【html5】缓动函数在动画中的应用

缓动类型：

• 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

• 超过范围的三次方缓动（(s+1)t^3 – st^2）

• 指数衰减的反弹缓动

每种类型都有三种缓动方式：

• easeIn：先慢后快

• easeOut：先快后慢

• easeInOut：先慢后快然后再慢

这里给出缓动函数速查表

封装的缓动函数：

//Tween.js
//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）。
//you can visit 'http://easings.net/zh-cn' to get effect

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) {
            var s;
            if (t==0) return b;
            if ((t /= d) == 1) return b + c;
            if (typeof p == "undefined") p = d * .3;
            if (!a || a < Math.abs(c)) {
                s = p / 4;
                a = c;
            } 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;
        },
        easeOut: function(t, b, c, d, a, p) {
            var s;
            if (t==0) return b;
            if ((t /= d) == 1) return b + c;
            if (typeof p == "undefined") p = d * .3;
            if (!a || 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);
        },
        easeInOut: function(t, b, c, d, a, p) {
            var s;
            if (t==0) return b;
            if ((t /= d / 2) == 2) return b+c;
            if (typeof p == "undefined") p = d * (.3 * 1.5);
            if (!a || 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;
        }
    },
    Back: {
        easeIn: function(t, b, c, d, s) {
            if (typeof s == "undefined") s = 1.70158;
            return c * (t /= d) * t * ((s + 1) * t - s) + b;
        },
        easeOut: function(t, b, c, d, s) {
            if (typeof 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 (typeof 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;
            }
        }
    }
}
Math.tween = Tween;

使用它们，具体的方法在这里：http://www.zhangxinxu.com/wordpress/?p=3695

funFall = function() {
    var start = 0, during = 100;
    var _run = function() {
         start++;
         var top = Tween.Bounce.easeOut(start, objBall.top, 500 - objBall.top, during);
         ball.css("top", top);
         if (start < during) requestAnimationFrame(_run);
    };
    _run();
};

参考：
CSS3动画那么强，requestAnimationFrame还有毛线用？

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