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import {epsilon, splitter, resulterrbound, estimate, vec, sum, sum_three, scale} from './util.js'; |
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const iccerrboundA = (10 + 96 * epsilon) * epsilon; |
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const iccerrboundB = (4 + 48 * epsilon) * epsilon; |
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const iccerrboundC = (44 + 576 * epsilon) * epsilon * epsilon; |
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const bc = vec(4); |
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const ca = vec(4); |
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const ab = vec(4); |
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const aa = vec(4); |
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const bb = vec(4); |
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const cc = vec(4); |
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const u = vec(4); |
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const v = vec(4); |
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const axtbc = vec(8); |
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const aytbc = vec(8); |
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const bxtca = vec(8); |
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const bytca = vec(8); |
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const cxtab = vec(8); |
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const cytab = vec(8); |
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const abt = vec(8); |
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const bct = vec(8); |
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const cat = vec(8); |
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const abtt = vec(4); |
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const bctt = vec(4); |
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const catt = vec(4); |
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const _8 = vec(8); |
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const _16 = vec(16); |
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const _16b = vec(16); |
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const _16c = vec(16); |
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const _32 = vec(32); |
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const _32b = vec(32); |
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const _48 = vec(48); |
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const _64 = vec(64); |
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let fin = vec(1152); |
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let fin2 = vec(1152); |
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function finadd(finlen, a, alen) { |
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finlen = sum(finlen, fin, a, alen, fin2); |
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const tmp = fin; fin = fin2; fin2 = tmp; |
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return finlen; |
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} |
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function incircleadapt(ax, ay, bx, by, cx, cy, dx, dy, permanent) { |
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let finlen; |
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let adxtail, bdxtail, cdxtail, adytail, bdytail, cdytail; |
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let axtbclen, aytbclen, bxtcalen, bytcalen, cxtablen, cytablen; |
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let abtlen, bctlen, catlen; |
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let abttlen, bcttlen, cattlen; |
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let n1, n0; |
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let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3; |
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const adx = ax - dx; |
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const bdx = bx - dx; |
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const cdx = cx - dx; |
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const ady = ay - dy; |
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const bdy = by - dy; |
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const cdy = cy - dy; |
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s1 = bdx * cdy; |
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c = splitter * bdx; |
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ahi = c - (c - bdx); |
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alo = bdx - ahi; |
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c = splitter * cdy; |
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bhi = c - (c - cdy); |
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blo = cdy - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = cdx * bdy; |
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c = splitter * cdx; |
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ahi = c - (c - cdx); |
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alo = cdx - ahi; |
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c = splitter * bdy; |
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bhi = c - (c - bdy); |
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blo = bdy - 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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bc[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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bc[1] = _0 - (_i + bvirt) + (bvirt - t1); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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bc[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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bc[3] = u3; |
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s1 = cdx * ady; |
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c = splitter * cdx; |
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ahi = c - (c - cdx); |
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alo = cdx - ahi; |
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c = splitter * ady; |
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bhi = c - (c - ady); |
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blo = ady - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = adx * cdy; |
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c = splitter * adx; |
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ahi = c - (c - adx); |
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alo = adx - ahi; |
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c = splitter * cdy; |
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bhi = c - (c - cdy); |
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blo = cdy - 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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ca[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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ca[1] = _0 - (_i + bvirt) + (bvirt - t1); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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ca[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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ca[3] = u3; |
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s1 = adx * bdy; |
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c = splitter * adx; |
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ahi = c - (c - adx); |
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alo = adx - ahi; |
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c = splitter * bdy; |
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bhi = c - (c - bdy); |
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blo = bdy - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = bdx * ady; |
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c = splitter * bdx; |
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ahi = c - (c - bdx); |
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alo = bdx - ahi; |
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c = splitter * ady; |
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bhi = c - (c - ady); |
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blo = ady - 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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ab[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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ab[1] = _0 - (_i + bvirt) + (bvirt - t1); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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ab[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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ab[3] = u3; |
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finlen = sum( |
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sum( |
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sum( |
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scale(scale(4, bc, adx, _8), _8, adx, _16), _16, |
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scale(scale(4, bc, ady, _8), _8, ady, _16b), _16b, _32), _32, |
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sum( |
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scale(scale(4, ca, bdx, _8), _8, bdx, _16), _16, |
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scale(scale(4, ca, bdy, _8), _8, bdy, _16b), _16b, _32b), _32b, _64), _64, |
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sum( |
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scale(scale(4, ab, cdx, _8), _8, cdx, _16), _16, |
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scale(scale(4, ab, cdy, _8), _8, cdy, _16b), _16b, _32), _32, fin); |
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let det = estimate(finlen, fin); |
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let errbound = iccerrboundB * permanent; |
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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 - adx; |
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adxtail = ax - (adx + bvirt) + (bvirt - dx); |
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bvirt = ay - ady; |
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adytail = ay - (ady + bvirt) + (bvirt - dy); |
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bvirt = bx - bdx; |
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bdxtail = bx - (bdx + bvirt) + (bvirt - dx); |
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bvirt = by - bdy; |
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bdytail = by - (bdy + bvirt) + (bvirt - dy); |
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bvirt = cx - cdx; |
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cdxtail = cx - (cdx + bvirt) + (bvirt - dx); |
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bvirt = cy - cdy; |
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cdytail = cy - (cdy + bvirt) + (bvirt - dy); |
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if (adxtail === 0 && bdxtail === 0 && cdxtail === 0 && adytail === 0 && bdytail === 0 && cdytail === 0) { |
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return det; |
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} |
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errbound = iccerrboundC * permanent + resulterrbound * Math.abs(det); |
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det += ((adx * adx + ady * ady) * ((bdx * cdytail + cdy * bdxtail) - (bdy * cdxtail + cdx * bdytail)) + |
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2 * (adx * adxtail + ady * adytail) * (bdx * cdy - bdy * cdx)) + |
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((bdx * bdx + bdy * bdy) * ((cdx * adytail + ady * cdxtail) - (cdy * adxtail + adx * cdytail)) + |
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2 * (bdx * bdxtail + bdy * bdytail) * (cdx * ady - cdy * adx)) + |
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((cdx * cdx + cdy * cdy) * ((adx * bdytail + bdy * adxtail) - (ady * bdxtail + bdx * adytail)) + |
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2 * (cdx * cdxtail + cdy * cdytail) * (adx * bdy - ady * bdx)); |
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if (det >= errbound || -det >= errbound) { |
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return det; |
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} |
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if (bdxtail !== 0 || bdytail !== 0 || cdxtail !== 0 || cdytail !== 0) { |
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s1 = adx * adx; |
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c = splitter * adx; |
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ahi = c - (c - adx); |
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alo = adx - ahi; |
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s0 = alo * alo - (s1 - ahi * ahi - (ahi + ahi) * alo); |
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t1 = ady * ady; |
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c = splitter * ady; |
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ahi = c - (c - ady); |
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alo = ady - ahi; |
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t0 = alo * alo - (t1 - ahi * ahi - (ahi + ahi) * alo); |
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_i = s0 + t0; |
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bvirt = _i - s0; |
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aa[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
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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 = _i - _0; |
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aa[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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aa[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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aa[3] = u3; |
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} |
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if (cdxtail !== 0 || cdytail !== 0 || adxtail !== 0 || adytail !== 0) { |
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s1 = bdx * bdx; |
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c = splitter * bdx; |
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ahi = c - (c - bdx); |
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alo = bdx - ahi; |
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s0 = alo * alo - (s1 - ahi * ahi - (ahi + ahi) * alo); |
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t1 = bdy * bdy; |
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c = splitter * bdy; |
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ahi = c - (c - bdy); |
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alo = bdy - ahi; |
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t0 = alo * alo - (t1 - ahi * ahi - (ahi + ahi) * alo); |
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_i = s0 + t0; |
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bvirt = _i - s0; |
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bb[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
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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 = _i - _0; |
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bb[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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bb[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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bb[3] = u3; |
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} |
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if (adxtail !== 0 || adytail !== 0 || bdxtail !== 0 || bdytail !== 0) { |
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s1 = cdx * cdx; |
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c = splitter * cdx; |
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ahi = c - (c - cdx); |
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alo = cdx - ahi; |
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s0 = alo * alo - (s1 - ahi * ahi - (ahi + ahi) * alo); |
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t1 = cdy * cdy; |
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c = splitter * cdy; |
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ahi = c - (c - cdy); |
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alo = cdy - ahi; |
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t0 = alo * alo - (t1 - ahi * ahi - (ahi + ahi) * alo); |
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_i = s0 + t0; |
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bvirt = _i - s0; |
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cc[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
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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 = _i - _0; |
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cc[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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cc[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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cc[3] = u3; |
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} |
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if (adxtail !== 0) { |
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axtbclen = scale(4, bc, adxtail, axtbc); |
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finlen = finadd(finlen, sum_three( |
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scale(axtbclen, axtbc, 2 * adx, _16), _16, |
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scale(scale(4, cc, adxtail, _8), _8, bdy, _16b), _16b, |
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scale(scale(4, bb, adxtail, _8), _8, -cdy, _16c), _16c, _32, _48), _48); |
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} |
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if (adytail !== 0) { |
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aytbclen = scale(4, bc, adytail, aytbc); |
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finlen = finadd(finlen, sum_three( |
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scale(aytbclen, aytbc, 2 * ady, _16), _16, |
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scale(scale(4, bb, adytail, _8), _8, cdx, _16b), _16b, |
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scale(scale(4, cc, adytail, _8), _8, -bdx, _16c), _16c, _32, _48), _48); |
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} |
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if (bdxtail !== 0) { |
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bxtcalen = scale(4, ca, bdxtail, bxtca); |
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finlen = finadd(finlen, sum_three( |
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scale(bxtcalen, bxtca, 2 * bdx, _16), _16, |
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scale(scale(4, aa, bdxtail, _8), _8, cdy, _16b), _16b, |
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scale(scale(4, cc, bdxtail, _8), _8, -ady, _16c), _16c, _32, _48), _48); |
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} |
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if (bdytail !== 0) { |
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bytcalen = scale(4, ca, bdytail, bytca); |
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finlen = finadd(finlen, sum_three( |
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scale(bytcalen, bytca, 2 * bdy, _16), _16, |
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scale(scale(4, cc, bdytail, _8), _8, adx, _16b), _16b, |
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scale(scale(4, aa, bdytail, _8), _8, -cdx, _16c), _16c, _32, _48), _48); |
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} |
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if (cdxtail !== 0) { |
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cxtablen = scale(4, ab, cdxtail, cxtab); |
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finlen = finadd(finlen, sum_three( |
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scale(cxtablen, cxtab, 2 * cdx, _16), _16, |
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scale(scale(4, bb, cdxtail, _8), _8, ady, _16b), _16b, |
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scale(scale(4, aa, cdxtail, _8), _8, -bdy, _16c), _16c, _32, _48), _48); |
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} |
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if (cdytail !== 0) { |
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cytablen = scale(4, ab, cdytail, cytab); |
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finlen = finadd(finlen, sum_three( |
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scale(cytablen, cytab, 2 * cdy, _16), _16, |
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scale(scale(4, aa, cdytail, _8), _8, bdx, _16b), _16b, |
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scale(scale(4, bb, cdytail, _8), _8, -adx, _16c), _16c, _32, _48), _48); |
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} |
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if (adxtail !== 0 || adytail !== 0) { |
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if (bdxtail !== 0 || bdytail !== 0 || cdxtail !== 0 || cdytail !== 0) { |
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s1 = bdxtail * cdy; |
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c = splitter * bdxtail; |
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ahi = c - (c - bdxtail); |
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alo = bdxtail - ahi; |
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c = splitter * cdy; |
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bhi = c - (c - cdy); |
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blo = cdy - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = bdx * cdytail; |
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c = splitter * bdx; |
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ahi = c - (c - bdx); |
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alo = bdx - ahi; |
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c = splitter * cdytail; |
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bhi = c - (c - cdytail); |
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blo = cdytail - 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 = _i - s0; |
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u[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
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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 = _i - _0; |
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u[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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u[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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u[3] = u3; |
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s1 = cdxtail * -bdy; |
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c = splitter * cdxtail; |
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ahi = c - (c - cdxtail); |
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alo = cdxtail - ahi; |
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c = splitter * -bdy; |
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bhi = c - (c - -bdy); |
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blo = -bdy - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = cdx * -bdytail; |
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c = splitter * cdx; |
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ahi = c - (c - cdx); |
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alo = cdx - ahi; |
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c = splitter * -bdytail; |
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bhi = c - (c - -bdytail); |
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blo = -bdytail - 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 = _i - s0; |
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v[0] = s0 - (_i - bvirt) + (t0 - bvirt); |
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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 = _i - _0; |
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v[1] = _0 - (_i - bvirt) + (t1 - bvirt); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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v[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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v[3] = u3; |
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bctlen = sum(4, u, 4, v, bct); |
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s1 = bdxtail * cdytail; |
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c = splitter * bdxtail; |
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ahi = c - (c - bdxtail); |
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alo = bdxtail - ahi; |
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c = splitter * cdytail; |
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bhi = c - (c - cdytail); |
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blo = cdytail - bhi; |
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s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); |
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t1 = cdxtail * bdytail; |
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c = splitter * cdxtail; |
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ahi = c - (c - cdxtail); |
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alo = cdxtail - ahi; |
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c = splitter * bdytail; |
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bhi = c - (c - bdytail); |
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blo = bdytail - 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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bctt[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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bctt[1] = _0 - (_i + bvirt) + (bvirt - t1); |
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u3 = _j + _i; |
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bvirt = u3 - _j; |
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bctt[2] = _j - (u3 - bvirt) + (_i - bvirt); |
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bctt[3] = u3; |
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bcttlen = 4; |
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} else { |
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bct[0] = 0; |
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bctlen = 1; |
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bctt[0] = 0; |
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bcttlen = 1; |
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} |
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if (adxtail !== 0) { |
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const len = scale(bctlen, bct, adxtail, _16c); |
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finlen = finadd(finlen, sum( |
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scale(axtbclen, axtbc, adxtail, _16), _16, |
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scale(len, _16c, 2 * adx, _32), _32, _48), _48); |
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const len2 = scale(bcttlen, bctt, adxtail, _8); |
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finlen = finadd(finlen, sum_three( |
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scale(len2, _8, 2 * adx, _16), _16, |
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scale(len2, _8, adxtail, _16b), _16b, |
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scale(len, _16c, adxtail, _32), _32, _32b, _64), _64); |
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if (bdytail !== 0) { |
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finlen = finadd(finlen, scale(scale(4, cc, adxtail, _8), _8, bdytail, _16), _16); |
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} |
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if (cdytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, bb, -adxtail, _8), _8, cdytail, _16), _16); |
|
} |
|
} |
|
if (adytail !== 0) { |
|
const len = scale(bctlen, bct, adytail, _16c); |
|
finlen = finadd(finlen, sum( |
|
scale(aytbclen, aytbc, adytail, _16), _16, |
|
scale(len, _16c, 2 * ady, _32), _32, _48), _48); |
|
|
|
const len2 = scale(bcttlen, bctt, adytail, _8); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8, 2 * ady, _16), _16, |
|
scale(len2, _8, 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), _16, |
|
scale(len, _16c, 2 * bdx, _32), _32, _48), _48); |
|
|
|
const len2 = scale(cattlen, catt, bdxtail, _8); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8, 2 * bdx, _16), _16, |
|
scale(len2, _8, bdxtail, _16b), _16b, |
|
scale(len, _16c, bdxtail, _32), _32, _32b, _64), _64); |
|
|
|
if (cdytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, aa, bdxtail, _8), _8, cdytail, _16), _16); |
|
} |
|
if (adytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, cc, -bdxtail, _8), _8, adytail, _16), _16); |
|
} |
|
} |
|
if (bdytail !== 0) { |
|
const len = scale(catlen, cat, bdytail, _16c); |
|
finlen = finadd(finlen, sum( |
|
scale(bytcalen, bytca, bdytail, _16), _16, |
|
scale(len, _16c, 2 * bdy, _32), _32, _48), _48); |
|
|
|
const len2 = scale(cattlen, catt, bdytail, _8); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8, 2 * bdy, _16), _16, |
|
scale(len2, _8, 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), _16, |
|
scale(len, _16c, 2 * cdx, _32), _32, _48), _48); |
|
|
|
const len2 = scale(abttlen, abtt, cdxtail, _8); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8, 2 * cdx, _16), _16, |
|
scale(len2, _8, cdxtail, _16b), _16b, |
|
scale(len, _16c, cdxtail, _32), _32, _32b, _64), _64); |
|
|
|
if (adytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, bb, cdxtail, _8), _8, adytail, _16), _16); |
|
} |
|
if (bdytail !== 0) { |
|
finlen = finadd(finlen, scale(scale(4, aa, -cdxtail, _8), _8, bdytail, _16), _16); |
|
} |
|
} |
|
if (cdytail !== 0) { |
|
const len = scale(abtlen, abt, cdytail, _16c); |
|
finlen = finadd(finlen, sum( |
|
scale(cytablen, cytab, cdytail, _16), _16, |
|
scale(len, _16c, 2 * cdy, _32), _32, _48), _48); |
|
|
|
const len2 = scale(abttlen, abtt, cdytail, _8); |
|
finlen = finadd(finlen, sum_three( |
|
scale(len2, _8, 2 * cdy, _16), _16, |
|
scale(len2, _8, cdytail, _16b), _16b, |
|
scale(len, _16c, cdytail, _32), _32, _32b, _64), _64); |
|
} |
|
} |
|
|
|
return fin[finlen - 1]; |
|
} |
|
|
|
export 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); |
|
} |
|
|
|
export 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; |
|
} |
|
|