| 1 | (function (global, factory) {
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| 2 | typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) :
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| 3 | typeof define === 'function' && define.amd ? define(['exports'], factory) :
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| 4 | (global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.predicates = {}));
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| 5 | })(this, (function (exports) { 'use strict';
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| 6 |
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| 7 | const epsilon = 1.1102230246251565e-16;
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| 8 | const splitter = 134217729;
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| 9 | const resulterrbound = (3 + 8 * epsilon) * epsilon;
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| 10 |
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| 11 | // fast_expansion_sum_zeroelim routine from oritinal code
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| 12 | function sum(elen, e, flen, f, h) {
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| 13 | let Q, Qnew, hh, bvirt;
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| 14 | let enow = e[0];
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| 15 | let fnow = f[0];
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| 16 | let eindex = 0;
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| 17 | let findex = 0;
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| 18 | if ((fnow > enow) === (fnow > -enow)) {
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| 19 | Q = enow;
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| 20 | enow = e[++eindex];
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| 21 | } else {
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| 22 | Q = fnow;
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| 23 | fnow = f[++findex];
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| 24 | }
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| 25 | let hindex = 0;
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| 26 | if (eindex < elen && findex < flen) {
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| 27 | if ((fnow > enow) === (fnow > -enow)) {
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| 28 | Qnew = enow + Q;
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| 29 | hh = Q - (Qnew - enow);
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| 30 | enow = e[++eindex];
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| 31 | } else {
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| 32 | Qnew = fnow + Q;
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| 33 | hh = Q - (Qnew - fnow);
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| 34 | fnow = f[++findex];
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| 35 | }
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| 36 | Q = Qnew;
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| 37 | if (hh !== 0) {
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| 38 | h[hindex++] = hh;
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| 39 | }
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| 40 | while (eindex < elen && findex < flen) {
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| 41 | if ((fnow > enow) === (fnow > -enow)) {
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| 42 | Qnew = Q + enow;
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| 43 | bvirt = Qnew - Q;
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| 44 | hh = Q - (Qnew - bvirt) + (enow - bvirt);
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| 45 | enow = e[++eindex];
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| 46 | } else {
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| 47 | Qnew = Q + fnow;
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| 48 | bvirt = Qnew - Q;
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| 49 | hh = Q - (Qnew - bvirt) + (fnow - bvirt);
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| 50 | fnow = f[++findex];
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| 51 | }
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| 52 | Q = Qnew;
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| 53 | if (hh !== 0) {
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| 54 | h[hindex++] = hh;
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| 55 | }
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| 56 | }
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| 57 | }
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| 58 | while (eindex < elen) {
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| 59 | Qnew = Q + enow;
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| 60 | bvirt = Qnew - Q;
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| 61 | hh = Q - (Qnew - bvirt) + (enow - bvirt);
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| 62 | enow = e[++eindex];
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| 63 | Q = Qnew;
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| 64 | if (hh !== 0) {
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| 65 | h[hindex++] = hh;
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| 66 | }
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| 67 | }
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| 68 | while (findex < flen) {
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| 69 | Qnew = Q + fnow;
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| 70 | bvirt = Qnew - Q;
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| 71 | hh = Q - (Qnew - bvirt) + (fnow - bvirt);
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| 72 | fnow = f[++findex];
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| 73 | Q = Qnew;
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| 74 | if (hh !== 0) {
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| 75 | h[hindex++] = hh;
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| 76 | }
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| 77 | }
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| 78 | if (Q !== 0 || hindex === 0) {
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| 79 | h[hindex++] = Q;
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| 80 | }
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| 81 | return hindex;
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| 82 | }
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| 83 |
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| 84 | // scale_expansion_zeroelim routine from oritinal code
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| 85 | function scale(elen, e, b, h) {
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| 86 | let Q, sum, hh, product1, product0;
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| 87 | let bvirt, c, ahi, alo, bhi, blo;
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| 88 |
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| 89 | c = splitter * b;
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| 90 | bhi = c - (c - b);
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| 91 | blo = b - bhi;
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| 92 | let enow = e[0];
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| 93 | Q = enow * b;
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| 94 | c = splitter * enow;
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| 95 | ahi = c - (c - enow);
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| 96 | alo = enow - ahi;
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| 97 | hh = alo * blo - (Q - ahi * bhi - alo * bhi - ahi * blo);
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| 98 | let hindex = 0;
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| 99 | if (hh !== 0) {
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| 100 | h[hindex++] = hh;
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| 101 | }
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| 102 | for (let i = 1; i < elen; i++) {
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| 103 | enow = e[i];
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| 104 | product1 = enow * b;
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| 105 | c = splitter * enow;
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| 106 | ahi = c - (c - enow);
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| 107 | alo = enow - ahi;
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| 108 | product0 = alo * blo - (product1 - ahi * bhi - alo * bhi - ahi * blo);
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| 109 | sum = Q + product0;
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| 110 | bvirt = sum - Q;
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| 111 | hh = Q - (sum - bvirt) + (product0 - bvirt);
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| 112 | if (hh !== 0) {
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| 113 | h[hindex++] = hh;
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| 114 | }
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| 115 | Q = product1 + sum;
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| 116 | hh = sum - (Q - product1);
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| 117 | if (hh !== 0) {
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| 118 | h[hindex++] = hh;
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| 119 | }
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| 120 | }
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| 121 | if (Q !== 0 || hindex === 0) {
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| 122 | h[hindex++] = Q;
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| 123 | }
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| 124 | return hindex;
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| 125 | }
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| 126 |
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| 127 | function estimate(elen, e) {
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| 128 | let Q = e[0];
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| 129 | for (let i = 1; i < elen; i++) Q += e[i];
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| 130 | return Q;
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| 131 | }
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| 132 |
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| 133 | function vec(n) {
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| 134 | return new Float64Array(n);
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| 135 | }
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| 136 |
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| 137 | const o3derrboundA = (7 + 56 * epsilon) * epsilon;
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| 138 | const o3derrboundB = (3 + 28 * epsilon) * epsilon;
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| 139 | const o3derrboundC = (26 + 288 * epsilon) * epsilon * epsilon;
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| 140 |
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| 141 | const bc = vec(4);
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| 142 | const ca = vec(4);
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| 143 | const ab = vec(4);
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| 144 | const at_b = vec(4);
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| 145 | const at_c = vec(4);
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| 146 | const bt_c = vec(4);
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| 147 | const bt_a = vec(4);
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| 148 | const ct_a = vec(4);
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| 149 | const ct_b = vec(4);
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| 150 | const bct = vec(8);
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| 151 | const cat = vec(8);
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| 152 | const abt = vec(8);
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| 153 | const u = vec(4);
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| 154 |
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| 155 | const _8 = vec(8);
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| 156 | const _8b = vec(8);
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| 157 | const _16 = vec(8);
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| 158 | const _12 = vec(12);
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| 159 |
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| 160 | let fin = vec(192);
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| 161 | let fin2 = vec(192);
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| 162 |
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| 163 | function finadd(finlen, alen, a) {
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| 164 | finlen = sum(finlen, fin, alen, a, fin2);
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| 165 | const tmp = fin; fin = fin2; fin2 = tmp;
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| 166 | return finlen;
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| 167 | }
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| 168 |
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| 169 | function tailinit(xtail, ytail, ax, ay, bx, by, a, b) {
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| 170 | let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3, negate;
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| 171 | if (xtail === 0) {
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| 172 | if (ytail === 0) {
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| 173 | a[0] = 0;
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| 174 | b[0] = 0;
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| 175 | return 1;
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| 176 | } else {
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| 177 | negate = -ytail;
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| 178 | s1 = negate * ax;
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| 179 | c = splitter * negate;
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| 180 | ahi = c - (c - negate);
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| 181 | alo = negate - ahi;
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| 182 | c = splitter * ax;
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| 183 | bhi = c - (c - ax);
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| 184 | blo = ax - bhi;
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| 185 | a[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 186 | a[1] = s1;
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| 187 | s1 = ytail * bx;
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| 188 | c = splitter * ytail;
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| 189 | ahi = c - (c - ytail);
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| 190 | alo = ytail - ahi;
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| 191 | c = splitter * bx;
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| 192 | bhi = c - (c - bx);
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| 193 | blo = bx - bhi;
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| 194 | b[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 195 | b[1] = s1;
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| 196 | return 2;
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| 197 | }
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| 198 | } else {
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| 199 | if (ytail === 0) {
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| 200 | s1 = xtail * ay;
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| 201 | c = splitter * xtail;
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| 202 | ahi = c - (c - xtail);
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| 203 | alo = xtail - ahi;
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| 204 | c = splitter * ay;
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| 205 | bhi = c - (c - ay);
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| 206 | blo = ay - bhi;
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| 207 | a[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 208 | a[1] = s1;
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| 209 | negate = -xtail;
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| 210 | s1 = negate * by;
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| 211 | c = splitter * negate;
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| 212 | ahi = c - (c - negate);
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| 213 | alo = negate - ahi;
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| 214 | c = splitter * by;
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| 215 | bhi = c - (c - by);
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| 216 | blo = by - bhi;
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| 217 | b[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 218 | b[1] = s1;
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| 219 | return 2;
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| 220 | } else {
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| 221 | s1 = xtail * ay;
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| 222 | c = splitter * xtail;
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| 223 | ahi = c - (c - xtail);
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| 224 | alo = xtail - ahi;
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| 225 | c = splitter * ay;
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| 226 | bhi = c - (c - ay);
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| 227 | blo = ay - bhi;
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| 228 | s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 229 | t1 = ytail * ax;
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| 230 | c = splitter * ytail;
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| 231 | ahi = c - (c - ytail);
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| 232 | alo = ytail - ahi;
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| 233 | c = splitter * ax;
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| 234 | bhi = c - (c - ax);
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| 235 | blo = ax - bhi;
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| 236 | t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
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| 237 | _i = s0 - t0;
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| 238 | bvirt = s0 - _i;
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| 239 | a[0] = s0 - (_i + bvirt) + (bvirt - t0);
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| 240 | _j = s1 + _i;
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| 241 | bvirt = _j - s1;
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| 242 | _0 = s1 - (_j - bvirt) + (_i - bvirt);
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| 243 | _i = _0 - t1;
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| 244 | bvirt = _0 - _i;
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| 245 | a[1] = _0 - (_i + bvirt) + (bvirt - t1);
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| 246 | u3 = _j + _i;
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| 247 | bvirt = u3 - _j;
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| 248 | a[2] = _j - (u3 - bvirt) + (_i - bvirt);
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| 249 | a[3] = u3;
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| 250 | s1 = ytail * bx;
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| 251 | c = splitter * ytail;
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| 252 | ahi = c - (c - ytail);
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| 253 | alo = ytail - ahi;
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| 254 | c = splitter * bx;
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| 255 | bhi = c - (c - bx);
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| 256 | blo = bx - bhi;
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| 257 | s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 258 | t1 = xtail * by;
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| 259 | c = splitter * xtail;
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| 260 | ahi = c - (c - xtail);
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| 261 | alo = xtail - ahi;
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| 262 | c = splitter * by;
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| 263 | bhi = c - (c - by);
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| 264 | blo = by - bhi;
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| 265 | t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
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| 266 | _i = s0 - t0;
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| 267 | bvirt = s0 - _i;
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| 268 | b[0] = s0 - (_i + bvirt) + (bvirt - t0);
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| 269 | _j = s1 + _i;
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| 270 | bvirt = _j - s1;
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| 271 | _0 = s1 - (_j - bvirt) + (_i - bvirt);
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| 272 | _i = _0 - t1;
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| 273 | bvirt = _0 - _i;
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| 274 | b[1] = _0 - (_i + bvirt) + (bvirt - t1);
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| 275 | u3 = _j + _i;
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| 276 | bvirt = u3 - _j;
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| 277 | b[2] = _j - (u3 - bvirt) + (_i - bvirt);
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| 278 | b[3] = u3;
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| 279 | return 4;
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| 280 | }
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| 281 | }
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| 282 | }
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| 283 |
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| 284 | function tailadd(finlen, a, b, k, z) {
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| 285 | let bvirt, c, ahi, alo, bhi, blo, _i, _j, _k, _0, s1, s0, u3;
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| 286 | s1 = a * b;
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| 287 | c = splitter * a;
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| 288 | ahi = c - (c - a);
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| 289 | alo = a - ahi;
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| 290 | c = splitter * b;
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| 291 | bhi = c - (c - b);
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| 292 | blo = b - bhi;
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| 293 | s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 294 | c = splitter * k;
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| 295 | bhi = c - (c - k);
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| 296 | blo = k - bhi;
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| 297 | _i = s0 * k;
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| 298 | c = splitter * s0;
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| 299 | ahi = c - (c - s0);
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| 300 | alo = s0 - ahi;
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| 301 | u[0] = alo * blo - (_i - ahi * bhi - alo * bhi - ahi * blo);
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| 302 | _j = s1 * k;
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| 303 | c = splitter * s1;
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| 304 | ahi = c - (c - s1);
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| 305 | alo = s1 - ahi;
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| 306 | _0 = alo * blo - (_j - ahi * bhi - alo * bhi - ahi * blo);
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| 307 | _k = _i + _0;
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| 308 | bvirt = _k - _i;
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| 309 | u[1] = _i - (_k - bvirt) + (_0 - bvirt);
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| 310 | u3 = _j + _k;
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| 311 | u[2] = _k - (u3 - _j);
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| 312 | u[3] = u3;
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| 313 | finlen = finadd(finlen, 4, u);
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| 314 | if (z !== 0) {
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| 315 | c = splitter * z;
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| 316 | bhi = c - (c - z);
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| 317 | blo = z - bhi;
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| 318 | _i = s0 * z;
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| 319 | c = splitter * s0;
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| 320 | ahi = c - (c - s0);
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| 321 | alo = s0 - ahi;
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| 322 | u[0] = alo * blo - (_i - ahi * bhi - alo * bhi - ahi * blo);
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| 323 | _j = s1 * z;
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| 324 | c = splitter * s1;
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| 325 | ahi = c - (c - s1);
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| 326 | alo = s1 - ahi;
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| 327 | _0 = alo * blo - (_j - ahi * bhi - alo * bhi - ahi * blo);
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| 328 | _k = _i + _0;
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| 329 | bvirt = _k - _i;
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| 330 | u[1] = _i - (_k - bvirt) + (_0 - bvirt);
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| 331 | u3 = _j + _k;
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| 332 | u[2] = _k - (u3 - _j);
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| 333 | u[3] = u3;
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| 334 | finlen = finadd(finlen, 4, u);
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| 335 | }
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| 336 | return finlen;
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| 337 | }
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| 338 |
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| 339 | function orient3dadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, permanent) {
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| 340 | let finlen;
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| 341 | let adxtail, bdxtail, cdxtail;
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| 342 | let adytail, bdytail, cdytail;
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| 343 | let adztail, bdztail, cdztail;
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| 344 | let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3;
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| 345 |
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| 346 | const adx = ax - dx;
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| 347 | const bdx = bx - dx;
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| 348 | const cdx = cx - dx;
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| 349 | const ady = ay - dy;
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| 350 | const bdy = by - dy;
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| 351 | const cdy = cy - dy;
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| 352 | const adz = az - dz;
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| 353 | const bdz = bz - dz;
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| 354 | const cdz = cz - dz;
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| 355 |
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| 356 | s1 = bdx * cdy;
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| 357 | c = splitter * bdx;
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| 358 | ahi = c - (c - bdx);
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| 359 | alo = bdx - ahi;
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| 360 | c = splitter * cdy;
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| 361 | bhi = c - (c - cdy);
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| 362 | blo = cdy - bhi;
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| 363 | s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 364 | t1 = cdx * bdy;
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| 365 | c = splitter * cdx;
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| 366 | ahi = c - (c - cdx);
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| 367 | alo = cdx - ahi;
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| 368 | c = splitter * bdy;
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| 369 | bhi = c - (c - bdy);
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| 370 | blo = bdy - bhi;
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| 371 | t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
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| 372 | _i = s0 - t0;
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| 373 | bvirt = s0 - _i;
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| 374 | bc[0] = s0 - (_i + bvirt) + (bvirt - t0);
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| 375 | _j = s1 + _i;
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| 376 | bvirt = _j - s1;
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| 377 | _0 = s1 - (_j - bvirt) + (_i - bvirt);
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| 378 | _i = _0 - t1;
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| 379 | bvirt = _0 - _i;
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| 380 | bc[1] = _0 - (_i + bvirt) + (bvirt - t1);
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| 381 | u3 = _j + _i;
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| 382 | bvirt = u3 - _j;
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| 383 | bc[2] = _j - (u3 - bvirt) + (_i - bvirt);
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| 384 | bc[3] = u3;
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| 385 | s1 = cdx * ady;
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| 386 | c = splitter * cdx;
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| 387 | ahi = c - (c - cdx);
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| 388 | alo = cdx - ahi;
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| 389 | c = splitter * ady;
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| 390 | bhi = c - (c - ady);
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| 391 | blo = ady - bhi;
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| 392 | s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 393 | t1 = adx * cdy;
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| 394 | c = splitter * adx;
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| 395 | ahi = c - (c - adx);
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| 396 | alo = adx - ahi;
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| 397 | c = splitter * cdy;
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| 398 | bhi = c - (c - cdy);
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| 399 | blo = cdy - bhi;
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| 400 | t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
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| 401 | _i = s0 - t0;
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| 402 | bvirt = s0 - _i;
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| 403 | ca[0] = s0 - (_i + bvirt) + (bvirt - t0);
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| 404 | _j = s1 + _i;
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| 405 | bvirt = _j - s1;
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| 406 | _0 = s1 - (_j - bvirt) + (_i - bvirt);
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| 407 | _i = _0 - t1;
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| 408 | bvirt = _0 - _i;
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| 409 | ca[1] = _0 - (_i + bvirt) + (bvirt - t1);
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| 410 | u3 = _j + _i;
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| 411 | bvirt = u3 - _j;
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| 412 | ca[2] = _j - (u3 - bvirt) + (_i - bvirt);
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| 413 | ca[3] = u3;
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| 414 | s1 = adx * bdy;
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| 415 | c = splitter * adx;
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| 416 | ahi = c - (c - adx);
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| 417 | alo = adx - ahi;
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| 418 | c = splitter * bdy;
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| 419 | bhi = c - (c - bdy);
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| 420 | blo = bdy - bhi;
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| 421 | s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
|
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| 422 | t1 = bdx * ady;
|
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| 423 | c = splitter * bdx;
|
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| 424 | ahi = c - (c - bdx);
|
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| 425 | alo = bdx - ahi;
|
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| 426 | c = splitter * ady;
|
|---|
| 427 | bhi = c - (c - ady);
|
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| 428 | blo = ady - bhi;
|
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| 429 | t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
|
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| 430 | _i = s0 - t0;
|
|---|
| 431 | bvirt = s0 - _i;
|
|---|
| 432 | ab[0] = s0 - (_i + bvirt) + (bvirt - t0);
|
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| 433 | _j = s1 + _i;
|
|---|
| 434 | bvirt = _j - s1;
|
|---|
| 435 | _0 = s1 - (_j - bvirt) + (_i - bvirt);
|
|---|
| 436 | _i = _0 - t1;
|
|---|
| 437 | bvirt = _0 - _i;
|
|---|
| 438 | ab[1] = _0 - (_i + bvirt) + (bvirt - t1);
|
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| 439 | u3 = _j + _i;
|
|---|
| 440 | bvirt = u3 - _j;
|
|---|
| 441 | ab[2] = _j - (u3 - bvirt) + (_i - bvirt);
|
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| 442 | ab[3] = u3;
|
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| 443 |
|
|---|
| 444 | finlen = sum(
|
|---|
| 445 | sum(
|
|---|
| 446 | scale(4, bc, adz, _8), _8,
|
|---|
| 447 | scale(4, ca, bdz, _8b), _8b, _16), _16,
|
|---|
| 448 | scale(4, ab, cdz, _8), _8, fin);
|
|---|
| 449 |
|
|---|
| 450 | let det = estimate(finlen, fin);
|
|---|
| 451 | let errbound = o3derrboundB * permanent;
|
|---|
| 452 | if (det >= errbound || -det >= errbound) {
|
|---|
| 453 | return det;
|
|---|
| 454 | }
|
|---|
| 455 |
|
|---|
| 456 | bvirt = ax - adx;
|
|---|
| 457 | adxtail = ax - (adx + bvirt) + (bvirt - dx);
|
|---|
| 458 | bvirt = bx - bdx;
|
|---|
| 459 | bdxtail = bx - (bdx + bvirt) + (bvirt - dx);
|
|---|
| 460 | bvirt = cx - cdx;
|
|---|
| 461 | cdxtail = cx - (cdx + bvirt) + (bvirt - dx);
|
|---|
| 462 | bvirt = ay - ady;
|
|---|
| 463 | adytail = ay - (ady + bvirt) + (bvirt - dy);
|
|---|
| 464 | bvirt = by - bdy;
|
|---|
| 465 | bdytail = by - (bdy + bvirt) + (bvirt - dy);
|
|---|
| 466 | bvirt = cy - cdy;
|
|---|
| 467 | cdytail = cy - (cdy + bvirt) + (bvirt - dy);
|
|---|
| 468 | bvirt = az - adz;
|
|---|
| 469 | adztail = az - (adz + bvirt) + (bvirt - dz);
|
|---|
| 470 | bvirt = bz - bdz;
|
|---|
| 471 | bdztail = bz - (bdz + bvirt) + (bvirt - dz);
|
|---|
| 472 | bvirt = cz - cdz;
|
|---|
| 473 | cdztail = cz - (cdz + bvirt) + (bvirt - dz);
|
|---|
| 474 |
|
|---|
| 475 | if (adxtail === 0 && bdxtail === 0 && cdxtail === 0 &&
|
|---|
| 476 | adytail === 0 && bdytail === 0 && cdytail === 0 &&
|
|---|
| 477 | adztail === 0 && bdztail === 0 && cdztail === 0) {
|
|---|
| 478 | return det;
|
|---|
| 479 | }
|
|---|
| 480 |
|
|---|
| 481 | errbound = o3derrboundC * permanent + resulterrbound * Math.abs(det);
|
|---|
| 482 | det +=
|
|---|
| 483 | adz * (bdx * cdytail + cdy * bdxtail - (bdy * cdxtail + cdx * bdytail)) + adztail * (bdx * cdy - bdy * cdx) +
|
|---|
| 484 | bdz * (cdx * adytail + ady * cdxtail - (cdy * adxtail + adx * cdytail)) + bdztail * (cdx * ady - cdy * adx) +
|
|---|
| 485 | cdz * (adx * bdytail + bdy * adxtail - (ady * bdxtail + bdx * adytail)) + cdztail * (adx * bdy - ady * bdx);
|
|---|
| 486 | if (det >= errbound || -det >= errbound) {
|
|---|
| 487 | return det;
|
|---|
| 488 | }
|
|---|
| 489 |
|
|---|
| 490 | const at_len = tailinit(adxtail, adytail, bdx, bdy, cdx, cdy, at_b, at_c);
|
|---|
| 491 | const bt_len = tailinit(bdxtail, bdytail, cdx, cdy, adx, ady, bt_c, bt_a);
|
|---|
| 492 | const ct_len = tailinit(cdxtail, cdytail, adx, ady, bdx, bdy, ct_a, ct_b);
|
|---|
| 493 |
|
|---|
| 494 | const bctlen = sum(bt_len, bt_c, ct_len, ct_b, bct);
|
|---|
| 495 | finlen = finadd(finlen, scale(bctlen, bct, adz, _16), _16);
|
|---|
| 496 |
|
|---|
| 497 | const catlen = sum(ct_len, ct_a, at_len, at_c, cat);
|
|---|
| 498 | finlen = finadd(finlen, scale(catlen, cat, bdz, _16), _16);
|
|---|
| 499 |
|
|---|
| 500 | const abtlen = sum(at_len, at_b, bt_len, bt_a, abt);
|
|---|
| 501 | finlen = finadd(finlen, scale(abtlen, abt, cdz, _16), _16);
|
|---|
| 502 |
|
|---|
| 503 | if (adztail !== 0) {
|
|---|
| 504 | finlen = finadd(finlen, scale(4, bc, adztail, _12), _12);
|
|---|
| 505 | finlen = finadd(finlen, scale(bctlen, bct, adztail, _16), _16);
|
|---|
| 506 | }
|
|---|
| 507 | if (bdztail !== 0) {
|
|---|
| 508 | finlen = finadd(finlen, scale(4, ca, bdztail, _12), _12);
|
|---|
| 509 | finlen = finadd(finlen, scale(catlen, cat, bdztail, _16), _16);
|
|---|
| 510 | }
|
|---|
| 511 | if (cdztail !== 0) {
|
|---|
| 512 | finlen = finadd(finlen, scale(4, ab, cdztail, _12), _12);
|
|---|
| 513 | finlen = finadd(finlen, scale(abtlen, abt, cdztail, _16), _16);
|
|---|
| 514 | }
|
|---|
| 515 |
|
|---|
| 516 | if (adxtail !== 0) {
|
|---|
| 517 | if (bdytail !== 0) {
|
|---|
| 518 | finlen = tailadd(finlen, adxtail, bdytail, cdz, cdztail);
|
|---|
| 519 | }
|
|---|
| 520 | if (cdytail !== 0) {
|
|---|
| 521 | finlen = tailadd(finlen, -adxtail, cdytail, bdz, bdztail);
|
|---|
| 522 | }
|
|---|
| 523 | }
|
|---|
| 524 | if (bdxtail !== 0) {
|
|---|
| 525 | if (cdytail !== 0) {
|
|---|
| 526 | finlen = tailadd(finlen, bdxtail, cdytail, adz, adztail);
|
|---|
| 527 | }
|
|---|
| 528 | if (adytail !== 0) {
|
|---|
| 529 | finlen = tailadd(finlen, -bdxtail, adytail, cdz, cdztail);
|
|---|
| 530 | }
|
|---|
| 531 | }
|
|---|
| 532 | if (cdxtail !== 0) {
|
|---|
| 533 | if (adytail !== 0) {
|
|---|
| 534 | finlen = tailadd(finlen, cdxtail, adytail, bdz, bdztail);
|
|---|
| 535 | }
|
|---|
| 536 | if (bdytail !== 0) {
|
|---|
| 537 | finlen = tailadd(finlen, -cdxtail, bdytail, adz, adztail);
|
|---|
| 538 | }
|
|---|
| 539 | }
|
|---|
| 540 |
|
|---|
| 541 | return fin[finlen - 1];
|
|---|
| 542 | }
|
|---|
| 543 |
|
|---|
| 544 | function orient3d(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz) {
|
|---|
| 545 | const adx = ax - dx;
|
|---|
| 546 | const bdx = bx - dx;
|
|---|
| 547 | const cdx = cx - dx;
|
|---|
| 548 | const ady = ay - dy;
|
|---|
| 549 | const bdy = by - dy;
|
|---|
| 550 | const cdy = cy - dy;
|
|---|
| 551 | const adz = az - dz;
|
|---|
| 552 | const bdz = bz - dz;
|
|---|
| 553 | const cdz = cz - dz;
|
|---|
| 554 |
|
|---|
| 555 | const bdxcdy = bdx * cdy;
|
|---|
| 556 | const cdxbdy = cdx * bdy;
|
|---|
| 557 |
|
|---|
| 558 | const cdxady = cdx * ady;
|
|---|
| 559 | const adxcdy = adx * cdy;
|
|---|
| 560 |
|
|---|
| 561 | const adxbdy = adx * bdy;
|
|---|
| 562 | const bdxady = bdx * ady;
|
|---|
| 563 |
|
|---|
| 564 | const det =
|
|---|
| 565 | adz * (bdxcdy - cdxbdy) +
|
|---|
| 566 | bdz * (cdxady - adxcdy) +
|
|---|
| 567 | cdz * (adxbdy - bdxady);
|
|---|
| 568 |
|
|---|
| 569 | const permanent =
|
|---|
| 570 | (Math.abs(bdxcdy) + Math.abs(cdxbdy)) * Math.abs(adz) +
|
|---|
| 571 | (Math.abs(cdxady) + Math.abs(adxcdy)) * Math.abs(bdz) +
|
|---|
| 572 | (Math.abs(adxbdy) + Math.abs(bdxady)) * Math.abs(cdz);
|
|---|
| 573 |
|
|---|
| 574 | const errbound = o3derrboundA * permanent;
|
|---|
| 575 | if (det > errbound || -det > errbound) {
|
|---|
| 576 | return det;
|
|---|
| 577 | }
|
|---|
| 578 |
|
|---|
| 579 | return orient3dadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, permanent);
|
|---|
| 580 | }
|
|---|
| 581 |
|
|---|
| 582 | function orient3dfast(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz) {
|
|---|
| 583 | const adx = ax - dx;
|
|---|
| 584 | const bdx = bx - dx;
|
|---|
| 585 | const cdx = cx - dx;
|
|---|
| 586 | const ady = ay - dy;
|
|---|
| 587 | const bdy = by - dy;
|
|---|
| 588 | const cdy = cy - dy;
|
|---|
| 589 | const adz = az - dz;
|
|---|
| 590 | const bdz = bz - dz;
|
|---|
| 591 | const cdz = cz - dz;
|
|---|
| 592 |
|
|---|
| 593 | return adx * (bdy * cdz - bdz * cdy) +
|
|---|
| 594 | bdx * (cdy * adz - cdz * ady) +
|
|---|
| 595 | cdx * (ady * bdz - adz * bdy);
|
|---|
| 596 | }
|
|---|
| 597 |
|
|---|
| 598 | exports.orient3d = orient3d;
|
|---|
| 599 | exports.orient3dfast = orient3dfast;
|
|---|
| 600 |
|
|---|
| 601 | }));
|
|---|
