(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 sum_three(alen, a, blen, b, clen, c, tmp, out) { return sum(sum(alen, a, blen, b, tmp), tmp, clen, c, out); } // scale_expansion_zeroelim routine from oritinal code function scale(elen, e, b, h) { let Q, sum, hh, product1, product0; let bvirt, c, ahi, alo, bhi, blo; c = splitter * b; bhi = c - (c - b); blo = b - bhi; let enow = e[0]; Q = enow * b; c = splitter * enow; ahi = c - (c - enow); alo = enow - ahi; hh = alo * blo - (Q - ahi * bhi - alo * bhi - ahi * blo); let hindex = 0; if (hh !== 0) { h[hindex++] = hh; } for (let i = 1; i < elen; i++) { enow = e[i]; product1 = enow * b; c = splitter * enow; ahi = c - (c - enow); alo = enow - ahi; product0 = alo * blo - (product1 - ahi * bhi - alo * bhi - ahi * blo); sum = Q + product0; bvirt = sum - Q; hh = Q - (sum - bvirt) + (product0 - bvirt); if (hh !== 0) { h[hindex++] = hh; } Q = product1 + sum; hh = sum - (Q - product1); if (hh !== 0) { h[hindex++] = hh; } } if (Q !== 0 || hindex === 0) { h[hindex++] = Q; } return hindex; } function negate(elen, e) { for (let i = 0; i < elen; i++) e[i] = -e[i]; return elen; } 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 isperrboundA = (16 + 224 * epsilon) * epsilon; const isperrboundB = (5 + 72 * epsilon) * epsilon; const isperrboundC = (71 + 1408 * epsilon) * epsilon * epsilon; const ab = vec(4); const bc = vec(4); const cd = vec(4); const de = vec(4); const ea = vec(4); const ac = vec(4); const bd = vec(4); const ce = vec(4); const da = vec(4); const eb = vec(4); const abc = vec(24); const bcd = vec(24); const cde = vec(24); const dea = vec(24); const eab = vec(24); const abd = vec(24); const bce = vec(24); const cda = vec(24); const deb = vec(24); const eac = vec(24); const adet = vec(1152); const bdet = vec(1152); const cdet = vec(1152); const ddet = vec(1152); const edet = vec(1152); const abdet = vec(2304); const cddet = vec(2304); const cdedet = vec(3456); const deter = vec(5760); const _8 = vec(8); const _8b = vec(8); const _8c = vec(8); const _16 = vec(16); const _24 = vec(24); const _48 = vec(48); const _48b = vec(48); const _96 = vec(96); const _192 = vec(192); const _384x = vec(384); const _384y = vec(384); const _384z = vec(384); const _768 = vec(768); function sum_three_scale(a, b, c, az, bz, cz, out) { return sum_three( scale(4, a, az, _8), _8, scale(4, b, bz, _8b), _8b, scale(4, c, cz, _8c), _8c, _16, out); } function liftexact(alen, a, blen, b, clen, c, dlen, d, x, y, z, out) { const len = sum( sum(alen, a, blen, b, _48), _48, negate(sum(clen, c, dlen, d, _48b), _48b), _48b, _96); return sum_three( scale(scale(len, _96, x, _192), _192, x, _384x), _384x, scale(scale(len, _96, y, _192), _192, y, _384y), _384y, scale(scale(len, _96, z, _192), _192, z, _384z), _384z, _768, out); } function insphereexact(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez) { let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3; s1 = ax * by; c = splitter * ax; ahi = c - (c - ax); alo = ax - ahi; c = splitter * by; bhi = c - (c - by); blo = by - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = bx * ay; c = splitter * bx; ahi = c - (c - bx); alo = bx - ahi; c = splitter * ay; bhi = c - (c - ay); blo = ay - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; ab[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; ab[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; ab[2] = _j - (u3 - bvirt) + (_i - bvirt); ab[3] = u3; s1 = bx * cy; c = splitter * bx; ahi = c - (c - bx); alo = bx - ahi; c = splitter * cy; bhi = c - (c - cy); blo = cy - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = cx * by; c = splitter * cx; ahi = c - (c - cx); alo = cx - ahi; c = splitter * by; bhi = c - (c - by); blo = by - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; bc[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; bc[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; bc[2] = _j - (u3 - bvirt) + (_i - bvirt); bc[3] = u3; s1 = cx * dy; c = splitter * cx; ahi = c - (c - cx); alo = cx - ahi; c = splitter * dy; bhi = c - (c - dy); blo = dy - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = dx * cy; c = splitter * dx; ahi = c - (c - dx); alo = dx - ahi; c = splitter * cy; bhi = c - (c - cy); blo = cy - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; cd[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; cd[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; cd[2] = _j - (u3 - bvirt) + (_i - bvirt); cd[3] = u3; s1 = dx * ey; c = splitter * dx; ahi = c - (c - dx); alo = dx - ahi; c = splitter * ey; bhi = c - (c - ey); blo = ey - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = ex * dy; c = splitter * ex; ahi = c - (c - ex); alo = ex - ahi; c = splitter * dy; bhi = c - (c - dy); blo = dy - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; de[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; de[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; de[2] = _j - (u3 - bvirt) + (_i - bvirt); de[3] = u3; s1 = ex * ay; c = splitter * ex; ahi = c - (c - ex); alo = ex - ahi; c = splitter * ay; bhi = c - (c - ay); blo = ay - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = ax * ey; c = splitter * ax; ahi = c - (c - ax); alo = ax - ahi; c = splitter * ey; bhi = c - (c - ey); blo = ey - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; ea[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; ea[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; ea[2] = _j - (u3 - bvirt) + (_i - bvirt); ea[3] = u3; s1 = ax * cy; c = splitter * ax; ahi = c - (c - ax); alo = ax - ahi; c = splitter * cy; bhi = c - (c - cy); blo = cy - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = cx * ay; c = splitter * cx; ahi = c - (c - cx); alo = cx - ahi; c = splitter * ay; bhi = c - (c - ay); blo = ay - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; ac[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; ac[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; ac[2] = _j - (u3 - bvirt) + (_i - bvirt); ac[3] = u3; s1 = bx * dy; c = splitter * bx; ahi = c - (c - bx); alo = bx - ahi; c = splitter * dy; bhi = c - (c - dy); blo = dy - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = dx * by; c = splitter * dx; ahi = c - (c - dx); alo = dx - ahi; c = splitter * by; bhi = c - (c - by); blo = by - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; bd[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; bd[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; bd[2] = _j - (u3 - bvirt) + (_i - bvirt); bd[3] = u3; s1 = cx * ey; c = splitter * cx; ahi = c - (c - cx); alo = cx - ahi; c = splitter * ey; bhi = c - (c - ey); blo = ey - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = ex * cy; c = splitter * ex; ahi = c - (c - ex); alo = ex - ahi; c = splitter * cy; bhi = c - (c - cy); blo = cy - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; ce[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; ce[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; ce[2] = _j - (u3 - bvirt) + (_i - bvirt); ce[3] = u3; s1 = dx * ay; c = splitter * dx; ahi = c - (c - dx); alo = dx - ahi; c = splitter * ay; bhi = c - (c - ay); blo = ay - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = ax * dy; c = splitter * ax; ahi = c - (c - ax); alo = ax - ahi; c = splitter * dy; bhi = c - (c - dy); blo = dy - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; da[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; da[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; da[2] = _j - (u3 - bvirt) + (_i - bvirt); da[3] = u3; s1 = ex * by; c = splitter * ex; ahi = c - (c - ex); alo = ex - ahi; c = splitter * by; bhi = c - (c - by); blo = by - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = bx * ey; c = splitter * bx; ahi = c - (c - bx); alo = bx - ahi; c = splitter * ey; bhi = c - (c - ey); blo = ey - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; eb[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; eb[1] = _0 - (_i + bvirt) + (bvirt - t1); u3 = _j + _i; bvirt = u3 - _j; eb[2] = _j - (u3 - bvirt) + (_i - bvirt); eb[3] = u3; const abclen = sum_three_scale(ab, bc, ac, cz, az, -bz, abc); const bcdlen = sum_three_scale(bc, cd, bd, dz, bz, -cz, bcd); const cdelen = sum_three_scale(cd, de, ce, ez, cz, -dz, cde); const dealen = sum_three_scale(de, ea, da, az, dz, -ez, dea); const eablen = sum_three_scale(ea, ab, eb, bz, ez, -az, eab); const abdlen = sum_three_scale(ab, bd, da, dz, az, bz, abd); const bcelen = sum_three_scale(bc, ce, eb, ez, bz, cz, bce); const cdalen = sum_three_scale(cd, da, ac, az, cz, dz, cda); const deblen = sum_three_scale(de, eb, bd, bz, dz, ez, deb); const eaclen = sum_three_scale(ea, ac, ce, cz, ez, az, eac); const deterlen = sum_three( liftexact(cdelen, cde, bcelen, bce, deblen, deb, bcdlen, bcd, ax, ay, az, adet), adet, liftexact(dealen, dea, cdalen, cda, eaclen, eac, cdelen, cde, bx, by, bz, bdet), bdet, sum_three( liftexact(eablen, eab, deblen, deb, abdlen, abd, dealen, dea, cx, cy, cz, cdet), cdet, liftexact(abclen, abc, eaclen, eac, bcelen, bce, eablen, eab, dx, dy, dz, ddet), ddet, liftexact(bcdlen, bcd, abdlen, abd, cdalen, cda, abclen, abc, ex, ey, ez, edet), edet, cddet, cdedet), cdedet, abdet, deter); return deter[deterlen - 1]; } const xdet = vec(96); const ydet = vec(96); const zdet = vec(96); const fin = vec(1152); function liftadapt(a, b, c, az, bz, cz, x, y, z, out) { const len = sum_three_scale(a, b, c, az, bz, cz, _24); return sum_three( scale(scale(len, _24, x, _48), _48, x, xdet), xdet, scale(scale(len, _24, y, _48), _48, y, ydet), ydet, scale(scale(len, _24, z, _48), _48, z, zdet), zdet, _192, out); } function insphereadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez, permanent) { let ab3, bc3, cd3, da3, ac3, bd3; let aextail, bextail, cextail, dextail; let aeytail, beytail, ceytail, deytail; let aeztail, beztail, ceztail, deztail; let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0; const aex = ax - ex; const bex = bx - ex; const cex = cx - ex; const dex = dx - ex; const aey = ay - ey; const bey = by - ey; const cey = cy - ey; const dey = dy - ey; const aez = az - ez; const bez = bz - ez; const cez = cz - ez; const dez = dz - ez; s1 = aex * bey; c = splitter * aex; ahi = c - (c - aex); alo = aex - ahi; c = splitter * bey; bhi = c - (c - bey); blo = bey - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = bex * aey; c = splitter * bex; ahi = c - (c - bex); alo = bex - ahi; c = splitter * aey; bhi = c - (c - aey); blo = aey - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; ab[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; ab[1] = _0 - (_i + bvirt) + (bvirt - t1); ab3 = _j + _i; bvirt = ab3 - _j; ab[2] = _j - (ab3 - bvirt) + (_i - bvirt); ab[3] = ab3; s1 = bex * cey; c = splitter * bex; ahi = c - (c - bex); alo = bex - ahi; c = splitter * cey; bhi = c - (c - cey); blo = cey - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = cex * bey; c = splitter * cex; ahi = c - (c - cex); alo = cex - ahi; c = splitter * bey; bhi = c - (c - bey); blo = bey - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; bc[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; bc[1] = _0 - (_i + bvirt) + (bvirt - t1); bc3 = _j + _i; bvirt = bc3 - _j; bc[2] = _j - (bc3 - bvirt) + (_i - bvirt); bc[3] = bc3; s1 = cex * dey; c = splitter * cex; ahi = c - (c - cex); alo = cex - ahi; c = splitter * dey; bhi = c - (c - dey); blo = dey - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = dex * cey; c = splitter * dex; ahi = c - (c - dex); alo = dex - ahi; c = splitter * cey; bhi = c - (c - cey); blo = cey - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; cd[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; cd[1] = _0 - (_i + bvirt) + (bvirt - t1); cd3 = _j + _i; bvirt = cd3 - _j; cd[2] = _j - (cd3 - bvirt) + (_i - bvirt); cd[3] = cd3; s1 = dex * aey; c = splitter * dex; ahi = c - (c - dex); alo = dex - ahi; c = splitter * aey; bhi = c - (c - aey); blo = aey - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = aex * dey; c = splitter * aex; ahi = c - (c - aex); alo = aex - ahi; c = splitter * dey; bhi = c - (c - dey); blo = dey - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; da[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; da[1] = _0 - (_i + bvirt) + (bvirt - t1); da3 = _j + _i; bvirt = da3 - _j; da[2] = _j - (da3 - bvirt) + (_i - bvirt); da[3] = da3; s1 = aex * cey; c = splitter * aex; ahi = c - (c - aex); alo = aex - ahi; c = splitter * cey; bhi = c - (c - cey); blo = cey - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = cex * aey; c = splitter * cex; ahi = c - (c - cex); alo = cex - ahi; c = splitter * aey; bhi = c - (c - aey); blo = aey - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; ac[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; ac[1] = _0 - (_i + bvirt) + (bvirt - t1); ac3 = _j + _i; bvirt = ac3 - _j; ac[2] = _j - (ac3 - bvirt) + (_i - bvirt); ac[3] = ac3; s1 = bex * dey; c = splitter * bex; ahi = c - (c - bex); alo = bex - ahi; c = splitter * dey; bhi = c - (c - dey); blo = dey - bhi; s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); t1 = dex * bey; c = splitter * dex; ahi = c - (c - dex); alo = dex - ahi; c = splitter * bey; bhi = c - (c - bey); blo = bey - bhi; t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); _i = s0 - t0; bvirt = s0 - _i; bd[0] = s0 - (_i + bvirt) + (bvirt - t0); _j = s1 + _i; bvirt = _j - s1; _0 = s1 - (_j - bvirt) + (_i - bvirt); _i = _0 - t1; bvirt = _0 - _i; bd[1] = _0 - (_i + bvirt) + (bvirt - t1); bd3 = _j + _i; bvirt = bd3 - _j; bd[2] = _j - (bd3 - bvirt) + (_i - bvirt); bd[3] = bd3; const finlen = sum( sum( negate(liftadapt(bc, cd, bd, dez, bez, -cez, aex, aey, aez, adet), adet), adet, liftadapt(cd, da, ac, aez, cez, dez, bex, bey, bez, bdet), bdet, abdet), abdet, sum( negate(liftadapt(da, ab, bd, bez, dez, aez, cex, cey, cez, cdet), cdet), cdet, liftadapt(ab, bc, ac, cez, aez, -bez, dex, dey, dez, ddet), ddet, cddet), cddet, fin); let det = estimate(finlen, fin); let errbound = isperrboundB * permanent; if (det >= errbound || -det >= errbound) { return det; } bvirt = ax - aex; aextail = ax - (aex + bvirt) + (bvirt - ex); bvirt = ay - aey; aeytail = ay - (aey + bvirt) + (bvirt - ey); bvirt = az - aez; aeztail = az - (aez + bvirt) + (bvirt - ez); bvirt = bx - bex; bextail = bx - (bex + bvirt) + (bvirt - ex); bvirt = by - bey; beytail = by - (bey + bvirt) + (bvirt - ey); bvirt = bz - bez; beztail = bz - (bez + bvirt) + (bvirt - ez); bvirt = cx - cex; cextail = cx - (cex + bvirt) + (bvirt - ex); bvirt = cy - cey; ceytail = cy - (cey + bvirt) + (bvirt - ey); bvirt = cz - cez; ceztail = cz - (cez + bvirt) + (bvirt - ez); bvirt = dx - dex; dextail = dx - (dex + bvirt) + (bvirt - ex); bvirt = dy - dey; deytail = dy - (dey + bvirt) + (bvirt - ey); bvirt = dz - dez; deztail = dz - (dez + bvirt) + (bvirt - ez); if (aextail === 0 && aeytail === 0 && aeztail === 0 && bextail === 0 && beytail === 0 && beztail === 0 && cextail === 0 && ceytail === 0 && ceztail === 0 && dextail === 0 && deytail === 0 && deztail === 0) { return det; } errbound = isperrboundC * permanent + resulterrbound * Math.abs(det); const abeps = (aex * beytail + bey * aextail) - (aey * bextail + bex * aeytail); const bceps = (bex * ceytail + cey * bextail) - (bey * cextail + cex * beytail); const cdeps = (cex * deytail + dey * cextail) - (cey * dextail + dex * ceytail); const daeps = (dex * aeytail + aey * dextail) - (dey * aextail + aex * deytail); const aceps = (aex * ceytail + cey * aextail) - (aey * cextail + cex * aeytail); const bdeps = (bex * deytail + dey * bextail) - (bey * dextail + dex * beytail); det += (((bex * bex + bey * bey + bez * bez) * ((cez * daeps + dez * aceps + aez * cdeps) + (ceztail * da3 + deztail * ac3 + aeztail * cd3)) + (dex * dex + dey * dey + dez * dez) * ((aez * bceps - bez * aceps + cez * abeps) + (aeztail * bc3 - beztail * ac3 + ceztail * ab3))) - ((aex * aex + aey * aey + aez * aez) * ((bez * cdeps - cez * bdeps + dez * bceps) + (beztail * cd3 - ceztail * bd3 + deztail * bc3)) + (cex * cex + cey * cey + cez * cez) * ((dez * abeps + aez * bdeps + bez * daeps) + (deztail * ab3 + aeztail * bd3 + beztail * da3)))) + 2 * (((bex * bextail + bey * beytail + bez * beztail) * (cez * da3 + dez * ac3 + aez * cd3) + (dex * dextail + dey * deytail + dez * deztail) * (aez * bc3 - bez * ac3 + cez * ab3)) - ((aex * aextail + aey * aeytail + aez * aeztail) * (bez * cd3 - cez * bd3 + dez * bc3) + (cex * cextail + cey * ceytail + cez * ceztail) * (dez * ab3 + aez * bd3 + bez * da3))); if (det >= errbound || -det >= errbound) { return det; } return insphereexact(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez); } function insphere(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez) { const aex = ax - ex; const bex = bx - ex; const cex = cx - ex; const dex = dx - ex; const aey = ay - ey; const bey = by - ey; const cey = cy - ey; const dey = dy - ey; const aez = az - ez; const bez = bz - ez; const cez = cz - ez; const dez = dz - ez; const aexbey = aex * bey; const bexaey = bex * aey; const ab = aexbey - bexaey; const bexcey = bex * cey; const cexbey = cex * bey; const bc = bexcey - cexbey; const cexdey = cex * dey; const dexcey = dex * cey; const cd = cexdey - dexcey; const dexaey = dex * aey; const aexdey = aex * dey; const da = dexaey - aexdey; const aexcey = aex * cey; const cexaey = cex * aey; const ac = aexcey - cexaey; const bexdey = bex * dey; const dexbey = dex * bey; const bd = bexdey - dexbey; const alift = aex * aex + aey * aey + aez * aez; const blift = bex * bex + bey * bey + bez * bez; const clift = cex * cex + cey * cey + cez * cez; const dlift = dex * dex + dey * dey + dez * dez; const det = (clift * (dez * ab + aez * bd + bez * da) - dlift * (aez * bc - bez * ac + cez * ab)) + (alift * (bez * cd - cez * bd + dez * bc) - blift * (cez * da + dez * ac + aez * cd)); const aezplus = Math.abs(aez); const bezplus = Math.abs(bez); const cezplus = Math.abs(cez); const dezplus = Math.abs(dez); const aexbeyplus = Math.abs(aexbey) + Math.abs(bexaey); const bexceyplus = Math.abs(bexcey) + Math.abs(cexbey); const cexdeyplus = Math.abs(cexdey) + Math.abs(dexcey); const dexaeyplus = Math.abs(dexaey) + Math.abs(aexdey); const aexceyplus = Math.abs(aexcey) + Math.abs(cexaey); const bexdeyplus = Math.abs(bexdey) + Math.abs(dexbey); const permanent = (cexdeyplus * bezplus + bexdeyplus * cezplus + bexceyplus * dezplus) * alift + (dexaeyplus * cezplus + aexceyplus * dezplus + cexdeyplus * aezplus) * blift + (aexbeyplus * dezplus + bexdeyplus * aezplus + dexaeyplus * bezplus) * clift + (bexceyplus * aezplus + aexceyplus * bezplus + aexbeyplus * cezplus) * dlift; const errbound = isperrboundA * permanent; if (det > errbound || -det > errbound) { return det; } return -insphereadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez, permanent); } function inspherefast(pax, pay, paz, pbx, pby, pbz, pcx, pcy, pcz, pdx, pdy, pdz, pex, pey, pez) { const aex = pax - pex; const bex = pbx - pex; const cex = pcx - pex; const dex = pdx - pex; const aey = pay - pey; const bey = pby - pey; const cey = pcy - pey; const dey = pdy - pey; const aez = paz - pez; const bez = pbz - pez; const cez = pcz - pez; const dez = pdz - pez; const ab = aex * bey - bex * aey; const bc = bex * cey - cex * bey; const cd = cex * dey - dex * cey; const da = dex * aey - aex * dey; const ac = aex * cey - cex * aey; const bd = bex * dey - dex * bey; const abc = aez * bc - bez * ac + cez * ab; const bcd = bez * cd - cez * bd + dez * bc; const cda = cez * da + dez * ac + aez * cd; const dab = dez * ab + aez * bd + bez * da; const alift = aex * aex + aey * aey + aez * aez; const blift = bex * bex + bey * bey + bez * bez; const clift = cex * cex + cey * cey + cez * cez; const dlift = dex * dex + dey * dey + dez * dez; return (clift * dab - dlift * abc) + (alift * bcd - blift * cda); } exports.insphere = insphere; exports.inspherefast = inspherefast; }));