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(function (global, factory) { |
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typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) : |
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typeof define === 'function' && define.amd ? define(['exports'], factory) : |
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(global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.predicates = {})); |
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})(this, (function (exports) { 'use strict'; |
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|
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const epsilon = 1.1102230246251565e-16; |
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const splitter = 134217729; |
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const resulterrbound = (3 + 8 * epsilon) * epsilon; |
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function sum(elen, e, flen, f, h) { |
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let Q, Qnew, hh, bvirt; |
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let enow = e[0]; |
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let fnow = f[0]; |
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let eindex = 0; |
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let findex = 0; |
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if ((fnow > enow) === (fnow > -enow)) { |
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Q = enow; |
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enow = e[++eindex]; |
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} else { |
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Q = fnow; |
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fnow = f[++findex]; |
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} |
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let hindex = 0; |
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if (eindex < elen && findex < flen) { |
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if ((fnow > enow) === (fnow > -enow)) { |
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Qnew = enow + Q; |
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hh = Q - (Qnew - enow); |
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enow = e[++eindex]; |
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} else { |
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Qnew = fnow + Q; |
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hh = Q - (Qnew - fnow); |
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fnow = f[++findex]; |
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} |
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Q = Qnew; |
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if (hh !== 0) { |
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h[hindex++] = hh; |
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} |
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while (eindex < elen && findex < flen) { |
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if ((fnow > enow) === (fnow > -enow)) { |
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Qnew = Q + enow; |
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bvirt = Qnew - Q; |
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hh = Q - (Qnew - bvirt) + (enow - bvirt); |
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enow = e[++eindex]; |
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} else { |
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Qnew = Q + fnow; |
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bvirt = Qnew - Q; |
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hh = Q - (Qnew - bvirt) + (fnow - bvirt); |
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fnow = f[++findex]; |
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} |
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Q = Qnew; |
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if (hh !== 0) { |
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h[hindex++] = hh; |
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} |
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} |
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} |
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while (eindex < elen) { |
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Qnew = Q + enow; |
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bvirt = Qnew - Q; |
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hh = Q - (Qnew - bvirt) + (enow - bvirt); |
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enow = e[++eindex]; |
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Q = Qnew; |
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if (hh !== 0) { |
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h[hindex++] = hh; |
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} |
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} |
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while (findex < flen) { |
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Qnew = Q + fnow; |
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bvirt = Qnew - Q; |
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hh = Q - (Qnew - bvirt) + (fnow - bvirt); |
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fnow = f[++findex]; |
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Q = Qnew; |
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if (hh !== 0) { |
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h[hindex++] = hh; |
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} |
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} |
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if (Q !== 0 || hindex === 0) { |
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h[hindex++] = Q; |
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} |
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return hindex; |
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} |
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function sum_three(alen, a, blen, b, clen, c, tmp, out) { |
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return sum(sum(alen, a, blen, b, tmp), tmp, clen, c, out); |
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} |
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function scale(elen, e, b, h) { |
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let Q, sum, hh, product1, product0; |
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let bvirt, c, ahi, alo, bhi, blo; |
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c = splitter * b; |
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bhi = c - (c - b); |
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blo = b - bhi; |
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let enow = e[0]; |
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Q = enow * b; |
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c = splitter * enow; |
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ahi = c - (c - enow); |
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alo = enow - ahi; |
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hh = alo * blo - (Q - ahi * bhi - alo * bhi - ahi * blo); |
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let hindex = 0; |
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if (hh !== 0) { |
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h[hindex++] = hh; |
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} |
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for (let i = 1; i < elen; i++) { |
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enow = e[i]; |
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product1 = enow * b; |
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c = splitter * enow; |
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ahi = c - (c - enow); |
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alo = enow - ahi; |
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product0 = alo * blo - (product1 - ahi * bhi - alo * bhi - ahi * blo); |
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sum = Q + product0; |
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bvirt = sum - Q; |
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hh = Q - (sum - bvirt) + (product0 - bvirt); |
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if (hh !== 0) { |
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h[hindex++] = hh; |
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} |
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Q = product1 + sum; |
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hh = sum - (Q - product1); |
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if (hh !== 0) { |
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h[hindex++] = hh; |
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} |
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} |
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if (Q !== 0 || hindex === 0) { |
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h[hindex++] = Q; |
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} |
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return hindex; |
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} |
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function negate(elen, e) { |
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for (let i = 0; i < elen; i++) e[i] = -e[i]; |
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return elen; |
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} |
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function estimate(elen, e) { |
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let Q = e[0]; |
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for (let i = 1; i < elen; i++) Q += e[i]; |
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return Q; |
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} |
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function vec(n) { |
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return new Float64Array(n); |
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} |
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const ccwerrboundA = (3 + 16 * epsilon) * epsilon; |
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const ccwerrboundB = (2 + 12 * epsilon) * epsilon; |
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const ccwerrboundC = (9 + 64 * epsilon) * epsilon * epsilon; |
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const B = vec(4); |
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const C1 = vec(8); |
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const C2 = vec(12); |
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const D = vec(16); |
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const u$2 = vec(4); |
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function orient2dadapt(ax, ay, bx, by, cx, cy, detsum) { |
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let acxtail, acytail, bcxtail, bcytail; |
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let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3; |
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const acx = ax - cx; |
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const bcx = bx - cx; |
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const acy = ay - cy; |
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const bcy = by - cy; |
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s1 = acx * bcy; |
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c = splitter * acx; |
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ahi = c - (c - acx); |
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alo = acx - ahi; |
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c = splitter * bcy; |
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bhi = c - (c - bcy); |
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blo = bcy - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = acy * bcx; |
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c = splitter * acy; |
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ahi = c - (c - acy); |
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alo = acy - ahi; |
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c = splitter * bcx; |
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bhi = c - (c - bcx); |
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blo = bcx - bhi; |
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t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
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_i = s0 - t0; |
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bvirt = s0 - _i; |
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B[0] = s0 - (_i + bvirt) + (bvirt - t0); |
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_j = s1 + _i; |
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bvirt = _j - s1; |
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_0 = s1 - (_j - bvirt) + (_i - bvirt); |
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_i = _0 - t1; |
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bvirt = _0 - _i; |
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B[1] = _0 - (_i + bvirt) + (bvirt - t1); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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B[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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B[3] = u3; |
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let det = estimate(4, B); |
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let errbound = ccwerrboundB * detsum; |
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if (det >= errbound || -det >= errbound) { |
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return det; |
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} |
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bvirt = ax - acx; |
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acxtail = ax - (acx + bvirt) + (bvirt - cx); |
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bvirt = bx - bcx; |
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bcxtail = bx - (bcx + bvirt) + (bvirt - cx); |
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bvirt = ay - acy; |
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acytail = ay - (acy + bvirt) + (bvirt - cy); |
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bvirt = by - bcy; |
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bcytail = by - (bcy + bvirt) + (bvirt - cy); |
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if (acxtail === 0 && acytail === 0 && bcxtail === 0 && bcytail === 0) { |
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return det; |
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} |
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errbound = ccwerrboundC * detsum + resulterrbound * Math.abs(det); |
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det += (acx * bcytail + bcy * acxtail) - (acy * bcxtail + bcx * acytail); |
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if (det >= errbound || -det >= errbound) return det; |
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s1 = acxtail * bcy; |
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c = splitter * acxtail; |
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ahi = c - (c - acxtail); |
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alo = acxtail - ahi; |
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c = splitter * bcy; |
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bhi = c - (c - bcy); |
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blo = bcy - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = acytail * bcx; |
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c = splitter * acytail; |
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ahi = c - (c - acytail); |
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alo = acytail - ahi; |
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c = splitter * bcx; |
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bhi = c - (c - bcx); |
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blo = bcx - bhi; |
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t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
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_i = s0 - t0; |
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bvirt = s0 - _i; |
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u$2[0] = s0 - (_i + bvirt) + (bvirt - t0); |
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_j = s1 + _i; |
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bvirt = _j - s1; |
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_0 = s1 - (_j - bvirt) + (_i - bvirt); |
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_i = _0 - t1; |
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bvirt = _0 - _i; |
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u$2[1] = _0 - (_i + bvirt) + (bvirt - t1); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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u$2[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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u$2[3] = u3; |
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const C1len = sum(4, B, 4, u$2, C1); |
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s1 = acx * bcytail; |
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c = splitter * acx; |
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ahi = c - (c - acx); |
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alo = acx - ahi; |
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c = splitter * bcytail; |
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bhi = c - (c - bcytail); |
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blo = bcytail - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = acy * bcxtail; |
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c = splitter * acy; |
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ahi = c - (c - acy); |
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alo = acy - ahi; |
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c = splitter * bcxtail; |
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bhi = c - (c - bcxtail); |
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blo = bcxtail - bhi; |
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t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
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_i = s0 - t0; |
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bvirt = s0 - _i; |
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u$2[0] = s0 - (_i + bvirt) + (bvirt - t0); |
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_j = s1 + _i; |
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bvirt = _j - s1; |
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_0 = s1 - (_j - bvirt) + (_i - bvirt); |
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_i = _0 - t1; |
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bvirt = _0 - _i; |
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u$2[1] = _0 - (_i + bvirt) + (bvirt - t1); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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u$2[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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u$2[3] = u3; |
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const C2len = sum(C1len, C1, 4, u$2, C2); |
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s1 = acxtail * bcytail; |
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c = splitter * acxtail; |
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ahi = c - (c - acxtail); |
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alo = acxtail - ahi; |
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c = splitter * bcytail; |
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bhi = c - (c - bcytail); |
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blo = bcytail - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = acytail * bcxtail; |
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c = splitter * acytail; |
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ahi = c - (c - acytail); |
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alo = acytail - ahi; |
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c = splitter * bcxtail; |
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bhi = c - (c - bcxtail); |
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blo = bcxtail - bhi; |
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t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
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_i = s0 - t0; |
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bvirt = s0 - _i; |
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u$2[0] = s0 - (_i + bvirt) + (bvirt - t0); |
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_j = s1 + _i; |
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bvirt = _j - s1; |
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_0 = s1 - (_j - bvirt) + (_i - bvirt); |
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_i = _0 - t1; |
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bvirt = _0 - _i; |
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u$2[1] = _0 - (_i + bvirt) + (bvirt - t1); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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u$2[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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u$2[3] = u3; |
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const Dlen = sum(C2len, C2, 4, u$2, D); |
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return D[Dlen - 1]; |
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} |
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function orient2d(ax, ay, bx, by, cx, cy) { |
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const detleft = (ay - cy) * (bx - cx); |
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const detright = (ax - cx) * (by - cy); |
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const det = detleft - detright; |
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const detsum = Math.abs(detleft + detright); |
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if (Math.abs(det) >= ccwerrboundA * detsum) return det; |
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return -orient2dadapt(ax, ay, bx, by, cx, cy, detsum); |
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} |
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function orient2dfast(ax, ay, bx, by, cx, cy) { |
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return (ay - cy) * (bx - cx) - (ax - cx) * (by - cy); |
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} |
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const o3derrboundA = (7 + 56 * epsilon) * epsilon; |
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const o3derrboundB = (3 + 28 * epsilon) * epsilon; |
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const o3derrboundC = (26 + 288 * epsilon) * epsilon * epsilon; |
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const bc$2 = vec(4); |
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const ca$1 = vec(4); |
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const ab$2 = vec(4); |
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const at_b = vec(4); |
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const at_c = vec(4); |
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const bt_c = vec(4); |
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const bt_a = vec(4); |
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const ct_a = vec(4); |
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const ct_b = vec(4); |
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const bct$1 = vec(8); |
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const cat$1 = vec(8); |
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const abt$1 = vec(8); |
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const u$1 = vec(4); |
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const _8$2 = vec(8); |
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const _8b$1 = vec(8); |
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const _16$2 = vec(8); |
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const _12 = vec(12); |
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let fin$2 = vec(192); |
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let fin2$1 = vec(192); |
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function finadd$1(finlen, alen, a) { |
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finlen = sum(finlen, fin$2, alen, a, fin2$1); |
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const tmp = fin$2; fin$2 = fin2$1; fin2$1 = tmp; |
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return finlen; |
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} |
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function tailinit(xtail, ytail, ax, ay, bx, by, a, b) { |
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let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3, negate; |
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if (xtail === 0) { |
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if (ytail === 0) { |
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a[0] = 0; |
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b[0] = 0; |
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return 1; |
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} else { |
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negate = -ytail; |
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s1 = negate * ax; |
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c = splitter * negate; |
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ahi = c - (c - negate); |
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alo = negate - ahi; |
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c = splitter * ax; |
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bhi = c - (c - ax); |
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blo = ax - bhi; |
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a[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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a[1] = s1; |
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s1 = ytail * bx; |
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c = splitter * ytail; |
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ahi = c - (c - ytail); |
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alo = ytail - ahi; |
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c = splitter * bx; |
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bhi = c - (c - bx); |
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blo = bx - bhi; |
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b[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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b[1] = s1; |
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return 2; |
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} |
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} else { |
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if (ytail === 0) { |
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s1 = xtail * ay; |
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c = splitter * xtail; |
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ahi = c - (c - xtail); |
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alo = xtail - ahi; |
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c = splitter * ay; |
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bhi = c - (c - ay); |
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blo = ay - bhi; |
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a[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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a[1] = s1; |
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negate = -xtail; |
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s1 = negate * by; |
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c = splitter * negate; |
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ahi = c - (c - negate); |
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alo = negate - ahi; |
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c = splitter * by; |
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bhi = c - (c - by); |
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blo = by - bhi; |
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b[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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b[1] = s1; |
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return 2; |
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} else { |
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s1 = xtail * ay; |
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c = splitter * xtail; |
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ahi = c - (c - xtail); |
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alo = xtail - ahi; |
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c = splitter * ay; |
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bhi = c - (c - ay); |
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blo = ay - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = ytail * ax; |
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c = splitter * ytail; |
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ahi = c - (c - ytail); |
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alo = ytail - ahi; |
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c = splitter * ax; |
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bhi = c - (c - ax); |
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blo = ax - bhi; |
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t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
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_i = s0 - t0; |
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bvirt = s0 - _i; |
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a[0] = s0 - (_i + bvirt) + (bvirt - t0); |
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_j = s1 + _i; |
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bvirt = _j - s1; |
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_0 = s1 - (_j - bvirt) + (_i - bvirt); |
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_i = _0 - t1; |
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bvirt = _0 - _i; |
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a[1] = _0 - (_i + bvirt) + (bvirt - t1); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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a[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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a[3] = u3; |
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s1 = ytail * bx; |
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c = splitter * ytail; |
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ahi = c - (c - ytail); |
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alo = ytail - ahi; |
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c = splitter * bx; |
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bhi = c - (c - bx); |
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blo = bx - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = xtail * by; |
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c = splitter * xtail; |
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ahi = c - (c - xtail); |
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alo = xtail - ahi; |
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c = splitter * by; |
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bhi = c - (c - by); |
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blo = by - bhi; |
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t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
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_i = s0 - t0; |
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bvirt = s0 - _i; |
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b[0] = s0 - (_i + bvirt) + (bvirt - t0); |
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_j = s1 + _i; |
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bvirt = _j - s1; |
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_0 = s1 - (_j - bvirt) + (_i - bvirt); |
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_i = _0 - t1; |
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bvirt = _0 - _i; |
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b[1] = _0 - (_i + bvirt) + (bvirt - t1); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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b[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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b[3] = u3; |
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return 4; |
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} |
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} |
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} |
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|
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function tailadd(finlen, a, b, k, z) { |
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let bvirt, c, ahi, alo, bhi, blo, _i, _j, _k, _0, s1, s0, u3; |
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s1 = a * b; |
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c = splitter * a; |
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ahi = c - (c - a); |
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alo = a - ahi; |
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c = splitter * b; |
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bhi = c - (c - b); |
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blo = b - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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c = splitter * k; |
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bhi = c - (c - k); |
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blo = k - bhi; |
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_i = s0 * k; |
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c = splitter * s0; |
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ahi = c - (c - s0); |
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alo = s0 - ahi; |
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u$1[0] = alo * blo - (_i - ahi * bhi - alo * bhi - ahi * blo); |
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_j = s1 * k; |
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c = splitter * s1; |
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ahi = c - (c - s1); |
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alo = s1 - ahi; |
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_0 = alo * blo - (_j - ahi * bhi - alo * bhi - ahi * blo); |
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_k = _i + _0; |
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bvirt = _k - _i; |
|
u$1[1] = _i - (_k - bvirt) + (_0 - bvirt); |
|
u3 = _j + _k; |
|
u$1[2] = _k - (u3 - _j); |
|
u$1[3] = u3; |
|
finlen = finadd$1(finlen, 4, u$1); |
|
if (z !== 0) { |
|
c = splitter * z; |
|
bhi = c - (c - z); |
|
blo = z - bhi; |
|
_i = s0 * z; |
|
c = splitter * s0; |
|
ahi = c - (c - s0); |
|
alo = s0 - ahi; |
|
u$1[0] = alo * blo - (_i - ahi * bhi - alo * bhi - ahi * blo); |
|
_j = s1 * z; |
|
c = splitter * s1; |
|
ahi = c - (c - s1); |
|
alo = s1 - ahi; |
|
_0 = alo * blo - (_j - ahi * bhi - alo * bhi - ahi * blo); |
|
_k = _i + _0; |
|
bvirt = _k - _i; |
|
u$1[1] = _i - (_k - bvirt) + (_0 - bvirt); |
|
u3 = _j + _k; |
|
u$1[2] = _k - (u3 - _j); |
|
u$1[3] = u3; |
|
finlen = finadd$1(finlen, 4, u$1); |
|
} |
|
return finlen; |
|
} |
|
|
|
function orient3dadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, permanent) { |
|
let finlen; |
|
let adxtail, bdxtail, cdxtail; |
|
let adytail, bdytail, cdytail; |
|
let adztail, bdztail, cdztail; |
|
let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3; |
|
|
|
const adx = ax - dx; |
|
const bdx = bx - dx; |
|
const cdx = cx - dx; |
|
const ady = ay - dy; |
|
const bdy = by - dy; |
|
const cdy = cy - dy; |
|
const adz = az - dz; |
|
const bdz = bz - dz; |
|
const cdz = cz - dz; |
|
|
|
s1 = bdx * cdy; |
|
c = splitter * bdx; |
|
ahi = c - (c - bdx); |
|
alo = bdx - ahi; |
|
c = splitter * cdy; |
|
bhi = c - (c - cdy); |
|
blo = cdy - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = cdx * bdy; |
|
c = splitter * cdx; |
|
ahi = c - (c - cdx); |
|
alo = cdx - ahi; |
|
c = splitter * bdy; |
|
bhi = c - (c - bdy); |
|
blo = bdy - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 - t0; |
|
bvirt = s0 - _i; |
|
bc$2[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$2[1] = _0 - (_i + bvirt) + (bvirt - t1); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
bc$2[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
bc$2[3] = u3; |
|
s1 = cdx * ady; |
|
c = splitter * cdx; |
|
ahi = c - (c - cdx); |
|
alo = cdx - ahi; |
|
c = splitter * ady; |
|
bhi = c - (c - ady); |
|
blo = ady - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = adx * cdy; |
|
c = splitter * adx; |
|
ahi = c - (c - adx); |
|
alo = adx - ahi; |
|
c = splitter * cdy; |
|
bhi = c - (c - cdy); |
|
blo = cdy - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 - t0; |
|
bvirt = s0 - _i; |
|
ca$1[0] = s0 - (_i + bvirt) + (bvirt - t0); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 - t1; |
|
bvirt = _0 - _i; |
|
ca$1[1] = _0 - (_i + bvirt) + (bvirt - t1); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
ca$1[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
ca$1[3] = u3; |
|
s1 = adx * bdy; |
|
c = splitter * adx; |
|
ahi = c - (c - adx); |
|
alo = adx - ahi; |
|
c = splitter * bdy; |
|
bhi = c - (c - bdy); |
|
blo = bdy - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = bdx * ady; |
|
c = splitter * bdx; |
|
ahi = c - (c - bdx); |
|
alo = bdx - ahi; |
|
c = splitter * ady; |
|
bhi = c - (c - ady); |
|
blo = ady - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 - t0; |
|
bvirt = s0 - _i; |
|
ab$2[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$2[1] = _0 - (_i + bvirt) + (bvirt - t1); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
ab$2[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
ab$2[3] = u3; |
|
|
|
finlen = sum( |
|
sum( |
|
scale(4, bc$2, adz, _8$2), _8$2, |
|
scale(4, ca$1, bdz, _8b$1), _8b$1, _16$2), _16$2, |
|
scale(4, ab$2, cdz, _8$2), _8$2, fin$2); |
|
|
|
let det = estimate(finlen, fin$2); |
|
let errbound = o3derrboundB * permanent; |
|
if (det >= errbound || -det >= errbound) { |
|
return det; |
|
} |
|
|
|
bvirt = ax - adx; |
|
adxtail = ax - (adx + bvirt) + (bvirt - dx); |
|
bvirt = bx - bdx; |
|
bdxtail = bx - (bdx + bvirt) + (bvirt - dx); |
|
bvirt = cx - cdx; |
|
cdxtail = cx - (cdx + bvirt) + (bvirt - dx); |
|
bvirt = ay - ady; |
|
adytail = ay - (ady + bvirt) + (bvirt - dy); |
|
bvirt = by - bdy; |
|
bdytail = by - (bdy + bvirt) + (bvirt - dy); |
|
bvirt = cy - cdy; |
|
cdytail = cy - (cdy + bvirt) + (bvirt - dy); |
|
bvirt = az - adz; |
|
adztail = az - (adz + bvirt) + (bvirt - dz); |
|
bvirt = bz - bdz; |
|
bdztail = bz - (bdz + bvirt) + (bvirt - dz); |
|
bvirt = cz - cdz; |
|
cdztail = cz - (cdz + bvirt) + (bvirt - dz); |
|
|
|
if (adxtail === 0 && bdxtail === 0 && cdxtail === 0 && |
|
adytail === 0 && bdytail === 0 && cdytail === 0 && |
|
adztail === 0 && bdztail === 0 && cdztail === 0) { |
|
return det; |
|
} |
|
|
|
errbound = o3derrboundC * permanent + resulterrbound * Math.abs(det); |
|
det += |
|
adz * (bdx * cdytail + cdy * bdxtail - (bdy * cdxtail + cdx * bdytail)) + adztail * (bdx * cdy - bdy * cdx) + |
|
bdz * (cdx * adytail + ady * cdxtail - (cdy * adxtail + adx * cdytail)) + bdztail * (cdx * ady - cdy * adx) + |
|
cdz * (adx * bdytail + bdy * adxtail - (ady * bdxtail + bdx * adytail)) + cdztail * (adx * bdy - ady * bdx); |
|
if (det >= errbound || -det >= errbound) { |
|
return det; |
|
} |
|
|
|
const at_len = tailinit(adxtail, adytail, bdx, bdy, cdx, cdy, at_b, at_c); |
|
const bt_len = tailinit(bdxtail, bdytail, cdx, cdy, adx, ady, bt_c, bt_a); |
|
const ct_len = tailinit(cdxtail, cdytail, adx, ady, bdx, bdy, ct_a, ct_b); |
|
|
|
const bctlen = sum(bt_len, bt_c, ct_len, ct_b, bct$1); |
|
finlen = finadd$1(finlen, scale(bctlen, bct$1, adz, _16$2), _16$2); |
|
|
|
const catlen = sum(ct_len, ct_a, at_len, at_c, cat$1); |
|
finlen = finadd$1(finlen, scale(catlen, cat$1, bdz, _16$2), _16$2); |
|
|
|
const abtlen = sum(at_len, at_b, bt_len, bt_a, abt$1); |
|
finlen = finadd$1(finlen, scale(abtlen, abt$1, cdz, _16$2), _16$2); |
|
|
|
if (adztail !== 0) { |
|
finlen = finadd$1(finlen, scale(4, bc$2, adztail, _12), _12); |
|
finlen = finadd$1(finlen, scale(bctlen, bct$1, adztail, _16$2), _16$2); |
|
} |
|
if (bdztail !== 0) { |
|
finlen = finadd$1(finlen, scale(4, ca$1, bdztail, _12), _12); |
|
finlen = finadd$1(finlen, scale(catlen, cat$1, bdztail, _16$2), _16$2); |
|
} |
|
if (cdztail !== 0) { |
|
finlen = finadd$1(finlen, scale(4, ab$2, cdztail, _12), _12); |
|
finlen = finadd$1(finlen, scale(abtlen, abt$1, cdztail, _16$2), _16$2); |
|
} |
|
|
|
if (adxtail !== 0) { |
|
if (bdytail !== 0) { |
|
finlen = tailadd(finlen, adxtail, bdytail, cdz, cdztail); |
|
} |
|
if (cdytail !== 0) { |
|
finlen = tailadd(finlen, -adxtail, cdytail, bdz, bdztail); |
|
} |
|
} |
|
if (bdxtail !== 0) { |
|
if (cdytail !== 0) { |
|
finlen = tailadd(finlen, bdxtail, cdytail, adz, adztail); |
|
} |
|
if (adytail !== 0) { |
|
finlen = tailadd(finlen, -bdxtail, adytail, cdz, cdztail); |
|
} |
|
} |
|
if (cdxtail !== 0) { |
|
if (adytail !== 0) { |
|
finlen = tailadd(finlen, cdxtail, adytail, bdz, bdztail); |
|
} |
|
if (bdytail !== 0) { |
|
finlen = tailadd(finlen, -cdxtail, bdytail, adz, adztail); |
|
} |
|
} |
|
|
|
return fin$2[finlen - 1]; |
|
} |
|
|
|
function orient3d(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz) { |
|
const adx = ax - dx; |
|
const bdx = bx - dx; |
|
const cdx = cx - dx; |
|
const ady = ay - dy; |
|
const bdy = by - dy; |
|
const cdy = cy - dy; |
|
const adz = az - dz; |
|
const bdz = bz - dz; |
|
const cdz = cz - dz; |
|
|
|
const bdxcdy = bdx * cdy; |
|
const cdxbdy = cdx * bdy; |
|
|
|
const cdxady = cdx * ady; |
|
const adxcdy = adx * cdy; |
|
|
|
const adxbdy = adx * bdy; |
|
const bdxady = bdx * ady; |
|
|
|
const det = |
|
adz * (bdxcdy - cdxbdy) + |
|
bdz * (cdxady - adxcdy) + |
|
cdz * (adxbdy - bdxady); |
|
|
|
const permanent = |
|
(Math.abs(bdxcdy) + Math.abs(cdxbdy)) * Math.abs(adz) + |
|
(Math.abs(cdxady) + Math.abs(adxcdy)) * Math.abs(bdz) + |
|
(Math.abs(adxbdy) + Math.abs(bdxady)) * Math.abs(cdz); |
|
|
|
const errbound = o3derrboundA * permanent; |
|
if (det > errbound || -det > errbound) { |
|
return det; |
|
} |
|
|
|
return orient3dadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, permanent); |
|
} |
|
|
|
function orient3dfast(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz) { |
|
const adx = ax - dx; |
|
const bdx = bx - dx; |
|
const cdx = cx - dx; |
|
const ady = ay - dy; |
|
const bdy = by - dy; |
|
const cdy = cy - dy; |
|
const adz = az - dz; |
|
const bdz = bz - dz; |
|
const cdz = cz - dz; |
|
|
|
return adx * (bdy * cdz - bdz * cdy) + |
|
bdx * (cdy * adz - cdz * ady) + |
|
cdx * (ady * bdz - adz * bdy); |
|
} |
|
|
|
const iccerrboundA = (10 + 96 * epsilon) * epsilon; |
|
const iccerrboundB = (4 + 48 * epsilon) * epsilon; |
|
const iccerrboundC = (44 + 576 * epsilon) * epsilon * epsilon; |
|
|
|
const bc$1 = vec(4); |
|
const ca = vec(4); |
|
const ab$1 = vec(4); |
|
const aa = vec(4); |
|
const bb = vec(4); |
|
const cc = vec(4); |
|
const u = vec(4); |
|
const v = vec(4); |
|
const axtbc = vec(8); |
|
const aytbc = vec(8); |
|
const bxtca = vec(8); |
|
const bytca = vec(8); |
|
const cxtab = vec(8); |
|
const cytab = vec(8); |
|
const abt = vec(8); |
|
const bct = vec(8); |
|
const cat = vec(8); |
|
const abtt = vec(4); |
|
const bctt = vec(4); |
|
const catt = vec(4); |
|
|
|
const _8$1 = vec(8); |
|
const _16$1 = vec(16); |
|
const _16b = vec(16); |
|
const _16c = vec(16); |
|
const _32 = vec(32); |
|
const _32b = vec(32); |
|
const _48$1 = vec(48); |
|
const _64 = vec(64); |
|
|
|
let fin$1 = vec(1152); |
|
let fin2 = vec(1152); |
|
|
|
function finadd(finlen, a, alen) { |
|
finlen = sum(finlen, fin$1, a, alen, fin2); |
|
const tmp = fin$1; fin$1 = fin2; fin2 = tmp; |
|
return finlen; |
|
} |
|
|
|
function incircleadapt(ax, ay, bx, by, cx, cy, dx, dy, permanent) { |
|
let finlen; |
|
let adxtail, bdxtail, cdxtail, adytail, bdytail, cdytail; |
|
let axtbclen, aytbclen, bxtcalen, bytcalen, cxtablen, cytablen; |
|
let abtlen, bctlen, catlen; |
|
let abttlen, bcttlen, cattlen; |
|
let n1, n0; |
|
|
|
let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3; |
|
|
|
const adx = ax - dx; |
|
const bdx = bx - dx; |
|
const cdx = cx - dx; |
|
const ady = ay - dy; |
|
const bdy = by - dy; |
|
const cdy = cy - dy; |
|
|
|
s1 = bdx * cdy; |
|
c = splitter * bdx; |
|
ahi = c - (c - bdx); |
|
alo = bdx - ahi; |
|
c = splitter * cdy; |
|
bhi = c - (c - cdy); |
|
blo = cdy - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = cdx * bdy; |
|
c = splitter * cdx; |
|
ahi = c - (c - cdx); |
|
alo = cdx - ahi; |
|
c = splitter * bdy; |
|
bhi = c - (c - bdy); |
|
blo = bdy - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 - t0; |
|
bvirt = s0 - _i; |
|
bc$1[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[1] = _0 - (_i + bvirt) + (bvirt - t1); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
bc$1[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
bc$1[3] = u3; |
|
s1 = cdx * ady; |
|
c = splitter * cdx; |
|
ahi = c - (c - cdx); |
|
alo = cdx - ahi; |
|
c = splitter * ady; |
|
bhi = c - (c - ady); |
|
blo = ady - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = adx * cdy; |
|
c = splitter * adx; |
|
ahi = c - (c - adx); |
|
alo = adx - ahi; |
|
c = splitter * cdy; |
|
bhi = c - (c - cdy); |
|
blo = cdy - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 - t0; |
|
bvirt = s0 - _i; |
|
ca[0] = s0 - (_i + bvirt) + (bvirt - t0); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 - t1; |
|
bvirt = _0 - _i; |
|
ca[1] = _0 - (_i + bvirt) + (bvirt - t1); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
ca[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
ca[3] = u3; |
|
s1 = adx * bdy; |
|
c = splitter * adx; |
|
ahi = c - (c - adx); |
|
alo = adx - ahi; |
|
c = splitter * bdy; |
|
bhi = c - (c - bdy); |
|
blo = bdy - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = bdx * ady; |
|
c = splitter * bdx; |
|
ahi = c - (c - bdx); |
|
alo = bdx - ahi; |
|
c = splitter * ady; |
|
bhi = c - (c - ady); |
|
blo = ady - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 - t0; |
|
bvirt = s0 - _i; |
|
ab$1[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[1] = _0 - (_i + bvirt) + (bvirt - t1); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
ab$1[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
ab$1[3] = u3; |
|
|
|
finlen = sum( |
|
sum( |
|
sum( |
|
scale(scale(4, bc$1, adx, _8$1), _8$1, adx, _16$1), _16$1, |
|
scale(scale(4, bc$1, ady, _8$1), _8$1, ady, _16b), _16b, _32), _32, |
|
sum( |
|
scale(scale(4, ca, bdx, _8$1), _8$1, bdx, _16$1), _16$1, |
|
scale(scale(4, ca, bdy, _8$1), _8$1, bdy, _16b), _16b, _32b), _32b, _64), _64, |
|
sum( |
|
scale(scale(4, ab$1, cdx, _8$1), _8$1, cdx, _16$1), _16$1, |
|
scale(scale(4, ab$1, cdy, _8$1), _8$1, cdy, _16b), _16b, _32), _32, fin$1); |
|
|
|
let det = estimate(finlen, fin$1); |
|
let errbound = iccerrboundB * permanent; |
|
if (det >= errbound || -det >= errbound) { |
|
return det; |
|
} |
|
|
|
bvirt = ax - adx; |
|
adxtail = ax - (adx + bvirt) + (bvirt - dx); |
|
bvirt = ay - ady; |
|
adytail = ay - (ady + bvirt) + (bvirt - dy); |
|
bvirt = bx - bdx; |
|
bdxtail = bx - (bdx + bvirt) + (bvirt - dx); |
|
bvirt = by - bdy; |
|
bdytail = by - (bdy + bvirt) + (bvirt - dy); |
|
bvirt = cx - cdx; |
|
cdxtail = cx - (cdx + bvirt) + (bvirt - dx); |
|
bvirt = cy - cdy; |
|
cdytail = cy - (cdy + bvirt) + (bvirt - dy); |
|
if (adxtail === 0 && bdxtail === 0 && cdxtail === 0 && adytail === 0 && bdytail === 0 && cdytail === 0) { |
|
return det; |
|
} |
|
|
|
errbound = iccerrboundC * permanent + resulterrbound * Math.abs(det); |
|
det += ((adx * adx + ady * ady) * ((bdx * cdytail + cdy * bdxtail) - (bdy * cdxtail + cdx * bdytail)) + |
|
2 * (adx * adxtail + ady * adytail) * (bdx * cdy - bdy * cdx)) + |
|
((bdx * bdx + bdy * bdy) * ((cdx * adytail + ady * cdxtail) - (cdy * adxtail + adx * cdytail)) + |
|
2 * (bdx * bdxtail + bdy * bdytail) * (cdx * ady - cdy * adx)) + |
|
((cdx * cdx + cdy * cdy) * ((adx * bdytail + bdy * adxtail) - (ady * bdxtail + bdx * adytail)) + |
|
2 * (cdx * cdxtail + cdy * cdytail) * (adx * bdy - ady * bdx)); |
|
|
|
if (det >= errbound || -det >= errbound) { |
|
return det; |
|
} |
|
|
|
if (bdxtail !== 0 || bdytail !== 0 || cdxtail !== 0 || cdytail !== 0) { |
|
s1 = adx * adx; |
|
c = splitter * adx; |
|
ahi = c - (c - adx); |
|
alo = adx - ahi; |
|
s0 = alo * alo - (s1 - ahi * ahi - (ahi + ahi) * alo); |
|
t1 = ady * ady; |
|
c = splitter * ady; |
|
ahi = c - (c - ady); |
|
alo = ady - ahi; |
|
t0 = alo * alo - (t1 - ahi * ahi - (ahi + ahi) * alo); |
|
_i = s0 + t0; |
|
bvirt = _i - s0; |
|
aa[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 + t1; |
|
bvirt = _i - _0; |
|
aa[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
aa[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
aa[3] = u3; |
|
} |
|
if (cdxtail !== 0 || cdytail !== 0 || adxtail !== 0 || adytail !== 0) { |
|
s1 = bdx * bdx; |
|
c = splitter * bdx; |
|
ahi = c - (c - bdx); |
|
alo = bdx - ahi; |
|
s0 = alo * alo - (s1 - ahi * ahi - (ahi + ahi) * alo); |
|
t1 = bdy * bdy; |
|
c = splitter * bdy; |
|
ahi = c - (c - bdy); |
|
alo = bdy - ahi; |
|
t0 = alo * alo - (t1 - ahi * ahi - (ahi + ahi) * alo); |
|
_i = s0 + t0; |
|
bvirt = _i - s0; |
|
bb[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 + t1; |
|
bvirt = _i - _0; |
|
bb[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
bb[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
bb[3] = u3; |
|
} |
|
if (adxtail !== 0 || adytail !== 0 || bdxtail !== 0 || bdytail !== 0) { |
|
s1 = cdx * cdx; |
|
c = splitter * cdx; |
|
ahi = c - (c - cdx); |
|
alo = cdx - ahi; |
|
s0 = alo * alo - (s1 - ahi * ahi - (ahi + ahi) * alo); |
|
t1 = cdy * cdy; |
|
c = splitter * cdy; |
|
ahi = c - (c - cdy); |
|
alo = cdy - ahi; |
|
t0 = alo * alo - (t1 - ahi * ahi - (ahi + ahi) * alo); |
|
_i = s0 + t0; |
|
bvirt = _i - s0; |
|
cc[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 + t1; |
|
bvirt = _i - _0; |
|
cc[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
cc[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
cc[3] = u3; |
|
} |
|
|
|
if (adxtail !== 0) { |
|
axtbclen = scale(4, bc$1, adxtail, axtbc); |
|
finlen = finadd(finlen, sum_three( |
|
scale(axtbclen, axtbc, 2 * adx, _16$1), _16$1, |
|
scale(scale(4, cc, adxtail, _8$1), _8$1, bdy, _16b), _16b, |
|
scale(scale(4, bb, adxtail, _8$1), _8$1, -cdy, _16c), _16c, _32, _48$1), _48$1); |
|
} |
|
if (adytail !== 0) { |
|
aytbclen = scale(4, bc$1, adytail, aytbc); |
|
finlen = finadd(finlen, sum_three( |
|
scale(aytbclen, aytbc, 2 * ady, _16$1), _16$1, |
|
scale(scale(4, bb, adytail, _8$1), _8$1, cdx, _16b), _16b, |
|
scale(scale(4, cc, adytail, _8$1), _8$1, -bdx, _16c), _16c, _32, _48$1), _48$1); |
|
} |
|
if (bdxtail !== 0) { |
|
bxtcalen = scale(4, ca, bdxtail, bxtca); |
|
finlen = finadd(finlen, sum_three( |
|
scale(bxtcalen, bxtca, 2 * bdx, _16$1), _16$1, |
|
scale(scale(4, aa, bdxtail, _8$1), _8$1, cdy, _16b), _16b, |
|
scale(scale(4, cc, bdxtail, _8$1), _8$1, -ady, _16c), _16c, _32, _48$1), _48$1); |
|
} |
|
if (bdytail !== 0) { |
|
bytcalen = scale(4, ca, bdytail, bytca); |
|
finlen = finadd(finlen, sum_three( |
|
scale(bytcalen, bytca, 2 * bdy, _16$1), _16$1, |
|
scale(scale(4, cc, bdytail, _8$1), _8$1, adx, _16b), _16b, |
|
scale(scale(4, aa, bdytail, _8$1), _8$1, -cdx, _16c), _16c, _32, _48$1), _48$1); |
|
} |
|
if (cdxtail !== 0) { |
|
cxtablen = scale(4, ab$1, cdxtail, cxtab); |
|
finlen = finadd(finlen, sum_three( |
|
scale(cxtablen, cxtab, 2 * cdx, _16$1), _16$1, |
|
scale(scale(4, bb, cdxtail, _8$1), _8$1, ady, _16b), _16b, |
|
scale(scale(4, aa, cdxtail, _8$1), _8$1, -bdy, _16c), _16c, _32, _48$1), _48$1); |
|
} |
|
if (cdytail !== 0) { |
|
cytablen = scale(4, ab$1, cdytail, cytab); |
|
finlen = finadd(finlen, sum_three( |
|
scale(cytablen, cytab, 2 * cdy, _16$1), _16$1, |
|
scale(scale(4, aa, cdytail, _8$1), _8$1, bdx, _16b), _16b, |
|
scale(scale(4, bb, cdytail, _8$1), _8$1, -adx, _16c), _16c, _32, _48$1), _48$1); |
|
} |
|
|
|
if (adxtail !== 0 || adytail !== 0) { |
|
if (bdxtail !== 0 || bdytail !== 0 || cdxtail !== 0 || cdytail !== 0) { |
|
s1 = bdxtail * cdy; |
|
c = splitter * bdxtail; |
|
ahi = c - (c - bdxtail); |
|
alo = bdxtail - ahi; |
|
c = splitter * cdy; |
|
bhi = c - (c - cdy); |
|
blo = cdy - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = bdx * cdytail; |
|
c = splitter * bdx; |
|
ahi = c - (c - bdx); |
|
alo = bdx - ahi; |
|
c = splitter * cdytail; |
|
bhi = c - (c - cdytail); |
|
blo = cdytail - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 + t0; |
|
bvirt = _i - s0; |
|
u[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 + t1; |
|
bvirt = _i - _0; |
|
u[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
u[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
u[3] = u3; |
|
s1 = cdxtail * -bdy; |
|
c = splitter * cdxtail; |
|
ahi = c - (c - cdxtail); |
|
alo = cdxtail - ahi; |
|
c = splitter * -bdy; |
|
bhi = c - (c - -bdy); |
|
blo = -bdy - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = cdx * -bdytail; |
|
c = splitter * cdx; |
|
ahi = c - (c - cdx); |
|
alo = cdx - ahi; |
|
c = splitter * -bdytail; |
|
bhi = c - (c - -bdytail); |
|
blo = -bdytail - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 + t0; |
|
bvirt = _i - s0; |
|
v[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 + t1; |
|
bvirt = _i - _0; |
|
v[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
v[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
v[3] = u3; |
|
bctlen = sum(4, u, 4, v, bct); |
|
s1 = bdxtail * cdytail; |
|
c = splitter * bdxtail; |
|
ahi = c - (c - bdxtail); |
|
alo = bdxtail - ahi; |
|
c = splitter * cdytail; |
|
bhi = c - (c - cdytail); |
|
blo = cdytail - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = cdxtail * bdytail; |
|
c = splitter * cdxtail; |
|
ahi = c - (c - cdxtail); |
|
alo = cdxtail - ahi; |
|
c = splitter * bdytail; |
|
bhi = c - (c - bdytail); |
|
blo = bdytail - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 - t0; |
|
bvirt = s0 - _i; |
|
bctt[0] = s0 - (_i + bvirt) + (bvirt - t0); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 - t1; |
|
bvirt = _0 - _i; |
|
bctt[1] = _0 - (_i + bvirt) + (bvirt - t1); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
bctt[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
bctt[3] = u3; |
|
bcttlen = 4; |
|
} else { |
|
bct[0] = 0; |
|
bctlen = 1; |
|
bctt[0] = 0; |
|
bcttlen = 1; |
|
} |
|
if (adxtail !== 0) { |
|
const len = scale(bctlen, bct, adxtail, _16c); |
|
finlen = finadd(finlen, sum( |
|
scale(axtbclen, axtbc, adxtail, _16$1), _16$1, |
|
scale(len, _16c, 2 * adx, _32), _32, _48$1), _48$1); |
|
|
|
const len2 = scale(bcttlen, bctt, adxtail, _8$1); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8$1, 2 * adx, _16$1), _16$1, |
|
scale(len2, _8$1, adxtail, _16b), _16b, |
|
scale(len, _16c, adxtail, _32), _32, _32b, _64), _64); |
|
|
|
if (bdytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, cc, adxtail, _8$1), _8$1, bdytail, _16$1), _16$1); |
|
} |
|
if (cdytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, bb, -adxtail, _8$1), _8$1, cdytail, _16$1), _16$1); |
|
} |
|
} |
|
if (adytail !== 0) { |
|
const len = scale(bctlen, bct, adytail, _16c); |
|
finlen = finadd(finlen, sum( |
|
scale(aytbclen, aytbc, adytail, _16$1), _16$1, |
|
scale(len, _16c, 2 * ady, _32), _32, _48$1), _48$1); |
|
|
|
const len2 = scale(bcttlen, bctt, adytail, _8$1); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8$1, 2 * ady, _16$1), _16$1, |
|
scale(len2, _8$1, adytail, _16b), _16b, |
|
scale(len, _16c, adytail, _32), _32, _32b, _64), _64); |
|
} |
|
} |
|
if (bdxtail !== 0 || bdytail !== 0) { |
|
if (cdxtail !== 0 || cdytail !== 0 || adxtail !== 0 || adytail !== 0) { |
|
s1 = cdxtail * ady; |
|
c = splitter * cdxtail; |
|
ahi = c - (c - cdxtail); |
|
alo = cdxtail - ahi; |
|
c = splitter * ady; |
|
bhi = c - (c - ady); |
|
blo = ady - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = cdx * adytail; |
|
c = splitter * cdx; |
|
ahi = c - (c - cdx); |
|
alo = cdx - ahi; |
|
c = splitter * adytail; |
|
bhi = c - (c - adytail); |
|
blo = adytail - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 + t0; |
|
bvirt = _i - s0; |
|
u[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 + t1; |
|
bvirt = _i - _0; |
|
u[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
u[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
u[3] = u3; |
|
n1 = -cdy; |
|
n0 = -cdytail; |
|
s1 = adxtail * n1; |
|
c = splitter * adxtail; |
|
ahi = c - (c - adxtail); |
|
alo = adxtail - ahi; |
|
c = splitter * n1; |
|
bhi = c - (c - n1); |
|
blo = n1 - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = adx * n0; |
|
c = splitter * adx; |
|
ahi = c - (c - adx); |
|
alo = adx - ahi; |
|
c = splitter * n0; |
|
bhi = c - (c - n0); |
|
blo = n0 - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 + t0; |
|
bvirt = _i - s0; |
|
v[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 + t1; |
|
bvirt = _i - _0; |
|
v[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
v[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
v[3] = u3; |
|
catlen = sum(4, u, 4, v, cat); |
|
s1 = cdxtail * adytail; |
|
c = splitter * cdxtail; |
|
ahi = c - (c - cdxtail); |
|
alo = cdxtail - ahi; |
|
c = splitter * adytail; |
|
bhi = c - (c - adytail); |
|
blo = adytail - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = adxtail * cdytail; |
|
c = splitter * adxtail; |
|
ahi = c - (c - adxtail); |
|
alo = adxtail - ahi; |
|
c = splitter * cdytail; |
|
bhi = c - (c - cdytail); |
|
blo = cdytail - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 - t0; |
|
bvirt = s0 - _i; |
|
catt[0] = s0 - (_i + bvirt) + (bvirt - t0); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 - t1; |
|
bvirt = _0 - _i; |
|
catt[1] = _0 - (_i + bvirt) + (bvirt - t1); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
catt[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
catt[3] = u3; |
|
cattlen = 4; |
|
} else { |
|
cat[0] = 0; |
|
catlen = 1; |
|
catt[0] = 0; |
|
cattlen = 1; |
|
} |
|
if (bdxtail !== 0) { |
|
const len = scale(catlen, cat, bdxtail, _16c); |
|
finlen = finadd(finlen, sum( |
|
scale(bxtcalen, bxtca, bdxtail, _16$1), _16$1, |
|
scale(len, _16c, 2 * bdx, _32), _32, _48$1), _48$1); |
|
|
|
const len2 = scale(cattlen, catt, bdxtail, _8$1); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8$1, 2 * bdx, _16$1), _16$1, |
|
scale(len2, _8$1, bdxtail, _16b), _16b, |
|
scale(len, _16c, bdxtail, _32), _32, _32b, _64), _64); |
|
|
|
if (cdytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, aa, bdxtail, _8$1), _8$1, cdytail, _16$1), _16$1); |
|
} |
|
if (adytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, cc, -bdxtail, _8$1), _8$1, adytail, _16$1), _16$1); |
|
} |
|
} |
|
if (bdytail !== 0) { |
|
const len = scale(catlen, cat, bdytail, _16c); |
|
finlen = finadd(finlen, sum( |
|
scale(bytcalen, bytca, bdytail, _16$1), _16$1, |
|
scale(len, _16c, 2 * bdy, _32), _32, _48$1), _48$1); |
|
|
|
const len2 = scale(cattlen, catt, bdytail, _8$1); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8$1, 2 * bdy, _16$1), _16$1, |
|
scale(len2, _8$1, bdytail, _16b), _16b, |
|
scale(len, _16c, bdytail, _32), _32, _32b, _64), _64); |
|
} |
|
} |
|
if (cdxtail !== 0 || cdytail !== 0) { |
|
if (adxtail !== 0 || adytail !== 0 || bdxtail !== 0 || bdytail !== 0) { |
|
s1 = adxtail * bdy; |
|
c = splitter * adxtail; |
|
ahi = c - (c - adxtail); |
|
alo = adxtail - ahi; |
|
c = splitter * bdy; |
|
bhi = c - (c - bdy); |
|
blo = bdy - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = adx * bdytail; |
|
c = splitter * adx; |
|
ahi = c - (c - adx); |
|
alo = adx - ahi; |
|
c = splitter * bdytail; |
|
bhi = c - (c - bdytail); |
|
blo = bdytail - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 + t0; |
|
bvirt = _i - s0; |
|
u[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 + t1; |
|
bvirt = _i - _0; |
|
u[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
u[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
u[3] = u3; |
|
n1 = -ady; |
|
n0 = -adytail; |
|
s1 = bdxtail * n1; |
|
c = splitter * bdxtail; |
|
ahi = c - (c - bdxtail); |
|
alo = bdxtail - ahi; |
|
c = splitter * n1; |
|
bhi = c - (c - n1); |
|
blo = n1 - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = bdx * n0; |
|
c = splitter * bdx; |
|
ahi = c - (c - bdx); |
|
alo = bdx - ahi; |
|
c = splitter * n0; |
|
bhi = c - (c - n0); |
|
blo = n0 - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 + t0; |
|
bvirt = _i - s0; |
|
v[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 + t1; |
|
bvirt = _i - _0; |
|
v[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
v[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
v[3] = u3; |
|
abtlen = sum(4, u, 4, v, abt); |
|
s1 = adxtail * bdytail; |
|
c = splitter * adxtail; |
|
ahi = c - (c - adxtail); |
|
alo = adxtail - ahi; |
|
c = splitter * bdytail; |
|
bhi = c - (c - bdytail); |
|
blo = bdytail - bhi; |
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
|
t1 = bdxtail * adytail; |
|
c = splitter * bdxtail; |
|
ahi = c - (c - bdxtail); |
|
alo = bdxtail - ahi; |
|
c = splitter * adytail; |
|
bhi = c - (c - adytail); |
|
blo = adytail - bhi; |
|
t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); |
|
_i = s0 - t0; |
|
bvirt = s0 - _i; |
|
abtt[0] = s0 - (_i + bvirt) + (bvirt - t0); |
|
_j = s1 + _i; |
|
bvirt = _j - s1; |
|
_0 = s1 - (_j - bvirt) + (_i - bvirt); |
|
_i = _0 - t1; |
|
bvirt = _0 - _i; |
|
abtt[1] = _0 - (_i + bvirt) + (bvirt - t1); |
|
u3 = _j + _i; |
|
bvirt = u3 - _j; |
|
abtt[2] = _j - (u3 - bvirt) + (_i - bvirt); |
|
abtt[3] = u3; |
|
abttlen = 4; |
|
} else { |
|
abt[0] = 0; |
|
abtlen = 1; |
|
abtt[0] = 0; |
|
abttlen = 1; |
|
} |
|
if (cdxtail !== 0) { |
|
const len = scale(abtlen, abt, cdxtail, _16c); |
|
finlen = finadd(finlen, sum( |
|
scale(cxtablen, cxtab, cdxtail, _16$1), _16$1, |
|
scale(len, _16c, 2 * cdx, _32), _32, _48$1), _48$1); |
|
|
|
const len2 = scale(abttlen, abtt, cdxtail, _8$1); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8$1, 2 * cdx, _16$1), _16$1, |
|
scale(len2, _8$1, cdxtail, _16b), _16b, |
|
scale(len, _16c, cdxtail, _32), _32, _32b, _64), _64); |
|
|
|
if (adytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, bb, cdxtail, _8$1), _8$1, adytail, _16$1), _16$1); |
|
} |
|
if (bdytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, aa, -cdxtail, _8$1), _8$1, bdytail, _16$1), _16$1); |
|
} |
|
} |
|
if (cdytail !== 0) { |
|
const len = scale(abtlen, abt, cdytail, _16c); |
|
finlen = finadd(finlen, sum( |
|
scale(cytablen, cytab, cdytail, _16$1), _16$1, |
|
scale(len, _16c, 2 * cdy, _32), _32, _48$1), _48$1); |
|
|
|
const len2 = scale(abttlen, abtt, cdytail, _8$1); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8$1, 2 * cdy, _16$1), _16$1, |
|
scale(len2, _8$1, cdytail, _16b), _16b, |
|
scale(len, _16c, cdytail, _32), _32, _32b, _64), _64); |
|
} |
|
} |
|
|
|
return fin$1[finlen - 1]; |
|
} |
|
|
|
function incircle(ax, ay, bx, by, cx, cy, dx, dy) { |
|
const adx = ax - dx; |
|
const bdx = bx - dx; |
|
const cdx = cx - dx; |
|
const ady = ay - dy; |
|
const bdy = by - dy; |
|
const cdy = cy - dy; |
|
|
|
const bdxcdy = bdx * cdy; |
|
const cdxbdy = cdx * bdy; |
|
const alift = adx * adx + ady * ady; |
|
|
|
const cdxady = cdx * ady; |
|
const adxcdy = adx * cdy; |
|
const blift = bdx * bdx + bdy * bdy; |
|
|
|
const adxbdy = adx * bdy; |
|
const bdxady = bdx * ady; |
|
const clift = cdx * cdx + cdy * cdy; |
|
|
|
const det = |
|
alift * (bdxcdy - cdxbdy) + |
|
blift * (cdxady - adxcdy) + |
|
clift * (adxbdy - bdxady); |
|
|
|
const permanent = |
|
(Math.abs(bdxcdy) + Math.abs(cdxbdy)) * alift + |
|
(Math.abs(cdxady) + Math.abs(adxcdy)) * blift + |
|
(Math.abs(adxbdy) + Math.abs(bdxady)) * clift; |
|
|
|
const errbound = iccerrboundA * permanent; |
|
|
|
if (det > errbound || -det > errbound) { |
|
return det; |
|
} |
|
return incircleadapt(ax, ay, bx, by, cx, cy, dx, dy, permanent); |
|
} |
|
|
|
function incirclefast(ax, ay, bx, by, cx, cy, dx, dy) { |
|
const adx = ax - dx; |
|
const ady = ay - dy; |
|
const bdx = bx - dx; |
|
const bdy = by - dy; |
|
const cdx = cx - dx; |
|
const cdy = cy - dy; |
|
|
|
const abdet = adx * bdy - bdx * ady; |
|
const bcdet = bdx * cdy - cdx * bdy; |
|
const cadet = cdx * ady - adx * cdy; |
|
const alift = adx * adx + ady * ady; |
|
const blift = bdx * bdx + bdy * bdy; |
|
const clift = cdx * cdx + cdy * cdy; |
|
|
|
return alift * bcdet + blift * cadet + clift * abdet; |
|
} |
|
|
|
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; |
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const dexaey = dex * aey; |
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const aexdey = aex * dey; |
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const da = dexaey - aexdey; |
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const aexcey = aex * cey; |
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const cexaey = cex * aey; |
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const ac = aexcey - cexaey; |
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const bexdey = bex * dey; |
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const dexbey = dex * bey; |
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const bd = bexdey - dexbey; |
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|
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const alift = aex * aex + aey * aey + aez * aez; |
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const blift = bex * bex + bey * bey + bez * bez; |
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const clift = cex * cex + cey * cey + cez * cez; |
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const dlift = dex * dex + dey * dey + dez * dez; |
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|
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const det = |
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(clift * (dez * ab + aez * bd + bez * da) - dlift * (aez * bc - bez * ac + cez * ab)) + |
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(alift * (bez * cd - cez * bd + dez * bc) - blift * (cez * da + dez * ac + aez * cd)); |
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|
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const aezplus = Math.abs(aez); |
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const bezplus = Math.abs(bez); |
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const cezplus = Math.abs(cez); |
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const dezplus = Math.abs(dez); |
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const aexbeyplus = Math.abs(aexbey) + Math.abs(bexaey); |
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const bexceyplus = Math.abs(bexcey) + Math.abs(cexbey); |
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const cexdeyplus = Math.abs(cexdey) + Math.abs(dexcey); |
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const dexaeyplus = Math.abs(dexaey) + Math.abs(aexdey); |
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const aexceyplus = Math.abs(aexcey) + Math.abs(cexaey); |
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const bexdeyplus = Math.abs(bexdey) + Math.abs(dexbey); |
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const permanent = |
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(cexdeyplus * bezplus + bexdeyplus * cezplus + bexceyplus * dezplus) * alift + |
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(dexaeyplus * cezplus + aexceyplus * dezplus + cexdeyplus * aezplus) * blift + |
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(aexbeyplus * dezplus + bexdeyplus * aezplus + dexaeyplus * bezplus) * clift + |
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(bexceyplus * aezplus + aexceyplus * bezplus + aexbeyplus * cezplus) * dlift; |
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|
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const errbound = isperrboundA * permanent; |
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if (det > errbound || -det > errbound) { |
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return det; |
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} |
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return -insphereadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez, permanent); |
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} |
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|
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function inspherefast(pax, pay, paz, pbx, pby, pbz, pcx, pcy, pcz, pdx, pdy, pdz, pex, pey, pez) { |
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const aex = pax - pex; |
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const bex = pbx - pex; |
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const cex = pcx - pex; |
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const dex = pdx - pex; |
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const aey = pay - pey; |
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const bey = pby - pey; |
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const cey = pcy - pey; |
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const dey = pdy - pey; |
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const aez = paz - pez; |
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const bez = pbz - pez; |
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const cez = pcz - pez; |
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const dez = pdz - pez; |
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|
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const ab = aex * bey - bex * aey; |
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const bc = bex * cey - cex * bey; |
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const cd = cex * dey - dex * cey; |
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const da = dex * aey - aex * dey; |
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const ac = aex * cey - cex * aey; |
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const bd = bex * dey - dex * bey; |
|
|
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const abc = aez * bc - bez * ac + cez * ab; |
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const bcd = bez * cd - cez * bd + dez * bc; |
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const cda = cez * da + dez * ac + aez * cd; |
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const dab = dez * ab + aez * bd + bez * da; |
|
|
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const alift = aex * aex + aey * aey + aez * aez; |
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const blift = bex * bex + bey * bey + bez * bez; |
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const clift = cex * cex + cey * cey + cez * cez; |
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const dlift = dex * dex + dey * dey + dez * dez; |
|
|
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return (clift * dab - dlift * abc) + (alift * bcd - blift * cda); |
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} |
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|
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exports.incircle = incircle; |
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exports.incirclefast = incirclefast; |
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exports.insphere = insphere; |
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exports.inspherefast = inspherefast; |
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exports.orient2d = orient2d; |
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exports.orient2dfast = orient2dfast; |
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exports.orient3d = orient3d; |
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exports.orient3dfast = orient3dfast; |
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|
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})); |
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|