command line interface to qhull
	 includes SIOUX interface for Macintoshes

   see qh-qhull.htm

   copyright (c) 1993-2002, The Geometry Center

#include "qhull.h"
#include "mem.h"
#include "qset.h"

#if __MWERKS__ && __POWERPC__

#elif __cplusplus
extern "C" {
  int isatty (int);

#elif _MSC_VER
#define isatty _isatty

int isatty (int);  /* returns 1 if stdin is a tty
		   if "Undefined symbol" this can be deleted along with call in main() */


    long prompt for qhull
    concise prompt below
char qh_prompta[]= "\n\
qhull- compute convex hulls and related structures.\n\
    http://www.geom.umn.edu/software/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\
    d    - Delaunay triangulation by lifting points to a paraboloid\n\
    d Qu - furthest-site Delaunay triangulation (upper convex hull)\n\
    v    - Voronoi diagram (dual of the Delaunay triangulation)\n\
    v Qu - furthest-site Voronoi diagram\n\
    Hn,n,... - halfspace intersection about point [n,n,0,...]\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\
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\
    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[]= "\
    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\
    Qr   - process random outside points instead of furthest ones\n\
    Qs   - search all points for the initial simplex\n\
    Qu   - for 'd' or 'v', 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\
    Q10  - no special processing for narrow distributions\n\
    Q11  - copy normals and recompute centrums for tricoplanar facets\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\
    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\
    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\
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\
    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\
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\
    o    - OFF format (dim, points and facets; Voronoi regions)\n\
    n    - normals with offsets\n\
    p    - vertex coordinates or Voronoi vertices (coplanar points if 'Qc')\n\
    s    - summary (stderr)\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 or Voronoi center 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\
           for 'v', separating hyperplanes for bounded Voronoi regions\n\
    FI   - ID of 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\
           for 'v', separating hyperplanes for unbounded Voronoi regions\n\
    FO   - options and precision constants\n\
    Fp   - dim, count, and intersection coordinates (halfspace only)\n\
    FP   - nearest vertex and distance for each coplanar point\n\
    FQ   - command used for qhull\n\
    Fs   - summary: #int (8), dimension, #points, tot vertices, tot facets,\n\
                      output: #vertices, #facets, #coplanars, #nonsimplicial\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\
           for 'v', Voronoi diagram as Voronoi vertices for pairs of sites\n\
    FV   - average of vertices (a feasible point for 'H')\n\
    Fx   - extreme points (in order for 2-d)\n\
char qh_prompte[]= "\
Geomview options (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\
     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\
    Gt   - for 3-d 'd', transparent outer ridges\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\
    .    - 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) */


    synopsis for qhull
char qh_prompt2[]= "\n\
qhull- compute convex hulls and related structures.  %s\n\
    input (stdin): dimension, n, point coordinates\n\
    comments start with a non-numeric character\n\
    halfspace: use dim+1 and put offsets after coefficients\n\
options (qh-quick.htm):\n\
    d    - Delaunay triangulation by lifting points to a paraboloid\n\
    d Qu - furthest-site Delaunay triangulation (upper convex hull)\n\
    v    - Voronoi diagram as the dual of the Delaunay triangulation\n\
    v Qu - furthest-site Voronoi diagram\n\
    H1,1 - Halfspace intersection about [1,1,0,...] via polar duality\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\
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 (if 'Qc', includes coplanar points)\n\
           if 'v', Voronoi vertices\n\
    Fp   - halfspace intersections\n\
    Fx   - extreme points (convex hull vertices)\n\
    FA   - compute total area and volume\n\
    o    - OFF format (if 'v', outputs Voronoi regions)\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\
    rbox c d D2 | qhull Qc s f Fx | more      rbox 1000 s | qhull Tv s FA\n\
    rbox 10 D2 | qhull d QJ s i TO result     rbox 10 D2 | qhull v QJ p\n\
    rbox 10 D2 | qhull d Qu QJ m              rbox 10 D2 | qhull v Qu QJ o\n\
    rbox c | qhull n                          rbox c | qhull FV n | qhull H Fp\n\
    rbox d D12 | qhull QR0 FA                 rbox c D7 | qhull FA TF1000\n\
    rbox y 1000 W0 | qhull                    rbox 10 | qhull v QJ o Fv\n\
/* for opts, don't assign 'e' or 'E' to a flag (already used for exponent) */


    concise prompt for qhull
char qh_prompt3[]= "\n\
Qhull %s.\n\
Except for 'F.' and 'PG', upper-case options take an argument.\n\
 delaunay       voronoi	       Geomview       Halfspace      facet_dump\n\
 incidences     mathematica    normals        OFF_format     points\n\
 Farea          FArea-total    Fcoplanars     FCentrums      Fd-cdd-in\n\
 FD-cdd-out     FF-dump-xridge Finner         FIDs           Fmerges\n\
 Fneighbors     FNeigh-vertex  Fouter         FOptions       Fpoint-intersect\n\
 FPoint_near    FQhull         Fsummary       FSize          Ftriangles\n\
 Fvertices      Fvoronoi       FVertex-ave    Fxtremes\n\
 Gvertices      Gpoints        Gall_points    Gno_planes     Ginner\n\
 Gcentrums      Ghyperplanes   Gridges        Gouter         GDrop_dim\n\
 PArea-keep     Pdrop d0:0D0   Pgood          PFacet_area_keep\n\
 PGood_neighbors PMerge-keep   Poutput_forced Pprecision_not\n\
 QbBound 0:0.5  Qbk:0Bk:0_drop QbB-scale-box  Qbb-scale-last Qcoplanar\n\
 Qfurthest      Qgood_only     QGood_point    Qinterior      Qmax_out\n\
 QJoggle        Qrandom        QRotate        Qsearch_1st    Qtriangulate\n\
 QupperDelaunay QVertex_good   Qvneighbors    Qxact_merge    Qzinfinite\n\
 Q0_no_premerge Q1_no_angle    Q2_no_independ Q3_no_redundant Q4_no_old\n\
 Q5_no_check_out Q6_no_concave Q7_depth_first Q8_no_near_in  Q9_pick_furthest\n\
 Q10_no_narrow  Q11_trinormals\n\
 T4_trace       Tcheck_often   Tstatistics    Tverify        Tz_stdout\n\
 TFacet_log     TInput_file    TPoint_trace   TMerge_trace   TOutput_file\n\
 TRerun         TWide_trace    TVertex_stop   TCone_stop\n\
 Angle_max      Centrum_size   Error_round    Random_dist    Visible_min\n\
 Ucoplanar_max  Wide_outside\n\


  main( argc, argv )
    processes the command line, calls qhull() to do the work, and exits

    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);

  if ((argc == 1) && isatty( 0 /*stdin*/)) {
    fprintf(stdout, qh_prompt2, qh_VERSION);
  if (argc > 1 && *argv[1] == '-' && !*(argv[1]+1)) {
    fprintf(stdout, qh_prompta, qh_VERSION, qh_DEFAULTbox,
		qh_promptb, qh_promptc, qh_promptd, qh_prompte);
  if (argc >1 && *argv[1] == '.' && !*(argv[1]+1)) {
    fprintf(stdout, qh_prompt3, qh_VERSION);
  qh_init_A (stdin, stdout, stderr, argc, argv);  /* sets qh qhull_command */
  exitcode= setjmp (qh errexit); /* simple statement for CRAY J916 */
  if (!exitcode) {
    qh_initflags (qh qhull_command);
    points= qh_readpoints (&numpoints, &dim, &ismalloc);
    qh_init_B (points, numpoints, dim, ismalloc);
    if (qh VERIFYoutput && !qh FORCEoutput && !qh STOPpoint && !qh STOPcone)
    exitcode= qh_ERRnone;
  qh NOerrexit= True;  /* no more setjmp */
#ifdef qh_NOmem
  qh_freeqhull( True);
  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);
  return exitcode;
} /* main */