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Co-Authored-By: 狸花猫/Claude-Qwen3.6-Plus 🐾
141 lines
5.0 KiB
JavaScript
141 lines
5.0 KiB
JavaScript
var TAU = Math.PI * 2;
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var mapToEllipse = function (_a, rx, ry, cosphi, sinphi, centerx, centery) {
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var x = _a.x, y = _a.y;
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x *= rx;
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y *= ry;
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var xp = cosphi * x - sinphi * y;
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var yp = sinphi * x + cosphi * y;
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return {
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x: xp + centerx,
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y: yp + centery
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};
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};
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var approxUnitArc = function (ang1, ang2) {
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// If 90 degree circular arc, use a constant
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// as derived from http://spencermortensen.com/articles/bezier-circle
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var a = ang2 === 1.5707963267948966
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? 0.551915024494
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: ang2 === -1.5707963267948966
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? -0.551915024494
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: 4 / 3 * Math.tan(ang2 / 4);
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var x1 = Math.cos(ang1);
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var y1 = Math.sin(ang1);
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var x2 = Math.cos(ang1 + ang2);
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var y2 = Math.sin(ang1 + ang2);
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return [
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{
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x: x1 - y1 * a,
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y: y1 + x1 * a
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},
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{
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x: x2 + y2 * a,
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y: y2 - x2 * a
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},
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{
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x: x2,
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y: y2
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}
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];
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};
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var vectorAngle = function (ux, uy, vx, vy) {
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var sign = (ux * vy - uy * vx < 0) ? -1 : 1;
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var dot = ux * vx + uy * vy;
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if (dot > 1) {
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dot = 1;
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}
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if (dot < -1) {
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dot = -1;
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}
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return sign * Math.acos(dot);
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};
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var getArcCenter = function (px, py, cx, cy, rx, ry, largeArcFlag, sweepFlag, sinphi, cosphi, pxp, pyp) {
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var rxsq = Math.pow(rx, 2);
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var rysq = Math.pow(ry, 2);
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var pxpsq = Math.pow(pxp, 2);
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var pypsq = Math.pow(pyp, 2);
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var radicant = (rxsq * rysq) - (rxsq * pypsq) - (rysq * pxpsq);
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if (radicant < 0) {
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radicant = 0;
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}
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radicant /= (rxsq * pypsq) + (rysq * pxpsq);
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radicant = Math.sqrt(radicant) * (largeArcFlag === sweepFlag ? -1 : 1);
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var centerxp = radicant * rx / ry * pyp;
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var centeryp = radicant * -ry / rx * pxp;
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var centerx = cosphi * centerxp - sinphi * centeryp + (px + cx) / 2;
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var centery = sinphi * centerxp + cosphi * centeryp + (py + cy) / 2;
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var vx1 = (pxp - centerxp) / rx;
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var vy1 = (pyp - centeryp) / ry;
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var vx2 = (-pxp - centerxp) / rx;
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var vy2 = (-pyp - centeryp) / ry;
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var ang1 = vectorAngle(1, 0, vx1, vy1);
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var ang2 = vectorAngle(vx1, vy1, vx2, vy2);
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if (sweepFlag === 0 && ang2 > 0) {
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ang2 -= TAU;
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}
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if (sweepFlag === 1 && ang2 < 0) {
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ang2 += TAU;
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}
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return [centerx, centery, ang1, ang2];
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};
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var arcToBezier = function (_a) {
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var px = _a.px, py = _a.py, cx = _a.cx, cy = _a.cy, rx = _a.rx, ry = _a.ry, _b = _a.xAxisRotation, xAxisRotation = _b === void 0 ? 0 : _b, _c = _a.largeArcFlag, largeArcFlag = _c === void 0 ? 0 : _c, _d = _a.sweepFlag, sweepFlag = _d === void 0 ? 0 : _d;
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var curves = [];
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if (rx === 0 || ry === 0) {
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return [{ x1: 0, y1: 0, x2: 0, y2: 0, x: cx, y: cy }];
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}
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var sinphi = Math.sin(xAxisRotation * TAU / 360);
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var cosphi = Math.cos(xAxisRotation * TAU / 360);
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var pxp = cosphi * (px - cx) / 2 + sinphi * (py - cy) / 2;
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var pyp = -sinphi * (px - cx) / 2 + cosphi * (py - cy) / 2;
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if (pxp === 0 && pyp === 0) {
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return [{ x1: 0, y1: 0, x2: 0, y2: 0, x: cx, y: cy }];
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}
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rx = Math.abs(rx);
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ry = Math.abs(ry);
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var lambda = Math.pow(pxp, 2) / Math.pow(rx, 2) +
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Math.pow(pyp, 2) / Math.pow(ry, 2);
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if (lambda > 1) {
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rx *= Math.sqrt(lambda);
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ry *= Math.sqrt(lambda);
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}
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var _e = getArcCenter(px, py, cx, cy, rx, ry, largeArcFlag, sweepFlag, sinphi, cosphi, pxp, pyp), centerx = _e[0], centery = _e[1], ang1 = _e[2], ang2 = _e[3];
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// If 'ang2' == 90.0000000001, then `ratio` will evaluate to
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// 1.0000000001. This causes `segments` to be greater than one, which is an
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// unecessary split, and adds extra points to the bezier curve. To alleviate
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// this issue, we round to 1.0 when the ratio is close to 1.0.
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var ratio = Math.abs(ang2) / (TAU / 4);
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if (Math.abs(1.0 - ratio) < 0.0000001) {
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ratio = 1.0;
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}
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var segments = Math.max(Math.ceil(ratio), 1);
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ang2 /= segments;
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for (var i = 0; i < segments; i++) {
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curves.push(approxUnitArc(ang1, ang2));
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ang1 += ang2;
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}
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return curves.map(function (curve) {
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var _a = mapToEllipse(curve[0], rx, ry, cosphi, sinphi, centerx, centery), x1 = _a.x, y1 = _a.y;
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var _b = mapToEllipse(curve[1], rx, ry, cosphi, sinphi, centerx, centery), x2 = _b.x, y2 = _b.y;
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var _c = mapToEllipse(curve[2], rx, ry, cosphi, sinphi, centerx, centery), x = _c.x, y = _c.y;
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return { x1: x1, y1: y1, x2: x2, y2: y2, x: x, y: y };
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});
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};
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export function arcToCubic(x1, y1, rx, ry, angle, LAF, SF, x2, y2) {
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var curves = arcToBezier({
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px: x1,
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py: y1,
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cx: x2,
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cy: y2,
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rx: rx,
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ry: ry,
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xAxisRotation: angle,
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largeArcFlag: LAF,
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sweepFlag: SF,
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});
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return curves.reduce(function (prev, cur) {
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var x1 = cur.x1, y1 = cur.y1, x2 = cur.x2, y2 = cur.y2, x = cur.x, y = cur.y;
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prev.push(x1, y1, x2, y2, x, y);
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return prev;
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}, []);
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}
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//# sourceMappingURL=arc-2-cubic.js.map
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