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- /**
- * 贝塞尔平滑曲线
- */
- import {
- min as v2Min,
- max as v2Max,
- scale as v2Scale,
- distance as v2Distance,
- add as v2Add,
- clone as v2Clone,
- sub as v2Sub,
- VectorArray
- } from '../../core/vector';
- /**
- * 贝塞尔平滑曲线
- * @param points 线段顶点数组
- * @param smooth 平滑等级, 0-1
- * @param isLoop
- * @param constraint 将计算出来的控制点约束在一个包围盒内
- * 比如 [[0, 0], [100, 100]], 这个包围盒会与
- * 整个折线的包围盒做一个并集用来约束控制点。
- * @param 计算出来的控制点数组
- */
- export default function smoothBezier(
- points: VectorArray[],
- smooth?: number,
- isLoop?: boolean,
- constraint?: VectorArray[]
- ) {
- const cps = [];
- const v: VectorArray = [];
- const v1: VectorArray = [];
- const v2: VectorArray = [];
- let prevPoint;
- let nextPoint;
- let min;
- let max;
- if (constraint) {
- min = [Infinity, Infinity];
- max = [-Infinity, -Infinity];
- for (let i = 0, len = points.length; i < len; i++) {
- v2Min(min, min, points[i]);
- v2Max(max, max, points[i]);
- }
- // 与指定的包围盒做并集
- v2Min(min, min, constraint[0]);
- v2Max(max, max, constraint[1]);
- }
- for (let i = 0, len = points.length; i < len; i++) {
- const point = points[i];
- if (isLoop) {
- prevPoint = points[i ? i - 1 : len - 1];
- nextPoint = points[(i + 1) % len];
- }
- else {
- if (i === 0 || i === len - 1) {
- cps.push(v2Clone(points[i]));
- continue;
- }
- else {
- prevPoint = points[i - 1];
- nextPoint = points[i + 1];
- }
- }
- v2Sub(v, nextPoint, prevPoint);
- // use degree to scale the handle length
- v2Scale(v, v, smooth);
- let d0 = v2Distance(point, prevPoint);
- let d1 = v2Distance(point, nextPoint);
- const sum = d0 + d1;
- if (sum !== 0) {
- d0 /= sum;
- d1 /= sum;
- }
- v2Scale(v1, v, -d0);
- v2Scale(v2, v, d1);
- const cp0 = v2Add([], point, v1);
- const cp1 = v2Add([], point, v2);
- if (constraint) {
- v2Max(cp0, cp0, min);
- v2Min(cp0, cp0, max);
- v2Max(cp1, cp1, min);
- v2Min(cp1, cp1, max);
- }
- cps.push(cp0);
- cps.push(cp1);
- }
- if (isLoop) {
- cps.push(cps.shift());
- }
- return cps;
- }
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