Index: node_modules/robust-predicates/LICENSE =================================================================== --- node_modules/robust-predicates/LICENSE (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/LICENSE (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,24 @@ +This is free and unencumbered software released into the public domain. + +Anyone is free to copy, modify, publish, use, compile, sell, or +distribute this software, either in source code form or as a compiled +binary, for any purpose, commercial or non-commercial, and by any +means. + +In jurisdictions that recognize copyright laws, the author or authors +of this software dedicate any and all copyright interest in the +software to the public domain. We make this dedication for the benefit +of the public at large and to the detriment of our heirs and +successors. We intend this dedication to be an overt act of +relinquishment in perpetuity of all present and future rights to this +software under copyright law. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. +IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR +OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, +ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR +OTHER DEALINGS IN THE SOFTWARE. + +For more information, please refer to Index: node_modules/robust-predicates/README.md =================================================================== --- node_modules/robust-predicates/README.md (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/README.md (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,82 @@ +# robust-predicates + +Fast robust predicates for computational geometry in JavaScript. Provides reliable 2D and 3D point orientation tests (`orient2d`, `orient3d`, `incircle`, `insphere`) that are not susceptible to floating point errors (without sacrificing performance). A modern port of [Jonathan R Shewchuk's C code](https://www.cs.cmu.edu/~quake/robust.html), an industry standard since 1996. + + + +_Figure: non-robust vs robust `orient2d` test for points within a tiny range (2-42)._ + +[![Build Status](https://github.com/mourner/robust-predicates/workflows/Node/badge.svg?branch=master)](https://github.com/mourner/robust-predicates/actions) +[![Simply Awesome](https://img.shields.io/badge/simply-awesome-brightgreen.svg)](https://github.com/mourner/projects) +[![Browser Build](https://badgen.net/bundlephobia/minzip/robust-predicates)](https://unpkg.com/robust-predicates) + +## [Demo](https://observablehq.com/@mourner/non-robust-arithmetic-as-art) + +## API + +Note: unlike J. Shewchuk's original code, all the functions in this library assume `y` axis is oriented _downwards_ ↓, so the semantics are different. + +### `orient2d(ax,ay, bx,by, cx,cy)` + +- Returns a *positive* value if the points `a`, `b`, and `c` occur in _counterclockwise_ order (`c` lies to the left of the directed line defined by points `a` and `b`). +- Returns a *negative* value if they occur in _clockwise_ order (`c` lies to the right of the directed line `ab`). +- Returns *zero* if they are _collinear_. + +The result is also an approximation of twice the signed area of the triangle defined by the three points. + +### `incircle(ax,ay, bx,by, cx,cy, dx,dy)` + +- Returns a _positive_ value if the point `d` lies _outside_ the circle passing through `a`, `b`, and `c`. +- Returns a _negative_ value if it lies _inside_. +- Returns _zero_ if the four points are _cocircular_. + +The points `a`, `b`, and `c` must be in _counterclockwise_ order, or the sign of the result will be reversed. + +### `orient3d(ax,ay,az, bx,by,bz, cx,cy,cz, dx,dy,dz)` + +- Returns a _positive_ value if the point `d` lies _above_ the plane passing through `a`, `b`, and `c`, meaning that `a`, `b`, and `c` appear in counterclockwise order when viewed from `d`. +- Returns a _negative_ value if `d` lies _below_ the plane. +- Returns _zero_ if the points are _coplanar_. + +The result is also an approximation of six times the signed volume of the tetrahedron defined by the four points. + +### `insphere(ax,ay,az, bx,by,bz, cx,cy,cz, dx,dy,dz, ex,ey,ez)` + +- Returns a _positive_ value if the point `e` lies _outside_ the sphere passing through `a`, `b`, `c`, and `d`. +- Returns a _negative_ value if it lies _inside_. +- Returns _zero_ if the five points are _cospherical_. + +The points `a`, `b`, `c`, and `d` must be ordered so that they have a _positive orientation_ +(as defined by `orient3d`), or the sign of the result will be reversed. + +### `orient2dfast`, `orient3dfast`, `incirclefast`, `inspherefast` + +Simple, approximate, non-robust versions of predicates above. Use when robustness isn't needed. + +## Example + +```js +import {orient2d} from 'robust-predicates'; + +const ccw = orient2d(ax, ay, bx, by, cx, cy) > 0; +```` + +## Install + +Install with `npm install robust-predicates` or `yarn add robust-predicates`, or use one of the browser builds: + +- [predicates.min.js](https://unpkg.com/robust-predicates/umd/predicates.min.js) (all predicates) +- [orient2d.min.js](https://unpkg.com/robust-predicates/umd/orient2d.min.js) (`orient2d`, `orient2dfast`) +- [orient3d.min.js](https://unpkg.com/robust-predicates/umd/orient3d.min.js) (`orient3d`, `orient3dfast`) +- [incircle.min.js](https://unpkg.com/robust-predicates/umd/incircle.min.js) (`incircle`, `incirclefast`) +- [insphere.min.js](https://unpkg.com/robust-predicates/umd/insphere.min.js) (`insphere`, `inspherefast`) + +## Thanks + +This project is just a port — all the brilliant, hard work was done by [Jonathan Richard Shewchuk](https://people.eecs.berkeley.edu/~jrs/). + +The port was also inspired by [Mikola Lysenko](https://twitter.com/MikolaLysenko)'s excellent [Robust Arithmetic Notes](https://github.com/mikolalysenko/robust-arithmetic-notes) and related projects like [robust-orientation](https://github.com/mikolalysenko/robust-orientation) and [robust-in-sphere](https://github.com/mikolalysenko/robust-in-sphere). + +## License + +Since the original code is in the public domain, this project follows the same choice. See [Unlicense](https://unlicense.org). Index: node_modules/robust-predicates/esm/incircle.js =================================================================== --- node_modules/robust-predicates/esm/incircle.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/esm/incircle.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,765 @@ +import {epsilon, splitter, resulterrbound, estimate, vec, sum, sum_three, scale} from './util.js'; + +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]; +} + +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; +} Index: node_modules/robust-predicates/esm/insphere.js =================================================================== --- node_modules/robust-predicates/esm/insphere.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/esm/insphere.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,766 @@ +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 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 * (dez * ab + aez * bd + bez * da) - dlift * (aez * bc - bez * ac + cez * ab)) + + (alift * (bez * cd - cez * bd + dez * bc) - blift * (cez * da + dez * ac + aez * cd)); + + 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) + Math.abs(bexaey); + const bexceyplus = Math.abs(bexcey) + Math.abs(cexbey); + const cexdeyplus = Math.abs(cexdey) + Math.abs(dexcey); + const dexaeyplus = Math.abs(dexaey) + Math.abs(aexdey); + const aexceyplus = Math.abs(aexcey) + Math.abs(cexaey); + const bexdeyplus = Math.abs(bexdey) + Math.abs(dexbey); + const permanent = + (cexdeyplus * bezplus + bexdeyplus * cezplus + bexceyplus * dezplus) * alift + + (dexaeyplus * cezplus + aexceyplus * dezplus + cexdeyplus * aezplus) * blift + + (aexbeyplus * dezplus + bexdeyplus * aezplus + dexaeyplus * bezplus) * clift + + (bexceyplus * aezplus + aexceyplus * bezplus + aexbeyplus * 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); +} Index: node_modules/robust-predicates/esm/orient2d.js =================================================================== --- node_modules/robust-predicates/esm/orient2d.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/esm/orient2d.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,184 @@ +import {epsilon, splitter, resulterrbound, estimate, vec, sum} from './util.js'; + +const ccwerrboundA = (3 + 16 * epsilon) * epsilon; +const ccwerrboundB = (2 + 12 * epsilon) * epsilon; +const ccwerrboundC = (9 + 64 * epsilon) * epsilon * epsilon; + +const B = vec(4); +const C1 = vec(8); +const C2 = vec(12); +const D = vec(16); +const u = vec(4); + +function orient2dadapt(ax, ay, bx, by, cx, cy, detsum) { + let acxtail, acytail, bcxtail, bcytail; + let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3; + + const acx = ax - cx; + const bcx = bx - cx; + const acy = ay - cy; + const bcy = by - cy; + + s1 = acx * bcy; + c = splitter * acx; + ahi = c - (c - acx); + alo = acx - ahi; + c = splitter * bcy; + bhi = c - (c - bcy); + blo = bcy - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acy * bcx; + c = splitter * acy; + ahi = c - (c - acy); + alo = acy - ahi; + c = splitter * bcx; + bhi = c - (c - bcx); + blo = bcx - 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; + + let det = estimate(4, B); + let errbound = ccwerrboundB * detsum; + if (det >= errbound || -det >= errbound) { + return det; + } + + bvirt = ax - acx; + acxtail = ax - (acx + bvirt) + (bvirt - cx); + bvirt = bx - bcx; + bcxtail = bx - (bcx + bvirt) + (bvirt - cx); + bvirt = ay - acy; + acytail = ay - (acy + bvirt) + (bvirt - cy); + bvirt = by - bcy; + bcytail = by - (bcy + bvirt) + (bvirt - cy); + + if (acxtail === 0 && acytail === 0 && bcxtail === 0 && bcytail === 0) { + return det; + } + + errbound = ccwerrboundC * detsum + resulterrbound * Math.abs(det); + det += (acx * bcytail + bcy * acxtail) - (acy * bcxtail + bcx * acytail); + if (det >= errbound || -det >= errbound) return det; + + s1 = acxtail * bcy; + c = splitter * acxtail; + ahi = c - (c - acxtail); + alo = acxtail - ahi; + c = splitter * bcy; + bhi = c - (c - bcy); + blo = bcy - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acytail * bcx; + c = splitter * acytail; + ahi = c - (c - acytail); + alo = acytail - ahi; + c = splitter * bcx; + bhi = c - (c - bcx); + blo = bcx - bhi; + t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); + _i = s0 - t0; + bvirt = s0 - _i; + u[0] = s0 - (_i + bvirt) + (bvirt - t0); + _j = s1 + _i; + bvirt = _j - s1; + _0 = s1 - (_j - bvirt) + (_i - bvirt); + _i = _0 - t1; + bvirt = _0 - _i; + u[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + u[2] = _j - (u3 - bvirt) + (_i - bvirt); + u[3] = u3; + const C1len = sum(4, B, 4, u, C1); + + s1 = acx * bcytail; + c = splitter * acx; + ahi = c - (c - acx); + alo = acx - ahi; + c = splitter * bcytail; + bhi = c - (c - bcytail); + blo = bcytail - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acy * bcxtail; + c = splitter * acy; + ahi = c - (c - acy); + alo = acy - ahi; + c = splitter * bcxtail; + bhi = c - (c - bcxtail); + blo = bcxtail - bhi; + t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); + _i = s0 - t0; + bvirt = s0 - _i; + u[0] = s0 - (_i + bvirt) + (bvirt - t0); + _j = s1 + _i; + bvirt = _j - s1; + _0 = s1 - (_j - bvirt) + (_i - bvirt); + _i = _0 - t1; + bvirt = _0 - _i; + u[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + u[2] = _j - (u3 - bvirt) + (_i - bvirt); + u[3] = u3; + const C2len = sum(C1len, C1, 4, u, C2); + + s1 = acxtail * bcytail; + c = splitter * acxtail; + ahi = c - (c - acxtail); + alo = acxtail - ahi; + c = splitter * bcytail; + bhi = c - (c - bcytail); + blo = bcytail - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acytail * bcxtail; + c = splitter * acytail; + ahi = c - (c - acytail); + alo = acytail - ahi; + c = splitter * bcxtail; + bhi = c - (c - bcxtail); + blo = bcxtail - bhi; + t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); + _i = s0 - t0; + bvirt = s0 - _i; + u[0] = s0 - (_i + bvirt) + (bvirt - t0); + _j = s1 + _i; + bvirt = _j - s1; + _0 = s1 - (_j - bvirt) + (_i - bvirt); + _i = _0 - t1; + bvirt = _0 - _i; + u[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + u[2] = _j - (u3 - bvirt) + (_i - bvirt); + u[3] = u3; + const Dlen = sum(C2len, C2, 4, u, D); + + return D[Dlen - 1]; +} + +export function orient2d(ax, ay, bx, by, cx, cy) { + const detleft = (ay - cy) * (bx - cx); + const detright = (ax - cx) * (by - cy); + const det = detleft - detright; + + const detsum = Math.abs(detleft + detright); + if (Math.abs(det) >= ccwerrboundA * detsum) return det; + + return -orient2dadapt(ax, ay, bx, by, cx, cy, detsum); +} + +export function orient2dfast(ax, ay, bx, by, cx, cy) { + return (ay - cy) * (bx - cx) - (ax - cx) * (by - cy); +} Index: node_modules/robust-predicates/esm/orient3d.js =================================================================== --- node_modules/robust-predicates/esm/orient3d.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/esm/orient3d.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,462 @@ +import {epsilon, splitter, resulterrbound, estimate, vec, sum, scale} from './util.js'; + +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, _k, _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, _k, _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]; +} + +export 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); +} + +export 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); +} Index: node_modules/robust-predicates/esm/util.js =================================================================== --- node_modules/robust-predicates/esm/util.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/esm/util.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,138 @@ +export const epsilon = 1.1102230246251565e-16; +export const splitter = 134217729; +export const resulterrbound = (3 + 8 * epsilon) * epsilon; + +// fast_expansion_sum_zeroelim routine from oritinal code +export 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; +} + +export 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 +export 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; +} + +export function negate(elen, e) { + for (let i = 0; i < elen; i++) e[i] = -e[i]; + return elen; +} + +export function estimate(elen, e) { + let Q = e[0]; + for (let i = 1; i < elen; i++) Q += e[i]; + return Q; +} + +export function vec(n) { + return new Float64Array(n); +} Index: node_modules/robust-predicates/index.d.ts =================================================================== --- node_modules/robust-predicates/index.d.ts (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/index.d.ts (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,49 @@ +export as namespace predicates; + +export function orient2d( + ax: number, ay: number, + bx: number, by: number, + cx: number, cy: number): number; + +export function orient2dfast( + ax: number, ay: number, + bx: number, by: number, + cx: number, cy: number): number; + +export function incircle( + ax: number, ay: number, + bx: number, by: number, + cx: number, cy: number, + dx: number, dy: number): number; + +export function incirclefast( + ax: number, ay: number, + bx: number, by: number, + cx: number, cy: number, + dx: number, dy: number): number; + +export function orient3d( + ax: number, ay: number, az: number, + bx: number, by: number, bz: number, + cx: number, cy: number, cz: number, + dx: number, dy: number, dz: number): number; + +export function orient3dfast( + ax: number, ay: number, az: number, + bx: number, by: number, bz: number, + cx: number, cy: number, cz: number, + dx: number, dy: number, dz: number): number; + +export function insphere( + ax: number, ay: number, az: number, + bx: number, by: number, bz: number, + cx: number, cy: number, cz: number, + dx: number, dy: number, dz: number, + ex: number, ey: number, ez: number): number; + +export function inspherefast( + ax: number, ay: number, az: number, + bx: number, by: number, bz: number, + cx: number, cy: number, cz: number, + dx: number, dy: number, dz: number, + ex: number, ey: number, ez: number): number; Index: node_modules/robust-predicates/index.js =================================================================== --- node_modules/robust-predicates/index.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/index.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,5 @@ + +export {orient2d, orient2dfast} from './esm/orient2d.js'; +export {orient3d, orient3dfast} from './esm/orient3d.js'; +export {incircle, incirclefast} from './esm/incircle.js'; +export {insphere, inspherefast} from './esm/insphere.js'; Index: node_modules/robust-predicates/package.json =================================================================== --- node_modules/robust-predicates/package.json (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/package.json (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,75 @@ +{ + "name": "robust-predicates", + "version": "3.0.2", + "description": "Fast robust predicates for computational geometry", + "keywords": [ + "computational geometry", + "robust arithmetic" + ], + "author": "Vladimir Agafonkin", + "license": "Unlicense", + "type": "module", + "main": "index.js", + "unpkg": "umd/predicates.min.js", + "module": "index.js", + "exports": "./index.js", + "types": "index.d.ts", + "scripts": { + "build": "mkdirp esm && node compile.js", + "lint": "eslint *.js src test/test.js", + "test": "npm run lint && npm run build && node test/test.js", + "cov": "c8 node test/test.js", + "bench": "node bench.js", + "prepublishOnly": "npm run test && rollup -c" + }, + "devDependencies": { + "@rollup/plugin-terser": "^0.4.3", + "c8": "^7.13.0", + "eslint": "^8.41.0", + "eslint-config-mourner": "^3.0.0", + "mkdirp": "^3.0.1", + "nextafter": "^1.0.0", + "robust-in-sphere": "^1.2.1", + "robust-orientation": "^1.2.1", + "rollup": "^3.23.0" + }, + "files": [ + "index.js", + "index.d.ts", + "esm", + "umd" + ], + "repository": { + "type": "git", + "url": "https://github.com/mourner/robust-predicates.git" + }, + "eslintConfig": { + "extends": "mourner", + "parserOptions": { + "ecmaVersion": 2020 + }, + "rules": { + "camelcase": 0, + "new-cap": 0, + "no-unused-vars": [ + 2, + { + "varsIgnorePattern": "splitter|bvirt|c|[ab]hi|[ab]lo|_[ijk0]|u3|[st][01]" + } + ], + "no-lonely-if": 0 + }, + "globals": { + "$Fast_Two_Sum": false, + "$Two_Sum": false, + "$Two_Diff_Tail": false, + "$Split": false, + "$Two_Product": false, + "$Two_Product_Presplit": false, + "$Two_One_Product": false, + "$Cross_Product": false, + "$Square_Sum": false, + "$Two_Product_Sum": false + } + } +} Index: node_modules/robust-predicates/umd/incircle.js =================================================================== --- node_modules/robust-predicates/umd/incircle.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/umd/incircle.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,908 @@ +(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; + +})); Index: 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qt=t-Q,vt=c-Q,zt=O-Q,Bt=n-R,Ct=L-R,Dt=P-R;jt=vt*Dt,ht=e*vt,pt=ht-(ht-vt),Mt=vt-pt,ht=e*Dt,yt=ht-(ht-Dt),xt=Dt-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=zt*Ct,ht=e*zt,pt=ht-(ht-zt),Mt=zt-pt,ht=e*Ct,yt=ht-(ht-Ct),xt=Ct-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt-Ft,dt=wt-gt,a[0]=wt-(gt+dt)+(dt-Ft),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt-At,dt=Tt-gt,a[1]=Tt-(gt+dt)+(dt-At),kt=mt+gt,dt=kt-mt,a[2]=mt-(kt-dt)+(gt-dt),a[3]=kt,jt=zt*Bt,ht=e*zt,pt=ht-(ht-zt),Mt=zt-pt,ht=e*Bt,yt=ht-(ht-Bt),xt=Bt-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=qt*Dt,ht=e*qt,pt=ht-(ht-qt),Mt=qt-pt,ht=e*Dt,yt=ht-(ht-Dt),xt=Dt-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt-Ft,dt=wt-gt,l[0]=wt-(gt+dt)+(dt-Ft),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt-At,dt=Tt-gt,l[1]=Tt-(gt+dt)+(dt-At),kt=mt+gt,dt=kt-mt,l[2]=mt-(kt-dt)+(gt-dt),l[3]=kt,jt=qt*Ct,ht=e*qt,pt=ht-(ht-qt),Mt=qt-pt,ht=e*Ct,yt=ht-(ht-Ct),xt=Ct-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=vt*Bt,ht=e*vt,pt=ht-(ht-vt),Mt=vt-pt,ht=e*Bt,yt=ht-(ht-Bt),xt=Bt-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt-Ft,dt=wt-gt,b[0]=wt-(gt+dt)+(dt-Ft),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt-At,dt=Tt-gt,b[1]=Tt-(gt+dt)+(dt-At),kt=mt+gt,dt=kt-mt,b[2]=mt-(kt-dt)+(gt-dt),b[3]=kt,U=f(f(f(r(r(4,a,qt,B),B,qt,C),C,r(r(4,a,Bt,B),B,Bt,D),D,G),G,f(r(r(4,l,vt,B),B,vt,C),C,r(r(4,l,Ct,B),B,Ct,D),D,H),H,J),J,f(r(r(4,b,zt,B),B,zt,C),C,r(r(4,b,Dt,B),B,Dt,D),D,G),G,K);let Et=function(t,n){let e=n[0];for(let o=1;o=Gt||-Et>=Gt)return Et;if(dt=t-qt,V=t-(qt+dt)+(dt-Q),dt=n-Bt,Y=n-(Bt+dt)+(dt-R),dt=c-vt,W=c-(vt+dt)+(dt-Q),dt=L-Ct,Z=L-(Ct+dt)+(dt-R),dt=O-zt,X=O-(zt+dt)+(dt-Q),dt=P-Dt,$=P-(Dt+dt)+(dt-R),0===V&&0===W&&0===X&&0===Y&&0===Z&&0===$)return Et;if(Gt=u*S+o*Math.abs(Et),Et+=(qt*qt+Bt*Bt)*(vt*$+Dt*W-(Ct*X+zt*Z))+2*(qt*V+Bt*Y)*(vt*Dt-Ct*zt)+((vt*vt+Ct*Ct)*(zt*Y+Bt*X-(Dt*V+qt*$))+2*(vt*W+Ct*Z)*(zt*Bt-Dt*qt))+((zt*zt+Dt*Dt)*(qt*Z+Ct*V-(Bt*W+vt*Y))+2*(zt*X+Dt*$)*(qt*Ct-Bt*vt)),Et>=Gt||-Et>=Gt)return Et;if(0===W&&0===Z&&0===X&&0===$||(jt=qt*qt,ht=e*qt,pt=ht-(ht-qt),Mt=qt-pt,wt=Mt*Mt-(jt-pt*pt-(pt+pt)*Mt),At=Bt*Bt,ht=e*Bt,pt=ht-(ht-Bt),Mt=Bt-pt,Ft=Mt*Mt-(At-pt*pt-(pt+pt)*Mt),gt=wt+Ft,dt=gt-wt,d[0]=wt-(gt-dt)+(Ft-dt),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt+At,dt=gt-Tt,d[1]=Tt-(gt-dt)+(At-dt),kt=mt+gt,dt=kt-mt,d[2]=mt-(kt-dt)+(gt-dt),d[3]=kt),0===X&&0===$&&0===V&&0===Y||(jt=vt*vt,ht=e*vt,pt=ht-(ht-vt),Mt=vt-pt,wt=Mt*Mt-(jt-pt*pt-(pt+pt)*Mt),At=Ct*Ct,ht=e*Ct,pt=ht-(ht-Ct),Mt=Ct-pt,Ft=Mt*Mt-(At-pt*pt-(pt+pt)*Mt),gt=wt+Ft,dt=gt-wt,h[0]=wt-(gt-dt)+(Ft-dt),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt+At,dt=gt-Tt,h[1]=Tt-(gt-dt)+(At-dt),kt=mt+gt,dt=kt-mt,h[2]=mt-(kt-dt)+(gt-dt),h[3]=kt),0===V&&0===Y&&0===W&&0===Z||(jt=zt*zt,ht=e*zt,pt=ht-(ht-zt),Mt=zt-pt,wt=Mt*Mt-(jt-pt*pt-(pt+pt)*Mt),At=Dt*Dt,ht=e*Dt,pt=ht-(ht-Dt),Mt=Dt-pt,Ft=Mt*Mt-(At-pt*pt-(pt+pt)*Mt),gt=wt+Ft,dt=gt-wt,p[0]=wt-(gt-dt)+(Ft-dt),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt+At,dt=gt-Tt,p[1]=Tt-(gt-dt)+(At-dt),kt=mt+gt,dt=kt-mt,p[2]=mt-(kt-dt)+(gt-dt),p[3]=kt),0!==V&&(_=r(4,a,V,x),U=N(U,i(r(_,x,2*qt,C),C,r(r(4,p,V,B),B,Ct,D),D,r(r(4,h,V,B),B,-Dt,E),E,G,I),I)),0!==Y&&(tt=r(4,a,Y,g),U=N(U,i(r(tt,g,2*Bt,C),C,r(r(4,h,Y,B),B,zt,D),D,r(r(4,p,Y,B),B,-vt,E),E,G,I),I)),0!==W&&(nt=r(4,l,W,m),U=N(U,i(r(nt,m,2*vt,C),C,r(r(4,d,W,B),B,Dt,D),D,r(r(4,p,W,B),B,-Bt,E),E,G,I),I)),0!==Z&&(et=r(4,l,Z,T),U=N(U,i(r(et,T,2*Ct,C),C,r(r(4,p,Z,B),B,qt,D),D,r(r(4,d,Z,B),B,-zt,E),E,G,I),I)),0!==X&&(ot=r(4,b,X,j),U=N(U,i(r(ot,j,2*zt,C),C,r(r(4,h,X,B),B,Bt,D),D,r(r(4,d,X,B),B,-Ct,E),E,G,I),I)),0!==$&&(ft=r(4,b,$,w),U=N(U,i(r(ft,w,2*Dt,C),C,r(r(4,d,$,B),B,vt,D),D,r(r(4,h,$,B),B,-qt,E),E,G,I),I)),0!==V||0!==Y){if(0!==W||0!==Z||0!==X||0!==$?(jt=W*Dt,ht=e*W,pt=ht-(ht-W),Mt=W-pt,ht=e*Dt,yt=ht-(ht-Dt),xt=Dt-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=vt*$,ht=e*vt,pt=ht-(ht-vt),Mt=vt-pt,ht=e*$,yt=ht-(ht-$),xt=$-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt+Ft,dt=gt-wt,M[0]=wt-(gt-dt)+(Ft-dt),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt+At,dt=gt-Tt,M[1]=Tt-(gt-dt)+(At-dt),kt=mt+gt,dt=kt-mt,M[2]=mt-(kt-dt)+(gt-dt),M[3]=kt,jt=X*-Ct,ht=e*X,pt=ht-(ht-X),Mt=X-pt,ht=e*-Ct,yt=ht-(ht- -Ct),xt=-Ct-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=zt*-Z,ht=e*zt,pt=ht-(ht-zt),Mt=zt-pt,ht=e*-Z,yt=ht-(ht- -Z),xt=-Z-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt+Ft,dt=gt-wt,y[0]=wt-(gt-dt)+(Ft-dt),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt+At,dt=gt-Tt,y[1]=Tt-(gt-dt)+(At-dt),kt=mt+gt,dt=kt-mt,y[2]=mt-(kt-dt)+(gt-dt),y[3]=kt,rt=f(4,M,4,y,F),jt=W*$,ht=e*W,pt=ht-(ht-W),Mt=W-pt,ht=e*$,yt=ht-(ht-$),xt=$-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=X*Z,ht=e*X,pt=ht-(ht-X),Mt=X-pt,ht=e*Z,yt=ht-(ht-Z),xt=Z-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt-Ft,dt=wt-gt,v[0]=wt-(gt+dt)+(dt-Ft),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt-At,dt=Tt-gt,v[1]=Tt-(gt+dt)+(dt-At),kt=mt+gt,dt=kt-mt,v[2]=mt-(kt-dt)+(gt-dt),v[3]=kt,ut=4):(F[0]=0,rt=1,v[0]=0,ut=1),0!==V){const t=r(rt,F,V,E);U=N(U,f(r(_,x,V,C),C,r(t,E,2*qt,G),G,I),I);const n=r(ut,v,V,B);U=N(U,i(r(n,B,2*qt,C),C,r(n,B,V,D),D,r(t,E,V,G),G,H,J),J),0!==Z&&(U=N(U,r(r(4,p,V,B),B,Z,C),C)),0!==$&&(U=N(U,r(r(4,h,-V,B),B,$,C),C))}if(0!==Y){const t=r(rt,F,Y,E);U=N(U,f(r(tt,g,Y,C),C,r(t,E,2*Bt,G),G,I),I);const n=r(ut,v,Y,B);U=N(U,i(r(n,B,2*Bt,C),C,r(n,B,Y,D),D,r(t,E,Y,G),G,H,J),J)}}if(0!==W||0!==Z){if(0!==X||0!==$||0!==V||0!==Y?(jt=X*Bt,ht=e*X,pt=ht-(ht-X),Mt=X-pt,ht=e*Bt,yt=ht-(ht-Bt),xt=Bt-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=zt*Y,ht=e*zt,pt=ht-(ht-zt),Mt=zt-pt,ht=e*Y,yt=ht-(ht-Y),xt=Y-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt+Ft,dt=gt-wt,M[0]=wt-(gt-dt)+(Ft-dt),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt+At,dt=gt-Tt,M[1]=Tt-(gt-dt)+(At-dt),kt=mt+gt,dt=kt-mt,M[2]=mt-(kt-dt)+(gt-dt),M[3]=kt,lt=-Dt,bt=-$,jt=V*lt,ht=e*V,pt=ht-(ht-V),Mt=V-pt,ht=e*lt,yt=ht-(ht-lt),xt=lt-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=qt*bt,ht=e*qt,pt=ht-(ht-qt),Mt=qt-pt,ht=e*bt,yt=ht-(ht-bt),xt=bt-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt+Ft,dt=gt-wt,y[0]=wt-(gt-dt)+(Ft-dt),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt+At,dt=gt-Tt,y[1]=Tt-(gt-dt)+(At-dt),kt=mt+gt,dt=kt-mt,y[2]=mt-(kt-dt)+(gt-dt),y[3]=kt,ct=f(4,M,4,y,k),jt=X*Y,ht=e*X,pt=ht-(ht-X),Mt=X-pt,ht=e*Y,yt=ht-(ht-Y),xt=Y-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=V*$,ht=e*V,pt=ht-(ht-V),Mt=V-pt,ht=e*$,yt=ht-(ht-$),xt=$-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt-Ft,dt=wt-gt,z[0]=wt-(gt+dt)+(dt-Ft),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt-At,dt=Tt-gt,z[1]=Tt-(gt+dt)+(dt-At),kt=mt+gt,dt=kt-mt,z[2]=mt-(kt-dt)+(gt-dt),z[3]=kt,at=4):(k[0]=0,ct=1,z[0]=0,at=1),0!==W){const t=r(ct,k,W,E);U=N(U,f(r(nt,m,W,C),C,r(t,E,2*vt,G),G,I),I);const n=r(at,z,W,B);U=N(U,i(r(n,B,2*vt,C),C,r(n,B,W,D),D,r(t,E,W,G),G,H,J),J),0!==$&&(U=N(U,r(r(4,d,W,B),B,$,C),C)),0!==Y&&(U=N(U,r(r(4,p,-W,B),B,Y,C),C))}if(0!==Z){const t=r(ct,k,Z,E);U=N(U,f(r(et,T,Z,C),C,r(t,E,2*Ct,G),G,I),I);const n=r(at,z,Z,B);U=N(U,i(r(n,B,2*Ct,C),C,r(n,B,Z,D),D,r(t,E,Z,G),G,H,J),J)}}if(0!==X||0!==$){if(0!==V||0!==Y||0!==W||0!==Z?(jt=V*Ct,ht=e*V,pt=ht-(ht-V),Mt=V-pt,ht=e*Ct,yt=ht-(ht-Ct),xt=Ct-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=qt*Z,ht=e*qt,pt=ht-(ht-qt),Mt=qt-pt,ht=e*Z,yt=ht-(ht-Z),xt=Z-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt+Ft,dt=gt-wt,M[0]=wt-(gt-dt)+(Ft-dt),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt+At,dt=gt-Tt,M[1]=Tt-(gt-dt)+(At-dt),kt=mt+gt,dt=kt-mt,M[2]=mt-(kt-dt)+(gt-dt),M[3]=kt,lt=-Bt,bt=-Y,jt=W*lt,ht=e*W,pt=ht-(ht-W),Mt=W-pt,ht=e*lt,yt=ht-(ht-lt),xt=lt-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=vt*bt,ht=e*vt,pt=ht-(ht-vt),Mt=vt-pt,ht=e*bt,yt=ht-(ht-bt),xt=bt-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt+Ft,dt=gt-wt,y[0]=wt-(gt-dt)+(Ft-dt),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt+At,dt=gt-Tt,y[1]=Tt-(gt-dt)+(At-dt),kt=mt+gt,dt=kt-mt,y[2]=mt-(kt-dt)+(gt-dt),y[3]=kt,it=f(4,M,4,y,A),jt=V*Z,ht=e*V,pt=ht-(ht-V),Mt=V-pt,ht=e*Z,yt=ht-(ht-Z),xt=Z-yt,wt=Mt*xt-(jt-pt*yt-Mt*yt-pt*xt),At=W*Y,ht=e*W,pt=ht-(ht-W),Mt=W-pt,ht=e*Y,yt=ht-(ht-Y),xt=Y-yt,Ft=Mt*xt-(At-pt*yt-Mt*yt-pt*xt),gt=wt-Ft,dt=wt-gt,q[0]=wt-(gt+dt)+(dt-Ft),mt=jt+gt,dt=mt-jt,Tt=jt-(mt-dt)+(gt-dt),gt=Tt-At,dt=Tt-gt,q[1]=Tt-(gt+dt)+(dt-At),kt=mt+gt,dt=kt-mt,q[2]=mt-(kt-dt)+(gt-dt),q[3]=kt,st=4):(A[0]=0,it=1,q[0]=0,st=1),0!==X){const t=r(it,A,X,E);U=N(U,f(r(ot,j,X,C),C,r(t,E,2*zt,G),G,I),I);const n=r(st,q,X,B);U=N(U,i(r(n,B,2*zt,C),C,r(n,B,X,D),D,r(t,E,X,G),G,H,J),J),0!==Y&&(U=N(U,r(r(4,h,X,B),B,Y,C),C)),0!==Z&&(U=N(U,r(r(4,d,-X,B),B,Z,C),C))}if(0!==$){const t=r(it,A,$,E);U=N(U,f(r(ft,w,$,C),C,r(t,E,2*Dt,G),G,I),I);const n=r(st,q,$,B);U=N(U,i(r(n,B,2*Dt,C),C,r(n,B,$,D),D,r(t,E,$,G),G,H,J),J)}}return K[U-1]}(t,n,c,L,O,P,Q,R,ct)},t.incirclefast=function(t,n,e,o,f,i,r,c){const s=t-r,u=n-c,a=e-r,l=o-c,b=f-r,d=i-c;return(s*s+u*u)*(a*d-b*l)+(a*a+l*l)*(b*u-s*d)+(b*b+d*d)*(s*l-a*u)}})); Index: node_modules/robust-predicates/umd/insphere.js =================================================================== --- node_modules/robust-predicates/umd/insphere.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/umd/insphere.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,914 @@ +(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 negate(elen, e) { + for (let i = 0; i < elen; i++) e[i] = -e[i]; + return elen; +} + +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 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); +} + +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 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 * (dez * ab + aez * bd + bez * da) - dlift * (aez * bc - bez * ac + cez * ab)) + + (alift * (bez * cd - cez * bd + dez * bc) - blift * (cez * da + dez * ac + aez * cd)); + + 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) + Math.abs(bexaey); + const bexceyplus = Math.abs(bexcey) + Math.abs(cexbey); + const cexdeyplus = Math.abs(cexdey) + Math.abs(dexcey); + const dexaeyplus = Math.abs(dexaey) + Math.abs(aexdey); + const aexceyplus = Math.abs(aexcey) + Math.abs(cexaey); + const bexdeyplus = Math.abs(bexdey) + Math.abs(dexbey); + const permanent = + (cexdeyplus * bezplus + bexdeyplus * cezplus + bexceyplus * dezplus) * alift + + (dexaeyplus * cezplus + aexceyplus * dezplus + cexdeyplus * aezplus) * blift + + (aexbeyplus * dezplus + bexdeyplus * aezplus + dexaeyplus * bezplus) * clift + + (bexceyplus * aezplus + aexceyplus * bezplus + aexbeyplus * 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); +} + +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); +} + +exports.insphere = insphere; +exports.inspherefast = inspherefast; + +})); Index: node_modules/robust-predicates/umd/insphere.min.js =================================================================== --- node_modules/robust-predicates/umd/insphere.min.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/umd/insphere.min.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,1 @@ +!function(t,n){"object"==typeof exports&&"undefined"!=typeof module?n(exports):"function"==typeof define&&define.amd?define(["exports"],n):n((t="undefined"!=typeof globalThis?globalThis:t||self).predicates={})}(this,(function(t){"use strict";const n=11102230246251565e-32,e=134217729,r=(3+8*n)*n;function o(t,n,e,r,o){let a,s,f,u,i=n[0],c=r[0],h=0,b=0;c>i==c>-i?(a=i,i=n[++h]):(a=c,c=r[++b]);let l=0;if(hi==c>-i?(s=i+a,f=a-(s-i),i=n[++h]):(s=c+a,f=a-(s-c),c=r[++b]),a=s,0!==f&&(o[l++]=f);hi==c>-i?(s=a+i,u=s-a,f=a-(s-u)+(i-u),i=n[++h]):(s=a+c,u=s-a,f=a-(s-u)+(c-u),c=r[++b]),a=s,0!==f&&(o[l++]=f);for(;h=Ut||-St>=Ut)return 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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 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 ccwerrboundA = (3 + 16 * epsilon) * epsilon; +const ccwerrboundB = (2 + 12 * epsilon) * epsilon; +const ccwerrboundC = (9 + 64 * epsilon) * epsilon * epsilon; + +const B = vec(4); +const C1 = vec(8); +const C2 = vec(12); +const D = vec(16); +const u = vec(4); + +function orient2dadapt(ax, ay, bx, by, cx, cy, detsum) { + let acxtail, acytail, bcxtail, bcytail; + let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3; + + const acx = ax - cx; + const bcx = bx - cx; + const acy = ay - cy; + const bcy = by - cy; + + s1 = acx * bcy; + c = splitter * acx; + ahi = c - (c - acx); + alo = acx - ahi; + c = splitter * bcy; + bhi = c - (c - bcy); + blo = bcy - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acy * bcx; + c = splitter * acy; + ahi = c - (c - acy); + alo = acy - ahi; + c = splitter * bcx; + bhi = c - (c - bcx); + blo = bcx - 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; + + let det = estimate(4, B); + let errbound = ccwerrboundB * detsum; + if (det >= errbound || -det >= errbound) { + return det; + } + + bvirt = ax - acx; + acxtail = ax - (acx + bvirt) + (bvirt - cx); + bvirt = bx - bcx; + bcxtail = bx - (bcx + bvirt) + (bvirt - cx); + bvirt = ay - acy; + acytail = ay - (acy + bvirt) + (bvirt - cy); + bvirt = by - bcy; + bcytail = by - (bcy + bvirt) + (bvirt - cy); + + if (acxtail === 0 && acytail === 0 && bcxtail === 0 && bcytail === 0) { + return det; + } + + errbound = ccwerrboundC * detsum + resulterrbound * Math.abs(det); + det += (acx * bcytail + bcy * acxtail) - (acy * bcxtail + bcx * acytail); + if (det >= errbound || -det >= errbound) return det; + + s1 = acxtail * bcy; + c = splitter * acxtail; + ahi = c - (c - acxtail); + alo = acxtail - ahi; + c = splitter * bcy; + bhi = c - (c - bcy); + blo = bcy - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acytail * bcx; + c = splitter * acytail; + ahi = c - (c - acytail); + alo = acytail - ahi; + c = splitter * bcx; + bhi = c - (c - bcx); + blo = bcx - bhi; + t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); + _i = s0 - t0; + bvirt = s0 - _i; + u[0] = s0 - (_i + bvirt) + (bvirt - t0); + _j = s1 + _i; + bvirt = _j - s1; + _0 = s1 - (_j - bvirt) + (_i - bvirt); + _i = _0 - t1; + bvirt = _0 - _i; + u[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + u[2] = _j - (u3 - bvirt) + (_i - bvirt); + u[3] = u3; + const C1len = sum(4, B, 4, u, C1); + + s1 = acx * bcytail; + c = splitter * acx; + ahi = c - (c - acx); + alo = acx - ahi; + c = splitter * bcytail; + bhi = c - (c - bcytail); + blo = bcytail - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acy * bcxtail; + c = splitter * acy; + ahi = c - (c - acy); + alo = acy - ahi; + c = splitter * bcxtail; + bhi = c - (c - bcxtail); + blo = bcxtail - bhi; + t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); + _i = s0 - t0; + bvirt = s0 - _i; + u[0] = s0 - (_i + bvirt) + (bvirt - t0); + _j = s1 + _i; + bvirt = _j - s1; + _0 = s1 - (_j - bvirt) + (_i - bvirt); + _i = _0 - t1; + bvirt = _0 - _i; + u[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + u[2] = _j - (u3 - bvirt) + (_i - bvirt); + u[3] = u3; + const C2len = sum(C1len, C1, 4, u, C2); + + s1 = acxtail * bcytail; + c = splitter * acxtail; + ahi = c - (c - acxtail); + alo = acxtail - ahi; + c = splitter * bcytail; + bhi = c - (c - bcytail); + blo = bcytail - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acytail * bcxtail; + c = splitter * acytail; + ahi = c - (c - acytail); + alo = acytail - ahi; + c = splitter * bcxtail; + bhi = c - (c - bcxtail); + blo = bcxtail - bhi; + t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); + _i = s0 - t0; + bvirt = s0 - _i; + u[0] = s0 - (_i + bvirt) + (bvirt - t0); + _j = s1 + _i; + bvirt = _j - s1; + _0 = s1 - (_j - bvirt) + (_i - bvirt); + _i = _0 - t1; + bvirt = _0 - _i; + u[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + u[2] = _j - (u3 - bvirt) + (_i - bvirt); + u[3] = u3; + const Dlen = sum(C2len, C2, 4, u, D); + + return D[Dlen - 1]; +} + +function orient2d(ax, ay, bx, by, cx, cy) { + const detleft = (ay - cy) * (bx - cx); + const detright = (ax - cx) * (by - cy); + const det = detleft - detright; + + const detsum = Math.abs(detleft + detright); + if (Math.abs(det) >= ccwerrboundA * detsum) return det; + + return -orient2dadapt(ax, ay, bx, by, cx, cy, detsum); +} + +function orient2dfast(ax, ay, bx, by, cx, cy) { + return (ay - cy) * (bx - cx) - (ax - cx) * (by - cy); +} + +exports.orient2d = orient2d; +exports.orient2dfast = orient2dfast; + +})); Index: node_modules/robust-predicates/umd/orient2d.min.js =================================================================== --- node_modules/robust-predicates/umd/orient2d.min.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/umd/orient2d.min.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,1 @@ +!function(t,e){"object"==typeof exports&&"undefined"!=typeof module?e(exports):"function"==typeof define&&define.amd?define(["exports"],e):e((t="undefined"!=typeof globalThis?globalThis:t||self).predicates={})}(this,(function(t){"use strict";const e=11102230246251565e-32,n=134217729,o=(3+8*e)*e;function r(t,e,n,o,r){let f,i,u,s,c=e[0],a=o[0],l=0,d=0;a>c==a>-c?(f=c,c=e[++l]):(f=a,a=o[++d]);let p=0;if(lc==a>-c?(i=c+f,u=f-(i-c),c=e[++l]):(i=a+f,u=f-(i-a),a=o[++d]),f=i,0!==u&&(r[p++]=u);lc==a>-c?(i=f+c,s=i-f,u=f-(i-s)+(c-s),c=e[++l]):(i=f+a,s=i-f,u=f-(i-s)+(a-s),a=o[++d]),f=i,0!==u&&(r[p++]=u);for(;l=33306690738754716e-32*g?M:-function(t,e,f,p,b,h,y){let x,M,g,m,T,j,w,A,F,k,q,v,z,B,C,D,E,G;const H=t-b,I=f-b,J=e-h,K=p-h;B=H*K,j=n*H,w=j-(j-H),A=H-w,j=n*K,F=j-(j-K),k=K-F,C=A*k-(B-w*F-A*F-w*k),D=J*I,j=n*J,w=j-(j-J),A=J-w,j=n*I,F=j-(j-I),k=I-F,E=A*k-(D-w*F-A*F-w*k),q=C-E,T=C-q,s[0]=C-(q+T)+(T-E),v=B+q,T=v-B,z=B-(v-T)+(q-T),q=z-D,T=z-q,s[1]=z-(q+T)+(T-D),G=v+q,T=G-v,s[2]=v-(G-T)+(q-T),s[3]=G;let L=function(t,e){let n=e[0];for(let o=1;o=N||-L>=N)return L;if(T=t-H,x=t-(H+T)+(T-b),T=f-I,g=f-(I+T)+(T-b),T=e-J,M=e-(J+T)+(T-h),T=p-K,m=p-(K+T)+(T-h),0===x&&0===M&&0===g&&0===m)return L;if(N=u*y+o*Math.abs(L),L+=H*m+K*x-(J*g+I*M),L>=N||-L>=N)return L;B=x*K,j=n*x,w=j-(j-x),A=x-w,j=n*K,F=j-(j-K),k=K-F,C=A*k-(B-w*F-A*F-w*k),D=M*I,j=n*M,w=j-(j-M),A=M-w,j=n*I,F=j-(j-I),k=I-F,E=A*k-(D-w*F-A*F-w*k),q=C-E,T=C-q,d[0]=C-(q+T)+(T-E),v=B+q,T=v-B,z=B-(v-T)+(q-T),q=z-D,T=z-q,d[1]=z-(q+T)+(T-D),G=v+q,T=G-v,d[2]=v-(G-T)+(q-T),d[3]=G;const O=r(4,s,4,d,c);B=H*m,j=n*H,w=j-(j-H),A=H-w,j=n*m,F=j-(j-m),k=m-F,C=A*k-(B-w*F-A*F-w*k),D=J*g,j=n*J,w=j-(j-J),A=J-w,j=n*g,F=j-(j-g),k=g-F,E=A*k-(D-w*F-A*F-w*k),q=C-E,T=C-q,d[0]=C-(q+T)+(T-E),v=B+q,T=v-B,z=B-(v-T)+(q-T),q=z-D,T=z-q,d[1]=z-(q+T)+(T-D),G=v+q,T=G-v,d[2]=v-(G-T)+(q-T),d[3]=G;const P=r(O,c,4,d,a);B=x*m,j=n*x,w=j-(j-x),A=x-w,j=n*m,F=j-(j-m),k=m-F,C=A*k-(B-w*F-A*F-w*k),D=M*g,j=n*M,w=j-(j-M),A=M-w,j=n*g,F=j-(j-g),k=g-F,E=A*k-(D-w*F-A*F-w*k),q=C-E,T=C-q,d[0]=C-(q+T)+(T-E),v=B+q,T=v-B,z=B-(v-T)+(q-T),q=z-D,T=z-q,d[1]=z-(q+T)+(T-D),G=v+q,T=G-v,d[2]=v-(G-T)+(q-T),d[3]=G;const Q=r(P,a,4,d,l);return l[Q-1]}(t,e,f,p,b,h,g)},t.orient2dfast=function(t,e,n,o,r,f){return(e-f)*(n-r)-(t-r)*(o-f)}})); Index: node_modules/robust-predicates/umd/orient3d.js =================================================================== --- node_modules/robust-predicates/umd/orient3d.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/umd/orient3d.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,601 @@ +(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; + +})); Index: node_modules/robust-predicates/umd/orient3d.min.js =================================================================== --- node_modules/robust-predicates/umd/orient3d.min.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/umd/orient3d.min.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,1 @@ +!function(t,n){"object"==typeof exports&&"undefined"!=typeof module?n(exports):"function"==typeof define&&define.amd?define(["exports"],n):n((t="undefined"!=typeof globalThis?globalThis:t||self).predicates={})}(this,(function(t){"use strict";const n=11102230246251565e-32,e=134217729,o=(3+8*n)*n;function r(t,n,e,o,r){let 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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 negate(elen, e) { + for (let i = 0; i < elen; i++) e[i] = -e[i]; + return elen; +} + +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 ccwerrboundA = (3 + 16 * epsilon) * epsilon; +const ccwerrboundB = (2 + 12 * epsilon) * epsilon; +const ccwerrboundC = (9 + 64 * epsilon) * epsilon * epsilon; + +const B = vec(4); +const C1 = vec(8); +const C2 = vec(12); +const D = vec(16); +const u$2 = vec(4); + +function orient2dadapt(ax, ay, bx, by, cx, cy, detsum) { + let acxtail, acytail, bcxtail, bcytail; + let bvirt, c, ahi, alo, bhi, blo, _i, _j, _0, s1, s0, t1, t0, u3; + + const acx = ax - cx; + const bcx = bx - cx; + const acy = ay - cy; + const bcy = by - cy; + + s1 = acx * bcy; + c = splitter * acx; + ahi = c - (c - acx); + alo = acx - ahi; + c = splitter * bcy; + bhi = c - (c - bcy); + blo = bcy - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acy * bcx; + c = splitter * acy; + ahi = c - (c - acy); + alo = acy - ahi; + c = splitter * bcx; + bhi = c - (c - bcx); + blo = bcx - 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; + + let det = estimate(4, B); + let errbound = ccwerrboundB * detsum; + if (det >= errbound || -det >= errbound) { + return det; + } + + bvirt = ax - acx; + acxtail = ax - (acx + bvirt) + (bvirt - cx); + bvirt = bx - bcx; + bcxtail = bx - (bcx + bvirt) + (bvirt - cx); + bvirt = ay - acy; + acytail = ay - (acy + bvirt) + (bvirt - cy); + bvirt = by - bcy; + bcytail = by - (bcy + bvirt) + (bvirt - cy); + + if (acxtail === 0 && acytail === 0 && bcxtail === 0 && bcytail === 0) { + return det; + } + + errbound = ccwerrboundC * detsum + resulterrbound * Math.abs(det); + det += (acx * bcytail + bcy * acxtail) - (acy * bcxtail + bcx * acytail); + if (det >= errbound || -det >= errbound) return det; + + s1 = acxtail * bcy; + c = splitter * acxtail; + ahi = c - (c - acxtail); + alo = acxtail - ahi; + c = splitter * bcy; + bhi = c - (c - bcy); + blo = bcy - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acytail * bcx; + c = splitter * acytail; + ahi = c - (c - acytail); + alo = acytail - ahi; + c = splitter * bcx; + bhi = c - (c - bcx); + blo = bcx - bhi; + t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); + _i = s0 - t0; + bvirt = s0 - _i; + u$2[0] = s0 - (_i + bvirt) + (bvirt - t0); + _j = s1 + _i; + bvirt = _j - s1; + _0 = s1 - (_j - bvirt) + (_i - bvirt); + _i = _0 - t1; + bvirt = _0 - _i; + u$2[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + u$2[2] = _j - (u3 - bvirt) + (_i - bvirt); + u$2[3] = u3; + const C1len = sum(4, B, 4, u$2, C1); + + s1 = acx * bcytail; + c = splitter * acx; + ahi = c - (c - acx); + alo = acx - ahi; + c = splitter * bcytail; + bhi = c - (c - bcytail); + blo = bcytail - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acy * bcxtail; + c = splitter * acy; + ahi = c - (c - acy); + alo = acy - ahi; + c = splitter * bcxtail; + bhi = c - (c - bcxtail); + blo = bcxtail - bhi; + t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); + _i = s0 - t0; + bvirt = s0 - _i; + u$2[0] = s0 - (_i + bvirt) + (bvirt - t0); + _j = s1 + _i; + bvirt = _j - s1; + _0 = s1 - (_j - bvirt) + (_i - bvirt); + _i = _0 - t1; + bvirt = _0 - _i; + u$2[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + u$2[2] = _j - (u3 - bvirt) + (_i - bvirt); + u$2[3] = u3; + const C2len = sum(C1len, C1, 4, u$2, C2); + + s1 = acxtail * bcytail; + c = splitter * acxtail; + ahi = c - (c - acxtail); + alo = acxtail - ahi; + c = splitter * bcytail; + bhi = c - (c - bcytail); + blo = bcytail - bhi; + s0 = alo * blo - (s1 - ahi * bhi - alo * bhi - ahi * blo); + t1 = acytail * bcxtail; + c = splitter * acytail; + ahi = c - (c - acytail); + alo = acytail - ahi; + c = splitter * bcxtail; + bhi = c - (c - bcxtail); + blo = bcxtail - bhi; + t0 = alo * blo - (t1 - ahi * bhi - alo * bhi - ahi * blo); + _i = s0 - t0; + bvirt = s0 - _i; + u$2[0] = s0 - (_i + bvirt) + (bvirt - t0); + _j = s1 + _i; + bvirt = _j - s1; + _0 = s1 - (_j - bvirt) + (_i - bvirt); + _i = _0 - t1; + bvirt = _0 - _i; + u$2[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + u$2[2] = _j - (u3 - bvirt) + (_i - bvirt); + u$2[3] = u3; + const Dlen = sum(C2len, C2, 4, u$2, D); + + return D[Dlen - 1]; +} + +function orient2d(ax, ay, bx, by, cx, cy) { + const detleft = (ay - cy) * (bx - cx); + const detright = (ax - cx) * (by - cy); + const det = detleft - detright; + + const detsum = Math.abs(detleft + detright); + if (Math.abs(det) >= ccwerrboundA * detsum) return det; + + return -orient2dadapt(ax, ay, bx, by, cx, cy, detsum); +} + +function orient2dfast(ax, ay, bx, by, cx, cy) { + return (ay - cy) * (bx - cx) - (ax - cx) * (by - cy); +} + +const o3derrboundA = (7 + 56 * epsilon) * epsilon; +const o3derrboundB = (3 + 28 * epsilon) * epsilon; +const o3derrboundC = (26 + 288 * epsilon) * epsilon * epsilon; + +const bc$2 = vec(4); +const ca$1 = vec(4); +const ab$2 = 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$1 = vec(8); +const cat$1 = vec(8); +const abt$1 = vec(8); +const u$1 = vec(4); + +const _8$2 = vec(8); +const _8b$1 = vec(8); +const _16$2 = vec(8); +const _12 = vec(12); + +let fin$2 = vec(192); +let fin2$1 = vec(192); + +function finadd$1(finlen, alen, a) { + finlen = sum(finlen, fin$2, alen, a, fin2$1); + const tmp = fin$2; fin$2 = fin2$1; fin2$1 = 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$1[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[1] = _i - (_k - bvirt) + (_0 - bvirt); + u3 = _j + _k; + u$1[2] = _k - (u3 - _j); + u$1[3] = u3; + finlen = finadd$1(finlen, 4, u$1); + 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$1[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[1] = _i - (_k - bvirt) + (_0 - bvirt); + u3 = _j + _k; + u$1[2] = _k - (u3 - _j); + u$1[3] = u3; + finlen = finadd$1(finlen, 4, u$1); + } + 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$2[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$2[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + bc$2[2] = _j - (u3 - bvirt) + (_i - bvirt); + bc$2[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$1[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[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + ca$1[2] = _j - (u3 - bvirt) + (_i - bvirt); + ca$1[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$2[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$2[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + ab$2[2] = _j - (u3 - bvirt) + (_i - bvirt); + ab$2[3] = u3; + + finlen = sum( + sum( + scale(4, bc$2, adz, _8$2), _8$2, + scale(4, ca$1, bdz, _8b$1), _8b$1, _16$2), _16$2, + scale(4, ab$2, cdz, _8$2), _8$2, fin$2); + + let det = estimate(finlen, fin$2); + 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$1); + finlen = finadd$1(finlen, scale(bctlen, bct$1, adz, _16$2), _16$2); + + const catlen = sum(ct_len, ct_a, at_len, at_c, cat$1); + finlen = finadd$1(finlen, scale(catlen, cat$1, bdz, _16$2), _16$2); + + const abtlen = sum(at_len, at_b, bt_len, bt_a, abt$1); + finlen = finadd$1(finlen, scale(abtlen, abt$1, cdz, _16$2), _16$2); + + if (adztail !== 0) { + finlen = finadd$1(finlen, scale(4, bc$2, adztail, _12), _12); + finlen = finadd$1(finlen, scale(bctlen, bct$1, adztail, _16$2), _16$2); + } + if (bdztail !== 0) { + finlen = finadd$1(finlen, scale(4, ca$1, bdztail, _12), _12); + finlen = finadd$1(finlen, scale(catlen, cat$1, bdztail, _16$2), _16$2); + } + if (cdztail !== 0) { + finlen = finadd$1(finlen, scale(4, ab$2, cdztail, _12), _12); + finlen = finadd$1(finlen, scale(abtlen, abt$1, cdztail, _16$2), _16$2); + } + + 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$2[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); +} + +const iccerrboundA = (10 + 96 * epsilon) * epsilon; +const iccerrboundB = (4 + 48 * epsilon) * epsilon; +const iccerrboundC = (44 + 576 * epsilon) * epsilon * epsilon; + +const bc$1 = vec(4); +const ca = vec(4); +const ab$1 = 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$1 = vec(8); +const _16$1 = vec(16); +const _16b = vec(16); +const _16c = vec(16); +const _32 = vec(32); +const _32b = vec(32); +const _48$1 = vec(48); +const _64 = vec(64); + +let fin$1 = vec(1152); +let fin2 = vec(1152); + +function finadd(finlen, a, alen) { + finlen = sum(finlen, fin$1, a, alen, fin2); + const tmp = fin$1; fin$1 = 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$1[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[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + bc$1[2] = _j - (u3 - bvirt) + (_i - bvirt); + bc$1[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$1[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[1] = _0 - (_i + bvirt) + (bvirt - t1); + u3 = _j + _i; + bvirt = u3 - _j; + ab$1[2] = _j - (u3 - bvirt) + (_i - bvirt); + ab$1[3] = u3; + + finlen = sum( + sum( + sum( + scale(scale(4, bc$1, adx, _8$1), _8$1, adx, _16$1), _16$1, + scale(scale(4, bc$1, ady, _8$1), _8$1, ady, _16b), _16b, _32), _32, + sum( + scale(scale(4, ca, bdx, _8$1), _8$1, bdx, _16$1), _16$1, + scale(scale(4, ca, bdy, _8$1), _8$1, bdy, _16b), _16b, _32b), _32b, _64), _64, + sum( + scale(scale(4, ab$1, cdx, _8$1), _8$1, cdx, _16$1), _16$1, + scale(scale(4, ab$1, cdy, _8$1), _8$1, cdy, _16b), _16b, _32), _32, fin$1); + + let det = estimate(finlen, fin$1); + 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$1, adxtail, axtbc); + finlen = finadd(finlen, sum_three( + scale(axtbclen, axtbc, 2 * adx, _16$1), _16$1, + scale(scale(4, cc, adxtail, _8$1), _8$1, bdy, _16b), _16b, + scale(scale(4, bb, adxtail, _8$1), _8$1, -cdy, _16c), _16c, _32, _48$1), _48$1); + } + if (adytail !== 0) { + aytbclen = scale(4, bc$1, adytail, aytbc); + finlen = finadd(finlen, sum_three( + scale(aytbclen, aytbc, 2 * ady, _16$1), _16$1, + scale(scale(4, bb, adytail, _8$1), _8$1, cdx, _16b), _16b, + scale(scale(4, cc, adytail, _8$1), _8$1, -bdx, _16c), _16c, _32, _48$1), _48$1); + } + if (bdxtail !== 0) { + bxtcalen = scale(4, ca, bdxtail, bxtca); + finlen = finadd(finlen, sum_three( + scale(bxtcalen, bxtca, 2 * bdx, _16$1), _16$1, + scale(scale(4, aa, bdxtail, _8$1), _8$1, cdy, _16b), _16b, + scale(scale(4, cc, bdxtail, _8$1), _8$1, -ady, _16c), _16c, _32, _48$1), _48$1); + } + if (bdytail !== 0) { + bytcalen = scale(4, ca, bdytail, bytca); + finlen = finadd(finlen, sum_three( + scale(bytcalen, bytca, 2 * bdy, _16$1), _16$1, + scale(scale(4, cc, bdytail, _8$1), _8$1, adx, _16b), _16b, + scale(scale(4, aa, bdytail, _8$1), _8$1, -cdx, _16c), _16c, _32, _48$1), _48$1); + } + if (cdxtail !== 0) { + cxtablen = scale(4, ab$1, cdxtail, cxtab); + finlen = finadd(finlen, sum_three( + scale(cxtablen, cxtab, 2 * cdx, _16$1), _16$1, + scale(scale(4, bb, cdxtail, _8$1), _8$1, ady, _16b), _16b, + scale(scale(4, aa, cdxtail, _8$1), _8$1, -bdy, _16c), _16c, _32, _48$1), _48$1); + } + if (cdytail !== 0) { + cytablen = scale(4, ab$1, cdytail, cytab); + finlen = finadd(finlen, sum_three( + scale(cytablen, cytab, 2 * cdy, _16$1), _16$1, + scale(scale(4, aa, cdytail, _8$1), _8$1, bdx, _16b), _16b, + scale(scale(4, bb, cdytail, _8$1), _8$1, -adx, _16c), _16c, _32, _48$1), _48$1); + } + + 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$1), _16$1, + scale(len, _16c, 2 * adx, _32), _32, _48$1), _48$1); + + const len2 = scale(bcttlen, bctt, adxtail, _8$1); + finlen = finadd(finlen, sum_three( + scale(len2, _8$1, 2 * adx, _16$1), _16$1, + scale(len2, _8$1, adxtail, _16b), _16b, + scale(len, _16c, adxtail, _32), _32, _32b, _64), _64); + + if (bdytail !== 0) { + finlen = finadd(finlen, scale(scale(4, cc, adxtail, _8$1), _8$1, bdytail, _16$1), _16$1); + } + if (cdytail !== 0) { + finlen = finadd(finlen, scale(scale(4, bb, -adxtail, _8$1), _8$1, cdytail, _16$1), _16$1); + } + } + if (adytail !== 0) { + const len = scale(bctlen, bct, adytail, _16c); + finlen = finadd(finlen, sum( + scale(aytbclen, aytbc, adytail, _16$1), _16$1, + scale(len, _16c, 2 * ady, _32), _32, _48$1), _48$1); + + const len2 = scale(bcttlen, bctt, adytail, _8$1); + finlen = finadd(finlen, sum_three( + scale(len2, _8$1, 2 * ady, _16$1), _16$1, + scale(len2, _8$1, 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$1), _16$1, + scale(len, _16c, 2 * bdx, _32), _32, _48$1), _48$1); + + const len2 = scale(cattlen, catt, bdxtail, _8$1); + finlen = finadd(finlen, sum_three( + scale(len2, _8$1, 2 * bdx, _16$1), _16$1, + scale(len2, _8$1, bdxtail, _16b), _16b, + scale(len, _16c, bdxtail, _32), _32, _32b, _64), _64); + + if (cdytail !== 0) { + finlen = finadd(finlen, scale(scale(4, aa, bdxtail, _8$1), _8$1, cdytail, _16$1), _16$1); + } + if (adytail !== 0) { + finlen = finadd(finlen, scale(scale(4, cc, -bdxtail, _8$1), _8$1, adytail, _16$1), _16$1); + } + } + if (bdytail !== 0) { + const len = scale(catlen, cat, bdytail, _16c); + finlen = finadd(finlen, sum( + scale(bytcalen, bytca, bdytail, _16$1), _16$1, + scale(len, _16c, 2 * bdy, _32), _32, _48$1), _48$1); + + const len2 = scale(cattlen, catt, bdytail, _8$1); + finlen = finadd(finlen, sum_three( + scale(len2, _8$1, 2 * bdy, _16$1), _16$1, + scale(len2, _8$1, 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$1), _16$1, + scale(len, _16c, 2 * cdx, _32), _32, _48$1), _48$1); + + const len2 = scale(abttlen, abtt, cdxtail, _8$1); + finlen = finadd(finlen, sum_three( + scale(len2, _8$1, 2 * cdx, _16$1), _16$1, + scale(len2, _8$1, cdxtail, _16b), _16b, + scale(len, _16c, cdxtail, _32), _32, _32b, _64), _64); + + if (adytail !== 0) { + finlen = finadd(finlen, scale(scale(4, bb, cdxtail, _8$1), _8$1, adytail, _16$1), _16$1); + } + if (bdytail !== 0) { + finlen = finadd(finlen, scale(scale(4, aa, -cdxtail, _8$1), _8$1, bdytail, _16$1), _16$1); + } + } + if (cdytail !== 0) { + const len = scale(abtlen, abt, cdytail, _16c); + finlen = finadd(finlen, sum( + scale(cytablen, cytab, cdytail, _16$1), _16$1, + scale(len, _16c, 2 * cdy, _32), _32, _48$1), _48$1); + + const len2 = scale(abttlen, abtt, cdytail, _8$1); + finlen = finadd(finlen, sum_three( + scale(len2, _8$1, 2 * cdy, _16$1), _16$1, + scale(len2, _8$1, cdytail, _16b), _16b, + scale(len, _16c, cdytail, _32), _32, _32b, _64), _64); + } + } + + return fin$1[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; +} + +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); +} + +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 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 * (dez * ab + aez * bd + bez * da) - dlift * (aez * bc - bez * ac + cez * ab)) + + (alift * (bez * cd - cez * bd + dez * bc) - blift * (cez * da + dez * ac + aez * cd)); + + 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) + Math.abs(bexaey); + const bexceyplus = Math.abs(bexcey) + Math.abs(cexbey); + const cexdeyplus = Math.abs(cexdey) + Math.abs(dexcey); + const dexaeyplus = Math.abs(dexaey) + Math.abs(aexdey); + const aexceyplus = Math.abs(aexcey) + Math.abs(cexaey); + const bexdeyplus = Math.abs(bexdey) + Math.abs(dexbey); + const permanent = + (cexdeyplus * bezplus + bexdeyplus * cezplus + bexceyplus * dezplus) * alift + + (dexaeyplus * cezplus + aexceyplus * dezplus + cexdeyplus * aezplus) * blift + + (aexbeyplus * dezplus + bexdeyplus * aezplus + dexaeyplus * bezplus) * clift + + (bexceyplus * aezplus + aexceyplus * bezplus + aexbeyplus * 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); +} + +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); +} + +exports.incircle = incircle; +exports.incirclefast = incirclefast; +exports.insphere = insphere; +exports.inspherefast = inspherefast; +exports.orient2d = orient2d; +exports.orient2dfast = orient2dfast; +exports.orient3d = orient3d; +exports.orient3dfast = orient3dfast; + +})); Index: node_modules/robust-predicates/umd/predicates.min.js =================================================================== --- node_modules/robust-predicates/umd/predicates.min.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) +++ node_modules/robust-predicates/umd/predicates.min.js (revision e4c61dd6cd86e06265bc2bd91adba84a0f04044a) @@ -0,0 +1,1 @@ +!function(t,n){"object"==typeof exports&&"undefined"!=typeof module?n(exports):"function"==typeof define&&define.amd?define(["exports"],n):n((t="undefined"!=typeof globalThis?globalThis:t||self).predicates={})}(this,(function(t){"use strict";const n=11102230246251565e-32,e=134217729,r=(3+8*n)*n;function s(t,n,e,r,s){let o,a,c,f,i=n[0],u=r[0],h=0,b=0;u>i==u>-i?(o=i,i=n[++h]):(o=u,u=r[++b]);let M=0;if(hi==u>-i?(a=i+o,c=o-(a-i),i=n[++h]):(a=u+o,c=o-(a-u),u=r[++b]),o=a,0!==c&&(s[M++]=c);hi==u>-i?(a=o+i,f=a-o,c=o-(a-f)+(i-f),i=n[++h]):(a=o+u,f=a-o,c=o-(a-f)+(u-f),u=r[++b]),o=a,0!==c&&(s[M++]=c);for(;h=bt||-ht>=bt)return ht;if(N=t-_,v=t-(_+N)+(N-x),N=n-rt,D=n-(rt+N)+(N-g),N=a-ct,I=a-(ct+N)+(N-m),N=i-tt,z=i-(tt+N)+(N-x),N=u-st,E=u-(st+N)+(N-g),N=h-ft,J=h-(ft+N)+(N-m),N=b-nt,B=b-(nt+N)+(N-x),N=M-ot,G=M-(ot+N)+(N-g),N=l-it,K=l-(it+N)+(N-m),N=d-et,C=d-(et+N)+(N-x),N=p-at,H=p-(at+N)+(N-g),N=y-ut,L=y-(ut+N)+(N-m),0===v&&0===D&&0===I&&0===z&&0===E&&0===J&&0===B&&0===G&&0===K&&0===C&&0===H&&0===L)return ht;bt=Tt*T+r*Math.abs(ht);const Mt=_*E+st*v-(rt*z+tt*D),lt=tt*G+ot*z-(st*B+nt*E),dt=nt*H+at*B-(ot*C+et*G),pt=et*D+rt*C-(at*v+_*H),yt=_*G+ot*v-(rt*B+nt*D),xt=tt*H+at*z-(st*C+et*E);return ht+=(tt*tt+st*st+ft*ft)*(it*pt+ut*yt+ct*dt+(K*F+L*k+I*A))+(et*et+at*at+ut*ut)*(ct*lt-ft*yt+it*Mt+(I*w-J*k+K*j))-((_*_+rt*rt+ct*ct)*(ft*dt-it*xt+ut*lt+(J*A-K*q+L*w))+(nt*nt+ot*ot+it*it)*(ut*Mt+ct*xt+ft*pt+(L*j+I*q+J*F)))+2*((tt*z+st*E+ft*J)*(it*F+ut*k+ct*A)+(et*C+at*H+ut*L)*(ct*w-ft*k+it*j)-((_*v+rt*D+ct*I)*(ft*A-it*q+ut*w)+(nt*B+ot*G+it*K)*(ut*j+ct*q+ft*F))),ht>=bt||-ht>=bt?ht:function(t,n,r,s,a,c,f,i,u,h,b,M,l,d,p){let y,x,g,m,T,j,w,A,F,k,q,v,z,B;k=t*a,x=e*t,g=x-(x-t),m=t-g,x=e*a,T=x-(x-a),j=a-T,q=m*j-(k-g*T-m*T-g*j),v=s*n,x=e*s,g=x-(x-s),m=s-g,x=e*n,T=x-(x-n),j=n-T,z=m*j-(v-g*T-m*T-g*j),w=q-z,y=q-w,jt[0]=q-(w+y)+(y-z),A=k+w,y=A-k,F=k-(A-y)+(w-y),w=F-v,y=F-w,jt[1]=F-(w+y)+(y-v),B=A+w,y=B-A,jt[2]=A-(B-y)+(w-y),jt[3]=B,k=s*i,x=e*s,g=x-(x-s),m=s-g,x=e*i,T=x-(x-i),j=i-T,q=m*j-(k-g*T-m*T-g*j),v=f*a,x=e*f,g=x-(x-f),m=f-g,x=e*a,T=x-(x-a),j=a-T,z=m*j-(v-g*T-m*T-g*j),w=q-z,y=q-w,wt[0]=q-(w+y)+(y-z),A=k+w,y=A-k,F=k-(A-y)+(w-y),w=F-v,y=F-w,wt[1]=F-(w+y)+(y-v),B=A+w,y=B-A,wt[2]=A-(B-y)+(w-y),wt[3]=B,k=f*b,x=e*f,g=x-(x-f),m=f-g,x=e*b,T=x-(x-b),j=b-T,q=m*j-(k-g*T-m*T-g*j),v=h*i,x=e*h,g=x-(x-h),m=h-g,x=e*i,T=x-(x-i),j=i-T,z=m*j-(v-g*T-m*T-g*j),w=q-z,y=q-w,At[0]=q-(w+y)+(y-z),A=k+w,y=A-k,F=k-(A-y)+(w-y),w=F-v,y=F-w,At[1]=F-(w+y)+(y-v),B=A+w,y=B-A,At[2]=A-(B-y)+(w-y),At[3]=B,k=h*d,x=e*h,g=x-(x-h),m=h-g,x=e*d,T=x-(x-d),j=d-T,q=m*j-(k-g*T-m*T-g*j),v=l*b,x=e*l,g=x-(x-l),m=l-g,x=e*b,T=x-(x-b),j=b-T,z=m*j-(v-g*T-m*T-g*j),w=q-z,y=q-w,Ft[0]=q-(w+y)+(y-z),A=k+w,y=A-k,F=k-(A-y)+(w-y),w=F-v,y=F-w,Ft[1]=F-(w+y)+(y-v),B=A+w,y=B-A,Ft[2]=A-(B-y)+(w-y),Ft[3]=B,k=l*n,x=e*l,g=x-(x-l),m=l-g,x=e*n,T=x-(x-n),j=n-T,q=m*j-(k-g*T-m*T-g*j),v=t*d,x=e*t,g=x-(x-t),m=t-g,x=e*d,T=x-(x-d),j=d-T,z=m*j-(v-g*T-m*T-g*j),w=q-z,y=q-w,kt[0]=q-(w+y)+(y-z),A=k+w,y=A-k,F=k-(A-y)+(w-y),w=F-v,y=F-w,kt[1]=F-(w+y)+(y-v),B=A+w,y=B-A,kt[2]=A-(B-y)+(w-y),kt[3]=B,k=t*i,x=e*t,g=x-(x-t),m=t-g,x=e*i,T=x-(x-i),j=i-T,q=m*j-(k-g*T-m*T-g*j),v=f*n,x=e*f,g=x-(x-f),m=f-g,x=e*n,T=x-(x-n),j=n-T,z=m*j-(v-g*T-m*T-g*j),w=q-z,y=q-w,qt[0]=q-(w+y)+(y-z),A=k+w,y=A-k,F=k-(A-y)+(w-y),w=F-v,y=F-w,qt[1]=F-(w+y)+(y-v),B=A+w,y=B-A,qt[2]=A-(B-y)+(w-y),qt[3]=B,k=s*b,x=e*s,g=x-(x-s),m=s-g,x=e*b,T=x-(x-b),j=b-T,q=m*j-(k-g*T-m*T-g*j),v=h*a,x=e*h,g=x-(x-h),m=h-g,x=e*a,T=x-(x-a),j=a-T,z=m*j-(v-g*T-m*T-g*j),w=q-z,y=q-w,vt[0]=q-(w+y)+(y-z),A=k+w,y=A-k,F=k-(A-y)+(w-y),w=F-v,y=F-w,vt[1]=F-(w+y)+(y-v),B=A+w,y=B-A,vt[2]=A-(B-y)+(w-y),vt[3]=B,k=f*d,x=e*f,g=x-(x-f),m=f-g,x=e*d,T=x-(x-d),j=d-T,q=m*j-(k-g*T-m*T-g*j),v=l*i,x=e*l,g=x-(x-l),m=l-g,x=e*i,T=x-(x-i),j=i-T,z=m*j-(v-g*T-m*T-g*j),w=q-z,y=q-w,zt[0]=q-(w+y)+(y-z),A=k+w,y=A-k,F=k-(A-y)+(w-y),w=F-v,y=F-w,zt[1]=F-(w+y)+(y-v),B=A+w,y=B-A,zt[2]=A-(B-y)+(w-y),zt[3]=B,k=h*n,x=e*h,g=x-(x-h),m=h-g,x=e*n,T=x-(x-n),j=n-T,q=m*j-(k-g*T-m*T-g*j),v=t*b,x=e*t,g=x-(x-t),m=t-g,x=e*b,T=x-(x-b),j=b-T,z=m*j-(v-g*T-m*T-g*j),w=q-z,y=q-w,Bt[0]=q-(w+y)+(y-z),A=k+w,y=A-k,F=k-(A-y)+(w-y),w=F-v,y=F-w,Bt[1]=F-(w+y)+(y-v),B=A+w,y=B-A,Bt[2]=A-(B-y)+(w-y),Bt[3]=B,k=l*a,x=e*l,g=x-(x-l),m=l-g,x=e*a,T=x-(x-a),j=a-T,q=m*j-(k-g*T-m*T-g*j),v=s*d,x=e*s,g=x-(x-s),m=s-g,x=e*d,T=x-(x-d),j=d-T,z=m*j-(v-g*T-m*T-g*j),w=q-z,y=q-w,Ct[0]=q-(w+y)+(y-z),A=k+w,y=A-k,F=k-(A-y)+(w-y),w=F-v,y=F-w,Ct[1]=F-(w+y)+(y-v),B=A+w,y=B-A,Ct[2]=A-(B-y)+(w-y),Ct[3]=B;const C=hn(jt,wt,qt,u,r,-c,Dt),D=hn(wt,At,vt,M,c,-u,Et),E=hn(At,Ft,zt,p,u,-M,Gt),G=hn(Ft,kt,Bt,r,M,-p,Ht),H=hn(kt,jt,Ct,c,p,-r,It),I=hn(jt,vt,Bt,M,r,c,Jt),J=hn(wt,zt,Ct,p,c,u,Kt),K=hn(At,Bt,qt,r,u,M,Lt),L=hn(Ft,Ct,vt,c,M,p,Nt),N=hn(kt,qt,zt,u,p,r,Ot),O=o(bn(E,Gt,J,Kt,L,Nt,D,Et,t,n,r,Pt),Pt,bn(G,Ht,K,Lt,N,Ot,E,Gt,s,a,c,Qt),Qt,o(bn(H,It,L,Nt,I,Jt,G,Ht,f,i,u,Rt),Rt,bn(C,Dt,N,Ot,J,Kt,H,It,h,b,M,St),St,bn(D,Et,I,Jt,K,Lt,C,Dt,l,d,p,Ut),Ut,Wt,Xt),Xt,Vt,Yt);return Yt[O-1]}(t,n,a,i,u,h,b,M,l,d,p,y,x,g,m)}t.incircle=function(t,n,c,i,u,h,b,M){const l=t-b,d=c-b,p=u-b,y=n-M,x=i-M,g=h-M,m=d*g,T=p*x,j=l*l+y*y,w=p*y,A=l*g,F=d*d+x*x,k=l*x,q=d*y,v=p*p+g*g,z=j*(m-T)+F*(w-A)+v*(k-q),B=(Math.abs(m)+Math.abs(T))*j+(Math.abs(w)+Math.abs(A))*F+(Math.abs(k)+Math.abs(q))*v,C=11102230246251577e-31*B;return z>C||-z>C?z:function(t,n,c,i,u,h,b,M,l){let d,p,y,x,g,m,T,j,w,A,F,k,q,v,z,B,C,D,E,G,H,I,J,K,L,N,xt,mt,Tt,jt,wt,At,Ft,kt,qt;const vt=t-b,zt=c-b,Bt=u-b,Ct=n-M,Dt=i-M,Et=h-M;wt=zt*Et,J=e*zt,K=J-(J-zt),L=zt-K,J=e*Et,N=J-(J-Et),xt=Et-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=Bt*Dt,J=e*Bt,K=J-(J-Bt),L=Bt-K,J=e*Dt,N=J-(J-Dt),xt=Dt-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At-kt,I=At-mt,Q[0]=At-(mt+I)+(I-kt),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt-Ft,I=jt-mt,Q[1]=jt-(mt+I)+(I-Ft),qt=Tt+mt,I=qt-Tt,Q[2]=Tt-(qt-I)+(mt-I),Q[3]=qt,wt=Bt*Ct,J=e*Bt,K=J-(J-Bt),L=Bt-K,J=e*Ct,N=J-(J-Ct),xt=Ct-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=vt*Et,J=e*vt,K=J-(J-vt),L=vt-K,J=e*Et,N=J-(J-Et),xt=Et-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At-kt,I=At-mt,R[0]=At-(mt+I)+(I-kt),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt-Ft,I=jt-mt,R[1]=jt-(mt+I)+(I-Ft),qt=Tt+mt,I=qt-Tt,R[2]=Tt-(qt-I)+(mt-I),R[3]=qt,wt=vt*Dt,J=e*vt,K=J-(J-vt),L=vt-K,J=e*Dt,N=J-(J-Dt),xt=Dt-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=zt*Ct,J=e*zt,K=J-(J-zt),L=zt-K,J=e*Ct,N=J-(J-Ct),xt=Ct-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At-kt,I=At-mt,S[0]=At-(mt+I)+(I-kt),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt-Ft,I=jt-mt,S[1]=jt-(mt+I)+(I-Ft),qt=Tt+mt,I=qt-Tt,S[2]=Tt-(qt-I)+(mt-I),S[3]=qt,d=s(s(s(a(a(4,Q,vt,it),it,vt,ut),ut,a(a(4,Q,Ct,it),it,Ct,ht),ht,Mt),Mt,s(a(a(4,R,zt,it),it,zt,ut),ut,a(a(4,R,Dt,it),it,Dt,ht),ht,lt),lt,pt),pt,s(a(a(4,S,Bt,it),it,Bt,ut),ut,a(a(4,S,Et,it),it,Et,ht),ht,Mt),Mt,yt);let Gt=f(d,yt),Ht=O*l;if(Gt>=Ht||-Gt>=Ht)return Gt;if(I=t-vt,p=t-(vt+I)+(I-b),I=n-Ct,g=n-(Ct+I)+(I-M),I=c-zt,y=c-(zt+I)+(I-b),I=i-Dt,m=i-(Dt+I)+(I-M),I=u-Bt,x=u-(Bt+I)+(I-b),I=h-Et,T=h-(Et+I)+(I-M),0===p&&0===y&&0===x&&0===g&&0===m&&0===T)return Gt;if(Ht=P*l+r*Math.abs(Gt),Gt+=(vt*vt+Ct*Ct)*(zt*T+Et*y-(Dt*x+Bt*m))+2*(vt*p+Ct*g)*(zt*Et-Dt*Bt)+((zt*zt+Dt*Dt)*(Bt*g+Ct*x-(Et*p+vt*T))+2*(zt*y+Dt*m)*(Bt*Ct-Et*vt))+((Bt*Bt+Et*Et)*(vt*m+Dt*p-(Ct*y+zt*g))+2*(Bt*x+Et*T)*(vt*Dt-Ct*zt)),Gt>=Ht||-Gt>=Ht)return Gt;if(0===y&&0===m&&0===x&&0===T||(wt=vt*vt,J=e*vt,K=J-(J-vt),L=vt-K,At=L*L-(wt-K*K-(K+K)*L),Ft=Ct*Ct,J=e*Ct,K=J-(J-Ct),L=Ct-K,kt=L*L-(Ft-K*K-(K+K)*L),mt=At+kt,I=mt-At,U[0]=At-(mt-I)+(kt-I),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt+Ft,I=mt-jt,U[1]=jt-(mt-I)+(Ft-I),qt=Tt+mt,I=qt-Tt,U[2]=Tt-(qt-I)+(mt-I),U[3]=qt),0===x&&0===T&&0===p&&0===g||(wt=zt*zt,J=e*zt,K=J-(J-zt),L=zt-K,At=L*L-(wt-K*K-(K+K)*L),Ft=Dt*Dt,J=e*Dt,K=J-(J-Dt),L=Dt-K,kt=L*L-(Ft-K*K-(K+K)*L),mt=At+kt,I=mt-At,V[0]=At-(mt-I)+(kt-I),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt+Ft,I=mt-jt,V[1]=jt-(mt-I)+(Ft-I),qt=Tt+mt,I=qt-Tt,V[2]=Tt-(qt-I)+(mt-I),V[3]=qt),0===p&&0===g&&0===y&&0===m||(wt=Bt*Bt,J=e*Bt,K=J-(J-Bt),L=Bt-K,At=L*L-(wt-K*K-(K+K)*L),Ft=Et*Et,J=e*Et,K=J-(J-Et),L=Et-K,kt=L*L-(Ft-K*K-(K+K)*L),mt=At+kt,I=mt-At,W[0]=At-(mt-I)+(kt-I),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt+Ft,I=mt-jt,W[1]=jt-(mt-I)+(Ft-I),qt=Tt+mt,I=qt-Tt,W[2]=Tt-(qt-I)+(mt-I),W[3]=qt),0!==p&&(j=a(4,Q,p,Z),d=gt(d,o(a(j,Z,2*vt,ut),ut,a(a(4,W,p,it),it,Dt,ht),ht,a(a(4,V,p,it),it,-Et,bt),bt,Mt,dt),dt)),0!==g&&(w=a(4,Q,g,$),d=gt(d,o(a(w,$,2*Ct,ut),ut,a(a(4,V,g,it),it,Bt,ht),ht,a(a(4,W,g,it),it,-zt,bt),bt,Mt,dt),dt)),0!==y&&(A=a(4,R,y,_),d=gt(d,o(a(A,_,2*zt,ut),ut,a(a(4,U,y,it),it,Et,ht),ht,a(a(4,W,y,it),it,-Ct,bt),bt,Mt,dt),dt)),0!==m&&(F=a(4,R,m,tt),d=gt(d,o(a(F,tt,2*Dt,ut),ut,a(a(4,W,m,it),it,vt,ht),ht,a(a(4,U,m,it),it,-Bt,bt),bt,Mt,dt),dt)),0!==x&&(k=a(4,S,x,nt),d=gt(d,o(a(k,nt,2*Bt,ut),ut,a(a(4,V,x,it),it,Ct,ht),ht,a(a(4,U,x,it),it,-Dt,bt),bt,Mt,dt),dt)),0!==T&&(q=a(4,S,T,et),d=gt(d,o(a(q,et,2*Et,ut),ut,a(a(4,U,T,it),it,zt,ht),ht,a(a(4,V,T,it),it,-vt,bt),bt,Mt,dt),dt)),0!==p||0!==g){if(0!==y||0!==m||0!==x||0!==T?(wt=y*Et,J=e*y,K=J-(J-y),L=y-K,J=e*Et,N=J-(J-Et),xt=Et-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=zt*T,J=e*zt,K=J-(J-zt),L=zt-K,J=e*T,N=J-(J-T),xt=T-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At+kt,I=mt-At,X[0]=At-(mt-I)+(kt-I),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt+Ft,I=mt-jt,X[1]=jt-(mt-I)+(Ft-I),qt=Tt+mt,I=qt-Tt,X[2]=Tt-(qt-I)+(mt-I),X[3]=qt,wt=x*-Dt,J=e*x,K=J-(J-x),L=x-K,J=e*-Dt,N=J-(J- -Dt),xt=-Dt-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=Bt*-m,J=e*Bt,K=J-(J-Bt),L=Bt-K,J=e*-m,N=J-(J- -m),xt=-m-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At+kt,I=mt-At,Y[0]=At-(mt-I)+(kt-I),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt+Ft,I=mt-jt,Y[1]=jt-(mt-I)+(Ft-I),qt=Tt+mt,I=qt-Tt,Y[2]=Tt-(qt-I)+(mt-I),Y[3]=qt,z=s(4,X,4,Y,st),wt=y*T,J=e*y,K=J-(J-y),L=y-K,J=e*T,N=J-(J-T),xt=T-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=x*m,J=e*x,K=J-(J-x),L=x-K,J=e*m,N=J-(J-m),xt=m-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At-kt,I=At-mt,ct[0]=At-(mt+I)+(I-kt),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt-Ft,I=jt-mt,ct[1]=jt-(mt+I)+(I-Ft),qt=Tt+mt,I=qt-Tt,ct[2]=Tt-(qt-I)+(mt-I),ct[3]=qt,D=4):(st[0]=0,z=1,ct[0]=0,D=1),0!==p){const t=a(z,st,p,bt);d=gt(d,s(a(j,Z,p,ut),ut,a(t,bt,2*vt,Mt),Mt,dt),dt);const n=a(D,ct,p,it);d=gt(d,o(a(n,it,2*vt,ut),ut,a(n,it,p,ht),ht,a(t,bt,p,Mt),Mt,lt,pt),pt),0!==m&&(d=gt(d,a(a(4,W,p,it),it,m,ut),ut)),0!==T&&(d=gt(d,a(a(4,V,-p,it),it,T,ut),ut))}if(0!==g){const t=a(z,st,g,bt);d=gt(d,s(a(w,$,g,ut),ut,a(t,bt,2*Ct,Mt),Mt,dt),dt);const n=a(D,ct,g,it);d=gt(d,o(a(n,it,2*Ct,ut),ut,a(n,it,g,ht),ht,a(t,bt,g,Mt),Mt,lt,pt),pt)}}if(0!==y||0!==m){if(0!==x||0!==T||0!==p||0!==g?(wt=x*Ct,J=e*x,K=J-(J-x),L=x-K,J=e*Ct,N=J-(J-Ct),xt=Ct-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=Bt*g,J=e*Bt,K=J-(J-Bt),L=Bt-K,J=e*g,N=J-(J-g),xt=g-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At+kt,I=mt-At,X[0]=At-(mt-I)+(kt-I),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt+Ft,I=mt-jt,X[1]=jt-(mt-I)+(Ft-I),qt=Tt+mt,I=qt-Tt,X[2]=Tt-(qt-I)+(mt-I),X[3]=qt,G=-Et,H=-T,wt=p*G,J=e*p,K=J-(J-p),L=p-K,J=e*G,N=J-(J-G),xt=G-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=vt*H,J=e*vt,K=J-(J-vt),L=vt-K,J=e*H,N=J-(J-H),xt=H-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At+kt,I=mt-At,Y[0]=At-(mt-I)+(kt-I),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt+Ft,I=mt-jt,Y[1]=jt-(mt-I)+(Ft-I),qt=Tt+mt,I=qt-Tt,Y[2]=Tt-(qt-I)+(mt-I),Y[3]=qt,B=s(4,X,4,Y,ot),wt=x*g,J=e*x,K=J-(J-x),L=x-K,J=e*g,N=J-(J-g),xt=g-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=p*T,J=e*p,K=J-(J-p),L=p-K,J=e*T,N=J-(J-T),xt=T-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At-kt,I=At-mt,ft[0]=At-(mt+I)+(I-kt),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt-Ft,I=jt-mt,ft[1]=jt-(mt+I)+(I-Ft),qt=Tt+mt,I=qt-Tt,ft[2]=Tt-(qt-I)+(mt-I),ft[3]=qt,E=4):(ot[0]=0,B=1,ft[0]=0,E=1),0!==y){const t=a(B,ot,y,bt);d=gt(d,s(a(A,_,y,ut),ut,a(t,bt,2*zt,Mt),Mt,dt),dt);const n=a(E,ft,y,it);d=gt(d,o(a(n,it,2*zt,ut),ut,a(n,it,y,ht),ht,a(t,bt,y,Mt),Mt,lt,pt),pt),0!==T&&(d=gt(d,a(a(4,U,y,it),it,T,ut),ut)),0!==g&&(d=gt(d,a(a(4,W,-y,it),it,g,ut),ut))}if(0!==m){const t=a(B,ot,m,bt);d=gt(d,s(a(F,tt,m,ut),ut,a(t,bt,2*Dt,Mt),Mt,dt),dt);const n=a(E,ft,m,it);d=gt(d,o(a(n,it,2*Dt,ut),ut,a(n,it,m,ht),ht,a(t,bt,m,Mt),Mt,lt,pt),pt)}}if(0!==x||0!==T){if(0!==p||0!==g||0!==y||0!==m?(wt=p*Dt,J=e*p,K=J-(J-p),L=p-K,J=e*Dt,N=J-(J-Dt),xt=Dt-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=vt*m,J=e*vt,K=J-(J-vt),L=vt-K,J=e*m,N=J-(J-m),xt=m-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At+kt,I=mt-At,X[0]=At-(mt-I)+(kt-I),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt+Ft,I=mt-jt,X[1]=jt-(mt-I)+(Ft-I),qt=Tt+mt,I=qt-Tt,X[2]=Tt-(qt-I)+(mt-I),X[3]=qt,G=-Ct,H=-g,wt=y*G,J=e*y,K=J-(J-y),L=y-K,J=e*G,N=J-(J-G),xt=G-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=zt*H,J=e*zt,K=J-(J-zt),L=zt-K,J=e*H,N=J-(J-H),xt=H-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At+kt,I=mt-At,Y[0]=At-(mt-I)+(kt-I),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt+Ft,I=mt-jt,Y[1]=jt-(mt-I)+(Ft-I),qt=Tt+mt,I=qt-Tt,Y[2]=Tt-(qt-I)+(mt-I),Y[3]=qt,v=s(4,X,4,Y,rt),wt=p*m,J=e*p,K=J-(J-p),L=p-K,J=e*m,N=J-(J-m),xt=m-N,At=L*xt-(wt-K*N-L*N-K*xt),Ft=y*g,J=e*y,K=J-(J-y),L=y-K,J=e*g,N=J-(J-g),xt=g-N,kt=L*xt-(Ft-K*N-L*N-K*xt),mt=At-kt,I=At-mt,at[0]=At-(mt+I)+(I-kt),Tt=wt+mt,I=Tt-wt,jt=wt-(Tt-I)+(mt-I),mt=jt-Ft,I=jt-mt,at[1]=jt-(mt+I)+(I-Ft),qt=Tt+mt,I=qt-Tt,at[2]=Tt-(qt-I)+(mt-I),at[3]=qt,C=4):(rt[0]=0,v=1,at[0]=0,C=1),0!==x){const t=a(v,rt,x,bt);d=gt(d,s(a(k,nt,x,ut),ut,a(t,bt,2*Bt,Mt),Mt,dt),dt);const n=a(C,at,x,it);d=gt(d,o(a(n,it,2*Bt,ut),ut,a(n,it,x,ht),ht,a(t,bt,x,Mt),Mt,lt,pt),pt),0!==g&&(d=gt(d,a(a(4,V,x,it),it,g,ut),ut)),0!==m&&(d=gt(d,a(a(4,U,-x,it),it,m,ut),ut))}if(0!==T){const t=a(v,rt,T,bt);d=gt(d,s(a(q,et,T,ut),ut,a(t,bt,2*Et,Mt),Mt,dt),dt);const n=a(C,at,T,it);d=gt(d,o(a(n,it,2*Et,ut),ut,a(n,it,T,ht),ht,a(t,bt,T,Mt),Mt,lt,pt),pt)}}return yt[d-1]}(t,n,c,i,u,h,b,M,B)},t.incirclefast=function(t,n,e,r,s,o,a,c){const f=t-a,i=n-c,u=e-a,h=r-c,b=s-a,M=o-c;return(f*f+i*i)*(u*M-b*h)+(u*u+h*h)*(b*i-f*M)+(b*b+M*M)*(f*h-u*i)},t.insphere=function(t,n,e,r,s,o,a,c,f,i,u,h,b,M,l){const d=t-b,p=r-b,y=a-b,x=i-b,g=n-M,m=s-M,T=c-M,j=u-M,w=e-l,A=o-l,F=f-l,k=h-l,q=d*m,v=p*g,z=q-v,B=p*T,C=y*m,D=B-C,E=y*j,G=x*T,H=E-G,I=x*g,J=d*j,K=I-J,L=d*T,N=y*g,O=L-N,P=p*j,Q=x*m,R=P-Q,S=d*d+g*g+w*w,U=p*p+m*m+A*A,V=y*y+T*T+F*F,W=x*x+j*j+k*k,X=V*(k*z+w*R+A*K)-W*(w*D-A*O+F*z)+(S*(A*H-F*R+k*D)-U*(F*K+k*O+w*H)),Y=Math.abs(w),Z=Math.abs(A),$=Math.abs(F),_=Math.abs(k),tt=Math.abs(q)+Math.abs(v),nt=Math.abs(B)+Math.abs(C),et=Math.abs(E)+Math.abs(G),rt=Math.abs(I)+Math.abs(J),st=Math.abs(L)+Math.abs(N),ot=Math.abs(P)+Math.abs(Q),at=(et*Z+ot*$+nt*_)*S+(rt*$+st*_+et*Y)*U+(tt*_+ot*Y+rt*Z)*V+(nt*Y+st*Z+tt*$)*W,ct=17763568394002532e-31*at;return X>ct||-X>ct?X:-xn(t,n,e,r,s,o,a,c,f,i,u,h,b,M,l,at)},t.inspherefast=function(t,n,e,r,s,o,a,c,f,i,u,h,b,M,l){const d=t-b,p=r-b,y=a-b,x=i-b,g=n-M,m=s-M,T=c-M,j=u-M,w=e-l,A=o-l,F=f-l,k=h-l,q=d*m-p*g,v=p*T-y*m,z=y*j-x*T,B=x*g-d*j,C=d*T-y*g,D=p*j-x*m;return(y*y+T*T+F*F)*(k*q+w*D+A*B)-(x*x+j*j+k*k)*(w*v-A*C+F*q)+((d*d+g*g+w*w)*(A*z-F*D+k*v)-(p*p+m*m+A*A)*(F*B+k*C+w*z))},t.orient2d=function(t,n,o,a,c,i){const y=(n-i)*(o-c),x=(t-c)*(a-i),g=y-x,m=Math.abs(y+x);return Math.abs(g)>=33306690738754716e-32*m?g:-function(t,n,o,a,c,i,y){let x,g,m,T,j,w,A,F,k,q,v,z,B,C,D,E,G,H;const I=t-c,J=o-c,K=n-i,L=a-i;C=I*L,w=e*I,A=w-(w-I),F=I-A,w=e*L,k=w-(w-L),q=L-k,D=F*q-(C-A*k-F*k-A*q),E=K*J,w=e*K,A=w-(w-K),F=K-A,w=e*J,k=w-(w-J),q=J-k,G=F*q-(E-A*k-F*k-A*q),v=D-G,j=D-v,b[0]=D-(v+j)+(j-G),z=C+v,j=z-C,B=C-(z-j)+(v-j),v=B-E,j=B-v,b[1]=B-(v+j)+(j-E),H=z+v,j=H-z,b[2]=z-(H-j)+(v-j),b[3]=H;let N=f(4,b),O=u*y;if(N>=O||-N>=O)return N;if(j=t-I,x=t-(I+j)+(j-c),j=o-J,m=o-(J+j)+(j-c),j=n-K,g=n-(K+j)+(j-i),j=a-L,T=a-(L+j)+(j-i),0===x&&0===g&&0===m&&0===T)return N;if(O=h*y+r*Math.abs(N),N+=I*T+L*x-(K*m+J*g),N>=O||-N>=O)return N;C=x*L,w=e*x,A=w-(w-x),F=x-A,w=e*L,k=w-(w-L),q=L-k,D=F*q-(C-A*k-F*k-A*q),E=g*J,w=e*g,A=w-(w-g),F=g-A,w=e*J,k=w-(w-J),q=J-k,G=F*q-(E-A*k-F*k-A*q),v=D-G,j=D-v,p[0]=D-(v+j)+(j-G),z=C+v,j=z-C,B=C-(z-j)+(v-j),v=B-E,j=B-v,p[1]=B-(v+j)+(j-E),H=z+v,j=H-z,p[2]=z-(H-j)+(v-j),p[3]=H;const P=s(4,b,4,p,M);C=I*T,w=e*I,A=w-(w-I),F=I-A,w=e*T,k=w-(w-T),q=T-k,D=F*q-(C-A*k-F*k-A*q),E=K*m,w=e*K,A=w-(w-K),F=K-A,w=e*m,k=w-(w-m),q=m-k,G=F*q-(E-A*k-F*k-A*q),v=D-G,j=D-v,p[0]=D-(v+j)+(j-G),z=C+v,j=z-C,B=C-(z-j)+(v-j),v=B-E,j=B-v,p[1]=B-(v+j)+(j-E),H=z+v,j=H-z,p[2]=z-(H-j)+(v-j),p[3]=H;const Q=s(P,M,4,p,l);C=x*T,w=e*x,A=w-(w-x),F=x-A,w=e*T,k=w-(w-T),q=T-k,D=F*q-(C-A*k-F*k-A*q),E=g*m,w=e*g,A=w-(w-g),F=g-A,w=e*m,k=w-(w-m),q=m-k,G=F*q-(E-A*k-F*k-A*q),v=D-G,j=D-v,p[0]=D-(v+j)+(j-G),z=C+v,j=z-C,B=C-(z-j)+(v-j),v=B-E,j=B-v,p[1]=B-(v+j)+(j-E),H=z+v,j=H-z,p[2]=z-(H-j)+(v-j),p[3]=H;const R=s(Q,l,4,p,d);return d[R-1]}(t,n,o,a,c,i,m)},t.orient2dfast=function(t,n,e,r,s,o){return(n-o)*(e-s)-(t-s)*(r-o)},t.orient3d=function(t,n,o,c,i,u,h,b,M,l,d,p){const C=t-l,J=c-l,O=h-l,P=n-d,Q=i-d,R=b-d,S=o-p,U=u-p,V=M-p,W=J*R,X=O*Q,Y=O*P,Z=C*R,$=C*Q,_=J*P,tt=S*(W-X)+U*(Y-Z)+V*($-_),nt=(Math.abs(W)+Math.abs(X))*Math.abs(S)+(Math.abs(Y)+Math.abs(Z))*Math.abs(U)+(Math.abs($)+Math.abs(_))*Math.abs(V),et=7771561172376103e-31*nt;return tt>et||-tt>et?tt:function(t,n,o,c,i,u,h,b,M,l,d,p,C){let J,O,P,Q,R,S,U,V,W,X,Y,Z,$,_,tt,nt,et,rt,st,ot,at,ct,ft,it;const ut=t-l,ht=c-l,bt=h-l,Mt=n-d,lt=i-d,dt=b-d,pt=o-p,yt=u-p,xt=M-p;ot=ht*dt,Z=e*ht,$=Z-(Z-ht),_=ht-$,Z=e*dt,tt=Z-(Z-dt),nt=dt-tt,at=_*nt-(ot-$*tt-_*tt-$*nt),ct=bt*lt,Z=e*bt,$=Z-(Z-bt),_=bt-$,Z=e*lt,tt=Z-(Z-lt),nt=lt-tt,ft=_*nt-(ct-$*tt-_*tt-$*nt),et=at-ft,Y=at-et,g[0]=at-(et+Y)+(Y-ft),rt=ot+et,Y=rt-ot,st=ot-(rt-Y)+(et-Y),et=st-ct,Y=st-et,g[1]=st-(et+Y)+(Y-ct),it=rt+et,Y=it-rt,g[2]=rt-(it-Y)+(et-Y),g[3]=it,ot=bt*Mt,Z=e*bt,$=Z-(Z-bt),_=bt-$,Z=e*Mt,tt=Z-(Z-Mt),nt=Mt-tt,at=_*nt-(ot-$*tt-_*tt-$*nt),ct=ut*dt,Z=e*ut,$=Z-(Z-ut),_=ut-$,Z=e*dt,tt=Z-(Z-dt),nt=dt-tt,ft=_*nt-(ct-$*tt-_*tt-$*nt),et=at-ft,Y=at-et,m[0]=at-(et+Y)+(Y-ft),rt=ot+et,Y=rt-ot,st=ot-(rt-Y)+(et-Y),et=st-ct,Y=st-et,m[1]=st-(et+Y)+(Y-ct),it=rt+et,Y=it-rt,m[2]=rt-(it-Y)+(et-Y),m[3]=it,ot=ut*lt,Z=e*ut,$=Z-(Z-ut),_=ut-$,Z=e*lt,tt=Z-(Z-lt),nt=lt-tt,at=_*nt-(ot-$*tt-_*tt-$*nt),ct=ht*Mt,Z=e*ht,$=Z-(Z-ht),_=ht-$,Z=e*Mt,tt=Z-(Z-Mt),nt=Mt-tt,ft=_*nt-(ct-$*tt-_*tt-$*nt),et=at-ft,Y=at-et,T[0]=at-(et+Y)+(Y-ft),rt=ot+et,Y=rt-ot,st=ot-(rt-Y)+(et-Y),et=st-ct,Y=st-et,T[1]=st-(et+Y)+(Y-ct),it=rt+et,Y=it-rt,T[2]=rt-(it-Y)+(et-Y),T[3]=it,J=s(s(a(4,g,pt,D),D,a(4,m,yt,E),E,G),G,a(4,T,xt,D),D,I);let gt=f(J,I),mt=y*C;if(gt>=mt||-gt>=mt)return gt;if(Y=t-ut,O=t-(ut+Y)+(Y-l),Y=c-ht,P=c-(ht+Y)+(Y-l),Y=h-bt,Q=h-(bt+Y)+(Y-l),Y=n-Mt,R=n-(Mt+Y)+(Y-d),Y=i-lt,S=i-(lt+Y)+(Y-d),Y=b-dt,U=b-(dt+Y)+(Y-d),Y=o-pt,V=o-(pt+Y)+(Y-p),Y=u-yt,W=u-(yt+Y)+(Y-p),Y=M-xt,X=M-(xt+Y)+(Y-p),0===O&&0===P&&0===Q&&0===R&&0===S&&0===U&&0===V&&0===W&&0===X)return gt;if(mt=x*C+r*Math.abs(gt),gt+=pt*(ht*U+dt*P-(lt*Q+bt*S))+V*(ht*dt-lt*bt)+yt*(bt*R+Mt*Q-(dt*O+ut*U))+W*(bt*Mt-dt*ut)+xt*(ut*S+lt*O-(Mt*P+ht*R))+X*(ut*lt-Mt*ht),gt>=mt||-gt>=mt)return gt;const Tt=L(O,R,ht,lt,bt,dt,j,w),jt=L(P,S,bt,dt,ut,Mt,A,F),wt=L(Q,U,ut,Mt,ht,lt,k,q),At=s(jt,A,wt,q,v);J=K(J,a(At,v,pt,G),G);const Ft=s(wt,k,Tt,w,z);J=K(J,a(Ft,z,yt,G),G);const kt=s(Tt,j,jt,F,B);return J=K(J,a(kt,B,xt,G),G),0!==V&&(J=K(J,a(4,g,V,H),H),J=K(J,a(At,v,V,G),G)),0!==W&&(J=K(J,a(4,m,W,H),H),J=K(J,a(Ft,z,W,G),G)),0!==X&&(J=K(J,a(4,T,X,H),H),J=K(J,a(kt,B,X,G),G)),0!==O&&(0!==S&&(J=N(J,O,S,xt,X)),0!==U&&(J=N(J,-O,U,yt,W))),0!==P&&(0!==U&&(J=N(J,P,U,pt,V)),0!==R&&(J=N(J,-P,R,xt,X))),0!==Q&&(0!==R&&(J=N(J,Q,R,yt,W)),0!==S&&(J=N(J,-Q,S,pt,V))),I[J-1]}(t,n,o,c,i,u,h,b,M,l,d,p,nt)},t.orient3dfast=function(t,n,e,r,s,o,a,c,f,i,u,h){const b=n-u,M=s-u,l=c-u,d=e-h,p=o-h,y=f-h;return(t-i)*(M*y-p*l)+(r-i)*(l*d-y*b)+(a-i)*(b*p-d*M)}}));