| [e4c61dd] | 1 | import {epsilon, splitter, resulterrbound, estimate, vec, sum} from './util.js';
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| 2 |
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| 3 | const ccwerrboundA = (3 + 16 * epsilon) * epsilon;
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| 4 | const ccwerrboundB = (2 + 12 * epsilon) * epsilon;
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| 5 | const ccwerrboundC = (9 + 64 * epsilon) * epsilon * epsilon;
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| 6 |
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| 7 | const B = vec(4);
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| 8 | const C1 = vec(8);
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| 9 | const C2 = vec(12);
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| 10 | const D = vec(16);
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| 11 | const u = vec(4);
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| 12 |
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| 13 | function orient2dadapt(ax, ay, bx, by, cx, cy, detsum) {
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| 14 | let acxtail, acytail, bcxtail, bcytail;
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| 15 | let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3;
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| 16 |
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| 17 | const acx = ax - cx;
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| 18 | const bcx = bx - cx;
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| 19 | const acy = ay - cy;
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| 20 | const bcy = by - cy;
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| 21 |
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| 22 | s1 = acx * bcy;
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| 23 | c = splitter * acx;
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| 24 | ahi = c - (c - acx);
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| 25 | alo = acx - ahi;
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| 26 | c = splitter * bcy;
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| 27 | bhi = c - (c - bcy);
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| 28 | blo = bcy - bhi;
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| 29 | s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 30 | t1 = acy * bcx;
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| 31 | c = splitter * acy;
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| 32 | ahi = c - (c - acy);
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| 33 | alo = acy - ahi;
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| 34 | c = splitter * bcx;
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| 35 | bhi = c - (c - bcx);
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| 36 | blo = bcx - bhi;
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| 37 | t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
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| 38 | _i = s0 - t0;
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| 39 | bvirt = s0 - _i;
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| 40 | B[0] = s0 - (_i + bvirt) + (bvirt - t0);
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| 41 | _j = s1 + _i;
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| 42 | bvirt = _j - s1;
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| 43 | _0 = s1 - (_j - bvirt) + (_i - bvirt);
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| 44 | _i = _0 - t1;
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| 45 | bvirt = _0 - _i;
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| 46 | B[1] = _0 - (_i + bvirt) + (bvirt - t1);
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| 47 | u3 = _j + _i;
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| 48 | bvirt = u3 - _j;
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| 49 | B[2] = _j - (u3 - bvirt) + (_i - bvirt);
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| 50 | B[3] = u3;
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| 51 |
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| 52 | let det = estimate(4, B);
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| 53 | let errbound = ccwerrboundB * detsum;
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| 54 | if (det >= errbound || -det >= errbound) {
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| 55 | return det;
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| 56 | }
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| 57 |
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| 58 | bvirt = ax - acx;
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| 59 | acxtail = ax - (acx + bvirt) + (bvirt - cx);
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| 60 | bvirt = bx - bcx;
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| 61 | bcxtail = bx - (bcx + bvirt) + (bvirt - cx);
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| 62 | bvirt = ay - acy;
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| 63 | acytail = ay - (acy + bvirt) + (bvirt - cy);
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| 64 | bvirt = by - bcy;
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| 65 | bcytail = by - (bcy + bvirt) + (bvirt - cy);
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| 66 |
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| 67 | if (acxtail === 0 && acytail === 0 && bcxtail === 0 && bcytail === 0) {
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| 68 | return det;
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| 69 | }
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| 70 |
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| 71 | errbound = ccwerrboundC * detsum + resulterrbound * Math.abs(det);
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| 72 | det += (acx * bcytail + bcy * acxtail) - (acy * bcxtail + bcx * acytail);
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| 73 | if (det >= errbound || -det >= errbound) return det;
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| 74 |
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| 75 | s1 = acxtail * bcy;
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| 76 | c = splitter * acxtail;
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| 77 | ahi = c - (c - acxtail);
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| 78 | alo = acxtail - ahi;
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| 79 | c = splitter * bcy;
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| 80 | bhi = c - (c - bcy);
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| 81 | blo = bcy - bhi;
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| 82 | s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 83 | t1 = acytail * bcx;
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| 84 | c = splitter * acytail;
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| 85 | ahi = c - (c - acytail);
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| 86 | alo = acytail - ahi;
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| 87 | c = splitter * bcx;
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| 88 | bhi = c - (c - bcx);
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| 89 | blo = bcx - bhi;
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| 90 | t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
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| 91 | _i = s0 - t0;
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| 92 | bvirt = s0 - _i;
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| 93 | u[0] = s0 - (_i + bvirt) + (bvirt - t0);
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| 94 | _j = s1 + _i;
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| 95 | bvirt = _j - s1;
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| 96 | _0 = s1 - (_j - bvirt) + (_i - bvirt);
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| 97 | _i = _0 - t1;
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| 98 | bvirt = _0 - _i;
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| 99 | u[1] = _0 - (_i + bvirt) + (bvirt - t1);
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| 100 | u3 = _j + _i;
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| 101 | bvirt = u3 - _j;
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| 102 | u[2] = _j - (u3 - bvirt) + (_i - bvirt);
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| 103 | u[3] = u3;
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| 104 | const C1len = sum(4, B, 4, u, C1);
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| 105 |
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| 106 | s1 = acx * bcytail;
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| 107 | c = splitter * acx;
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| 108 | ahi = c - (c - acx);
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| 109 | alo = acx - ahi;
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| 110 | c = splitter * bcytail;
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| 111 | bhi = c - (c - bcytail);
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| 112 | blo = bcytail - bhi;
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| 113 | s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 114 | t1 = acy * bcxtail;
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| 115 | c = splitter * acy;
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| 116 | ahi = c - (c - acy);
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| 117 | alo = acy - ahi;
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| 118 | c = splitter * bcxtail;
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| 119 | bhi = c - (c - bcxtail);
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| 120 | blo = bcxtail - bhi;
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| 121 | t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
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| 122 | _i = s0 - t0;
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| 123 | bvirt = s0 - _i;
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| 124 | u[0] = s0 - (_i + bvirt) + (bvirt - t0);
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| 125 | _j = s1 + _i;
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| 126 | bvirt = _j - s1;
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| 127 | _0 = s1 - (_j - bvirt) + (_i - bvirt);
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| 128 | _i = _0 - t1;
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| 129 | bvirt = _0 - _i;
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| 130 | u[1] = _0 - (_i + bvirt) + (bvirt - t1);
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| 131 | u3 = _j + _i;
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| 132 | bvirt = u3 - _j;
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| 133 | u[2] = _j - (u3 - bvirt) + (_i - bvirt);
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| 134 | u[3] = u3;
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| 135 | const C2len = sum(C1len, C1, 4, u, C2);
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| 136 |
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| 137 | s1 = acxtail * bcytail;
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| 138 | c = splitter * acxtail;
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| 139 | ahi = c - (c - acxtail);
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| 140 | alo = acxtail - ahi;
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| 141 | c = splitter * bcytail;
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| 142 | bhi = c - (c - bcytail);
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| 143 | blo = bcytail - bhi;
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| 144 | s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
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| 145 | t1 = acytail * bcxtail;
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| 146 | c = splitter * acytail;
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| 147 | ahi = c - (c - acytail);
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| 148 | alo = acytail - ahi;
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| 149 | c = splitter * bcxtail;
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| 150 | bhi = c - (c - bcxtail);
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| 151 | blo = bcxtail - bhi;
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| 152 | t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
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| 153 | _i = s0 - t0;
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| 154 | bvirt = s0 - _i;
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| 155 | u[0] = s0 - (_i + bvirt) + (bvirt - t0);
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| 156 | _j = s1 + _i;
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| 157 | bvirt = _j - s1;
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| 158 | _0 = s1 - (_j - bvirt) + (_i - bvirt);
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| 159 | _i = _0 - t1;
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| 160 | bvirt = _0 - _i;
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| 161 | u[1] = _0 - (_i + bvirt) + (bvirt - t1);
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| 162 | u3 = _j + _i;
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| 163 | bvirt = u3 - _j;
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| 164 | u[2] = _j - (u3 - bvirt) + (_i - bvirt);
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| 165 | u[3] = u3;
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| 166 | const Dlen = sum(C2len, C2, 4, u, D);
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| 167 |
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| 168 | return D[Dlen - 1];
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| 169 | }
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| 170 |
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| 171 | export function orient2d(ax, ay, bx, by, cx, cy) {
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| 172 | const detleft = (ay - cy) * (bx - cx);
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| 173 | const detright = (ax - cx) * (by - cy);
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| 174 | const det = detleft - detright;
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| 175 |
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| 176 | const detsum = Math.abs(detleft + detright);
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| 177 | if (Math.abs(det) >= ccwerrboundA * detsum) return det;
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| 178 |
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| 179 | return -orient2dadapt(ax, ay, bx, by, cx, cy, detsum);
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| 180 | }
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| 181 |
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| 182 | export function orient2dfast(ax, ay, bx, by, cx, cy) {
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| 183 | return (ay - cy) * (bx - cx) - (ax - cx) * (by - cy);
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| 184 | }
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