動畫曲線 EaseIn | EaseOut |EaseInOut 數學模型分析

NO IMAGE
 

  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演算法程式碼 : 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型別: <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型別: <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="減慢速度" />
<input id="idRun" type="button" value=" Run " />
</div>
<script>
/*
演算法來源: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 = "減慢速度";
}
}
</script>
</body>
</html>

演算法分析 : 

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