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- (function (global, factory) {
- typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) :
- typeof define === 'function' && define.amd ? define(['exports'], factory) :
- (global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.predicates = {}));
- })(this, (function (exports) { 'use strict';
-
- const epsilon = 1.1102230246251565e-16;
- const splitter = 134217729;
- const resulterrbound = (3 + 8 * epsilon) * epsilon;
-
- // fast_expansion_sum_zeroelim routine from oritinal code
- function sum(elen, e, flen, f, h) {
- let Q, Qnew, hh, bvirt;
- let enow = e[0];
- let fnow = f[0];
- let eindex = 0;
- let findex = 0;
- if ((fnow > enow) === (fnow > -enow)) {
- Q = enow;
- enow = e[++eindex];
- } else {
- Q = fnow;
- fnow = f[++findex];
- }
- let hindex = 0;
- if (eindex < elen && findex < flen) {
- if ((fnow > enow) === (fnow > -enow)) {
- Qnew = enow + Q;
- hh = Q - (Qnew - enow);
- enow = e[++eindex];
- } else {
- Qnew = fnow + Q;
- hh = Q - (Qnew - fnow);
- fnow = f[++findex];
- }
- Q = Qnew;
- if (hh !== 0) {
- h[hindex++] = hh;
- }
- while (eindex < elen && findex < flen) {
- if ((fnow > enow) === (fnow > -enow)) {
- Qnew = Q + enow;
- bvirt = Qnew - Q;
- hh = Q - (Qnew - bvirt) + (enow - bvirt);
- enow = e[++eindex];
- } else {
- Qnew = Q + fnow;
- bvirt = Qnew - Q;
- hh = Q - (Qnew - bvirt) + (fnow - bvirt);
- fnow = f[++findex];
- }
- Q = Qnew;
- if (hh !== 0) {
- h[hindex++] = hh;
- }
- }
- }
- while (eindex < elen) {
- Qnew = Q + enow;
- bvirt = Qnew - Q;
- hh = Q - (Qnew - bvirt) + (enow - bvirt);
- enow = e[++eindex];
- Q = Qnew;
- if (hh !== 0) {
- h[hindex++] = hh;
- }
- }
- while (findex < flen) {
- Qnew = Q + fnow;
- bvirt = Qnew - Q;
- hh = Q - (Qnew - bvirt) + (fnow - bvirt);
- fnow = f[++findex];
- Q = Qnew;
- if (hh !== 0) {
- h[hindex++] = hh;
- }
- }
- if (Q !== 0 || hindex === 0) {
- h[hindex++] = Q;
- }
- return hindex;
- }
-
- function sum_three(alen, a, blen, b, clen, c, tmp, out) {
- return sum(sum(alen, a, blen, b, tmp), tmp, clen, c, out);
- }
-
- // scale_expansion_zeroelim routine from oritinal code
- function scale(elen, e, b, h) {
- let Q, sum, hh, product1, product0;
- let bvirt, c, ahi, alo, bhi, blo;
-
- c = splitter * b;
- bhi = c - (c - b);
- blo = b - bhi;
- let enow = e[0];
- Q = enow * b;
- c = splitter * enow;
- ahi = c - (c - enow);
- alo = enow - ahi;
- hh = alo * blo - (Q - ahi * bhi - alo * bhi - ahi * blo);
- let hindex = 0;
- if (hh !== 0) {
- h[hindex++] = hh;
- }
- for (let i = 1; i < elen; i++) {
- enow = e[i];
- product1 = enow * b;
- c = splitter * enow;
- ahi = c - (c - enow);
- alo = enow - ahi;
- product0 = alo * blo - (product1 - ahi * bhi - alo * bhi - ahi * blo);
- sum = Q + product0;
- bvirt = sum - Q;
- hh = Q - (sum - bvirt) + (product0 - bvirt);
- if (hh !== 0) {
- h[hindex++] = hh;
- }
- Q = product1 + sum;
- hh = sum - (Q - product1);
- if (hh !== 0) {
- h[hindex++] = hh;
- }
- }
- if (Q !== 0 || hindex === 0) {
- h[hindex++] = Q;
- }
- return hindex;
- }
-
- function negate(elen, e) {
- for (let i = 0; i < elen; i++) e[i] = -e[i];
- return elen;
- }
-
- function estimate(elen, e) {
- let Q = e[0];
- for (let i = 1; i < elen; i++) Q += e[i];
- return Q;
- }
-
- function vec(n) {
- return new Float64Array(n);
- }
-
- const isperrboundA = (16 + 224 * epsilon) * epsilon;
- const isperrboundB = (5 + 72 * epsilon) * epsilon;
- const isperrboundC = (71 + 1408 * epsilon) * epsilon * epsilon;
-
- const ab = vec(4);
- const bc = vec(4);
- const cd = vec(4);
- const de = vec(4);
- const ea = vec(4);
- const ac = vec(4);
- const bd = vec(4);
- const ce = vec(4);
- const da = vec(4);
- const eb = vec(4);
-
- const abc = vec(24);
- const bcd = vec(24);
- const cde = vec(24);
- const dea = vec(24);
- const eab = vec(24);
- const abd = vec(24);
- const bce = vec(24);
- const cda = vec(24);
- const deb = vec(24);
- const eac = vec(24);
-
- const adet = vec(1152);
- const bdet = vec(1152);
- const cdet = vec(1152);
- const ddet = vec(1152);
- const edet = vec(1152);
- const abdet = vec(2304);
- const cddet = vec(2304);
- const cdedet = vec(3456);
- const deter = vec(5760);
-
- const _8 = vec(8);
- const _8b = vec(8);
- const _8c = vec(8);
- const _16 = vec(16);
- const _24 = vec(24);
- const _48 = vec(48);
- const _48b = vec(48);
- const _96 = vec(96);
- const _192 = vec(192);
- const _384x = vec(384);
- const _384y = vec(384);
- const _384z = vec(384);
- const _768 = vec(768);
-
- function sum_three_scale(a, b, c, az, bz, cz, out) {
- return sum_three(
- scale(4, a, az, _8), _8,
- scale(4, b, bz, _8b), _8b,
- scale(4, c, cz, _8c), _8c, _16, out);
- }
-
- function liftexact(alen, a, blen, b, clen, c, dlen, d, x, y, z, out) {
- const len = sum(
- sum(alen, a, blen, b, _48), _48,
- negate(sum(clen, c, dlen, d, _48b), _48b), _48b, _96);
-
- return sum_three(
- scale(scale(len, _96, x, _192), _192, x, _384x), _384x,
- scale(scale(len, _96, y, _192), _192, y, _384y), _384y,
- scale(scale(len, _96, z, _192), _192, z, _384z), _384z, _768, out);
- }
-
- function insphereexact(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez) {
- let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3;
-
- s1 = ax * by;
- c = splitter * ax;
- ahi = c - (c - ax);
- alo = ax - ahi;
- c = splitter * by;
- bhi = c - (c - by);
- blo = by - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = bx * ay;
- c = splitter * bx;
- ahi = c - (c - bx);
- alo = bx - ahi;
- c = splitter * ay;
- bhi = c - (c - ay);
- blo = ay - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- ab[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- ab[1] = _0 - (_i + bvirt) + (bvirt - t1);
- u3 = _j + _i;
- bvirt = u3 - _j;
- ab[2] = _j - (u3 - bvirt) + (_i - bvirt);
- ab[3] = u3;
- s1 = bx * cy;
- c = splitter * bx;
- ahi = c - (c - bx);
- alo = bx - ahi;
- c = splitter * cy;
- bhi = c - (c - cy);
- blo = cy - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = cx * by;
- c = splitter * cx;
- ahi = c - (c - cx);
- alo = cx - ahi;
- c = splitter * by;
- bhi = c - (c - by);
- blo = by - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- bc[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- bc[1] = _0 - (_i + bvirt) + (bvirt - t1);
- u3 = _j + _i;
- bvirt = u3 - _j;
- bc[2] = _j - (u3 - bvirt) + (_i - bvirt);
- bc[3] = u3;
- s1 = cx * dy;
- c = splitter * cx;
- ahi = c - (c - cx);
- alo = cx - ahi;
- c = splitter * dy;
- bhi = c - (c - dy);
- blo = dy - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = dx * cy;
- c = splitter * dx;
- ahi = c - (c - dx);
- alo = dx - ahi;
- c = splitter * cy;
- bhi = c - (c - cy);
- blo = cy - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- cd[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- cd[1] = _0 - (_i + bvirt) + (bvirt - t1);
- u3 = _j + _i;
- bvirt = u3 - _j;
- cd[2] = _j - (u3 - bvirt) + (_i - bvirt);
- cd[3] = u3;
- s1 = dx * ey;
- c = splitter * dx;
- ahi = c - (c - dx);
- alo = dx - ahi;
- c = splitter * ey;
- bhi = c - (c - ey);
- blo = ey - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = ex * dy;
- c = splitter * ex;
- ahi = c - (c - ex);
- alo = ex - ahi;
- c = splitter * dy;
- bhi = c - (c - dy);
- blo = dy - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- de[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- de[1] = _0 - (_i + bvirt) + (bvirt - t1);
- u3 = _j + _i;
- bvirt = u3 - _j;
- de[2] = _j - (u3 - bvirt) + (_i - bvirt);
- de[3] = u3;
- s1 = ex * ay;
- c = splitter * ex;
- ahi = c - (c - ex);
- alo = ex - ahi;
- c = splitter * ay;
- bhi = c - (c - ay);
- blo = ay - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = ax * ey;
- c = splitter * ax;
- ahi = c - (c - ax);
- alo = ax - ahi;
- c = splitter * ey;
- bhi = c - (c - ey);
- blo = ey - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- ea[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- ea[1] = _0 - (_i + bvirt) + (bvirt - t1);
- u3 = _j + _i;
- bvirt = u3 - _j;
- ea[2] = _j - (u3 - bvirt) + (_i - bvirt);
- ea[3] = u3;
- s1 = ax * cy;
- c = splitter * ax;
- ahi = c - (c - ax);
- alo = ax - ahi;
- c = splitter * cy;
- bhi = c - (c - cy);
- blo = cy - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = cx * ay;
- c = splitter * cx;
- ahi = c - (c - cx);
- alo = cx - ahi;
- c = splitter * ay;
- bhi = c - (c - ay);
- blo = ay - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- ac[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- ac[1] = _0 - (_i + bvirt) + (bvirt - t1);
- u3 = _j + _i;
- bvirt = u3 - _j;
- ac[2] = _j - (u3 - bvirt) + (_i - bvirt);
- ac[3] = u3;
- s1 = bx * dy;
- c = splitter * bx;
- ahi = c - (c - bx);
- alo = bx - ahi;
- c = splitter * dy;
- bhi = c - (c - dy);
- blo = dy - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = dx * by;
- c = splitter * dx;
- ahi = c - (c - dx);
- alo = dx - ahi;
- c = splitter * by;
- bhi = c - (c - by);
- blo = by - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- bd[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- bd[1] = _0 - (_i + bvirt) + (bvirt - t1);
- u3 = _j + _i;
- bvirt = u3 - _j;
- bd[2] = _j - (u3 - bvirt) + (_i - bvirt);
- bd[3] = u3;
- s1 = cx * ey;
- c = splitter * cx;
- ahi = c - (c - cx);
- alo = cx - ahi;
- c = splitter * ey;
- bhi = c - (c - ey);
- blo = ey - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = ex * cy;
- c = splitter * ex;
- ahi = c - (c - ex);
- alo = ex - ahi;
- c = splitter * cy;
- bhi = c - (c - cy);
- blo = cy - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- ce[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- ce[1] = _0 - (_i + bvirt) + (bvirt - t1);
- u3 = _j + _i;
- bvirt = u3 - _j;
- ce[2] = _j - (u3 - bvirt) + (_i - bvirt);
- ce[3] = u3;
- s1 = dx * ay;
- c = splitter * dx;
- ahi = c - (c - dx);
- alo = dx - ahi;
- c = splitter * ay;
- bhi = c - (c - ay);
- blo = ay - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = ax * dy;
- c = splitter * ax;
- ahi = c - (c - ax);
- alo = ax - ahi;
- c = splitter * dy;
- bhi = c - (c - dy);
- blo = dy - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- da[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- da[1] = _0 - (_i + bvirt) + (bvirt - t1);
- u3 = _j + _i;
- bvirt = u3 - _j;
- da[2] = _j - (u3 - bvirt) + (_i - bvirt);
- da[3] = u3;
- s1 = ex * by;
- c = splitter * ex;
- ahi = c - (c - ex);
- alo = ex - ahi;
- c = splitter * by;
- bhi = c - (c - by);
- blo = by - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = bx * ey;
- c = splitter * bx;
- ahi = c - (c - bx);
- alo = bx - ahi;
- c = splitter * ey;
- bhi = c - (c - ey);
- blo = ey - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- eb[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- eb[1] = _0 - (_i + bvirt) + (bvirt - t1);
- u3 = _j + _i;
- bvirt = u3 - _j;
- eb[2] = _j - (u3 - bvirt) + (_i - bvirt);
- eb[3] = u3;
-
- const abclen = sum_three_scale(ab, bc, ac, cz, az, -bz, abc);
- const bcdlen = sum_three_scale(bc, cd, bd, dz, bz, -cz, bcd);
- const cdelen = sum_three_scale(cd, de, ce, ez, cz, -dz, cde);
- const dealen = sum_three_scale(de, ea, da, az, dz, -ez, dea);
- const eablen = sum_three_scale(ea, ab, eb, bz, ez, -az, eab);
- const abdlen = sum_three_scale(ab, bd, da, dz, az, bz, abd);
- const bcelen = sum_three_scale(bc, ce, eb, ez, bz, cz, bce);
- const cdalen = sum_three_scale(cd, da, ac, az, cz, dz, cda);
- const deblen = sum_three_scale(de, eb, bd, bz, dz, ez, deb);
- const eaclen = sum_three_scale(ea, ac, ce, cz, ez, az, eac);
-
- const deterlen = sum_three(
- liftexact(cdelen, cde, bcelen, bce, deblen, deb, bcdlen, bcd, ax, ay, az, adet), adet,
- liftexact(dealen, dea, cdalen, cda, eaclen, eac, cdelen, cde, bx, by, bz, bdet), bdet,
- sum_three(
- liftexact(eablen, eab, deblen, deb, abdlen, abd, dealen, dea, cx, cy, cz, cdet), cdet,
- liftexact(abclen, abc, eaclen, eac, bcelen, bce, eablen, eab, dx, dy, dz, ddet), ddet,
- liftexact(bcdlen, bcd, abdlen, abd, cdalen, cda, abclen, abc, ex, ey, ez, edet), edet, cddet, cdedet), cdedet, abdet, deter);
-
- return deter[deterlen - 1];
- }
-
- const xdet = vec(96);
- const ydet = vec(96);
- const zdet = vec(96);
- const fin = vec(1152);
-
- function liftadapt(a, b, c, az, bz, cz, x, y, z, out) {
- const len = sum_three_scale(a, b, c, az, bz, cz, _24);
- return sum_three(
- scale(scale(len, _24, x, _48), _48, x, xdet), xdet,
- scale(scale(len, _24, y, _48), _48, y, ydet), ydet,
- scale(scale(len, _24, z, _48), _48, z, zdet), zdet, _192, out);
- }
-
- function insphereadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez, permanent) {
- let ab3, bc3, cd3, da3, ac3, bd3;
-
- let aextail, bextail, cextail, dextail;
- let aeytail, beytail, ceytail, deytail;
- let aeztail, beztail, ceztail, deztail;
-
- let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0;
-
- const aex = ax - ex;
- const bex = bx - ex;
- const cex = cx - ex;
- const dex = dx - ex;
- const aey = ay - ey;
- const bey = by - ey;
- const cey = cy - ey;
- const dey = dy - ey;
- const aez = az - ez;
- const bez = bz - ez;
- const cez = cz - ez;
- const dez = dz - ez;
-
- s1 = aex * bey;
- c = splitter * aex;
- ahi = c - (c - aex);
- alo = aex - ahi;
- c = splitter * bey;
- bhi = c - (c - bey);
- blo = bey - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = bex * aey;
- c = splitter * bex;
- ahi = c - (c - bex);
- alo = bex - ahi;
- c = splitter * aey;
- bhi = c - (c - aey);
- blo = aey - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- ab[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- ab[1] = _0 - (_i + bvirt) + (bvirt - t1);
- ab3 = _j + _i;
- bvirt = ab3 - _j;
- ab[2] = _j - (ab3 - bvirt) + (_i - bvirt);
- ab[3] = ab3;
- s1 = bex * cey;
- c = splitter * bex;
- ahi = c - (c - bex);
- alo = bex - ahi;
- c = splitter * cey;
- bhi = c - (c - cey);
- blo = cey - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = cex * bey;
- c = splitter * cex;
- ahi = c - (c - cex);
- alo = cex - ahi;
- c = splitter * bey;
- bhi = c - (c - bey);
- blo = bey - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- bc[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- bc[1] = _0 - (_i + bvirt) + (bvirt - t1);
- bc3 = _j + _i;
- bvirt = bc3 - _j;
- bc[2] = _j - (bc3 - bvirt) + (_i - bvirt);
- bc[3] = bc3;
- s1 = cex * dey;
- c = splitter * cex;
- ahi = c - (c - cex);
- alo = cex - ahi;
- c = splitter * dey;
- bhi = c - (c - dey);
- blo = dey - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = dex * cey;
- c = splitter * dex;
- ahi = c - (c - dex);
- alo = dex - ahi;
- c = splitter * cey;
- bhi = c - (c - cey);
- blo = cey - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- cd[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- cd[1] = _0 - (_i + bvirt) + (bvirt - t1);
- cd3 = _j + _i;
- bvirt = cd3 - _j;
- cd[2] = _j - (cd3 - bvirt) + (_i - bvirt);
- cd[3] = cd3;
- s1 = dex * aey;
- c = splitter * dex;
- ahi = c - (c - dex);
- alo = dex - ahi;
- c = splitter * aey;
- bhi = c - (c - aey);
- blo = aey - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = aex * dey;
- c = splitter * aex;
- ahi = c - (c - aex);
- alo = aex - ahi;
- c = splitter * dey;
- bhi = c - (c - dey);
- blo = dey - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- da[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- da[1] = _0 - (_i + bvirt) + (bvirt - t1);
- da3 = _j + _i;
- bvirt = da3 - _j;
- da[2] = _j - (da3 - bvirt) + (_i - bvirt);
- da[3] = da3;
- s1 = aex * cey;
- c = splitter * aex;
- ahi = c - (c - aex);
- alo = aex - ahi;
- c = splitter * cey;
- bhi = c - (c - cey);
- blo = cey - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = cex * aey;
- c = splitter * cex;
- ahi = c - (c - cex);
- alo = cex - ahi;
- c = splitter * aey;
- bhi = c - (c - aey);
- blo = aey - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- ac[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- ac[1] = _0 - (_i + bvirt) + (bvirt - t1);
- ac3 = _j + _i;
- bvirt = ac3 - _j;
- ac[2] = _j - (ac3 - bvirt) + (_i - bvirt);
- ac[3] = ac3;
- s1 = bex * dey;
- c = splitter * bex;
- ahi = c - (c - bex);
- alo = bex - ahi;
- c = splitter * dey;
- bhi = c - (c - dey);
- blo = dey - bhi;
- s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
- t1 = dex * bey;
- c = splitter * dex;
- ahi = c - (c - dex);
- alo = dex - ahi;
- c = splitter * bey;
- bhi = c - (c - bey);
- blo = bey - bhi;
- t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
- _i = s0 - t0;
- bvirt = s0 - _i;
- bd[0] = s0 - (_i + bvirt) + (bvirt - t0);
- _j = s1 + _i;
- bvirt = _j - s1;
- _0 = s1 - (_j - bvirt) + (_i - bvirt);
- _i = _0 - t1;
- bvirt = _0 - _i;
- bd[1] = _0 - (_i + bvirt) + (bvirt - t1);
- bd3 = _j + _i;
- bvirt = bd3 - _j;
- bd[2] = _j - (bd3 - bvirt) + (_i - bvirt);
- bd[3] = bd3;
-
- const finlen = sum(
- sum(
- negate(liftadapt(bc, cd, bd, dez, bez, -cez, aex, aey, aez, adet), adet), adet,
- liftadapt(cd, da, ac, aez, cez, dez, bex, bey, bez, bdet), bdet, abdet), abdet,
- sum(
- negate(liftadapt(da, ab, bd, bez, dez, aez, cex, cey, cez, cdet), cdet), cdet,
- liftadapt(ab, bc, ac, cez, aez, -bez, dex, dey, dez, ddet), ddet, cddet), cddet, fin);
-
- let det = estimate(finlen, fin);
- let errbound = isperrboundB * permanent;
- if (det >= errbound || -det >= errbound) {
- return det;
- }
-
- bvirt = ax - aex;
- aextail = ax - (aex + bvirt) + (bvirt - ex);
- bvirt = ay - aey;
- aeytail = ay - (aey + bvirt) + (bvirt - ey);
- bvirt = az - aez;
- aeztail = az - (aez + bvirt) + (bvirt - ez);
- bvirt = bx - bex;
- bextail = bx - (bex + bvirt) + (bvirt - ex);
- bvirt = by - bey;
- beytail = by - (bey + bvirt) + (bvirt - ey);
- bvirt = bz - bez;
- beztail = bz - (bez + bvirt) + (bvirt - ez);
- bvirt = cx - cex;
- cextail = cx - (cex + bvirt) + (bvirt - ex);
- bvirt = cy - cey;
- ceytail = cy - (cey + bvirt) + (bvirt - ey);
- bvirt = cz - cez;
- ceztail = cz - (cez + bvirt) + (bvirt - ez);
- bvirt = dx - dex;
- dextail = dx - (dex + bvirt) + (bvirt - ex);
- bvirt = dy - dey;
- deytail = dy - (dey + bvirt) + (bvirt - ey);
- bvirt = dz - dez;
- deztail = dz - (dez + bvirt) + (bvirt - ez);
- if (aextail === 0 && aeytail === 0 && aeztail === 0 &&
- bextail === 0 && beytail === 0 && beztail === 0 &&
- cextail === 0 && ceytail === 0 && ceztail === 0 &&
- dextail === 0 && deytail === 0 && deztail === 0) {
- return det;
- }
-
- errbound = isperrboundC * permanent + resulterrbound * Math.abs(det);
-
- const abeps = (aex * beytail + bey * aextail) - (aey * bextail + bex * aeytail);
- const bceps = (bex * ceytail + cey * bextail) - (bey * cextail + cex * beytail);
- const cdeps = (cex * deytail + dey * cextail) - (cey * dextail + dex * ceytail);
- const daeps = (dex * aeytail + aey * dextail) - (dey * aextail + aex * deytail);
- const aceps = (aex * ceytail + cey * aextail) - (aey * cextail + cex * aeytail);
- const bdeps = (bex * deytail + dey * bextail) - (bey * dextail + dex * beytail);
- det +=
- (((bex * bex + bey * bey + bez * bez) * ((cez * daeps + dez * aceps + aez * cdeps) +
- (ceztail * da3 + deztail * ac3 + aeztail * cd3)) + (dex * dex + dey * dey + dez * dez) *
- ((aez * bceps - bez * aceps + cez * abeps) + (aeztail * bc3 - beztail * ac3 + ceztail * ab3))) -
- ((aex * aex + aey * aey + aez * aez) * ((bez * cdeps - cez * bdeps + dez * bceps) +
- (beztail * cd3 - ceztail * bd3 + deztail * bc3)) + (cex * cex + cey * cey + cez * cez) *
- ((dez * abeps + aez * bdeps + bez * daeps) + (deztail * ab3 + aeztail * bd3 + beztail * da3)))) +
- 2 * (((bex * bextail + bey * beytail + bez * beztail) * (cez * da3 + dez * ac3 + aez * cd3) +
- (dex * dextail + dey * deytail + dez * deztail) * (aez * bc3 - bez * ac3 + cez * ab3)) -
- ((aex * aextail + aey * aeytail + aez * aeztail) * (bez * cd3 - cez * bd3 + dez * bc3) +
- (cex * cextail + cey * ceytail + cez * ceztail) * (dez * ab3 + aez * bd3 + bez * da3)));
-
- if (det >= errbound || -det >= errbound) {
- return det;
- }
-
- return insphereexact(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez);
- }
-
- function insphere(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez) {
- const aex = ax - ex;
- const bex = bx - ex;
- const cex = cx - ex;
- const dex = dx - ex;
- const aey = ay - ey;
- const bey = by - ey;
- const cey = cy - ey;
- const dey = dy - ey;
- const aez = az - ez;
- const bez = bz - ez;
- const cez = cz - ez;
- const dez = dz - ez;
-
- const aexbey = aex * bey;
- const bexaey = bex * aey;
- const ab = aexbey - bexaey;
- const bexcey = bex * cey;
- const cexbey = cex * bey;
- const bc = bexcey - cexbey;
- const cexdey = cex * dey;
- const dexcey = dex * cey;
- const cd = cexdey - dexcey;
- const dexaey = dex * aey;
- const aexdey = aex * dey;
- const da = dexaey - aexdey;
- const aexcey = aex * cey;
- const cexaey = cex * aey;
- const ac = aexcey - cexaey;
- const bexdey = bex * dey;
- const dexbey = dex * bey;
- const bd = bexdey - dexbey;
-
- const alift = aex * aex + aey * aey + aez * aez;
- const blift = bex * bex + bey * bey + bez * bez;
- const clift = cex * cex + cey * cey + cez * cez;
- const dlift = dex * dex + dey * dey + dez * dez;
-
- const det =
- (clift * (dez * ab + aez * bd + bez * da) - dlift * (aez * bc - bez * ac + cez * ab)) +
- (alift * (bez * cd - cez * bd + dez * bc) - blift * (cez * da + dez * ac + aez * cd));
-
- const aezplus = Math.abs(aez);
- const bezplus = Math.abs(bez);
- const cezplus = Math.abs(cez);
- const dezplus = Math.abs(dez);
- const aexbeyplus = Math.abs(aexbey) + Math.abs(bexaey);
- const bexceyplus = Math.abs(bexcey) + Math.abs(cexbey);
- const cexdeyplus = Math.abs(cexdey) + Math.abs(dexcey);
- const dexaeyplus = Math.abs(dexaey) + Math.abs(aexdey);
- const aexceyplus = Math.abs(aexcey) + Math.abs(cexaey);
- const bexdeyplus = Math.abs(bexdey) + Math.abs(dexbey);
- const permanent =
- (cexdeyplus * bezplus + bexdeyplus * cezplus + bexceyplus * dezplus) * alift +
- (dexaeyplus * cezplus + aexceyplus * dezplus + cexdeyplus * aezplus) * blift +
- (aexbeyplus * dezplus + bexdeyplus * aezplus + dexaeyplus * bezplus) * clift +
- (bexceyplus * aezplus + aexceyplus * bezplus + aexbeyplus * cezplus) * dlift;
-
- const errbound = isperrboundA * permanent;
- if (det > errbound || -det > errbound) {
- return det;
- }
- return -insphereadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez, permanent);
- }
-
- function inspherefast(pax, pay, paz, pbx, pby, pbz, pcx, pcy, pcz, pdx, pdy, pdz, pex, pey, pez) {
- const aex = pax - pex;
- const bex = pbx - pex;
- const cex = pcx - pex;
- const dex = pdx - pex;
- const aey = pay - pey;
- const bey = pby - pey;
- const cey = pcy - pey;
- const dey = pdy - pey;
- const aez = paz - pez;
- const bez = pbz - pez;
- const cez = pcz - pez;
- const dez = pdz - pez;
-
- const ab = aex * bey - bex * aey;
- const bc = bex * cey - cex * bey;
- const cd = cex * dey - dex * cey;
- const da = dex * aey - aex * dey;
- const ac = aex * cey - cex * aey;
- const bd = bex * dey - dex * bey;
-
- const abc = aez * bc - bez * ac + cez * ab;
- const bcd = bez * cd - cez * bd + dez * bc;
- const cda = cez * da + dez * ac + aez * cd;
- const dab = dez * ab + aez * bd + bez * da;
-
- const alift = aex * aex + aey * aey + aez * aez;
- const blift = bex * bex + bey * bey + bez * bez;
- const clift = cex * cex + cey * cey + cez * cez;
- const dlift = dex * dex + dey * dey + dez * dez;
-
- return (clift * dab - dlift * abc) + (alift * bcd - blift * cda);
- }
-
- exports.insphere = insphere;
- exports.inspherefast = inspherefast;
-
- }));
|