动画曲线 EaseIn | EaseOut |EaseInOut 数学模型分析

 
  1. #define pow2(x) ((x)*(x))
  2. #define pow3(x) ((x)*(x)*(x))
  3. // assuming :
  4. // t is a value between 0 and 1
  5. // b is an offset
  6. // c is the height
  7. public double easeIn (double t, double b, double c) {
  8.   return c*pow3(t) + b;
  9. }
  10. public double easeOut (double t, double b, double c) {
  11.   return c*(pow3(t-1) + 1) + b;
  12. }
  13. public double easeInOut (double t, double b, double c) {
  14. if ( (t*2) < 1)
  15.   return c/2*pow3(t*2) + b;
  16. else
  17.   return c/2*(pow3(t*2-2) + 2) + b;
  18. }


一套tween算法代码 : http://monw3c.blogbus.com/logs/57106239.html


<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=gb2312" />
<title>Tween</title>
</head>
<body>
<div style="padding-left:50px;">
  <div style="position:relative; border:1px solid #000000; width:550px; height:50px;">
    <div id="idMove" style="width:50px; height:50px; background:#930; position:absolute;"></div>
  </div>
  <div style="position:relative;width:550px;height:200px; margin-top:50px;">
    <div id="idChart" style="border:1px solid #000;height:200px;"> </div>
    <div id="idLine" style="position:absolute;top:0;left:0;height:200px;width:1px;background:#000;"></div>
  </div>
</div>
<div>
  <p> Tween类型: <br />
    <label>
      <input name="vTween" type="radio" value="Linear" checked="checked" />
      Linear </label>
    <label>
      <input name="vTween" type="radio" value="Quad" />
      Quadratic </label>
    <label>
      <input name="vTween" type="radio" value="Cubic" />
      Cubic </label>
    <label>
      <input name="vTween" type="radio" value="Quart" />
      Quartic </label>
    <label>
      <input name="vTween" type="radio" value="Quint" />
      Quintic </label>
    <label>
      <input name="vTween" type="radio" value="Sine" />
      Sinusoidal </label>
    <br />
    <label>
      <input name="vTween" type="radio" value="Expo" />
      Exponential </label>
    <label>
      <input name="vTween" type="radio" value="Circ" />
      Circular </label>
    <label>
      <input name="vTween" type="radio" value="Elastic" />
      Elastic </label>
    <label>
      <input name="vTween" type="radio" value="Back" />
      Back </label>
    <label>
      <input name="vTween" type="radio" value="Bounce" />
      Bounce </label>
  </p>
  <p> ease类型: <br />
    <label>
      <input name="vEase" type="radio" value="easeIn" checked="checked" />
      easeIn </label>
    <label>
      <input name="vEase" type="radio" value="easeOut" />
      easeOut </label>
    <label>
      <input name="vEase" type="radio" value="easeInOut" />
      easeInOut </label>
  </p>
  <input id="idSpeed" type="button" value="减慢速度" />
  <input id="idRun" type="button" value=" Run " />
</div>
<script>
/*
算法来源:http://www.robertpenner.com/easing/
*/
var Tween = {
	Linear: function(t,b,c,d){ return c*t/d + b; },
	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,a,p){
			if (t==0) return b;  if ((t/=d)==1) return b+c;  if (!p) p=d*.3;
			if (!a || 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,a,p){
			if (t==0) return b;  if ((t/=d)==1) return b+c;  if (!p) p=d*.3;
			if (!a || 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,a,p){
			if (t==0) return b;  if ((t/=d/2)==2) return b+c;  if (!p) p=d*(.3*1.5);
			if (!a || 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 - Tween.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 Tween.Bounce.easeIn(t*2, 0, c, d) * .5 + b;
			else return Tween.Bounce.easeOut(t*2-d, 0, c, d) * .5 + c*.5 + b;
		}
	}
}

//////////////////////////////////////////////////////////

var $ = function (id) {
	return "string" == typeof id ? document.getElementById(id) : id;
};

var Each = function(list, fun){
	for (var i = 0, len = list.length; i < len; i++) { fun(list[i], i); }
};

//////////////////////////////////////////////////////////

var fun, iChart = 550, iDuration = 100;

function Move(){
	var oM = $("idMove").style, oL = $("idLine").style, t=0, c=500, d=iDuration;
	oM.left=oL.left="0px"; clearTimeout(Move._t);
	function _run(){
		if(t<d){
			t++;
			oM.left = Math.ceil(fun(t,0,c,d)) + "px";
			oL.left = Math.ceil(Tween.Linear(t,0,iChart,d)) + "px";
			Move._t = setTimeout(_run, 10);
		}else{
			oM.left = c + "px";
			oL.left = iChart + "px";
		}
	}
	_run();
}

////////////////////////////////////////////////////////

function Chart(){
	var a = [];
	for (var i = 0; i < iChart; i++) {
		a.push('<div style="background-color:#f60;font-size:0;width:3px;height:3px;position:absolute;left:' + (i-1) + 'px;top:' + (Math.ceil(fun(i,200,-200,iChart))) + 'px;"><\/div>');
	}
	$("idChart").innerHTML = a.join("");
}

////////////////////////////////////////////////////////

var arrTween = document.getElementsByName("vTween");
var arrEase = document.getElementsByName("vEase");

Each(arrTween, function(o){ o.onclick = function(){ SetFun(); Chart(); } })
Each(arrEase, function(o){ o.onclick = function(){ SetFun(); Chart(); } })

function SetFun(){
	var sTween, sEase;
	Each(arrTween, function(o){ if(o.checked){ sTween = o.value; } })
	Each(arrEase, function(o){ if(o.checked){ sEase = o.value; } })
	fun = sTween == "Linear" ? Tween.Linear : Tween[sTween][sEase];
}

$("idRun").onclick = function(){ SetFun(); Chart(); Move(); }

$("idSpeed").onclick = function(){
	if(iDuration == 100){
		iDuration = 500; this.value = "加快速度";
	}else{
		iDuration = 100; this.value = "减慢速度";
	}
}
</script>
</body>
</html>

算法分析 : 

http://www.cnblogs.com/mrsunny/archive/2011/06/21/2086080.html




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