(function (global, factory) { typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) : typeof define === 'function' && define.amd ? define(['exports'], factory) : (global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.predicates = {})); })(this, (function (exports) { 'use strict'; const epsilon = 1.1102230246251565e-16; const splitter = 134217729; const resulterrbound = (3 + 8 * epsilon) * epsilon; // fast_expansion_sum_zeroelim routine from oritinal code function sum(elen, e, flen, f, h) { let Q, Qnew, hh, bvirt; let enow = e[0]; let fnow = f[0]; let eindex = 0; let findex = 0; if ((fnow > enow) === (fnow > -enow)) { Q = enow; enow = e[++eindex]; } else { Q = fnow; fnow = f[++findex]; } let hindex = 0; if (eindex < elen && findex < flen) { if ((fnow > enow) === (fnow > -enow)) { Qnew = enow + Q; hh = Q - (Qnew - enow); enow = e[++eindex]; } else { Qnew = fnow + Q; hh = Q - (Qnew - fnow); fnow = f[++findex]; } Q = Qnew; if (hh !== 0) { h[hindex++] = hh; } while (eindex < elen && findex < flen) { if ((fnow > enow) === (fnow > -enow)) { Qnew = Q + enow; bvirt = Qnew - Q; hh = Q - (Qnew - bvirt) + (enow - bvirt); enow = e[++eindex]; } else { Qnew = Q + fnow; bvirt = Qnew - Q; hh = Q - (Qnew - bvirt) + (fnow - bvirt); fnow = f[++findex]; } Q = Qnew; if (hh !== 0) { h[hindex++] = hh; } } } while (eindex < elen) { Qnew = Q + enow; bvirt = Qnew - Q; hh = Q - (Qnew - bvirt) + (enow - bvirt); enow = e[++eindex]; Q = Qnew; if (hh !== 0) { h[hindex++] = hh; } } while (findex < flen) { Qnew = Q + fnow; bvirt = Qnew - Q; hh = Q - (Qnew - bvirt) + (fnow - bvirt); fnow = f[++findex]; Q = Qnew; if (hh !== 0) { h[hindex++] = hh; } } if (Q !== 0 || hindex === 0) { h[hindex++] = Q; } return hindex; } function estimate(elen, e) { let Q = e[0]; for (let i = 1; i < elen; i++) Q += e[i]; return Q; } function vec(n) { return new Float64Array(n); } const ccwerrboundA = (3 + 16 * epsilon) * epsilon; const ccwerrboundB = (2 + 12 * epsilon) * epsilon; const ccwerrboundC = (9 + 64 * epsilon) * epsilon * epsilon; const B = vec(4); const C1 = vec(8); const C2 = vec(12); const D = vec(16); const u = vec(4); function orient2dadapt(ax, ay, bx, by, cx, cy, detsum) { let acxtail, acytail, bcxtail, bcytail; let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3; const acx = ax - cx; const bcx = bx - cx; const acy = ay - cy; const bcy = by - cy; s1 = acx * bcy; c = splitter * acx; ahi = c - (c - acx); alo = acx - ahi; c = splitter * bcy; bhi = c - (c - bcy); blo = bcy - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = acy * bcx; c = splitter * acy; ahi = c - (c - acy); alo = acy - ahi; c = splitter * bcx; bhi = c - (c - bcx); blo = bcx - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; B[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; B[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; B[2] = _j - (u3 - bvirt) + (_i - bvirt); B[3] = u3; let det = estimate(4, B); let errbound = ccwerrboundB * detsum; if (det >= errbound || -det >= errbound) { return det; } bvirt = ax - acx; acxtail = ax - (acx + bvirt) + (bvirt - cx); bvirt = bx - bcx; bcxtail = bx - (bcx + bvirt) + (bvirt - cx); bvirt = ay - acy; acytail = ay - (acy + bvirt) + (bvirt - cy); bvirt = by - bcy; bcytail = by - (bcy + bvirt) + (bvirt - cy); if (acxtail === 0 && acytail === 0 && bcxtail === 0 && bcytail === 0) { return det; } errbound = ccwerrboundC * detsum + resulterrbound * Math.abs(det); det += (acx * bcytail + bcy * acxtail) - (acy * bcxtail + bcx * acytail); if (det >= errbound || -det >= errbound) return det; s1 = acxtail * bcy; c = splitter * acxtail; ahi = c - (c - acxtail); alo = acxtail - ahi; c = splitter * bcy; bhi = c - (c - bcy); blo = bcy - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = acytail * bcx; c = splitter * acytail; ahi = c - (c - acytail); alo = acytail - ahi; c = splitter * bcx; bhi = c - (c - bcx); blo = bcx - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; u[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; u[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; u[2] = _j - (u3 - bvirt) + (_i - bvirt); u[3] = u3; const C1len = sum(4, B, 4, u, C1); s1 = acx * bcytail; c = splitter * acx; ahi = c - (c - acx); alo = acx - ahi; c = splitter * bcytail; bhi = c - (c - bcytail); blo = bcytail - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = acy * bcxtail; c = splitter * acy; ahi = c - (c - acy); alo = acy - ahi; c = splitter * bcxtail; bhi = c - (c - bcxtail); blo = bcxtail - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; u[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; u[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; u[2] = _j - (u3 - bvirt) + (_i - bvirt); u[3] = u3; const C2len = sum(C1len, C1, 4, u, C2); s1 = acxtail * bcytail; c = splitter * acxtail; ahi = c - (c - acxtail); alo = acxtail - ahi; c = splitter * bcytail; bhi = c - (c - bcytail); blo = bcytail - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = acytail * bcxtail; c = splitter * acytail; ahi = c - (c - acytail); alo = acytail - ahi; c = splitter * bcxtail; bhi = c - (c - bcxtail); blo = bcxtail - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; u[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; u[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; u[2] = _j - (u3 - bvirt) + (_i - bvirt); u[3] = u3; const Dlen = sum(C2len, C2, 4, u, D); return D[Dlen - 1]; } function orient2d(ax, ay, bx, by, cx, cy) { const detleft = (ay - cy) * (bx - cx); const detright = (ax - cx) * (by - cy); const det = detleft - detright; const detsum = Math.abs(detleft + detright); if (Math.abs(det) >= ccwerrboundA * detsum) return det; return -orient2dadapt(ax, ay, bx, by, cx, cy, detsum); } function orient2dfast(ax, ay, bx, by, cx, cy) { return (ay - cy) * (bx - cx) - (ax - cx) * (by - cy); } exports.orient2d = orient2d; exports.orient2dfast = orient2dfast; }));