| '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) => Array<PathDataItem>} |
| */ |
| const path2js = (path) => { |
| // @ts-ignore legacy |
| if (path.pathJS) return path.pathJS; |
| /** |
| * @type {Array<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: Array<PathDataItem>) => Array<PathDataItem>} |
| * |
| */ |
| const convertRelativeToAbsolute = (data) => { |
| /** |
| * @type {Array<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: Array<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: Array<number>, source: Array<number>) => Array<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: Array<PathDataItem>, path2: Array<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) { |
| // eslint-disable-next-line no-constant-condition |
| 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: Array<number>) => Array<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: Array<number>) => Array<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: Array<Array<number>>, direction: Array<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: Array<number>) => Array<number>} |
| */ |
| function minus(v) { |
| return [-v[0], -v[1]]; |
| } |
| |
| /** |
| * @type {(v1: Array<number>, v2: Array<number>) => Array<number>} |
| */ |
| function sub(v1, v2) { |
| return [v1[0] - v2[0], v1[1] - v2[1]]; |
| } |
| |
| /** |
| * @type {(v1: Array<number>, v2: Array<number>) => number} |
| */ |
| function dot(v1, v2) { |
| return v1[0] * v2[0] + v1[1] * v2[1]; |
| } |
| |
| /** |
| * @type {(v1: Array<number>, v2: Array<number>) => Array<number>} |
| */ |
| function orth(v, from) { |
| var o = [-v[1], v[0]]; |
| return dot(o, minus(from)) < 0 ? minus(o) : o; |
| } |
| |
| /** |
| * @typedef {{ |
| * list: Array<Array<number>>, |
| * minX: number, |
| * minY: number, |
| * maxX: number, |
| * maxY: number |
| * }} Point |
| */ |
| |
| /** |
| * @typedef {{ |
| * list: Array<Point>, |
| * minX: number, |
| * minY: number, |
| * maxX: number, |
| * maxY: number |
| * }} Points |
| */ |
| |
| /** |
| * @type {(pathData: Array<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: Array<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: Array<number>, a: Array<number>, b: Array<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: Array<number> |
| * ) => Array<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 {Array<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; |
| } |
| }; |