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