Redistributions of source code must retain the above copyright notice, this list of
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+ * conditions and the following disclaimer.
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+ * Redistributions in binary form must reproduce the above copyright notice, this list
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+ * of conditions and the following disclaimer in the documentation and/or other materials
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+ * provided with the distribution.
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+ *
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+ * Neither the name of the author nor the names of contributors may be used to endorse
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+ * or promote products derived from this software without specific prior written permission.
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+ *
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+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
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+ * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
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+ * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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+ * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
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+ * GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
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+ * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
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+ * OF THE POSSIBILITY OF SUCH DAMAGE.
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+ *
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+ */
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+
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+const Easings = {
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+ // See https://easings.net/ for more details on each type of easing.
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+ // t: current time, b: begInnIng value, c: change In value, d: duration.
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+
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+ Linear:
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+ {
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+ ease: function(x, t, b, c, d)
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+ {
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+ return b + (c * t / d);
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+ }
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+ },
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+
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+ Quad:
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+ {
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+ easeIn: function(x, t, b, c, d)
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+ {
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+ return c * (t /= d) * t + b;
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+ },
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+ easeOut: function(x, t, b, c, d)
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+ {
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+ return -c * (t /= d) * (t - 2) + b;
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+ },
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+ easeInOut: function(x, t, b, c, d)
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+ {
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+ if ((t /= d / 2) < 1) return c / 2 * t * t + b;
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+ return -c / 2 * ((--t) * (t - 2) - 1) + b;
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+ }
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+ },
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+
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+ Cubic:
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+ {
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+ easeIn: function(x, t, b, c, d)
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+ {
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+ return c * (t /= d) * t * t + b;
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+ },
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+ easeOut: function(x, t, b, c, d)
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+ {
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+ return c * ((t = t / d - 1) * t * t + 1) + b;
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+ },
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+ easeInOut: function(x, t, b, c, d)
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+ {
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+ if ((t /= d / 2) < 1) return c / 2 * t * t * t + b;
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+ return c / 2 * ((t -= 2) * t * t + 2) + b;
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+ }
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+ },
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+
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+ Quart:
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+ {
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+ easeIn: function(x, t, b, c, d)
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+ {
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+ return c * (t /= d) * t * t * t + b;
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+ },
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+ easeOut: function(x, t, b, c, d)
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+ {
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+ return -c * ((t = t / d - 1) * t * t * t - 1) + b;
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+ },
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+ easeInOut: function(x, t, b, c, d)
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+ {
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+ if ((t /= d / 2) < 1) return c / 2 * t * t * t * t + b;
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+ return -c / 2 * ((t -= 2) * t * t * t - 2) + b;
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+ }
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+ },
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+
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+ Quint:
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+ {
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+ easeIn: function(x, t, b, c, d)
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+ {
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+ return c * (t /= d) * t * t * t * t + b;
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+ },
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+ easeOut: function(x, t, b, c, d)
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+ {
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+ return c * ((t = t / d - 1) * t * t * t * t + 1) + b;
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+ },
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+ easeInOut: function(x, t, b, c, d)
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+ {
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+ if ((t /= d / 2) < 1) return c / 2 * t * t * t * t * t + b;
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+ return c / 2 * ((t -= 2) * t * t * t * t + 2) + b;
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+ }
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+ },
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+
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+ Sine:
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+ {
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+ easeIn: function(x, t, b, c, d)
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+ {
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+ return -c * Math.cos(t / d * (Math.PI / 2)) + c + b;
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+ },
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+ easeOut: function(x, t, b, c, d)
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+ {
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+ return c * Math.sin(t / d * (Math.PI / 2)) + b;
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+ },
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+ easeInOut: function(x, t, b, c, d)
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+ {
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+ return -c / 2 * (Math.cos(Math.PI * t / d) - 1) + b;
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+ }
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+ },
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+
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+ Expo:
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+ {
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+ easeIn: function(x, t, b, c, d)
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+ {
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+ return (t == 0) ? b : c * Math.pow(2, 10 * (t / d - 1)) + b;
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+ },
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+ easeOut: function(x, t, b, c, d)
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+ {
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+ return (t == d) ? b + c : c * (-Math.pow(2, -10 * t / d) + 1) + b;
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+ },
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+ easeInOut: function(x, t, b, c, d)
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+ {
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+ if (t == 0) return b;
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+ if (t == d) return b + c;
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+ if ((t /= d / 2) < 1) return c / 2 * Math.pow(2, 10 * (t - 1)) + b;
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+ return c / 2 * (-Math.pow(2, -10 * --t) + 2) + b;
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+ }
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+ },
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+
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+ Circ:
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+ {
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+ easeIn: function(x, t, b, c, d)
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+ {
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+ return -c * (Math.sqrt(1 - (t /= d) * t) - 1) + b;
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+ },
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+ easeOut: function(x, t, b, c, d)
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+ {
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+ return c * Math.sqrt(1 - (t = t / d - 1) * t) + b;
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+ },
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+ easeInOut: function(x, t, b, c, d)
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+ {
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+ if ((t /= d / 2) < 1) return -c / 2 * (Math.sqrt(1 - t * t) - 1) + b;
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+ return c / 2 * (Math.sqrt(1 - (t -= 2) * t) + 1) + b;
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+ }
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+ },
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+
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+ Elastic:
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+ {
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+ easeIn: function(x, t, b, c, d)
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+ {
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+ var s = 1.70158;
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+ var p = 0;
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+ var a = c;
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+ if (t == 0) return b;
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+ if ((t /= d) == 1) return b + c;
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+ if (!p) p = d * .3;
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+ if (a < Math.abs(c))
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+ {
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+ a = c;
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+ var s = p / 4;
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+ }
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+ else var s = p / (2 * Math.PI) * Math.asin(c / a);
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+ return -(a * Math.pow(2, 10 * (t -= 1)) * Math.sin((t * d - s) * (2 * Math.PI) / p)) + b;
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+ },
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+ easeOut: function(x, t, b, c, d)
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+ {
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+ var s = 1.70158;
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+ var p = 0;
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+ var a = c;
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+ if (t == 0) return b;
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+ if ((t /= d) == 1) return b + c;
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+ if (!p) p = d * .3;
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+ if (a < Math.abs(c))
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+ {
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+ a = c;
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+ var s = p / 4;
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+ }
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+ else var s = p / (2 * Math.PI) * Math.asin(c / a);
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+ return a * Math.pow(2, -10 * t) * Math.sin((t * d - s) * (2 * Math.PI) / p) + c + b;
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+ },
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+ easeInOut: function(x, t, b, c, d)
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+ {
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+ var s = 1.70158;
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+ var p = 0;
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+ var a = c;
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+ if (t == 0) return b;
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+ if ((t /= d / 2) == 2) return b + c;
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+ if (!p) p = d * (.3 * 1.5);
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+ if (a < Math.abs(c))
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+ {
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+ a = c;
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+ var s = p / 4;
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+ }
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+ else var s = p / (2 * Math.PI) * Math.asin(c / a);
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+ if (t < 1) return -.5 * (a * Math.pow(2, 10 * (t -= 1)) * Math.sin((t * d - s) * (2 * Math.PI) / p)) + b;
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+ return a * Math.pow(2, -10 * (t -= 1)) * Math.sin((t * d - s) * (2 * Math.PI) / p) * .5 + c + b;
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+ },
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+ },
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+
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+ Back:
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+ {
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+ easeIn: function(x, t, b, c, d, s)
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+ {
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+ if (s == undefined) s = 1.70158;
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+ return c * (t /= d) * t * ((s + 1) * t - s) + b;
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+ },
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+ easeOut: function(x, t, b, c, d, s)
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+ {
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+ if (s == undefined) s = 1.70158;
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+ return c * ((t = t / d - 1) * t * ((s + 1) * t + s) + 1) + b;
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+ },
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+ easeInOut: function(x, t, b, c, d, s)
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+ {
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+ if (s == undefined) s = 1.70158;
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+ if ((t /= d / 2) < 1) return c / 2 * (t * t * (((s *= (1.525)) + 1) * t - s)) + b;
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+ return c / 2 * ((t -= 2) * t * (((s *= (1.525)) + 1) * t + s) + 2) + b;
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+ }
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+ },
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+
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+ Bounce:
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+ {
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+ easeIn: function(x, t, b, c, d)
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+ {
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+ return c - Easings.Bounce.easeOut(x, d - t, 0, c, d) + b;
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+ },
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+ easeOut: function(x, t, b, c, d)
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+ {
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+ if ((t /= d) < (1 / 2.75))
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+ return c * (7.5625 * t * t) + b;
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+ else if (t < (2 / 2.75))
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+ return c * (7.5625 * (t -= (1.5 / 2.75)) * t + .75) + b;
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+ else if (t < (2.5 / 2.75))
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+ return c * (7.5625 * (t -= (2.25 / 2.75)) * t + .9375) + b;
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+ else
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+ return c * (7.5625 * (t -= (2.625 / 2.75)) * t + .984375) + b;
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+ },
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+ easeInOut: function(x, t, b, c, d)
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+ {
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+ if (t < d / 2) return Easings.Bounce.easeIn(x, t * 2, 0, c, d) * .5 + b;
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+ return Easings.Bounce.easeOut(x, t * 2 - d, 0, c, d) * .5 + c * .5 + b;
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+ }
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+ },
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+}
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Pedro Schneider