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539 lines
20 KiB
C
539 lines
20 KiB
C
/*<html><pre> -<a href="qh-user.htm"
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>-------------------------------</a><a name="TOP">-</a>
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user.c
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user redefinable functions
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see user2.c for qh_fprintf, qh_malloc, qh_free
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see README.txt see COPYING.txt for copyright information.
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see libqhull.h for data structures, macros, and user-callable functions.
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see user_eg.c, user_eg2.c, and unix.c for examples.
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see user.h for user-definable constants
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use qh_NOmem in mem.h to turn off memory management
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use qh_NOmerge in user.h to turn off facet merging
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set qh_KEEPstatistics in user.h to 0 to turn off statistics
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This is unsupported software. You're welcome to make changes,
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but you're on your own if something goes wrong. Use 'Tc' to
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check frequently. Usually qhull will report an error if
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a data structure becomes inconsistent. If so, it also reports
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the last point added to the hull, e.g., 102. You can then trace
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the execution of qhull with "T4P102".
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Please report any errors that you fix to qhull@qhull.org
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Qhull-template is a template for calling qhull from within your application
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if you recompile and load this module, then user.o will not be loaded
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from qhull.a
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you can add additional quick allocation sizes in qh_user_memsizes
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if the other functions here are redefined to not use qh_print...,
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then io.o will not be loaded from qhull.a. See user_eg.c for an
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example. We recommend keeping io.o for the extra debugging
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information it supplies.
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*/
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#include "qhull_a.h"
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#include <stdarg.h>
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/*-<a href="qh-user.htm#TOC"
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>-------------------------------</a><a name="qhull_template">-</a>
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Qhull-template
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Template for calling qhull from inside your program
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returns:
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exit code(see qh_ERR... in libqhull.h)
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all memory freed
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notes:
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This can be called any number of times.
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*/
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#if 0
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{
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int dim; /* dimension of points */
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int numpoints; /* number of points */
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coordT *points; /* array of coordinates for each point */
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boolT ismalloc; /* True if qhull should free points in qh_freeqhull() or reallocation */
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char flags[]= "qhull Tv"; /* option flags for qhull, see qh_opt.htm */
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FILE *outfile= stdout; /* output from qh_produce_output()
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use NULL to skip qh_produce_output() */
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FILE *errfile= stderr; /* error messages from qhull code */
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int exitcode; /* 0 if no error from qhull */
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facetT *facet; /* set by FORALLfacets */
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int curlong, totlong; /* memory remaining after qh_memfreeshort */
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QHULL_LIB_CHECK /* Check for compatible library */
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#if qh_QHpointer /* see user.h */
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if (qh_qh){ /* should be NULL */
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qh_printf_stderr(6238, "Qhull link error. The global variable qh_qh was not initialized\n\
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to NULL by global.c. Please compile this program with -Dqh_QHpointer_dllimport\n\
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as well as -Dqh_QHpointer, or use libqhullstatic, or use a different tool chain.\n\n");
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exit(1);
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}
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#endif
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/* initialize dim, numpoints, points[], ismalloc here */
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exitcode= qh_new_qhull(dim, numpoints, points, ismalloc,
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flags, outfile, errfile);
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if (!exitcode) { /* if no error */
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/* 'qh facet_list' contains the convex hull */
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FORALLfacets {
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/* ... your code ... */
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}
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}
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qh_freeqhull(!qh_ALL);
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qh_memfreeshort(&curlong, &totlong);
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if (curlong || totlong)
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qh_fprintf(errfile, 7068, "qhull internal warning (main): did not free %d bytes of long memory(%d pieces)\n", totlong, curlong);
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}
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#endif
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/*-<a href="qh-user.htm#TOC"
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>-------------------------------</a><a name="new_qhull">-</a>
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qh_new_qhull( dim, numpoints, points, ismalloc, qhull_cmd, outfile, errfile )
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build new qhull data structure and return exitcode (0 if no errors)
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if numpoints=0 and points=NULL, initializes qhull
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notes:
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do not modify points until finished with results.
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The qhull data structure contains pointers into the points array.
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do not call qhull functions before qh_new_qhull().
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The qhull data structure is not initialized until qh_new_qhull().
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Default errfile is stderr, outfile may be null
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qhull_cmd must start with "qhull "
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projects points to a new point array for Delaunay triangulations ('d' and 'v')
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transforms points into a new point array for halfspace intersection ('H')
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To allow multiple, concurrent calls to qhull()
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- set qh_QHpointer in user.h
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- use qh_save_qhull and qh_restore_qhull to swap the global data structure between calls.
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- use qh_freeqhull(qh_ALL) to free intermediate convex hulls
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see:
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Qhull-template at the beginning of this file.
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An example of using qh_new_qhull is user_eg.c
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*/
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int qh_new_qhull(int dim, int numpoints, coordT *points, boolT ismalloc,
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char *qhull_cmd, FILE *outfile, FILE *errfile) {
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/* gcc may issue a "might be clobbered" warning for dim, points, and ismalloc [-Wclobbered].
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These parameters are not referenced after a longjmp() and hence not clobbered.
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See http://stackoverflow.com/questions/7721854/what-sense-do-these-clobbered-variable-warnings-make */
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int exitcode, hulldim;
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boolT new_ismalloc;
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static boolT firstcall = True;
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coordT *new_points;
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if(!errfile){
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errfile= stderr;
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}
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if (firstcall) {
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qh_meminit(errfile);
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firstcall= False;
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} else {
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qh_memcheck();
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}
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if (strncmp(qhull_cmd, "qhull ", (size_t)6)) {
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qh_fprintf(errfile, 6186, "qhull error (qh_new_qhull): start qhull_cmd argument with \"qhull \"\n");
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return qh_ERRinput;
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}
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qh_initqhull_start(NULL, outfile, errfile);
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if(numpoints==0 && points==NULL){
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trace1((qh ferr, 1047, "qh_new_qhull: initialize Qhull\n"));
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return 0;
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}
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trace1((qh ferr, 1044, "qh_new_qhull: build new Qhull for %d %d-d points with %s\n", numpoints, dim, qhull_cmd));
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exitcode = setjmp(qh errexit);
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if (!exitcode)
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{
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qh NOerrexit = False;
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qh_initflags(qhull_cmd);
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if (qh DELAUNAY)
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qh PROJECTdelaunay= True;
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if (qh HALFspace) {
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/* points is an array of halfspaces,
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the last coordinate of each halfspace is its offset */
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hulldim= dim-1;
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qh_setfeasible(hulldim);
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new_points= qh_sethalfspace_all(dim, numpoints, points, qh feasible_point);
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new_ismalloc= True;
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if (ismalloc)
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qh_free(points);
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}else {
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hulldim= dim;
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new_points= points;
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new_ismalloc= ismalloc;
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}
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qh_init_B(new_points, numpoints, hulldim, new_ismalloc);
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qh_qhull();
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qh_check_output();
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if (outfile) {
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qh_produce_output();
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}else {
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qh_prepare_output();
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}
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if (qh VERIFYoutput && !qh STOPpoint && !qh STOPcone)
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qh_check_points();
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}
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qh NOerrexit = True;
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return exitcode;
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} /* new_qhull */
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/*-<a href="qh-user.htm#TOC"
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>-------------------------------</a><a name="errexit">-</a>
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qh_errexit( exitcode, facet, ridge )
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report and exit from an error
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report facet and ridge if non-NULL
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reports useful information such as last point processed
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set qh.FORCEoutput to print neighborhood of facet
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see:
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qh_errexit2() in libqhull.c for printing 2 facets
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design:
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check for error within error processing
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compute qh.hulltime
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print facet and ridge (if any)
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report commandString, options, qh.furthest_id
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print summary and statistics (including precision statistics)
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if qh_ERRsingular
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print help text for singular data set
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exit program via long jump (if defined) or exit()
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*/
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void qh_errexit(int exitcode, facetT *facet, ridgeT *ridge) {
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if (qh ERREXITcalled) {
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qh_fprintf(qh ferr, 8126, "\nqhull error while processing previous error. Exit program\n");
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qh_exit(qh_ERRqhull);
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}
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qh ERREXITcalled= True;
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if (!qh QHULLfinished)
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qh hulltime= qh_CPUclock - qh hulltime;
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qh_errprint("ERRONEOUS", facet, NULL, ridge, NULL);
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qh_fprintf(qh ferr, 8127, "\nWhile executing: %s | %s\n", qh rbox_command, qh qhull_command);
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qh_fprintf(qh ferr, 8128, "Options selected for Qhull %s:\n%s\n", qh_version, qh qhull_options);
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if (qh furthest_id >= 0) {
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qh_fprintf(qh ferr, 8129, "Last point added to hull was p%d.", qh furthest_id);
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if (zzval_(Ztotmerge))
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qh_fprintf(qh ferr, 8130, " Last merge was #%d.", zzval_(Ztotmerge));
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if (qh QHULLfinished)
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qh_fprintf(qh ferr, 8131, "\nQhull has finished constructing the hull.");
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else if (qh POSTmerging)
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qh_fprintf(qh ferr, 8132, "\nQhull has started post-merging.");
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qh_fprintf(qh ferr, 8133, "\n");
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}
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if (qh FORCEoutput && (qh QHULLfinished || (!facet && !ridge)))
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qh_produce_output();
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else if (exitcode != qh_ERRinput) {
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if (exitcode != qh_ERRsingular && zzval_(Zsetplane) > qh hull_dim+1) {
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qh_fprintf(qh ferr, 8134, "\nAt error exit:\n");
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qh_printsummary(qh ferr);
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if (qh PRINTstatistics) {
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qh_collectstatistics();
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qh_printstatistics(qh ferr, "at error exit");
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qh_memstatistics(qh ferr);
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}
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}
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if (qh PRINTprecision)
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qh_printstats(qh ferr, qhstat precision, NULL);
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}
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if (!exitcode)
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exitcode= qh_ERRqhull;
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else if (exitcode == qh_ERRsingular)
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qh_printhelp_singular(qh ferr);
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else if (exitcode == qh_ERRprec && !qh PREmerge)
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qh_printhelp_degenerate(qh ferr);
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if (qh NOerrexit) {
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qh_fprintf(qh ferr, 6187, "qhull error while ending program, or qh->NOerrexit not cleared after setjmp(). Exit program with error.\n");
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qh_exit(qh_ERRqhull);
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}
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qh ERREXITcalled= False;
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qh NOerrexit= True;
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qh ALLOWrestart= False; /* longjmp will undo qh_build_withrestart */
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longjmp(qh errexit, exitcode);
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} /* errexit */
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/*-<a href="qh-user.htm#TOC"
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>-------------------------------</a><a name="errprint">-</a>
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qh_errprint( fp, string, atfacet, otherfacet, atridge, atvertex )
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prints out the information of facets and ridges to fp
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also prints neighbors and geomview output
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notes:
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except for string, any parameter may be NULL
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*/
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void qh_errprint(const char *string, facetT *atfacet, facetT *otherfacet, ridgeT *atridge, vertexT *atvertex) {
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int i;
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if (atfacet) {
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qh_fprintf(qh ferr, 8135, "%s FACET:\n", string);
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qh_printfacet(qh ferr, atfacet);
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}
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if (otherfacet) {
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qh_fprintf(qh ferr, 8136, "%s OTHER FACET:\n", string);
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qh_printfacet(qh ferr, otherfacet);
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}
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if (atridge) {
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qh_fprintf(qh ferr, 8137, "%s RIDGE:\n", string);
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qh_printridge(qh ferr, atridge);
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if (atridge->top && atridge->top != atfacet && atridge->top != otherfacet)
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qh_printfacet(qh ferr, atridge->top);
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if (atridge->bottom
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&& atridge->bottom != atfacet && atridge->bottom != otherfacet)
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qh_printfacet(qh ferr, atridge->bottom);
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if (!atfacet)
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atfacet= atridge->top;
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if (!otherfacet)
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otherfacet= otherfacet_(atridge, atfacet);
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}
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if (atvertex) {
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qh_fprintf(qh ferr, 8138, "%s VERTEX:\n", string);
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qh_printvertex(qh ferr, atvertex);
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}
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if (qh fout && qh FORCEoutput && atfacet && !qh QHULLfinished && !qh IStracing) {
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qh_fprintf(qh ferr, 8139, "ERRONEOUS and NEIGHBORING FACETS to output\n");
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for (i=0; i < qh_PRINTEND; i++) /* use fout for geomview output */
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qh_printneighborhood(qh fout, qh PRINTout[i], atfacet, otherfacet,
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!qh_ALL);
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}
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} /* errprint */
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/*-<a href="qh-user.htm#TOC"
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>-------------------------------</a><a name="printfacetlist">-</a>
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qh_printfacetlist( fp, facetlist, facets, printall )
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print all fields for a facet list and/or set of facets to fp
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if !printall,
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only prints good facets
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notes:
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also prints all vertices
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*/
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void qh_printfacetlist(facetT *facetlist, setT *facets, boolT printall) {
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facetT *facet, **facetp;
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qh_printbegin(qh ferr, qh_PRINTfacets, facetlist, facets, printall);
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FORALLfacet_(facetlist)
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qh_printafacet(qh ferr, qh_PRINTfacets, facet, printall);
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FOREACHfacet_(facets)
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qh_printafacet(qh ferr, qh_PRINTfacets, facet, printall);
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qh_printend(qh ferr, qh_PRINTfacets, facetlist, facets, printall);
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} /* printfacetlist */
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/*-<a href="qh-io.htm#TOC"
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>-------------------------------</a><a name="printhelp_degenerate">-</a>
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qh_printhelp_degenerate( fp )
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prints descriptive message for precision error
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notes:
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no message if qh_QUICKhelp
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*/
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void qh_printhelp_degenerate(FILE *fp) {
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if (qh MERGEexact || qh PREmerge || qh JOGGLEmax < REALmax/2)
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qh_fprintf(fp, 9368, "\n\
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A Qhull error has occurred. Qhull should have corrected the above\n\
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precision error. Please send the input and all of the output to\n\
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qhull_bug@qhull.org\n");
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else if (!qh_QUICKhelp) {
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qh_fprintf(fp, 9369, "\n\
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Precision problems were detected during construction of the convex hull.\n\
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This occurs because convex hull algorithms assume that calculations are\n\
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exact, but floating-point arithmetic has roundoff errors.\n\
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\n\
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To correct for precision problems, do not use 'Q0'. By default, Qhull\n\
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selects 'C-0' or 'Qx' and merges non-convex facets. With option 'QJ',\n\
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Qhull joggles the input to prevent precision problems. See \"Imprecision\n\
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in Qhull\" (qh-impre.htm).\n\
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\n\
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If you use 'Q0', the output may include\n\
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coplanar ridges, concave ridges, and flipped facets. In 4-d and higher,\n\
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Qhull may produce a ridge with four neighbors or two facets with the same \n\
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vertices. Qhull reports these events when they occur. It stops when a\n\
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concave ridge, flipped facet, or duplicate facet occurs.\n");
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#if REALfloat
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qh_fprintf(fp, 9370, "\
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\n\
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Qhull is currently using single precision arithmetic. The following\n\
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will probably remove the precision problems:\n\
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- recompile qhull for realT precision(#define REALfloat 0 in user.h).\n");
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#endif
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if (qh DELAUNAY && !qh SCALElast && qh MAXabs_coord > 1e4)
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qh_fprintf(fp, 9371, "\
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\n\
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When computing the Delaunay triangulation of coordinates > 1.0,\n\
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- use 'Qbb' to scale the last coordinate to [0,m] (max previous coordinate)\n");
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if (qh DELAUNAY && !qh ATinfinity)
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qh_fprintf(fp, 9372, "\
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When computing the Delaunay triangulation:\n\
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- use 'Qz' to add a point at-infinity. This reduces precision problems.\n");
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qh_fprintf(fp, 9373, "\
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\n\
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If you need triangular output:\n\
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- use option 'Qt' to triangulate the output\n\
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- use option 'QJ' to joggle the input points and remove precision errors\n\
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- use option 'Ft'. It triangulates non-simplicial facets with added points.\n\
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\n\
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If you must use 'Q0',\n\
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try one or more of the following options. They can not guarantee an output.\n\
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- use 'QbB' to scale the input to a cube.\n\
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- use 'Po' to produce output and prevent partitioning for flipped facets\n\
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- use 'V0' to set min. distance to visible facet as 0 instead of roundoff\n\
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- use 'En' to specify a maximum roundoff error less than %2.2g.\n\
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- options 'Qf', 'Qbb', and 'QR0' may also help\n",
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qh DISTround);
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qh_fprintf(fp, 9374, "\
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\n\
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To guarantee simplicial output:\n\
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- use option 'Qt' to triangulate the output\n\
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- use option 'QJ' to joggle the input points and remove precision errors\n\
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- use option 'Ft' to triangulate the output by adding points\n\
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- use exact arithmetic (see \"Imprecision in Qhull\", qh-impre.htm)\n\
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");
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}
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} /* printhelp_degenerate */
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/*-<a href="qh-globa.htm#TOC"
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>-------------------------------</a><a name="printhelp_narrowhull">-</a>
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qh_printhelp_narrowhull( minangle )
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Warn about a narrow hull
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notes:
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Alternatively, reduce qh_WARNnarrow in user.h
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*/
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void qh_printhelp_narrowhull(FILE *fp, realT minangle) {
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qh_fprintf(fp, 9375, "qhull precision warning: \n\
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The initial hull is narrow (cosine of min. angle is %.16f).\n\
|
|
Is the input lower dimensional (e.g., on a plane in 3-d)? Qhull may\n\
|
|
produce a wide facet. Options 'QbB' (scale to unit box) or 'Qbb' (scale\n\
|
|
last coordinate) may remove this warning. Use 'Pp' to skip this warning.\n\
|
|
See 'Limitations' in qh-impre.htm.\n",
|
|
-minangle); /* convert from angle between normals to angle between facets */
|
|
} /* printhelp_narrowhull */
|
|
|
|
/*-<a href="qh-io.htm#TOC"
|
|
>-------------------------------</a><a name="printhelp_singular">-</a>
|
|
|
|
qh_printhelp_singular( fp )
|
|
prints descriptive message for singular input
|
|
*/
|
|
void qh_printhelp_singular(FILE *fp) {
|
|
facetT *facet;
|
|
vertexT *vertex, **vertexp;
|
|
realT min, max, *coord, dist;
|
|
int i,k;
|
|
|
|
qh_fprintf(fp, 9376, "\n\
|
|
The input to qhull appears to be less than %d dimensional, or a\n\
|
|
computation has overflowed.\n\n\
|
|
Qhull could not construct a clearly convex simplex from points:\n",
|
|
qh hull_dim);
|
|
qh_printvertexlist(fp, "", qh facet_list, NULL, qh_ALL);
|
|
if (!qh_QUICKhelp)
|
|
qh_fprintf(fp, 9377, "\n\
|
|
The center point is coplanar with a facet, or a vertex is coplanar\n\
|
|
with a neighboring facet. The maximum round off error for\n\
|
|
computing distances is %2.2g. The center point, facets and distances\n\
|
|
to the center point are as follows:\n\n", qh DISTround);
|
|
qh_printpointid(fp, "center point", qh hull_dim, qh interior_point, qh_IDunknown);
|
|
qh_fprintf(fp, 9378, "\n");
|
|
FORALLfacets {
|
|
qh_fprintf(fp, 9379, "facet");
|
|
FOREACHvertex_(facet->vertices)
|
|
qh_fprintf(fp, 9380, " p%d", qh_pointid(vertex->point));
|
|
zinc_(Zdistio);
|
|
qh_distplane(qh interior_point, facet, &dist);
|
|
qh_fprintf(fp, 9381, " distance= %4.2g\n", dist);
|
|
}
|
|
if (!qh_QUICKhelp) {
|
|
if (qh HALFspace)
|
|
qh_fprintf(fp, 9382, "\n\
|
|
These points are the dual of the given halfspaces. They indicate that\n\
|
|
the intersection is degenerate.\n");
|
|
qh_fprintf(fp, 9383,"\n\
|
|
These points either have a maximum or minimum x-coordinate, or\n\
|
|
they maximize the determinant for k coordinates. Trial points\n\
|
|
are first selected from points that maximize a coordinate.\n");
|
|
if (qh hull_dim >= qh_INITIALmax)
|
|
qh_fprintf(fp, 9384, "\n\
|
|
Because of the high dimension, the min x-coordinate and max-coordinate\n\
|
|
points are used if the determinant is non-zero. Option 'Qs' will\n\
|
|
do a better, though much slower, job. Instead of 'Qs', you can change\n\
|
|
the points by randomly rotating the input with 'QR0'.\n");
|
|
}
|
|
qh_fprintf(fp, 9385, "\nThe min and max coordinates for each dimension are:\n");
|
|
for (k=0; k < qh hull_dim; k++) {
|
|
min= REALmax;
|
|
max= -REALmin;
|
|
for (i=qh num_points, coord= qh first_point+k; i--; coord += qh hull_dim) {
|
|
maximize_(max, *coord);
|
|
minimize_(min, *coord);
|
|
}
|
|
qh_fprintf(fp, 9386, " %d: %8.4g %8.4g difference= %4.4g\n", k, min, max, max-min);
|
|
}
|
|
if (!qh_QUICKhelp) {
|
|
qh_fprintf(fp, 9387, "\n\
|
|
If the input should be full dimensional, you have several options that\n\
|
|
may determine an initial simplex:\n\
|
|
- use 'QJ' to joggle the input and make it full dimensional\n\
|
|
- use 'QbB' to scale the points to the unit cube\n\
|
|
- use 'QR0' to randomly rotate the input for different maximum points\n\
|
|
- use 'Qs' to search all points for the initial simplex\n\
|
|
- use 'En' to specify a maximum roundoff error less than %2.2g.\n\
|
|
- trace execution with 'T3' to see the determinant for each point.\n",
|
|
qh DISTround);
|
|
#if REALfloat
|
|
qh_fprintf(fp, 9388, "\
|
|
- recompile qhull for realT precision(#define REALfloat 0 in libqhull.h).\n");
|
|
#endif
|
|
qh_fprintf(fp, 9389, "\n\
|
|
If the input is lower dimensional:\n\
|
|
- use 'QJ' to joggle the input and make it full dimensional\n\
|
|
- use 'Qbk:0Bk:0' to delete coordinate k from the input. You should\n\
|
|
pick the coordinate with the least range. The hull will have the\n\
|
|
correct topology.\n\
|
|
- determine the flat containing the points, rotate the points\n\
|
|
into a coordinate plane, and delete the other coordinates.\n\
|
|
- add one or more points to make the input full dimensional.\n\
|
|
");
|
|
}
|
|
} /* printhelp_singular */
|
|
|
|
/*-<a href="qh-globa.htm#TOC"
|
|
>-------------------------------</a><a name="user_memsizes">-</a>
|
|
|
|
qh_user_memsizes()
|
|
allocate up to 10 additional, quick allocation sizes
|
|
|
|
notes:
|
|
increase maximum number of allocations in qh_initqhull_mem()
|
|
*/
|
|
void qh_user_memsizes(void) {
|
|
|
|
/* qh_memsize(size); */
|
|
} /* user_memsizes */
|
|
|
|
|