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Diffstat (limited to 'extern/qhull/src/qconvex.c')
-rw-r--r--extern/qhull/src/qconvex.c334
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diff --git a/extern/qhull/src/qconvex.c b/extern/qhull/src/qconvex.c
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-/*<html><pre> -<a href="qh-qhull.htm"
- >-------------------------------</a><a name="TOP">-</a>
-
- qconvex.c
- compute convex hulls using qhull
-
- see unix.c for full interface
-
- copyright (c) 1993-2002, The Geometry Center
-*/
-
-#include <stdio.h>
-#include <stdlib.h>
-#include <string.h>
-#include <ctype.h>
-#include <math.h>
-#include "qhull.h"
-#include "mem.h"
-#include "qset.h"
-
-#if __MWERKS__ && __POWERPC__
-#include <SIOUX.h>
-#include <Files.h>
-#include <console.h>
-#include <Desk.h>
-
-#elif __cplusplus
-extern "C" {
- int isatty (int);
-}
-
-#elif _MSC_VER
-#include <io.h>
-#define isatty _isatty
-
-#else
-int isatty (int); /* returns 1 if stdin is a tty
- if "Undefined symbol" this can be deleted along with call in main() */
-#endif
-
-/*-<a href="qh-qhull.htm#TOC"
- >-------------------------------</a><a name="prompt">-</a>
-
- qh_prompt
- long prompt for qconvex
-
- notes:
- restricted version of qhull.c
-
- see:
- concise prompt below
-*/
-
-/* duplicated in qconvex.htm */
-char hidden_options[]=" d v H Qbb Qf Qg Qm Qr Qu Qv Qx Qz TR E V Fp Gt Q0 Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 ";
-
-char qh_prompta[]= "\n\
-qconvex- compute the convex hull\n\
- http://www.geom.umn.edu/software/qhull %s\n\
-\n\
-input (stdin):\n\
- first lines: dimension and number of points (or vice-versa).\n\
- other lines: point coordinates, best if one point per line\n\
- comments: start with a non-numeric character\n\
-\n\
-options:\n\
- Qt - triangulated output\n\
- QJ - joggled input instead of merged facets\n\
- Qc - keep coplanar points with nearest facet\n\
- Qi - keep interior points with nearest facet\n\
-\n\
-Qhull control options:\n\
- Qbk:n - scale coord k so that low bound is n\n\
- QBk:n - scale coord k so that upper bound is n (QBk is %2.2g)\n\
- QbB - scale input to unit cube centered at the origin\n\
- Qbk:0Bk:0 - remove k-th coordinate from input\n\
- QJn - randomly joggle input in range [-n,n]\n\
- QRn - random rotation (n=seed, n=0 time, n=-1 time/no rotate)\n\
-%s%s%s%s"; /* split up qh_prompt for Visual C++ */
-char qh_promptb[]= "\
- Qs - search all points for the initial simplex\n\
- QGn - good facet if visible from point n, -n for not visible\n\
- QVn - good facet if it includes point n, -n if not\n\
-\n\
-";
-char qh_promptc[]= "\
-Trace options:\n\
- T4 - trace at level n, 4=all, 5=mem/gauss, -1= events\n\
- Tc - check frequently during execution\n\
- Ts - print statistics\n\
- Tv - verify result: structure, convexity, and point inclusion\n\
- Tz - send all output to stdout\n\
- TFn - report summary when n or more facets created\n\
- TI file - input data from file, no spaces or single quotes\n\
- TO file - output results to file, may be enclosed in single quotes\n\
- TPn - turn on tracing when point n added to hull\n\
- TMn - turn on tracing at merge n\n\
- TWn - trace merge facets when width > n\n\
- TVn - stop qhull after adding point n, -n for before (see TCn)\n\
- TCn - stop qhull after building cone for point n (see TVn)\n\
-\n\
-Precision options:\n\
- Cn - radius of centrum (roundoff added). Merge facets if non-convex\n\
- An - cosine of maximum angle. Merge facets if cosine > n or non-convex\n\
- C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge\n\
- Rn - randomly perturb computations by a factor of [1-n,1+n]\n\
- Un - max distance below plane for a new, coplanar point\n\
- Wn - min facet width for outside point (before roundoff)\n\
-\n\
-Output formats (may be combined; if none, produces a summary to stdout):\n\
- f - facet dump\n\
- G - Geomview output (see below)\n\
- i - vertices incident to each facet\n\
- m - Mathematica output (2-d and 3-d)\n\
- n - normals with offsets\n\
- o - OFF file format (dim, points and facets; Voronoi regions)\n\
- p - point coordinates \n\
- s - summary (stderr)\n\
-\n\
-";
-char qh_promptd[]= "\
-More formats:\n\
- Fa - area for each facet\n\
- FA - compute total area and volume for option 's'\n\
- Fc - count plus coplanar points for each facet\n\
- use 'Qc' (default) for coplanar and 'Qi' for interior\n\
- FC - centrum for each facet\n\
- Fd - use cdd format for input (homogeneous with offset first)\n\
- FD - use cdd format for numeric output (offset first)\n\
- FF - facet dump without ridges\n\
- Fi - inner plane for each facet\n\
- FI - ID for each facet\n\
- Fm - merge count for each facet (511 max)\n\
- Fn - count plus neighboring facets for each facet\n\
- FN - count plus neighboring facets for each point\n\
- Fo - outer plane (or max_outside) for each facet\n\
- FO - options and precision constants\n\
- FP - nearest vertex for each coplanar point\n\
- FQ - command used for qconvex\n\
- Fs - summary: #int (8), dimension, #points, tot vertices, tot facets,\n\
- for output: #vertices, #facets,\n\
- #coplanar points, #non-simplicial facets\n\
- #real (2), max outer plane, min vertex\n\
- FS - sizes: #int (0) \n\
- #real(2) tot area, tot volume\n\
- Ft - triangulation with centrums for non-simplicial facets (OFF format)\n\
- Fv - count plus vertices for each facet\n\
- FV - average of vertices (a feasible point for 'H')\n\
- Fx - extreme points (in order for 2-d)\n\
-\n\
-";
-char qh_prompte[]= "\
-Geomview output (2-d, 3-d, and 4-d)\n\
- Ga - all points as dots\n\
- Gp - coplanar points and vertices as radii\n\
- Gv - vertices as spheres\n\
- Gi - inner planes only\n\
- Gn - no planes\n\
- Go - outer planes only\n\
- Gc - centrums\n\
- Gh - hyperplane intersections\n\
- Gr - ridges\n\
- GDn - drop dimension n in 3-d and 4-d output\n\
-\n\
-Print options:\n\
- PAn - keep n largest facets by area\n\
- Pdk:n - drop facet if normal[k] <= n (default 0.0)\n\
- PDk:n - drop facet if normal[k] >= n\n\
- Pg - print good facets (needs 'QGn' or 'QVn')\n\
- PFn - keep facets whose area is at least n\n\
- PG - print neighbors of good facets\n\
- PMn - keep n facets with most merges\n\
- Po - force output. If error, output neighborhood of facet\n\
- Pp - do not report precision problems\n\
-\n\
- . - list of all options\n\
- - - one line descriptions of all options\n\
-";
-/* for opts, don't assign 'e' or 'E' to a flag (already used for exponent) */
-
-/*-<a href="qh-qhull.htm#TOC"
- >-------------------------------</a><a name="prompt2">-</a>
-
- qh_prompt2
- synopsis for qhull
-*/
-char qh_prompt2[]= "\n\
-qconvex- compute the convex hull. Qhull %s\n\
- input (stdin): dimension, number of points, point coordinates\n\
- comments start with a non-numeric character\n\
-\n\
-options (qconvex.htm):\n\
- Qt - triangulated output\n\
- QJ - joggled input instead of merged facets\n\
- Tv - verify result: structure, convexity, and point inclusion\n\
- . - concise list of all options\n\
- - - one-line description of all options\n\
-\n\
-output options (subset):\n\
- s - summary of results (default)\n\
- i - vertices incident to each facet\n\
- n - normals with offsets\n\
- p - vertex coordinates (includes coplanar points if 'Qc')\n\
- Fx - extreme points (convex hull vertices)\n\
- FA - compute total area and volume\n\
- o - OFF format (dim, n, points, facets)\n\
- G - Geomview output (2-d, 3-d, and 4-d)\n\
- m - Mathematica output (2-d and 3-d)\n\
- QVn - print facets that include point n, -n if not\n\
- TO file- output results to file, may be enclosed in single quotes\n\
-\n\
-examples:\n\
- rbox c D2 | qconvex s n rbox c D2 | qconvex i\n\
- rbox c D2 | qconvex o rbox 1000 s | qconvex s Tv FA\n\
- rbox c d D2 | qconvex s Qc Fx rbox y 1000 W0 | qconvex s n\n\
- rbox y 1000 W0 | qconvex s QJ rbox d G1 D12 | qconvex QR0 FA Pp\n\
- rbox c D7 | qconvex FA TF1000\n\
-\n\
-";
-/* for opts, don't assign 'e' or 'E' to a flag (already used for exponent) */
-
-/*-<a href="qh-qhull.htm#TOC"
- >-------------------------------</a><a name="prompt3">-</a>
-
- qh_prompt3
- concise prompt for qhull
-*/
-char qh_prompt3[]= "\n\
-Qhull %s.\n\
-Except for 'F.' and 'PG', upper-case options take an argument.\n\
-\n\
- incidences mathematica normals OFF_format points\n\
- summary facet_dump\n\
-\n\
- Farea FArea_total Fcoplanars FCentrums Fd_cdd_in\n\
- FD_cdd_out FFacet_xridge Finner FIDs Fmerges\n\
- Fneighbors FNeigh_vertex Fouter FOptions FPoint_near\n\
- FQhull Fsummary FSize Fvertices FVertex_ave\n\
- Fxtremes\n\
-\n\
- Gvertices Gpoints Gall_points Gno_planes Ginner\n\
- Gcentrums Ghyperplanes Gridges Gouter GDrop_dim\n\
-\n\
- PArea_keep Pdrop d0:0D0 PFacet_area_keep Pgood PGood_neighbors\n\
- PMerge_keep Poutput_forced Pprecision_not\n\
-\n\
- QbBound 0:0.5 QbB_scale_box Qcoplanar QGood_point Qinterior\n\
- QJoggle Qrandom QRotate Qsearch_1st Qtriangulate\n\
- QVertex_good\n\
-\n\
- T4_trace Tcheck_often Tstatistics Tverify Tz_stdout\n\
- TFacet_log TInput_file TPoint_trace TMerge_trace TOutput_file\n\
- TWide_trace TVertex_stop TCone_stop\n\
-\n\
- Angle_max Centrum_size Random_dist Ucoplanar_max Wide_outside\n\
-";
-
-/*-<a href="qh-qhull.htm"
- >-------------------------------</a><a name="main">-</a>
-
- main( argc, argv )
- processes the command line, calls qhull() to do the work, and exits
-
- design:
- initializes data structures
- reads points
- finishes initialization
- computes convex hull and other structures
- checks the result
- writes the output
- frees memory
-*/
-int main(int argc, char *argv[]) {
- int curlong, totlong; /* used !qh_NOmem */
- int exitcode, numpoints, dim;
- coordT *points;
- boolT ismalloc;
-
-#if __MWERKS__ && __POWERPC__
- char inBuf[BUFSIZ], outBuf[BUFSIZ], errBuf[BUFSIZ];
- SIOUXSettings.showstatusline= false;
- SIOUXSettings.tabspaces= 1;
- SIOUXSettings.rows= 40;
- if (setvbuf (stdin, inBuf, _IOFBF, sizeof(inBuf)) < 0 /* w/o, SIOUX I/O is slow*/
- || setvbuf (stdout, outBuf, _IOFBF, sizeof(outBuf)) < 0
- || (stdout != stderr && setvbuf (stderr, errBuf, _IOFBF, sizeof(errBuf)) < 0))
- fprintf (stderr, "qhull internal warning (main): could not change stdio to fully buffered.\n");
- argc= ccommand(&argv);
-#endif
-
- if ((argc == 1) && isatty( 0 /*stdin*/)) {
- fprintf(stdout, qh_prompt2, qh_VERSION);
- exit(qh_ERRnone);
- }
- if (argc > 1 && *argv[1] == '-' && !*(argv[1]+1)) {
- fprintf(stdout, qh_prompta, qh_VERSION, qh_DEFAULTbox,
- qh_promptb, qh_promptc, qh_promptd, qh_prompte);
- exit(qh_ERRnone);
- }
- if (argc >1 && *argv[1] == '.' && !*(argv[1]+1)) {
- fprintf(stdout, qh_prompt3, qh_VERSION);
- exit(qh_ERRnone);
- }
- qh_init_A (stdin, stdout, stderr, argc, argv); /* sets qh qhull_command */
- exitcode= setjmp (qh errexit); /* simple statement for CRAY J916 */
- if (!exitcode) {
- qh_checkflags (qh qhull_command, hidden_options);
- qh_initflags (qh qhull_command);
- points= qh_readpoints (&numpoints, &dim, &ismalloc);
- if (dim >= 5) {
- qh_option ("Qxact_merge", NULL, NULL);
- qh MERGEexact= True; /* 'Qx' always */
- }
- qh_init_B (points, numpoints, dim, ismalloc);
- qh_qhull();
- qh_check_output();
- qh_produce_output();
- if (qh VERIFYoutput && !qh FORCEoutput && !qh STOPpoint && !qh STOPcone)
- qh_check_points();
- exitcode= qh_ERRnone;
- }
- qh NOerrexit= True; /* no more setjmp */
-#ifdef qh_NOmem
- qh_freeqhull( True);
-#else
- qh_freeqhull( False);
- qh_memfreeshort (&curlong, &totlong);
- if (curlong || totlong)
- fprintf (stderr, "qhull internal warning (main): did not free %d bytes of long memory (%d pieces)\n",
- totlong, curlong);
-#endif
- return exitcode;
-} /* main */
-