Tween中用到的缓动算法

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动画效果分类
  • Linear:无缓动效果;
  • Quadratic:二次方的缓动(t^2);
  • Cubic:三次方的缓动(t^3);
  • Quartic:四次方的缓动(t^4);
  • Quintic:五次方的缓动(t^5);
  • Sinusoidal:正弦曲线的缓动(sin(t));
  • Exponential:指数曲线的缓动(2^t);
  • Circular:圆形曲线的缓动(sqrt(1-t^2));
  • Elastic:指数衰减的正弦曲线缓动;
  • Back:超过范围的三次方缓动((s+1)*t^3 - s*t^2);
  • Bounce:指数衰减的反弹缓动。

每个效果都分三个缓动方式(方法),分别是:

  • easeIn:从0开始加速的缓动;
  • easeOut:减速到0的缓动;
  • easeInOut:前半段从0开始加速,后半段减速到0的缓动。

四个参数分别是:

  • t:current time(当前时间);
  • b:beginning value(初始值);
  • c: change in value(变化量);
  • d:duration(持续时间)。


</pre><pre name="code" class="html"><!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 rTweennsitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-rTweennsitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><title> TweenDemo </title><meta http-equiv="Content-Type" content="text/html; charset=utf-8"><style>.cont {margin-left:50px;}#scroll {width:500px; height:50px; border:1px solid #800000; position:relative}#scroller {width:50px; height:50px; background-color:#006600; position:absolute}.oper { margin-left:50px; margin-top:10px;}.next {margin-top:50px; width:500px; height:200px; border:1px solid #800000; position:relative}#chart {position:absolute; height:200px;}#line {position:absolute;left:0; top:0; height:200px; width:2px; background-color:#006600; display:none; }</style></head><body><div class="cont"><div id="scroll"><div id="scroller"></div></div><div class="next"><div id="chart"></div><div id="line"></div></div></div><div class="oper">Tween类型<p><label><input type="radio" name="rTween" value="Linear" checked/>Linear</label><label><input type="radio" name="rTween" value="Quad" />Quad</label><label><input type="radio" name="rTween" value="Cubic" />Cubic</label><label><input type="radio" name="rTween" value="Quart" />Quart</label><label><input type="radio" name="rTween" value="Quint" />Quint</label><br/><label><input type="radio" name="rTween" value="Sine" />Sine</label><label><input type="radio" name="rTween" value="Expo" />Expo</label><label><input type="radio" name="rTween" value="Circ" />Circ</label><label><input type="radio" name="rTween" value="Elastic" />Elastic</label><label><input type="radio" name="rTween" value="Back" />Back</label><label><input type="radio" name="rTween" value="Bounce" />Bounce</label></p>Ease类型<p><label><input type="radio" name="rEase" value="easeIn" checked/>easeIn</label><label><input type="radio" name="rEase" value="easeOut" />easeOut</label><label><input type="radio" name="rEase" value="easeInOut" />easeInOut</label></p><input type="button" value="Run" style="width:60px;height:28px;" id="run" /></div><script>// Tween类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;}}};function T$(i) { return document.getElementById(i); }function T$$(i) { return document.getElementsByName(i); }function Each(arr, fn) {for (var i = 0, len = arr.length; i < len; i++) {fn(arr[i], i, arr);}}Tween.demo = function() {var change = 500, duration = 100, timer = null;var rTween = 'Linear', rEase = 'easeIn';var ss = T$('scroller'), sl = T$('line'), sc = T$('chart'), rTweens = T$$('rTween'), rEases = T$$('rEase');;return {init: function() {this.setMethod();this.drawChart();this.events();},events: function() {var self = this;Each(rTweens, function(item) { item.onclick = function() {rTween = this.value;self.setMethod();self.drawChart();}});Each(rEases, function(item) {item.onclick = function() {rEase = this.value;self.setMethod();self.drawChart();}});T$('run').onclick = function() {self.scroller();self.drawChart();}},setMethod: function() {fx = rTween == 'Linear' ? Tween[rTween] : Tween[rTween][rEase];},scroller: function() {clearTimeout(timer);var time = 0, begin = 0;sl.style.display = 'block';function run() {ss.style.left = Math.ceil(fx(time, begin, change - 50, duration)) + 'px';sl.style.left = Math.ceil(Tween.Linear(time, begin, change, duration)) + 'px';if (time < duration) { time++; timer = setTimeout(run, 10);} else {time = duration;sl.style.display = 'none';clearTimeout(timer);}}run();},drawChart: function() {var arr = [];for (var i = 0; i <= change; i++) {arr.push('<div style="width:2px;height:2px;font-size:0;background-color:#006600;position:absolute;left:'+(i - 1)+'px;top:'+(Math.ceil(fx(i, 200, -200, change)))+'px"><\/div>');}sc.innerHTML = arr.join('');}}}();Tween.demo.init();</script></body></html>






// Tween类
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;
        }
    }
};
 
function T$(i) { return document.getElementById(i); }
function T$$(i) { return document.getElementsByName(i); }
function Each(arr, fn) {
    for (var i = 0, len = arr.length; i < len; i++) {
        fn(arr[i], i, arr);
    }
}
Tween.demo = function() {
    var change = 500, duration = 100, timer = null;
    var rTween = 'Linear', rEase = 'easeIn';
    var ss = T$('scroller'), sl = T$('line'), sc = T$('chart'), rTweens = T$$('rTween'), rEases = T$$('rEase');;
    return {
        init:function() {
            this.setMethod();
            this.drawChart();
            this.events();
        },
 
        events:function() {
            var self = this;
            Each(rTweens,function(item) {
                item.onclick = function() {
                    rTween = this.value;
                    self.setMethod();
                    self.drawChart();
                }
            });
            Each(rEases,function(item) {
                item.onclick = function() {
                    rEase = this.value;
                    self.setMethod();
                    self.drawChart();
                }
            });
             
            T$('run').onclick = function() {
                self.scroller();
                self.drawChart();
            }
        },
 
        setMethod:function() {
            fx = rTween == 'Linear' ? Tween[rTween] : Tween[rTween][rEase];
        },
 
        scroller:function() {
            clearTimeout(timer);
            var time = 0, begin = 0;
            sl.style.display = 'block';
            function run() {
                ss.style.left = Math.ceil(fx(time, begin, change - 50, duration)) + 'px';
                sl.style.left = Math.ceil(Tween.Linear(time, begin, change, duration)) + 'px';
                if (time < duration) {
                    time++;
                    timer = setTimeout(run, 10);   
                }else {
                    time = duration;
                    sl.style.display = 'none';
                    clearTimeout(timer);
                }
            }
            run();
        },
 
        drawChart:function() {
            var arr = [];
            for (var i = 0; i <= change; i++) {
                arr.push('<div style="width:2px;height:2px;font-size:0;background-color:#006600;position:absolute;left:'+(i - 1)+'px;top:'+(Math.ceil(fx(i, 200, -200, change)))+'px"><\/div>');
            }
            sc.innerHTML = arr.join('');
        }
    }
}();
 
Tween.demo.init();
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