pixi.js

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pixijs/pixijs

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{"version":3,"file":"buildArcToSvg.mjs","sources":["../../../../../src/scene/graphics/shared/buildCommands/buildArcToSvg.ts"],"sourcesContent":["import { buildAdaptiveBezier } from './buildAdaptiveBezier';\n\nconst TAU = Math.PI * 2;\n\nconst out = {\n centerX: 0,\n centerY: 0,\n ang1: 0,\n ang2: 0\n};\n\nconst mapToEllipse = (\n { x, y }: {x: number, y: number},\n rx: number, ry: number,\n cosPhi: number, sinPhi: number,\n centerX: number, centerY: number,\n out: {x: number, y: number}\n): {x: number, y: number} =>\n{\n x *= rx;\n y *= ry;\n\n const xp = (cosPhi * x) - (sinPhi * y);\n const yp = (sinPhi * x) + (cosPhi * y);\n\n out.x = xp + centerX;\n out.y = yp + centerY;\n\n return out;\n};\n\nfunction approxUnitArc(ang1: number, ang2: number): {x: number, y: number}[]\n{\n // If 90 degree circular arc, use a constant\n // as derived from http://spencermortensen.com/articles/bezier-circle\n\n const a1 = ang2 === -1.5707963267948966 ? -0.551915024494 : 4 / 3 * Math.tan(ang2 / 4);\n\n const a = ang2 === 1.5707963267948966 ? 0.551915024494 : a1;\n\n const x1 = Math.cos(ang1);\n const y1 = Math.sin(ang1);\n const x2 = Math.cos(ang1 + ang2);\n const y2 = Math.sin(ang1 + ang2);\n\n return [\n {\n x: x1 - (y1 * a),\n y: y1 + (x1 * a)\n },\n {\n x: x2 + (y2 * a),\n y: y2 - (x2 * a)\n },\n {\n x: x2,\n y: y2\n }\n ];\n}\n\nconst vectorAngle = (ux: number, uy: number, vx: number, vy: number) =>\n{\n const sign = ((ux * vy) - (uy * vx) < 0) ? -1 : 1;\n\n let dot = (ux * vx) + (uy * vy);\n\n if (dot > 1)\n {\n dot = 1;\n }\n\n if (dot < -1)\n {\n dot = -1;\n }\n\n return sign * Math.acos(dot);\n};\n\nconst getArcCenter = (\n px: number,\n py: number,\n cx: number,\n cy: number,\n rx: number,\n ry: number,\n largeArcFlag: number,\n sweepFlag: number,\n sinPhi: number,\n cosPhi: number,\n pxp: number,\n pyp: number,\n out: {\n centerX: number,\n centerY: number,\n ang1: number,\n ang2: number\n }\n// eslint-disable-next-line max-params\n) =>\n{\n const rxSq = Math.pow(rx, 2);\n const rySq = Math.pow(ry, 2);\n const pxpSq = Math.pow(pxp, 2);\n const pypSq = Math.pow(pyp, 2);\n\n let radicant = (rxSq * rySq) - (rxSq * pypSq) - (rySq * pxpSq);\n\n if (radicant < 0)\n {\n radicant = 0;\n }\n\n radicant /= (rxSq * pypSq) + (rySq * pxpSq);\n radicant = Math.sqrt(radicant) * (largeArcFlag === sweepFlag ? -1 : 1);\n\n const centerXp = radicant * rx / ry * pyp;\n const centerYp = radicant * -ry / rx * pxp;\n\n const centerX = (cosPhi * centerXp) - (sinPhi * centerYp) + ((px + cx) / 2);\n const centerY = (sinPhi * centerXp) + (cosPhi * centerYp) + ((py + cy) / 2);\n\n const vx1 = (pxp - centerXp) / rx;\n const vy1 = (pyp - centerYp) / ry;\n const vx2 = (-pxp - centerXp) / rx;\n const vy2 = (-pyp - centerYp) / ry;\n\n const ang1 = vectorAngle(1, 0, vx1, vy1);\n let ang2 = vectorAngle(vx1, vy1, vx2, vy2);\n\n if (sweepFlag === 0 && ang2 > 0)\n {\n ang2 -= TAU;\n }\n\n if (sweepFlag === 1 && ang2 < 0)\n {\n ang2 += TAU;\n }\n\n out.centerX = centerX;\n out.centerY = centerY;\n out.ang1 = ang1;\n out.ang2 = ang2;\n};\n\n/**\n * @param points\n * @param px\n * @param py\n * @param cx\n * @param cy\n * @param rx\n * @param ry\n * @param xAxisRotation\n * @param largeArcFlag\n * @param sweepFlag\n * @internal\n */\nexport function buildArcToSvg(\n points: number[],\n px: number,\n py: number,\n cx: number,\n cy: number,\n rx: number,\n ry: number,\n xAxisRotation = 0,\n largeArcFlag = 0,\n sweepFlag = 0\n): void\n{\n if (rx === 0 || ry === 0)\n {\n return;\n }\n\n const sinPhi = Math.sin(xAxisRotation * TAU / 360);\n const cosPhi = Math.cos(xAxisRotation * TAU / 360);\n\n const pxp = (cosPhi * (px - cx) / 2) + (sinPhi * (py - cy) / 2);\n const pyp = (-sinPhi * (px - cx) / 2) + (cosPhi * (py - cy) / 2);\n\n if (pxp === 0 && pyp === 0)\n {\n return;\n }\n\n rx = Math.abs(rx);\n ry = Math.abs(ry);\n\n const lambda = (Math.pow(pxp, 2) / Math.pow(rx, 2)) + (Math.pow(pyp, 2) / Math.pow(ry, 2));\n\n if (lambda > 1)\n {\n rx *= Math.sqrt(lambda);\n ry *= Math.sqrt(lambda);\n }\n\n getArcCenter(\n px,\n py,\n cx,\n cy,\n rx,\n ry,\n largeArcFlag,\n sweepFlag,\n sinPhi,\n cosPhi,\n pxp,\n pyp,\n out\n );\n\n let { ang1, ang2 } = out;\n const { centerX, centerY } = out;\n\n // If 'ang2' == 90.0000000001, then `ratio` will devalue to\n // 1.0000000001. This causes `segments` to be greater than one, which is an\n // unnecessary split, and adds extra points to the bezier curve. To alleviate\n // this issue, we round to 1.0 when the ratio is close to 1.0.\n let ratio = Math.abs(ang2) / (TAU / 4);\n\n if (Math.abs(1.0 - ratio) < 0.0000001)\n {\n ratio = 1.0;\n }\n\n const segments = Math.max(Math.ceil(ratio), 1);\n\n ang2 /= segments;\n\n let lastX = points[points.length - 2];\n let lastY = points[points.length - 1];\n\n const outCurvePoint = { x: 0, y: 0 };\n\n for (let i = 0; i < segments; i++)\n {\n const curve = approxUnitArc(ang1, ang2);\n\n const { x: x1, y: y1 } = mapToEllipse(curve[0], rx, ry, cosPhi, sinPhi, centerX, centerY, outCurvePoint);\n const { x: x2, y: y2 } = mapToEllipse(curve[1], rx, ry, cosPhi, sinPhi, centerX, centerY, outCurvePoint);\n const { x, y } = mapToEllipse(curve[2], rx, ry, cosPhi, sinPhi, centerX, centerY, outCurvePoint);\n\n buildAdaptiveBezier(\n points,\n lastX, lastY,\n x1, y1, x2, y2, x, y\n );\n\n lastX = x;\n lastY = y;\n\n ang1 += ang2;\n 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