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Diffstat (limited to 'extern/qhull/src/qhalf.c')
-rw-r--r--extern/qhull/src/qhalf.c324
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diff --git a/extern/qhull/src/qhalf.c b/extern/qhull/src/qhalf.c
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-/*<html><pre> -<a href="qh-qhull.htm"
- >-------------------------------</a><a name="TOP">-</a>
-
- qhalf.c
- compute the intersection of halfspaces about a point
-
- 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 qhull
-
- notes:
- restricted version of qhull.c
-
- see:
- concise prompt below
-*/
-
-/* duplicated in qhalf.htm */
-char hidden_options[]=" d n v Qbb QbB Qf Qg Qm Qr QR Qv Qx Qz TR E V Fa FA FC FD FS Ft FV Gt Q0 Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 ";
-
-char qh_prompta[]= "\n\
-qhalf- compute the intersection of halfspaces about a point\n\
- http://www.geom.umn.edu/software/qhull %s\n\
-\n\
-input (stdin):\n\
- optional interior point: dimension, 1, coordinates\n\
- first lines: dimension+1 and number of halfspaces\n\
- other lines: halfspace coefficients followed by offset\n\
- comments: start with a non-numeric character\n\
-\n\
-options:\n\
- Hn,n - specify coordinates of interior point\n\
- Qt - triangulated output\n\
- QJ - joggled input instead of merged facets\n\
- Qc - keep coplanar halfspaces\n\
- Qi - keep other redundant halfspaces\n\
-\n\
-Qhull control options:\n\
- QJn - randomly joggle input in range [-n,n]\n\
-%s%s%s%s"; /* split up qh_prompt for Visual C++ */
-char qh_promptb[]= "\
- Qbk:0Bk:0 - remove k-th coordinate from input\n\
- Qs - search all halfspaces for the initial simplex\n\
- QGn - print intersection if visible to halfspace n, -n for not\n\
- QVn - print intersections for halfspace 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 redundancy\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 halfspace n added to intersection\n\
- TMn - turn on tracing at merge n\n\
- TWn - trace merge facets when width > n\n\
- TVn - stop qhull after adding halfspace n, -n for before (see TCn)\n\
- TCn - stop qhull after building cone for halfspace 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 halfspace\n\
- Wn - min facet width for outside halfspace (before roundoff)\n\
-\n\
-Output formats (may be combined; if none, produces a summary to stdout):\n\
- f - facet dump\n\
- G - Geomview output (dual convex hull)\n\
- i - non-redundant halfspaces incident to each intersection\n\
- m - Mathematica output (dual convex hull)\n\
- o - OFF format (dual convex hull: dimension, points, and facets)\n\
- p - vertex coordinates of dual convex hull (coplanars if 'Qc' or 'Qi')\n\
- s - summary (stderr)\n\
-\n\
-";
-char qh_promptd[]= "\
-More formats:\n\
- Fc - count plus redundant halfspaces for each intersection\n\
- - Qc (default) for coplanar and Qi for other redundant\n\
- Fd - use cdd format for input (homogeneous with offset first)\n\
- FF - facet dump without ridges\n\
- FI - ID of each intersection\n\
- Fm - merge count for each intersection (511 max)\n\
- Fn - count plus neighboring intersections for each intersection\n\
- FN - count plus intersections for each non-redundant halfspace\n\
- FO - options and precision constants\n\
- Fp - dim, count, and intersection coordinates\n\
- FP - nearest halfspace and distance for each redundant halfspace\n\
- FQ - command used for qhalf\n\
- Fs - summary: #int (8), dim, #halfspaces, #non-redundant, #intersections\n\
- for output: #non-redundant, #intersections, #coplanar\n\
- halfspaces, #non-simplicial intersections\n\
- #real (2), max outer plane, min vertex\n\
- Fv - count plus non-redundant halfspaces for each intersection\n\
- Fx - non-redundant halfspaces\n\
-\n\
-";
-char qh_prompte[]= "\
-Geomview output (2-d, 3-d and 4-d; dual convex hull)\n\
- Ga - all points (i.e., transformed halfspaces) as dots\n\
- Gp - coplanar points and vertices as radii\n\
- Gv - vertices (i.e., non-redundant halfspaces) as spheres\n\
- Gi - inner planes (i.e., halfspace intersections) 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 (i.e., intersections) 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\
-qhalf- halfspace intersection about a point. Qhull %s\n\
- input (stdin): [dim, 1, interior point], dim+1, n, coefficients+offset\n\
- comments start with a non-numeric character\n\
-\n\
-options (qhalf.htm):\n\
- Hn,n - specify coordinates of interior point\n\
- Qt - triangulated output\n\
- QJ - joggled input instead of merged facets\n\
- Tv - verify result: structure, convexity, and redundancy\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\
- Fp - intersection coordinates\n\
- Fv - non-redundant halfspaces incident to each intersection\n\
- Fx - non-redundant halfspaces\n\
- o - OFF file format (dual convex hull)\n\
- G - Geomview output (dual convex hull)\n\
- m - Mathematica output (dual convex hull)\n\
- QVn - print intersections for halfspace n, -n if not\n\
- TO file - output results to file, may be enclosed in single quotes\n\
-\n\
-examples:\n\
- rbox d | qconvex FQ n | qhalf s H0,0,0 Fp\n\
- rbox c | qconvex FQ FV n | qhalf s i\n\
- rbox c | qconvex FQ FV n | qhalf s o\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 Geomview mathematica OFF_format point_dual\n\
- summary facet_dump\n\
-\n\
- Fc_redundant Fd_cdd_in FF_dump_xridge FIDs Fmerges\n\
- Fneighbors FN_intersect FOptions Fp_coordinates FP_nearest\n\
- FQhalf Fsummary Fv_halfspace Fx_non_redundant\n\
-\n\
- Gvertices Gpoints Gall_points Gno_planes Ginner\n\
- Gcentrums Ghyperplanes Gridges Gouter GDrop_dim\n\
-\n\
- PArea_keep Pdrop d0:0D0 Pgood PFacet_area_keep\n\
- PGood_neighbors PMerge_keep Poutput_forced Pprecision_not\n\
-\n\
- Qbk:0Bk:0_drop Qcoplanar QG_half_good Qi_redundant QJoggle\n\
- Qsearch_1st Qtriangulate 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#TOC"
- >-------------------------------</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_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_option ("Halfspace", NULL, NULL);
- qh HALFspace= True; /* 'H' */
- qh_checkflags (qh qhull_command, hidden_options);
- qh_initflags (qh qhull_command);
- if (qh SCALEinput) {
- fprintf(qh ferr, "\
-qhull error: options 'Qbk:n' and 'QBk:n' are not used with qhalf.\n\
- Use 'Qbk:0Bk:0 to drop dimension k.\n");
- qh_errexit(qh_ERRinput, NULL, NULL);
- }
- 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 */
-