Easings: Rewrote all easings to only rely on state and reduce code size. Fixes #8115 - Easings: Simplify equations to only rely on state.

(cherry picked from commit c0093b599fcd58b6ad122ab425c4cc1a4da4a520)

Conflicts:

	ui/jquery.effects.core.js

2 files changed, 53 insertions, 213 deletions

diff --git a/demos/effect/easing.html b/demos/effect/easing.html
index c97535c0b..610e30208 100644
--- a/demos/effect/easing.html
+++ b/demos/effect/easing.html
@@ -15,10 +15,9 @@
 	</style>
 	<script>
 	$(function() {
-		if ( !$( "<canvas/>" )[0].getContext ) {
-			$( "<div/>" ).text(
-				"Your browser doesn't support canvas, which is required for this demo. " +
-				"Give Firefox 3 a try!"
+		if ( !$( "<canvas>" )[0].getContext ) {
+			$( "<div>" ).text(
+				"Your browser doesn't support canvas, which is required for this demo."
 			).appendTo( "#graphs" );
 			return;
 		}
@@ -26,15 +25,13 @@
 		var i = 0,
 			width = 100,
 			height = 100;
+
 		$.each( $.easing, function( name, impl ) {
-			// skip linear/jswing and any non functioning implementation
-			if ( !$.isFunction( impl ) || /jswing/.test( name ) ) {
-				return;
-			}
-			var graph = $( "<div/>" ).addClass( "graph" ).appendTo( "#graphs" ),
-				text = $( "<div/>" ).text( ++i + ". " + name ).appendTo( graph ),
-				wrap = $( "<div/>" ).appendTo( graph ).css( 'overflow', 'hidden' ),
-				canvas = $( "<canvas/>" ).appendTo( wrap )[ 0 ];
+			var graph = $( "<div>" ).addClass( "graph" ).appendTo( "#graphs" ),
+				text = $( "<div>" ).text( ++i + ". " + name ).appendTo( graph ),
+				wrap = $( "<div>" ).appendTo( graph ).css( 'overflow', 'hidden' ),
+				canvas = $( "<canvas>" ).appendTo( wrap )[ 0 ];
+
 			canvas.width = width;
 			canvas.height = height;
 			var drawHeight = height * 0.8,
@@ -42,6 +39,7 @@
 				ctx = canvas.getContext( "2d" );
 			ctx.fillStyle = "black";
 
+			// draw background
 			ctx.beginPath();
 			ctx.moveTo( cradius, 0 );
 			ctx.quadraticCurveTo( 0, 0, 0, cradius );
@@ -53,31 +51,34 @@
 			ctx.lineTo( cradius, 0 );
 			ctx.fill();
 
+			// draw bottom line
 			ctx.strokeStyle = "#555";
 			ctx.beginPath();
 			ctx.moveTo( width * 0.1, drawHeight + .5 );
 			ctx.lineTo( width * 0.9, drawHeight + .5 );
 			ctx.stroke();
 
+			// draw top line
 			ctx.strokeStyle = "#555";
 			ctx.beginPath();
 			ctx.moveTo( width * 0.1, drawHeight * .3 - .5 );
 			ctx.lineTo( width * 0.9, drawHeight * .3 - .5 );
 			ctx.stroke();
-			
+
+			// plot easing
 			ctx.strokeStyle = "white";
 			ctx.beginPath();
 			ctx.lineWidth = 2;
 			ctx.moveTo( width * 0.1, drawHeight );
 			$.each( new Array( width ), function( position ) {
-				var val = impl( 0, position, 0, 1, height );
-				if ( /linear|jswing/.test( name ) ) {
-					val = position / width;
-				}
+				var state = position / width,
+					val = impl( state, position, 0, 1, width );
 				ctx.lineTo( position * 0.8 + width * 0.1,
 					drawHeight - drawHeight * val * 0.7 );
 			});
 			ctx.stroke();
+
+			// animate on click
 			graph.click(function() {
 				wrap
 					.animate( { height: "hide" }, 2000, name )
diff --git a/ui/jquery.effects.core.js b/ui/jquery.effects.core.js
index 82bc4d8d3..77a23c9ca 100644
--- a/ui/jquery.effects.core.js
+++ b/ui/jquery.effects.core.js
@@ -564,210 +564,49 @@ $.fn.extend({
 /*********************************** EASING ***********************************/
 /******************************************************************************/
 
-/*
- * jQuery Easing v1.3 - http://gsgd.co.uk/sandbox/jquery/easing/
- *
- * Uses the built in easing capabilities added In jQuery 1.1
- * to offer multiple easing options
- *
- * TERMS OF USE - jQuery Easing
- *
- * Open source under the BSD License.
- *
- * Copyright 2008 George McGinley Smith
- * 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.
- *
-*/
+// based on easing equations from Robert Penner (http://www.robertpenner.com/easing)
 
-// t: current time, b: begInnIng value, c: change In value, d: duration
-$.easing.jswing = $.easing.swing;
+var baseEasings = {};
 
-$.extend($.easing,
-{
-	def: 'easeOutQuad',
-	swing: function (x, t, b, c, d) {
-		//alert($.easing.default);
-		return $.easing[$.easing.def](x, t, b, c, d);
-	},
-	easeInQuad: function (x, t, b, c, d) {
-		return c*(t/=d)*t + b;
-	},
-	easeOutQuad: function (x, t, b, c, d) {
-		return -c *(t/=d)*(t-2) + b;
-	},
-	easeInOutQuad: function (x, t, b, c, d) {
-		if ((t/=d/2) < 1) return c/2*t*t + b;
-		return -c/2 * ((--t)*(t-2) - 1) + b;
-	},
-	easeInCubic: function (x, t, b, c, d) {
-		return c*(t/=d)*t*t + b;
-	},
-	easeOutCubic: function (x, t, b, c, d) {
-		return c*((t=t/d-1)*t*t + 1) + b;
-	},
-	easeInOutCubic: function (x, 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;
-	},
-	easeInQuart: function (x, t, b, c, d) {
-		return c*(t/=d)*t*t*t + b;
-	},
-	easeOutQuart: function (x, t, b, c, d) {
-		return -c * ((t=t/d-1)*t*t*t - 1) + b;
-	},
-	easeInOutQuart: function (x, 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;
-	},
-	easeInQuint: function (x, t, b, c, d) {
-		return c*(t/=d)*t*t*t*t + b;
-	},
-	easeOutQuint: function (x, t, b, c, d) {
-		return c*((t=t/d-1)*t*t*t*t + 1) + b;
-	},
-	easeInOutQuint: function (x, 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;
-	},
-	easeInSine: function (x, t, b, c, d) {
-		return -c * Math.cos(t/d * (Math.PI/2)) + c + b;
-	},
-	easeOutSine: function (x, t, b, c, d) {
-		return c * Math.sin(t/d * (Math.PI/2)) + b;
-	},
-	easeInOutSine: function (x, t, b, c, d) {
-		return -c/2 * (Math.cos(Math.PI*t/d) - 1) + b;
-	},
-	easeInExpo: function (x, t, b, c, d) {
-		return (t==0) ? b : c * Math.pow(2, 10 * (t/d - 1)) + b;
-	},
-	easeOutExpo: function (x, t, b, c, d) {
-		return (t==d) ? b+c : c * (-Math.pow(2, -10 * t/d) + 1) + b;
-	},
-	easeInOutExpo: function (x, 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;
-	},
-	easeInCirc: function (x, t, b, c, d) {
-		return -c * (Math.sqrt(1 - (t/=d)*t) - 1) + b;
-	},
-	easeOutCirc: function (x, t, b, c, d) {
-		return c * Math.sqrt(1 - (t=t/d-1)*t) + b;
-	},
-	easeInOutCirc: function (x, 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;
-	},
-	easeInElastic: function (x, 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;
-	},
-	easeOutElastic: function (x, 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;
-	},
-	easeInOutElastic: function (x, 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;
-	},
-	easeInBack: function (x, t, b, c, d, s) {
-		if (s == undefined) s = 1.70158;
-		return c*(t/=d)*t*((s+1)*t - s) + b;
-	},
-	easeOutBack: function (x, t, b, c, d, s) {
-		if (s == undefined) s = 1.70158;
-		return c*((t=t/d-1)*t*((s+1)*t + s) + 1) + b;
+$.each( [ "Quad", "Cubic", "Quart", "Quint", "Expo" ], function( i, name ) {
+	baseEasings[ name ] = function( p ) {
+		return Math.pow( p, i + 2 );
+	};
+});
+
+$.extend( baseEasings, {
+	Sine: function ( p ) {
+		return 1 - Math.cos( p * Math.PI / 2 );
 	},
-	easeInOutBack: function (x, 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;
+	Circ: function ( p ) {
+		return 1 - Math.sqrt( 1 - p * p );
 	},
-	easeInBounce: function (x, t, b, c, d) {
-		return c - $.easing.easeOutBounce (x, d-t, 0, c, d) + b;
+	Elastic: function( p ) {
+		return p === 0 || p === 1 ? p :
+			-Math.pow( 2, 8 * (p - 1) ) * Math.sin( ( (p - 1) * 80 - 7.5 ) * Math.PI / 15 );
 	},
-	easeOutBounce: function (x, 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;
-		}
+	Back: function( p ) {
+		return p * p * ( 3 * p - 2 );
 	},
-	easeInOutBounce: function (x, t, b, c, d) {
-		if (t < d/2) return $.easing.easeInBounce (x, t*2, 0, c, d) * .5 + b;
-		return $.easing.easeOutBounce (x, t*2-d, 0, c, d) * .5 + c*.5 + b;
+	Bounce: function ( p ) {
+		var pow2,
+			bounce = 4;
+
+		while ( p < ( ( pow2 = Math.pow( 2, --bounce ) ) - 1 ) / 11 ) {}
+		return 1 / Math.pow( 4, 3 - bounce ) - 7.5625 * Math.pow( ( pow2 * 3 - 2 ) / 22 - p, 2 );
 	}
 });
 
-/*
- *
- * 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.
- *
- */
+$.each( baseEasings, function( name, easeIn ) {
+	$.easing[ "easeIn" + name ] = easeIn;
+	$.easing[ "easeOut" + name ] = function( p ) {
+		return 1 - easeIn( 1 - p );
+	};
+	$.easing[ "easeInOut" + name ] = function( p ) {
+		return p < .5 ?
+			easeIn( p * 2 ) / 2 :
+			easeIn( p * -2 + 2 ) / -2 + 1;
+	};
+});
 
 })(jQuery);