JavaScript Tween算法及缓动效果

在阅读Ant Design BackTop
代码时候看到tween算法,以前一直没有深入看看,这里稍微研究下

const easeInOutCubic = (t: number, b: number, c: number, d: number) => {
  const cc = c - b;
  t /= d / 2;
  if (t < 1) {
    return (cc / 2) * t * t * t + b;
  } else {
    return (cc / 2) * ((t -= 2) * t * t + 2) + b;
  }
};

图片描述

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 - st^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。

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;
        }
    }
}

参考

Tween效果
http://www.cnblogs.com/cloudg...
https://github.com/zhangxinxu...
https://www.zhangxinxu.com/st...
如何使用Tween.js各类原生动画运动缓动算法

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