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   30 #define isatty _isatty 
   48 qhull- compute convex hulls and related structures.\n\ 
   49     http://www.qhull.org  %s\n\ 
   52     first lines: dimension and number of points (or vice-versa).\n\ 
   53     other lines: point coordinates, best if one point per line\n\ 
   54     comments:    start with a non-numeric character\n\ 
   55     halfspaces:  use dim plus one and put offset after coefficients.\n\ 
   56                  May be preceded by a single interior point ('H').\n\ 
   59     d    - Delaunay triangulation by lifting points to a paraboloid\n\ 
   60     d Qu - furthest-site Delaunay triangulation (upper convex hull)\n\ 
   61     v    - Voronoi diagram (dual of the Delaunay triangulation)\n\ 
   62     v Qu - furthest-site Voronoi diagram\n\ 
   63     Hn,n,... - halfspace intersection about point [n,n,0,...]\n\ 
   64     Qt   - triangulated output\n\ 
   65     QJ   - joggled input instead of merged facets\n\ 
   66     Qc   - keep coplanar points with nearest facet\n\ 
   67     Qi   - keep interior points with nearest facet\n\ 
   69 Qhull control options:\n\ 
   70     Qbk:n   - scale coord k so that low bound is n\n\ 
   71       QBk:n - scale coord k so that upper bound is n (QBk is %2.2g)\n\ 
   72     QbB  - scale input to unit cube centered at the origin\n\ 
   73     Qbb  - scale last coordinate to [0,m] for Delaunay triangulations\n\ 
   74     Qbk:0Bk:0 - remove k-th coordinate from input\n\ 
   75     QJn  - randomly joggle input in range [-n,n]\n\ 
   76     QRn  - random rotation (n=seed, n=0 time, n=-1 time/no rotate)\n\ 
   79     Qf   - partition point to furthest outside facet\n\ 
   80     Qg   - only build good facets (needs 'QGn', 'QVn', or 'PdD')\n\ 
   81     Qm   - only process points that would increase max_outside\n\ 
   82     Qr   - process random outside points instead of furthest ones\n\ 
   83     Qs   - search all points for the initial simplex\n\ 
   84     Qu   - for 'd' or 'v', compute upper hull without point at-infinity\n\ 
   85               returns furthest-site Delaunay triangulation\n\ 
   86     Qv   - test vertex neighbors for convexity\n\ 
   87     Qx   - exact pre-merges (skips coplanar and angle-coplanar facets)\n\ 
   88     Qz   - add point-at-infinity to Delaunay triangulation\n\ 
   89     QGn  - good facet if visible from point n, -n for not visible\n\ 
   90     QVn  - good facet if it includes point n, -n if not\n\ 
   91     Q0   - turn off default premerge with 'C-0'/'Qx'\n\ 
   92     Q1     - sort merges by type instead of angle\n\ 
   93     Q2   - merge all non-convex at once instead of independent sets\n\ 
   94     Q3   - do not merge redundant vertices\n\ 
   95     Q4   - avoid old->new merges\n\ 
   96     Q5   - do not correct outer planes at end of qhull\n\ 
   97     Q6   - do not pre-merge concave or coplanar facets\n\ 
   98     Q7   - depth-first processing instead of breadth-first\n\ 
   99     Q8   - do not process near-inside points\n\ 
  100     Q9   - process furthest of furthest points\n\ 
  101     Q10  - no special processing for narrow distributions\n\ 
  102     Q11  - copy normals and recompute centrums for tricoplanar facets\n\ 
  103     Q12  - no error on wide merge due to duplicate ridge\n\ 
  107 Topts- Trace options:\n\ 
  108     T4   - trace at level n, 4=all, 5=mem/gauss, -1= events\n\ 
  109     Ta   - annotate output with message codes\n\ 
  110     Tc   - check frequently during execution\n\ 
  111     Ts   - print statistics\n\ 
  112     Tv   - verify result: structure, convexity, and point inclusion\n\ 
  113     Tz   - send all output to stdout\n\ 
  114     TFn  - report summary when n or more facets created\n\ 
  115     TI file - input data from file, no spaces or single quotes\n\ 
  116     TO file - output results to file, may be enclosed in single quotes\n\ 
  117     TPn  - turn on tracing when point n added to hull\n\ 
  118      TMn - turn on tracing at merge n\n\ 
  119      TWn - trace merge facets when width > n\n\ 
  120     TRn  - rerun qhull n times.  Use with 'QJn'\n\ 
  121     TVn  - stop qhull after adding point n, -n for before (see TCn)\n\ 
  122      TCn - stop qhull after building cone for point n (see TVn)\n\ 
  124 Precision options:\n\ 
  125     Cn   - radius of centrum (roundoff added).  Merge facets if non-convex\n\ 
  126      An  - cosine of maximum angle.  Merge facets if cosine > n or non-convex\n\ 
  127            C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge\n\ 
  128     En   - max roundoff error for distance computation\n\ 
  129     Rn   - randomly perturb computations by a factor of [1-n,1+n]\n\ 
  130     Vn   - min distance above plane for a visible facet (default 3C-n or En)\n\ 
  131     Un   - max distance below plane for a new, coplanar point (default Vn)\n\ 
  132     Wn   - min facet width for outside point (before roundoff, default 2Vn)\n\ 
  134 Output formats (may be combined; if none, produces a summary to stdout):\n\ 
  136     G    - Geomview output (see below)\n\ 
  137     i    - vertices incident to each facet\n\ 
  138     m    - Mathematica output (2-d and 3-d)\n\ 
  139     o    - OFF format (dim, points and facets; Voronoi regions)\n\ 
  140     n    - normals with offsets\n\ 
  141     p    - vertex coordinates or Voronoi vertices (coplanar points if 'Qc')\n\ 
  142     s    - summary (stderr)\n\ 
  147     Fa   - area for each facet\n\ 
  148     FA   - compute total area and volume for option 's'\n\ 
  149     Fc   - count plus coplanar points for each facet\n\ 
  150            use 'Qc' (default) for coplanar and 'Qi' for interior\n\ 
  151     FC   - centrum or Voronoi center for each facet\n\ 
  152     Fd   - use cdd format for input (homogeneous with offset first)\n\ 
  153     FD   - use cdd format for numeric output (offset first)\n\ 
  154     FF   - facet dump without ridges\n\ 
  155     Fi   - inner plane for each facet\n\ 
  156            for 'v', separating hyperplanes for bounded Voronoi regions\n\ 
  157     FI   - ID of each facet\n\ 
  158     Fm   - merge count for each facet (511 max)\n\ 
  159     FM   - Maple output (2-d and 3-d)\n\ 
  160     Fn   - count plus neighboring facets for each facet\n\ 
  161     FN   - count plus neighboring facets for each point\n\ 
  162     Fo   - outer plane (or max_outside) for each facet\n\ 
  163            for 'v', separating hyperplanes for unbounded Voronoi regions\n\ 
  164     FO   - options and precision constants\n\ 
  165     Fp   - dim, count, and intersection coordinates (halfspace only)\n\ 
  166     FP   - nearest vertex and distance for each coplanar point\n\ 
  167     FQ   - command used for qhull\n\ 
  168     Fs   - summary: #int (8), dimension, #points, tot vertices, tot facets,\n\ 
  169                       output: #vertices, #facets, #coplanars, #nonsimplicial\n\ 
  170                     #real (2), max outer plane, min vertex\n\ 
  171     FS   - sizes:   #int (0)\n\ 
  172                     #real (2) tot area, tot volume\n\ 
  173     Ft   - triangulation with centrums for non-simplicial facets (OFF format)\n\ 
  174     Fv   - count plus vertices for each facet\n\ 
  175            for 'v', Voronoi diagram as Voronoi vertices for pairs of sites\n\ 
  176     FV   - average of vertices (a feasible point for 'H')\n\ 
  177     Fx   - extreme points (in order for 2-d)\n\ 
  181 Geomview options (2-d, 3-d, and 4-d; 2-d Voronoi)\n\ 
  182     Ga   - all points as dots\n\ 
  183      Gp  -  coplanar points and vertices as radii\n\ 
  184      Gv  -  vertices as spheres\n\ 
  185     Gi   - inner planes only\n\ 
  187      Go  -  outer planes only\n\ 
  189     Gh   - hyperplane intersections\n\ 
  191     GDn  - drop dimension n in 3-d and 4-d output\n\ 
  192     Gt   - for 3-d 'd', transparent outer ridges\n\ 
  195     PAn  - keep n largest facets by area\n\ 
  196     Pdk:n - drop facet if normal[k] <= n (default 0.0)\n\ 
  197     PDk:n - drop facet if normal[k] >= n\n\ 
  198     Pg   - print good facets (needs 'QGn' or 'QVn')\n\ 
  199     PFn  - keep facets whose area is at least n\n\ 
  200     PG   - print neighbors of good facets\n\ 
  201     PMn  - keep n facets with most merges\n\ 
  202     Po   - force output.  If error, output neighborhood of facet\n\ 
  203     Pp   - do not report precision problems\n\ 
  205     .    - list of all options\n\ 
  206     -    - one line descriptions of all options\n\ 
  218 qhull- compute convex hulls and related structures.  Qhull %s\n\ 
  219     input (stdin): dimension, n, point coordinates\n\ 
  220     comments start with a non-numeric character\n\ 
  221     halfspace: use dim+1 and put offsets after coefficients\n\ 
  223 options (qh-quick.htm):\n\ 
  224     d    - Delaunay triangulation by lifting points to a paraboloid\n\ 
  225     d Qu - furthest-site Delaunay triangulation (upper convex hull)\n\ 
  226     v    - Voronoi diagram as the dual of the Delaunay triangulation\n\ 
  227     v Qu - furthest-site Voronoi diagram\n\ 
  228     H1,1 - Halfspace intersection about [1,1,0,...] via polar duality\n\ 
  229     Qt   - triangulated output\n\ 
  230     QJ   - joggled input instead of merged facets\n\ 
  231     Tv   - verify result: structure, convexity, and point inclusion\n\ 
  232     .    - concise list of all options\n\ 
  233     -    - one-line description of each option\n\ 
  236 Output options (subset):\n\ 
  237     s    - summary of results (default)\n\ 
  238     i    - vertices incident to each facet\n\ 
  239     n    - normals with offsets\n\ 
  240     p    - vertex coordinates (if 'Qc', includes coplanar points)\n\ 
  241            if 'v', Voronoi vertices\n\ 
  242     Fp   - halfspace intersections\n\ 
  243     Fx   - extreme points (convex hull vertices)\n\ 
  244     FA   - compute total area and volume\n\ 
  245     o    - OFF format (if 'v', outputs Voronoi regions)\n\ 
  246     G    - Geomview output (2-d, 3-d and 4-d)\n\ 
  247     m    - Mathematica output (2-d and 3-d)\n\ 
  248     QVn  - print facets that include point n, -n if not\n\ 
  249     TO file- output results to file, may be enclosed in single quotes\n\ 
  252     rbox D4 | qhull Tv                        rbox 1000 s | qhull Tv s FA\n\ 
  253     rbox 10 D2 | qhull d QJ s i TO result     rbox 10 D2 | qhull v Qbb Qt p\n\ 
  254     rbox 10 D2 | qhull d Qu QJ m              rbox 10 D2 | qhull v Qu QJ o\n\ 
  255     rbox c d D2 | qhull Qc s f Fx | more      rbox c | qhull FV n | qhull H Fp\n\ 
  256     rbox d D12 | qhull QR0 FA                 rbox c D7 | qhull FA TF1000\n\ 
  257     rbox y 1000 W0 | qhull                    rbox c | qhull n\n\ 
  270 Except for 'F.' and 'PG', upper-case options take an argument.\n\ 
  272  delaunay       voronoi        Geomview       Halfspace      facet_dump\n\ 
  273  incidences     mathematica    normals        OFF_format     points\n\ 
  276  Farea          FArea-total    Fcoplanars     FCentrums      Fd-cdd-in\n\ 
  277  FD-cdd-out     FF-dump-xridge Finner         FIDs           Fmerges\n\ 
  278  Fneighbors     FNeigh-vertex  Fouter         FOptions       Fpoint-intersect\n\ 
  279  FPoint_near    FQhull         Fsummary       FSize          Ftriangles\n\ 
  280  Fvertices      Fvoronoi       FVertex-ave    Fxtremes       FMaple\n\ 
  282  Gvertices      Gpoints        Gall_points    Gno_planes     Ginner\n\ 
  283  Gcentrums      Ghyperplanes   Gridges        Gouter         GDrop_dim\n\ 
  286  PArea-keep     Pdrop d0:0D0   Pgood          PFacet_area_keep\n\ 
  287  PGood_neighbors PMerge-keep   Poutput_forced Pprecision_not\n\ 
  289  QbBound 0:0.5  Qbk:0Bk:0_drop QbB-scale-box  Qbb-scale-last Qcoplanar\n\ 
  290  Qfurthest      Qgood_only     QGood_point    Qinterior      Qmax_out\n\ 
  291  QJoggle        Qrandom        QRotate        Qsearch_1st    Qtriangulate\n\ 
  292  QupperDelaunay QVertex_good   Qvneighbors    Qxact_merge    Qzinfinite\n\ 
  294  Q0_no_premerge Q1_no_angle    Q2_no_independ Q3_no_redundant Q4_no_old\n\ 
  295  Q5_no_check_out Q6_no_concave Q7_depth_first Q8_no_near_in  Q9_pick_furthest\n\ 
  296  Q10_no_narrow  Q11_trinormals Q12_no_wide_dup\n\ 
  298  T4_trace       Tannotate      Tcheck_often   Tstatistics    Tverify\n\ 
  299  Tz_stdout      TFacet_log     TInput_file    TPoint_trace   TMerge_trace\n\ 
  300  TOutput_file   TRerun         TWide_trace    TVertex_stop   TCone_stop\n\ 
  302  Angle_max      Centrum_size   Error_round    Random_dist    Visible_min\n\ 
  303  Ucoplanar_max  Wide_outside\n\ 
  321 int main(
int argc, 
char *argv[]) {
 
  322   int curlong, totlong; 
 
  323   int exitcode, numpoints, 
dim;
 
  331   if ((argc == 1) && 
isatty( 0 )) {
 
  335   if (argc > 1 && *argv[1] == 
'-' && !*(argv[1]+1)) {
 
  340   if (argc > 1 && *argv[1] == 
'.' && !*(argv[1]+1)) {
 
  344   if (argc > 1 && *argv[1] == 
'-' && *(argv[1]+1)==
'V') {
 
  349   exitcode= setjmp(
qh->errexit); 
 
  358     if (
qh->VERIFYoutput && !
qh->FORCEoutput && !
qh->STOPpoint && !
qh->STOPcone)
 
  368   if (curlong || totlong)
 
  369     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)
void qh_memfreeshort(int *curlong, int *totlong)
void qh_initflags(char *command)
int main(int argc, char *argv[])
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