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+/*<html><pre> -<a href="../libqhull/qh-qhull.htm"
+ >-------------------------------</a><a name="TOP">-</a>
+
+ qvoronoi.c
+ compute Voronoi diagrams and furthest-point Voronoi
+ diagrams using qhull
+
+ see unix.c for full interface
+
+ Copyright (c) 1993-2015, The Geometry Center
+*/
+
+#include "libqhull_r/libqhull_r.h"
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <ctype.h>
+#include <math.h>
+
+#if __cplusplus
+extern "C" {
+ int isatty(int);
+}
+
+#elif _MSC_VER
+#include <io.h>
+#define isatty _isatty
+/* int _isatty(int); */
+
+#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="../libqhull/qh-qhull.htm#TOC"
+ >-------------------------------</a><a name="prompt">-</a>
+
+ qh_prompt
+ long prompt for qhull
+
+ notes:
+ restricted version of libqhull.c
+
+ see:
+ concise prompt below
+*/
+
+/* duplicated in qvoron_f.htm and qvoronoi.htm
+ QJ and Qt are deprecated, but allowed for backwards compatibility
+*/
+char hidden_options[]=" d n m v H U Qb QB Qc Qf Qg Qi Qm Qr QR Qv Qx TR E V Fa FA FC Fp FS Ft FV Pv Gt Q0 Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 ";
+
+char qh_prompta[]= "\n\
+qvoronoi- compute the Voronoi diagram\n\
+ http://www.qhull.org %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\
+ Qu - compute furthest-site Voronoi diagram\n\
+\n\
+Qhull control options:\n\
+ Qz - add point-at-infinity to Voronoi diagram\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 - Voronoi vertices if visible from point n, -n if not\n\
+ QVn - Voronoi vertices for input 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 - statistics\n\
+ Tv - verify result: structure, convexity, and in-circle test\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\
+ Wn - min facet width for non-coincident point (before roundoff)\n\
+\n\
+Output formats (may be combined; if none, produces a summary to stdout):\n\
+ s - summary to stderr\n\
+ p - Voronoi vertices\n\
+ o - OFF format (dim, Voronoi vertices, and Voronoi regions)\n\
+ i - Delaunay regions (use 'Pp' to avoid warning)\n\
+ f - facet dump\n\
+\n\
+";
+char qh_promptd[]= "\
+More formats:\n\
+ Fc - count plus coincident points (by Voronoi vertex)\n\
+ Fd - use cdd format for input (homogeneous with offset first)\n\
+ FD - use cdd format for output (offset first)\n\
+ FF - facet dump without ridges\n\
+ Fi - separating hyperplanes for bounded Voronoi regions\n\
+ FI - ID for each Voronoi vertex\n\
+ Fm - merge count for each Voronoi vertex (511 max)\n\
+ Fn - count plus neighboring Voronoi vertices for each Voronoi vertex\n\
+ FN - count and Voronoi vertices for each Voronoi region\n\
+ Fo - separating hyperplanes for unbounded Voronoi regions\n\
+ FO - options and precision constants\n\
+ FP - nearest point and distance for each coincident point\n\
+ FQ - command used for qvoronoi\n\
+ Fs - summary: #int (8), dimension, #points, tot vertices, tot facets,\n\
+ for output: #Voronoi regions, #Voronoi vertices,\n\
+ #coincident points, #non-simplicial regions\n\
+ #real (2), max outer plane and min vertex\n\
+ Fv - Voronoi diagram as Voronoi vertices between adjacent input sites\n\
+ Fx - extreme points of Delaunay triangulation (on convex hull)\n\
+\n\
+";
+char qh_prompte[]= "\
+Geomview options (2-d only)\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 Voronoi vertices 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 Voronoi vertices (needs 'QGn' or 'QVn')\n\
+ PFn - keep Voronoi vertices whose 'area' is at least n\n\
+ PG - print neighbors of good Voronoi vertices\n\
+ PMn - keep n Voronoi vertices 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\
+ -V - version\n\
+";
+/* for opts, don't assign 'e' or 'E' to a flag (already used for exponent) */
+
+/*-<a href="../libqhull/qh-qhull.htm#TOC"
+ >-------------------------------</a><a name="prompt2">-</a>
+
+ qh_prompt2
+ synopsis for qhull
+*/
+char qh_prompt2[]= "\n\
+qvoronoi- compute the Voronoi diagram. Qhull %s\n\
+ input (stdin): dimension, number of points, point coordinates\n\
+ comments start with a non-numeric character\n\
+\n\
+options (qvoronoi.htm):\n\
+ Qu - compute furthest-site Voronoi diagram\n\
+ Tv - verify result: structure, convexity, and in-circle test\n\
+ . - concise list of all options\n\
+ - - one-line description of all options\n\
+ -V - version\n\
+\n\
+output options (subset):\n\
+ s - summary of results (default)\n\
+ p - Voronoi vertices\n\
+ o - OFF file format (dim, Voronoi vertices, and Voronoi regions)\n\
+ FN - count and Voronoi vertices for each Voronoi region\n\
+ Fv - Voronoi diagram as Voronoi vertices between adjacent input sites\n\
+ Fi - separating hyperplanes for bounded regions, 'Fo' for unbounded\n\
+ G - Geomview output (2-d only)\n\
+ QVn - Voronoi vertices for input point n, -n if not\n\
+ TO file- output results to file, may be enclosed in single quotes\n\
+\n\
+examples:\n\
+rbox c P0 D2 | qvoronoi s o rbox c P0 D2 | qvoronoi Fi\n\
+rbox c P0 D2 | qvoronoi Fo rbox c P0 D2 | qvoronoi Fv\n\
+rbox c P0 D2 | qvoronoi s Qu Fv rbox c P0 D2 | qvoronoi Qu Fo\n\
+rbox c G1 d D2 | qvoronoi s p rbox c P0 D2 | qvoronoi s Fv QV0\n\
+\n\
+";
+/* for opts, don't assign 'e' or 'E' to a flag (already used for exponent) */
+
+/*-<a href="../libqhull/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\
+ OFF_format p_vertices i_delaunay summary facet_dump\n\
+\n\
+ Fcoincident Fd_cdd_in FD_cdd_out FF-dump-xridge Fi_bounded\n\
+ Fxtremes Fmerges Fneighbors FNeigh_region FOptions\n\
+ Fo_unbounded FPoint_near FQvoronoi Fsummary Fvoronoi\n\
+ FIDs\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\
+ QG_vertex_good Qsearch_1st Qupper_voronoi QV_point_good Qzinfinite\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 Wide_outside\n\
+";
+
+/*-<a href="../libqhull/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;
+ qhT qh_qh;
+ qhT *qh= &qh_qh;
+
+ QHULL_LIB_CHECK /* Check for compatible library */
+
+ 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);
+ }
+ if (argc > 1 && *argv[1] == '-' && *(argv[1]+1)=='V') {
+ fprintf(stdout, "%s\n", qh_version2);
+ exit(qh_ERRnone);
+ }
+ qh_init_A(qh, stdin, stdout, stderr, argc, argv); /* sets qh->qhull_command */
+ exitcode= setjmp(qh->errexit); /* simple statement for CRAY J916 */
+ if (!exitcode) {
+ qh->NOerrexit = False;
+ qh_option(qh, "voronoi _bbound-last _coplanar-keep", NULL, NULL);
+ qh->DELAUNAY= True; /* 'v' */
+ qh->VORONOI= True;
+ qh->SCALElast= True; /* 'Qbb' */
+ qh_checkflags(qh, qh->qhull_command, hidden_options);
+ qh_initflags(qh, qh->qhull_command);
+ points= qh_readpoints(qh, &numpoints, &dim, &ismalloc);
+ if (dim >= 5) {
+ qh_option(qh, "_merge-exact", NULL, NULL);
+ qh->MERGEexact= True; /* 'Qx' always */
+ }
+ qh_init_B(qh, points, numpoints, dim, ismalloc);
+ qh_qhull(qh);
+ qh_check_output(qh);
+ qh_produce_output(qh);
+ if (qh->VERIFYoutput && !qh->FORCEoutput && !qh->STOPpoint && !qh->STOPcone)
+ qh_check_points(qh);
+ exitcode= qh_ERRnone;
+ }
+ qh->NOerrexit= True; /* no more setjmp */
+#ifdef qh_NOmem
+ qh_freeqhull(qh, qh_ALL);
+#else
+ qh_freeqhull(qh, !qh_ALL);
+ qh_memfreeshort(qh, &curlong, &totlong);
+ if (curlong || totlong)
+ qh_fprintf_stderr(6263, "qhull internal warning (main): did not free %d bytes of long memory(%d pieces)\n",
+ totlong, curlong);
+#endif
+ return exitcode;
+} /* main */
+