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- import { isArray } from 'lodash-es';
- import rectPath from './rect-path';
- import path2Curve from './path-2-curve';
- var base3 = function (t, p1, p2, p3, p4) {
- var t1 = -3 * p1 + 9 * p2 - 9 * p3 + 3 * p4;
- var t2 = t * t1 + 6 * p1 - 12 * p2 + 6 * p3;
- return t * t2 - 3 * p1 + 3 * p2;
- };
- var bezlen = function (x1, y1, x2, y2, x3, y3, x4, y4, z) {
- if (z === null) {
- z = 1;
- }
- z = z > 1 ? 1 : z < 0 ? 0 : z;
- var z2 = z / 2;
- var n = 12;
- var Tvalues = [
- -0.1252, 0.1252, -0.3678, 0.3678, -0.5873, 0.5873, -0.7699, 0.7699, -0.9041, 0.9041, -0.9816, 0.9816,
- ];
- var Cvalues = [0.2491, 0.2491, 0.2335, 0.2335, 0.2032, 0.2032, 0.1601, 0.1601, 0.1069, 0.1069, 0.0472, 0.0472];
- var sum = 0;
- for (var i = 0; i < n; i++) {
- var ct = z2 * Tvalues[i] + z2;
- var xbase = base3(ct, x1, x2, x3, x4);
- var ybase = base3(ct, y1, y2, y3, y4);
- var comb = xbase * xbase + ybase * ybase;
- sum += Cvalues[i] * Math.sqrt(comb);
- }
- return z2 * sum;
- };
- var curveDim = function (x0, y0, x1, y1, x2, y2, x3, y3) {
- var tvalues = [];
- var bounds = [[], []];
- var a;
- var b;
- var c;
- var t;
- for (var i = 0; i < 2; ++i) {
- if (i === 0) {
- b = 6 * x0 - 12 * x1 + 6 * x2;
- a = -3 * x0 + 9 * x1 - 9 * x2 + 3 * x3;
- c = 3 * x1 - 3 * x0;
- }
- else {
- b = 6 * y0 - 12 * y1 + 6 * y2;
- a = -3 * y0 + 9 * y1 - 9 * y2 + 3 * y3;
- c = 3 * y1 - 3 * y0;
- }
- if (Math.abs(a) < 1e-12) {
- if (Math.abs(b) < 1e-12) {
- continue;
- }
- t = -c / b;
- if (t > 0 && t < 1) {
- tvalues.push(t);
- }
- continue;
- }
- var b2ac = b * b - 4 * c * a;
- var sqrtb2ac = Math.sqrt(b2ac);
- if (b2ac < 0) {
- continue;
- }
- var t1 = (-b + sqrtb2ac) / (2 * a);
- if (t1 > 0 && t1 < 1) {
- tvalues.push(t1);
- }
- var t2 = (-b - sqrtb2ac) / (2 * a);
- if (t2 > 0 && t2 < 1) {
- tvalues.push(t2);
- }
- }
- var j = tvalues.length;
- var jlen = j;
- var mt;
- while (j--) {
- t = tvalues[j];
- mt = 1 - t;
- bounds[0][j] = mt * mt * mt * x0 + 3 * mt * mt * t * x1 + 3 * mt * t * t * x2 + t * t * t * x3;
- bounds[1][j] = mt * mt * mt * y0 + 3 * mt * mt * t * y1 + 3 * mt * t * t * y2 + t * t * t * y3;
- }
- bounds[0][jlen] = x0;
- bounds[1][jlen] = y0;
- bounds[0][jlen + 1] = x3;
- bounds[1][jlen + 1] = y3;
- bounds[0].length = bounds[1].length = jlen + 2;
- return {
- min: {
- x: Math.min.apply(0, bounds[0]),
- y: Math.min.apply(0, bounds[1]),
- },
- max: {
- x: Math.max.apply(0, bounds[0]),
- y: Math.max.apply(0, bounds[1]),
- },
- };
- };
- var intersect = function (x1, y1, x2, y2, x3, y3, x4, y4) {
- if (Math.max(x1, x2) < Math.min(x3, x4) ||
- Math.min(x1, x2) > Math.max(x3, x4) ||
- Math.max(y1, y2) < Math.min(y3, y4) ||
- Math.min(y1, y2) > Math.max(y3, y4)) {
- return;
- }
- var nx = (x1 * y2 - y1 * x2) * (x3 - x4) - (x1 - x2) * (x3 * y4 - y3 * x4);
- var ny = (x1 * y2 - y1 * x2) * (y3 - y4) - (y1 - y2) * (x3 * y4 - y3 * x4);
- var denominator = (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4);
- if (!denominator) {
- return;
- }
- var px = nx / denominator;
- var py = ny / denominator;
- var px2 = +px.toFixed(2);
- var py2 = +py.toFixed(2);
- if (px2 < +Math.min(x1, x2).toFixed(2) ||
- px2 > +Math.max(x1, x2).toFixed(2) ||
- px2 < +Math.min(x3, x4).toFixed(2) ||
- px2 > +Math.max(x3, x4).toFixed(2) ||
- py2 < +Math.min(y1, y2).toFixed(2) ||
- py2 > +Math.max(y1, y2).toFixed(2) ||
- py2 < +Math.min(y3, y4).toFixed(2) ||
- py2 > +Math.max(y3, y4).toFixed(2)) {
- return;
- }
- return {
- x: px,
- y: py,
- };
- };
- var isPointInsideBBox = function (bbox, x, y) {
- return x >= bbox.x && x <= bbox.x + bbox.width && y >= bbox.y && y <= bbox.y + bbox.height;
- };
- var box = function (x, y, width, height) {
- if (x === null) {
- x = y = width = height = 0;
- }
- if (y === null) {
- y = x.y;
- width = x.width;
- height = x.height;
- x = x.x;
- }
- return {
- x: x,
- y: y,
- width: width,
- w: width,
- height: height,
- h: height,
- x2: x + width,
- y2: y + height,
- cx: x + width / 2,
- cy: y + height / 2,
- r1: Math.min(width, height) / 2,
- r2: Math.max(width, height) / 2,
- r0: Math.sqrt(width * width + height * height) / 2,
- path: rectPath(x, y, width, height),
- vb: [x, y, width, height].join(' '),
- };
- };
- var isBBoxIntersect = function (bbox1, bbox2) {
- // @ts-ignore
- bbox1 = box(bbox1);
- // @ts-ignore
- bbox2 = box(bbox2);
- return (isPointInsideBBox(bbox2, bbox1.x, bbox1.y) ||
- isPointInsideBBox(bbox2, bbox1.x2, bbox1.y) ||
- isPointInsideBBox(bbox2, bbox1.x, bbox1.y2) ||
- isPointInsideBBox(bbox2, bbox1.x2, bbox1.y2) ||
- isPointInsideBBox(bbox1, bbox2.x, bbox2.y) ||
- isPointInsideBBox(bbox1, bbox2.x2, bbox2.y) ||
- isPointInsideBBox(bbox1, bbox2.x, bbox2.y2) ||
- isPointInsideBBox(bbox1, bbox2.x2, bbox2.y2) ||
- (((bbox1.x < bbox2.x2 && bbox1.x > bbox2.x) || (bbox2.x < bbox1.x2 && bbox2.x > bbox1.x)) &&
- ((bbox1.y < bbox2.y2 && bbox1.y > bbox2.y) || (bbox2.y < bbox1.y2 && bbox2.y > bbox1.y))));
- };
- var bezierBBox = function (p1x, p1y, c1x, c1y, c2x, c2y, p2x, p2y) {
- if (!isArray(p1x)) {
- p1x = [p1x, p1y, c1x, c1y, c2x, c2y, p2x, p2y];
- }
- var bbox = curveDim.apply(null, p1x);
- return box(bbox.min.x, bbox.min.y, bbox.max.x - bbox.min.x, bbox.max.y - bbox.min.y);
- };
- var findDotsAtSegment = function (p1x, p1y, c1x, c1y, c2x, c2y, p2x, p2y, t) {
- var t1 = 1 - t;
- var t13 = Math.pow(t1, 3);
- var t12 = Math.pow(t1, 2);
- var t2 = t * t;
- var t3 = t2 * t;
- var x = t13 * p1x + t12 * 3 * t * c1x + t1 * 3 * t * t * c2x + t3 * p2x;
- var y = t13 * p1y + t12 * 3 * t * c1y + t1 * 3 * t * t * c2y + t3 * p2y;
- var mx = p1x + 2 * t * (c1x - p1x) + t2 * (c2x - 2 * c1x + p1x);
- var my = p1y + 2 * t * (c1y - p1y) + t2 * (c2y - 2 * c1y + p1y);
- var nx = c1x + 2 * t * (c2x - c1x) + t2 * (p2x - 2 * c2x + c1x);
- var ny = c1y + 2 * t * (c2y - c1y) + t2 * (p2y - 2 * c2y + c1y);
- var ax = t1 * p1x + t * c1x;
- var ay = t1 * p1y + t * c1y;
- var cx = t1 * c2x + t * p2x;
- var cy = t1 * c2y + t * p2y;
- var alpha = 90 - (Math.atan2(mx - nx, my - ny) * 180) / Math.PI;
- // (mx > nx || my < ny) && (alpha += 180);
- return {
- x: x,
- y: y,
- m: {
- x: mx,
- y: my,
- },
- n: {
- x: nx,
- y: ny,
- },
- start: {
- x: ax,
- y: ay,
- },
- end: {
- x: cx,
- y: cy,
- },
- alpha: alpha,
- };
- };
- var interHelper = function (bez1, bez2, justCount) {
- // @ts-ignore
- var bbox1 = bezierBBox(bez1);
- // @ts-ignore
- var bbox2 = bezierBBox(bez2);
- if (!isBBoxIntersect(bbox1, bbox2)) {
- return justCount ? 0 : [];
- }
- var l1 = bezlen.apply(0, bez1);
- var l2 = bezlen.apply(0, bez2);
- var n1 = ~~(l1 / 8);
- var n2 = ~~(l2 / 8);
- var dots1 = [];
- var dots2 = [];
- var xy = {};
- var res = justCount ? 0 : [];
- for (var i = 0; i < n1 + 1; i++) {
- var d = findDotsAtSegment.apply(0, bez1.concat(i / n1));
- dots1.push({
- x: d.x,
- y: d.y,
- t: i / n1,
- });
- }
- for (var i = 0; i < n2 + 1; i++) {
- var d = findDotsAtSegment.apply(0, bez2.concat(i / n2));
- dots2.push({
- x: d.x,
- y: d.y,
- t: i / n2,
- });
- }
- for (var i = 0; i < n1; i++) {
- for (var j = 0; j < n2; j++) {
- var di = dots1[i];
- var di1 = dots1[i + 1];
- var dj = dots2[j];
- var dj1 = dots2[j + 1];
- var ci = Math.abs(di1.x - di.x) < 0.001 ? 'y' : 'x';
- var cj = Math.abs(dj1.x - dj.x) < 0.001 ? 'y' : 'x';
- var is = intersect(di.x, di.y, di1.x, di1.y, dj.x, dj.y, dj1.x, dj1.y);
- if (is) {
- if (xy[is.x.toFixed(4)] === is.y.toFixed(4)) {
- continue;
- }
- xy[is.x.toFixed(4)] = is.y.toFixed(4);
- var t1 = di.t + Math.abs((is[ci] - di[ci]) / (di1[ci] - di[ci])) * (di1.t - di.t);
- var t2 = dj.t + Math.abs((is[cj] - dj[cj]) / (dj1[cj] - dj[cj])) * (dj1.t - dj.t);
- if (t1 >= 0 && t1 <= 1 && t2 >= 0 && t2 <= 1) {
- if (justCount) {
- // @ts-ignore
- res++;
- }
- else {
- // @ts-ignore
- res.push({
- x: is.x,
- y: is.y,
- t1: t1,
- t2: t2,
- });
- }
- }
- }
- }
- }
- return res;
- };
- var interPathHelper = function (path1, path2, justCount) {
- // @ts-ignore
- path1 = path2Curve(path1);
- // @ts-ignore
- path2 = path2Curve(path2);
- var x1;
- var y1;
- var x2;
- var y2;
- var x1m;
- var y1m;
- var x2m;
- var y2m;
- var bez1;
- var bez2;
- var res = justCount ? 0 : [];
- for (var i = 0, ii = path1.length; i < ii; i++) {
- var pi = path1[i];
- if (pi[0] === 'M') {
- x1 = x1m = pi[1];
- y1 = y1m = pi[2];
- }
- else {
- if (pi[0] === 'C') {
- bez1 = [x1, y1].concat(pi.slice(1));
- x1 = bez1[6];
- y1 = bez1[7];
- }
- else {
- bez1 = [x1, y1, x1, y1, x1m, y1m, x1m, y1m];
- x1 = x1m;
- y1 = y1m;
- }
- for (var j = 0, jj = path2.length; j < jj; j++) {
- var pj = path2[j];
- if (pj[0] === 'M') {
- x2 = x2m = pj[1];
- y2 = y2m = pj[2];
- }
- else {
- if (pj[0] === 'C') {
- bez2 = [x2, y2].concat(pj.slice(1));
- x2 = bez2[6];
- y2 = bez2[7];
- }
- else {
- bez2 = [x2, y2, x2, y2, x2m, y2m, x2m, y2m];
- x2 = x2m;
- y2 = y2m;
- }
- var intr = interHelper(bez1, bez2, justCount);
- if (justCount) {
- // @ts-ignore
- res += intr;
- }
- else {
- // @ts-ignore
- for (var k = 0, kk = intr.length; k < kk; k++) {
- intr[k].segment1 = i;
- intr[k].segment2 = j;
- intr[k].bez1 = bez1;
- intr[k].bez2 = bez2;
- }
- // @ts-ignore
- res = res.concat(intr);
- }
- }
- }
- }
- }
- return res;
- };
- export default function pathIntersection(path1, path2) {
- // @ts-ignore
- return interPathHelper(path1, path2);
- }
- //# sourceMappingURL=path-intersection.js.map
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