| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511512513514515516517518519520521522523524525526527528529530531532533534535536537538539540541542543544545546547548549550551552553554555556557558559560561562563564565566567568569570571572573574575576577578579580581582583584585586587588589590591592593594595596597598599600601602603604605606607608609610611612613614615616617618619620621622623624625626627628629630631632633634635636637638639640641642643644645646647648649650651652653654655656657658659660661662663664665666667668669670671672673674675676677678679680681682683684685686687688689690691692693694695696697698699700701702703704705706707708709710711712713714715716717718719720721722723724725726727728729730731732733734735736737738739740741742743744745746747748749750751752753754755756757758759760761762763764765766767768769770771772773774775 | import {epsilon, splitter, resulterrbound, estimate, vec, sum, sum_three, scale, negate} from './util.js';const isperrboundA = (16 + 224 * epsilon) * epsilon;const isperrboundB = (5 + 72 * epsilon) * epsilon;const isperrboundC = (71 + 1408 * epsilon) * epsilon * epsilon;const ab = vec(4);const bc = vec(4);const cd = vec(4);const de = vec(4);const ea = vec(4);const ac = vec(4);const bd = vec(4);const ce = vec(4);const da = vec(4);const eb = vec(4);const abc = vec(24);const bcd = vec(24);const cde = vec(24);const dea = vec(24);const eab = vec(24);const abd = vec(24);const bce = vec(24);const cda = vec(24);const deb = vec(24);const eac = vec(24);const adet = vec(1152);const bdet = vec(1152);const cdet = vec(1152);const ddet = vec(1152);const edet = vec(1152);const abdet = vec(2304);const cddet = vec(2304);const cdedet = vec(3456);const deter = vec(5760);const _8 = vec(8);const _8b = vec(8);const _8c = vec(8);const _16 = vec(16);const _24 = vec(24);const _48 = vec(48);const _48b = vec(48);const _96 = vec(96);const _192 = vec(192);const _384x = vec(384);const _384y = vec(384);const _384z = vec(384);const _768 = vec(768);function sum_three_scale(a, b, c, az, bz, cz, out) {    return sum_three(        scale(4, a, az, _8), _8,        scale(4, b, bz, _8b), _8b,        scale(4, c, cz, _8c), _8c, _16, out);}function liftexact(alen, a, blen, b, clen, c, dlen, d, x, y, z, out) {    const len = sum(        sum(alen, a, blen, b, _48), _48,        negate(sum(clen, c, dlen, d, _48b), _48b), _48b, _96);    return sum_three(        scale(scale(len, _96, x, _192), _192, x, _384x), _384x,        scale(scale(len, _96, y, _192), _192, y, _384y), _384y,        scale(scale(len, _96, z, _192), _192, z, _384z), _384z, _768, out);}function insphereexact(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez) {    let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3;    s1 = ax * by;    c = splitter * ax;    ahi = c - (c - ax);    alo = ax - ahi;    c = splitter * by;    bhi = c - (c - by);    blo = by - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = bx * ay;    c = splitter * bx;    ahi = c - (c - bx);    alo = bx - ahi;    c = splitter * ay;    bhi = c - (c - ay);    blo = ay - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    ab[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    ab[1] = _0 - (_i + bvirt) + (bvirt - t1);    u3 = _j + _i;    bvirt = u3 - _j;    ab[2] = _j - (u3 - bvirt) + (_i - bvirt);    ab[3] = u3;    s1 = bx * cy;    c = splitter * bx;    ahi = c - (c - bx);    alo = bx - ahi;    c = splitter * cy;    bhi = c - (c - cy);    blo = cy - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = cx * by;    c = splitter * cx;    ahi = c - (c - cx);    alo = cx - ahi;    c = splitter * by;    bhi = c - (c - by);    blo = by - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    bc[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    bc[1] = _0 - (_i + bvirt) + (bvirt - t1);    u3 = _j + _i;    bvirt = u3 - _j;    bc[2] = _j - (u3 - bvirt) + (_i - bvirt);    bc[3] = u3;    s1 = cx * dy;    c = splitter * cx;    ahi = c - (c - cx);    alo = cx - ahi;    c = splitter * dy;    bhi = c - (c - dy);    blo = dy - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = dx * cy;    c = splitter * dx;    ahi = c - (c - dx);    alo = dx - ahi;    c = splitter * cy;    bhi = c - (c - cy);    blo = cy - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    cd[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    cd[1] = _0 - (_i + bvirt) + (bvirt - t1);    u3 = _j + _i;    bvirt = u3 - _j;    cd[2] = _j - (u3 - bvirt) + (_i - bvirt);    cd[3] = u3;    s1 = dx * ey;    c = splitter * dx;    ahi = c - (c - dx);    alo = dx - ahi;    c = splitter * ey;    bhi = c - (c - ey);    blo = ey - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = ex * dy;    c = splitter * ex;    ahi = c - (c - ex);    alo = ex - ahi;    c = splitter * dy;    bhi = c - (c - dy);    blo = dy - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    de[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    de[1] = _0 - (_i + bvirt) + (bvirt - t1);    u3 = _j + _i;    bvirt = u3 - _j;    de[2] = _j - (u3 - bvirt) + (_i - bvirt);    de[3] = u3;    s1 = ex * ay;    c = splitter * ex;    ahi = c - (c - ex);    alo = ex - ahi;    c = splitter * ay;    bhi = c - (c - ay);    blo = ay - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = ax * ey;    c = splitter * ax;    ahi = c - (c - ax);    alo = ax - ahi;    c = splitter * ey;    bhi = c - (c - ey);    blo = ey - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    ea[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    ea[1] = _0 - (_i + bvirt) + (bvirt - t1);    u3 = _j + _i;    bvirt = u3 - _j;    ea[2] = _j - (u3 - bvirt) + (_i - bvirt);    ea[3] = u3;    s1 = ax * cy;    c = splitter * ax;    ahi = c - (c - ax);    alo = ax - ahi;    c = splitter * cy;    bhi = c - (c - cy);    blo = cy - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = cx * ay;    c = splitter * cx;    ahi = c - (c - cx);    alo = cx - ahi;    c = splitter * ay;    bhi = c - (c - ay);    blo = ay - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    ac[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    ac[1] = _0 - (_i + bvirt) + (bvirt - t1);    u3 = _j + _i;    bvirt = u3 - _j;    ac[2] = _j - (u3 - bvirt) + (_i - bvirt);    ac[3] = u3;    s1 = bx * dy;    c = splitter * bx;    ahi = c - (c - bx);    alo = bx - ahi;    c = splitter * dy;    bhi = c - (c - dy);    blo = dy - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = dx * by;    c = splitter * dx;    ahi = c - (c - dx);    alo = dx - ahi;    c = splitter * by;    bhi = c - (c - by);    blo = by - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    bd[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    bd[1] = _0 - (_i + bvirt) + (bvirt - t1);    u3 = _j + _i;    bvirt = u3 - _j;    bd[2] = _j - (u3 - bvirt) + (_i - bvirt);    bd[3] = u3;    s1 = cx * ey;    c = splitter * cx;    ahi = c - (c - cx);    alo = cx - ahi;    c = splitter * ey;    bhi = c - (c - ey);    blo = ey - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = ex * cy;    c = splitter * ex;    ahi = c - (c - ex);    alo = ex - ahi;    c = splitter * cy;    bhi = c - (c - cy);    blo = cy - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    ce[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    ce[1] = _0 - (_i + bvirt) + (bvirt - t1);    u3 = _j + _i;    bvirt = u3 - _j;    ce[2] = _j - (u3 - bvirt) + (_i - bvirt);    ce[3] = u3;    s1 = dx * ay;    c = splitter * dx;    ahi = c - (c - dx);    alo = dx - ahi;    c = splitter * ay;    bhi = c - (c - ay);    blo = ay - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = ax * dy;    c = splitter * ax;    ahi = c - (c - ax);    alo = ax - ahi;    c = splitter * dy;    bhi = c - (c - dy);    blo = dy - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    da[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    da[1] = _0 - (_i + bvirt) + (bvirt - t1);    u3 = _j + _i;    bvirt = u3 - _j;    da[2] = _j - (u3 - bvirt) + (_i - bvirt);    da[3] = u3;    s1 = ex * by;    c = splitter * ex;    ahi = c - (c - ex);    alo = ex - ahi;    c = splitter * by;    bhi = c - (c - by);    blo = by - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = bx * ey;    c = splitter * bx;    ahi = c - (c - bx);    alo = bx - ahi;    c = splitter * ey;    bhi = c - (c - ey);    blo = ey - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    eb[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    eb[1] = _0 - (_i + bvirt) + (bvirt - t1);    u3 = _j + _i;    bvirt = u3 - _j;    eb[2] = _j - (u3 - bvirt) + (_i - bvirt);    eb[3] = u3;    const abclen = sum_three_scale(ab, bc, ac, cz, az, -bz, abc);    const bcdlen = sum_three_scale(bc, cd, bd, dz, bz, -cz, bcd);    const cdelen = sum_three_scale(cd, de, ce, ez, cz, -dz, cde);    const dealen = sum_three_scale(de, ea, da, az, dz, -ez, dea);    const eablen = sum_three_scale(ea, ab, eb, bz, ez, -az, eab);    const abdlen = sum_three_scale(ab, bd, da, dz, az, bz, abd);    const bcelen = sum_three_scale(bc, ce, eb, ez, bz, cz, bce);    const cdalen = sum_three_scale(cd, da, ac, az, cz, dz, cda);    const deblen = sum_three_scale(de, eb, bd, bz, dz, ez, deb);    const eaclen = sum_three_scale(ea, ac, ce, cz, ez, az, eac);    const deterlen = sum_three(        liftexact(cdelen, cde, bcelen, bce, deblen, deb, bcdlen, bcd, ax, ay, az, adet), adet,        liftexact(dealen, dea, cdalen, cda, eaclen, eac, cdelen, cde, bx, by, bz, bdet), bdet,        sum_three(            liftexact(eablen, eab, deblen, deb, abdlen, abd, dealen, dea, cx, cy, cz, cdet), cdet,            liftexact(abclen, abc, eaclen, eac, bcelen, bce, eablen, eab, dx, dy, dz, ddet), ddet,            liftexact(bcdlen, bcd, abdlen, abd, cdalen, cda, abclen, abc, ex, ey, ez, edet), edet, cddet, cdedet), cdedet, abdet, deter);    return deter[deterlen - 1];}const xdet = vec(96);const ydet = vec(96);const zdet = vec(96);const fin = vec(1152);function liftadapt(a, b, c, az, bz, cz, x, y, z, out) {    const len = sum_three_scale(a, b, c, az, bz, cz, _24);    return sum_three(        scale(scale(len, _24, x, _48), _48, x, xdet), xdet,        scale(scale(len, _24, y, _48), _48, y, ydet), ydet,        scale(scale(len, _24, z, _48), _48, z, zdet), zdet, _192, out);}function insphereadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez, permanent) {    let ab3, bc3, cd3, da3, ac3, bd3;    let aextail, bextail, cextail, dextail;    let aeytail, beytail, ceytail, deytail;    let aeztail, beztail, ceztail, deztail;    let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0;    const aex = ax - ex;    const bex = bx - ex;    const cex = cx - ex;    const dex = dx - ex;    const aey = ay - ey;    const bey = by - ey;    const cey = cy - ey;    const dey = dy - ey;    const aez = az - ez;    const bez = bz - ez;    const cez = cz - ez;    const dez = dz - ez;    s1 = aex * bey;    c = splitter * aex;    ahi = c - (c - aex);    alo = aex - ahi;    c = splitter * bey;    bhi = c - (c - bey);    blo = bey - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = bex * aey;    c = splitter * bex;    ahi = c - (c - bex);    alo = bex - ahi;    c = splitter * aey;    bhi = c - (c - aey);    blo = aey - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    ab[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    ab[1] = _0 - (_i + bvirt) + (bvirt - t1);    ab3 = _j + _i;    bvirt = ab3 - _j;    ab[2] = _j - (ab3 - bvirt) + (_i - bvirt);    ab[3] = ab3;    s1 = bex * cey;    c = splitter * bex;    ahi = c - (c - bex);    alo = bex - ahi;    c = splitter * cey;    bhi = c - (c - cey);    blo = cey - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = cex * bey;    c = splitter * cex;    ahi = c - (c - cex);    alo = cex - ahi;    c = splitter * bey;    bhi = c - (c - bey);    blo = bey - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    bc[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    bc[1] = _0 - (_i + bvirt) + (bvirt - t1);    bc3 = _j + _i;    bvirt = bc3 - _j;    bc[2] = _j - (bc3 - bvirt) + (_i - bvirt);    bc[3] = bc3;    s1 = cex * dey;    c = splitter * cex;    ahi = c - (c - cex);    alo = cex - ahi;    c = splitter * dey;    bhi = c - (c - dey);    blo = dey - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = dex * cey;    c = splitter * dex;    ahi = c - (c - dex);    alo = dex - ahi;    c = splitter * cey;    bhi = c - (c - cey);    blo = cey - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    cd[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    cd[1] = _0 - (_i + bvirt) + (bvirt - t1);    cd3 = _j + _i;    bvirt = cd3 - _j;    cd[2] = _j - (cd3 - bvirt) + (_i - bvirt);    cd[3] = cd3;    s1 = dex * aey;    c = splitter * dex;    ahi = c - (c - dex);    alo = dex - ahi;    c = splitter * aey;    bhi = c - (c - aey);    blo = aey - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = aex * dey;    c = splitter * aex;    ahi = c - (c - aex);    alo = aex - ahi;    c = splitter * dey;    bhi = c - (c - dey);    blo = dey - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    da[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    da[1] = _0 - (_i + bvirt) + (bvirt - t1);    da3 = _j + _i;    bvirt = da3 - _j;    da[2] = _j - (da3 - bvirt) + (_i - bvirt);    da[3] = da3;    s1 = aex * cey;    c = splitter * aex;    ahi = c - (c - aex);    alo = aex - ahi;    c = splitter * cey;    bhi = c - (c - cey);    blo = cey - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = cex * aey;    c = splitter * cex;    ahi = c - (c - cex);    alo = cex - ahi;    c = splitter * aey;    bhi = c - (c - aey);    blo = aey - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    ac[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    ac[1] = _0 - (_i + bvirt) + (bvirt - t1);    ac3 = _j + _i;    bvirt = ac3 - _j;    ac[2] = _j - (ac3 - bvirt) + (_i - bvirt);    ac[3] = ac3;    s1 = bex * dey;    c = splitter * bex;    ahi = c - (c - bex);    alo = bex - ahi;    c = splitter * dey;    bhi = c - (c - dey);    blo = dey - bhi;    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);    t1 = dex * bey;    c = splitter * dex;    ahi = c - (c - dex);    alo = dex - ahi;    c = splitter * bey;    bhi = c - (c - bey);    blo = bey - bhi;    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);    _i = s0 - t0;    bvirt = s0 - _i;    bd[0] = s0 - (_i + bvirt) + (bvirt - t0);    _j = s1 + _i;    bvirt = _j - s1;    _0 = s1 - (_j - bvirt) + (_i - bvirt);    _i = _0 - t1;    bvirt = _0 - _i;    bd[1] = _0 - (_i + bvirt) + (bvirt - t1);    bd3 = _j + _i;    bvirt = bd3 - _j;    bd[2] = _j - (bd3 - bvirt) + (_i - bvirt);    bd[3] = bd3;    const finlen = sum(        sum(            negate(liftadapt(bc, cd, bd, dez, bez, -cez, aex, aey, aez, adet), adet), adet,            liftadapt(cd, da, ac, aez, cez, dez, bex, bey, bez, bdet), bdet, abdet), abdet,        sum(            negate(liftadapt(da, ab, bd, bez, dez, aez, cex, cey, cez, cdet), cdet), cdet,            liftadapt(ab, bc, ac, cez, aez, -bez, dex, dey, dez, ddet), ddet, cddet), cddet, fin);    let det = estimate(finlen, fin);    let errbound = isperrboundB * permanent;    if (det >= errbound || -det >= errbound) {        return det;    }    bvirt = ax - aex;    aextail = ax - (aex + bvirt) + (bvirt - ex);    bvirt = ay - aey;    aeytail = ay - (aey + bvirt) + (bvirt - ey);    bvirt = az - aez;    aeztail = az - (aez + bvirt) + (bvirt - ez);    bvirt = bx - bex;    bextail = bx - (bex + bvirt) + (bvirt - ex);    bvirt = by - bey;    beytail = by - (bey + bvirt) + (bvirt - ey);    bvirt = bz - bez;    beztail = bz - (bez + bvirt) + (bvirt - ez);    bvirt = cx - cex;    cextail = cx - (cex + bvirt) + (bvirt - ex);    bvirt = cy - cey;    ceytail = cy - (cey + bvirt) + (bvirt - ey);    bvirt = cz - cez;    ceztail = cz - (cez + bvirt) + (bvirt - ez);    bvirt = dx - dex;    dextail = dx - (dex + bvirt) + (bvirt - ex);    bvirt = dy - dey;    deytail = dy - (dey + bvirt) + (bvirt - ey);    bvirt = dz - dez;    deztail = dz - (dez + bvirt) + (bvirt - ez);    if (aextail === 0 && aeytail === 0 && aeztail === 0 &&        bextail === 0 && beytail === 0 && beztail === 0 &&        cextail === 0 && ceytail === 0 && ceztail === 0 &&        dextail === 0 && deytail === 0 && deztail === 0) {        return det;    }    errbound = isperrboundC * permanent + resulterrbound * Math.abs(det);    const abeps = (aex * beytail + bey * aextail) - (aey * bextail + bex * aeytail);    const bceps = (bex * ceytail + cey * bextail) - (bey * cextail + cex * beytail);    const cdeps = (cex * deytail + dey * cextail) - (cey * dextail + dex * ceytail);    const daeps = (dex * aeytail + aey * dextail) - (dey * aextail + aex * deytail);    const aceps = (aex * ceytail + cey * aextail) - (aey * cextail + cex * aeytail);    const bdeps = (bex * deytail + dey * bextail) - (bey * dextail + dex * beytail);    det +=        (((bex * bex + bey * bey + bez * bez) * ((cez * daeps + dez * aceps + aez * cdeps) +        (ceztail * da3 + deztail * ac3 + aeztail * cd3)) + (dex * dex + dey * dey + dez * dez) *        ((aez * bceps - bez * aceps + cez * abeps) + (aeztail * bc3 - beztail * ac3 + ceztail * ab3))) -        ((aex * aex + aey * aey + aez * aez) * ((bez * cdeps - cez * bdeps + dez * bceps) +        (beztail * cd3 - ceztail * bd3 + deztail * bc3)) + (cex * cex + cey * cey + cez * cez) *        ((dez * abeps + aez * bdeps + bez * daeps) + (deztail * ab3 + aeztail * bd3 + beztail * da3)))) +        2 * (((bex * bextail + bey * beytail + bez * beztail) * (cez * da3 + dez * ac3 + aez * cd3) +        (dex * dextail + dey * deytail + dez * deztail) * (aez * bc3 - bez * ac3 + cez * ab3)) -        ((aex * aextail + aey * aeytail + aez * aeztail) * (bez * cd3 - cez * bd3 + dez * bc3) +        (cex * cextail + cey * ceytail + cez * ceztail) * (dez * ab3 + aez * bd3 + bez * da3)));    if (det >= errbound || -det >= errbound) {        return det;    }    return insphereexact(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez);}export function insphere(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez) {    const aex = ax - ex;    const bex = bx - ex;    const cex = cx - ex;    const dex = dx - ex;    const aey = ay - ey;    const bey = by - ey;    const cey = cy - ey;    const dey = dy - ey;    const aez = az - ez;    const bez = bz - ez;    const cez = cz - ez;    const dez = dz - ez;    const aexbey = aex * bey;    const bexaey = bex * aey;    const ab = aexbey - bexaey;    const bexcey = bex * cey;    const cexbey = cex * bey;    const bc = bexcey - cexbey;    const cexdey = cex * dey;    const dexcey = dex * cey;    const cd = cexdey - dexcey;    const dexaey = dex * aey;    const aexdey = aex * dey;    const da = dexaey - aexdey;    const aexcey = aex * cey;    const cexaey = cex * aey;    const ac = aexcey - cexaey;    const bexdey = bex * dey;    const dexbey = dex * bey;    const bd = bexdey - dexbey;    const abc = aez * bc - bez * ac + cez * ab;    const bcd = bez * cd - cez * bd + dez * bc;    const cda = cez * da + dez * ac + aez * cd;    const dab = dez * ab + aez * bd + bez * da;    const alift = aex * aex + aey * aey + aez * aez;    const blift = bex * bex + bey * bey + bez * bez;    const clift = cex * cex + cey * cey + cez * cez;    const dlift = dex * dex + dey * dey + dez * dez;    const det = (clift * dab - dlift * abc) + (alift * bcd - blift * cda);    const aezplus = Math.abs(aez);    const bezplus = Math.abs(bez);    const cezplus = Math.abs(cez);    const dezplus = Math.abs(dez);    const aexbeyplus = Math.abs(aexbey);    const bexaeyplus = Math.abs(bexaey);    const bexceyplus = Math.abs(bexcey);    const cexbeyplus = Math.abs(cexbey);    const cexdeyplus = Math.abs(cexdey);    const dexceyplus = Math.abs(dexcey);    const dexaeyplus = Math.abs(dexaey);    const aexdeyplus = Math.abs(aexdey);    const aexceyplus = Math.abs(aexcey);    const cexaeyplus = Math.abs(cexaey);    const bexdeyplus = Math.abs(bexdey);    const dexbeyplus = Math.abs(dexbey);    const permanent =        ((cexdeyplus + dexceyplus) * bezplus + (dexbeyplus + bexdeyplus) * cezplus + (bexceyplus + cexbeyplus) * dezplus) * alift +        ((dexaeyplus + aexdeyplus) * cezplus + (aexceyplus + cexaeyplus) * dezplus + (cexdeyplus + dexceyplus) * aezplus) * blift +        ((aexbeyplus + bexaeyplus) * dezplus + (bexdeyplus + dexbeyplus) * aezplus + (dexaeyplus + aexdeyplus) * bezplus) * clift +        ((bexceyplus + cexbeyplus) * aezplus + (cexaeyplus + aexceyplus) * bezplus + (aexbeyplus + bexaeyplus) * cezplus) * dlift;    const errbound = isperrboundA * permanent;    if (det > errbound || -det > errbound) {        return det;    }    return -insphereadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez, permanent);}export function inspherefast(pax, pay, paz, pbx, pby, pbz, pcx, pcy, pcz, pdx, pdy, pdz, pex, pey, pez) {    const aex = pax - pex;    const bex = pbx - pex;    const cex = pcx - pex;    const dex = pdx - pex;    const aey = pay - pey;    const bey = pby - pey;    const cey = pcy - pey;    const dey = pdy - pey;    const aez = paz - pez;    const bez = pbz - pez;    const cez = pcz - pez;    const dez = pdz - pez;    const ab = aex * bey - bex * aey;    const bc = bex * cey - cex * bey;    const cd = cex * dey - dex * cey;    const da = dex * aey - aex * dey;    const ac = aex * cey - cex * aey;    const bd = bex * dey - dex * bey;    const abc = aez * bc - bez * ac + cez * ab;    const bcd = bez * cd - cez * bd + dez * bc;    const cda = cez * da + dez * ac + aez * cd;    const dab = dez * ab + aez * bd + bez * da;    const alift = aex * aex + aey * aey + aez * aez;    const blift = bex * bex + bey * bey + bez * bez;    const clift = cex * cex + cey * cey + cez * cez;    const dlift = dex * dex + dey * dey + dez * dez;    return (clift * dab - dlift * abc) + (alift * bcd - blift * cda);}
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