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00014 #include "qhull_a.h"
00015
00016
00017
00018 #if qh_QHpointer
00019 qhstatT *qh_qhstat=NULL;
00020 #else
00021 qhstatT qh_qhstat;
00022 #endif
00023
00024
00025
00026
00027
00028
00029
00030
00031
00032
00033
00034
00035
00036 void qh_allstatA(void) {
00037
00038
00039 zzdef_(zdoc, Zdoc2, "precision statistics", -1);
00040 zdef_(zinc, Znewvertex, NULL, -1);
00041 zdef_(wadd, Wnewvertex, "ave. distance of a new vertex to a facet(!0s)", Znewvertex);
00042 zzdef_(wmax, Wnewvertexmax, "max. distance of a new vertex to a facet", -1);
00043 zdef_(wmax, Wvertexmax, "max. distance of an output vertex to a facet", -1);
00044 zdef_(wmin, Wvertexmin, "min. distance of an output vertex to a facet", -1);
00045 zdef_(wmin, Wmindenom, "min. denominator in hyperplane computation", -1);
00046
00047 qhstat precision= qhstat next;
00048 zzdef_(zdoc, Zdoc3, "precision problems (corrected unless 'Q0' or an error)", -1);
00049 zzdef_(zinc, Zcoplanarridges, "coplanar half ridges in output", -1);
00050 zzdef_(zinc, Zconcaveridges, "concave half ridges in output", -1);
00051 zzdef_(zinc, Zflippedfacets, "flipped facets", -1);
00052 zzdef_(zinc, Zcoplanarhorizon, "coplanar horizon facets for new vertices", -1);
00053 zzdef_(zinc, Zcoplanarpart, "coplanar points during partitioning", -1);
00054 zzdef_(zinc, Zminnorm, "degenerate hyperplanes recomputed with gaussian elimination", -1);
00055 zzdef_(zinc, Znearlysingular, "nearly singular or axis-parallel hyperplanes", -1);
00056 zzdef_(zinc, Zback0, "zero divisors during back substitute", -1);
00057 zzdef_(zinc, Zgauss0, "zero divisors during gaussian elimination", -1);
00058 zzdef_(zinc, Zmultiridge, "ridges with multiple neighbors", -1);
00059 }
00060 void qh_allstatB(void) {
00061 zzdef_(zdoc, Zdoc1, "summary information", -1);
00062 zdef_(zinc, Zvertices, "number of vertices in output", -1);
00063 zdef_(zinc, Znumfacets, "number of facets in output", -1);
00064 zdef_(zinc, Znonsimplicial, "number of non-simplicial facets in output", -1);
00065 zdef_(zinc, Znowsimplicial, "number of simplicial facets that were merged", -1);
00066 zdef_(zinc, Znumridges, "number of ridges in output", -1);
00067 zdef_(zadd, Znumridges, "average number of ridges per facet", Znumfacets);
00068 zdef_(zmax, Zmaxridges, "maximum number of ridges", -1);
00069 zdef_(zadd, Znumneighbors, "average number of neighbors per facet", Znumfacets);
00070 zdef_(zmax, Zmaxneighbors, "maximum number of neighbors", -1);
00071 zdef_(zadd, Znumvertices, "average number of vertices per facet", Znumfacets);
00072 zdef_(zmax, Zmaxvertices, "maximum number of vertices", -1);
00073 zdef_(zadd, Znumvneighbors, "average number of neighbors per vertex", Zvertices);
00074 zdef_(zmax, Zmaxvneighbors, "maximum number of neighbors", -1);
00075 zdef_(wadd, Wcpu, "cpu seconds for qhull after input", -1);
00076 zdef_(zinc, Ztotvertices, "vertices created altogether", -1);
00077 zzdef_(zinc, Zsetplane, "facets created altogether", -1);
00078 zdef_(zinc, Ztotridges, "ridges created altogether", -1);
00079 zdef_(zinc, Zpostfacets, "facets before post merge", -1);
00080 zdef_(zadd, Znummergetot, "average merges per facet(at most 511)", Znumfacets);
00081 zdef_(zmax, Znummergemax, " maximum merges for a facet(at most 511)", -1);
00082 zdef_(zinc, Zangle, NULL, -1);
00083 zdef_(wadd, Wangle, "average angle(cosine) of facet normals for all ridges", Zangle);
00084 zdef_(wmax, Wanglemax, " maximum angle(cosine) of facet normals across a ridge", -1);
00085 zdef_(wmin, Wanglemin, " minimum angle(cosine) of facet normals across a ridge", -1);
00086 zdef_(wadd, Wareatot, "total area of facets", -1);
00087 zdef_(wmax, Wareamax, " maximum facet area", -1);
00088 zdef_(wmin, Wareamin, " minimum facet area", -1);
00089 }
00090 void qh_allstatC(void) {
00091 zdef_(zdoc, Zdoc9, "build hull statistics", -1);
00092 zzdef_(zinc, Zprocessed, "points processed", -1);
00093 zzdef_(zinc, Zretry, "retries due to precision problems", -1);
00094 zdef_(wmax, Wretrymax, " max. random joggle", -1);
00095 zdef_(zmax, Zmaxvertex, "max. vertices at any one time", -1);
00096 zdef_(zinc, Ztotvisible, "ave. visible facets per iteration", Zprocessed);
00097 zdef_(zinc, Zinsidevisible, " ave. visible facets without an horizon neighbor", Zprocessed);
00098 zdef_(zadd, Zvisfacettot, " ave. facets deleted per iteration", Zprocessed);
00099 zdef_(zmax, Zvisfacetmax, " maximum", -1);
00100 zdef_(zadd, Zvisvertextot, "ave. visible vertices per iteration", Zprocessed);
00101 zdef_(zmax, Zvisvertexmax, " maximum", -1);
00102 zdef_(zinc, Ztothorizon, "ave. horizon facets per iteration", Zprocessed);
00103 zdef_(zadd, Znewfacettot, "ave. new or merged facets per iteration", Zprocessed);
00104 zdef_(zmax, Znewfacetmax, " maximum(includes initial simplex)", -1);
00105 zdef_(wadd, Wnewbalance, "average new facet balance", Zprocessed);
00106 zdef_(wadd, Wnewbalance2, " standard deviation", -1);
00107 zdef_(wadd, Wpbalance, "average partition balance", Zpbalance);
00108 zdef_(wadd, Wpbalance2, " standard deviation", -1);
00109 zdef_(zinc, Zpbalance, " number of trials", -1);
00110 zdef_(zinc, Zsearchpoints, "searches of all points for initial simplex", -1);
00111 zdef_(zinc, Zdetsimplex, "determinants computed(area & initial hull)", -1);
00112 zdef_(zinc, Znoarea, "determinants not computed because vertex too low", -1);
00113 zdef_(zinc, Znotmax, "points ignored(!above max_outside)", -1);
00114 zdef_(zinc, Znotgood, "points ignored(!above a good facet)", -1);
00115 zdef_(zinc, Znotgoodnew, "points ignored(didn't create a good new facet)", -1);
00116 zdef_(zinc, Zgoodfacet, "good facets found", -1);
00117 zzdef_(zinc, Znumvisibility, "distance tests for facet visibility", -1);
00118 zdef_(zinc, Zdistvertex, "distance tests to report minimum vertex", -1);
00119 zzdef_(zinc, Ztotcheck, "points checked for facets' outer planes", -1);
00120 zzdef_(zinc, Zcheckpart, " ave. distance tests per check", Ztotcheck);
00121 }
00122 void qh_allstatD(void) {
00123 zdef_(zinc, Zvisit, "resets of visit_id", -1);
00124 zdef_(zinc, Zvvisit, " resets of vertex_visit", -1);
00125 zdef_(zmax, Zvisit2max, " max visit_id/2", -1);
00126 zdef_(zmax, Zvvisit2max, " max vertex_visit/2", -1);
00127
00128 zdef_(zdoc, Zdoc4, "partitioning statistics(see previous for outer planes)", -1);
00129 zzdef_(zadd, Zdelvertextot, "total vertices deleted", -1);
00130 zdef_(zmax, Zdelvertexmax, " maximum vertices deleted per iteration", -1);
00131 zdef_(zinc, Zfindbest, "calls to findbest", -1);
00132 zdef_(zadd, Zfindbesttot, " ave. facets tested", Zfindbest);
00133 zdef_(zmax, Zfindbestmax, " max. facets tested", -1);
00134 zdef_(zadd, Zfindcoplanar, " ave. coplanar search", Zfindbest);
00135 zdef_(zinc, Zfindnew, "calls to findbestnew", -1);
00136 zdef_(zadd, Zfindnewtot, " ave. facets tested", Zfindnew);
00137 zdef_(zmax, Zfindnewmax, " max. facets tested", -1);
00138 zdef_(zinc, Zfindnewjump, " ave. clearly better", Zfindnew);
00139 zdef_(zinc, Zfindnewsharp, " calls due to qh_sharpnewfacets", -1);
00140 zdef_(zinc, Zfindhorizon, "calls to findhorizon", -1);
00141 zdef_(zadd, Zfindhorizontot, " ave. facets tested", Zfindhorizon);
00142 zdef_(zmax, Zfindhorizonmax, " max. facets tested", -1);
00143 zdef_(zinc, Zfindjump, " ave. clearly better", Zfindhorizon);
00144 zdef_(zinc, Zparthorizon, " horizon facets better than bestfacet", -1);
00145 zdef_(zinc, Zpartangle, "angle tests for repartitioned coplanar points", -1);
00146 zdef_(zinc, Zpartflip, " repartitioned coplanar points for flipped orientation", -1);
00147 }
00148 void qh_allstatE(void) {
00149 zdef_(zinc, Zpartinside, "inside points", -1);
00150 zdef_(zinc, Zpartnear, " inside points kept with a facet", -1);
00151 zdef_(zinc, Zcoplanarinside, " inside points that were coplanar with a facet", -1);
00152 zdef_(zinc, Zbestlower, "calls to findbestlower", -1);
00153 zdef_(zinc, Zbestlowerv, " with search of vertex neighbors", -1);
00154 zdef_(wadd, Wmaxout, "difference in max_outside at final check", -1);
00155 zzdef_(zinc, Zpartitionall, "distance tests for initial partition", -1);
00156 zdef_(zinc, Ztotpartition, "partitions of a point", -1);
00157 zzdef_(zinc, Zpartition, "distance tests for partitioning", -1);
00158 zzdef_(zinc, Zdistcheck, "distance tests for checking flipped facets", -1);
00159 zzdef_(zinc, Zdistconvex, "distance tests for checking convexity", -1);
00160 zdef_(zinc, Zdistgood, "distance tests for checking good point", -1);
00161 zdef_(zinc, Zdistio, "distance tests for output", -1);
00162 zdef_(zinc, Zdiststat, "distance tests for statistics", -1);
00163 zdef_(zinc, Zdistplane, "total number of distance tests", -1);
00164 zdef_(zinc, Ztotpartcoplanar, "partitions of coplanar points or deleted vertices", -1);
00165 zzdef_(zinc, Zpartcoplanar, " distance tests for these partitions", -1);
00166 zdef_(zinc, Zcomputefurthest, "distance tests for computing furthest", -1);
00167 }
00168 void qh_allstatE2(void) {
00169 zdef_(zdoc, Zdoc5, "statistics for matching ridges", -1);
00170 zdef_(zinc, Zhashlookup, "total lookups for matching ridges of new facets", -1);
00171 zdef_(zinc, Zhashtests, "average number of tests to match a ridge", Zhashlookup);
00172 zdef_(zinc, Zhashridge, "total lookups of subridges(duplicates and boundary)", -1);
00173 zdef_(zinc, Zhashridgetest, "average number of tests per subridge", Zhashridge);
00174 zdef_(zinc, Zdupsame, "duplicated ridges in same merge cycle", -1);
00175 zdef_(zinc, Zdupflip, "duplicated ridges with flipped facets", -1);
00176
00177 zdef_(zdoc, Zdoc6, "statistics for determining merges", -1);
00178 zdef_(zinc, Zangletests, "angles computed for ridge convexity", -1);
00179 zdef_(zinc, Zbestcentrum, "best merges used centrum instead of vertices",-1);
00180 zzdef_(zinc, Zbestdist, "distance tests for best merge", -1);
00181 zzdef_(zinc, Zcentrumtests, "distance tests for centrum convexity", -1);
00182 zzdef_(zinc, Zdistzero, "distance tests for checking simplicial convexity", -1);
00183 zdef_(zinc, Zcoplanarangle, "coplanar angles in getmergeset", -1);
00184 zdef_(zinc, Zcoplanarcentrum, "coplanar centrums in getmergeset", -1);
00185 zdef_(zinc, Zconcaveridge, "concave ridges in getmergeset", -1);
00186 }
00187 void qh_allstatF(void) {
00188 zdef_(zdoc, Zdoc7, "statistics for merging", -1);
00189 zdef_(zinc, Zpremergetot, "merge iterations", -1);
00190 zdef_(zadd, Zmergeinittot, "ave. initial non-convex ridges per iteration", Zpremergetot);
00191 zdef_(zadd, Zmergeinitmax, " maximum", -1);
00192 zdef_(zadd, Zmergesettot, " ave. additional non-convex ridges per iteration", Zpremergetot);
00193 zdef_(zadd, Zmergesetmax, " maximum additional in one pass", -1);
00194 zdef_(zadd, Zmergeinittot2, "initial non-convex ridges for post merging", -1);
00195 zdef_(zadd, Zmergesettot2, " additional non-convex ridges", -1);
00196 zdef_(wmax, Wmaxoutside, "max distance of vertex or coplanar point above facet(w/roundoff)", -1);
00197 zdef_(wmin, Wminvertex, "max distance of merged vertex below facet(or roundoff)", -1);
00198 zdef_(zinc, Zwidefacet, "centrums frozen due to a wide merge", -1);
00199 zdef_(zinc, Zwidevertices, "centrums frozen due to extra vertices", -1);
00200 zzdef_(zinc, Ztotmerge, "total number of facets or cycles of facets merged", -1);
00201 zdef_(zinc, Zmergesimplex, "merged a simplex", -1);
00202 zdef_(zinc, Zonehorizon, "simplices merged into coplanar horizon", -1);
00203 zzdef_(zinc, Zcyclehorizon, "cycles of facets merged into coplanar horizon", -1);
00204 zzdef_(zadd, Zcyclefacettot, " ave. facets per cycle", Zcyclehorizon);
00205 zdef_(zmax, Zcyclefacetmax, " max. facets", -1);
00206 zdef_(zinc, Zmergeintohorizon, "new facets merged into horizon", -1);
00207 zdef_(zinc, Zmergenew, "new facets merged", -1);
00208 zdef_(zinc, Zmergehorizon, "horizon facets merged into new facets", -1);
00209 zdef_(zinc, Zmergevertex, "vertices deleted by merging", -1);
00210 zdef_(zinc, Zcyclevertex, "vertices deleted by merging into coplanar horizon", -1);
00211 zdef_(zinc, Zdegenvertex, "vertices deleted by degenerate facet", -1);
00212 zdef_(zinc, Zmergeflipdup, "merges due to flipped facets in duplicated ridge", -1);
00213 zdef_(zinc, Zneighbor, "merges due to redundant neighbors", -1);
00214 zdef_(zadd, Ztestvneighbor, "non-convex vertex neighbors", -1);
00215 }
00216 void qh_allstatG(void) {
00217 zdef_(zinc, Zacoplanar, "merges due to angle coplanar facets", -1);
00218 zdef_(wadd, Wacoplanartot, " average merge distance", Zacoplanar);
00219 zdef_(wmax, Wacoplanarmax, " maximum merge distance", -1);
00220 zdef_(zinc, Zcoplanar, "merges due to coplanar facets", -1);
00221 zdef_(wadd, Wcoplanartot, " average merge distance", Zcoplanar);
00222 zdef_(wmax, Wcoplanarmax, " maximum merge distance", -1);
00223 zdef_(zinc, Zconcave, "merges due to concave facets", -1);
00224 zdef_(wadd, Wconcavetot, " average merge distance", Zconcave);
00225 zdef_(wmax, Wconcavemax, " maximum merge distance", -1);
00226 zdef_(zinc, Zavoidold, "coplanar/concave merges due to avoiding old merge", -1);
00227 zdef_(wadd, Wavoidoldtot, " average merge distance", Zavoidold);
00228 zdef_(wmax, Wavoidoldmax, " maximum merge distance", -1);
00229 zdef_(zinc, Zdegen, "merges due to degenerate facets", -1);
00230 zdef_(wadd, Wdegentot, " average merge distance", Zdegen);
00231 zdef_(wmax, Wdegenmax, " maximum merge distance", -1);
00232 zdef_(zinc, Zflipped, "merges due to removing flipped facets", -1);
00233 zdef_(wadd, Wflippedtot, " average merge distance", Zflipped);
00234 zdef_(wmax, Wflippedmax, " maximum merge distance", -1);
00235 zdef_(zinc, Zduplicate, "merges due to duplicated ridges", -1);
00236 zdef_(wadd, Wduplicatetot, " average merge distance", Zduplicate);
00237 zdef_(wmax, Wduplicatemax, " maximum merge distance", -1);
00238 }
00239 void qh_allstatH(void) {
00240 zdef_(zdoc, Zdoc8, "renamed vertex statistics", -1);
00241 zdef_(zinc, Zrenameshare, "renamed vertices shared by two facets", -1);
00242 zdef_(zinc, Zrenamepinch, "renamed vertices in a pinched facet", -1);
00243 zdef_(zinc, Zrenameall, "renamed vertices shared by multiple facets", -1);
00244 zdef_(zinc, Zfindfail, "rename failures due to duplicated ridges", -1);
00245 zdef_(zinc, Zdupridge, " duplicate ridges detected", -1);
00246 zdef_(zinc, Zdelridge, "deleted ridges due to renamed vertices", -1);
00247 zdef_(zinc, Zdropneighbor, "dropped neighbors due to renamed vertices", -1);
00248 zdef_(zinc, Zdropdegen, "degenerate facets due to dropped neighbors", -1);
00249 zdef_(zinc, Zdelfacetdup, " facets deleted because of no neighbors", -1);
00250 zdef_(zinc, Zremvertex, "vertices removed from facets due to no ridges", -1);
00251 zdef_(zinc, Zremvertexdel, " deleted", -1);
00252 zdef_(zinc, Zintersectnum, "vertex intersections for locating redundant vertices", -1);
00253 zdef_(zinc, Zintersectfail, "intersections failed to find a redundant vertex", -1);
00254 zdef_(zinc, Zintersect, "intersections found redundant vertices", -1);
00255 zdef_(zadd, Zintersecttot, " ave. number found per vertex", Zintersect);
00256 zdef_(zmax, Zintersectmax, " max. found for a vertex", -1);
00257 zdef_(zinc, Zvertexridge, NULL, -1);
00258 zdef_(zadd, Zvertexridgetot, " ave. number of ridges per tested vertex", Zvertexridge);
00259 zdef_(zmax, Zvertexridgemax, " max. number of ridges per tested vertex", -1);
00260
00261 zdef_(zdoc, Zdoc10, "memory usage statistics(in bytes)", -1);
00262 zdef_(zadd, Zmemfacets, "for facets and their normals, neighbor and vertex sets", -1);
00263 zdef_(zadd, Zmemvertices, "for vertices and their neighbor sets", -1);
00264 zdef_(zadd, Zmempoints, "for input points and outside and coplanar sets",-1);
00265 zdef_(zadd, Zmemridges, "for ridges and their vertex sets", -1);
00266 }
00267
00268 void qh_allstatI(void) {
00269 qhstat vridges= qhstat next;
00270 zzdef_(zdoc, Zdoc11, "Voronoi ridge statistics", -1);
00271 zzdef_(zinc, Zridge, "non-simplicial Voronoi vertices for all ridges", -1);
00272 zzdef_(wadd, Wridge, " ave. distance to ridge", Zridge);
00273 zzdef_(wmax, Wridgemax, " max. distance to ridge", -1);
00274 zzdef_(zinc, Zridgemid, "bounded ridges", -1);
00275 zzdef_(wadd, Wridgemid, " ave. distance of midpoint to ridge", Zridgemid);
00276 zzdef_(wmax, Wridgemidmax, " max. distance of midpoint to ridge", -1);
00277 zzdef_(zinc, Zridgeok, "bounded ridges with ok normal", -1);
00278 zzdef_(wadd, Wridgeok, " ave. angle to ridge", Zridgeok);
00279 zzdef_(wmax, Wridgeokmax, " max. angle to ridge", -1);
00280 zzdef_(zinc, Zridge0, "bounded ridges with near-zero normal", -1);
00281 zzdef_(wadd, Wridge0, " ave. angle to ridge", Zridge0);
00282 zzdef_(wmax, Wridge0max, " max. angle to ridge", -1);
00283
00284 zdef_(zdoc, Zdoc12, "Triangulation statistics(Qt)", -1);
00285 zdef_(zinc, Ztricoplanar, "non-simplicial facets triangulated", -1);
00286 zdef_(zadd, Ztricoplanartot, " ave. new facets created(may be deleted)", Ztricoplanar);
00287 zdef_(zmax, Ztricoplanarmax, " max. new facets created", -1);
00288 zdef_(zinc, Ztrinull, "null new facets deleted(duplicated vertex)", -1);
00289 zdef_(zinc, Ztrimirror, "mirrored pairs of new facets deleted(same vertices)", -1);
00290 zdef_(zinc, Ztridegen, "degenerate new facets in output(same ridge)", -1);
00291 }
00292
00293
00294
00295
00296
00297
00298
00299 void qh_allstatistics(void) {
00300 int i;
00301
00302 for(i=ZEND; i--; )
00303 qhstat printed[i]= False;
00304 }
00305
00306 #if qh_KEEPstatistics
00307
00308
00309
00310
00311
00312
00313
00314 void qh_collectstatistics(void) {
00315 facetT *facet, *neighbor, **neighborp;
00316 vertexT *vertex, **vertexp;
00317 realT dotproduct, dist;
00318 int sizneighbors, sizridges, sizvertices, i;
00319
00320 qh old_randomdist= qh RANDOMdist;
00321 qh RANDOMdist= False;
00322 zval_(Zmempoints)= qh num_points * qh normal_size +
00323 sizeof(qhT) + sizeof(qhstatT);
00324 zval_(Zmemfacets)= 0;
00325 zval_(Zmemridges)= 0;
00326 zval_(Zmemvertices)= 0;
00327 zval_(Zangle)= 0;
00328 wval_(Wangle)= 0.0;
00329 zval_(Znumridges)= 0;
00330 zval_(Znumfacets)= 0;
00331 zval_(Znumneighbors)= 0;
00332 zval_(Znumvertices)= 0;
00333 zval_(Znumvneighbors)= 0;
00334 zval_(Znummergetot)= 0;
00335 zval_(Znummergemax)= 0;
00336 zval_(Zvertices)= qh num_vertices - qh_setsize(qh del_vertices);
00337 if (qh MERGING || qh APPROXhull || qh JOGGLEmax < REALmax/2)
00338 wmax_(Wmaxoutside, qh max_outside);
00339 if (qh MERGING)
00340 wmin_(Wminvertex, qh min_vertex);
00341 FORALLfacets
00342 facet->seen= False;
00343 if (qh DELAUNAY) {
00344 FORALLfacets {
00345 if (facet->upperdelaunay != qh UPPERdelaunay)
00346 facet->seen= True;
00347 }
00348 }
00349 FORALLfacets {
00350 if (facet->visible && qh NEWfacets)
00351 continue;
00352 sizvertices= qh_setsize(facet->vertices);
00353 sizneighbors= qh_setsize(facet->neighbors);
00354 sizridges= qh_setsize(facet->ridges);
00355 zinc_(Znumfacets);
00356 zadd_(Znumvertices, sizvertices);
00357 zmax_(Zmaxvertices, sizvertices);
00358 zadd_(Znumneighbors, sizneighbors);
00359 zmax_(Zmaxneighbors, sizneighbors);
00360 zadd_(Znummergetot, facet->nummerge);
00361 i= facet->nummerge;
00362 zmax_(Znummergemax, i);
00363 if (!facet->simplicial) {
00364 if (sizvertices == qh hull_dim) {
00365 zinc_(Znowsimplicial);
00366 }else {
00367 zinc_(Znonsimplicial);
00368 }
00369 }
00370 if (sizridges) {
00371 zadd_(Znumridges, sizridges);
00372 zmax_(Zmaxridges, sizridges);
00373 }
00374 zadd_(Zmemfacets, sizeof(facetT) + qh normal_size + 2*sizeof(setT)
00375 + SETelemsize * (sizneighbors + sizvertices));
00376 if (facet->ridges) {
00377 zadd_(Zmemridges,
00378 sizeof(setT) + SETelemsize * sizridges + sizridges *
00379 (sizeof(ridgeT) + sizeof(setT) + SETelemsize * (qh hull_dim-1))/2);
00380 }
00381 if (facet->outsideset)
00382 zadd_(Zmempoints, sizeof(setT) + SETelemsize * qh_setsize(facet->outsideset));
00383 if (facet->coplanarset)
00384 zadd_(Zmempoints, sizeof(setT) + SETelemsize * qh_setsize(facet->coplanarset));
00385 if (facet->seen)
00386 continue;
00387 facet->seen= True;
00388 FOREACHneighbor_(facet) {
00389 if (neighbor == qh_DUPLICATEridge || neighbor == qh_MERGEridge
00390 || neighbor->seen || !facet->normal || !neighbor->normal)
00391 continue;
00392 dotproduct= qh_getangle(facet->normal, neighbor->normal);
00393 zinc_(Zangle);
00394 wadd_(Wangle, dotproduct);
00395 wmax_(Wanglemax, dotproduct)
00396 wmin_(Wanglemin, dotproduct)
00397 }
00398 if (facet->normal) {
00399 FOREACHvertex_(facet->vertices) {
00400 zinc_(Zdiststat);
00401 qh_distplane(vertex->point, facet, &dist);
00402 wmax_(Wvertexmax, dist);
00403 wmin_(Wvertexmin, dist);
00404 }
00405 }
00406 }
00407 FORALLvertices {
00408 if (vertex->deleted)
00409 continue;
00410 zadd_(Zmemvertices, sizeof(vertexT));
00411 if (vertex->neighbors) {
00412 sizneighbors= qh_setsize(vertex->neighbors);
00413 zadd_(Znumvneighbors, sizneighbors);
00414 zmax_(Zmaxvneighbors, sizneighbors);
00415 zadd_(Zmemvertices, sizeof(vertexT) + SETelemsize * sizneighbors);
00416 }
00417 }
00418 qh RANDOMdist= qh old_randomdist;
00419 }
00420 #endif
00421
00422
00423
00424
00425
00426
00427
00428 void qh_freestatistics(void) {
00429
00430 #if qh_QHpointer
00431 qh_free(qh_qhstat);
00432 qh_qhstat= NULL;
00433 #endif
00434 }
00435
00436
00437
00438
00439
00440
00441
00442
00443
00444
00445
00446 void qh_initstatistics(void) {
00447 int i;
00448 realT realx;
00449 int intx;
00450
00451 #if qh_QHpointer
00452 if(qh_qhstat){
00453 qh_free(qh_qhstat);
00454 qh_qhstat= 0;
00455 }
00456 if (!(qh_qhstat= (qhstatT *)qh_malloc(sizeof(qhstatT)))) {
00457 qh_fprintf(qhmem.ferr, 6183, "qhull error (qh_initstatistics): insufficient memory\n");
00458 qh_exit(qh_ERRmem);
00459 }
00460 #endif
00461
00462 qhstat next= 0;
00463 qh_allstatA();
00464 qh_allstatB();
00465 qh_allstatC();
00466 qh_allstatD();
00467 qh_allstatE();
00468 qh_allstatE2();
00469 qh_allstatF();
00470 qh_allstatG();
00471 qh_allstatH();
00472 qh_allstatI();
00473 if (qhstat next > (int)sizeof(qhstat id)) {
00474 qh_fprintf(qhmem.ferr, 6184, "qhull error (qh_initstatistics): increase size of qhstat.id[].\n\
00475 qhstat.next %d should be <= sizeof(qhstat id) %d\n", qhstat next, (int)sizeof(qhstat id));
00476 #if 0
00477 for(i=0; i < ZEND; i++) {
00478 int j;
00479 for(j=i+1; j < ZEND; j++) {
00480 if (qhstat id[i] == qhstat id[j]) {
00481 qh_fprintf(qhmem.ferr, 6185, "qhull error (qh_initstatistics): duplicated statistic %d at indices %d and %d\n",
00482 qhstat id[i], i, j);
00483 }
00484 }
00485 }
00486 #endif
00487 qh_exit(qh_ERRqhull);
00488 }
00489 qhstat init[zinc].i= 0;
00490 qhstat init[zadd].i= 0;
00491 qhstat init[zmin].i= INT_MAX;
00492 qhstat init[zmax].i= INT_MIN;
00493 qhstat init[wadd].r= 0;
00494 qhstat init[wmin].r= REALmax;
00495 qhstat init[wmax].r= -REALmax;
00496 for(i=0; i < ZEND; i++) {
00497 if (qhstat type[i] > ZTYPEreal) {
00498 realx= qhstat init[(unsigned char)(qhstat type[i])].r;
00499 qhstat stats[i].r= realx;
00500 }else if (qhstat type[i] != zdoc) {
00501 intx= qhstat init[(unsigned char)(qhstat type[i])].i;
00502 qhstat stats[i].i= intx;
00503 }
00504 }
00505 }
00506
00507
00508
00509
00510
00511
00512
00513
00514
00515
00516 boolT qh_newstats(int idx, int *nextindex) {
00517 boolT isnew= False;
00518 int start, i;
00519
00520 if (qhstat type[qhstat id[idx]] == zdoc)
00521 start= idx+1;
00522 else
00523 start= idx;
00524 for(i= start; i < qhstat next && qhstat type[qhstat id[i]] != zdoc; i++) {
00525 if (!qh_nostatistic(qhstat id[i]) && !qhstat printed[qhstat id[i]])
00526 isnew= True;
00527 }
00528 *nextindex= i;
00529 return isnew;
00530 }
00531
00532
00533
00534
00535
00536
00537
00538 boolT qh_nostatistic(int i) {
00539
00540 if ((qhstat type[i] > ZTYPEreal
00541 &&qhstat stats[i].r == qhstat init[(unsigned char)(qhstat type[i])].r)
00542 || (qhstat type[i] < ZTYPEreal
00543 &&qhstat stats[i].i == qhstat init[(unsigned char)(qhstat type[i])].i))
00544 return True;
00545 return False;
00546 }
00547
00548 #if qh_KEEPstatistics
00549
00550
00551
00552
00553
00554
00555 void qh_printallstatistics(FILE *fp, const char *string) {
00556
00557 qh_allstatistics();
00558 qh_collectstatistics();
00559 qh_printstatistics(fp, string);
00560 qh_memstatistics(fp);
00561 }
00562
00563
00564
00565
00566
00567
00568
00569
00570
00571
00572
00573
00574 void qh_printstatistics(FILE *fp, const char *string) {
00575 int i, k;
00576 realT ave;
00577
00578 if (qh num_points != qh num_vertices) {
00579 wval_(Wpbalance)= 0;
00580 wval_(Wpbalance2)= 0;
00581 }else
00582 wval_(Wpbalance2)= qh_stddev(zval_(Zpbalance), wval_(Wpbalance),
00583 wval_(Wpbalance2), &ave);
00584 wval_(Wnewbalance2)= qh_stddev(zval_(Zprocessed), wval_(Wnewbalance),
00585 wval_(Wnewbalance2), &ave);
00586 qh_fprintf(fp, 9350, "\n\
00587 %s\n\
00588 qhull invoked by: %s | %s\n%s with options:\n%s\n", string, qh rbox_command,
00589 qh qhull_command, qh_version, qh qhull_options);
00590 qh_fprintf(fp, 9351, "\nprecision constants:\n\
00591 %6.2g max. abs. coordinate in the (transformed) input('Qbd:n')\n\
00592 %6.2g max. roundoff error for distance computation('En')\n\
00593 %6.2g max. roundoff error for angle computations\n\
00594 %6.2g min. distance for outside points ('Wn')\n\
00595 %6.2g min. distance for visible facets ('Vn')\n\
00596 %6.2g max. distance for coplanar facets ('Un')\n\
00597 %6.2g max. facet width for recomputing centrum and area\n\
00598 ",
00599 qh MAXabs_coord, qh DISTround, qh ANGLEround, qh MINoutside,
00600 qh MINvisible, qh MAXcoplanar, qh WIDEfacet);
00601 if (qh KEEPnearinside)
00602 qh_fprintf(fp, 9352, "\
00603 %6.2g max. distance for near-inside points\n", qh NEARinside);
00604 if (qh premerge_cos < REALmax/2) qh_fprintf(fp, 9353, "\
00605 %6.2g max. cosine for pre-merge angle\n", qh premerge_cos);
00606 if (qh PREmerge) qh_fprintf(fp, 9354, "\
00607 %6.2g radius of pre-merge centrum\n", qh premerge_centrum);
00608 if (qh postmerge_cos < REALmax/2) qh_fprintf(fp, 9355, "\
00609 %6.2g max. cosine for post-merge angle\n", qh postmerge_cos);
00610 if (qh POSTmerge) qh_fprintf(fp, 9356, "\
00611 %6.2g radius of post-merge centrum\n", qh postmerge_centrum);
00612 qh_fprintf(fp, 9357, "\
00613 %6.2g max. distance for merging two simplicial facets\n\
00614 %6.2g max. roundoff error for arithmetic operations\n\
00615 %6.2g min. denominator for divisions\n\
00616 zero diagonal for Gauss: ", qh ONEmerge, REALepsilon, qh MINdenom);
00617 for(k=0; k < qh hull_dim; k++)
00618 qh_fprintf(fp, 9358, "%6.2e ", qh NEARzero[k]);
00619 qh_fprintf(fp, 9359, "\n\n");
00620 for(i=0 ; i < qhstat next; )
00621 qh_printstats(fp, i, &i);
00622 }
00623 #endif
00624
00625
00626
00627
00628
00629
00630
00631
00632
00633
00634 void qh_printstatlevel(FILE *fp, int id, int start) {
00635 #define NULLfield " "
00636
00637 if (id >= ZEND || qhstat printed[id])
00638 return;
00639 if (qhstat type[id] == zdoc) {
00640 qh_fprintf(fp, 9360, "%s\n", qhstat doc[id]);
00641 return;
00642 }
00643 start= 0;
00644 if (qh_nostatistic(id) || !qhstat doc[id])
00645 return;
00646 qhstat printed[id]= True;
00647 if (qhstat count[id] != -1
00648 && qhstat stats[(unsigned char)(qhstat count[id])].i == 0)
00649 qh_fprintf(fp, 9361, " *0 cnt*");
00650 else if (qhstat type[id] >= ZTYPEreal && qhstat count[id] == -1)
00651 qh_fprintf(fp, 9362, "%7.2g", qhstat stats[id].r);
00652 else if (qhstat type[id] >= ZTYPEreal && qhstat count[id] != -1)
00653 qh_fprintf(fp, 9363, "%7.2g", qhstat stats[id].r/ qhstat stats[(unsigned char)(qhstat count[id])].i);
00654 else if (qhstat type[id] < ZTYPEreal && qhstat count[id] == -1)
00655 qh_fprintf(fp, 9364, "%7d", qhstat stats[id].i);
00656 else if (qhstat type[id] < ZTYPEreal && qhstat count[id] != -1)
00657 qh_fprintf(fp, 9365, "%7.3g", (realT) qhstat stats[id].i / qhstat stats[(unsigned char)(qhstat count[id])].i);
00658 qh_fprintf(fp, 9366, " %s\n", qhstat doc[id]);
00659 }
00660
00661
00662
00663
00664
00665
00666
00667
00668
00669
00670
00671 void qh_printstats(FILE *fp, int idx, int *nextindex) {
00672 int j, nexti;
00673
00674 if (qh_newstats(idx, &nexti)) {
00675 qh_fprintf(fp, 9367, "\n");
00676 for (j=idx; j<nexti; j++)
00677 qh_printstatlevel(fp, qhstat id[j], 0);
00678 }
00679 if (nextindex)
00680 *nextindex= nexti;
00681 }
00682
00683 #if qh_KEEPstatistics
00684
00685
00686
00687
00688
00689
00690
00691
00692
00693
00694
00695
00696
00697
00698
00699 realT qh_stddev(int num, realT tot, realT tot2, realT *ave) {
00700 realT stddev;
00701
00702 *ave= tot/num;
00703 stddev= sqrt(tot2/num - *ave * *ave);
00704 return stddev;
00705 }
00706
00707 #endif
00708
00709 #if !qh_KEEPstatistics
00710 void qh_collectstatistics(void) {}
00711 void qh_printallstatistics(FILE *fp, char *string) {};
00712 void qh_printstatistics(FILE *fp, char *string) {}
00713 #endif
00714