From c0093b599fcd58b6ad122ab425c4cc1a4da4a520 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Scott=20Gonz=C3=A1lez?= <scott.gonzalez@gmail.com>
Date: Sat, 11 Feb 2012 12:20:46 -0500
Subject: [PATCH] Easings: Rewrote all easings to only rely on state and reduce
 code size. Fixes #8115 - Easings: Simplify equations to only rely on state.

---
 demos/effect/easing.html  |  35 +++---
 ui/jquery.effects.core.js | 250 ++++++--------------------------------
 2 files changed, 53 insertions(+), 232 deletions(-)

diff --git a/demos/effect/easing.html b/demos/effect/easing.html
index e3270c070..f3e07a9c5 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 233b4f96d..68ed637e1 100644
--- a/ui/jquery.effects.core.js
+++ b/ui/jquery.effects.core.js
@@ -662,229 +662,49 @@ $.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 ) {
-		return $.easing[ $.easing.def ]( x, t, b, c, d );
+$.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 );
 	},
-	easeInQuad: function ( x, t, b, c, d ) {
-		return c * ( t /= d ) * t + b;
+	Circ: function ( p ) {
+		return 1 - Math.sqrt( 1 - p * p );
 	},
-	easeOutQuad: function ( x, t, b, c, d ) {
-		return -c * ( t /= d ) * ( t - 2 ) + 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 );
 	},
-	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;
+	Back: function( p ) {
+		return p * p * ( 3 * p - 2 );
 	},
-	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,
-			p = d * 0.3,
-			a = c;
-		if ( t == 0 ) return b;
-		if ( ( t /= d ) == 1 ) return b+c;
-		if ( a < Math.abs( c ) ) {
-			a = c;
-			s = p / 4;
-		} else {
-			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,
-			p = d * 0.3,
-			a = c;
-		if ( t == 0 ) return b;
-		if ( ( t /= d ) == 1 ) return b+c;
-		if ( a < Math.abs( c ) ) {
-			a = c;
-			s = p / 4;
-		} else {
-			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,
-			p = d * ( 0.3 * 1.5 ),
-			a = c;
-		if ( t == 0 ) return b;
-		if ( ( t /= d / 2 ) == 2 ) return b+c;
-		if ( a < Math.abs( c ) ) {
-			a = c;
-			s = p / 4;
-		} else {
-			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;
-	},
-	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;
-	},
-	easeInBounce: function ( x, t, b, c, d ) {
-		return c - $.easing.easeOutBounce( x, d - t, 0, c, d ) + b;
-	},
-	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;
-		}
-	},
-	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);