2329 lines
73 KiB
JavaScript
2329 lines
73 KiB
JavaScript
(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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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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// fast_expansion_sum_zeroelim routine from oritinal code
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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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// scale_expansion_zeroelim routine from oritinal code
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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);
|
|
t1 = xtail * by;
|
|
c = splitter * xtail;
|
|
ahi = c - (c - xtail);
|
|
alo = xtail - 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;
|
|
b[0] = s0 - (_i + bvirt) + (bvirt - t0);
|
|
_j = s1 + _i;
|
|
bvirt = _j - s1;
|
|
_0 = s1 - (_j - bvirt) + (_i - bvirt);
|
|
_i = _0 - t1;
|
|
bvirt = _0 - _i;
|
|
b[1] = _0 - (_i + bvirt) + (bvirt - t1);
|
|
u3 = _j + _i;
|
|
bvirt = u3 - _j;
|
|
b[2] = _j - (u3 - bvirt) + (_i - bvirt);
|
|
b[3] = u3;
|
|
return 4;
|
|
}
|
|
}
|
|
}
|
|
|
|
function tailadd(finlen, a, b, k, z) {
|
|
let bvirt, c, ahi, alo, bhi, blo, _i, _j, _k, _0, s1, s0, u3;
|
|
s1 = a * b;
|
|
c = splitter * a;
|
|
ahi = c - (c - a);
|
|
alo = a - ahi;
|
|
c = splitter * b;
|
|
bhi = c - (c - b);
|
|
blo = b - bhi;
|
|
s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
|
|
c = splitter * k;
|
|
bhi = c - (c - k);
|
|
blo = k - bhi;
|
|
_i = s0 * k;
|
|
c = splitter * s0;
|
|
ahi = c - (c - s0);
|
|
alo = s0 - ahi;
|
|
u$1[0] = alo * blo - (_i - ahi * bhi - alo * bhi - ahi * blo);
|
|
_j = s1 * k;
|
|
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);
|
|
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;
|
|
const dexaey = dex * aey;
|
|
const aexdey = aex * dey;
|
|
const da = dexaey - aexdey;
|
|
const aexcey = aex * cey;
|
|
const cexaey = cex * aey;
|
|
const ac = aexcey - cexaey;
|
|
const bexdey = bex * dey;
|
|
const dexbey = dex * bey;
|
|
const bd = bexdey - dexbey;
|
|
|
|
const alift = aex * aex + aey * aey + aez * aez;
|
|
const blift = bex * bex + bey * bey + bez * bez;
|
|
const clift = cex * cex + cey * cey + cez * cez;
|
|
const dlift = dex * dex + dey * dey + dez * dez;
|
|
|
|
const det =
|
|
(clift * (dez * ab + aez * bd + bez * da) - dlift * (aez * bc - bez * ac + cez * ab)) +
|
|
(alift * (bez * cd - cez * bd + dez * bc) - blift * (cez * da + dez * ac + aez * cd));
|
|
|
|
const aezplus = Math.abs(aez);
|
|
const bezplus = Math.abs(bez);
|
|
const cezplus = Math.abs(cez);
|
|
const dezplus = Math.abs(dez);
|
|
const aexbeyplus = Math.abs(aexbey) + Math.abs(bexaey);
|
|
const bexceyplus = Math.abs(bexcey) + Math.abs(cexbey);
|
|
const cexdeyplus = Math.abs(cexdey) + Math.abs(dexcey);
|
|
const dexaeyplus = Math.abs(dexaey) + Math.abs(aexdey);
|
|
const aexceyplus = Math.abs(aexcey) + Math.abs(cexaey);
|
|
const bexdeyplus = Math.abs(bexdey) + Math.abs(dexbey);
|
|
const permanent =
|
|
(cexdeyplus * bezplus + bexdeyplus * cezplus + bexceyplus * dezplus) * alift +
|
|
(dexaeyplus * cezplus + aexceyplus * dezplus + cexdeyplus * aezplus) * blift +
|
|
(aexbeyplus * dezplus + bexdeyplus * aezplus + dexaeyplus * bezplus) * clift +
|
|
(bexceyplus * aezplus + aexceyplus * bezplus + aexbeyplus * cezplus) * dlift;
|
|
|
|
const errbound = isperrboundA * permanent;
|
|
if (det > errbound || -det > errbound) {
|
|
return det;
|
|
}
|
|
return -insphereadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez, permanent);
|
|
}
|
|
|
|
function inspherefast(pax, pay, paz, pbx, pby, pbz, pcx, pcy, pcz, pdx, pdy, pdz, pex, pey, pez) {
|
|
const aex = pax - pex;
|
|
const bex = pbx - pex;
|
|
const cex = pcx - pex;
|
|
const dex = pdx - pex;
|
|
const aey = pay - pey;
|
|
const bey = pby - pey;
|
|
const cey = pcy - pey;
|
|
const dey = pdy - pey;
|
|
const aez = paz - pez;
|
|
const bez = pbz - pez;
|
|
const cez = pcz - pez;
|
|
const dez = pdz - pez;
|
|
|
|
const ab = aex * bey - bex * aey;
|
|
const bc = bex * cey - cex * bey;
|
|
const cd = cex * dey - dex * cey;
|
|
const da = dex * aey - aex * dey;
|
|
const ac = aex * cey - cex * aey;
|
|
const bd = bex * dey - dex * bey;
|
|
|
|
const abc = aez * bc - bez * ac + cez * ab;
|
|
const bcd = bez * cd - cez * bd + dez * bc;
|
|
const cda = cez * da + dez * ac + aez * cd;
|
|
const dab = dez * ab + aez * bd + bez * da;
|
|
|
|
const alift = aex * aex + aey * aey + aez * aez;
|
|
const blift = bex * bex + bey * bey + bez * bez;
|
|
const clift = cex * cex + cey * cey + cez * cez;
|
|
const dlift = dex * dex + dey * dey + dez * dez;
|
|
|
|
return (clift * dab - dlift * abc) + (alift * bcd - blift * cda);
|
|
}
|
|
|
|
exports.incircle = incircle;
|
|
exports.incirclefast = incirclefast;
|
|
exports.insphere = insphere;
|
|
exports.inspherefast = inspherefast;
|
|
exports.orient2d = orient2d;
|
|
exports.orient2dfast = orient2dfast;
|
|
exports.orient3d = orient3d;
|
|
exports.orient3dfast = orient3dfast;
|
|
|
|
}));
|