(function (global, factory) {
typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) :
typeof define === 'function' && define.amd ? define(['exports'], factory) :
(global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.predicates = {}));
})(this, (function (exports) { 'use strict';

const epsilon = 1.1102230246251565e-16;
const splitter = 134217729;
const resulterrbound = (3 + 8 * epsilon) * epsilon;

// fast_expansion_sum_zeroelim routine from oritinal code
function sum(elen, e, flen, f, h) {
    let Q, Qnew, hh, bvirt;
    let enow = e[0];
    let fnow = f[0];
    let eindex = 0;
    let findex = 0;
    if ((fnow > enow) === (fnow > -enow)) {
        Q = enow;
        enow = e[++eindex];
    } else {
        Q = fnow;
        fnow = f[++findex];
    }
    let hindex = 0;
    if (eindex < elen && findex < flen) {
        if ((fnow > enow) === (fnow > -enow)) {
            Qnew = enow + Q;
            hh = Q - (Qnew - enow);
            enow = e[++eindex];
        } else {
            Qnew = fnow + Q;
            hh = Q - (Qnew - fnow);
            fnow = f[++findex];
        }
        Q = Qnew;
        if (hh !== 0) {
            h[hindex++] = hh;
        }
        while (eindex < elen && findex < flen) {
            if ((fnow > enow) === (fnow > -enow)) {
                Qnew = Q + enow;
                bvirt = Qnew - Q;
                hh = Q - (Qnew - bvirt) + (enow - bvirt);
                enow = e[++eindex];
            } else {
                Qnew = Q + fnow;
                bvirt = Qnew - Q;
                hh = Q - (Qnew - bvirt) + (fnow - bvirt);
                fnow = f[++findex];
            }
            Q = Qnew;
            if (hh !== 0) {
                h[hindex++] = hh;
            }
        }
    }
    while (eindex < elen) {
        Qnew = Q + enow;
        bvirt = Qnew - Q;
        hh = Q - (Qnew - bvirt) + (enow - bvirt);
        enow = e[++eindex];
        Q = Qnew;
        if (hh !== 0) {
            h[hindex++] = hh;
        }
    }
    while (findex < flen) {
        Qnew = Q + fnow;
        bvirt = Qnew - Q;
        hh = Q - (Qnew - bvirt) + (fnow - bvirt);
        fnow = f[++findex];
        Q = Qnew;
        if (hh !== 0) {
            h[hindex++] = hh;
        }
    }
    if (Q !== 0 || hindex === 0) {
        h[hindex++] = Q;
    }
    return hindex;
}

// scale_expansion_zeroelim routine from oritinal code
function scale(elen, e, b, h) {
    let Q, sum, hh, product1, product0;
    let bvirt, c, ahi, alo, bhi, blo;

    c = splitter * b;
    bhi = c - (c - b);
    blo = b - bhi;
    let enow = e[0];
    Q = enow * b;
    c = splitter * enow;
    ahi = c - (c - enow);
    alo = enow - ahi;
    hh = alo * blo - (Q - ahi * bhi - alo * bhi - ahi * blo);
    let hindex = 0;
    if (hh !== 0) {
        h[hindex++] = hh;
    }
    for (let i = 1; i < elen; i++) {
        enow = e[i];
        product1 = enow * b;
        c = splitter * enow;
        ahi = c - (c - enow);
        alo = enow - ahi;
        product0 = alo * blo - (product1 - ahi * bhi - alo * bhi - ahi * blo);
        sum = Q + product0;
        bvirt = sum - Q;
        hh = Q - (sum - bvirt) + (product0 - bvirt);
        if (hh !== 0) {
            h[hindex++] = hh;
        }
        Q = product1 + sum;
        hh = sum - (Q - product1);
        if (hh !== 0) {
            h[hindex++] = hh;
        }
    }
    if (Q !== 0 || hindex === 0) {
        h[hindex++] = Q;
    }
    return hindex;
}

function estimate(elen, e) {
    let Q = e[0];
    for (let i = 1; i < elen; i++) Q += e[i];
    return Q;
}

function vec(n) {
    return new Float64Array(n);
}

const o3derrboundA = (7 + 56 * epsilon) * epsilon;
const o3derrboundB = (3 + 28 * epsilon) * epsilon;
const o3derrboundC = (26 + 288 * epsilon) * epsilon * epsilon;

const bc = vec(4);
const ca = vec(4);
const ab = vec(4);
const at_b = vec(4);
const at_c = vec(4);
const bt_c = vec(4);
const bt_a = vec(4);
const ct_a = vec(4);
const ct_b = vec(4);
const bct = vec(8);
const cat = vec(8);
const abt = vec(8);
const u = vec(4);

const _8 = vec(8);
const _8b = vec(8);
const _16 = vec(8);
const _12 = vec(12);

let fin = vec(192);
let fin2 = vec(192);

function finadd(finlen, alen, a) {
    finlen = sum(finlen, fin, alen, a, fin2);
    const tmp = fin; fin = fin2; fin2 = tmp;
    return finlen;
}

function tailinit(xtail, ytail, ax, ay, bx, by, a, b) {
    let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3, negate;
    if (xtail === 0) {
        if (ytail === 0) {
            a[0] = 0;
            b[0] = 0;
            return 1;
        } else {
            negate = -ytail;
            s1 = negate * ax;
            c = splitter * negate;
            ahi = c - (c - negate);
            alo = negate - ahi;
            c = splitter * ax;
            bhi = c - (c - ax);
            blo = ax - bhi;
            a[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
            a[1] = s1;
            s1 = ytail * bx;
            c = splitter * ytail;
            ahi = c - (c - ytail);
            alo = ytail - ahi;
            c = splitter * bx;
            bhi = c - (c - bx);
            blo = bx - bhi;
            b[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
            b[1] = s1;
            return 2;
        }
    } else {
        if (ytail === 0) {
            s1 = xtail * ay;
            c = splitter * xtail;
            ahi = c - (c - xtail);
            alo = xtail - ahi;
            c = splitter * ay;
            bhi = c - (c - ay);
            blo = ay - bhi;
            a[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
            a[1] = s1;
            negate = -xtail;
            s1 = negate * by;
            c = splitter * negate;
            ahi = c - (c - negate);
            alo = negate - ahi;
            c = splitter * by;
            bhi = c - (c - by);
            blo = by - bhi;
            b[0] = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
            b[1] = s1;
            return 2;
        } else {
            s1 = xtail * ay;
            c = splitter * xtail;
            ahi = c - (c - xtail);
            alo = xtail - ahi;
            c = splitter * ay;
            bhi = c - (c - ay);
            blo = ay - bhi;
            s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
            t1 = ytail * ax;
            c = splitter * ytail;
            ahi = c - (c - ytail);
            alo = ytail - ahi;
            c = splitter * ax;
            bhi = c - (c - ax);
            blo = ax - bhi;
            t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
            _i = s0 - t0;
            bvirt = s0 - _i;
            a[0] = s0 - (_i + bvirt) + (bvirt - t0);
            _j = s1 + _i;
            bvirt = _j - s1;
            _0 = s1 - (_j - bvirt) + (_i - bvirt);
            _i = _0 - t1;
            bvirt = _0 - _i;
            a[1] = _0 - (_i + bvirt) + (bvirt - t1);
            u3 = _j + _i;
            bvirt = u3 - _j;
            a[2] = _j - (u3 - bvirt) + (_i - bvirt);
            a[3] = u3;
            s1 = ytail * bx;
            c = splitter * ytail;
            ahi = c - (c - ytail);
            alo = ytail - ahi;
            c = splitter * bx;
            bhi = c - (c - bx);
            blo = bx - bhi;
            s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
            t1 = xtail * by;
            c = splitter * xtail;
            ahi = c - (c - xtail);
            alo = xtail - 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;
            b[0] = s0 - (_i + bvirt) + (bvirt - t0);
            _j = s1 + _i;
            bvirt = _j - s1;
            _0 = s1 - (_j - bvirt) + (_i - bvirt);
            _i = _0 - t1;
            bvirt = _0 - _i;
            b[1] = _0 - (_i + bvirt) + (bvirt - t1);
            u3 = _j + _i;
            bvirt = u3 - _j;
            b[2] = _j - (u3 - bvirt) + (_i - bvirt);
            b[3] = u3;
            return 4;
        }
    }
}

function tailadd(finlen, a, b, k, z) {
    let bvirt, c, ahi, alo, bhi, blo, _i, _j, _k, _0, s1, s0, u3;
    s1 = a * b;
    c = splitter * a;
    ahi = c - (c - a);
    alo = a - ahi;
    c = splitter * b;
    bhi = c - (c - b);
    blo = b - bhi;
    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
    c = splitter * k;
    bhi = c - (c - k);
    blo = k - bhi;
    _i = s0 * k;
    c = splitter * s0;
    ahi = c - (c - s0);
    alo = s0 - ahi;
    u[0] = alo * blo - (_i - ahi * bhi - alo * bhi - ahi * blo);
    _j = s1 * k;
    c = splitter * s1;
    ahi = c - (c - s1);
    alo = s1 - ahi;
    _0 = alo * blo - (_j - ahi * bhi - alo * bhi - ahi * blo);
    _k = _i + _0;
    bvirt = _k - _i;
    u[1] = _i - (_k - bvirt) + (_0 - bvirt);
    u3 = _j + _k;
    u[2] = _k - (u3 - _j);
    u[3] = u3;
    finlen = finadd(finlen, 4, u);
    if (z !== 0) {
        c = splitter * z;
        bhi = c - (c - z);
        blo = z - bhi;
        _i = s0 * z;
        c = splitter * s0;
        ahi = c - (c - s0);
        alo = s0 - ahi;
        u[0] = alo * blo - (_i - ahi * bhi - alo * bhi - ahi * blo);
        _j = s1 * z;
        c = splitter * s1;
        ahi = c - (c - s1);
        alo = s1 - ahi;
        _0 = alo * blo - (_j - ahi * bhi - alo * bhi - ahi * blo);
        _k = _i + _0;
        bvirt = _k - _i;
        u[1] = _i - (_k - bvirt) + (_0 - bvirt);
        u3 = _j + _k;
        u[2] = _k - (u3 - _j);
        u[3] = u3;
        finlen = finadd(finlen, 4, u);
    }
    return finlen;
}

function orient3dadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, permanent) {
    let finlen;
    let adxtail, bdxtail, cdxtail;
    let adytail, bdytail, cdytail;
    let adztail, bdztail, cdztail;
    let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3;

    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 adz = az - dz;
    const bdz = bz - dz;
    const cdz = cz - dz;

    s1 = bdx * cdy;
    c = splitter * bdx;
    ahi = c - (c - bdx);
    alo = bdx - ahi;
    c = splitter * cdy;
    bhi = c - (c - cdy);
    blo = cdy - bhi;
    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
    t1 = cdx * bdy;
    c = splitter * cdx;
    ahi = c - (c - cdx);
    alo = cdx - ahi;
    c = splitter * bdy;
    bhi = c - (c - bdy);
    blo = bdy - 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 = cdx * ady;
    c = splitter * cdx;
    ahi = c - (c - cdx);
    alo = cdx - ahi;
    c = splitter * ady;
    bhi = c - (c - ady);
    blo = ady - bhi;
    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
    t1 = adx * cdy;
    c = splitter * adx;
    ahi = c - (c - adx);
    alo = adx - ahi;
    c = splitter * cdy;
    bhi = c - (c - cdy);
    blo = cdy - bhi;
    t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo);
    _i = s0 - t0;
    bvirt = s0 - _i;
    ca[0] = s0 - (_i + bvirt) + (bvirt - t0);
    _j = s1 + _i;
    bvirt = _j - s1;
    _0 = s1 - (_j - bvirt) + (_i - bvirt);
    _i = _0 - t1;
    bvirt = _0 - _i;
    ca[1] = _0 - (_i + bvirt) + (bvirt - t1);
    u3 = _j + _i;
    bvirt = u3 - _j;
    ca[2] = _j - (u3 - bvirt) + (_i - bvirt);
    ca[3] = u3;
    s1 = adx * bdy;
    c = splitter * adx;
    ahi = c - (c - adx);
    alo = adx - ahi;
    c = splitter * bdy;
    bhi = c - (c - bdy);
    blo = bdy - bhi;
    s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo);
    t1 = bdx * ady;
    c = splitter * bdx;
    ahi = c - (c - bdx);
    alo = bdx - ahi;
    c = splitter * ady;
    bhi = c - (c - ady);
    blo = ady - 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;

    finlen = sum(
        sum(
            scale(4, bc, adz, _8), _8,
            scale(4, ca, bdz, _8b), _8b, _16), _16,
        scale(4, ab, cdz, _8), _8, fin);

    let det = estimate(finlen, fin);
    let errbound = o3derrboundB * permanent;
    if (det >= errbound || -det >= errbound) {
        return det;
    }

    bvirt = ax - adx;
    adxtail = ax - (adx + bvirt) + (bvirt - dx);
    bvirt = bx - bdx;
    bdxtail = bx - (bdx + bvirt) + (bvirt - dx);
    bvirt = cx - cdx;
    cdxtail = cx - (cdx + bvirt) + (bvirt - dx);
    bvirt = ay - ady;
    adytail = ay - (ady + bvirt) + (bvirt - dy);
    bvirt = by - bdy;
    bdytail = by - (bdy + bvirt) + (bvirt - dy);
    bvirt = cy - cdy;
    cdytail = cy - (cdy + bvirt) + (bvirt - dy);
    bvirt = az - adz;
    adztail = az - (adz + bvirt) + (bvirt - dz);
    bvirt = bz - bdz;
    bdztail = bz - (bdz + bvirt) + (bvirt - dz);
    bvirt = cz - cdz;
    cdztail = cz - (cdz + bvirt) + (bvirt - dz);

    if (adxtail === 0 && bdxtail === 0 && cdxtail === 0 &&
        adytail === 0 && bdytail === 0 && cdytail === 0 &&
        adztail === 0 && bdztail === 0 && cdztail === 0) {
        return det;
    }

    errbound = o3derrboundC * permanent + resulterrbound * Math.abs(det);
    det +=
        adz * (bdx * cdytail + cdy * bdxtail - (bdy * cdxtail + cdx * bdytail)) + adztail * (bdx * cdy - bdy * cdx) +
        bdz * (cdx * adytail + ady * cdxtail - (cdy * adxtail + adx * cdytail)) + bdztail * (cdx * ady - cdy * adx) +
        cdz * (adx * bdytail + bdy * adxtail - (ady * bdxtail + bdx * adytail)) + cdztail * (adx * bdy - ady * bdx);
    if (det >= errbound || -det >= errbound) {
        return det;
    }

    const at_len = tailinit(adxtail, adytail, bdx, bdy, cdx, cdy, at_b, at_c);
    const bt_len = tailinit(bdxtail, bdytail, cdx, cdy, adx, ady, bt_c, bt_a);
    const ct_len = tailinit(cdxtail, cdytail, adx, ady, bdx, bdy, ct_a, ct_b);

    const bctlen = sum(bt_len, bt_c, ct_len, ct_b, bct);
    finlen = finadd(finlen, scale(bctlen, bct, adz, _16), _16);

    const catlen = sum(ct_len, ct_a, at_len, at_c, cat);
    finlen = finadd(finlen, scale(catlen, cat, bdz, _16), _16);

    const abtlen = sum(at_len, at_b, bt_len, bt_a, abt);
    finlen = finadd(finlen, scale(abtlen, abt, cdz, _16), _16);

    if (adztail !== 0) {
        finlen = finadd(finlen, scale(4, bc, adztail, _12), _12);
        finlen = finadd(finlen, scale(bctlen, bct, adztail, _16), _16);
    }
    if (bdztail !== 0) {
        finlen = finadd(finlen, scale(4, ca, bdztail, _12), _12);
        finlen = finadd(finlen, scale(catlen, cat, bdztail, _16), _16);
    }
    if (cdztail !== 0) {
        finlen = finadd(finlen, scale(4, ab, cdztail, _12), _12);
        finlen = finadd(finlen, scale(abtlen, abt, cdztail, _16), _16);
    }

    if (adxtail !== 0) {
        if (bdytail !== 0) {
            finlen = tailadd(finlen, adxtail, bdytail, cdz, cdztail);
        }
        if (cdytail !== 0) {
            finlen = tailadd(finlen, -adxtail, cdytail, bdz, bdztail);
        }
    }
    if (bdxtail !== 0) {
        if (cdytail !== 0) {
            finlen = tailadd(finlen, bdxtail, cdytail, adz, adztail);
        }
        if (adytail !== 0) {
            finlen = tailadd(finlen, -bdxtail, adytail, cdz, cdztail);
        }
    }
    if (cdxtail !== 0) {
        if (adytail !== 0) {
            finlen = tailadd(finlen, cdxtail, adytail, bdz, bdztail);
        }
        if (bdytail !== 0) {
            finlen = tailadd(finlen, -cdxtail, bdytail, adz, adztail);
        }
    }

    return fin[finlen - 1];
}

function orient3d(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz) {
    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 adz = az - dz;
    const bdz = bz - dz;
    const cdz = cz - dz;

    const bdxcdy = bdx * cdy;
    const cdxbdy = cdx * bdy;

    const cdxady = cdx * ady;
    const adxcdy = adx * cdy;

    const adxbdy = adx * bdy;
    const bdxady = bdx * ady;

    const det =
        adz * (bdxcdy - cdxbdy) +
        bdz * (cdxady - adxcdy) +
        cdz * (adxbdy - bdxady);

    const permanent =
        (Math.abs(bdxcdy) + Math.abs(cdxbdy)) * Math.abs(adz) +
        (Math.abs(cdxady) + Math.abs(adxcdy)) * Math.abs(bdz) +
        (Math.abs(adxbdy) + Math.abs(bdxady)) * Math.abs(cdz);

    const errbound = o3derrboundA * permanent;
    if (det > errbound || -det > errbound) {
        return det;
    }

    return orient3dadapt(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, permanent);
}

function orient3dfast(ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz) {
    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 adz = az - dz;
    const bdz = bz - dz;
    const cdz = cz - dz;

    return adx * (bdy * cdz - bdz * cdy) +
        bdx * (cdy * adz - cdz * ady) +
        cdx * (ady * bdz - adz * bdy);
}

exports.orient3d = orient3d;
exports.orient3dfast = orient3dfast;

}));