"use strict"; const TypoGeom = require("typo-geom"); const Point = require("./point"); const { mix } = require("./utils"); const Transform = require("./transform"); exports.OffsetCurve = class OffsetCurve { constructor(bone, offset, contrast) { this.bone = bone; this.offset = offset; this.contrast = contrast; } eval(t) { const c = this.bone.eval(t); const d = this.bone.derivative(t); const absD = Math.hypot(d.x, d.y); return { x: c.x - (d.y / absD) * this.offset * this.contrast, y: c.y + (d.x / absD) * this.offset }; } derivative(t) { const DELTA = 1 / 0x10000; const forward = this.eval(t + DELTA); const backward = this.eval(t - DELTA); return { x: (forward.x - backward.x) / (2 * DELTA), y: (forward.y - backward.y) / (2 * DELTA) }; } }; exports.curveToContour = function (curve, segments) { const z0 = curve.eval(0); const z1 = curve.eval(1); const offPoints = fixedCubify(curve, segments || 16); return [Point.cornerFrom(z0), ...offPoints, Point.cornerFrom(z1)]; }; function convertContourToCubic(contour) { if (!contour || !contour.length) return []; const newContour = []; let z0 = contour[0]; newContour.push(Point.cornerFrom(z0)); for (let j = 1; j < contour.length; j++) { const z = contour[j]; if (z.on) { newContour.push(Point.cornerFrom(z)); z0 = z; } else if (z.cubic) { const z1 = z; const z2 = contour[j + 1]; const z3 = contour[j + 2]; newContour.push(Point.cubicOffFrom(z1)); newContour.push(Point.cubicOffFrom(z2)); newContour.push(Point.cornerFrom(z3)); z0 = z3; j += 2; } else { const zc = z; let zf = contour[j + 1] || contour[0]; const zfIsCorner = zf.on; if (!zfIsCorner) zf = Point.cornerFrom(zc).mix(0.5, zf); newContour.push(Point.cubicOffFrom(z0).mix(2 / 3, zc)); newContour.push(Point.cubicOffFrom(zf).mix(2 / 3, zc)); newContour.push(Point.cornerFrom(zf)); z0 = zf; if (zfIsCorner) j++; } } return newContour; } function convertContourToCubicRev(contour) { return convertContourToCubic(contour).reverse(); } function autoCubify(arc, err) { const MaxSegments = 16; const Hits = 64; let offPoints = []; for (let nSeg = 1; nSeg <= MaxSegments; nSeg++) { const perSegHits = Math.ceil(Hits / nSeg); offPoints.length = 0; let good = true; out: for (let s = 0; s < nSeg; s++) { const tBefore = s / nSeg; const tAfter = (s + 1) / nSeg; const z0 = Point.cornerFrom(arc.eval(tBefore)); const z3 = Point.cornerFrom(arc.eval(tAfter)); const z1 = Point.cubicOffFrom(z0).addScale(1 / (3 * nSeg), arc.derivative(tBefore)); const z2 = Point.cubicOffFrom(z3).addScale(-1 / (3 * nSeg), arc.derivative(tAfter)); if (s > 0) offPoints.push(z0); offPoints.push(z1, z2); const bezArc = new TypoGeom.Arcs.Bez3(z0, z1, z2, z3); for (let k = 1; k < perSegHits; k++) { const tk = k / perSegHits; const zTest = arc.eval(mix(tBefore, tAfter, tk)); const zBez = bezArc.eval(tk); if (Math.hypot(zTest.x - zBez.x, zTest.y - zBez.y) > err) { good = false; break out; } } } if (good) break; } return offPoints; } function fixedCubify(arc, nSeg) { let offPoints = []; for (let s = 0; s < nSeg; s++) { const tBefore = s / nSeg; const tAfter = (s + 1) / nSeg; const z0 = Point.cornerFrom(arc.eval(tBefore)); const z3 = Point.cornerFrom(arc.eval(tAfter)); const z1 = Point.cubicOffFrom(z0).addScale(1 / (3 * nSeg), arc.derivative(tBefore)); const z2 = Point.cubicOffFrom(z3).addScale(-1 / (3 * nSeg), arc.derivative(tAfter)); if (s > 0) offPoints.push(z0); offPoints.push(z1, z2); } return offPoints; } function convertContourToArcs(contour) { if (!contour || !contour.length) return []; const newContour = []; let z0 = Point.cornerFrom(contour[0]); for (let j = 1; j < contour.length; j++) { const z = contour[j]; if (z.on) { newContour.push( TypoGeom.Arcs.Bez3.fromStraightSegment( new TypoGeom.Arcs.StraightSegment(z0, Point.cornerFrom(z)) ) ); z0 = z; } else if (z.cubic) { const z1 = z; const z2 = contour[j + 1]; const z3 = contour[j + 2]; newContour.push( new TypoGeom.Arcs.Bez3( z0, Point.cubicOffFrom(z1), Point.cubicOffFrom(z2), Point.cornerFrom(z3) ) ); z0 = z3; j += 2; } else { const zc = z; let zf = contour[j + 1] || contour[0]; const zfIsCorner = zf.on; if (!zfIsCorner) zf = Point.cornerFrom(zc).mix(0.5, zf); newContour.push( new TypoGeom.Arcs.Bez3( z0, Point.cubicOffFrom(z0).mix(2 / 3, zc), Point.cubicOffFrom(zf).mix(2 / 3, zc), Point.cornerFrom(zf) ) ); z0 = zf; if (zfIsCorner) j++; } } return newContour; } function convertShapeToArcs(shape) { return shape.map(convertContourToArcs); } exports.convertContourToCubic = convertContourToCubic; exports.convertContourToCubicRev = convertContourToCubicRev; exports.autoCubify = autoCubify; exports.fixedCubify = fixedCubify; exports.convertShapeToArcs = convertShapeToArcs; exports.ArcFlattener = class ArcFlattener { constructor(gizmo) { this.gizmo = gizmo || Transform.Id(); this.contours = []; this.lastContour = []; } beginShape() {} endShape() { if (this.lastContour.length) { this.contours.push(this.lastContour); } this.lastContour = []; } moveTo(x, y) { this.endShape(); this.lastContour.push(Point.transformedXY(this.gizmo, x, y, true)); } lineTo(x, y) { this.lastContour.push(Point.transformedXY(this.gizmo, x, y, true)); } curveTo(xc, yc, x, y) { this.lastContour.push(Point.transformedXY(this.gizmo, xc, yc, false, false)); this.lastContour.push(Point.transformedXY(this.gizmo, x, y, true)); } cubicTo(x1, y1, x2, y2, x, y) { this.lastContour.push(Point.transformedXY(this.gizmo, x1, y1, false, true)); this.lastContour.push(Point.transformedXY(this.gizmo, x2, y2, false, true)); this.lastContour.push(Point.transformedXY(this.gizmo, x, y, true)); } };