(function() { var arcToSegmentsCache = { }, segmentToBezierCache = { }, _join = Array.prototype.join; /* Adapted from http://dxr.mozilla.org/mozilla-central/source/content/svg/content/src/nsSVGPathDataParser.cpp * by Andrea Bogazzi code is under MPL. if you don't have a copy of the license you can take it here * http://mozilla.org/MPL/2.0/ */ function arcToSegments(toX, toY, rx, ry, large, sweep, rotateX) { var argsString = _join.call(arguments); if (arcToSegmentsCache[argsString]) { return arcToSegmentsCache[argsString]; } var PI = Math.PI, th = rotateX * PI / 180, sinTh = Math.sin(th), cosTh = Math.cos(th), fromX = 0, fromY = 0; rx = Math.abs(rx); ry = Math.abs(ry); var px = -cosTh * toX * 0.5 - sinTh * toY * 0.5, py = -cosTh * toY * 0.5 + sinTh * toX * 0.5, rx2 = rx * rx, ry2 = ry * ry, py2 = py * py, px2 = px * px, pl = rx2 * ry2 - rx2 * py2 - ry2 * px2, root = 0; if (pl < 0) { var s = Math.sqrt(1 - pl/(rx2 * ry2)); rx *= s; ry *= s; } else { root = (large === sweep ? -1.0 : 1.0) * Math.sqrt( pl /(rx2 * py2 + ry2 * px2)); } var cx = root * rx * py / ry, cy = -root * ry * px / rx, cx1 = cosTh * cx - sinTh * cy + toX * 0.5, cy1 = sinTh * cx + cosTh * cy + toY * 0.5, mTheta = calcVectorAngle(1, 0, (px - cx) / rx, (py - cy) / ry), dtheta = calcVectorAngle((px - cx) / rx, (py - cy) / ry, (-px - cx) / rx, (-py - cy) / ry); if (sweep === 0 && dtheta > 0) { dtheta -= 2 * PI; } else if (sweep === 1 && dtheta < 0) { dtheta += 2 * PI; } // Convert into cubic bezier segments <= 90deg var segments = Math.ceil(Math.abs(dtheta / PI * 2)), result = [], mDelta = dtheta / segments, mT = 8 / 3 * Math.sin(mDelta / 4) * Math.sin(mDelta / 4) / Math.sin(mDelta / 2), th3 = mTheta + mDelta; for (var i = 0; i < segments; i++) { result[i] = segmentToBezier(mTheta, th3, cosTh, sinTh, rx, ry, cx1, cy1, mT, fromX, fromY); fromX = result[i][4]; fromY = result[i][5]; mTheta = th3; th3 += mDelta; } arcToSegmentsCache[argsString] = result; return result; } function segmentToBezier(th2, th3, cosTh, sinTh, rx, ry, cx1, cy1, mT, fromX, fromY) { var argsString2 = _join.call(arguments); if (segmentToBezierCache[argsString2]) { return segmentToBezierCache[argsString2]; } var costh2 = Math.cos(th2), sinth2 = Math.sin(th2), costh3 = Math.cos(th3), sinth3 = Math.sin(th3), toX = cosTh * rx * costh3 - sinTh * ry * sinth3 + cx1, toY = sinTh * rx * costh3 + cosTh * ry * sinth3 + cy1, cp1X = fromX + mT * ( - cosTh * rx * sinth2 - sinTh * ry * costh2), cp1Y = fromY + mT * ( - sinTh * rx * sinth2 + cosTh * ry * costh2), cp2X = toX + mT * ( cosTh * rx * sinth3 + sinTh * ry * costh3), cp2Y = toY + mT * ( sinTh * rx * sinth3 - cosTh * ry * costh3); segmentToBezierCache[argsString2] = [ cp1X, cp1Y, cp2X, cp2Y, toX, toY ]; return segmentToBezierCache[argsString2]; } /* * Private */ function calcVectorAngle(ux, uy, vx, vy) { var ta = Math.atan2(uy, ux), tb = Math.atan2(vy, vx); if (tb >= ta) { return tb - ta; } else { return 2 * Math.PI - (ta - tb); } } /** * Draws arc * @param {CanvasRenderingContext2D} ctx * @param {Number} fx * @param {Number} fy * @param {Array} coords */ fabric.util.drawArc = function(ctx, fx, fy, coords) { var rx = coords[0], ry = coords[1], rot = coords[2], large = coords[3], sweep = coords[4], tx = coords[5], ty = coords[6], segs = [[ ], [ ], [ ], [ ]], segsNorm = arcToSegments(tx - fx, ty - fy, rx, ry, large, sweep, rot); for (var i = 0, len = segsNorm.length; i < len; i++) { segs[i][0] = segsNorm[i][0] + fx; segs[i][1] = segsNorm[i][1] + fy; segs[i][2] = segsNorm[i][2] + fx; segs[i][3] = segsNorm[i][3] + fy; segs[i][4] = segsNorm[i][4] + fx; segs[i][5] = segsNorm[i][5] + fy; ctx.bezierCurveTo.apply(ctx, segs[i]); } }; })();