?? stat.c
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/*<html><pre> -<a href="qh-c.htm#stat"
>-------------------------------</a><a name="TOP">-</a>
stat.c
contains all statistics that are collected for qhull
see qh-c.htm and stat.h
copyright (c) 1993-1999, The Geometry Center
*/
#include "qhull_a.h"
/*============ global data structure ==========*/
#if qh_QHpointer
qhstatT *qh_qhstat=NULL; /* global data structure */
#else
qhstatT qh_qhstat; /* add "={0}" if this causes a compiler error */
#endif
/*========== functions in alphabetic order ================*/
/*-<a href="qh-c.htm#stat"
>-------------------------------</a><a name="allstatA">-</a>
qh_allstatA()
define statistics in groups of 20
notes:
(otherwise, 'gcc -O2' uses too much memory)
uses qhstat.next
*/
void qh_allstatA (void) {
/* zdef_(type,name,doc,average) */
zzdef_(zdoc, Zdoc2, "precision statistics", -1);
zdef_(zinc, Znewvertex, NULL, -1);
zdef_(wadd, Wnewvertex, "ave. distance of a new vertex to a facet (not 0s)", Znewvertex);
zzdef_(wmax, Wnewvertexmax, "max. distance of a new vertex to a facet", -1);
zdef_(wmax, Wvertexmax, "max. distance of an output vertex to a facet", -1);
zdef_(wmin, Wvertexmin, "min. distance of an output vertex to a facet", -1);
zdef_(wmin, Wmindenom, "min. denominator in hyperplane computation", -1);
qhstat precision= qhstat next; /* call qh_precision for each of these */
zzdef_(zdoc, Zdoc3, "precision problems", -1);
zzdef_(zinc, Zcoplanarridges, "coplanar half ridges in output", -1);
zzdef_(zinc, Zconcaveridges, "concave half ridges in output", -1);
zzdef_(zinc, Zflippedfacets, "flipped facets", -1);
zzdef_(zinc, Zcoplanarhorizon, "coplanar horizon facets for new vertices", -1);
zzdef_(zinc, Zcoplanarpart, "coplanar points during partitioning", -1);
zzdef_(zinc, Zminnorm, "degenerate hyperplanes recomputed with gaussian elimination", -1);
zzdef_(zinc, Znearlysingular, "nearly singular or axis-parallel hyperplanes", -1);
zzdef_(zinc, Zback0, "zero divisors during back substitute", -1);
zzdef_(zinc, Zgauss0, "zero divisors during gaussian elimination", -1);
zzdef_(zinc, Zmultiridge, "ridges with multiple neighbors", -1);
}
void qh_allstatB (void) {
zzdef_(zdoc, Zdoc1, "summary information", -1);
zdef_(zinc, Zvertices, "number of vertices in output", -1);
zdef_(zinc, Znumfacets, "number of facets in output", -1);
zdef_(zinc, Znumridges, "number of ridges in output", -1);
zdef_(zadd, Znumridges, "average number of ridges per facet", Znumfacets);
zdef_(zmax, Zmaxridges, "maximum number of ridges", -1);
zdef_(zadd, Znumneighbors, "average number of neighbors per facet", Znumfacets);
zdef_(zmax, Zmaxneighbors, "maximum number of neighbors", -1);
zdef_(zadd, Znumvertices, "average number of vertices per facet", Znumfacets);
zdef_(zmax, Zmaxvertices, "maximum number of vertices", -1);
zdef_(zadd, Znumvneighbors, "average number of neighbors per vertex", Zvertices);
zdef_(zmax, Zmaxvneighbors, "maximum number of neighbors", -1);
zdef_(wadd, Wcpu, "cpu seconds for qhull after input", -1);
zdef_(zinc, Ztotvertices, "vertices created altogether", -1);
zzdef_(zinc, Zsetplane, "facets created altogether", -1);
zdef_(zinc, Ztotridges, "ridges created altogether", -1);
zdef_(zinc, Zpostfacets, "facets before post merge", -1);
zdef_(zadd, Znummergetot, "average merges per facet (at most 511)", Znumfacets);
zdef_(zmax, Znummergemax, " maximum merges for a facet (at most 511)", -1);
zdef_(zinc, Zangle, NULL, -1);
zdef_(wadd, Wangle, "average angle (cosine) for all ridges", Zangle);
zdef_(wmax, Wanglemax, " maximum angle (cosine) of a ridge", -1);
zdef_(wmin, Wanglemin, " minimum angle (cosine) of a ridge", -1);
zdef_(wadd, Wareatot, "total area of facets", -1);
zdef_(wmax, Wareamax, " maximum facet area", -1);
zdef_(wmin, Wareamin, " minimum facet area", -1);
}
void qh_allstatC (void) {
zdef_(zdoc, Zdoc9, "build hull statistics", -1);
zzdef_(zinc, Zprocessed, "points processed", -1);
zzdef_(zinc, Zretry, "retries due to precision problems", -1);
zdef_(wmax, Wretrymax, " max. random joggle", -1);
zdef_(zmax, Zmaxvertex, "max. vertices at any one time", -1);
zdef_(zinc, Ztotvisible, "ave. visible facets per iteration", Zprocessed);
zdef_(zinc, Zinsidevisible, " ave. visible facets without an horizon neighbor", Zprocessed);
zdef_(zadd, Zvisfacettot, " ave. facets deleted per iteration", Zprocessed);
zdef_(zmax, Zvisfacetmax, " maximum", -1);
zdef_(zadd, Zvisvertextot, "ave. visible vertices per iteration", Zprocessed);
zdef_(zmax, Zvisvertexmax, " maximum", -1);
zdef_(zadd, Zdelvertextot, " ave. vertices deleted per iteration", Zprocessed);
zdef_(zmax, Zdelvertexmax, " maximum vertices deleted", -1);
zdef_(zinc, Ztothorizon, "ave. horizon facets per iteration", Zprocessed);
zdef_(zadd, Znewfacettot, "ave. new or merged facets per iteration", Zprocessed);
zdef_(zmax, Znewfacetmax, " maximum (includes initial simplex)", -1);
zdef_(wadd, Wnewbalance, "average new facet balance", Zprocessed);
zdef_(wadd, Wnewbalance2, " standard deviation", -1);
zdef_(wadd, Wpbalance, "average partition balance", Zpbalance);
zdef_(wadd, Wpbalance2, " standard deviation", -1);
zdef_(zinc, Zpbalance, " number of trials", -1);
zdef_(zinc, Zsearchpoints, "searches of all points for initial simplex", -1);
zdef_(zinc, Zdetsimplex, "determinants computed (area & initial hull)", -1);
zdef_(zinc, Znoarea, "determinants not computed because vertex too low", -1);
zdef_(zinc, Znotmax, "points ignored (not above max_outside)", -1);
zdef_(zinc, Znotgood, "points ignored (not above a good facet)", -1);
zdef_(zinc, Znotgoodnew, "points ignored (didn't create a good new facet)", -1);
zdef_(zinc, Zgoodfacet, "good facets found", -1);
zzdef_(zinc, Znumvisibility, "distance tests for facet visibility", -1);
zdef_(zinc, Zdistvertex, "distance tests to report minimum vertex", -1);
zdef_(zinc, Ztotcheck, "points checked for facets' outer planes", -1);
zdef_(zinc, Zcheckpart, " ave. distance tests per check", Ztotcheck);
}
void qh_allstatD(void) {
zdef_(zdoc, Zdoc4, "partitioning statistics", -1);
zdef_(zinc, Zpartinside, "inside points", -1);
zdef_(zinc, Zpartnear, " inside points kept with a facet", -1);
zdef_(zinc, Zcoplanarinside, " inside points that were coplanar with a facet", -1);
zdef_(wadd, Wmaxout, "difference in max_outside at final check", -1);
zzdef_(zinc, Zpartitionall, "distance tests for initial partition", -1);
zdef_(zinc, Ztotpartition, "partitions of a point", -1);
zzdef_(zinc, Zpartition, "distance tests for partitioning", -1);
zzdef_(zinc, Zdistcheck, "distance tests for checking flipped facets", -1);
zzdef_(zinc, Zdistconvex, "distance tests for checking convexity", -1);
zdef_(zinc, Zdistgood, "distance tests for checking good point", -1);
zdef_(zinc, Zdistio, "distance tests for output", -1);
zdef_(zinc, Zdiststat, "distance tests for statistics", -1);
zdef_(zinc, Zdistplane, "total number of distance tests", -1);
zdef_(zinc, Ztotpartcoplanar, "partitions of coplanar points or deleted vertices", -1);
zzdef_(zinc, Zpartcoplanar, " distance tests for these partitions", -1);
zdef_(zinc, Zcomputefurthest, "distance tests for computing furthest", -1);
}
void qh_allstatE(void) {
zdef_(zdoc, Zdoc5, "statistics for matching ridges", -1);
zdef_(zinc, Zhashlookup, "total lookups for matching ridges of new facets", -1);
zdef_(zinc, Zhashtests, "average number of tests to match a ridge", Zhashlookup);
zdef_(zinc, Zhashridge, "total lookups of subridges (duplicates and boundary)", -1);
zdef_(zinc, Zhashridgetest, "average number of tests per subridge", Zhashridge);
zdef_(zinc, Zdupsame, "duplicated ridges in same merge cycle", -1);
zdef_(zinc, Zdupflip, "duplicated ridges with flipped facets", -1);
zdef_(zdoc, Zdoc6, "statistics for determining merges", -1);
zdef_(zinc, Zangletests, "angles computed for ridge convexity", -1);
zdef_(zinc, Zbestcentrum, "best merges used centrum instead of vertices",-1);
zzdef_(zinc, Zbestdist, "distance tests for best merge", -1);
zzdef_(zinc, Zcentrumtests, "distance tests for centrum convexity", -1);
zzdef_(zinc, Zdistzero, "distance tests for checking simplicial convexity", -1);
zdef_(zinc, Zcoplanarangle, "coplanar angles in getmergeset", -1);
zdef_(zinc, Zcoplanarcentrum, "coplanar centrums in getmergeset", -1);
zdef_(zinc, Zconcaveridge, "concave ridges in getmergeset", -1);
}
void qh_allstatF(void) {
zdef_(zdoc, Zdoc7, "statistics for merging", -1);
zdef_(zinc, Zpremergetot, "merge iterations", -1);
zdef_(zadd, Zmergeinittot, "ave. initial non-convex ridges per iteration", Zpremergetot);
zdef_(zadd, Zmergeinitmax, " maximum", -1);
zdef_(zadd, Zmergesettot, " ave. additional non-convex ridges per iteration", Zpremergetot);
zdef_(zadd, Zmergesetmax, " maximum additional in one pass", -1);
zdef_(zadd, Zmergeinittot2, "initial non-convex ridges for post merging", -1);
zdef_(zadd, Zmergesettot2, " additional non-convex ridges", -1);
zdef_(wmax, Wmaxoutside, "max distance of vertex or coplanar point above facet (w/roundoff)", -1);
zdef_(wmin, Wminvertex, "max distance of merged vertex below facet (or roundoff)", -1);
zdef_(zinc, Zwidefacet, "centrums frozen due to a wide merge", -1);
zdef_(zinc, Zwidevertices, "centrums frozen due to extra vertices", -1);
zzdef_(zinc, Ztotmerge, "total number of facets or cycles of facets merged", -1);
zdef_(zinc, Zmergesimplex, "merged a simplex", -1);
zdef_(zinc, Zonehorizon, "simplices merged into coplanar horizon", -1);
zzdef_(zinc, Zcyclehorizon, "cycles of facets merged into coplanar horizon", -1);
zzdef_(zadd, Zcyclefacettot, " ave. facets per cycle", Zcyclehorizon);
zdef_(zmax, Zcyclefacetmax, " max. facets", -1);
zdef_(zinc, Zmergeintohorizon, "new facets merged into horizon", -1);
zdef_(zinc, Zmergenew, "new facets merged", -1);
zdef_(zinc, Zmergehorizon, "horizon facets merged into new facets", -1);
zdef_(zinc, Zmergevertex, "vertices deleted by merging", -1);
zdef_(zinc, Zcyclevertex, "vertices deleted by merging into coplanar horizon", -1);
zdef_(zinc, Zdegenvertex, "vertices deleted by degenerate facet", -1);
zdef_(zinc, Zmergeflipdup, "merges due to flipped facets in duplicated ridge", -1);
zdef_(zinc, Zneighbor, "merges due to redundant neighbors", -1);
zdef_(zadd, Ztestvneighbor, "non-convex vertex neighbors", -1);
}
void qh_allstatG(void) {
zdef_(zinc, Zacoplanar, "merges due to angle coplanar facets", -1);
zdef_(wadd, Wacoplanartot, " average merge distance", Zacoplanar);
zdef_(wmax, Wacoplanarmax, " maximum merge distance", -1);
zdef_(zinc, Zcoplanar, "merges due to coplanar facets", -1);
zdef_(wadd, Wcoplanartot, " average merge distance", Zcoplanar);
zdef_(wmax, Wcoplanarmax, " maximum merge distance", -1);
zdef_(zinc, Zconcave, "merges due to concave facets", -1);
zdef_(wadd, Wconcavetot, " average merge distance", Zconcave);
zdef_(wmax, Wconcavemax, " maximum merge distance", -1);
zdef_(zinc, Zavoidold, "coplanar/concave merges due to avoiding old merge", -1);
zdef_(wadd, Wavoidoldtot, " average merge distance", Zavoidold);
zdef_(wmax, Wavoidoldmax, " maximum merge distance", -1);
zdef_(zinc, Zdegen, "merges due to degenerate facets", -1);
zdef_(wadd, Wdegentot, " average merge distance", Zdegen);
zdef_(wmax, Wdegenmax, " maximum merge distance", -1);
zdef_(zinc, Zflipped, "merges due to removing flipped facets", -1);
zdef_(wadd, Wflippedtot, " average merge distance", Zflipped);
zdef_(wmax, Wflippedmax, " maximum merge distance", -1);
zdef_(zinc, Zduplicate, "merges due to duplicated ridges", -1);
zdef_(wadd, Wduplicatetot, " average merge distance", Zduplicate);
zdef_(wmax, Wduplicatemax, " maximum merge distance", -1);
}
void qh_allstatH(void) {
zdef_(zdoc, Zdoc8, "renamed vertex statistics", -1);
zdef_(zinc, Zrenameshare, "renamed vertices shared by two facets", -1);
zdef_(zinc, Zrenamepinch, "renamed vertices in a pinched facet", -1);
zdef_(zinc, Zrenameall, "renamed vertices shared by multiple facets", -1);
zdef_(zinc, Zfindfail, "rename failures due to duplicated ridges", -1);
zdef_(zinc, Zdupridge, " duplicate ridges detected", -1);
zdef_(zinc, Zdelridge, "deleted ridges due to renamed vertices", -1);
zdef_(zinc, Zdropneighbor, "dropped neighbors due to renamed vertices", -1);
zdef_(zinc, Zdropdegen, "degenerate facets due to dropped neighbors", -1);
zdef_(zinc, Zdelfacetdup, " facets deleted because of no neighbors", -1);
zdef_(zinc, Zremvertex, "vertices removed from facets due to no ridges", -1);
zdef_(zinc, Zremvertexdel, " deleted", -1);
zdef_(zinc, Zintersectnum, "vertex intersections for locating redundant vertices", -1);
zdef_(zinc, Zintersectfail, "intersections failed to find a redundant vertex", -1);
zdef_(zinc, Zintersect, "intersections found redundant vertices", -1);
zdef_(zadd, Zintersecttot, " ave. number found per vertex", Zintersect);
zdef_(zmax, Zintersectmax, " max. found for a vertex", -1);
zdef_(zinc, Zvertexridge, NULL, -1);
zdef_(zadd, Zvertexridgetot, " ave. number of ridges per tested vertex", Zvertexridge);
zdef_(zmax, Zvertexridgemax, " max. number of ridges per tested vertex", -1);
zdef_(zdoc, Zdoc10, "memory usage statistics (in bytes)", -1);
zdef_(zadd, Zmemfacets, "for facets and their normals, neighbor and vertex sets", -1);
zdef_(zadd, Zmemvertices, "for vertices and their neighbor sets", -1);
zdef_(zadd, Zmempoints, "for input points and outside and coplanar sets",-1);
zdef_(zadd, Zmemridges, "for ridges and their vertex sets", -1);
} /* allstat */
void qh_allstatI(void) {
qhstat vridges= qhstat next;
zzdef_(zdoc, Zdoc11, "Voronoi ridge statistics", -1);
zzdef_(zinc, Zridge, "non-simplicial Voronoi vertices for all ridges", -1);
zzdef_(wadd, Wridge, " ave. distance to ridge", Zridge);
zzdef_(wmax, Wridgemax, " max. distance to ridge", -1);
zzdef_(zinc, Zridgemid, "bounded ridges", -1);
zzdef_(wadd, Wridgemid, " ave. distance of midpoint to ridge", Zridgemid);
zzdef_(wmax, Wridgemidmax, " max. distance of midpoint to ridge", -1);
zzdef_(zinc, Zridgeok, "bounded ridges with ok normal", -1);
zzdef_(wadd, Wridgeok, " ave. angle to ridge", Zridgeok);
zzdef_(wmax, Wridgeokmax, " max. angle to ridge", -1);
zzdef_(zinc, Zridge0, "bounded ridges with near-zero normal", -1);
zzdef_(wadd, Wridge0, " ave. angle to ridge", Zridge0);
zzdef_(wmax, Wridge0max, " max. angle to ridge", -1);
} /* allstat */
/*-<a href="qh-c.htm#stat"
>-------------------------------</a><a name="allstatistics">-</a>
qh_allstatistics()
reset printed flag for all statistics
*/
void qh_allstatistics (void) {
int i;
for (i=ZEND; i--; )
qhstat printed[i]= False;
} /* allstatistics */
#if qh_KEEPstatistics
/*-<a href="qh-c.htm#stat"
>-------------------------------</a><a name="collectstatistics">-</a>
qh_collectstatistics()
collect statistics for qh.facet_list
*/
void qh_collectstatistics (void) {
facetT *facet, *neighbor, **neighborp;
vertexT *vertex, **vertexp;
realT dotproduct, dist;
int sizneighbors, sizridges, sizvertices, i;
qh old_randomdist= qh RANDOMdist;
qh RANDOMdist= False;
zval_(Zmempoints)= qh num_points * qh normal_size +
sizeof (qhT) + sizeof (qhstatT);
zval_(Zmemfacets)= 0;
zval_(Zmemridges)= 0;
zval_(Zmemvertices)= 0;
zval_(Zangle)= 0;
wval_(Wangle)= 0.0;
zval_(Znumridges)= 0;
zval_(Znumfacets)= 0;
zval_(Znumneighbors)= 0;
zval_(Znumvertices)= 0;
zval_(Znumvneighbors)= 0;
zval_(Znummergetot)= 0;
zval_(Znummergemax)= 0;
zval_(Zvertices)= qh num_vertices - qh_setsize (qh del_vertices);
if (qh MERGING || qh APPROXhull || qh JOGGLEmax < REALmax/2)
wmax_(Wmaxoutside, qh max_outside);
if (qh MERGING)
wmin_(Wminvertex, qh min_vertex);
FORALLfacets
facet->seen= False;
if (qh DELAUNAY) {
FORALLfacets {
if (facet->upperdelaunay != qh UPPERdelaunay)
facet->seen= True; /* remove from angle statistics */
}
}
FORALLfacets {
if (facet->visible && qh NEWfacets)
continue;
sizvertices= qh_setsize (facet->vertices);
sizneighbors= qh_setsize (facet->neighbors);
sizridges= qh_setsize (facet->ridges);
zinc_(Znumfacets);
zadd_(Znumvertices, sizvertices);
zmax_(Zmaxvertices, sizvertices);
zadd_(Znumneighbors, sizneighbors);
zmax_(Zmaxneighbors, sizneighbors);
zadd_(Znummergetot, facet->nummerge);
i= facet->nummerge; /* avoid warnings */
zmax_(Znummergemax, i);
if (sizridges) {
zadd_(Znumridges, sizridges);
zmax_(Zmaxridges, sizridges);
}
zadd_(Zmemfacets, sizeof (facetT) + qh normal_size + 2*sizeof (setT)
+ SETelemsize * (sizneighbors + sizvertices));
if (facet->ridges) {
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