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   31 #define isatty _isatty 
   49 qhull- compute convex hulls and related structures.\n\ 
   50     http://www.qhull.org  %s\n\ 
   53     first lines: dimension and number of points (or vice-versa).\n\ 
   54     other lines: point coordinates, best if one point per line\n\ 
   55     comments:    start with a non-numeric character\n\ 
   56     halfspaces:  use dim plus one and put offset after coefficients.\n\ 
   57                  May be preceded by a single interior point ('H').\n\ 
   60     d    - Delaunay triangulation by lifting points to a paraboloid\n\ 
   61     d Qu - furthest-site Delaunay triangulation (upper convex hull)\n\ 
   62     v    - Voronoi diagram (dual of the Delaunay triangulation)\n\ 
   63     v Qu - furthest-site Voronoi diagram\n\ 
   64     Hn,n,... - halfspace intersection about point [n,n,0,...]\n\ 
   65     Qt   - triangulated output\n\ 
   66     QJ   - joggled input instead of merged facets\n\ 
   67     Qc   - keep coplanar points with nearest facet\n\ 
   68     Qi   - keep interior points with nearest facet\n\ 
   70 Qhull control options:\n\ 
   71     Qbk:n   - scale coord k so that low bound is n\n\ 
   72       QBk:n - scale coord k so that upper bound is n (QBk is %2.2g)\n\ 
   73     QbB  - scale input to unit cube centered at the origin\n\ 
   74     Qbb  - scale last coordinate to [0,m] for Delaunay triangulations\n\ 
   75     Qbk:0Bk:0 - remove k-th coordinate from input\n\ 
   76     QJn  - randomly joggle input in range [-n,n]\n\ 
   77     QRn  - random rotation (n=seed, n=0 time, n=-1 time/no rotate)\n\ 
   80     Qf   - partition point to furthest outside facet\n\ 
   81     Qg   - only build good facets (needs 'QGn', 'QVn', or 'PdD')\n\ 
   82     Qm   - only process points that would increase max_outside\n\ 
   83     Qr   - process random outside points instead of furthest ones\n\ 
   84     Qs   - search all points for the initial simplex\n\ 
   85     Qu   - for 'd' or 'v', compute upper hull without point at-infinity\n\ 
   86               returns furthest-site Delaunay triangulation\n\ 
   87     Qv   - test vertex neighbors for convexity\n\ 
   88     Qx   - exact pre-merges (skips coplanar and angle-coplanar facets)\n\ 
   89     Qz   - add point-at-infinity to Delaunay triangulation\n\ 
   90     QGn  - good facet if visible from point n, -n for not visible\n\ 
   91     QVn  - good facet if it includes point n, -n if not\n\ 
   92     Q0   - turn off default premerge with 'C-0'/'Qx'\n\ 
   93     Q1     - sort merges by type instead of angle\n\ 
   94     Q2   - merge all non-convex at once instead of independent sets\n\ 
   95     Q3   - do not merge redundant vertices\n\ 
   96     Q4   - avoid old->new merges\n\ 
   97     Q5   - do not correct outer planes at end of qhull\n\ 
   98     Q6   - do not pre-merge concave or coplanar facets\n\ 
   99     Q7   - depth-first processing instead of breadth-first\n\ 
  100     Q8   - do not process near-inside points\n\ 
  101     Q9   - process furthest of furthest points\n\ 
  102     Q10  - no special processing for narrow distributions\n\ 
  103     Q11  - copy normals and recompute centrums for tricoplanar facets\n\ 
  104     Q12  - no error on wide merge due to duplicate ridge\n\ 
  108 Topts- Trace options:\n\ 
  109     T4   - trace at level n, 4=all, 5=mem/gauss, -1= events\n\ 
  110     Ta   - annotate output with message codes\n\ 
  111     Tc   - check frequently during execution\n\ 
  112     Ts   - print statistics\n\ 
  113     Tv   - verify result: structure, convexity, and point inclusion\n\ 
  114     Tz   - send all output to stdout\n\ 
  115     TFn  - report summary when n or more facets created\n\ 
  116     TI file - input data from file, no spaces or single quotes\n\ 
  117     TO file - output results to file, may be enclosed in single quotes\n\ 
  118     TPn  - turn on tracing when point n added to hull\n\ 
  119      TMn - turn on tracing at merge n\n\ 
  120      TWn - trace merge facets when width > n\n\ 
  121     TRn  - rerun qhull n times.  Use with 'QJn'\n\ 
  122     TVn  - stop qhull after adding point n, -n for before (see TCn)\n\ 
  123      TCn - stop qhull after building cone for point n (see TVn)\n\ 
  125 Precision options:\n\ 
  126     Cn   - radius of centrum (roundoff added).  Merge facets if non-convex\n\ 
  127      An  - cosine of maximum angle.  Merge facets if cosine > n or non-convex\n\ 
  128            C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge\n\ 
  129     En   - max roundoff error for distance computation\n\ 
  130     Rn   - randomly perturb computations by a factor of [1-n,1+n]\n\ 
  131     Vn   - min distance above plane for a visible facet (default 3C-n or En)\n\ 
  132     Un   - max distance below plane for a new, coplanar point (default Vn)\n\ 
  133     Wn   - min facet width for outside point (before roundoff, default 2Vn)\n\ 
  135 Output formats (may be combined; if none, produces a summary to stdout):\n\ 
  137     G    - Geomview output (see below)\n\ 
  138     i    - vertices incident to each facet\n\ 
  139     m    - Mathematica output (2-d and 3-d)\n\ 
  140     o    - OFF format (dim, points and facets; Voronoi regions)\n\ 
  141     n    - normals with offsets\n\ 
  142     p    - vertex coordinates or Voronoi vertices (coplanar points if 'Qc')\n\ 
  143     s    - summary (stderr)\n\ 
  148     Fa   - area for each facet\n\ 
  149     FA   - compute total area and volume for option 's'\n\ 
  150     Fc   - count plus coplanar points for each facet\n\ 
  151            use 'Qc' (default) for coplanar and 'Qi' for interior\n\ 
  152     FC   - centrum or Voronoi center for each facet\n\ 
  153     Fd   - use cdd format for input (homogeneous with offset first)\n\ 
  154     FD   - use cdd format for numeric output (offset first)\n\ 
  155     FF   - facet dump without ridges\n\ 
  156     Fi   - inner plane for each facet\n\ 
  157            for 'v', separating hyperplanes for bounded Voronoi regions\n\ 
  158     FI   - ID of each facet\n\ 
  159     Fm   - merge count for each facet (511 max)\n\ 
  160     FM   - Maple output (2-d and 3-d)\n\ 
  161     Fn   - count plus neighboring facets for each facet\n\ 
  162     FN   - count plus neighboring facets for each point\n\ 
  163     Fo   - outer plane (or max_outside) for each facet\n\ 
  164            for 'v', separating hyperplanes for unbounded Voronoi regions\n\ 
  165     FO   - options and precision constants\n\ 
  166     Fp   - dim, count, and intersection coordinates (halfspace only)\n\ 
  167     FP   - nearest vertex and distance for each coplanar point\n\ 
  168     FQ   - command used for qhull\n\ 
  169     Fs   - summary: #int (8), dimension, #points, tot vertices, tot facets,\n\ 
  170                       output: #vertices, #facets, #coplanars, #nonsimplicial\n\ 
  171                     #real (2), max outer plane, min vertex\n\ 
  172     FS   - sizes:   #int (0)\n\ 
  173                     #real (2) tot area, tot volume\n\ 
  174     Ft   - triangulation with centrums for non-simplicial facets (OFF format)\n\ 
  175     Fv   - count plus vertices for each facet\n\ 
  176            for 'v', Voronoi diagram as Voronoi vertices for pairs of sites\n\ 
  177     FV   - average of vertices (a feasible point for 'H')\n\ 
  178     Fx   - extreme points (in order for 2-d)\n\ 
  182 Geomview options (2-d, 3-d, and 4-d; 2-d Voronoi)\n\ 
  183     Ga   - all points as dots\n\ 
  184      Gp  -  coplanar points and vertices as radii\n\ 
  185      Gv  -  vertices as spheres\n\ 
  186     Gi   - inner planes only\n\ 
  188      Go  -  outer planes only\n\ 
  190     Gh   - hyperplane intersections\n\ 
  192     GDn  - drop dimension n in 3-d and 4-d output\n\ 
  193     Gt   - for 3-d 'd', transparent outer ridges\n\ 
  196     PAn  - keep n largest facets by area\n\ 
  197     Pdk:n - drop facet if normal[k] <= n (default 0.0)\n\ 
  198     PDk:n - drop facet if normal[k] >= n\n\ 
  199     Pg   - print good facets (needs 'QGn' or 'QVn')\n\ 
  200     PFn  - keep facets whose area is at least n\n\ 
  201     PG   - print neighbors of good facets\n\ 
  202     PMn  - keep n facets with most merges\n\ 
  203     Po   - force output.  If error, output neighborhood of facet\n\ 
  204     Pp   - do not report precision problems\n\ 
  206     .    - list of all options\n\ 
  207     -    - one line descriptions of all options\n\ 
  219 qhull- compute convex hulls and related structures.  Qhull %s\n\ 
  220     input (stdin): dimension, n, point coordinates\n\ 
  221     comments start with a non-numeric character\n\ 
  222     halfspace: use dim+1 and put offsets after coefficients\n\ 
  224 options (qh-quick.htm):\n\ 
  225     d    - Delaunay triangulation by lifting points to a paraboloid\n\ 
  226     d Qu - furthest-site Delaunay triangulation (upper convex hull)\n\ 
  227     v    - Voronoi diagram as the dual of the Delaunay triangulation\n\ 
  228     v Qu - furthest-site Voronoi diagram\n\ 
  229     H1,1 - Halfspace intersection about [1,1,0,...] via polar duality\n\ 
  230     Qt   - triangulated output\n\ 
  231     QJ   - joggled input instead of merged facets\n\ 
  232     Tv   - verify result: structure, convexity, and point inclusion\n\ 
  233     .    - concise list of all options\n\ 
  234     -    - one-line description of each option\n\ 
  237 Output options (subset):\n\ 
  238     s    - summary of results (default)\n\ 
  239     i    - vertices incident to each facet\n\ 
  240     n    - normals with offsets\n\ 
  241     p    - vertex coordinates (if 'Qc', includes coplanar points)\n\ 
  242            if 'v', Voronoi vertices\n\ 
  243     Fp   - halfspace intersections\n\ 
  244     Fx   - extreme points (convex hull vertices)\n\ 
  245     FA   - compute total area and volume\n\ 
  246     o    - OFF format (if 'v', outputs Voronoi regions)\n\ 
  247     G    - Geomview output (2-d, 3-d and 4-d)\n\ 
  248     m    - Mathematica output (2-d and 3-d)\n\ 
  249     QVn  - print facets that include point n, -n if not\n\ 
  250     TO file- output results to file, may be enclosed in single quotes\n\ 
  253     rbox D4 | qhull Tv                        rbox 1000 s | qhull Tv s FA\n\ 
  254     rbox 10 D2 | qhull d QJ s i TO result     rbox 10 D2 | qhull v Qbb Qt p\n\ 
  255     rbox 10 D2 | qhull d Qu QJ m              rbox 10 D2 | qhull v Qu QJ o\n\ 
  256     rbox c d D2 | qhull Qc s f Fx | more      rbox c | qhull FV n | qhull H Fp\n\ 
  257     rbox d D12 | qhull QR0 FA                 rbox c D7 | qhull FA TF1000\n\ 
  258     rbox y 1000 W0 | qhull                    rbox c | qhull n\n\ 
  271 Except for 'F.' and 'PG', upper-case options take an argument.\n\ 
  273  delaunay       voronoi        Geomview       Halfspace      facet_dump\n\ 
  274  incidences     mathematica    normals        OFF_format     points\n\ 
  277  Farea          FArea-total    Fcoplanars     FCentrums      Fd-cdd-in\n\ 
  278  FD-cdd-out     FF-dump-xridge Finner         FIDs           Fmerges\n\ 
  279  Fneighbors     FNeigh-vertex  Fouter         FOptions       Fpoint-intersect\n\ 
  280  FPoint_near    FQhull         Fsummary       FSize          Ftriangles\n\ 
  281  Fvertices      Fvoronoi       FVertex-ave    Fxtremes       FMaple\n\ 
  283  Gvertices      Gpoints        Gall_points    Gno_planes     Ginner\n\ 
  284  Gcentrums      Ghyperplanes   Gridges        Gouter         GDrop_dim\n\ 
  287  PArea-keep     Pdrop d0:0D0   Pgood          PFacet_area_keep\n\ 
  288  PGood_neighbors PMerge-keep   Poutput_forced Pprecision_not\n\ 
  290  QbBound 0:0.5  Qbk:0Bk:0_drop QbB-scale-box  Qbb-scale-last Qcoplanar\n\ 
  291  Qfurthest      Qgood_only     QGood_point    Qinterior      Qmax_out\n\ 
  292  QJoggle        Qrandom        QRotate        Qsearch_1st    Qtriangulate\n\ 
  293  QupperDelaunay QVertex_good   Qvneighbors    Qxact_merge    Qzinfinite\n\ 
  295  Q0_no_premerge Q1_no_angle    Q2_no_independ Q3_no_redundant Q4_no_old\n\ 
  296  Q5_no_check_out Q6_no_concave Q7_depth_first Q8_no_near_in  Q9_pick_furthest\n\ 
  297  Q10_no_narrow  Q11_trinormals Q12_no_wide_dup\n\ 
  299  T4_trace       Tannotate      Tcheck_often   Tstatistics    Tverify\n\ 
  300  Tz_stdout      TFacet_log     TInput_file    TPoint_trace   TMerge_trace\n\ 
  301  TOutput_file   TRerun         TWide_trace    TVertex_stop   TCone_stop\n\ 
  303  Angle_max      Centrum_size   Error_round    Random_dist    Visible_min\n\ 
  304  Ucoplanar_max  Wide_outside\n\ 
  322 int main(
int argc, 
char *argv[]) {
 
  323   int curlong, totlong; 
 
  324   int exitcode, numpoints, 
dim;
 
  330   if ((argc == 1) && 
isatty( 0 )) {
 
  334   if (argc > 1 && *argv[1] == 
'-' && !*(argv[1]+1)) {
 
  339   if (argc > 1 && *argv[1] == 
'.' && !*(argv[1]+1)) {
 
  343   if (argc > 1 && *argv[1] == 
'-' && *(argv[1]+1)==
'V') {
 
  347   qh_init_A(stdin, stdout, stderr, argc, argv);  
 
  348   exitcode= setjmp(
qh errexit); 
 
  356     if (
qh VERIFYoutput && !
qh FORCEoutput && !
qh STOPpoint && !
qh STOPcone)
 
  366   if (curlong || totlong)
 
  367     qh_fprintf_stderr(6263, 
"qhull internal warning (main): did not free %d bytes of long memory(%d pieces)\n",
 
  
void qh_fprintf_stderr(int msgcode, const char *fmt,...)
void qh_check_output(void)
void qh_check_points(void)
void qh_init_A(FILE *infile, FILE *outfile, FILE *errfile, int argc, char *argv[])
void qh_freeqhull(boolT allmem)
coordT * qh_readpoints(int *numpoints, int *dimension, boolT *ismalloc)
void qh_produce_output(void)
int main(int argc, char *argv[])
void qh_memfreeshort(int *curlong, int *totlong)
void qh_initflags(char *command)
void qh_init_B(coordT *points, int numpoints, int dim, boolT ismalloc)
hpp-fcl
Author(s): 
autogenerated on Fri Feb 14 2025 03:45:51