业务场景
最近业务中遇到了一个点赞需求，就很常见的那种直播点赞，设计上要求点赞气泡随机沿着弧线运动路径向上飞，简单点可以把关键帧动画硬编码，但是我感觉那么做不是很完美，就想到了用贝塞尔曲线来实现这个功能
贝塞尔算法
贝塞尔曲线知识就不科普了，我也不咋懂，一般也就用二阶或者三阶贝塞尔，直接上代码，也可以使用现成库
TS
const bezier = {/*** @desc 二阶贝塞尔* @param {number} t 当前百分比（0～1）* @param {Array} p1 起点坐标* @param {Array} cp 控制点* @param {Array} p2 终点坐标*/quad(t, p1, cp, p2) {const [x1, y1] = p1;const [cx, cy] = cp;const [x2, y2] = p2;const x = Math.pow(1 - t, 2) * x1 + 2 * (1 - t) * t * cx + Math.pow(t, 2) * x2;const y = Math.pow(1 - t, 2) * y1 + 2 * (1 - t) * t * cy + Math.pow(t, 2) * y2;return [x, y];},/*** @desc 三阶贝塞尔* @param {number} t 当前百分比（0～1）* @param {Array} p1 起点坐标* @param {Array} cp1 控制点1* @param {Array} cp2 控制点2* @param {Array} p2 终点坐标*/cubic(t, p1, cp1, cp2, p2) {const [x1, y1] = p1;const [x2, y2] = p2;const [cx1, cy1] = cp1;const [cx2, cy2] = cp2;const x =Math.pow(1 - t, 3) * x1 +3 * Math.pow(1 - t, 2) * t * cx1 +3 * (1 - t) * Math.pow(t, 2) * cx2 +Math.pow(t, 3) * x2;const y =Math.pow(1 - t, 3) * y1 +3 * Math.pow(1 - t, 2) * t * cy1 +3 * (1 - t) * Math.pow(t, 2) * cy2 +Math.pow(t, 3) * y2;return [x, y];},};
先写个 demo 测试一下算法
用 canvas 测试一下上边的算法是否可用，贝塞尔函数中的参数 t 可以理解为进度（0 ～ 1），所以曲线精度完全取决于每次的 t 值间隔
Code Playground
<canvas></canvas><script>const bezier = {/*** @desc 二阶贝塞尔* @param {number} t 当前百分比（0～1）* @param {Array} p1 起点坐标* @param {Array} cp 控制点* @param {Array} p2 终点坐标*/quad(t, p1, cp, p2) {const [x1, y1] = p1;const [cx, cy] = cp;const [x2, y2] = p2;const x = Math.pow(1 - t, 2) * x1 + 2 * (1 - t) * t * cx + Math.pow(t, 2) * x2;const y = Math.pow(1 - t, 2) * y1 + 2 * (1 - t) * t * cy + Math.pow(t, 2) * y2;return [x, y];},/*** @desc 三阶贝塞尔* @param {number} t 当前百分比（0～1）* @param {Array} p1 起点坐标* @param {Array} cp1 控制点1* @param {Array} cp2 控制点2* @param {Array} p2 终点坐标*/cubic(t, p1, cp1, cp2, p2) {const [x1, y1] = p1;const [x2, y2] = p2;const [cx1, cy1] = cp1;const [cx2, cy2] = cp2;const x =Math.pow(1 - t, 3) * x1 +3 * Math.pow(1 - t, 2) * t * cx1 +3 * (1 - t) * Math.pow(t, 2) * cx2 +Math.pow(t, 3) * x2;const y =Math.pow(1 - t, 3) * y1 +3 * Math.pow(1 - t, 2) * t * cy1 +3 * (1 - t) * Math.pow(t, 2) * cy2 +Math.pow(t, 3) * y2;return [x, y];},};</script><script>const canvas = document.querySelector('canvas');canvas.width = 400;canvas.height = 400;const ctx = canvas.getContext('2d');const startPoint = [200, 400];const endPoint = [200, 0];const controlPoint = [300, 200];ctx.beginPath();ctx.moveTo(startPoint[0], startPoint[1]);// i 每次增加的越小，精度越高for (let i = 0; i < 1; i += 0.1) {const [x, y] = bezier.quad(i, startPoint, controlPoint, endPoint);ctx.lineTo(x, y);}ctx.stroke();</script>
玩点炫的（情人节限定版）
这里为了方便我使用了 Web Animations API，贝塞尔曲线只是个算法，你完全可以使用任何你想要的方式调用它
Code Playground
<!DOCTYPE html><html lang="en"><head><meta charset="UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Document</title></head><body><style>.container {position: relative;width: 500px;height: 600px;overflow: hidden;}.like-pic {position: absolute;bottom: 50px;left: calc((500px - 30px) / 2);}</style><div class="container"></div><script>const bezier = {/*** @desc 二阶贝塞尔* @param {number} t 当前百分比（0～1）* @param {Array} p1 起点坐标* @param {Array} cp 控制点* @param {Array} p2 终点坐标*/quad(t, p1, cp, p2) {const [x1, y1] = p1;const [cx, cy] = cp;const [x2, y2] = p2;const x = Math.pow(1 - t, 2) * x1 + 2 * (1 - t) * t * cx + Math.pow(t, 2) * x2;const y = Math.pow(1 - t, 2) * y1 + 2 * (1 - t) * t * cy + Math.pow(t, 2) * y2;return [x, y];},/*** @desc 三阶贝塞尔* @param {number} t 当前百分比（0～1）* @param {Array} p1 起点坐标* @param {Array} cp1 控制点1* @param {Array} cp2 控制点2* @param {Array} p2 终点坐标*/cubic(t, p1, cp1, cp2, p2) {const [x1, y1] = p1;const [x2, y2] = p2;const [cx1, cy1] = cp1;const [cx2, cy2] = cp2;const x = Math.pow(1 - t, 3) * x1 + 3 * Math.pow(1 - t, 2) * t * cx1 + 3 * (1 - t) * Math.pow(t, 2) * cx2 + Math.pow(t, 3) * x2;const y = Math.pow(1 - t, 3) * y1 + 3 * Math.pow(1 - t, 2) * t * cy1 + 3 * (1 - t) * Math.pow(t, 2) * cy2 + Math.pow(t, 3) * y2;return [x, y];},};function sample (arr){return arr[Math.floor(Math.random() * arr.length)];}</script><script>const container = document.querySelector('.container');function like() {const el = document.createElement('IMG');el.onload = () => container.append(el);el.classList.add('like-pic');el.src = 'data:image/svg+xml;base64,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';const startPoint = [0, 0]const endPoint = [0, -300]const [controlPoint1, controlPoint2] = sample([[[-450, -400], [0, -400]],[[450, -400], [0, -400]],])const keyframes = [{ offset: 0 }]for(let i = 0; i<1; i+=0.05) {const [x, y] = bezier.cubic(i, startPoint, controlPoint1, controlPoint2, endPoint)keyframes.push({ offset: i, transform: `translate(${x}px, ${y}px)` })}keyframes.push({ offset: 1, opacity: 0, transform: `translate(${endPoint[0]}px, ${endPoint[1]}px)` })setTimeout(() => el.remove(), 3500)el.animate(keyframes, {easing: 'cubic-bezier(0.33, 1, 0.68, 1)', duration: 3500})}setInterval(() => {like();}, 100);</script></body></html>
以上 demo 都可以实时编辑