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/*<html><pre>  -<a                             href="qh-c.htm#qhull"
  >-------------------------------</a><a name="TOP">-</a>

   unix.c
   Unix version of Qhull

   see qh-c.htm

   copyright (c) 1993-1999, 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-c.htm#qhull"
  >-------------------------------</a><a name="prompt">-</a>

  qh_prompt and qh_version
    version and long prompt for qhull
    
  notes:
    change date:    Changes.txt, Announce.txt, README.txt, qhull.man
                    qhull-news.html, Eudora signatures
    change version: README.txt, qhull.html, file_id.diz, Makefile
    change year:    Copying.txt
    check download size
    recompile user_eg.c, rbox.c, qhull.c
 
  see:
    concise prompt below
*/  
char qh_version[]= "version 2.6 1999/04/19"; 
char qh_prompta[]= "\n\
qhull- compute convex hulls and related structures.\n\
    http://www.geom.umn.edu/locate/qhull  %s\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\
    halfspaces:  use dim plus one and put offset after coefficients.\n\
        May be preceeded by a single interior point ('H').\n\
\n\
options:\n\
    d    - Delaunay triangulation by lifting points to a paraboloid\n\
    v    - Voronoi diagram from the Delaunay triangulation\n\
    Hn,n,... - halfspace intersection about [n,n,0,...]\n\
    d Qu - furthest-site Delaunay triangulation (upper convex hull)\n\
    v Qu - furthest-site Voronoi diagram\n\
    QJ   - joggle input instead of merging facets\n\
\n\
  Qopts- 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\n\
           Qbb     - scale last coordinate to [0,m] for Delaunay triangulations\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[]= "\
           Qc      - keep coplanar points with nearest facet\n\
           Qf      - partition point to furthest outside facet\n\
           Qg      - only build good facets (needs 'QGn', 'QVn', or 'PdD')\n\
           Qm      - only process points that would increase max_outside\n\
           Qi      - keep interior points with nearest facet\n\
           Qr      - process random outside points instead of furthest ones\n\
           Qs      - search all points for the initial simplex\n\
           Qu      - for 'd', compute upper hull without point at-infinity\n\
                     returns furthest-site Delaunay triangulation\n\
           Qv      - test vertex neighbors for convexity\n\
           Qx      - exact pre-merges (skips coplanar and angle coplanar facets)\n\
           Qz      - add point-at-infinity to Delaunay triangulation\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\
           Q0      - turn off default premerge with 'C-0'/'Qx'\n\
           Q1	   - sort merges by type instead of angle\n\
           Q2      - merge all non-convex at once instead of independent sets\n\
           Q3      - do not merge redundant vertices\n\
           Q4      - avoid old->new merges\n\
           Q5      - do not correct outer planes at end of qhull\n\
           Q6      - do not pre-merge concave or coplanar facets\n\
           Q7      - depth-first processing instead of breadth-first\n\
           Q8      - do not process near-inside points\n\
           Q9      - process furthest of furthest points\n\
";
char qh_promptc[]= "\
  Topts- 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\
           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\
           TRn     - rerun qhull n times.  Use with 'QJn'\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 (default detects precision problems without correction):\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\
    En   - max roundoff error for distance computation\n\
    Rn   - randomly perturb computations by a factor of [1-n,1+n]\n\
    Vn   - min distance above plane for a visible facet (default 3C-n or En)\n\
    Un   - max distance below plane for a new, coplanar point (default Vn)\n\
    Wn   - min facet width for outside point (before roundoff, default 2Vn)\n\
\n\
Output formats (may be combined; if none, produces a summary to stdout):\n\
    f    - all fields of all facets\n\
    i    - vertices incident to each facet\n\
    m    - Mathematica output (2-d and 3-d)\n\
    o    - OFF file format (dim, points and facets; Voronoi regions)\n\
    n    - normals with offsets\n\
    p    - point coordinates (Voronoi vertices)\n\
    s    - print summary to stderr\n\
";
char qh_promptd[]= "\
    Fopts- additional input/output formats:\n\
    	   Fa      - print area for each facet\n\
           FA      - compute total area and volume for option 's'\n\
           Fc      - print count and coplanar points for each facet\n\
           FC      - print centrum or Voronoi center for each facet\n\
           Fd      - use cdd format for input (homogeneous with offset first)\n\
           FD      - use cdd format for normals (offset first)\n\
           FF      - print facets w/o ridges\n\
           Fi      - print inner planes for each facet\n\
           Fi      - print inner ridge normals (bounded) for Voronoi diagram\n\
           FI      - print id for each facet\n\
           Fm      - print merge count for each facet (511 max)\n\
           Fn      - print count and neighbors for each facet\n\
           FN      - print count and vertex neighbors for each point\n\
           Fo      - print outer planes (or max_outside) for each facet\n\
           Fo      - print outer ridge normals (unbounded)for Voronoi diagram\n\
           FO      - print all options\n\
           Fp      - print point for each halfspace intersection\n\
           FP      - print nearest vertex for each coplanar point (v,p,f,d)\n\
           FQ      - print Qhull and input command\n\
           Fs      - print summary: #int (6), dimension, #points,\n\
                       tot vertices, tot facets, #vertices in output, #facets\n\
                       #real (2), max outer plane and min vertex\n\
           FS      - print sizes: #int (0), #real(2) tot area, tot vol\n\
           Ft      - print Delaunay triangulation with added centrums\n\
           Fv      - print count and vertices for each facet\n\
	   Fv      - print Voronoi diagram as vertices for each pair of sites\n\
           FV      - print average vertex (feasible point for 'H')\n\
           Fx      - print extreme points by point id (2-d, in order)\n\
";
char qh_prompte[]= "\
    Gopts- Geomview output (2-d, 3-d and 4-d; 2-d Voronoi)\n\
           Ga      - all points as dots\n\
            Gp     -  coplanar points and vertices as radii\n\

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