Java tutorial
//package com.java2s; public class Main { /** * Function: arcToCurves * * Converts the given arc to a series of curves. */ public static double[] arcToCurves(double x0, double y0, double r1, double r2, double angle, double largeArcFlag, double sweepFlag, double x, double y) { x -= x0; y -= y0; if (r1 == 0 || r2 == 0) { return new double[0]; } double fS = sweepFlag; double psai = angle; r1 = Math.abs(r1); r2 = Math.abs(r2); double ctx = -x / 2; double cty = -y / 2; double cpsi = Math.cos(psai * Math.PI / 180); double spsi = Math.sin(psai * Math.PI / 180); double rxd = cpsi * ctx + spsi * cty; double ryd = -1 * spsi * ctx + cpsi * cty; double rxdd = rxd * rxd; double rydd = ryd * ryd; double r1x = r1 * r1; double r2y = r2 * r2; double lamda = rxdd / r1x + rydd / r2y; double sds; if (lamda > 1) { r1 = Math.sqrt(lamda) * r1; r2 = Math.sqrt(lamda) * r2; sds = 0; } else { double seif = 1; if (largeArcFlag == fS) { seif = -1; } sds = seif * Math.sqrt((r1x * r2y - r1x * rydd - r2y * rxdd) / (r1x * rydd + r2y * rxdd)); } double txd = sds * r1 * ryd / r2; double tyd = -1 * sds * r2 * rxd / r1; double tx = cpsi * txd - spsi * tyd + x / 2; double ty = spsi * txd + cpsi * tyd + y / 2; double rad = Math.atan2((ryd - tyd) / r2, (rxd - txd) / r1) - Math.atan2(0, 1); double s1 = (rad >= 0) ? rad : 2 * Math.PI + rad; rad = Math.atan2((-ryd - tyd) / r2, (-rxd - txd) / r1) - Math.atan2((ryd - tyd) / r2, (rxd - txd) / r1); double dr = (rad >= 0) ? rad : 2 * Math.PI + rad; if (fS == 0 && dr > 0) { dr -= 2 * Math.PI; } else if (fS != 0 && dr < 0) { dr += 2 * Math.PI; } double sse = dr * 2 / Math.PI; int seg = (int) Math.ceil(sse < 0 ? -1 * sse : sse); double segr = dr / seg; double t = 8 / 3 * Math.sin(segr / 4) * Math.sin(segr / 4) / Math.sin(segr / 2); double cpsir1 = cpsi * r1; double cpsir2 = cpsi * r2; double spsir1 = spsi * r1; double spsir2 = spsi * r2; double mc = Math.cos(s1); double ms = Math.sin(s1); double x2 = -t * (cpsir1 * ms + spsir2 * mc); double y2 = -t * (spsir1 * ms - cpsir2 * mc); double x3 = 0; double y3 = 0; double[] result = new double[seg * 6]; for (int n = 0; n < seg; ++n) { s1 += segr; mc = Math.cos(s1); ms = Math.sin(s1); x3 = cpsir1 * mc - spsir2 * ms + tx; y3 = spsir1 * mc + cpsir2 * ms + ty; double dx = -t * (cpsir1 * ms + spsir2 * mc); double dy = -t * (spsir1 * ms - cpsir2 * mc); // CurveTo updates x0, y0 so need to restore it int index = n * 6; result[index] = x2 + x0; result[index + 1] = y2 + y0; result[index + 2] = x3 - dx + x0; result[index + 3] = y3 - dy + y0; result[index + 4] = x3 + x0; result[index + 5] = y3 + y0; x2 = x3 + dx; y2 = y3 + dy; } return result; } }