/*
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This file is part of Ext JS 4.2
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Copyright (c) 2011-2013 Sencha Inc
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Contact: http://www.sencha.com/contact
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GNU General Public License Usage
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This file may be used under the terms of the GNU General Public License version 3.0 as
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published by the Free Software Foundation and appearing in the file LICENSE included in the
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packaging of this file.
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Please review the following information to ensure the GNU General Public License version 3.0
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requirements will be met: http://www.gnu.org/copyleft/gpl.html.
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If you are unsure which license is appropriate for your use, please contact the sales department
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at http://www.sencha.com/contact.
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Build date: 2013-05-16 14:36:50 (f9be68accb407158ba2b1be2c226a6ce1f649314)
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*/
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/**
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* @private
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*/
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Ext.define('Ext.fx.CubicBezier', {
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/* Begin Definitions */
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singleton: true,
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/* End Definitions */
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cubicBezierAtTime: function(t, p1x, p1y, p2x, p2y, duration) {
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var cx = 3 * p1x,
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bx = 3 * (p2x - p1x) - cx,
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ax = 1 - cx - bx,
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cy = 3 * p1y,
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by = 3 * (p2y - p1y) - cy,
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ay = 1 - cy - by;
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function sampleCurveX(t) {
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return ((ax * t + bx) * t + cx) * t;
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}
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function solve(x, epsilon) {
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var t = solveCurveX(x, epsilon);
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return ((ay * t + by) * t + cy) * t;
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}
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function solveCurveX(x, epsilon) {
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var t0, t1, t2, x2, d2, i;
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for (t2 = x, i = 0; i < 8; i++) {
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x2 = sampleCurveX(t2) - x;
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if (Math.abs(x2) < epsilon) {
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return t2;
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}
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d2 = (3 * ax * t2 + 2 * bx) * t2 + cx;
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if (Math.abs(d2) < 1e-6) {
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break;
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}
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t2 = t2 - x2 / d2;
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}
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t0 = 0;
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t1 = 1;
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t2 = x;
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if (t2 < t0) {
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return t0;
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}
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if (t2 > t1) {
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return t1;
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}
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while (t0 < t1) {
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x2 = sampleCurveX(t2);
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if (Math.abs(x2 - x) < epsilon) {
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return t2;
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}
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if (x > x2) {
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t0 = t2;
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} else {
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t1 = t2;
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}
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t2 = (t1 - t0) / 2 + t0;
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}
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return t2;
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}
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return solve(t, 1 / (200 * duration));
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},
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cubicBezier: function(x1, y1, x2, y2) {
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var fn = function(pos) {
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return Ext.fx.CubicBezier.cubicBezierAtTime(pos, x1, y1, x2, y2, 1);
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};
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fn.toCSS3 = function() {
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return 'cubic-bezier(' + [x1, y1, x2, y2].join(',') + ')';
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};
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fn.reverse = function() {
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return Ext.fx.CubicBezier.cubicBezier(1 - x2, 1 - y2, 1 - x1, 1 - y1);
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};
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return fn;
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}
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});
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