'use strict'; /** * @typedef {import('../lib/types').XastElement} XastElement * @typedef {import('../lib/types').PathDataItem} PathDataItem */ const { parsePathData, stringifyPathData } = require('../lib/path.js'); /** * @type {[number, number]} */ var prevCtrlPoint; /** * Convert path string to JS representation. * * @type {(path: XastElement) => PathDataItem[]} */ const path2js = (path) => { // @ts-ignore legacy if (path.pathJS) return path.pathJS; /** * @type {PathDataItem[]} */ const pathData = []; // JS representation of the path data const newPathData = parsePathData(path.attributes.d); for (const { command, args } of newPathData) { pathData.push({ command, args }); } // First moveto is actually absolute. Subsequent coordinates were separated above. if (pathData.length && pathData[0].command == 'm') { pathData[0].command = 'M'; } // @ts-ignore legacy path.pathJS = pathData; return pathData; }; exports.path2js = path2js; /** * Convert relative Path data to absolute. * * @type {(data: PathDataItem[]) => PathDataItem[]} * */ const convertRelativeToAbsolute = (data) => { /** * @type {PathDataItem[]} */ const newData = []; let start = [0, 0]; let cursor = [0, 0]; for (let { command, args } of data) { args = args.slice(); // moveto (x y) if (command === 'm') { args[0] += cursor[0]; args[1] += cursor[1]; command = 'M'; } if (command === 'M') { cursor[0] = args[0]; cursor[1] = args[1]; start[0] = cursor[0]; start[1] = cursor[1]; } // horizontal lineto (x) if (command === 'h') { args[0] += cursor[0]; command = 'H'; } if (command === 'H') { cursor[0] = args[0]; } // vertical lineto (y) if (command === 'v') { args[0] += cursor[1]; command = 'V'; } if (command === 'V') { cursor[1] = args[0]; } // lineto (x y) if (command === 'l') { args[0] += cursor[0]; args[1] += cursor[1]; command = 'L'; } if (command === 'L') { cursor[0] = args[0]; cursor[1] = args[1]; } // curveto (x1 y1 x2 y2 x y) if (command === 'c') { args[0] += cursor[0]; args[1] += cursor[1]; args[2] += cursor[0]; args[3] += cursor[1]; args[4] += cursor[0]; args[5] += cursor[1]; command = 'C'; } if (command === 'C') { cursor[0] = args[4]; cursor[1] = args[5]; } // smooth curveto (x2 y2 x y) if (command === 's') { args[0] += cursor[0]; args[1] += cursor[1]; args[2] += cursor[0]; args[3] += cursor[1]; command = 'S'; } if (command === 'S') { cursor[0] = args[2]; cursor[1] = args[3]; } // quadratic Bézier curveto (x1 y1 x y) if (command === 'q') { args[0] += cursor[0]; args[1] += cursor[1]; args[2] += cursor[0]; args[3] += cursor[1]; command = 'Q'; } if (command === 'Q') { cursor[0] = args[2]; cursor[1] = args[3]; } // smooth quadratic Bézier curveto (x y) if (command === 't') { args[0] += cursor[0]; args[1] += cursor[1]; command = 'T'; } if (command === 'T') { cursor[0] = args[0]; cursor[1] = args[1]; } // elliptical arc (rx ry x-axis-rotation large-arc-flag sweep-flag x y) if (command === 'a') { args[5] += cursor[0]; args[6] += cursor[1]; command = 'A'; } if (command === 'A') { cursor[0] = args[5]; cursor[1] = args[6]; } // closepath if (command === 'z' || command === 'Z') { cursor[0] = start[0]; cursor[1] = start[1]; command = 'z'; } newData.push({ command, args }); } return newData; }; /** * @typedef {{ floatPrecision?: number, noSpaceAfterFlags?: boolean }} Js2PathParams */ /** * Convert path array to string. * * @type {(path: XastElement, data: PathDataItem[], params: Js2PathParams) => void} */ exports.js2path = function (path, data, params) { // @ts-ignore legacy path.pathJS = data; const pathData = []; for (const item of data) { // remove moveto commands which are followed by moveto commands if ( pathData.length !== 0 && (item.command === 'M' || item.command === 'm') ) { const last = pathData[pathData.length - 1]; if (last.command === 'M' || last.command === 'm') { pathData.pop(); } } pathData.push({ command: item.command, args: item.args, }); } path.attributes.d = stringifyPathData({ pathData, precision: params.floatPrecision, disableSpaceAfterFlags: params.noSpaceAfterFlags, }); }; /** * @type {(dest: number[], source: number[]) => number[]} */ function set(dest, source) { dest[0] = source[source.length - 2]; dest[1] = source[source.length - 1]; return dest; } /** * Checks if two paths have an intersection by checking convex hulls * collision using Gilbert-Johnson-Keerthi distance algorithm * https://web.archive.org/web/20180822200027/http://entropyinteractive.com/2011/04/gjk-algorithm/ * * @type {(path1: PathDataItem[], path2: PathDataItem[]) => boolean} */ exports.intersects = function (path1, path2) { // Collect points of every subpath. const points1 = gatherPoints(convertRelativeToAbsolute(path1)); const points2 = gatherPoints(convertRelativeToAbsolute(path2)); // Axis-aligned bounding box check. if ( points1.maxX <= points2.minX || points2.maxX <= points1.minX || points1.maxY <= points2.minY || points2.maxY <= points1.minY || points1.list.every((set1) => { return points2.list.every((set2) => { return ( set1.list[set1.maxX][0] <= set2.list[set2.minX][0] || set2.list[set2.maxX][0] <= set1.list[set1.minX][0] || set1.list[set1.maxY][1] <= set2.list[set2.minY][1] || set2.list[set2.maxY][1] <= set1.list[set1.minY][1] ); }); }) ) return false; // Get a convex hull from points of each subpath. Has the most complexity O(n·log n). const hullNest1 = points1.list.map(convexHull); const hullNest2 = points2.list.map(convexHull); // Check intersection of every subpath of the first path with every subpath of the second. return hullNest1.some(function (hull1) { if (hull1.list.length < 3) return false; return hullNest2.some(function (hull2) { if (hull2.list.length < 3) return false; var simplex = [getSupport(hull1, hull2, [1, 0])], // create the initial simplex direction = minus(simplex[0]); // set the direction to point towards the origin var iterations = 1e4; // infinite loop protection, 10 000 iterations is more than enough // eslint-disable-next-line no-constant-condition while (true) { if (iterations-- == 0) { console.error( 'Error: infinite loop while processing mergePaths plugin.', ); return true; // true is the safe value that means “do nothing with paths” } // add a new point simplex.push(getSupport(hull1, hull2, direction)); // see if the new point was on the correct side of the origin if (dot(direction, simplex[simplex.length - 1]) <= 0) return false; // process the simplex if (processSimplex(simplex, direction)) return true; } }); }); /** * @type {(a: Point, b: Point, direction: number[]) => number[]} */ function getSupport(a, b, direction) { return sub(supportPoint(a, direction), supportPoint(b, minus(direction))); } // Computes farthest polygon point in particular direction. // Thanks to knowledge of min/max x and y coordinates we can choose a quadrant to search in. // Since we're working on convex hull, the dot product is increasing until we find the farthest point. /** * @type {(polygon: Point, direction: number[]) => number[]} */ function supportPoint(polygon, direction) { var index = direction[1] >= 0 ? direction[0] < 0 ? polygon.maxY : polygon.maxX : direction[0] < 0 ? polygon.minX : polygon.minY, max = -Infinity, value; while ((value = dot(polygon.list[index], direction)) > max) { max = value; index = ++index % polygon.list.length; } return polygon.list[(index || polygon.list.length) - 1]; } }; /** * @type {(simplex: number[][], direction: number[]) => boolean} */ function processSimplex(simplex, direction) { // we only need to handle to 1-simplex and 2-simplex if (simplex.length == 2) { // 1-simplex let a = simplex[1], b = simplex[0], AO = minus(simplex[1]), AB = sub(b, a); // AO is in the same direction as AB if (dot(AO, AB) > 0) { // get the vector perpendicular to AB facing O set(direction, orth(AB, a)); } else { set(direction, AO); // only A remains in the simplex simplex.shift(); } } else { // 2-simplex let a = simplex[2], // [a, b, c] = simplex b = simplex[1], c = simplex[0], AB = sub(b, a), AC = sub(c, a), AO = minus(a), ACB = orth(AB, AC), // the vector perpendicular to AB facing away from C ABC = orth(AC, AB); // the vector perpendicular to AC facing away from B if (dot(ACB, AO) > 0) { if (dot(AB, AO) > 0) { // region 4 set(direction, ACB); simplex.shift(); // simplex = [b, a] } else { // region 5 set(direction, AO); simplex.splice(0, 2); // simplex = [a] } } else if (dot(ABC, AO) > 0) { if (dot(AC, AO) > 0) { // region 6 set(direction, ABC); simplex.splice(1, 1); // simplex = [c, a] } else { // region 5 (again) set(direction, AO); simplex.splice(0, 2); // simplex = [a] } } // region 7 else return true; } return false; } /** * @type {(v: number[]) => number[]} */ function minus(v) { return [-v[0], -v[1]]; } /** * @type {(v1: number[], v2: number[]) => number[]} */ function sub(v1, v2) { return [v1[0] - v2[0], v1[1] - v2[1]]; } /** * @type {(v1: number[], v2: number[]) => number} */ function dot(v1, v2) { return v1[0] * v2[0] + v1[1] * v2[1]; } /** * @type {(v1: number[], v2: number[]) => number[]} */ function orth(v, from) { var o = [-v[1], v[0]]; return dot(o, minus(from)) < 0 ? minus(o) : o; } /** * @typedef {{ * list: number[][], * minX: number, * minY: number, * maxX: number, * maxY: number * }} Point */ /** * @typedef {{ * list: Point[], * minX: number, * minY: number, * maxX: number, * maxY: number * }} Points */ /** * @type {(pathData: PathDataItem[]) => Points} */ function gatherPoints(pathData) { /** * @type {Points} */ const points = { list: [], minX: 0, minY: 0, maxX: 0, maxY: 0 }; // Writes data about the extreme points on each axle /** * @type {(path: Point, point: number[]) => void} */ const addPoint = (path, point) => { if (!path.list.length || point[1] > path.list[path.maxY][1]) { path.maxY = path.list.length; points.maxY = points.list.length ? Math.max(point[1], points.maxY) : point[1]; } if (!path.list.length || point[0] > path.list[path.maxX][0]) { path.maxX = path.list.length; points.maxX = points.list.length ? Math.max(point[0], points.maxX) : point[0]; } if (!path.list.length || point[1] < path.list[path.minY][1]) { path.minY = path.list.length; points.minY = points.list.length ? Math.min(point[1], points.minY) : point[1]; } if (!path.list.length || point[0] < path.list[path.minX][0]) { path.minX = path.list.length; points.minX = points.list.length ? Math.min(point[0], points.minX) : point[0]; } path.list.push(point); }; for (let i = 0; i < pathData.length; i += 1) { const pathDataItem = pathData[i]; let subPath = points.list.length === 0 ? { list: [], minX: 0, minY: 0, maxX: 0, maxY: 0 } : points.list[points.list.length - 1]; let prev = i === 0 ? null : pathData[i - 1]; let basePoint = subPath.list.length === 0 ? null : subPath.list[subPath.list.length - 1]; let data = pathDataItem.args; let ctrlPoint = basePoint; /** * @type {(n: number, i: number) => number} * TODO fix null hack */ const toAbsolute = (n, i) => n + (basePoint == null ? 0 : basePoint[i % 2]); switch (pathDataItem.command) { case 'M': subPath = { list: [], minX: 0, minY: 0, maxX: 0, maxY: 0 }; points.list.push(subPath); break; case 'H': if (basePoint != null) { addPoint(subPath, [data[0], basePoint[1]]); } break; case 'V': if (basePoint != null) { addPoint(subPath, [basePoint[0], data[0]]); } break; case 'Q': addPoint(subPath, data.slice(0, 2)); prevCtrlPoint = [data[2] - data[0], data[3] - data[1]]; // Save control point for shorthand break; case 'T': if ( basePoint != null && prev != null && (prev.command == 'Q' || prev.command == 'T') ) { ctrlPoint = [ basePoint[0] + prevCtrlPoint[0], basePoint[1] + prevCtrlPoint[1], ]; addPoint(subPath, ctrlPoint); prevCtrlPoint = [data[0] - ctrlPoint[0], data[1] - ctrlPoint[1]]; } break; case 'C': if (basePoint != null) { // Approximate quibic Bezier curve with middle points between control points addPoint(subPath, [ 0.5 * (basePoint[0] + data[0]), 0.5 * (basePoint[1] + data[1]), ]); } addPoint(subPath, [ 0.5 * (data[0] + data[2]), 0.5 * (data[1] + data[3]), ]); addPoint(subPath, [ 0.5 * (data[2] + data[4]), 0.5 * (data[3] + data[5]), ]); prevCtrlPoint = [data[4] - data[2], data[5] - data[3]]; // Save control point for shorthand break; case 'S': if ( basePoint != null && prev != null && (prev.command == 'C' || prev.command == 'S') ) { addPoint(subPath, [ basePoint[0] + 0.5 * prevCtrlPoint[0], basePoint[1] + 0.5 * prevCtrlPoint[1], ]); ctrlPoint = [ basePoint[0] + prevCtrlPoint[0], basePoint[1] + prevCtrlPoint[1], ]; } if (ctrlPoint != null) { addPoint(subPath, [ 0.5 * (ctrlPoint[0] + data[0]), 0.5 * (ctrlPoint[1] + data[1]), ]); } addPoint(subPath, [ 0.5 * (data[0] + data[2]), 0.5 * (data[1] + data[3]), ]); prevCtrlPoint = [data[2] - data[0], data[3] - data[1]]; break; case 'A': if (basePoint != null) { // Convert the arc to bezier curves and use the same approximation // @ts-ignore no idea what's going on here var curves = a2c.apply(0, basePoint.concat(data)); for ( var cData; (cData = curves.splice(0, 6).map(toAbsolute)).length; ) { if (basePoint != null) { addPoint(subPath, [ 0.5 * (basePoint[0] + cData[0]), 0.5 * (basePoint[1] + cData[1]), ]); } addPoint(subPath, [ 0.5 * (cData[0] + cData[2]), 0.5 * (cData[1] + cData[3]), ]); addPoint(subPath, [ 0.5 * (cData[2] + cData[4]), 0.5 * (cData[3] + cData[5]), ]); if (curves.length) addPoint(subPath, (basePoint = cData.slice(-2))); } } break; } // Save final command coordinates if (data.length >= 2) addPoint(subPath, data.slice(-2)); } return points; } /** * Forms a convex hull from set of points of every subpath using monotone chain convex hull algorithm. * https://en.wikibooks.org/wiki/Algorithm_Implementation/Geometry/Convex_hull/Monotone_chain * * @type {(points: Point) => Point} */ function convexHull(points) { points.list.sort(function (a, b) { return a[0] == b[0] ? a[1] - b[1] : a[0] - b[0]; }); var lower = [], minY = 0, bottom = 0; for (let i = 0; i < points.list.length; i++) { while ( lower.length >= 2 && cross(lower[lower.length - 2], lower[lower.length - 1], points.list[i]) <= 0 ) { lower.pop(); } if (points.list[i][1] < points.list[minY][1]) { minY = i; bottom = lower.length; } lower.push(points.list[i]); } var upper = [], maxY = points.list.length - 1, top = 0; for (let i = points.list.length; i--; ) { while ( upper.length >= 2 && cross(upper[upper.length - 2], upper[upper.length - 1], points.list[i]) <= 0 ) { upper.pop(); } if (points.list[i][1] > points.list[maxY][1]) { maxY = i; top = upper.length; } upper.push(points.list[i]); } // last points are equal to starting points of the other part upper.pop(); lower.pop(); const hullList = lower.concat(upper); /** * @type {Point} */ const hull = { list: hullList, minX: 0, // by sorting maxX: lower.length, minY: bottom, maxY: (lower.length + top) % hullList.length, }; return hull; } /** * @type {(o: number[], a: number[], b: number[]) => number} */ function cross(o, a, b) { return (a[0] - o[0]) * (b[1] - o[1]) - (a[1] - o[1]) * (b[0] - o[0]); } /** * Based on code from Snap.svg (Apache 2 license). http://snapsvg.io/ * Thanks to Dmitry Baranovskiy for his great work! * * @type {( * x1: number, * y1: number, * rx: number, * ry: number, * angle: number, * large_arc_flag: number, * sweep_flag: number, * x2: number, * y2: number, * recursive: number[] * ) => number[]} */ const a2c = ( x1, y1, rx, ry, angle, large_arc_flag, sweep_flag, x2, y2, recursive, ) => { // for more information of where this Math came from visit: // https://www.w3.org/TR/SVG11/implnote.html#ArcImplementationNotes const _120 = (Math.PI * 120) / 180; const rad = (Math.PI / 180) * (+angle || 0); /** * @type {number[]} */ let res = []; /** * @type {(x: number, y: number, rad: number) => number} */ const rotateX = (x, y, rad) => { return x * Math.cos(rad) - y * Math.sin(rad); }; /** * @type {(x: number, y: number, rad: number) => number} */ const rotateY = (x, y, rad) => { return x * Math.sin(rad) + y * Math.cos(rad); }; if (!recursive) { x1 = rotateX(x1, y1, -rad); y1 = rotateY(x1, y1, -rad); x2 = rotateX(x2, y2, -rad); y2 = rotateY(x2, y2, -rad); var x = (x1 - x2) / 2, y = (y1 - y2) / 2; var h = (x * x) / (rx * rx) + (y * y) / (ry * ry); if (h > 1) { h = Math.sqrt(h); rx = h * rx; ry = h * ry; } var rx2 = rx * rx; var ry2 = ry * ry; var k = (large_arc_flag == sweep_flag ? -1 : 1) * Math.sqrt( Math.abs( (rx2 * ry2 - rx2 * y * y - ry2 * x * x) / (rx2 * y * y + ry2 * x * x), ), ); var cx = (k * rx * y) / ry + (x1 + x2) / 2; var cy = (k * -ry * x) / rx + (y1 + y2) / 2; var f1 = Math.asin(Number(((y1 - cy) / ry).toFixed(9))); var f2 = Math.asin(Number(((y2 - cy) / ry).toFixed(9))); f1 = x1 < cx ? Math.PI - f1 : f1; f2 = x2 < cx ? Math.PI - f2 : f2; f1 < 0 && (f1 = Math.PI * 2 + f1); f2 < 0 && (f2 = Math.PI * 2 + f2); if (sweep_flag && f1 > f2) { f1 = f1 - Math.PI * 2; } if (!sweep_flag && f2 > f1) { f2 = f2 - Math.PI * 2; } } else { f1 = recursive[0]; f2 = recursive[1]; cx = recursive[2]; cy = recursive[3]; } var df = f2 - f1; if (Math.abs(df) > _120) { var f2old = f2, x2old = x2, y2old = y2; f2 = f1 + _120 * (sweep_flag && f2 > f1 ? 1 : -1); x2 = cx + rx * Math.cos(f2); y2 = cy + ry * Math.sin(f2); res = a2c(x2, y2, rx, ry, angle, 0, sweep_flag, x2old, y2old, [ f2, f2old, cx, cy, ]); } df = f2 - f1; var c1 = Math.cos(f1), s1 = Math.sin(f1), c2 = Math.cos(f2), s2 = Math.sin(f2), t = Math.tan(df / 4), hx = (4 / 3) * rx * t, hy = (4 / 3) * ry * t, m = [ -hx * s1, hy * c1, x2 + hx * s2 - x1, y2 - hy * c2 - y1, x2 - x1, y2 - y1, ]; if (recursive) { return m.concat(res); } else { res = m.concat(res); var newres = []; for (var i = 0, n = res.length; i < n; i++) { newres[i] = i % 2 ? rotateY(res[i - 1], res[i], rad) : rotateX(res[i], res[i + 1], rad); } return newres; } };